diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json new file mode 100644 index 0000000..d3d758e --- /dev/null +++ b/dev/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.7","generation_timestamp":"2024-11-29T16:12:09","documenter_version":"1.8.0"}} \ No newline at end of file diff --git a/dev/api.html b/dev/api.html new file mode 100644 index 0000000..269c262 --- /dev/null +++ b/dev/api.html @@ -0,0 +1,9 @@ + +API · BeforeIT.jl

Code reference

In this page we document the functions which constitute the bulk of BeforeIT.jl functionality.

Agent types

BeforeIT.AggregatesType

This is a Aggregates type. It is used to store the aggregate variables of the economy. Note that t is an integer, while the rest are floats or vectors of floats.

Fields

  • Y [vector]: GDP data + predictions
  • pi_ [vector]: inflation data + predictions
  • P_bar: Global price index
  • P_bar_g [vector]: Producer price index for principal good g
  • P_bar_HH: Consumer price index
  • P_bar_CF: Capital price index
  • P_bar_h: CPI_h
  • P_bar_CF_h: Capital price index _h
  • Y_e: Expected GDP
  • gamma_e: Expected growth
  • pi_e: Expected inflation
  • t: Time index
source
BeforeIT.BankType

This is a Bank type. It represents the bank of the model.

Fields

  • E_k: equity capital (common equity) of the bank
  • Pi_k: Profits of the bank
  • Pi_e_k: Expected profits of the bank
  • D_k: Residual and balancing item on the bank’s balance sheet
  • r: Rate for loans and morgages

Household fields (bank' owner)

  • Y_h: Net disposable income of bank owner (investor)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
  • K_h: Capital stock
  • D_h: Deposits
source
BeforeIT.CentralBankType

This is a CentralBank type. It represents the central bank of the model.

Fields

  • r_bar: Nominal interest rate
  • r_G: Interest rate on government bonds
  • rho: Parameter for gradual adjustment of the policy rate
  • r_star: Real equilibrium interest rate
  • pi_star: Inflation target by CB
  • xi_pi: Weight the CB puts on inflation targeting
  • xi_gamma: Weight placed on economic
  • E_CB: Central bank equity
source
BeforeIT.FirmsType

This is a Firms type. Each field is an array which stores the values for all the firms in the economy. Note that the G_i, N_i and V_i fields are integers, while the rest are floats.

For all fields the entry at index i corresponds to the ith firm.

Fields

  • G_i: Principal product
  • alpha_bar_i: Average productivity of labor
  • beta_i: Productivity of intermediate consumption
  • kappa_i: Productivity of capital
  • w_i: Wages
  • w_bar_i: Average wage rate
  • delta_i: Depreciation rate for capital
  • tau_Y_i: Net tax rate on products
  • tau_K_i: Net tax rate on production
  • N_i: Number of persons employed
  • Y_i: Production of goods
  • Q_i: Sales of goods
  • Q_d_i: Demand for goods
  • P_i: Price
  • S_i: Inventories
  • K_i: Capital, in real terms
  • M_i: Intermediate goods/services and raw materials, in real terms
  • L_i: Outstanding loans
  • pi_bar_i: Operating margin
  • D_i: Deposits of the firm
  • Pi_i: Profits
  • V_i: Vacancies
  • I_i: Investments
  • E_i: Equity
  • P_bar_i: Price index
  • P_CF_i: Price index
  • DS_i: Differnece in stock of final goods
  • DM_i: Difference in stock of intermediate goods
  • DL_i: Obtained loans
  • DL_d_i: Target loans
  • K_e_i: Expected capital
  • L_e_i: Expected loans
  • Q_s_i: Expected sales
  • I_d_i: Desired investments
  • DM_d_i: Desired materials
  • N_d_i: Desired employment
  • Pi_e_i: Expected profits

Household fields (firms' owners)

  • Y_h: Net disposable income of firm owner (investor)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
  • K_h: Capital stock
  • D_h: Deposits of the owner of the firms
source
BeforeIT.GovernmentType

This is a Government type. It represents the government of the model.

Fields

  • alpha_G: Autoregressive coefficient for government consumption
  • beta_G: Scalar constant for government consumption
  • sigma_G: Variance coefficient for government consumption
  • Y_G: Government revenues
  • C_G: Consumption demand of the general government
  • L_G: Loans taken out by the government
  • sb_inact: Social benefits for inactive persons
  • sb_other: Social benefits for all
  • C_d_j [vector]: Local governments consumption demand
  • C_j: Realised government consumption
  • P_j: Price inflation of government goods <- ??
source
BeforeIT.ModelType

This is a Model type. It is used to store all the agents of the economy.

Fields

  • w_act: Workers that are active
  • w_inact: Workers that are inactive
  • firms: Firms
  • bank: Bank
  • cb: CentralBank
  • gov: Government
  • rotw: RestOfTheWorld
  • agg: Aggregates
source
BeforeIT.RestOfTheWorldType

This is a RestOfTheWorld type. It represents the rest of the world of the model.

Fields

  • alpha_E: Autoregressive coefficient for exports
  • beta_E: Scalar constant for exports
  • sigma_E: Variance coefficient for exports
  • alpha_I: Autoregressive coefficient for imports
  • beta_I: Scalar constant for imports
  • sigma_I: Variance coefficient for imports
  • Y_EA: GDP euro area
  • gamma_EA: Growth euro area
  • pi_EA: Inflation euro area
  • alpha_pi_EA: Autoregressive coefficient for euro area inflation
  • beta_pi_EA: Autoregressive coefficient for euro area inflation Scalar constant for euro area inflation
  • sigma_pi_EA: Variance coefficient for euro area inflation
  • alpha_Y_EA: Autoregressive coefficient for euro area GDP
  • beta_Y_EA: Autoregressive coefficient for euro area GDP Scalar constant for euro area GDP
  • sigma_Y_EA: Variance coefficient for euro area GDP
  • D_RoW: Net creditor/debtor position of the national economy to the rest of the world
  • Y_I: Supply of imports (in real terms)
  • C_E: Total demand for exports
  • C_d_l [vector]: Demand for exports of specific product
  • C_l: Realised consumption by foreign consumers
  • Y_m [vector]: Supply of imports per sector
  • Q_m [vector]: Sales for imports per sector
  • Q_d_m [vector]: Demand for goods
  • P_m [vector]: Price of imports per sector
  • P_l: Price inflation of exports <- ??
source
BeforeIT.WorkersType

This is a Workers. Each field is an array which stores the values for all the workers in the economy. Note that the O_h field is an integer, while the rest are floats.

For all fields the entry at index i corresponds to the ith worker.

Fields

  • Y_h: Net disposable income of worker owner (investor)
  • D_h: Deposits
  • K_h: Capital stock
  • w_h: Wages (0 if inactive or unemployed)
  • O_h: Occupation (0 if unemployed, -1 if inactive)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
source

Initialisation function

BeforeIT.init_modelFunction
init_model(parameters, initial_conditions, T, typeInt = Int64, typeFloat = Float64)

Initializes the model with given parameters and initial conditions.

Parameters:

  • parameters: A dictionary containing the model parameters.
  • initial_conditions: A dictionary containing the initial conditions.
  • T (integer): The time horizon of the model.
  • typeInt: (optional, default: Int64): The data type to be used for integer values.
  • typeFloat: (optional, default: Float64): The data type to be used for floating-point values.

Returns:

  • model::Model: The initialized model.
source
BeforeIT.update_variables_with_totals!Method
update_variables_with_totals!(model::Model)

Update the variables in the given model with some global quantities obtained from all agents. This is the last step in the initialization process and it must be performed after all agents have been initialized.

Arguments

  • model::Model: The model object to update.

Returns

  • Nothing
source

Functions to run an entire simulation

BeforeIT.run_one_epoch!Method
run_one_epoch!(model; multi_threading = false)

This function simulates a single epoch the economic model, updating various components of the model based the interactions between different economic agents. It accepts a model object, which encapsulates the state for the simulation, and an optional boolean parameter multi_threading to enable or disable multi-threading.

Key operations performed include:

  • Financial adjustments for firms and banks, including insolvency checks and profit calculations.
  • Economic expectations and adjustments, such as growth, inflation, and central bank rates.
  • Labor and credit market operations, including wage updates and loan processing.
  • Household economic activities, including consumption and investment budgeting.
  • Government and international trade financial activities, including budgeting and trade balances.
  • General market matching and accounting updates to reflect changes in economic indicators and positions.

The function updates the model in-place and does not return any value.

source
BeforeIT.run_n_simsMethod
run_n_sims(model, n_sims; shock = NoShock(), multi_threading = true)

A function that runs n_sims simulations in parallel with multiple threading and returns a vector of data objects of dimension n_sims.

Arguments

  • model: The model configuration used to simulate.
  • n_sims: The number of simulations to run in parallel.

Returns

  • data_vector: A vector containing the data objects collected during each simulation.
source
BeforeIT.run_one_sim!Method
run_one_sim!(model; shock = NoShock())

Run a single simulation based on the provided model. The simulation runs for a number of epochs specified by model.prop.T.

Arguments

  • model::Model: The model configuration used for the simulation.

Returns

  • data::Data: The data collected during the simulation.

Details

The function initializes the data using BeforeIT.init_data(model), then iteratively updates the model and data for each epoch using BeforeIT.run_one_epoch!(model) and BeforeIT.update_data!(data, model) respectively.

Example

```julia model = BeforeIT.initializemodel(parameters, initialconditions, T) data = runonesim!(model)

source

Firms actions

BeforeIT.firms_depositsMethod
firms_deposits(firms, model)

Calculate the new deposits of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • DD_i: Vector of new deposits

The new deposits DD_i are calculated as follows:

DD_i = sales + labour_cost + material_cost + taxes_products + taxes_production + corporate_tax + dividend_payments + interest_payments + interest_received + investment_cost + new_credit + debt_installment

where:

  • sales = P_i * Q_i
  • labour_cost = (1 + tau_SIF) * w_i * N_i * P_bar_HH
  • material_cost = -DM_i * P_bar_i
  • taxes_products = -tau_Y_i * P_i * Y_i
  • taxes_production = -tau_K_i * P_i * Y_i
  • corporate_tax = -tau_FIRM * pos(Pi_i)
  • dividend_payments = -theta_DIV * (1 - tau_FIRM) * pos(Pi_i)
  • interest_payments = -r * (L_i + pos(-D_i))
  • interest_received = r_bar * pos(D_i)
  • investment_cost = -P_CF_i * I_i
  • new_credit = DL_i
  • debt_installment = -theta * L_i
source
BeforeIT.firms_equityMethod
firms_equity(firms, model)

Calculate the equity of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • E_i: Vector of equity

The equity E_i is calculated as follows:

\[E_i = D_i + M_i * \sum(a_{sg}[:, G_i] * \bar{P}_g) + P_i * S_i + \bar{P}_{CF} * K_i - L_i\]

where:

  • D_i: Deposits
  • M_i: Intermediate goods
  • a_sg: Technology coefficient of the gth product in the sth industry
  • G_i: Vector of goods
  • P_bar_g: Producer price index for principal good g
  • P_i: Price
  • S_i: Stock
  • P_bar_CF: Capital price index
  • K_i: Capital stock
  • L_i: Loans
source
BeforeIT.firms_expectations_and_decisionsMethod
firms_expectations_and_decisions(firms, model)

Calculate the expectations and decisions of firms. That is: compute firm quantity, price, investment and intermediate-goods, employment decisions, expected profits, and desired/expected loans and capital.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • Q_s_i: Vector of desired quantities
  • I_d_i: Vector of desired investments
  • DM_d_i: Vector of desired intermediate goods
  • N_d_i: Vector of desired employment
  • Pi_e_i: Vector of expected profits
  • DL_d_i: Vector of desired new loans
  • K_e_i: Vector of expected capital
  • L_e_i: Vector of expected loans
  • P_i: Vector of prices
source
BeforeIT.firms_loansMethod
firms_loans(firms, model)

Calculate the new loans of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • L_i: Vector of new loans

The new loans L_i are calculated as follows:

\[L_i = (1 - theta) * L_i + DL_i\]

where:

  • theta: Rate of repayment
  • L_i: Loans
  • DL_i: Acquired new loans
source
BeforeIT.firms_productionMethod
firms_production(firms)

Calculate the production of firms.

Arguments

  • firms: Firms object

Returns

  • Y_i: Vector of production

The production Y_i is computed using a Leontief technology.

source
BeforeIT.firms_profitsMethod
firms_profits(firms, model)

Calculate the profits of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • Pi_i: Vector of profits

The profits Pi_i are calculated as follows:

Pi_i = in_sales + in_deposits - out_wages - out_expenses - out_depreciation - out_taxes_prods - out_taxes_capital - out_loans

where:

  • in_sales = P_i * Q_i + P_i * DS_i
  • in_deposits = r_bar * pos(D_i)
  • out_wages = (1 + tau_SIF) * w_i * N_i * P_bar_HH
  • out_expenses = 1 / beta_i * P_bar_i * Y_i
  • out_depreciation = delta_i / kappa_i * P_CF_i * Y_i
  • out_taxes_prods = tau_Y_i * P_i * Y_i
  • out_taxes_capital = tau_K_i * P_i * Y_i
  • out_loans = r * (L_i + pos(-D_i))
source
BeforeIT.firms_stocksMethod
firms_stocks(firms)

Calculate the stocks of firms.

Arguments

  • firms: Firms object

Returns

  • K_i: Vector of capital stock
  • M_i: Vector of intermediate goods
  • DS_i: Vector of differneces in stock of final goods
  • S_i: Vector of stock of final goods

The stocks are calculated as follows:

K_i = K_i - delta_i / kappa_i * Y_i + I_i
+M_i = M_i - Y_i / beta_i + DM_i
+DS_i = Y_i - Q_i
+S_i = S_i + DS_i
source
BeforeIT.firms_wagesMethod
firms_wages(firms)

Calculate the wages set by firms.

Arguments

  • firms: Firms object

Returns

  • w_i: Vector of wages
source
BeforeIT.init_firmsMethod
init_firms(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)

Initialize firms with given parameters and initial conditions.

Arguments

  • parameters: The parameters for initializing the firms.
  • initial_conditions: The initial conditions for the firms.
  • typeInt: (optional) The integer type to be used. Default is Int64.
  • typeFloat: (optional) The floating-point type to be used. Default is Float64.

Returns

  • firms::Firms: The initialized firms.
  • firms_args::Tuple: The arguments used to initialize the firms.
source
BeforeIT.leontief_productionMethod
leontief_production(Q_s_i, N_i, alpha_i, K_i, kappa_i, M_i, beta_i)

Calculate the production function of firms.

Arguments

  • Q_s_i: Vector of desired quantities
  • N_i: Vector of employment
  • alpha_i: Vector of labour productivity
  • K_i: Vector of capital stock
  • kappa_i: Vector of capital productivity
  • M_i: Vector of intermediate goods
  • beta_i: Vector of intermediate goods productivity

Returns

  • Y_i: Vector of production

The Leontief production function Y_i is calculated as follows:

\[Y_i = \min(Q_s_i, \min(N_i \cdot \alpha_i, \min(K_i \cdot \kappa_i, M_i \cdot \beta_i)))\]

source

Households actions

Government actions

BeforeIT.gov_expenditureMethod
gov_expenditure(gov::AbstractGovernment, model)

Computes government expenditure on consumption and transfers to households.

Arguments

  • gov: government object
  • model: model object

Returns

  • C_G: government consumption
  • C_d_j: local government consumptions
source
BeforeIT.gov_loansMethod
gov_loans(gov::AbstractGovernment, model, Y_G)

Computes government new government debt.

Arguments

  • gov::AbstractGovernment: government object
  • model: model object

Returns

  • L_G: new government debt
source
BeforeIT.gov_revenuesMethod
gov_revenues(model)

Computes government revenues from taxes and social security contributions. The government collects taxes on labour income, capital income, value added, and corporate income. It also collects social security contributions from workers and firms. The government also collects taxes on consumption and capital formation. Finally, the government collects taxes on exports and imports.

Arguments

  • model: model object

Returns

  • Y_G: government revenues
source
BeforeIT.gov_social_benefitsMethod
gov_social_benefits(gov::AbstractGovernment, model)

Computes social benefits paid by the government households.

Arguments

  • gov: government object
  • model: model object

Returns

  • sb_other: social benefits for other households
  • sb_inact: social benefits for inactive households
source
BeforeIT.init_governmentMethod
init_government(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)

Initialize the government agent.

Arguments

  • parameters: The parameters.
  • initial_conditions: The initial conditions.
  • typeInt: The integer type to be used (default: Int64).
  • typeFloat: The floating-point type to be used (default: Float64).

Returns

  • The initialized government model.
  • The arguments used to initialize the government model.
source

Bank and Central Bank actions

BeforeIT._bank_depositsMethod
_deposit_bank(waD_h, wiD_h, fD_h, bD_h, fD_i, bE_k, fL_i)

Helper function to calculate the new deposits of a bank.

Arguments

  • waD_h: Array of deposits from active workers
  • wiD_h: Array of deposits from inactive workers
  • fD_h: Array of deposits from firms
  • bD_h: Deposits from the bank owner
  • fD_i: Array of deposits from firms
  • bE_k: Bank equity
  • fL_i: Array of loans to firms

Returns

  • D_k: New deposits of the bank

The new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.

source
BeforeIT._bank_profitsMethod
_bank_profits(L_i, D_i, D_h, D_k, r_bar, r)

Helper function to calculate the total profits of a bank.

Arguments

  • L_i: Array of loans provided by the bank
  • D_i: Array of deposits from firms
  • D_h: Array of deposits from households
  • D_k: Residual and balancing item on the bank’s balance sheet
  • r_bar: Base interest rate
  • r: Interest rate set by the bank

Returns

  • Pi_k: Total profits of the bank

The total profits Pi_k are calculated as follows:

\[\Pi_k = r \cdot \sum_i(L_i + \max(0, -D_i)) + r \cdot \sum_h(\max(0, -D_h)) + r_{bar} +\cdot \max(0, D_k) - r_{bar} \cdot \sum_i(\max(0, D_i)) - r_{bar} \cdot +\sum_h(\max(0, D_h)) - r_{bar} \cdot \max(0, -D_k)\]

source
BeforeIT._central_bank_profitsMethod
_central_bank_profits(r_bar, D_k, L_G, r_G)

Helper function to calculate the profits of a central bank.

Arguments

  • r_bar: The base interest rate
  • D_k: Deposits from commercial banks
  • L_G: Loans provided to the government
  • r_G: Interest rate on government loans

Returns

  • Pi_CB: Profits of the central bank

The profits Pi_CB are calculated as follows:

\[\{Pi}_{CB} = r_{G} \cdot L_{G} - r_{bar} \cdot D_{k}\]

source
BeforeIT.bank_depositsMethod
deposits_bank(bank, w_act, w_inact, firms)

Calculate the new deposits of a bank.

Arguments

  • bank: The Bank object containing the bank of the model
  • w_act: The Workers object containing the active workers of the model
  • w_inact: The Workers object containing the inactive workers of the model
  • firms: The Firms object containing the firms of the model

Returns

  • D_k: New deposits of the bank

The new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.

source
BeforeIT.bank_equityMethod
bank_equity(bank, model)

Calculate the net profits of a bank.

Arguments

  • bank: The bank object.
  • model: The model object.

Returns

  • E_k: The updated equity of the bank.

The net profits DE_k are calculated as:

\[DE_k = \Pi_k - \theta_{DIV} \cdot (1 - \tau_{FIRM}) \cdot \max(0, \Pi_k) - \tau_{FIRM} \cdot \max(0, \Pi_k)\]

and the equity E_k is updated as:

\[E_k = E_k + DE_k\]

source
BeforeIT.bank_expected_profitsMethod
bank_expected_profits(Pi_k, pi_e, gamma_e)

Calculate the expected profits of a bank.

Arguments

  • Pi_k: Past profits of the bank
  • pi_e: Expected inflation rate
  • gamma_e: Expected growth rate

Returns

  • E_Pi_k: Expected profits of the bank

The expected profits E_Pi_k are calculated as follows:

\[E_{\Pi_k} = \Pi_k \cdot (1 + \pi_e) \cdot (1 + \gamma_e)\]

source
BeforeIT.bank_profitsMethod
bank_profits(bank, model)

Calculate the total profits of a bank.

Arguments

  • bank: The bank object.
  • model: The model object.

Returns

  • Pi_k: The total profits of the bank.

The total profits Pi_k are calculated as:

\[\Pi_k = r \cdot \sum_i(L_i + \max(0, -D_i)) + r \cdot \sum_h(\max(0, -D_h)) + r_{bar} +\cdot \max(0, D_k) - r_{bar} \cdot \sum_i(\max(0, D_i)) - r_{bar} \cdot +\sum_h(\max(0, D_h)) - r_{bar} \cdot \max(0, -D_k)\]

source
BeforeIT.bank_rateMethod
bank_rate(bank, model)

Update the interest rate set by the bank.

Arguments

  • bank: The bank whose interest rate is to be updated
  • model: Model object

Returns

  • r: The updated interest rate

\[r = \bar{r} + \mu\]

source
BeforeIT.central_bank_equityMethod
central_bank_equity(cb, model)

Calculate the equity of the central bank.

Arguments

  • cb: The central bank
  • model: The model object

Returns

  • E_CB: The equity of the central bank

The equity E_CB is calculated as follows:

\[E_{CB} = E_{CB} + \Pi_{CB}\]

where \Pi_{CB} are the profits of the central bank.

source
BeforeIT.central_bank_rateMethod
central_bank_rate(cb, model)

Update the base interest rate set by the central bank according to the Taylor rule.

Arguments

  • cb: The central bank whose base interest rate is to be updated
  • model: The model object

Returns

  • r_bar: The updated base interest rate
source
BeforeIT.finance_insolvent_firms!Method
finance_insolvent_firms!(firms, bank, P_bar_CF, zeta_b,  insolvent)

Rifinance insolvent firms using bank equity.

Arguments

  • firms: The Firms object containing the firms of the model
  • bank: The Bank object containing the bank of the model
  • P_bar_CF: Capital price index
  • zeta_b: Parameter of loan-to-capital ratio for new firms after bankruptcy

Returns

  • This function does not return a value. It modifies the banks and firms collections in-place.
source
BeforeIT.taylor_ruleMethod
taylor_rule(rho, r_bar, r_star, pi_star, xi_pi, xi_gamma, gamma_EA, pi_EA)

Calculate the interest rate according to the Taylor rule.

Arguments

  • rho: Parameter for gradual adjustment of the policy rate.
  • r_bar: Nominal interest rate.
  • r_star: Real equilibrium interest rate.
  • pi_star: The target inflation rate.
  • xi_pi: Weight the CB puts on inflation targeting.
  • xi_gamma: Weight placed on economic growth.
  • gamma_EA: The output growth rate.
  • pi_EA: The inflation rate.

Returns

  • rate: The calculated interest rate.

The Taylor rule is given by the following equation:

\[r_t = ρ * r_{t-1} + (1 - ρ) * (r^* + π^* + ξ_π * (π_t - π^*) + ξ_γ * γ_t)```\]

source

Rest Of The World actions

BeforeIT.rotw_depositsMethod
rotw_deposits(rotw, tau_EXPORT)

Calculate the deposits of the rest of the world.

Arguments

  • rotw: The rest of the world object.
  • tau_EXPORT: The export tax.

Returns

  • D_RoW: The deposits of the rest of the world.

The deposits D_RoW are calculated as follows:

\[D_{RoW} = D_{RoW} + \left( \sum_{m} P_m \cdot Q_m \right) - (1 + \tau_{EXPORT}) \cdot C_l\]

source
BeforeIT.rotw_import_exportMethod
rotw_import_export(rotw, model, pi_e, epsilon_E, epsilon_I)

Calculate the demand for exports and supply of imports of the rest of the world.

Arguments

  • rotw: The rest of the world object.
  • model: The model object.

Returns

  • C_E: Total demand for exports.
  • Y_I: Supply of imports (in real terms).
  • C_d_l: TDemand for exports of specific product.
  • Y_m: Supply of imports per sector.
  • P_m: Price of imports per sector.
source

Markets

BeforeIT.search_and_matching_creditMethod
search_and_matching_credit(firms::Firms, model)

This function calculates the credit allocation for each firm in the given firms object.

Parameters:

  • firms::Firms: The firms object.
  • model: The model object.

Returns:

  • DL_i: An array of credit allocations for each firm.
source
BeforeIT.search_and_matching_labourMethod
search_and_matching_labour(firms::Firms, model)

This function implements a labor search and matching algorithm. It takes in a Firms object and a Model object as input. The Firms object contains information about the number of desired employees (N_d_i) and the current number of employees (N_i) for each firm. The model object contains information about the current employment status (O_h) of each worker.

The function performs the following steps:

  • Calculates the vacancies (V_i) for each firm as the difference between desired and current employees.
  • Identifies employed workers and shuffles them randomly.
  • Fires workers from firms with negative vacancies to adjust the workforce.
  • Identifies unemployed workers and firms with positive vacancies.
  • Randomly matches unemployed workers to firms with vacancies until all vacancies are filled or there are no more unemployed workers.

The function returns:

  • N_i: An updated array of the number of employed workers for each firm.
  • O_h: An updated array where each element represents the firm a worker is employed with (0 if unemployed).
source
BeforeIT.search_and_matching!Function
search_and_matching!(model, multi_threading::Bool = false)

This function performs a search and matching algorithm for firms and for retail markets. It takes in a model object and an optional boolean argument for multi-threading. The function loops over all goods and performs the firms market and retail market operations for each good. Finally, it updates the aggregate variables based on the results of markets.

Args:

  • model: The model object
  • multi_threading: A boolean indicating whether to use multi-threading for the algorithm. Default is false.

This function updates the model in-place and does not return any value.

source
diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js new file mode 100644 index 0000000..7d68cd8 --- /dev/null +++ b/dev/assets/documenter.js @@ -0,0 +1,1082 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+
+ ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +/////// SEARCH MAIN /////// + +function runSearchMainCode() { + // `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! + const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), + ]; + const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; + const worker_blob = new Blob([worker_str], { type: "text/javascript" }); + const worker = new Worker(URL.createObjectURL(worker_blob)); + + // Whether the worker is currently handling a search. This is a boolean + // as the worker only ever handles 1 or 0 searches at a time. + var worker_is_running = false; + + // The last search text that was sent to the worker. This is used to determine + // if the worker should be launched again when it reports back results. + var last_search_text = ""; + + // The results of the last search. This, in combination with the state of the filters + // in the DOM, is used compute the results to display on calls to update_search. + var unfiltered_results = []; + + // Which filter is currently selected + var selected_filter = ""; + + $(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } + }); + + function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); + } + + worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); + }; + + $(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); + }); + + /** + * Make/Update the search component + */ + function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } + } + + /** + * Make the modal filter html + * + * @returns string + */ + function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; + } +} + +function waitUntilSearchIndexAvailable() { + // It is possible that the documenter.js script runs before the page + // has finished loading and documenterSearchIndex gets defined. + // So we need to wait until the search index actually loads before setting + // up all the search-related stuff. + if (typeof documenterSearchIndex !== "undefined") { + runSearchMainCode(); + } else { + console.warn("Search Index not available, waiting"); + setTimeout(waitUntilSearchIndexAvailable, 1000); + } +} + +// The actual entry point to the search code +waitUntilSearchIndexAvailable(); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` + + `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` + + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/dev/assets/logo.png b/dev/assets/logo.png new file mode 100644 index 0000000..9f6ce8c Binary files /dev/null and b/dev/assets/logo.png differ diff --git a/dev/assets/themes/catppuccin-frappe.css 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.button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe 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.button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text 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a.navbar-item:focus,html.theme--catppuccin-frappe a.navbar-item:focus-within,html.theme--catppuccin-frappe a.navbar-item:hover,html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link:focus,html.theme--catppuccin-frappe .navbar-link:focus-within,html.theme--catppuccin-frappe .navbar-link:hover,html.theme--catppuccin-frappe .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#8caaee}html.theme--catppuccin-frappe .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .navbar-item img{max-height:1.75rem}html.theme--catppuccin-frappe .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-frappe .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-frappe .navbar-item.is-tab:focus,html.theme--catppuccin-frappe .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee}html.theme--catppuccin-frappe .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee;border-bottom-style:solid;border-bottom-width:3px;color:#8caaee;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-frappe .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-frappe .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-frappe .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-frappe .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-frappe 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#838ba7}html.theme--catppuccin-frappe .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#8caaee}.navbar.is-spaced html.theme--catppuccin-frappe .navbar-dropdown,html.theme--catppuccin-frappe .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-frappe .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-frappe .navbar-divider{display:block}html.theme--catppuccin-frappe .navbar>.container .navbar-brand,html.theme--catppuccin-frappe .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-frappe .navbar>.container .navbar-menu,html.theme--catppuccin-frappe .container>.navbar 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-frappe .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-frappe .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-frappe .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-frappe .panel.is-dark .panel-heading,html.theme--catppuccin-frappe .content kbd.panel .panel-heading{background-color:#414559;color:#fff}html.theme--catppuccin-frappe .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-frappe .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#414559}html.theme--catppuccin-frappe .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-frappe .content kbd.panel .panel-block.is-active .panel-icon{color:#414559}html.theme--catppuccin-frappe .panel.is-primary 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rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus:not(:active),html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-latte .button.is-primary.is-focused:not(:active),html.theme--catppuccin-latte .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-primary:active,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-latte .button.is-primary.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-active.docs-sourcelink{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary[disabled],html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-primary.is-inverted,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-primary.is-inverted[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-loading::after,html.theme--catppuccin-latte .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-primary.is-outlined,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-outlined:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-latte 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.button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table 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#documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field .field{margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-body{display:flex;flex-basis:0;flex-grow:5;flex-shrink:1}html.theme--catppuccin-latte .field-body .field{margin-bottom:0}html.theme--catppuccin-latte .field-body>.field{flex-shrink:1}html.theme--catppuccin-latte .field-body>.field:not(.is-narrow){flex-grow:1}html.theme--catppuccin-latte .field-body>.field:not(:last-child){margin-right:.75rem}}html.theme--catppuccin-latte .control{box-sizing:border-box;clear:both;font-size:1rem;position:relative;text-align:inherit}html.theme--catppuccin-latte .control.has-icons-left .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left .select:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .select:focus~.icon{color:#ccd0da}html.theme--catppuccin-latte .control.has-icons-left .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-small~.icon{font-size:.75rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-medium~.icon{font-size:1.25rem}html.theme--catppuccin-latte .control.has-icons-left 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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.button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#3c5dcd}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #3c5dcd #3c5dcd !important}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;color:#259a12}html.theme--documenter-dark .button.is-success.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-outlined.is-focused{background-color:#259a12;border-color:#259a12;color:#fff}html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-success.is-light{background-color:#effded;color:#2ec016}html.theme--documenter-dark .button.is-success.is-light:hover,html.theme--documenter-dark 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#f4c72f;box-shadow:none;color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f4c72f #f4c72f !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fefaec;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fdf7e0;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fdf3d3;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#c13930;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(203,60,51,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#b7362e;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:#cb3c33;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 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.docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/dev/assets/themeswap.js b/dev/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/dev/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/dev/assets/warner.js b/dev/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/dev/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/dev/examples/basic_example-a2af98c8.svg b/dev/examples/basic_example-a2af98c8.svg new file mode 100644 index 0000000..7084289 --- /dev/null +++ b/dev/examples/basic_example-a2af98c8.svg @@ -0,0 +1,279 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/basic_example-c5f9ca65.svg b/dev/examples/basic_example-c5f9ca65.svg new file mode 100644 index 0000000..c5d71ce --- /dev/null +++ b/dev/examples/basic_example-c5f9ca65.svg @@ -0,0 +1,296 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/basic_example-e264b563.svg b/dev/examples/basic_example-e264b563.svg new file mode 100644 index 0000000..f060692 --- /dev/null +++ b/dev/examples/basic_example-e264b563.svg @@ -0,0 +1,46 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/basic_example.html b/dev/examples/basic_example.html new file mode 100644 index 0000000..3b8367c --- /dev/null +++ b/dev/examples/basic_example.html @@ -0,0 +1,31 @@ + +Essentials · BeforeIT.jl

Essential use of BeforeIT

We start by importing the BeforeIT library and other useful libraries.

import BeforeIT as Bit
+using FileIO, Plots

We then initialise the model loading some precomputed set of parameters and by specifying a number of epochs. In another tutorial we will illustrate how to compute parameters and initial conditions.

parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

We can now initialise the model, by specifying in advance the maximum number of epochs.

T = 16
+model = Bit.init_model(parameters, initial_conditions, T)
Model(Workers{Vector{Float64}, Vector{Int64}}([0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249  …  4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569], [3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487  …  22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958], [6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249  …  42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983  …  11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]), Workers{Vector{Float64}, Vector{Int64}}([2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714  …  2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714], [13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984  …  13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984], [25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977  …  25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1  …  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]), Firms{Vector{Float64}, Vector{Int64}}([1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  62, 62, 62, 62, 62, 62, 62, 62, 62, 62], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951], [1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485  …  3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877], [0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754  …  0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983  …  2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687], [0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721  …  0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782], [0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832  …  0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318], [-0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635  …  0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  1, 1, 1, 1, 2, 3, 1, 19, 1, 1], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 23.976206776597902, 35.96431016489685, 11.988103388298951, 227.77396437768007, 11.988103388298951, 11.988103388298951], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 23.976206776597902, 35.96431016489685, 11.988103388298951, 227.77396437768007, 11.988103388298951, 11.988103388298951], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534  …  79.20833333333334, 79.20833333333334, 79.20833333333334, 79.20833333333334, 158.41666666666669, 237.625, 79.20833333333334, 1504.9583333333335, 79.20833333333334, 79.20833333333334], [7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355  …  4.057486672347064, 4.057486672347064, 4.057486672347064, 4.057486672347064, 8.114973344694128, 12.172460017041193, 4.057486672347064, 77.09224677459423, 4.057486672347064, 4.057486672347064], [94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608  …  24.993752380711378, 24.993752380711378, 24.993752380711378, 24.993752380711378, 49.987504761422755, 74.98125714213411, 24.993752380711378, 474.88129523351614, 24.993752380711378, 24.993752380711378], [0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726  …  0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956], [12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005, 12.384292053067005  …  13.530111496595199, 13.530111496595199, 13.530111496595199, 13.530111496595199, 27.060222993190397, 40.59033448978559, 13.530111496595199, 257.0721184353088, 13.530111496595199, 13.530111496595199], [1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364, 1.2548454674764364  …  3.5771064837982873, 3.5771064837982873, 3.5771064837982873, 3.5771064837982873, 7.154212967596575, 10.731319451394864, 3.5771064837982873, 67.96502319216748, 3.5771064837982873, 3.5771064837982873], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844  …  2.631055234104207, 2.631055234104207, 2.631055234104207, 2.631055234104207, 4.671824563850785, 6.712593893597363, 2.631055234104207, 39.36490316954261, 2.631055234104207, 2.631055234104207], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577  …  23.948487711601803, 23.948487711601803, 23.948487711601803, 23.948487711601803, 42.52405335619368, 61.09961900078557, 23.948487711601803, 358.3086693142557, 23.948487711601803, 23.948487711601803], [6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781  …  12.98756660038165, 12.98756660038165, 12.98756660038165, 12.98756660038165, 23.06132987320929, 33.13509314603694, 12.98756660038165, 194.3153055112792, 12.98756660038165, 12.98756660038165]), Bank{Float64}(89460.0, 6476.29252774436, 0.0, 126431.00000000003, 0.028359903595743693, 3695.3696336675225, 0.0, 0.0, 0.0, 0.0, 33636.12938055408, 18241.296726948152), CentralBank{Float64}(0.0016459319014481277, 0.0089810924595537, 0.9259668580654086, -0.003424572940686137, 0.0049629315732038215, 0.30996974466133875, 1.328593153520194, 106179.90000000002), Government{Float64}(0.9905949533296431, 0.09373211872949586, 0.011235005057648862, 0.0, 14732.121510837034, 232610.9, 2.238468336136841, 0.5902859043576301, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0, 0.0), RestOfTheWorld{Float64}(0.962809216044625, 0.39260026877953946, 0.020320381298662014, 0.9662360466537488, 0.35492769963078624, 0.02122821278168188, 2.3548476e6, 0.0, 0.0019383188997990075, 0.38456173629534834, 0.0026219533879005877, 0.0025327891562467505, 0.9635784504324201, 0.5360029623199525, 0.006618207536795881, 0.0, 33097.63671130043, 34095.03119997918, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0), Aggregates{Float64, Int64}([104531.39273728609, 105062.38754395355, 105399.12953350678, 106689.88106040593, 107938.33111423723, 108890.48532381697, 110110.17779727321, 110374.00540561741, 110808.89423399912, 111932.48072916963  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-0.007497362866886709, -0.007895434153021436, -0.0019938777296781562, -0.0035311300388783107, 0.001212170001002849, -0.001672412335241874, 0.001839696090252002, 0.004290005139261838, 0.00600429551344886, 0.0036060572293247772  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 1.0, [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1), MutableNamedTuple(tau_VAT = 0.1528683933530887, tau_EXPORT = 0.0029486201783457183, tau_SIW = 0.17114894621657745, psi_H = 0.07125099957246343, tau_FIRM = 0.07701197259426128, H_inact = 4130, theta_DIV = 0.7858074440019603, I_s = [48, 2, 1, 1, 5, 2, 4, 1, 1, 1  …  14, 10, 13, 41, 20, 16, 7, 7, 2, 19], psi = 0.9096681249468772, tau_INC = 0.21340742230566648, zeta_b = 0.5, tau_CF = 0.08761417854834112, H_act = 4743, zeta = 0.03, mu = 0.026713971694295565, tau_G = 0.009147800682711324, theta_UB = 0.3585824478060919, T_prime = 54, tau_SIF = 0.21215146534992413, T = 16, zeta_LTV = 0.6, I = 624, products = MutableNamedTuple(a_sg = [0.37790282216028437 0.0 … 0.0 0.0; 0.0006712800413285777 0.8149348034258406 … 2.4029219530949635e-5 0.00019143106686926454; … ; 0.00037430822580994426 0.000357977071568566 … 0.3197327950788158 0.0011366219595362582; 0.0 5.36965607352849e-5 … 0.0 0.05594572929254256], b_CF_g = [0.0033476048872100555, 0.0, 0.0, 0.0008050086095806136, 0.0, 0.003306696048303853, 0.0030629933432974495, 0.0, 0.0, 0.0  …  0.0017883064872300512, 0.0, 0.0, 0.0, 0.0, 0.002291709084994238, 0.0, 0.0, 0.0, 0.0], b_CFH_g = [0.0006092803753845975, 0.0, 0.0, 0.004372477702289994, 0.0, 0.0, 0.06710603871527036, 0.0, 0.0, 0.0  …  0.0041711096896454745, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], c_E_g = [0.005090338238241512, 0.0005933402816643566, 1.793599921320476e-5, 0.007268146142708006, 0.05434404438533037, 0.02138421321578873, 0.023894091259534518, 0.028037089231640524, 0.005923381894006229, 0.011927802553688313  …  0.0014618202435669027, 0.0009447261124040238, 0.0001280209174610526, 0.0010477673386531637, 0.0, 0.0013030104043795392, 5.5260305268213854e-5, 0.0, 1.307076865739618e-5, 8.641230390167474e-6], b_HH_g = [0.011287997598927976, 0.0020040637862256817, 0.0003326837475323491, 0.00034402684015257527, 0.06305103828047173, 0.03068200872784047, 0.0003505790613555631, 0.0020473225369636873, 0.0, 0.0191077565617325  …  0.005591228759882936, 0.0004356874830029748, 0.014434120586233577, 0.03514505772295519, 0.024907176866291014, 0.013342154173060372, 0.009686226103767459, 0.011051272187723254, 0.0021206651420422927, 0.01721782824162338], c_G_g = [0.0, 0.0, 0.0, 0.0, 8.57086390274792e-6, 0.0, 0.0, 0.0, 2.4536198623552867e-5, 0.0  …  0.008555738848801895, 0.3324338967920097, 0.22067672180252998, 0.2370889178393625, 0.0477595425645907, 0.012942508661614227, 0.004667927760053456, 0.021757222045203074, 0.0, 0.002000708524749294], c_I_g = [0.016810689305736877, 0.004087420487057966, 0.00036885674795364003, 0.05818437780960789, 0.04895082866561155, 0.04689140072807505, 0.010101572733480902, 0.016066325760592727, 0.00037371898454196314, 0.041008926225895866  …  0.0018123421762754539, 0.000401097116716159, 0.0003479865324437806, 0.0006664256271585853, 0.0028556289501379516, 0.001307065586721844, 6.418152296577174e-5, 0.0, 3.538212163497461e-5, 0.00020458795490837936]), J = 156, G = 62, H = 8873, L = 312, theta = 0.05, C = [4.3800671000101816e-5 0.00010629745355671226 9.959785873214212e-5; 0.00010629745355671226 0.0004129178961230129 0.0003596689472264872; 9.959785873214212e-5 0.0003596689472264872 0.0004506370179043619]))

Note that the it is very simple to inspect the model by typing

fieldnames(typeof(model))
(:w_act, :w_inact, :firms, :bank, :cb, :gov, :rotw, :agg, :prop)

and to inspect the specific attributes of one agent type by typing

fieldnames(typeof(model.bank))
(:E_k, :Pi_k, :Pi_e_k, :D_k, :r, :Y_h, :C_d_h, :I_d_h, :C_h, :I_h, :K_h, :D_h)

We can now define a data tracker, which will store the time series of the model.

data = Bit.init_data(model);

We can run now the model for a number of epochs and progressively update the data tracker.

for t in 1:T
+    Bit.run_one_epoch!(model; multi_threading = true)
+    Bit.update_data!(data, model)
+end

Note that we can equivalently run the model for a number of epochs in the single command data = BeforeIT.run_one_sim!(model), but writing the loop explicitely is more instructive.

We can then plot any time series stored in the data tracker, for example

plot(data.real_gdp, title = "gdp", titlefont = 10)
Example block output

Or we can plot multiple time series at once using the function plot_data

ps = Bit.plot_data(data, quantities = [:real_gdp, :real_household_consumption, :real_government_consumption, :real_capitalformation, :real_exports, :real_imports, :wages, :euribor, :gdp_deflator])
+plot(ps..., layout = (3, 3))
Example block output

To run multiple monte-carlo repetitions in parallel we can use

model = Bit.init_model(parameters, initial_conditions, T)
+data_vector = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999999, 73451.13785830782, 73964.27232437328, 74083.4998972628, 74390.2205417246, 74795.08122004905, 74468.57031599582, 74515.51084647198, 75352.20825660408, 75294.76326375589, 75219.00316441323, 76305.79204487459, 76538.3745096093, 76979.34609898577, 76293.4471716974, 76846.6790354802, 77356.23537200555], [72421.99999999999, 72742.3525818122, 73079.6749186094, 73001.18947704494, 73219.99772603423, 73533.92120227829, 73496.71536794957, 73222.66777454577, 73850.1241638392, 73970.22316542936, 74013.59246773038, 74549.36050042644, 74188.69474707247, 74442.93343798055, 74031.27442557692, 74099.76934393162, 74588.18348245553], [64900.92049553802, 65830.3449535425, 66289.95896763401, 66387.8049707937, 66666.62769735175, 67029.45492010428, 66734.56478986233, 66762.46754076991, 67533.13623363514, 67478.39655863502, 67405.33352310037, 68391.64630109527, 68590.40333845242, 68991.88889423055, 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32594.659224574443, 33193.910602854754, 33582.44935478558, 35051.25438789435, 35576.085839182495, 36972.401891174966, 37055.0949390539, 38441.26635585098, 37976.79377407041, 37281.37214385603, 37274.464558584, 38015.12826169604], [33097.63671130043, 32311.10622421974, 31041.66272555638, 30802.540554474683, 32037.713696593724, 31950.36228252368, 32369.558049773663, 32502.000781146387, 33683.51648655884, 33955.98782950796, 35117.36631503355, 34932.447614879355, 35805.69554466084, 34788.71472484539, 33930.20669428378, 33678.25358857591, 34325.31389914116], [29576.147776884885, 29434.47012735933, 29658.663650579994, 29827.847362595723, 30078.566777117794, 30481.112590239238, 30357.562925410417, 30434.897226932768, 30542.237435808096, 30538.529588964517, 30877.80659545812, 31130.113002730544, 31560.46132932224, 32182.999380145127, 32330.53309639992, 32764.09451194754, 32720.16412383468], [34346.71094688275, 34182.18102525145, 34433.95504171291, 34524.4257551363, 34796.610178774594, 35305.18707153199, 35113.56902949967, 35285.903897855096, 35338.09390307696, 35401.72051168073, 35800.85425953083, 36098.7492052953, 36485.273021060646, 37283.51686752909, 37476.29949273726, 38034.20483348411, 38081.311252763866], [28335.32931213966, 28199.595514561977, 28407.303893967164, 28481.940369696113, 28706.48691475987, 29126.0523793865, 28967.971440238347, 29110.144158154984, 29153.199837840024, 29205.690479828736, 29534.967603405763, 29780.724799828797, 30099.59898908184, 30758.133726106647, 30917.17542239541, 31377.43584091151, 31416.297666868344], [978.0617717704338, 973.3765945810128, 978.242452058016, 976.4010552685254, 980.8331357928149, 1000.6924588297218, 996.2783441220249, 1004.2801106969645, 995.7597860490852, 1010.5182877075525, 1025.2108589100492, 1039.6263789603172, 1048.0096595316218, 1075.8272384367667, 1078.1560184585371, 1085.086837425894, 1094.654066163292], [0.0019383188997990075, 0.0032558129635260613, 0.004794537938527466, 0.003878766261409039, 0.0061007016942851156, 0.005588722305626792, 0.0025648741365935646, 0.0008034597255484055, 0.0014133811975705068, 0.005519949559383175, 0.0024702173209099065, 0.005922378229812564, 0.00482278633604305, 0.0013877696260762296, 0.0031739888666437732, 0.0018464193874236923, 0.0036689606593451884], [2.3548476e6, 2.3461018846123586e6, 2.311016565440012e6, 2.30875105792207e6, 2.330526838869152e6, 2.313591842176346e6, 2.3138559119200995e6, 2.32587085437169e6, 2.358184662406439e6, 2.392672466190641e6, 2.4044128677953607e6, 2.388918110278045e6, 2.3921584567353316e6, 2.3683371114529497e6, 2.349838225924038e6, 2.3332557989373174e6, 2.3528191781228012e6], [0.0016459319014481277, 0.0012334920125590572, 0.0, 0.0, 0.0010677146320770057, 0.00040217672516011476, 0.00044248778534683664, 0.0009389112001757414, 0.002268369897933461, 0.0036655942662456543, 0.003933539413666962, 0.0031443732149428116, 0.003155674993032977, 0.00197441939147309, 0.001132802472561238, 0.0003971992106878414, 0.0012766957948460865], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 515.6016809534068 257.00621213878685 … 136.3409750396683 502.4860014410616; … ; 573.149765099064 286.5675951839376 … 151.93410513684782 558.4019670366544; 559.718223961981 288.0853006453989 … 152.02037704817522 559.6324777932714], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 515.7218856611984 257.0661292371435 … 136.37276086905933 502.603148427201; … ; 517.8527273785813 258.9197794029869 … 137.27562239049632 504.5277852526306; 505.3910011905251 260.12324110308265 … 137.26501526767711 505.31357769384925])])

Note that this will use the number of threads specified when activating the Julia environment. To discover the number of threads available, you can use the command

Threads.nthreads()
2

To activate Julia with a specific number of threads, say 8, you can use the command julia -t 8 in the terminal.

We can then plot the results of the monte-carlo repetitions using the function plot_data_vector

ps = Bit.plot_data_vector(data_vector)
+plot(ps..., layout = (3, 3))
Example block output
diff --git a/dev/examples/change_expectations-205aa27a.svg b/dev/examples/change_expectations-205aa27a.svg new file mode 100644 index 0000000..dafbfbf --- /dev/null +++ b/dev/examples/change_expectations-205aa27a.svg @@ -0,0 +1,82 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/change_expectations-de261897.svg b/dev/examples/change_expectations-de261897.svg new file mode 100644 index 0000000..59f7ab3 --- /dev/null +++ b/dev/examples/change_expectations-de261897.svg @@ -0,0 +1,284 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/change_expectations.html b/dev/examples/change_expectations.html new file mode 100644 index 0000000..ad2afd3 --- /dev/null +++ b/dev/examples/change_expectations.html @@ -0,0 +1,57 @@ + +Experimentations (advanced) · BeforeIT.jl

Changing expectations via function overloading

In this tutorial we will illustrate how to experiment with different expectations of the agents in the model.

import BeforeIT as Bit
+using Random, Plots

Import standard parameters and initial conditions

par = Bit.AUSTRIA2010Q1.parameters
+init = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Set the seed, initialise the model and run one simulation

Random.seed!(1234)
+T = 40
+model = Bit.init_model(par, init, T)
+data = Bit.run_one_sim!(model)
BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999997, 72321.49357146623, 72939.5153644963, 73962.58571988865, 74097.28050895817, 74966.11499467235, 75621.88311225767, 76486.6655262319, 77132.65913232809, 78537.17167545545  …  92843.8319003715, 93190.98378950437, 92590.1362598781, 93459.04026122102, 94541.01187464365, 95059.57078482675, 94472.16641289036, 94487.9640513894, 95214.67957815698, 96256.66273518592], [72421.99999999997, 72379.06113178324, 72774.3361064739, 73550.08881669497, 73507.38388050068, 73972.47922368234, 74094.78253498324, 74722.3604646488, 75718.0401148647, 76721.84043323644  …  83294.04949220557, 82954.86801704326, 82296.86773712788, 82465.62646156736, 83070.27213900148, 83465.09387035854, 83169.18384366858, 82771.46612740691, 82473.409687215, 83046.31460350617], [64900.920495538034, 64822.27522027363, 65405.19251975263, 66320.5629328053, 66450.63661991055, 67283.43925593204, 67909.99928834863, 68711.26373282148, 69288.79246661696, 70568.91874397847  …  83452.42931491986, 83755.95007565369, 83205.52547704343, 84006.35030670131, 84973.52463048926, 85412.72920344184, 84863.28634131656, 84839.27193105238, 85466.13434073918, 86408.83023323487], [64900.920495538034, 64873.873438926865, 65257.07553381933, 65950.68637208782, 65921.61576743542, 66391.63324404682, 66538.63170468244, 67126.31255790053, 68018.03057894247, 68937.76803925307  …  74868.63300796083, 74556.18024015783, 73955.5464737954, 74124.83891797988, 74663.61609313477, 74994.88375374301, 74709.94401093575, 74319.21084780435, 74029.37806538986, 74550.00720118533], [40512.94792630534, 40372.19526798674, 40514.367639670425, 41111.26104080402, 41127.04764245329, 41240.659458047376, 41359.95644805904, 41662.98851165175, 42092.74367258232, 42775.01498032095  …  50330.263359729426, 50588.501646610806, 50330.55739106858, 50637.952171325975, 51270.23905395274, 51789.82266862961, 51613.1461085754, 51835.48961405289, 52371.60906296847, 52886.81667897088], [40512.94792630534, 40404.331340839315, 40422.61856302073, 40881.97933437552, 40799.63067686357, 40694.03656769685, 40524.73771548507, 40701.955356315964, 41320.759452586906, 41786.300726629146  …  45153.36518789533, 45031.85079313667, 44735.296782834055, 44681.50364980781, 45049.57823479581, 45472.984728186515, 45437.96760935213, 45407.894178497176, 45363.43754308799, 45628.5839493819], [14866.888022051655, 14851.49808083446, 15006.065974005784, 15080.01872589489, 15193.966973445758, 15256.52812118052, 15406.534290196816, 15507.117431740662, 15449.67263628867, 15381.282146156325  …  18670.016422830548, 18676.0969644062, 18665.144169750347, 19100.901607845335, 19126.76122414227, 19109.50847593551, 19140.435123112842, 19277.284297884304, 19744.838234875737, 19655.942539439413], [14866.888022051655, 14863.319801727455, 14972.083148221494, 14995.91591953691, 15073.006125369204, 15054.310998372443, 15095.41631164248, 15149.417359614992, 15166.32442852908, 15025.754675155875  …  16749.64550808587, 16624.710843864978, 16590.1354407877, 16854.09793069863, 16806.09534975097, 16778.709451262912, 16850.406083042628, 16886.90300727527, 17102.658331334318, 16958.343885758146], [15944.236265986641, 15917.076175530057, 16031.046912897496, 16377.672002117872, 16187.684808526985, 16486.783569469553, 16546.2636514225, 16836.647070014806, 17018.267258532094, 17732.083006388144  …  21483.279995801764, 21453.230638828092, 20721.37232985262, 21170.12610017868, 21815.93192221495, 22197.081670773394, 21650.606057412002, 20853.347607933356, 20685.02785054476, 21930.358445139125], [15944.236265986641, 15929.746091450681, 15994.74290921496, 16286.332050754054, 16058.812863085917, 16268.260068493653, 16212.130094654098, 16448.278961124925, 16706.150902386627, 17322.218434181028  …  19273.540854554725, 19096.80361571209, 18417.772203890978, 18679.923378648287, 19168.986726599465, 19489.689360083215, 19060.25132996262, 18267.534627313395, 17917.0353129119, 18920.616973945253], [15944.236265986641, 15917.076175530063, 16024.796769328006, 16256.06086278949, 16296.974425138349, 16455.60560059657, 16596.797241714634, 16765.371504732124, 16907.1587519136, 17257.955624511455  …  21105.005010237084, 20518.551042893225, 20421.894835241095, 21519.618335041538, 21690.399656854315, 21745.867300740836, 20835.69982101401, 20853.314978112765, 21011.128071253766, 22205.718528911268], [15944.236265986641, 15929.746091450685, 15988.506919757576, 16165.39914918438, 16167.232412996835, 16237.495346927686, 16261.643214789565, 16378.647497330132, 16597.080134492982, 16859.05017179834  …  18934.17468747215, 18264.78940826327, 18151.58769698934, 18988.305489259124, 19058.68539557965, 19093.50989662162, 18342.843344481204, 18267.506043587233, 18199.498030013718, 19158.186400272658], [3173.2320350842083, 3161.547520867122, 3157.0983266336884, 3200.8209998273524, 3210.630625942368, 3204.867391222516, 3210.0161651050526, 3214.6566140345203, 3227.8431506869993, 3313.6248194748996  …  3936.9664100277046, 4001.2892228696282, 3985.8467169821547, 4027.1273685011324, 4076.937133251284, 4071.832503319797, 4085.8854248793364, 4102.6574627786, 4137.627771652147, 4167.2351518418955], [3173.2320350842083, 3164.064097456108, 3149.948743085029, 3182.969693829119, 3185.0704411628903, 3162.3885875466804, 3145.193426804347, 3140.5046700796934, 3168.644254166176, 3237.032722618613  …  3532.0157332356516, 3561.786836920921, 3542.7391441272443, 3553.423835251681, 3582.27895425793, 3575.188477162898, 3597.0357087057173, 3593.928355023528, 3583.9460034579624, 3595.3201743420414], [34195.564496956766, 34159.01740189823, 34014.75456460803, 34823.21353948705, 34895.43718950549, 34670.27270208732, 34480.88414425994, 34624.591718149386, 35014.68560000502, 34606.83704556837  …  37176.99355266154, 37105.63053158947, 36036.51838477611, 35860.83459395811, 36195.090118384025, 36028.92409265714, 36645.055446997234, 37556.17664157078, 37863.7562753993, 38256.76226244631], [34195.564496956766, 34186.20781511489, 33937.72455018143, 34629.00091692283, 34617.6307625321, 34210.73677509919, 33784.58069458958, 33825.91207898237, 34372.513520143395, 33806.924454587774  …  33353.02170929037, 33029.94086198122, 32030.329655142887, 31642.591042660973, 31803.509679128645, 31634.453076256133, 32260.71200815496, 32899.214561042056, 32796.97098633359, 33006.37092830872], [33097.63671130043, 32978.29335478363, 32626.719726685307, 33429.57958841529, 33306.85610497304, 32688.12885611254, 32171.755421680577, 32144.67920532442, 32442.710035079806, 31958.045502978097  …  34816.7214306521, 34632.475991930216, 33163.45601557015, 33310.77421208765, 33867.01044405048, 34065.76612316909, 34577.07632320748, 35034.3341100518, 35450.55184563082, 36473.21719080997], [33097.63671130043, 33004.543917349474, 32552.83306416462, 33243.13940489449, 33041.69654734978, 32254.865185980023, 31522.082281387968, 31403.20329138921, 31847.708188781005, 31219.357857317147  …  31235.523767621067, 30828.43809765163, 29476.666345528352, 29392.489540248822, 29757.8978512735, 29910.742745430434, 30440.15318684404, 30690.080246720816, 30706.692486452415, 31467.601133888034], [29576.147776884864, 29540.30815757877, 29793.023211372885, 30221.719047433853, 30302.093637263206, 30672.29442645085, 30985.37634985721, 31330.906666834246, 31624.54356011735, 32234.051578586317  …  38028.15723381824, 38190.13341222716, 37964.13733557745, 38319.16126082298, 38715.36585999489, 38933.93296060209, 38712.926357006916, 38699.5794735714, 38972.050103075635, 39352.345180038385], [34346.71094688274, 34305.090481160245, 34626.68140468615, 35102.85572859825, 35151.9158814585, 35602.584835051115, 35913.541443475355, 36361.123950002984, 36639.56640947833, 37292.12291982345  …  44180.18635915802, 44318.331501139044, 44007.15208787922, 44439.30308260304, 44992.85488751371, 45203.29642692993, 44885.445102000696, 44879.53549032289, 45224.04039158543, 45771.873857511506], [28335.329312139656, 28300.993284908534, 28566.299175070595, 28959.133187587868, 28999.606803520088, 29371.399410694394, 29627.932209864408, 29997.178561761877, 30226.887857534544, 30765.2335420458  …  36447.74405020752, 36561.7109478519, 36304.99433928022, 36661.51001168347, 37118.1788527766, 37291.78878967954, 37029.567991359196, 37024.6926834074, 37308.90213338987, 37760.85346256466], [978.0617717704339, 976.8765815346229, 985.4879036936139, 995.9881567731888, 996.6271011888025, 1008.5599944301928, 1011.0814950160697, 1019.233115984231, 1024.682497021224, 1042.744245568732  …  1244.0857219436398, 1247.4851622874362, 1234.2360535867895, 1247.8859632752399, 1265.303882980632, 1275.4998159098313, 1264.9148823088965, 1260.1569671580805, 1270.0438460780917, 1284.6111956850255], [0.0019383188997990075, -0.003952295097048086, 0.00043121555853309346, 0.006256067040482538, 0.00632983693062017, 0.0061267503866178075, 0.006226730126539071, 0.007781104748443957, 0.007250422190755446, 0.005772533711265515  …  0.002921076419133861, 0.001301248358178686, 0.007114594551428599, 0.002698235363678414, 0.006125895665054948, 0.004582409406319821, 0.003548467284302692, 0.009408303467589363, 0.005313439829667699, 0.002561799916292351], [2.3548476e6, 2.3588626485893e6, 2.3553371402178714e6, 2.3432018390445355e6, 2.346870717237858e6, 2.334370945877865e6, 2.323148381711212e6, 2.3263953554424085e6, 2.3149211088462686e6, 2.2990184059278253e6  …  2.364992053356945e6, 2.3491910698544066e6, 2.322100359571532e6, 2.335686258811865e6, 2.3338108755838843e6, 2.320080094864146e6, 2.331080316149987e6, 2.3447280090234405e6, 2.354336312917205e6, 2.3621266494370117e6], [0.0016459319014481277, 0.0016010860580926674, 0.0013454414221782392, 0.000882623037192628, 0.001116544463863402, 0.0006506009200479771, 0.00027245756745887436, 0.0005683215599217866, 0.0002074990646606677, 0.0  …  0.0030529516170180555, 0.0021996308324380657, 0.00106577129490818, 0.001624261945893235, 0.0015656142516685156, 0.0009761718174434832, 0.001451688096223678, 0.0021359814855953325, 0.0025028436155913082, 0.0027018047220479183], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 517.4556387808753 257.93033379374606 … 136.83121862733822 504.29279899424546; … ; 701.9729437980611 350.10250290902496 … 179.78639375822763 662.0366336947989; 707.7471299158308 352.9823247453998 … 181.15402702355033 668.8514250556568], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 517.8675309753778 258.13564509630606 … 136.94013561788393 504.69421363171887; … ; 608.0375677331926 303.2531042782543 … 155.72805552990417 573.4453842680539; 610.615298105838 304.5387234224978 … 156.29229076098562 577.0576736177572])

Now we can experiment with changing expectations of the agents in the model. We will change the function estimate_next_value to make the agents expect the last value of the time series (so to represent backward looking expectations)

import BeforeIT: estimate_next_value
+function estimate_next_value(data)
+    return data[end]
+end
estimate_next_value (generic function with 2 methods)

Run the model again, with the same seed

Random.seed!(1234)
+model = Bit.init_model(par, init, T)
+data_back = Bit.run_one_sim!(model)
BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999997, 72490.2322963416, 72587.23001804914, 72505.10129687462, 72703.30549091243, 73132.93795654722, 73375.41563241303, 73267.51204626384, 73207.36995089537, 73499.53729921684  …  79393.9862506089, 79768.39970424859, 80188.54451956502, 80511.38690713247, 80812.25199892446, 80945.95383720999, 81339.56533991925, 81958.64122943203, 82264.15259624796, 82783.02055420596], [72421.99999999997, 72417.20192814225, 72441.04751369418, 72286.18594762367, 72410.7678222182, 72765.29016381004, 72932.99834423827, 72752.37698185901, 72619.42343638456, 72835.79181404722  …  76951.54186110893, 77236.54649232139, 77565.13400053924, 77798.95673809857, 78011.01413520466, 78061.35908070715, 78361.91840143652, 78878.78474123425, 79093.05280282177, 79511.73458584001], [64900.920495538034, 64966.370940930356, 65050.9422449612, 64967.955712702955, 65154.18031071537, 65554.97607960913, 65761.88039050321, 65648.59133158572, 65594.95039151702, 65844.43001993821  …  71170.93131307513, 71523.89783263279, 71902.03314705698, 72184.16135826243, 72453.34331306168, 72583.20925248862, 72963.47714261753, 73535.29142082007, 73820.45902188777, 74302.8395838177], [64900.920495538034, 64900.92049553802, 64919.9369752236, 64771.79733955991, 64892.018200133425, 65225.4235834011, 65365.36893585753, 65187.02398230369, 65068.141103352864, 65249.814805268434  …  68981.45765026637, 69253.72554475299, 69549.7202172306, 69752.2755776783, 69941.85472536166, 69996.6297522835, 70292.45875904441, 70771.96907925108, 70974.84480272894, 71366.65973784155], [40512.94792630534, 40529.30927216214, 40594.18064386479, 40611.48879899371, 40621.51503252601, 40694.63647153857, 40916.3264592606, 40999.072249545665, 40923.53272694446, 41124.71459732294  …  43708.68385338441, 43793.80949678354, 44034.421577399444, 44277.895489776354, 44462.62521992848, 44455.83358571363, 44531.34634514879, 44752.995567425176, 44825.80423338178, 44983.57271961373], [40512.94792630534, 40488.47797275464, 40512.42853695454, 40488.870140512976, 40458.06547234161, 40490.05979660878, 40669.62134640827, 40710.81270402602, 40594.86570278529, 40753.333434313136  …  42364.04763228379, 42403.79167458754, 42593.81225523892, 42786.17234151741, 42921.39370854697, 42871.60289377306, 42901.16026587707, 43071.25949058154, 43097.86935459811, 43205.98440187071], [14866.888022051655, 14892.350544956298, 14829.704995510676, 15017.366693106787, 15110.071033252632, 15394.38203437527, 15222.967754499565, 15301.655337827731, 15631.046584821495, 15704.474027443799  …  18371.20786350145, 18342.30696263774, 18399.164316922634, 18439.156549421354, 18432.401482046185, 18383.918013383365, 18424.475822221917, 18481.188995042758, 18536.44030796568, 18537.81498428104], [14866.888022051655, 14877.347229210163, 14799.839640205772, 14972.024613506199, 15049.272353962542, 15316.992683781267, 15131.180824860108, 15194.071239667335, 15505.509779389648, 15562.653083860916  …  17806.04347645437, 17760.121172654584, 17797.225954036843, 17817.94101162568, 17793.469393487634, 17728.78763327773, 17749.99983017646, 17786.699567422154, 17821.901834325246, 17805.267492823747], [15944.236265986641, 16068.56077295712, 16259.692493987639, 15810.498066824244, 15819.347462786392, 16169.331346655112, 16646.934600045013, 16406.221061254877, 16050.413839677123, 15792.766392949809  …  16882.082594714044, 17306.781632316623, 17479.387031594124, 16939.059824444354, 18002.876352622174, 17161.32966410289, 17630.37664749285, 17745.515905480923, 17801.032943911792, 17888.768377634595], [15944.236265986641, 16052.372482859135, 16226.947304947904, 15762.761278043565, 15755.694854479521, 16088.046235654037, 16546.56185804828, 16290.870894352878, 15921.508991984525, 15650.148115653905  …  16362.729053422101, 16757.463470909774, 16907.53966761533, 16368.382574083593, 17378.833120965897, 16549.767514088027, 16984.970726901574, 17078.671732882747, 17114.842785626668, 17181.86886378097], [15944.236265986641, 15957.287851570194, 15978.16005644515, 15972.32185453842, 16003.147435960009, 16044.55589080617, 16100.195819946466, 16105.072021346155, 16092.77074642463, 16133.558637222019  …  17196.41907065144, 17290.333600989597, 17387.387696252754, 17449.089575860224, 17532.73895190181, 17589.864066073817, 17630.186106408484, 17786.39819324528, 17847.061709871054, 17941.10023043511], [15944.236265986641, 15941.211663505299, 15945.981842020192, 15924.096469640075, 15938.755268216391, 15963.898040547141, 16003.119641060775, 15991.839197120826, 15963.525719926205, 15987.862798871605  …  16667.395409513825, 16741.537500964194, 16818.550139042793, 16861.22941339237, 16924.992341803194, 16963.03063898694, 16984.78716107057, 17118.01773872082, 17159.09724521288, 17232.132750776193], [3173.2320350842083, 3173.404482611808, 3177.962049131049, 3181.534168001348, 3186.6057676680452, 3162.971379750547, 3185.3728024464895, 3211.389913903726, 3211.1469263922454, 3216.2162889554656  …  3377.2735212016582, 3368.596300360713, 3397.0018828670604, 3406.891342146883, 3429.343494617805, 3465.715140501009, 3424.0393139228077, 3462.8091404888087, 3468.4878441672513, 3469.8114573038447], [3173.2320350842083, 3170.2074326028737, 3171.561991559338, 3171.928131307597, 3173.7837616254483, 3147.070754413346, 3166.166587600034, 3188.8110176927657, 3185.357410333671, 3187.1719014726855  …  3273.3764484733933, 3261.6768761980616, 3285.8671749601226, 3292.1131074889836, 3310.4703459651428, 3342.210712572133, 3298.6934242842362, 3332.6830788710963, 3334.7853657606142, 3332.697041120869], [34195.564496956766, 33751.81903625656, 33718.553397428805, 34096.19557014068, 34589.666211061405, 35554.50807082578, 35880.833795629995, 35410.372610104765, 34654.83786299708, 34891.579113936896  …  42257.88459506106, 43556.76698593244, 44048.559139250974, 44026.93601613963, 43883.53321037021, 44136.83844396937, 43568.332419321545, 44273.53450783099, 45575.25299277101, 47367.27374439971], [34195.564496956766, 33717.815727210174, 33650.648029258184, 33993.24859912957, 34450.48711533846, 35375.77141974447, 35664.49020086474, 35161.40653952781, 34376.516279444004, 34576.48695202252  …  40957.88017387531, 42174.2729055275, 42607.48729929946, 42543.66769736069, 42362.37507182052, 42563.97548160149, 41973.399976530134, 42609.815704493594, 43818.4285341269, 45495.49017184529], [33097.63671130043, 32751.80732999047, 32814.9015127426, 33030.447832190555, 33437.2942487138, 34679.919966847476, 35291.64697702214, 34849.80921246918, 34052.46106354455, 34013.99683243648  …  41825.87265605161, 43231.26537342162, 43772.987545602155, 43171.660972649384, 43969.18426604281, 43191.965869959386, 42814.96589426572, 43294.5937463478, 44474.37788178248, 45994.40927172321], [33097.63671130043, 32718.81148389185, 32748.815997672005, 32930.718683568426, 33302.751973903694, 34505.57997197834, 35078.855885943136, 34604.78439571511, 33778.97731721877, 33706.829771803226  …  40539.15847492638, 41859.10273135791, 42340.93117565141, 41717.20688648901, 42445.05715961654, 41652.77444203328, 41247.612398048615, 41667.661754145745, 42759.989705855325, 44176.8763444807], [29576.147776884864, 29605.9743499166, 29630.51605850301, 29621.52028834414, 29670.19872436757, 29797.47587722702, 29885.84169878953, 29870.63568451899, 29828.57668197106, 29866.62482710162  …  31932.347505563954, 32140.175933659102, 32317.655280550214, 32447.012715307334, 32581.823888881678, 32648.00365238824, 32832.43569396297, 33114.18488840261, 33243.15116119836, 33477.211522247584], [34346.71094688274, 34381.34847608993, 34440.15896747447, 34369.108037778635, 34502.34968088469, 34766.618072024066, 34874.68502974604, 34777.333827706345, 34764.21981125122, 34969.448029893974  …  38084.0275202315, 38235.60682025879, 38430.48130592309, 38578.90876531549, 38709.18542987379, 38769.408887287325, 38960.890410799075, 39253.60262673311, 39407.10950365351, 39646.45755229588], [28335.329312139656, 28363.90456052843, 28412.422004977958, 28353.806450959455, 28463.72806299792, 28681.74404424585, 28770.897059204075, 28690.584322039995, 28679.765528489857, 28849.074583100046  …  31418.538531599595, 31543.58833301491, 31704.355771107344, 31826.80536889713, 31934.280934684357, 31983.96404701401, 32141.93236119369, 32383.41391222208, 32510.05392488426, 32707.51113669671], [978.0617717704339, 979.0481149238877, 980.2672189836588, 977.3273865802095, 981.6319054630933, 990.882130357941, 1001.3536619676468, 1000.6218193604554, 1002.1538982948351, 1008.3571629426834  …  1154.5562872797707, 1148.115078714858, 1153.896560583714, 1158.2398776396194, 1162.3339943062258, 1165.7967128130404, 1170.1510378554588, 1167.503905684306, 1170.1983570358918, 1179.1705092741427], [0.0019383188997990075, 0.004220038374121549, 0.0019199908213991534, -0.0007474170360397547, -0.0010481511336649652, 0.0016830070483127013, 0.0054441848547275296, 0.006613535556129424, 0.005828394414379989, 0.0014432461329660917  …  -0.004019207078191589, 0.00383838573503259, 0.008278433273877672, 0.0033136855806901178, 0.008655460345740273, 0.002139581764054821, 0.005604299983171135, 0.006587137028002177, 0.005457577503050537, 0.006207256876176848], [2.3548476e6, 2.352396197078055e6, 2.347912556596515e6, 2.371263955485633e6, 2.3706833348181024e6, 2.375510682728357e6, 2.3940300436198367e6, 2.403269573782989e6, 2.3955011040550005e6, 2.402484091914563e6  …  2.4409002553381943e6, 2.45056745380684e6, 2.459540835761115e6, 2.471228035481667e6, 2.474584140514336e6, 2.475373467875146e6, 2.4713209824194047e6, 2.4703032902082065e6, 2.492990881581279e6, 2.5109120656649987e6], [0.0016459319014481277, 0.0015185270190031042, 0.0012626928046478307, 0.0021303084027282575, 0.0019244578504459316, 0.002020893115019896, 0.002763022382275168, 0.0030898455260937982, 0.0026769003470356926, 0.002798564041978256  …  0.003209511197432074, 0.0034495394152826765, 0.003744303065943746, 0.0040105279528508, 0.004045821605016225, 0.0038267701485827908, 0.003511042915685888, 0.0033617665162184803, 0.004141475587654299, 0.004684386395842744], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 518.6059091613043 258.50369622511613 … 137.13538556670355 505.41380923410765; … ; 523.8630084431564 276.34826803803344 … 153.70388180712726 565.5072334601856; 522.7529148261692 277.88492798213116 … 154.354211279906 567.6853642693837], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 518.0834390395163 258.2432663779743 … 136.9972283642248 504.90462950861695; … ; 503.66925666392325 265.69565802465263 … 147.77893962435684 543.7081895922205; 502.09560776314225 266.9039193206622 … 148.2546903619962 545.2524890958439])

Plot the results, comparing the two cases as different lines

p1 = plot(data.real_gdp, title = "gdp", titlefont = 10, label = "forward looking")
+plot!(p1, data_back.real_gdp, titlefont = 10, label = "backward looking")
+
+p2 = plot(data.real_household_consumption, title = "consumption", titlefont = 10)
+plot!(p2, data_back.real_household_consumption, titlefont = 10, label = "backward looking")
+
+plot(p1, p2, layout = (2, 1), legend = true)
Example block output

Plot all time series

p1 = plot(data.real_gdp, title = "gdp", titlefont = 10)
+plot!(p1, data_back.real_gdp, titlefont = 10)
+p2 = plot(data.real_household_consumption, title = "household cons.", titlefont = 10)
+plot!(p2, data_back.real_household_consumption, titlefont = 10)
+p3 = plot(data.real_government_consumption, title = "gov. cons.", titlefont = 10)
+plot!(p3, data_back.real_government_consumption, titlefont = 10)
+p4 = plot(data.real_capitalformation, title = "capital form.", titlefont = 10)
+plot!(p4, data_back.real_capitalformation, titlefont = 10)
+p5 = plot(data.real_exports, title = "exports", titlefont = 10)
+plot!(p5, data_back.real_exports, titlefont = 10)
+p6 = plot(data.real_imports, title = "imports", titlefont = 10)
+plot!(p6, data_back.real_imports, titlefont = 10)
+p7 = plot(data.wages, title = "wages", titlefont = 10)
+plot!(p7, data_back.wages, titlefont = 10)
+p8 = plot(data.euribor, title = "euribor", titlefont = 10)
+plot!(p8, data_back.euribor, titlefont = 10)
+p9 = plot(data.nominal_gdp ./ data.real_gdp, title = "gdp deflator", titlefont = 10)
+plot!(p9, data_back.nominal_gdp ./ data_back.real_gdp, titlefont = 10)
+
+plot(p1, p2, p3, p4, p5, p6, p7, p8, p9, layout = (3, 3), legend = false)
Example block output

Note that, importantly, once the function estimate_next_value has been changed, the model will use the new expectations in all the simulations, unless the function is changed again. To restore the original expectations you could close the Julia session.

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In this tutorial we illustrate how to calibrate the model to the Italian data for a specific quarter

import BeforeIT as Bit
+using Dates, FileIO

We start from loading the calibration object for italy, which contains 4 datasets: calibration_data, figaro, data, and ea. These are saved within BeforeIT.jl for the Italian case, and would need to be appropriately generated for other countries.

cal = Bit.ITALY_CALIBRATION
+fieldnames(typeof(cal))
(:calibration, :figaro, :data, :ea, :max_calibration_date, :estimation_date)

These are essentially 4 dictionaries with well defined keys, such as

println(keys(cal.calibration))
+println(keys(cal.figaro))
+println(keys(cal.data))
+println(keys(cal.ea))
["social_benefits", "government_debt_quarterly", "capital_taxes", "interest_government_debt", "dwellings_eu7", "pension_benefits", "nace64_capital_consumption_eu20", "fixed_assets_eu7", "firm_interest", "dwellings", "nominal_nace64_output_eu20", "social_contributions", "nominal_nace64_output", "income_tax", "wages", "employees", "fixed_assets", "firms", "mixed_income", "nominal_nace64_output_eu7", "firm_debt_quarterly", "bank_equity_quarterly", "corporate_tax", "property_income", "household_cash_quarterly", "gross_capitalformation_dwellings", "gross_fixed_capitalformation", "unemployment_benefits", "population", "years_num", "government_deficit", "capital_consumption", "firm_cash_quarterly", "quarters_num", "nace64_capital_consumption"]
+["intermediate_consumption", "household_consumption", "capitalformation", "operating_surplus", "compensation_employees", "imports", "government_consumption", "inventory_changes", "exports", "taxes_products_government", "fixed_capitalformation", "taxes_products", "years_num", "quarters_num", "taxes_production", "taxes_products_capitalformation", "taxes_products_household"]
+["unemployment_rate", "nominal_nace10_gva_quarterly", "operating_surplus", "nominal_household_consumption_growth_quarterly", "nominal_exports", "real_capitalformation_growth", "household_consumption_deflator", "gdp_deflator_growth", "gva_deflator_quarterly", "capitalformation_deflator_growth", "nominal_final_consumption_growth_quarterly", "real_fixed_capitalformation_growth", "real_exports_growth", "nominal_imports", "nominal_nace10_gva_growth_quarterly", "gdp_deflator_quarterly", "capitalformation_deflator_quarterly", "real_government_consumption_growth_quarterly", "real_final_consumption", "real_capitalformation_quarterly", "nominal_capitalformation_growth", "fixed_capitalformation_deflator", "real_imports_growth", "nace10_gva_deflator", "real_household_consumption_growth", "fixed_capitalformation_deflator_growth", "real_gva", "nominal_final_consumption", "nominal_exports_quarterly", "real_household_consumption", "real_imports_quarterly", "real_nace10_gva_growth", "real_gva_growth_quarterly", "nominal_household_consumption_growth", "nominal_imports_quarterly", "employed_quarterly", "nace10_gva_deflator_growth", "nominal_capitalformation_growth_quarterly", "nace10_gva_deflator_quarterly", "real_government_consumption_growth", "nominal_government_consumption_quarterly", "final_consumption_deflator", "real_capitalformation_growth_quarterly", "compensation_employees", "gva_deflator_growth", "imports_deflator_quarterly", "real_household_consumption_growth_quarterly", "gdp_deflator_growth_quarterly", "nominal_gdp_quarterly", "exports_deflator_growth_quarterly", "government_consumption_deflator_growth_quarterly", "exports_deflator_quarterly", "real_exports_growth_quarterly", "wages", "nominal_nace10_gva", "gdp_deflator", "household_consumption_deflator_growth", "nominal_nace10_gva_growth", "nominal_gdp_growth", "nominal_household_consumption", "fixed_capitalformation_deflator_quarterly", "nominal_exports_growth_quarterly", "wages_quarterly", "nominal_exports_growth", "euribor", "years_num", "real_final_consumption_quarterly", "nominal_gva_quarterly", "quarters_num", "real_capitalformation", "nominal_government_consumption_growth", "real_final_consumption_growth", "nominal_imports_growth", "nominal_government_consumption", "imports_deflator_growth", "nominal_fixed_capitalformation_quarterly", "real_nace10_gva_quarterly", "nominal_final_consumption_quarterly", "compensation_employees_quarterly", "nominal_fixed_capitalformation_growth_quarterly", "real_gdp_growth", "real_government_consumption", "exports_deflator_growth", "nominal_gdp", "imports_deflator_growth_quarterly", "real_nace10_gva", "real_exports_quarterly", "government_consumption_deflator_growth", "real_fixed_capitalformation_growth_quarterly", "nominal_capitalformation_quarterly", "nominal_gdp_growth_quarterly", "employed", "imports_deflator", "euribor_yearly", "fixed_capitalformation_deflator_growth_quarterly", "real_imports", "real_final_consumption_growth_quarterly", "nominal_household_consumption_quarterly", "real_fixed_capitalformation", "household_consumption_deflator_growth_quarterly", "nominal_fixed_capitalformation_growth", "gva_deflator_growth_quarterly", "final_consumption_deflator_growth_quarterly", "unemployment_rate_quarterly", "nominal_gva_growth_quarterly", "nominal_government_consumption_growth_quarterly", "final_consumption_deflator_quarterly", "real_gva_growth", "government_consumption_deflator_quarterly", "real_gdp_growth_quarterly", "exports_deflator", "real_gdp_quarterly", "final_consumption_deflator_growth", "capitalformation_deflator_growth_quarterly", "real_fixed_capitalformation_quarterly", "real_gdp", "nominal_fixed_capitalformation", "real_nace10_gva_growth_quarterly", "nace10_gva_deflator_growth_quarterly", "real_government_consumption_quarterly", "government_consumption_deflator", "nominal_gva_growth", "household_consumption_deflator_quarterly", "real_household_consumption_quarterly", "capitalformation_deflator", "nominal_capitalformation", "operating_surplus_quarterly", "nominal_imports_growth_quarterly", "gva_deflator", "nominal_final_consumption_growth", "real_gva_quarterly", "nominal_gva", "real_imports_growth_quarterly", "real_exports"]
+["nominal_nace10_gva_quarterly", "operating_surplus", "nominal_household_consumption_growth_quarterly", "nominal_exports", "real_capitalformation_growth", "household_consumption_deflator", "gdp_deflator_growth", "gva_deflator_quarterly", "capitalformation_deflator_growth", "nominal_final_consumption_growth_quarterly", "real_fixed_capitalformation_growth", "real_exports_growth", "nominal_imports", "nominal_nace10_gva_growth_quarterly", "gdp_deflator_quarterly", "capitalformation_deflator_quarterly", "real_government_consumption_growth_quarterly", "real_final_consumption", "real_capitalformation_quarterly", "nominal_capitalformation_growth", "fixed_capitalformation_deflator", "real_imports_growth", "nace10_gva_deflator", "real_household_consumption_growth", "fixed_capitalformation_deflator_growth", "real_gva", "nominal_final_consumption", "nominal_exports_quarterly", "real_household_consumption", "real_imports_quarterly", "real_nace10_gva_growth", "real_gva_growth_quarterly", "nominal_household_consumption_growth", "nominal_imports_quarterly", "employed_quarterly", "nace10_gva_deflator_growth", "nominal_capitalformation_growth_quarterly", "nace10_gva_deflator_quarterly", "real_government_consumption_growth", "nominal_government_consumption_quarterly", "final_consumption_deflator", "real_capitalformation_growth_quarterly", "compensation_employees", "gva_deflator_growth", "imports_deflator_quarterly", "real_household_consumption_growth_quarterly", "gdp_deflator_growth_quarterly", "nominal_gdp_quarterly", "exports_deflator_growth_quarterly", "government_consumption_deflator_growth_quarterly", "exports_deflator_quarterly", "real_exports_growth_quarterly", "wages", "nominal_nace10_gva", "gdp_deflator", "household_consumption_deflator_growth", "nominal_nace10_gva_growth", "nominal_gdp_growth", "nominal_household_consumption", "fixed_capitalformation_deflator_quarterly", "nominal_exports_growth_quarterly", "wages_quarterly", "nominal_exports_growth", "euribor", "years_num", "real_final_consumption_quarterly", "nominal_gva_quarterly", "quarters_num", "real_capitalformation", "nominal_government_consumption_growth", "real_final_consumption_growth", "nominal_imports_growth", "nominal_government_consumption", "imports_deflator_growth", "nominal_fixed_capitalformation_quarterly", "real_nace10_gva_quarterly", "nominal_final_consumption_quarterly", "compensation_employees_quarterly", "nominal_fixed_capitalformation_growth_quarterly", "real_gdp_growth", "real_government_consumption", "exports_deflator_growth", "nominal_gdp", "imports_deflator_growth_quarterly", "real_nace10_gva", "real_exports_quarterly", "government_consumption_deflator_growth", "real_fixed_capitalformation_growth_quarterly", "nominal_capitalformation_quarterly", "nominal_gdp_growth_quarterly", "employed", "imports_deflator", "euribor_yearly", "fixed_capitalformation_deflator_growth_quarterly", "real_imports", "real_final_consumption_growth_quarterly", "nominal_household_consumption_quarterly", "real_fixed_capitalformation", "household_consumption_deflator_growth_quarterly", "nominal_fixed_capitalformation_growth", "gva_deflator_growth_quarterly", "final_consumption_deflator_growth_quarterly", "nominal_gva_growth_quarterly", "nominal_government_consumption_growth_quarterly", "final_consumption_deflator_quarterly", "real_gva_growth", "government_consumption_deflator_quarterly", "real_gdp_growth_quarterly", "exports_deflator", "real_gdp_quarterly", "final_consumption_deflator_growth", "capitalformation_deflator_growth_quarterly", "real_fixed_capitalformation_quarterly", "real_gdp", "nominal_fixed_capitalformation", "real_nace10_gva_growth_quarterly", "nace10_gva_deflator_growth_quarterly", "real_government_consumption_quarterly", "government_consumption_deflator", "nominal_gva_growth", "household_consumption_deflator_quarterly", "real_household_consumption_quarterly", "capitalformation_deflator", "nominal_capitalformation", "operating_surplus_quarterly", "nominal_imports_growth_quarterly", "gva_deflator", "nominal_final_consumption_growth", "real_gva_quarterly", "nominal_gva", "real_imports_growth_quarterly", "real_exports"]

The object also contains two time variables related to the data

println(cal.max_calibration_date)
+println(cal.estimation_date)
2016-12-31T00:00:00
+1996-12-31T00:00:00

We can calibrate the model on a specific quarter as follows

calibration_date = DateTime(2010, 03, 31)
+parameters, initial_conditions = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.01)
(Dict{String, Any}("c_E_g" => [0.012978039260418144; 0.0003985263617433438; … ; 0.0006434280333680591; 0.0004140786749482401;;], "T" => 12, "C" => [4.382915017591217e-5 0.00015893321363428918 0.00010502110395244288; 0.00015893321363428918 0.0007927471570727974 0.0005507616320609982; 0.00010502110395244288 0.0005507616320609982 0.0005321192085097513], "xi_pi" => 0.3251309110739497, "L" => 23301.0, "sigma_E" => 0.028155765964945748, "H_act" => 233911.0, "beta_I" => 0.7789361541128721, "theta" => 0.05, "tau_SIW" => 0.12024155738392799…), Dict{String, Any}("sb_inact" => 0.14744411918306366, "K_H" => 2.5717239e6, "E_CB" => 1.4744936e6, "L_G" => 1.8761466e6, "C_G" => [69620.85113236062; 69628.26021546751; … ; 79003.25341430637; 79057.21957369307;;], "w_UB" => 0.25418566007666155, "pi" => [0.01552341251616679, 0.007364847580140943, -0.0014413096223191424, 0.012659687617788129, -0.00543339680120708, 0.0031342727675487403, 0.008259917102933556, 0.0024505137911164376, 0.015517671905839303, -0.00045722860474695093  …  0.018003552480356795, -0.005662735440323672, 0.011943008727627318, 0.0007471090186489046, 0.0028493451107789447, 0.010472796408025353, 0.0006497589705015978, -0.0008405102979527736, 0.0020667266123554308, -0.0017542487268334779], "sb_other" => 0.02967997863525455, "D_RoW" => 0.0, "Y" => [700366.76824049, 702852.9431179382, 712326.5572179741, 717255.0622122793, 730150.7303844375, 724630.8126553466, 728866.2558510749, 729869.1801729304, 725864.7575767277, 730869.7451354716  …  829111.1076237833, 838773.0772424112, 830807.0937442156, 820293.7886396761, 797832.2947409479, 777930.7056982398, 774054.8681846666, 778964.3016911813, 781534.6270508396, 784197.360650308]…))

In general, we might want to repeat this operation for multiple quarters. In the following, we loop over all quarters from 2010Q1 to 2019Q4 and save the parameters and initial conditions in separate files. We can then load these files later to run the model for each quarter.

start_calibration_date = DateTime(2010, 03, 31)
+end_calibration_date = DateTime(2019, 12, 31)
+
+for calibration_date in collect(start_calibration_date:Dates.Month(3):end_calibration_date)
+    params, init_conds = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.0005)
+    save(
+        "data/italy/parameters/" *
+        string(year(calibration_date)) *
+        "Q" *
+        string(Dates.quarterofyear(calibration_date)) *
+        ".jld2",
+        params,
+    )
+    save(
+        "data/italy/initial_conditions/" *
+        string(year(calibration_date)) *
+        "Q" *
+        string(Dates.quarterofyear(calibration_date)) *
+        ".jld2",
+        init_conds,
+    )
+end
diff --git a/dev/examples/multithreading_speedup.html b/dev/examples/multithreading_speedup.html new file mode 100644 index 0000000..3db46fa --- /dev/null +++ b/dev/examples/multithreading_speedup.html @@ -0,0 +1,11 @@ + +Multithreading within the model · BeforeIT.jl

Multithreading speedup for large models

In this tutorial we illustrate how to make use of multi threading in BeforeIT.jl to allow for faster executions of single simulation runs.

import BeforeIT as Bit
+using FileIO, Plots, StatsPlots

First, we initialise the model, this time we use the Italy 2010Q1 scenario, and we want to simulate the model for a large number of epochs

parameters = Bit.ITALY2010Q1.parameters
+initial_conditions = Bit.ITALY2010Q1.initial_conditions
+T = 50
+model = Bit.init_model(parameters, initial_conditions, T);

The model is in scale 1:2000, so it has around 30,000 households

model.prop.H
29915

Note that the households number is actually the sum of active and inactive households, the owners of firms and of the bank

length(model.w_act) + length(model.w_inact) + length(model.firms) + 1
29915

Let's fist check how many threads we have available in this Julia session

Threads.nthreads()
2

Then we need to first compile the code not to count compilation time, we can do that just by executing the function one time

Bit.run_one_sim!(model; multi_threading = false);

Let's now compare the performance of single threading and multi threading

model = Bit.init_model(parameters, initial_conditions, T);
+@time data = Bit.run_one_sim!(model; multi_threading = false);
+
+model = Bit.init_model(parameters, initial_conditions, T);
+@time data = Bit.run_one_sim!(model; multi_threading = true);
  5.448569 seconds (3.78 M allocations: 6.420 GiB, 19.11% gc time)
+  2.695783 seconds (3.65 M allocations: 6.150 GiB, 9.05% gc time)

Is the speedup in line to what we would expect? Yes!

diff --git a/dev/examples/scenario_analysis_via_overload-81c688a6.svg b/dev/examples/scenario_analysis_via_overload-81c688a6.svg new file mode 100644 index 0000000..4fc1f67 --- /dev/null +++ b/dev/examples/scenario_analysis_via_overload-81c688a6.svg @@ -0,0 +1,46 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/scenario_analysis_via_overload.html b/dev/examples/scenario_analysis_via_overload.html new file mode 100644 index 0000000..689446f --- /dev/null +++ b/dev/examples/scenario_analysis_via_overload.html @@ -0,0 +1,59 @@ + +Shocked simulations (advanced) · BeforeIT.jl

Scenario analysis via function overloading

In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.

import BeforeIT as Bit
+using Plots, StatsPlots
+
+parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Initialise the model and the data collector

T = 20
+model = Bit.init_model(parameters, initial_conditions, T);
+data = Bit.init_data(model);

Simulate the model for T quarters

data_vec_baseline = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999999, 72490.32715969233, 72745.01350851887, 73036.19868684297, 73101.97101584724, 73135.88215937368, 73338.00877368738, 73508.2692774224, 73822.52497256578, 74078.54126491581  …  74538.2788285288, 74675.61968507324, 74801.27856331534, 74838.48637448097, 75022.55143235985, 75162.20985954536, 75357.51802312113, 75480.63869547483, 75830.51292712508, 76421.36837097253], [72421.99999999999, 72417.29669592284, 72598.51324598843, 72815.6797901376, 72807.829229122, 72768.2195657863, 72895.81703027921, 72991.44147788413, 73229.6379957611, 73409.56702209338  …  73716.39677910489, 73777.82076542922, 73827.51626696206, 73789.82509366258, 73896.78848929412, 73959.76525690223, 74077.24441510497, 74123.52221381417, 74392.08385280793, 74896.20100186537], [64900.92049553802, 64966.37094093033, 65216.06270399384, 65470.60715239121, 65512.06600920255, 65559.83609434035, 65741.53158208827, 65889.20588388809, 66184.54135292272, 66416.058623472  …  66810.49076820773, 66923.94942845879, 67036.8797458268, 67068.29571476165, 67238.29935374917, 67364.09825784479, 67553.73811903397, 67655.28002546652, 67980.5731836729, 68537.47954022205], [64900.92049553802, 64900.920495538005, 65084.72490025257, 65272.93111892486, 65248.46386715041, 65230.25916627262, 65345.14282064378, 65425.9468026305, 65652.99691376244, 65816.28125515157  …  66073.81769313029, 66119.34613559599, 66164.19431563858, 66128.51287983608, 66229.34425528847, 66286.40779992139, 66406.04548921435, 66438.86085916402, 66691.04962407211, 67169.65363519284], [40512.94792630534, 40509.74867899371, 40428.33705746146, 40676.07232946786, 40783.93227281672, 40687.696455344994, 40859.781105636655, 40981.96126643634, 41042.59315818606, 41169.41067171808  …  41473.54754927279, 41573.89862920543, 41640.39700630889, 41698.480175325676, 41777.21045382879, 41863.7788287501, 41830.5770044632, 41955.60917679909, 42064.793923470614, 42132.624716022554], [40512.94792630534, 40468.93708592837, 40346.918940852105, 40553.25867331277, 40619.82919130329, 40483.1546686845, 40613.41693316324, 40693.82202618083, 40712.96993022377, 40797.6258759961  …  41016.24742385546, 41074.07015195804, 41098.3227344687, 41114.18747049956, 41150.31581354211, 41194.04233493299, 41119.90360183771, 41201.26144344637, 41266.86680615273, 41291.769523797004], [14866.888022051655, 14924.433192075354, 15178.264350186813, 15225.342731053921, 15261.570809239949, 15052.826337437726, 15043.546478547543, 15315.324315781883, 15332.566728847976, 15461.844654385159  …  15774.694870888425, 15964.269774665834, 15818.759370401805, 15880.40737271453, 15850.785525080835, 15930.826102461382, 15897.24955673825, 15997.157781051972, 16108.41970913961, 16370.700000502726], [14866.888022051655, 14909.397554629351, 15147.697035606572, 15179.372707402927, 15200.16253742891, 14977.15402709377, 14952.841370028464, 15207.644112681632, 15209.427089044244, 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14878.646654229799, 14942.437977003809, 14869.414990795824, 15026.7421595825, 15130.837386418669, 15084.298914197441, 15182.337452366985, 15166.036717101484, 15106.804550458077  …  15218.751901219934, 15310.707382124176, 15389.242355398903, 15394.907155109924, 15495.2762042651, 15524.587816413368, 15343.032712141185, 15498.053292048251, 15554.68087895252, 15460.163756353311], [15944.236265986641, 15961.61492961959, 16031.078209895408, 16131.530638804341, 15926.130946674342, 16204.332097217404, 16243.747929712286, 16210.7163917413, 16367.541766783137, 16460.844289251363  …  16564.643517085515, 16924.44993691182, 16285.294403281863, 16943.911928520156, 16432.19537217406, 16775.908196497465, 16718.556586195187, 16023.772805702662, 16574.165162565452, 16699.165972480547], [15944.236265986641, 15945.534382234917, 15998.793424270621, 16082.824553293363, 15862.048671638817, 16122.871033368692, 16145.806202951086, 16096.740794654856, 16236.089986185803, 16312.192862581942  …  16381.996649251088, 16720.973180602225, 16073.292603586631, 16706.488308056672, 16185.619425741628, 16507.52731329815, 16434.519540881876, 15735.67076326045, 16259.769807290942, 16365.895009457461], [15944.236265986641, 15955.09452673948, 15976.867298005945, 16037.108903406312, 16074.816867253645, 16161.926129829393, 16212.911606617421, 16278.892941781645, 16337.340228894356, 16405.965552668942  …  16476.530320398586, 16512.312077218197, 16518.174283067838, 16563.098219620297, 16556.492285225468, 16599.62827914377, 16626.038529027774, 16626.285392703438, 16674.96946046684, 16762.176565070673], [15944.236265986641, 15939.020548342216, 15944.69168705088, 15988.687906348583, 16010.136321860531, 16080.678245715351, 16115.155807558616, 16164.438003572308, 16206.131004325829, 16257.809714338942  …  16294.855015844296, 16313.790310592485, 16303.14085542626, 16331.010685054249, 16308.051181503935, 16334.067521052171, 16343.57330335454, 16327.35037671518, 16358.661948366267, 16427.648078114486], [3173.2320350842083, 3171.2111577810924, 3148.6897923950432, 3155.852968870274, 3154.657054245484, 3159.9682957684495, 3170.987421964578, 3183.7786181127826, 3188.6540749253186, 3216.2573638200897  …  3241.0306435514676, 3257.5532351170673, 3260.9810184723096, 3267.0422500037043, 3272.6636580690333, 3283.131016158452, 3290.4280472180662, 3292.952963478067, 3245.2290027896383, 3272.7978923498194], [3173.2320350842083, 3168.0163174397912, 3142.3486858508995, 3146.3244716678973, 3141.9636008468005, 3144.08276728402, 3151.867943812791, 3161.393853601369, 3163.0452045261895, 3187.2126054063256  …  3205.2940401654973, 3218.388809197272, 3218.529600182395, 3221.2633883998847, 3223.5551780049573, 3230.607504974738, 3234.5258851187605, 3233.7467773976855, 3183.6702506430374, 3207.48154618254], [34195.564496956766, 33929.75297940831, 34290.80576458739, 33839.50449363778, 33884.13281319115, 33949.76318510454, 34584.41374570209, 34390.0939982841, 34631.40510156556, 34658.61096425066  …  35035.45762899092, 34836.921037561166, 35910.51981264336, 35613.526872660506, 36793.569619423775, 36226.06136572447, 37640.830800281416, 38398.94217902295, 37313.61811683909, 37303.872663516406], [34195.564496956766, 33895.57041060552, 34221.747944613206, 33737.3325524612, 33747.79258557748, 33779.09377337697, 34375.886919508135, 34148.301383905266, 34353.271712321555, 34345.62264629539  …  34649.14586849451, 34418.08889123085, 35443.03702481378, 35114.49851821374, 36241.4578019791, 35646.517043575914, 37001.33837110375, 37708.542121337436, 36605.81605807131, 36559.386526451315], [33097.63671130043, 32769.17729583597, 32981.258580625836, 32465.540340100546, 32413.325498226917, 32539.09826205012, 33037.556084139556, 32810.795814550955, 33032.9060849854, 33063.53371820994  …  33649.409988581734, 33851.678577995976, 34423.739350621254, 34650.899063103716, 35553.74914149182, 35259.89872990082, 36298.26589045614, 36624.5340660457, 35741.742781955385, 35604.268465621564], [33097.63671130043, 32736.163950345213, 32914.83804116056, 32367.51682209902, 32282.903385891674, 32375.52042711058, 32838.35604084587, 32580.107055740173, 32767.61063713824, 32764.94991706472  …  33278.381216815455, 33444.691657986084, 33975.61145597903, 34165.35936350055, 35020.241649326184, 34695.81107206392, 35681.582737196666, 35966.037269076216, 35063.757627961466, 34893.70191045202], [29576.14777688487, 29605.974349916592, 29688.302509343186, 29821.90892685067, 29904.72661141212, 30065.215576851573, 30162.359244405514, 30299.138704643658, 30406.186557800414, 30511.770742677672  …  30630.04464931671, 30662.228210051824, 30661.6928960753, 30747.61598035315, 30734.35781747913, 30817.633862170867, 30852.424965941733, 30884.607646790053, 31096.584466326418, 31215.317590523555], [34346.71094688275, 34381.34847608994, 34526.41393109727, 34640.34155181819, 34688.89962782172, 34976.135462193626, 35046.70572014448, 35179.126026269376, 35338.47322750703, 35426.202440588335  …  35546.37512151451, 35634.326293050784, 35658.66085698628, 35826.33369817297, 35772.97266933772, 35890.6071230476, 35991.4927233348, 35944.73823934199, 36225.53174137875, 36368.90729775711], [28335.329312139664, 28363.904560528434, 28483.580573926196, 28577.568515184037, 28617.62792804752, 28854.591577049086, 28912.8105867753, 29022.05461271612, 29153.51277268432, 29225.887567080154  …  29325.027554417862, 29397.585459968785, 29417.660974152543, 29555.987615648854, 29511.965865594837, 29609.011867742698, 29692.240410685616, 29653.66892409395, 29885.31778157044, 30003.599663395304], [978.0617717704338, 979.0481149238876, 981.5141209144572, 984.0835300706825, 981.4898664162275, 988.3876135339045, 990.4383257253617, 995.5843065851361, 998.8842157122388, 1001.6504453317851  …  1008.2404950277506, 1011.4931732723699, 1013.7305642084975, 1022.235068461972, 1025.4223342924051, 1030.3546572052733, 1034.3454963299118, 1032.8911765693085, 1042.7587749658642, 1043.3181695162555], [0.0019383188997990075, -0.00019383731229871692, 0.0015865064634743575, 0.0031133137585348525, 0.004399791137177145, 0.002166087409281703, 0.0016740035053637303, 0.005956015446816565, 0.007373165185340591, 0.0059954835365734205  …  0.00504496730018178, 0.0016683759367552842, 0.005209366237136193, 0.004357491062291441, 0.0026441753971822024, 0.002048543154599569, 0.005012000691778429, -0.00014281457528020347, 0.0040835279373843125, 0.0019471274808173789], [2.3548476e6, 2.350025002505579e6, 2.379121545873197e6, 2.368350448881972e6, 2.3823400539233875e6, 2.3830945574325714e6, 2.407709015963127e6, 2.3821542978136973e6, 2.37026611056626e6, 2.3785481779057784e6  …  2.4047194428663715e6, 2.406318784335948e6, 2.4394224984722026e6, 2.433896855958284e6, 2.4520685903497613e6, 2.4298229510838436e6, 2.453051201446873e6, 2.4557512103466266e6, 2.4338445156196784e6, 2.42493033351985e6], [0.0016459319014481277, 0.001318194524972672, 0.002474842876542719, 0.0019177578871649246, 0.002457748870876194, 0.002356652713714306, 0.003236535393778621, 0.0020896399206917684, 0.0016132698411041734, 0.0019751033837272936  …  0.0029805792478714388, 0.0028636212046422456, 0.004124299991912632, 0.0036961615927324346, 0.004217567493997267, 0.0030599975410188136, 0.0038887580657931643, 0.0037058459556543045, 0.0026477731079176574, 0.0021361805101518623], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.6059091613057 258.5036962251161 … 137.13538556670352 505.41380923410753; … ; 527.076581551166 264.9473826341032 … 143.21428694203647 527.2347647057791; 535.6500268309849 270.0350596777946 … 143.939012257057 529.281686682483], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.0834390395163 258.24326637797435 … 136.99722836422478 504.904629508617; … ; 517.0784653571795 259.9215954722596 … 140.4976549921376 517.2336479353772; 524.9598761624129 264.6458776948668 … 141.06637219164566 518.718631154929])])

Now, apply a shock to the model and simulate it again Here, we do this by overloading the centralbankrate function with the wanted behaviour

import BeforeIT: central_bank_rate
+
+function central_bank_rate(cb::Bit.CentralBank, model::Bit.Model)
+    gamma_EA = model.rotw.gamma_EA
+    pi_EA = model.rotw.pi_EA
+    taylor_rate = Bit.taylor_rule(cb.rho, cb.r_bar, cb.r_star, cb.pi_star, cb.xi_pi, cb.xi_gamma, gamma_EA, pi_EA)
+    if model.agg.t < 10
+        return 0.01
+    else
+        return taylor_rate
+    end
+end
+
+data_vec_shocked = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999999, 72489.76522055906, 72527.84084339692, 72358.73838111435, 72422.98511871799, 72560.02232652462, 72743.89365887582, 72853.61299495425, 73167.23957771032, 73071.23307855397  …  75395.5924001972, 75784.15786519754, 76076.90675451639, 76334.75468528284, 77138.03784370111, 77652.0506924154, 77570.27931242945, 77470.02355714855, 77729.33214994115, 78101.15737574776], [72421.99999999999, 72416.7353229158, 72381.77794214968, 72140.26494682158, 72131.57538041979, 72195.2546473543, 72305.28413433074, 72341.38800499444, 72579.61536016314, 72411.35544076416  …  74564.257346943, 74873.03137780548, 75086.53834312613, 75265.12720486247, 75980.53062957332, 76409.77363039539, 76252.41237658306, 76077.13860517836, 76254.88437191861, 76542.4658833271], [64900.92049553802, 64966.37094093033, 65006.35040679171, 64844.934239615424, 64896.67529291769, 65017.48160938105, 65179.29725993228, 65282.40309387096, 65574.0623733604, 65669.87896608586  …  67767.93601260765, 68071.18169720116, 68308.13668349921, 68576.26257428124, 69341.41456153634, 69778.33466524775, 69636.76682343057, 69526.54265275001, 69765.10238177358, 70105.79980968738], [64900.92049553802, 64900.920495538005, 64875.43493999305, 64649.147306388375, 64635.549310157774, 64690.63116044613, 64786.29849201613, 64823.41037004234, 65047.42084204213, 65076.840053501764  …  67020.70585099651, 67252.78563106398, 67418.90204320871, 67615.34961587338, 68300.90083009511, 68662.02126711285, 68453.68493524742, 68276.47881415974, 68441.72808605865, 68706.6744009948], [40512.94792630534, 40522.94571004111, 40536.530338537465, 40486.32392480483, 40567.417347960414, 40663.805326557725, 40774.395917201444, 40803.710420139716, 40926.217789377726, 39887.34217644193  …  40801.53744837455, 41306.66322834109, 41604.90956026488, 41553.25121786522, 41805.42757599962, 42154.42118913715, 42573.80982593228, 42614.17015957912, 42724.62608517559, 42861.009679024195], [40512.94792630534, 40482.12082161163, 40454.89433284793, 40364.08317783174, 40404.18546165492, 40459.383643382826, 40528.54657497727, 40516.824440144104, 40597.52920081745, 39527.135238305185  …  40351.647113572806, 40810.04762907468, 41063.29726364256, 40970.993508559804, 41178.10951915503, 41480.035000504125, 41850.50939695448, 41847.98172138678, 41914.18261093335, 42005.61785913295], [14866.888022051655, 14775.769533717319, 14903.406030000264, 14851.761343115526, 14857.757986215473, 14981.117624565872, 15020.15059527929, 15056.10636478871, 14961.577612716746, 14960.534240743113  …  15588.805239799989, 15824.674831547078, 15860.354948825547, 15967.775296359376, 16007.505697120609, 16022.391840238868, 16021.706954147161, 16071.419272054995, 16105.750184148013, 16317.884973892622], [14866.888022051655, 14760.883667645532, 14873.392249114286, 14806.919277339925, 14797.974543716326, 14905.80580226932, 14929.586552308407, 14950.24869192255, 14841.417478363088, 14825.431525503016  …  15416.918265752354, 15634.420287595613, 15653.885006699218, 15744.029620767935, 15767.302499806305, 15766.065707389293, 15749.508915957205, 15782.460562182712, 15800.240193060048, 15992.22336607881], [15944.236265986641, 16047.860335078727, 16596.732751603402, 15947.101106447082, 15836.324447835817, 16029.980800646677, 15962.976851445252, 15738.287856346566, 16144.34733316871, 17863.794312030204  …  17297.032139635983, 16982.807340129493, 16619.545142420113, 17537.72507142405, 18449.088017269318, 18102.862537999168, 17484.803565913782, 16908.329715829415, 16890.66589858587, 17157.75998257947], [15944.236265986641, 16031.692899660775, 16563.30880145221, 15898.951870795849, 15772.603528912281, 15949.396221062583, 15866.728034740847, 15627.633847467698, 16014.688082331626, 17702.47339412653  …  17106.30972898606, 16778.628973123137, 16403.192069945195, 17291.98074752082, 18172.247264366877, 17813.253046848215, 17187.748499159712, 16604.323637830017, 16570.266840538534, 16815.336702151275], [15944.236265986641, 15955.529193875194, 15969.267663238146, 15938.801934784246, 15964.249841929108, 15995.154556319909, 16027.051801450823, 16041.790424148232, 16108.157451354851, 17723.21075840783  …  16514.506938291433, 16647.327724435596, 16728.41188054685, 18532.821608285765, 18536.48069329075, 17013.360371245042, 17050.083704883935, 17045.144466852726, 17091.197059813283, 17157.989255896493], [15944.236265986641, 15939.454777572022, 15937.107357091409, 15890.677756901783, 15900.014187172006, 15914.745052320275, 15930.416644643577, 15929.002525221169, 15978.788850419374, 17563.15939542157  …  16332.412891836588, 16447.182711793124, 16510.641581963624, 18273.133667141778, 18258.328555554253, 16741.18072951482, 16760.414236535402, 16738.67850567326, 16766.994125971338, 16815.561399782346], [3173.2320350842083, 3171.6458249168054, 3174.456227649022, 3174.0199221238727, 3177.947989542563, 3186.5346910995854, 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3283.0596007391223, 3321.4041097107774, 3316.1682816322364], [3173.2320350842083, 3166.7813641471457, 3150.058248819633, 3140.61716410621, 3129.1548189354585, 3149.5939894069597, 3151.7811332517717, 3160.1724276219757, 3160.256569471972, 3153.8430374963777  …  3187.9054076997572, 3182.29587294731, 3180.512166257708, 3184.6461653274782, 3186.681208769937, 3203.3718660926324, 3203.1190060360186, 3224.031293991343, 3258.4003918860867, 3249.9863777822584], [34195.564496956766, 33905.35257561163, 34532.560300463505, 34607.51578634958, 33073.62188640427, 32860.5008463774, 32391.910234481355, 33932.19418234509, 32929.63701296103, 33383.09630243663  …  33040.536042843836, 33447.040372446594, 33095.51883192876, 33054.80471968997, 33335.27059663551, 35685.17625288559, 36765.89753826232, 37063.61759780854, 36647.76323565431, 38136.86731119261], [34195.564496956766, 33871.19458902383, 34463.01561408757, 34503.02498129499, 32940.542926973285, 32695.307283231046, 32196.603114770784, 33693.621006495, 32665.170944601305, 33081.62665696784  …  32676.220902975747, 33044.9182763958, 32664.681698717395, 32591.63001461795, 32835.052840530836, 35114.285007673236, 36141.269637449645, 36397.226226706625, 35952.59177878324, 37375.75681522998], [33097.63671130043, 32751.178984624596, 33287.66021410255, 33290.35554076137, 31700.26192170395, 31581.07996122626, 30872.223254153476, 32342.566398293027, 31322.442019261027, 31625.393612116623  …  31154.61664839537, 31620.134692802527, 31070.744665930735, 30905.215565061524, 31092.76428001037, 33338.619072001864, 34292.293597495765, 34661.16604389206, 34158.149000083526, 35525.3062504704], [33097.63671130043, 32718.18377155324, 33220.6226162634, 33189.84165029658, 31572.70897680063, 31422.31819581087, 30686.07909163933, 32115.16970418834, 31070.88373184357, 31339.797090042066  …  30811.09623737421, 31239.97684629386, 30666.266022565364, 30472.16160434616, 30626.196812554215, 32805.268035123154, 33709.69056593472, 34037.969943213946, 33510.203038096304, 34816.31557121804], [29576.14777688487, 29605.974349916596, 29673.09802471181, 29779.890270670014, 29895.452774943195, 30003.267570611508, 30083.3300632585, 30197.514192990617, 30347.170807001, 30450.63690292775  …  30727.27316714252, 30843.497437625912, 30956.226670425338, 31104.278604488918, 31262.67356179937, 31412.535203720916, 31644.371758299254, 31879.0711104245, 32007.631514243953, 32123.90166529486], [34346.71094688275, 34381.34847608994, 34502.3103521771, 34657.66284353767, 34778.587887525326, 34894.79697330229, 34932.12761183511, 35013.69188210961, 35231.6210002, 35294.45746517665  …  35497.06355982244, 35675.8553949581, 35810.60390749539, 35928.113995990665, 36128.845610603996, 36232.04644680272, 36596.04365404435, 36903.198593633424, 37022.83829547114, 37187.1103340455], [28335.329312139664, 28363.904560528434, 28463.695617623962, 28591.858224196993, 28691.61889556883, 28787.4889985212, 28818.28600665091, 28885.574850170928, 29065.361885306414, 29117.20067507227  …  29284.346531376043, 29431.84611393361, 29543.010862225517, 29639.95426563208, 29805.55371450573, 29890.69227940358, 30190.982480460716, 30444.378981120317, 30543.0792716844, 30678.600321050075], [978.0617717704338, 979.0481149238876, 980.9062609422532, 986.4322905525488, 989.3365507700739, 991.6637838779875, 984.4496084502181, 981.7935628165371, 991.5576922000151, 990.0434119945253  …  989.0028498068486, 993.0434286425964, 998.9214095480072, 1000.3072932558447, 1002.9477813378418, 1005.389619111977, 1023.158508430759, 1036.6860813222793, 1042.3601833284672, 1046.1745335371238], [0.0019383188997990075, 0.006728434425867791, 0.00908046554836961, 0.01185541336935425, 0.009637705065879798, 0.007116495451877647, 0.005715539760787092, 0.004122393759308451, 0.0032764078652021134, 0.0053481690388572645  …  0.008372601817100866, 0.0035504183401180445, 0.002995044956902726, 0.005754180390484365, 0.0022524653853615018, 0.0007814410912665437, 0.004461102266868799, 0.0026462262902717804, 0.0021137825996921933, 0.0020620202347729766], [2.3548476e6, 2.347127886802868e6, 2.346537676374904e6, 2.353541784658797e6, 2.3163016184728546e6, 2.307559769579166e6, 2.3122319577811817e6, 2.3350579501085877e6, 2.313635215710806e6, 2.344139199057313e6  …  2.3413284425446396e6, 2.3555698029072685e6, 2.366455462312521e6, 2.3728944917606143e6, 2.3661575602355613e6, 2.424216066791932e6, 2.428369956856602e6, 2.428737816441381e6, 2.407452457692039e6, 2.439073505074382e6], [0.0016459319014481277, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01  …  0.008813595575164906, 0.008840856438068942, 0.00870961552545275, 0.008464495823647581, 0.007610276652068634, 0.009478258084152001, 0.0090474659484035, 0.008453279279609474, 0.007013941251453087, 0.007833919729536409], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.6059091613056 258.5036962251161 … 137.13538556670352 505.41380923410753; … ; 571.2425319871543 282.1978688296847 … 146.36317814627148 535.5340908686115; 574.5730034771111 284.67965764299856 … 147.07015356300158 537.2540606751747], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.0834390395163 258.24326637797435 … 136.99722836422478 504.904629508617; … ; 560.4066318359042 276.8448571782292 … 143.5868148760234 525.3755441720687; 563.1060536598974 278.9982084130156 … 144.1350242403374 526.5318977549284])])

Finally, we can plot baseline and shocked simulations

Te = T + 1
+StatsPlots.errorline(
+    1:Te,
+    data_vec_baseline.real_gdp,
+    errortype = :sem,
+    label = "baseline",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
+StatsPlots.errorline!(
+    1:Te,
+    data_vec_shocked.real_gdp,
+    errortype = :sem,
+    label = "shock",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
Example block output

Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, you could close and restart the Julia session.

diff --git a/dev/examples/scenario_analysis_via_shock-1151533a.svg b/dev/examples/scenario_analysis_via_shock-1151533a.svg new file mode 100644 index 0000000..eb0c004 --- /dev/null +++ b/dev/examples/scenario_analysis_via_shock-1151533a.svg @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/examples/scenario_analysis_via_shock.html b/dev/examples/scenario_analysis_via_shock.html new file mode 100644 index 0000000..2334b66 --- /dev/null +++ b/dev/examples/scenario_analysis_via_shock.html @@ -0,0 +1,53 @@ + +Shocked simulations · BeforeIT.jl

Scenario analysis via custom shocks

In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.

import BeforeIT as Bit
+using Plots, StatsPlots
+
+parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Initialise the model and the data collector

T = 20
+model = Bit.init_model(parameters, initial_conditions, T);

Simulate the model for T quarters

data_vec_baseline = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72422.0, 72474.35204292928, 72500.67749532155, 72479.97217810026, 72524.38479605025, 72944.98676292054, 73296.87194582711, 73719.31241025148, 73994.37474483742, 74224.6377515799  …  74223.36403833711, 74244.72559165639, 74243.3548214, 74652.6570142359, 74660.63317396006, 75053.3091144611, 75090.68027577705, 75122.74458543962, 75418.10648195737, 75787.19722139236], [72422.0, 72401.33767330972, 72354.66929799739, 72261.1327014391, 72232.5670539482, 72578.28382271383, 72854.92823704587, 73201.00079183122, 73400.10759996096, 73554.34416870477  …  73404.95433650722, 73352.10716134965, 73276.85557073976, 73606.59963502412, 73540.30105343927, 73852.60670531333, 73814.94006183329, 73772.06291943214, 73987.500345904, 74274.68622267427], [64900.920495538005, 64966.370940930225, 65009.76162902033, 64965.39434724502, 64997.12981187437, 65402.09094537466, 65731.2647164538, 66107.98959866511, 66346.07146921755, 66551.99108685428  …  66514.29513029265, 66521.27112465473, 66507.32551657017, 66891.63658794035, 66881.61132696056, 67255.34297325698, 67265.83763517895, 67287.65194572217, 67569.3800715236, 67907.71197340774], [64900.920495538005, 64900.920495538005, 64878.839292404366, 64769.24370765724, 64735.599628362244, 65073.30702053437, 65334.937859106605, 65643.19227542488, 65813.22974169781, 65950.98616578775  …  65780.88799966338, 65721.50909253575, 65641.5338180429, 65954.32915831967, 65878.00856796447, 66179.39238175281, 66123.0362411757, 66077.84260857242, 66287.65643447141, 66552.45455496124], [40512.94792630534, 40440.97467769727, 40333.81893759827, 40506.55871060514, 40564.61834049748, 40599.27996257108, 40699.01242453883, 40948.69124671697, 41136.25261834324, 41266.448275478106  …  41602.790825908676, 41667.16935802959, 41731.68524443336, 41843.421470098074, 41947.6684866807, 41997.274789030445, 42201.00923150865, 42242.32365512629, 42261.84527548088, 42419.06364196005], [40512.94792630534, 40400.232371078906, 40252.591169834915, 40384.25686854891, 40401.397716611464, 40395.182655912635, 40453.61760730934, 40660.78592396843, 40805.877188066006, 40893.78717122756  …  41144.06562426542, 41166.2195193535, 41188.42258322197, 41257.09780057458, 41318.21601100873, 41325.40262760551, 41484.0424341921, 41482.82089194329, 41460.18029087267, 41572.49189018559], [14866.888022051655, 14878.991589799392, 14858.77668598505, 14786.833104116473, 14982.343426806747, 15020.088808085406, 15082.61737108209, 15217.330025565983, 15328.202307959258, 15286.890659169087  …  15081.951186318534, 15030.772789962499, 15311.821172150609, 15173.428894544937, 15449.505496387625, 15347.354934566014, 15344.79309658451, 15520.853741589612, 15574.705139490825, 15688.736864173454], [14866.888022051655, 14864.001732548053, 14828.852783570454, 14742.187076796994, 14922.058687508299, 14944.581073112582, 14991.676684499533, 15110.3388085333, 15205.09771990034, 15148.840747154027  …  14915.652941374608, 14850.06305324846, 15112.49203724383, 14960.813859824108, 15217.675460692153, 15101.828038265201, 15084.095370101477, 15241.794014668876, 15279.268542377275, 15375.631380225572], [15944.236265986641, 16167.970452874444, 16341.576245128988, 16087.22330350771, 15549.423926068755, 15864.523803144848, 16071.17054003792, 16264.221251938488, 16244.473360819566, 16424.371476549586  …  16556.37011561356, 16782.917115888496, 15663.725071626024, 16687.02984982915, 16061.434198153707, 16873.207686033482, 16716.930617068727, 16246.222077341868, 16581.046236870356, 16314.177241465039], [15944.236265986641, 16151.682012379677, 16308.66615143863, 16038.650995560112, 15486.857414214073, 15784.770995148603, 15974.269369164316, 16149.869468615776, 16114.009973062788, 16276.049421542257  …  16373.814472855209, 16581.141959302342, 15459.814855274757, 16453.20574483832, 15820.421768056895, 16603.27020615803, 16432.921195878527, 15954.120471858138, 16266.520354490562, 15988.589630134456], [15944.236265986641, 15949.97169688411, 15965.760506829172, 15993.420422586925, 16005.187879800953, 16050.574126034118, 16118.649008522638, 16201.440332380795, 16271.335715364421, 16327.914191636353  …  16378.491399657665, 16385.262917577584, 16364.102454569871, 16446.531351295827, 16462.20278302087, 16507.093463149737, 16536.26871308014, 16550.88650615304, 16580.376421372628, 16639.953478746305], [15944.236265986641, 15933.902879487692, 15933.607263700364, 15945.131334579306, 15940.787501884757, 15969.886021406022, 16021.461566081198, 16087.529954152053, 16140.656589387067, 16180.463204525848  …  16197.897102477938, 16188.268618668157, 16151.074732450943, 16216.077189708782, 16215.176555566137, 16243.013076514097, 16255.328616274797, 16253.30713677036, 16265.863244723669, 16307.864239699242], [3173.2320350842083, 3166.0883279257173, 3158.3126844564517, 3169.9704633264723, 3177.040515998382, 3159.2541940342876, 3157.6985155600396, 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3182.07465463302, 3184.3122626071636, 3147.792433347594  …  3122.576646007332, 3125.9552840442484, 3175.3184306559633, 3210.708822289822, 3217.9013034119034, 3232.725555161747, 3231.9510322895585, 3235.722960846521, 3247.8320617298123, 3252.294239818725], [34195.564496956766, 34813.13772180637, 35431.398672231786, 35461.204277101475, 34708.88319045346, 34383.22110618844, 35624.52113331468, 34625.680409143286, 34449.96121311535, 34717.59067150894  …  36940.07592895353, 37536.90786859335, 37706.41979136843, 37766.419706077875, 37128.097565573175, 37558.68128786886, 36688.03451998889, 37262.40494634699, 38083.288642234766, 38931.03499871195], [34195.564496956766, 34778.0651860252, 35360.04382662861, 35354.13592218129, 34569.22439911026, 34210.372651031495, 35409.7229765141, 34382.23141504684, 34173.285044665965, 34404.0697309572  …  36532.76325971144, 37085.614722673454, 37215.55799557421, 37237.2243150498, 36570.96593531228, 36957.81771984214, 36064.729459550195, 36592.43944561771, 37360.88670251401, 38154.07502676603], [33097.63671130043, 33748.30504425906, 34281.638390486114, 34664.85527570327, 33926.13094468807, 33765.15162114269, 34988.86007799359, 33540.145626560436, 33133.272440037195, 33306.33819274716  …  35204.140389912, 35539.850606128086, 35706.756570094796, 35716.90205101044, 34923.97385426452, 35483.76858678062, 34377.735535436994, 35001.37554575726, 35798.07210741861, 36512.628918633054], [33097.63671130043, 33714.30527538799, 34212.59903257067, 34560.19134497737, 33789.62172839645, 33595.41027323845, 34777.89464142863, 33304.32889694959, 32867.170925141756, 33005.561719652374  …  34815.96868127321, 35112.56738286124, 35241.926370119225, 35216.42516984729, 34399.91655630437, 34916.09946025637, 33793.680902747794, 34372.06259272883, 35119.01844239496, 35783.93390342912], [29576.147776884885, 29605.97434991661, 29645.257717275123, 29679.612523018488, 29666.610630549, 29675.465639859736, 29688.510211608693, 29678.517852359637, 29769.050549396445, 29935.238588280696  …  30476.5080720758, 30784.122714606536, 31075.7158314089, 31225.178787932935, 31384.96520976678, 31572.42806869719, 31690.89472684231, 31899.256780858504, 32088.41230189144, 32231.812683256183], [34346.71094688275, 34381.34847608993, 34454.54241060659, 34491.06342781957, 34544.52190934012, 34591.912318521834, 34582.97982005186, 34596.867531354714, 34641.929354891545, 34889.25752460169  …  35576.16792752258, 35933.934464656246, 36176.7426293888, 36307.49391661053, 36491.21247843129, 36670.26171257435, 36829.95617224512, 37116.16438090773, 37336.3691967681, 37494.53422904817], [28335.32931213966, 28363.90456052843, 28424.288049398387, 28454.41713660981, 28498.519283122594, 28537.615394901026, 28530.24626758871, 28541.703343457397, 28578.878420025754, 28782.91906740372  …  29349.606005923073, 29644.756032434303, 29845.067768775323, 29952.93488848712, 30104.49891911569, 30252.21085055437, 30383.955491579625, 30620.071370530437, 30801.73580946819, 30932.218704387935], [978.0617717704336, 979.0481149238879, 984.3187103678514, 988.5701435243803, 994.6460579733008, 996.4321968615352, 993.8384516733977, 999.9102166687564, 992.0902915737332, 994.6582384799905  …  1016.8822377846128, 1029.8746617216543, 1036.2026830287746, 1037.9514378982667, 1042.3148006537317, 1042.6058279083848, 1047.1761375949943, 1053.3844959844332, 1058.0167937058611, 1064.6294008272507], [0.0019383188997990075, 0.005308128238052712, 0.0021088541566325336, 0.006923601323287176, 0.01057633466285135, 0.008402500604969498, 0.004741980271950164, 0.006569049323305265, 0.0022985954729253244, -0.0031905630125552698  …  0.0039679164614467854, 0.008243130157091105, 0.004922016662823658, 0.006917503659251478, 0.005736168202625125, 0.003541467247938801, 0.008585740611248394, 0.0048877168301537655, 0.007482395413037191, 0.005201812639647141], [2.3548476e6, 2.3840021873592413e6, 2.3878512601016425e6, 2.398851084605381e6, 2.4004329577815593e6, 2.3928274893141e6, 2.4051904066505027e6, 2.3962041918615783e6, 2.3917846727152127e6, 2.411605637434065e6  …  2.4439064199785264e6, 2.468043488339714e6, 2.466665632276356e6, 2.4702408945817263e6, 2.457778373694759e6, 2.447189414183631e6, 2.420935822117334e6, 2.4321838408571035e6, 2.44295846814239e6, 2.4747796365824407e6], [0.0016459319014481277, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01  …  0.00994740454800224, 0.010371575392789859, 0.00966177343640167, 0.009247791054075406, 0.008198549791098915, 0.007249086514876012, 0.005854228662475012, 0.005989979684488085, 0.006153965541550509, 0.007098943345674474], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.6059091613058 258.50369622511613 … 137.13538556670355 505.4138092341076; … ; 564.4844959774833 284.3466912583684 … 146.64180466629344 536.6865941342371; 565.0865714365776 285.01219253258085 … 147.32664903242076 538.5646354043912], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.0834390395163 258.2432663779743 … 136.9972283642248 504.904629508617; … ; 553.7767890179489 278.9529185921488 … 143.8601561293128 526.5061856021143; 553.8089455860217 279.3241067901476 … 144.38640074200407 527.8163168963247])])

Now, apply a shock to the model and simulate it again. A shock is simply a function that takes the model and changes some of its parameters for a specific time period.

In this case, let's define an interest rate shock that sets the interest rate for a number of epochs.

We do this by first defining a "struct" with some useful attributes

struct CustomShock
+    rate::Float64    # target rate for the first 10 epochs
+    final_time::Int  # number of epochs for the shock
+end

and then by making the struct a callable function that changes the interest rate in the model, this is done in Julia using the syntax below

function (s::CustomShock)(model::Bit.Model)
+    if model.agg.t <= s.final_time
+        model.cb.r_bar = s.rate
+    end
+end

Now we define a specific shock with a rate of 0.01 for the first 10 epochs, and run a shocked simulation

custom_shock = CustomShock(0.0, 10)
+data_vec_shocked = Bit.run_n_sims(model, 4; shock = custom_shock)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72422.0, 72458.63063173035, 72714.7993073847, 73025.94784345852, 73170.08974424793, 73488.94581643856, 73736.47411998946, 74215.95259231319, 74315.10367343524, 74689.18028783813  …  75172.58090642745, 75228.81699975023, 75598.1201305265, 76403.05467531475, 76935.02128673751, 77443.49876715624, 77857.59775246747, 78271.96742728617, 78684.79761409517, 78745.95566326432], [72422.0, 72385.63210066463, 72568.3598928517, 72805.4598972233, 72875.67386690396, 73119.50833074616, 73291.87982858339, 73694.1491565101, 73718.26067511964, 74014.69160357275  …  74343.70484667894, 74324.36718181372, 74613.98455861978, 75332.47015315716, 75780.56047015703, 76204.55811764165, 76534.84946933789, 76864.66379441545, 77192.22561074348, 77174.39571103048], [64900.920495538005, 64966.370940930225, 65187.0333275795, 65473.4463740019, 65604.67546210511, 65897.04291360846, 66115.53089261762, 66552.03912562672, 66627.47716100705, 66976.25803693687  …  67426.62415519402, 67485.51157561327, 67850.01019928801, 68610.97758355155, 69105.71914574139, 69561.10848322994, 69950.78346788613, 70332.03139881173, 70685.2981040959, 70730.30248547599], [64900.920495538005, 64900.920495538005, 65055.75398573217, 65275.76176804663, 65340.70068564175, 65565.77080760525, 65716.88710121115, 66084.11974357393, 66092.37539469957, 66371.42172749744  …  66683.15740338102, 66674.15681699573, 66966.73944498798, 67649.57818711115, 68068.7421797114, 68448.27026831036, 68762.36664786185, 69067.48514364476, 69344.46861481928, 69318.71366343043], [40512.94792630534, 40319.37525231505, 40466.0852258405, 40613.16803131025, 40686.46819913686, 40815.29155764575, 40944.62291154861, 41108.54017572659, 41202.548443010375, 41309.34175083407  …  41424.931067174024, 41408.0525600783, 41337.38494343024, 41470.82854183544, 41672.285344959695, 41971.28482462056, 42069.92170115199, 42257.978345198026, 42625.707394796336, 42718.4896134155], [40512.94792630534, 40278.75545117816, 40384.59108867232, 40490.54430270733, 40522.75728566462, 40610.108335552424, 40697.74718515263, 40819.51097438523, 40871.64057455023, 40936.29329243609  …  40968.16700208151, 40910.21799225321, 40799.25527959479, 40889.725765950134, 41046.96517524384, 41299.82845049775, 41355.181992915444, 41498.19411595635, 41817.14030928934, 41865.942115186626], [14866.888022051655, 14940.59628379265, 15121.746648645383, 15093.457969701507, 15163.548483205472, 15283.726403855002, 15445.043604555773, 15851.458014057147, 16037.646850636662, 16253.975224072246  …  16419.0428115477, 16578.431361915278, 16662.94762439557, 17052.59631404882, 17117.211873657856, 17202.230268219293, 17261.607399715904, 17286.713469432103, 17253.804014017638, 17056.029435014083], [14866.888022051655, 14925.54436282125, 15091.293154349374, 15047.886146978155, 15102.534625686154, 15206.893331997435, 15351.917667913744, 15740.008319411827, 15908.844537794263, 16107.191950769253  …  16238.001381994814, 16379.114666200048, 16446.029538844316, 16813.649772526293, 16860.356802108658, 16927.02908695957, 16968.34428588822, 16975.90417888339, 16926.51658870146, 16715.63642589483], [15944.236265986641, 16083.080452818574, 15860.9310910651, 16097.858896678581, 16035.852193825702, 16169.704034620892, 16229.851103281786, 16723.826857934848, 16139.715523337365, 16294.203893274376  …  16600.309713185743, 16222.566407222244, 16441.643665884276, 16678.937149425405, 16778.75724686978, 16895.9591017203, 17010.733375331292, 17096.714939558096, 17458.87384317076, 17285.02221434602], [15944.236265986641, 16066.877534852347, 15828.98896257068, 16049.2544765823, 15971.328431327865, 16088.417050074106, 16131.993167477192, 16606.24364287886, 16010.093471711894, 16147.057330642794  …  16417.269578874006, 16027.528151688824, 16227.606513051982, 16445.22644199235, 16526.98091057381, 16625.657644827246, 16721.732442647335, 16789.32175863484, 17127.696448063638, 16940.05911806081], [15944.236265986641, 15945.700682630479, 15993.931032538732, 16049.088158098912, 16089.199605644148, 16141.566892099283, 16206.551474614625, 16279.912371513741, 16304.538492096417, 16358.71070409274  …  16461.38988019368, 16493.37214681648, 16553.09925129602, 16664.409065771408, 16790.936160378144, 16900.254099385253, 17006.148913226392, 17102.169784977345, 17208.47684997033, 17245.780447864843], [15944.236265986641, 15929.6361680723, 15961.721057144538, 16000.630991962398, 16024.461188153955, 16060.421356243482, 16108.83402399082, 16165.450265816675, 16173.592706398023, 16210.981605760708  …  16279.881518802375, 16295.078088365504, 16337.611170767346, 16430.901930585074, 16538.977071439767, 16629.883931144162, 16717.225867473877, 16794.67852776921, 16882.049235673567, 16901.600512925983], [3173.2320350842083, 3161.817313672086, 3161.011066414634, 3165.04106039098, 3171.3372985736114, 3170.6204328400604, 3188.5067143995648, 3197.251739874131, 3216.892703232896, 3211.7404876888277  …  3220.176231467536, 3226.95426952854, 3215.4026966725532, 3197.974230390733, 3217.559577722389, 3231.1378148306476, 3253.0447666585583, 3263.696889845246, 3294.180137666697, 3318.5154029489545], [3173.2320350842083, 3158.631937169875, 3154.645146212599, 3155.4848214955728, 3158.5767285595957, 3154.6813548225423, 3169.281603621613, 3174.7722474642114, 3191.0570414178483, 3182.736519411302  …  3184.669575260567, 3188.1577242954277, 3173.544616520076, 3153.163172405358, 3169.2779707848986, 3179.4460905838687, 3197.7777213828763, 3205.01671812304, 3231.6928313944873, 3252.286656796616], [34195.564496956766, 32640.00069243555, 34052.497475636264, 33889.60224221749, 34042.99144932922, 33645.517403584905, 34331.01558303408, 33933.090075669395, 34616.29959950118, 33533.71544977325  …  33194.253588281106, 32983.01922076771, 34067.31502257016, 33764.073883252684, 33301.64095824034, 33448.957274669665, 33229.38448057876, 33049.64105592808, 33271.19539380034, 34746.687381732256], [34195.564496956766, 32607.117486062987, 33983.91958171077, 33787.27904042717, 33906.01201920964, 33476.377470819396, 34124.01662182047, 33694.51060090113, 34338.287526284585, 33230.88562187743  …  32828.24351135161, 32586.475889117064, 33623.827056266535, 33290.96066732159, 32801.927837074996, 32913.84104785682, 32664.839560879554, 32455.419632194364, 32640.07405564319, 34053.235865372146], [33097.63671130043, 31524.42204963123, 32786.461133802484, 32668.13929644921, 32758.77058124929, 32425.29358326801, 33214.05908243095, 33400.96253107459, 33681.10674305018, 32702.0560301157  …  32465.956273761396, 31963.252550233265, 32911.17112575374, 32563.381213247816, 31934.87413699025, 32074.93270207372, 31714.049204310675, 31419.080382830623, 31924.783031690058, 33060.272981243514], [33097.63671130043, 31492.66273425001, 32720.43289445131, 32569.504069471535, 32626.958494984265, 32262.287857697233, 33013.79481378086, 33166.12438106677, 33410.60543522122, 32406.73659215267 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29874.5205808665  …  30168.592266972384, 30245.81008557569, 30338.588467894722, 30396.71823027157, 30478.236002690825, 30555.218859610326, 30744.50396483407, 30912.203704695796, 31053.802168045197, 31164.475415074365], [34346.71094688275, 34381.34847608993, 34287.979105266, 34268.14610045285, 34338.590320835036, 34335.6382106215, 34431.89933282723, 34481.940933560385, 34711.284233565966, 34944.24421578349  …  35273.92484344359, 35352.50425326331, 35407.827313533184, 35448.211856442984, 35550.65413178743, 35750.52860632675, 35877.994296479024, 36060.94306779688, 36211.27934902259, 36324.948763017295], [28335.32931213966, 28363.90456052843, 28286.876752129112, 28270.51493153152, 28328.629962858773, 28326.194532718306, 28405.607976464747, 28446.89126668352, 28636.094766874292, 28828.281955420298  …  29100.261684921286, 29165.08808002616, 29210.728465614353, 29244.044881973383, 29328.557649785675, 29493.449975747284, 29598.606545529154, 29749.535514843268, 29873.55985134177, 29967.33477736712], [978.0617717704336, 979.0481149238879, 979.9428901849948, 986.1303685577066, 992.5912515043683, 991.6240157749926, 995.2997626494996, 993.664490300186, 992.6597998924836, 998.349681632556  …  1015.7045571409152, 1019.4711729281863, 1017.0352347162537, 1013.80430558097, 1018.919169771012, 1029.3965763817207, 1034.86109659735, 1037.3554245491675, 1041.9638281013008, 1042.9966233796792], [0.0019383188997990075, 0.0059337629210785, 0.003943337011621528, 0.004535312137140979, 0.00623670731643422, 0.0057231191671611725, 0.00904737445662529, 0.006121017831568709, 0.007029923195770005, 0.0019599562491985356  …  0.0020302158278751037, 0.00401685895213677, 0.005091218389326357, 0.007001375159919165, 0.006856659645657626, 0.008684781054133506, 0.005709028050161713, 0.008313107337827086, 0.00784404480625156, 0.0024787722012944435], [2.3548476e6, 2.34915898809926e6, 2.3567542943364447e6, 2.3702216865586527e6, 2.380602603509879e6, 2.3697841881565345e6, 2.3564159198731207e6, 2.3465596353763165e6, 2.359921057995423e6, 2.3950357205390623e6  …  2.4185775943704867e6, 2.4129792043594285e6, 2.396628844506011e6, 2.415444703729562e6, 2.417570320801106e6, 2.4357073661518255e6, 2.4409909022970395e6, 2.425077891673508e6, 2.412809984563572e6, 2.382180876097404e6], [0.0016459319014481277, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0001453196167151053, 0.0, 0.0, 0.0009328885408478772, 0.001107728512764879, 0.0019629323123390805, 0.0021619835756051483, 0.0015514785613892816, 0.001119043065576464, 0.0], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.6059091613057 258.50369622511613 … 137.13538556670355 505.4138092341076; … ; 530.1915929097995 268.8320363764925 … 143.19514965207782 525.8481628264552; 536.5777766986058 271.4109900780944 … 143.75991903588113 527.7953497136106], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.0834390395163 258.2432663779743 … 136.9972283642248 504.904629508617; … ; 520.1343880622946 263.7325612139914 … 140.47888071745302 515.8733485084738; 525.8691106088339 265.99434818188473 … 140.8908531951007 517.2619575209776])])

Finally, we can plot baseline and shocked simulations

Te = T + 1
+StatsPlots.errorline(
+    1:Te,
+    data_vec_baseline.real_gdp,
+    errortype = :sem,
+    label = "baseline",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
+StatsPlots.errorline!(
+    1:Te,
+    data_vec_shocked.real_gdp,
+    errortype = :sem,
+    label = "shock",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
Example block output

Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, we can simply re-import the function central_bank_rate.

diff --git a/dev/index.html b/dev/index.html new file mode 100644 index 0000000..cc85335 --- /dev/null +++ b/dev/index.html @@ -0,0 +1,291 @@ + +Home · BeforeIT.jl

Behavioural agent-based economic forecasting in Julia

Welcome to BeforeIT.jl, a Julia implementation of the agent-based model presented in Economic forecasting with an agent-based model, the first ABM matching the performance of traditional economic forecasting tools.

With BeforeIT.jl, you can perform economic forecasting and explore different counterfactual scenarios. Thanks to its modular design, the package is also a great starting point for anyone looking to extend its capabilities or integrate it with other tools.

Developed in Julia, a language known for its efficiency, BeforeIT.jl is both fast and user-friendly, making it accessible whether you’re an expert programmer or just starting out.

Julia installation

To run this software, you will need a working Julia installation on your machine. If you don't have it installed already, simply follow the short instructions available here.

BeforeIT.jl Installation

To install BeforeIT.jl, simply open a Julia REPL by writing julia in your terminal, and then execute the following

using Pkg
+Pkg.add("BeforeIT")

Quick example

To check that the installation worked, try running the model in your terminal following

using BeforeIT
+
+parameters = BeforeIT.AUSTRIA2010Q1.parameters
+initial_conditions = BeforeIT.AUSTRIA2010Q1.initial_conditions
+
+T = 20
+model = BeforeIT.initialise_model(parameters, initial_conditions, T)
+data = BeforeIT.run_one_sim!(model)

To plot the results of the simulation, you can use the Plots package

using Plots
+
+plot(data.real_gdp)

License

BeforeIT.jl is released under the GNU Affero General Public License v3 or later (AGPLv3+).

Copyright 2024 - Banca d'Italia and the authors.

Main developers and maintainers

Other collaborators and contributors

Disclaimer

This package is an outcome of a research project. All errors are those of the authors. All views expressed are personal views, not those of Bank of Italy.

Reproducibility

The documentation of BeforeIT.jl was built using these direct dependencies,
Status `~/work/BeforeIT.jl/BeforeIT.jl/docs/Project.toml`
+  [ca9fcad7] BeforeIT v0.2.0 `~/work/BeforeIT.jl/BeforeIT.jl`
+  [e30172f5] Documenter v1.8.0
+  [5789e2e9] FileIO v1.16.6
+  [98b081ad] Literate v2.20.1
+  [91a5bcdd] Plots v1.40.9
+  [f3b207a7] StatsPlots v0.15.7
and using this machine and Julia version.
Julia Version 1.10.7
+Commit 4976d05258e (2024-11-26 15:57 UTC)
+Build Info:
+  Official https://julialang.org/ release
+Platform Info:
+  OS: Linux (x86_64-linux-gnu)
+  CPU: 4 × AMD EPYC 7763 64-Core Processor
+  WORD_SIZE: 64
+  LIBM: libopenlibm
+  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)
+Threads: 2 default, 0 interactive, 1 GC (on 4 virtual cores)
A more complete overview of all dependencies and their versions is also provided.
Status `~/work/BeforeIT.jl/BeforeIT.jl/docs/Manifest.toml`
+  [a4c015fc] ANSIColoredPrinters v0.0.1
+  [621f4979] AbstractFFTs v1.5.0
+  [1520ce14] AbstractTrees v0.4.5
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+  [4c555306] ArrayLayouts v1.10.4
+  [13072b0f] AxisAlgorithms v1.1.0
+  [ca9fcad7] BeforeIT v0.2.0 `~/work/BeforeIT.jl/BeforeIT.jl`
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+Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

You can also download the manifest file and the project file.

diff --git a/dev/objects.inv b/dev/objects.inv new file mode 100644 index 0000000..184db07 Binary files /dev/null and b/dev/objects.inv differ diff --git a/dev/search_index.js b/dev/search_index.js new file mode 100644 index 0000000..3aa09d2 --- /dev/null +++ b/dev/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"EditURL = \"../../../examples/scenario_analysis_via_shock.jl\"","category":"page"},{"location":"examples/scenario_analysis_via_shock.html#Scenario-analysis-via-custom-shocks","page":"Shocked simulations","title":"Scenario analysis via custom shocks","text":"","category":"section"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"import BeforeIT as Bit\nusing Plots, StatsPlots\n\nparameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Initialise the model and the data collector","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"T = 20\nmodel = Bit.init_model(parameters, initial_conditions, T);\nnothing #hide","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Simulate the model for T quarters","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"data_vec_baseline = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Now, apply a shock to the model and simulate it again. A shock is simply a function that takes the model and changes some of its parameters for a specific time period.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"In this case, let's define an interest rate shock that sets the interest rate for a number of epochs.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"We do this by first defining a \"struct\" with some useful attributes","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"struct CustomShock\n rate::Float64 # target rate for the first 10 epochs\n final_time::Int # number of epochs for the shock\nend","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"and then by making the struct a callable function that changes the interest rate in the model, this is done in Julia using the syntax below","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"function (s::CustomShock)(model::Bit.Model)\n if model.agg.t <= s.final_time\n model.cb.r_bar = s.rate\n end\nend","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Now we define a specific shock with a rate of 0.01 for the first 10 epochs, and run a shocked simulation","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"custom_shock = CustomShock(0.0, 10)\ndata_vec_shocked = Bit.run_n_sims(model, 4; shock = custom_shock)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Finally, we can plot baseline and shocked simulations","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Te = T + 1\nStatsPlots.errorline(\n 1:Te,\n data_vec_baseline.real_gdp,\n errortype = :sem,\n label = \"baseline\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)\nStatsPlots.errorline!(\n 1:Te,\n data_vec_shocked.real_gdp,\n errortype = :sem,\n label = \"shock\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, we can simply re-import the function central_bank_rate.","category":"page"},{"location":"api.html","page":"API","title":"API","text":"CurrentModule = BeforeIT ","category":"page"},{"location":"api.html","page":"API","title":"API","text":"Pages = [\"api.md\"]","category":"page"},{"location":"api.html#Code-reference","page":"API","title":"Code reference","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"In this page we document the functions which constitute the bulk of BeforeIT.jl functionality.","category":"page"},{"location":"api.html#Agent-types","page":"API","title":"Agent types","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"agents.jl\"]","category":"page"},{"location":"api.html#BeforeIT.Aggregates","page":"API","title":"BeforeIT.Aggregates","text":"This is a Aggregates type. It is used to store the aggregate variables of the economy. Note that t is an integer, while the rest are floats or vectors of floats.\n\nFields\n\nY [vector]: GDP data + predictions\npi_ [vector]: inflation data + predictions\nP_bar: Global price index\nP_bar_g [vector]: Producer price index for principal good g\nP_bar_HH: Consumer price index\nP_bar_CF: Capital price index\nP_bar_h: CPI_h\nP_bar_CF_h: Capital price index _h\nY_e: Expected GDP\ngamma_e: Expected growth\npi_e: Expected inflation\nt: Time index\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Bank","page":"API","title":"BeforeIT.Bank","text":"This is a Bank type. It represents the bank of the model.\n\nFields\n\nE_k: equity capital (common equity) of the bank\nPi_k: Profits of the bank\nPi_e_k: Expected profits of the bank\nD_k: Residual and balancing item on the bank’s balance sheet\nr: Rate for loans and morgages\n\nHousehold fields (bank' owner)\n\nY_h: Net disposable income of bank owner (investor)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\nK_h: Capital stock\nD_h: Deposits\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.CentralBank","page":"API","title":"BeforeIT.CentralBank","text":"This is a CentralBank type. It represents the central bank of the model.\n\nFields\n\nr_bar: Nominal interest rate\nr_G: Interest rate on government bonds\nrho: Parameter for gradual adjustment of the policy rate\nr_star: Real equilibrium interest rate\npi_star: Inflation target by CB\nxi_pi: Weight the CB puts on inflation targeting\nxi_gamma: Weight placed on economic\nE_CB: Central bank equity\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Firms","page":"API","title":"BeforeIT.Firms","text":"This is a Firms type. Each field is an array which stores the values for all the firms in the economy. Note that the G_i, N_i and V_i fields are integers, while the rest are floats.\n\nFor all fields the entry at index i corresponds to the ith firm.\n\nFields\n\nG_i: Principal product\nalpha_bar_i: Average productivity of labor\nbeta_i: Productivity of intermediate consumption\nkappa_i: Productivity of capital\nw_i: Wages\nw_bar_i: Average wage rate\ndelta_i: Depreciation rate for capital\ntau_Y_i: Net tax rate on products\ntau_K_i: Net tax rate on production\nN_i: Number of persons employed\nY_i: Production of goods\nQ_i: Sales of goods\nQ_d_i: Demand for goods\nP_i: Price\nS_i: Inventories\nK_i: Capital, in real terms\nM_i: Intermediate goods/services and raw materials, in real terms\nL_i: Outstanding loans\npi_bar_i: Operating margin\nD_i: Deposits of the firm\nPi_i: Profits\nV_i: Vacancies\nI_i: Investments\nE_i: Equity\nP_bar_i: Price index\nP_CF_i: Price index\nDS_i: Differnece in stock of final goods\nDM_i: Difference in stock of intermediate goods\nDL_i: Obtained loans\nDL_d_i: Target loans\nK_e_i: Expected capital \nL_e_i: Expected loans\nQ_s_i: Expected sales\nI_d_i: Desired investments\nDM_d_i: Desired materials\nN_d_i: Desired employment\nPi_e_i: Expected profits\n\nHousehold fields (firms' owners)\n\nY_h: Net disposable income of firm owner (investor)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\nK_h: Capital stock\nD_h: Deposits of the owner of the firms\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Government","page":"API","title":"BeforeIT.Government","text":"This is a Government type. It represents the government of the model.\n\nFields\n\nalpha_G: Autoregressive coefficient for government consumption\nbeta_G: Scalar constant for government consumption\nsigma_G: Variance coefficient for government consumption\nY_G: Government revenues\nC_G: Consumption demand of the general government\nL_G: Loans taken out by the government\nsb_inact: Social benefits for inactive persons\nsb_other: Social benefits for all\nC_d_j [vector]: Local governments consumption demand\nC_j: Realised government consumption\nP_j: Price inflation of government goods <- ??\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Model","page":"API","title":"BeforeIT.Model","text":"This is a Model type. It is used to store all the agents of the economy.\n\nFields\n\nw_act: Workers that are active\nw_inact: Workers that are inactive\nfirms: Firms\nbank: Bank\ncb: CentralBank\ngov: Government\nrotw: RestOfTheWorld\nagg: Aggregates\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.RestOfTheWorld","page":"API","title":"BeforeIT.RestOfTheWorld","text":"This is a RestOfTheWorld type. It represents the rest of the world of the model.\n\nFields\n\nalpha_E: Autoregressive coefficient for exports\nbeta_E: Scalar constant for exports\nsigma_E: Variance coefficient for exports\nalpha_I: Autoregressive coefficient for imports\nbeta_I: Scalar constant for imports\nsigma_I: Variance coefficient for imports\nY_EA: GDP euro area\ngamma_EA: Growth euro area\npi_EA: Inflation euro area\nalpha_pi_EA: Autoregressive coefficient for euro area inflation\nbeta_pi_EA: Autoregressive coefficient for euro area inflation Scalar constant for euro area inflation\nsigma_pi_EA: Variance coefficient for euro area inflation\nalpha_Y_EA: Autoregressive coefficient for euro area GDP\nbeta_Y_EA: Autoregressive coefficient for euro area GDP Scalar constant for euro area GDP\nsigma_Y_EA: Variance coefficient for euro area GDP\nD_RoW: Net creditor/debtor position of the national economy to the rest of the world\nY_I: Supply of imports (in real terms)\nC_E: Total demand for exports\nC_d_l [vector]: Demand for exports of specific product\nC_l: Realised consumption by foreign consumers\nY_m [vector]: Supply of imports per sector\nQ_m [vector]: Sales for imports per sector\nQ_d_m [vector]: Demand for goods\nP_m [vector]: Price of imports per sector\nP_l: Price inflation of exports <- ??\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Workers","page":"API","title":"BeforeIT.Workers","text":"This is a Workers. Each field is an array which stores the values for all the workers in the economy. Note that the O_h field is an integer, while the rest are floats.\n\nFor all fields the entry at index i corresponds to the ith worker.\n\nFields\n\nY_h: Net disposable income of worker owner (investor)\nD_h: Deposits\nK_h: Capital stock\nw_h: Wages (0 if inactive or unemployed)\nO_h: Occupation (0 if unemployed, -1 if inactive)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\n\n\n\n\n\n","category":"type"},{"location":"api.html#Initialisation-function","page":"API","title":"Initialisation function","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"init.jl\"]","category":"page"},{"location":"api.html#BeforeIT.init_model","page":"API","title":"BeforeIT.init_model","text":"init_model(parameters, initial_conditions, T, typeInt = Int64, typeFloat = Float64)\n\nInitializes the model with given parameters and initial conditions.\n\nParameters:\n\nparameters: A dictionary containing the model parameters.\ninitial_conditions: A dictionary containing the initial conditions.\nT (integer): The time horizon of the model.\ntypeInt: (optional, default: Int64): The data type to be used for integer values.\ntypeFloat: (optional, default: Float64): The data type to be used for floating-point values.\n\nReturns:\n\nmodel::Model: The initialized model.\n\n\n\n\n\n","category":"function"},{"location":"api.html#BeforeIT.update_variables_with_totals!-Tuple{Model}","page":"API","title":"BeforeIT.update_variables_with_totals!","text":"update_variables_with_totals!(model::Model)\n\nUpdate the variables in the given model with some global quantities obtained from all agents. This is the last step in the initialization process and it must be performed after all agents have been initialized.\n\nArguments\n\nmodel::Model: The model object to update.\n\nReturns\n\nNothing\n\n\n\n\n\n","category":"method"},{"location":"api.html#Functions-to-run-an-entire-simulation","page":"API","title":"Functions to run an entire simulation","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"one_epoch.jl\", \"one_simulation.jl\"]","category":"page"},{"location":"api.html#BeforeIT.run_one_epoch!-Tuple{Any}","page":"API","title":"BeforeIT.run_one_epoch!","text":"run_one_epoch!(model; multi_threading = false)\n\nThis function simulates a single epoch the economic model, updating various components of the model based the interactions between different economic agents. It accepts a model object, which encapsulates the state for the simulation, and an optional boolean parameter multi_threading to enable or disable multi-threading.\n\nKey operations performed include:\n\nFinancial adjustments for firms and banks, including insolvency checks and profit calculations.\nEconomic expectations and adjustments, such as growth, inflation, and central bank rates.\nLabor and credit market operations, including wage updates and loan processing.\nHousehold economic activities, including consumption and investment budgeting.\nGovernment and international trade financial activities, including budgeting and trade balances.\nGeneral market matching and accounting updates to reflect changes in economic indicators and positions.\n\nThe function updates the model in-place and does not return any value.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.run_n_sims-Tuple{Any, Any}","page":"API","title":"BeforeIT.run_n_sims","text":"run_n_sims(model, n_sims; shock = NoShock(), multi_threading = true)\n\nA function that runs n_sims simulations in parallel with multiple threading and returns a vector of data objects of dimension n_sims.\n\nArguments\n\nmodel: The model configuration used to simulate.\nn_sims: The number of simulations to run in parallel.\n\nReturns\n\ndata_vector: A vector containing the data objects collected during each simulation.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.run_one_sim!-Tuple{Any}","page":"API","title":"BeforeIT.run_one_sim!","text":"run_one_sim!(model; shock = NoShock())\n\nRun a single simulation based on the provided model. The simulation runs for a number of epochs specified by model.prop.T.\n\nArguments\n\nmodel::Model: The model configuration used for the simulation.\n\nReturns\n\ndata::Data: The data collected during the simulation.\n\nDetails\n\nThe function initializes the data using BeforeIT.init_data(model), then iteratively updates the model and data for each epoch using BeforeIT.run_one_epoch!(model) and BeforeIT.update_data!(data, model) respectively.\n\nExample\n\n```julia model = BeforeIT.initializemodel(parameters, initialconditions, T) data = runonesim!(model)\n\n\n\n\n\n","category":"method"},{"location":"api.html#Firms-actions","page":"API","title":"Firms actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"firms.jl\"]","category":"page"},{"location":"api.html#BeforeIT.firms_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_deposits","text":"firms_deposits(firms, model)\n\nCalculate the new deposits of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nDD_i: Vector of new deposits\n\nThe new deposits DD_i are calculated as follows:\n\nDD_i = sales + labour_cost + material_cost + taxes_products + taxes_production + corporate_tax + dividend_payments + interest_payments + interest_received + investment_cost + new_credit + debt_installment\n\nwhere:\n\nsales = P_i * Q_i\nlabour_cost = (1 + tau_SIF) * w_i * N_i * P_bar_HH\nmaterial_cost = -DM_i * P_bar_i\ntaxes_products = -tau_Y_i * P_i * Y_i\ntaxes_production = -tau_K_i * P_i * Y_i\ncorporate_tax = -tau_FIRM * pos(Pi_i)\ndividend_payments = -theta_DIV * (1 - tau_FIRM) * pos(Pi_i)\ninterest_payments = -r * (L_i + pos(-D_i))\ninterest_received = r_bar * pos(D_i)\ninvestment_cost = -P_CF_i * I_i\nnew_credit = DL_i\ndebt_installment = -theta * L_i\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_equity","text":"firms_equity(firms, model)\n\nCalculate the equity of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nE_i: Vector of equity\n\nThe equity E_i is calculated as follows:\n\nE_i = D_i + M_i * sum(a_sg G_i * barP_g) + P_i * S_i + barP_CF * K_i - L_i\n\nwhere:\n\nD_i: Deposits\nM_i: Intermediate goods\na_sg: Technology coefficient of the gth product in the sth industry\nG_i: Vector of goods\nP_bar_g: Producer price index for principal good g\nP_i: Price\nS_i: Stock\nP_bar_CF: Capital price index\nK_i: Capital stock\nL_i: Loans\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_expectations_and_decisions-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_expectations_and_decisions","text":"firms_expectations_and_decisions(firms, model)\n\nCalculate the expectations and decisions of firms. That is: compute firm quantity, price, investment and intermediate-goods, employment decisions, expected profits, and desired/expected loans and capital.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nQ_s_i: Vector of desired quantities\nI_d_i: Vector of desired investments\nDM_d_i: Vector of desired intermediate goods\nN_d_i: Vector of desired employment\nPi_e_i: Vector of expected profits\nDL_d_i: Vector of desired new loans\nK_e_i: Vector of expected capital\nL_e_i: Vector of expected loans\nP_i: Vector of prices\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_loans-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_loans","text":"firms_loans(firms, model)\n\nCalculate the new loans of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nL_i: Vector of new loans\n\nThe new loans L_i are calculated as follows:\n\nL_i = (1 - theta) * L_i + DL_i\n\nwhere:\n\ntheta: Rate of repayment\nL_i: Loans\nDL_i: Acquired new loans\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_production-Tuple{AbstractFirms}","page":"API","title":"BeforeIT.firms_production","text":"firms_production(firms)\n\nCalculate the production of firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nY_i: Vector of production\n\nThe production Y_i is computed using a Leontief technology.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_profits-Tuple{AbstractFirms, Model}","page":"API","title":"BeforeIT.firms_profits","text":"firms_profits(firms, model)\n\nCalculate the profits of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nPi_i: Vector of profits\n\nThe profits Pi_i are calculated as follows:\n\nPi_i = in_sales + in_deposits - out_wages - out_expenses - out_depreciation - out_taxes_prods - out_taxes_capital - out_loans\n\nwhere:\n\nin_sales = P_i * Q_i + P_i * DS_i\nin_deposits = r_bar * pos(D_i)\nout_wages = (1 + tau_SIF) * w_i * N_i * P_bar_HH\nout_expenses = 1 / beta_i * P_bar_i * Y_i\nout_depreciation = delta_i / kappa_i * P_CF_i * Y_i\nout_taxes_prods = tau_Y_i * P_i * Y_i\nout_taxes_capital = tau_K_i * P_i * Y_i\nout_loans = r * (L_i + pos(-D_i))\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_stocks-Tuple{Any}","page":"API","title":"BeforeIT.firms_stocks","text":"firms_stocks(firms)\n\nCalculate the stocks of firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nK_i: Vector of capital stock\nM_i: Vector of intermediate goods\nDS_i: Vector of differneces in stock of final goods\nS_i: Vector of stock of final goods\n\nThe stocks are calculated as follows:\n\nK_i = K_i - delta_i / kappa_i * Y_i + I_i\nM_i = M_i - Y_i / beta_i + DM_i\nDS_i = Y_i - Q_i\nS_i = S_i + DS_i\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_wages-Tuple{AbstractFirms}","page":"API","title":"BeforeIT.firms_wages","text":"firms_wages(firms)\n\nCalculate the wages set by firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nw_i: Vector of wages\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.init_firms-Tuple{Any, Any}","page":"API","title":"BeforeIT.init_firms","text":"init_firms(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)\n\nInitialize firms with given parameters and initial conditions.\n\nArguments\n\nparameters: The parameters for initializing the firms.\ninitial_conditions: The initial conditions for the firms.\ntypeInt: (optional) The integer type to be used. Default is Int64.\ntypeFloat: (optional) The floating-point type to be used. Default is Float64.\n\nReturns\n\nfirms::Firms: The initialized firms.\nfirms_args::Tuple: The arguments used to initialize the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.leontief_production-NTuple{7, Any}","page":"API","title":"BeforeIT.leontief_production","text":"leontief_production(Q_s_i, N_i, alpha_i, K_i, kappa_i, M_i, beta_i)\n\nCalculate the production function of firms.\n\nArguments\n\nQ_s_i: Vector of desired quantities\nN_i: Vector of employment\nalpha_i: Vector of labour productivity\nK_i: Vector of capital stock\nkappa_i: Vector of capital productivity\nM_i: Vector of intermediate goods\nbeta_i: Vector of intermediate goods productivity\n\nReturns\n\nY_i: Vector of production\n\nThe Leontief production function Y_i is calculated as follows:\n\nY_i = min(Q_s_i min(N_i cdot alpha_i min(K_i cdot kappa_i M_i cdot beta_i)))\n\n\n\n\n\n","category":"method"},{"location":"api.html#Households-actions","page":"API","title":"Households actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"households.jl\"]","category":"page"},{"location":"api.html#Government-actions","page":"API","title":"Government actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"government.jl\"]","category":"page"},{"location":"api.html#BeforeIT.gov_expenditure-Tuple{Any, Any}","page":"API","title":"BeforeIT.gov_expenditure","text":"gov_expenditure(gov::AbstractGovernment, model)\n\nComputes government expenditure on consumption and transfers to households.\n\nArguments\n\ngov: government object\nmodel: model object\n\nReturns\n\nC_G: government consumption\nC_d_j: local government consumptions\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_loans-Tuple{Any, Any}","page":"API","title":"BeforeIT.gov_loans","text":"gov_loans(gov::AbstractGovernment, model, Y_G)\n\nComputes government new government debt.\n\nArguments\n\ngov::AbstractGovernment: government object\nmodel: model object\n\nReturns\n\nL_G: new government debt\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_revenues-Tuple{Model}","page":"API","title":"BeforeIT.gov_revenues","text":"gov_revenues(model)\n\nComputes government revenues from taxes and social security contributions. The government collects taxes on labour income, capital income, value added, and corporate income. It also collects social security contributions from workers and firms. The government also collects taxes on consumption and capital formation. Finally, the government collects taxes on exports and imports.\n\nArguments\n\nmodel: model object\n\nReturns\n\nY_G: government revenues\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_social_benefits-Tuple{AbstractGovernment, Any}","page":"API","title":"BeforeIT.gov_social_benefits","text":"gov_social_benefits(gov::AbstractGovernment, model)\n\nComputes social benefits paid by the government households.\n\nArguments\n\ngov: government object\nmodel: model object\n\nReturns\n\nsb_other: social benefits for other households\nsb_inact: social benefits for inactive households\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.init_government-Tuple{Any, Any}","page":"API","title":"BeforeIT.init_government","text":"init_government(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)\n\nInitialize the government agent.\n\nArguments\n\nparameters: The parameters.\ninitial_conditions: The initial conditions.\ntypeInt: The integer type to be used (default: Int64).\ntypeFloat: The floating-point type to be used (default: Float64).\n\nReturns\n\nThe initialized government model.\nThe arguments used to initialize the government model.\n\n\n\n\n\n","category":"method"},{"location":"api.html#Bank-and-Central-Bank-actions","page":"API","title":"Bank and Central Bank actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"bank.jl\"]","category":"page"},{"location":"api.html#BeforeIT._bank_deposits-NTuple{7, Any}","page":"API","title":"BeforeIT._bank_deposits","text":"_deposit_bank(waD_h, wiD_h, fD_h, bD_h, fD_i, bE_k, fL_i)\n\nHelper function to calculate the new deposits of a bank.\n\nArguments\n\nwaD_h: Array of deposits from active workers\nwiD_h: Array of deposits from inactive workers\nfD_h: Array of deposits from firms\nbD_h: Deposits from the bank owner\nfD_i: Array of deposits from firms\nbE_k: Bank equity\nfL_i: Array of loans to firms\n\nReturns\n\nD_k: New deposits of the bank\n\nThe new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT._bank_profits-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractVector{T}, AbstractVector{T}, T, T, T}} where T","page":"API","title":"BeforeIT._bank_profits","text":"_bank_profits(L_i, D_i, D_h, D_k, r_bar, r)\n\nHelper function to calculate the total profits of a bank.\n\nArguments\n\nL_i: Array of loans provided by the bank\nD_i: Array of deposits from firms\nD_h: Array of deposits from households\nD_k: Residual and balancing item on the bank’s balance sheet\nr_bar: Base interest rate\nr: Interest rate set by the bank\n\nReturns\n\nPi_k: Total profits of the bank\n\nThe total profits Pi_k are calculated as follows:\n\nPi_k = r cdot sum_i(L_i + max(0 -D_i)) + r cdot sum_h(max(0 -D_h)) + r_bar \ncdot max(0 D_k) - r_bar cdot sum_i(max(0 D_i)) - r_bar cdot \nsum_h(max(0 D_h)) - r_bar cdot max(0 -D_k)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT._central_bank_profits-NTuple{4, Any}","page":"API","title":"BeforeIT._central_bank_profits","text":"_central_bank_profits(r_bar, D_k, L_G, r_G)\n\nHelper function to calculate the profits of a central bank.\n\nArguments\n\nr_bar: The base interest rate\nD_k: Deposits from commercial banks\nL_G: Loans provided to the government\nr_G: Interest rate on government loans\n\nReturns\n\nPi_CB: Profits of the central bank\n\nThe profits Pi_CB are calculated as follows:\n\nPi_CB = r_G cdot L_G - r_bar cdot D_k\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_deposits","text":"deposits_bank(bank, w_act, w_inact, firms)\n\nCalculate the new deposits of a bank.\n\nArguments\n\nbank: The Bank object containing the bank of the model\nw_act: The Workers object containing the active workers of the model\nw_inact: The Workers object containing the inactive workers of the model\nfirms: The Firms object containing the firms of the model\n\nReturns\n\nD_k: New deposits of the bank\n\nThe new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_equity","text":"bank_equity(bank, model)\n\nCalculate the net profits of a bank.\n\nArguments\n\nbank: The bank object.\nmodel: The model object.\n\nReturns\n\nE_k: The updated equity of the bank.\n\nThe net profits DE_k are calculated as:\n\nDE_k = Pi_k - theta_DIV cdot (1 - tau_FIRM) cdot max(0 Pi_k) - tau_FIRM cdot max(0 Pi_k)\n\nand the equity E_k is updated as:\n\nE_k = E_k + DE_k\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_expected_profits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_expected_profits","text":"bank_expected_profits(Pi_k, pi_e, gamma_e)\n\nCalculate the expected profits of a bank.\n\nArguments\n\nPi_k: Past profits of the bank\npi_e: Expected inflation rate\ngamma_e: Expected growth rate\n\nReturns\n\nE_Pi_k: Expected profits of the bank\n\nThe expected profits E_Pi_k are calculated as follows:\n\nE_Pi_k = Pi_k cdot (1 + pi_e) cdot (1 + gamma_e)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_profits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_profits","text":"bank_profits(bank, model)\n\nCalculate the total profits of a bank.\n\nArguments\n\nbank: The bank object.\nmodel: The model object.\n\nReturns\n\nPi_k: The total profits of the bank.\n\nThe total profits Pi_k are calculated as:\n\nPi_k = r cdot sum_i(L_i + max(0 -D_i)) + r cdot sum_h(max(0 -D_h)) + r_bar\ncdot max(0 D_k) - r_bar cdot sum_i(max(0 D_i)) - r_bar cdot\nsum_h(max(0 D_h)) - r_bar cdot max(0 -D_k)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_rate-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_rate","text":"bank_rate(bank, model)\n\nUpdate the interest rate set by the bank.\n\nArguments\n\nbank: The bank whose interest rate is to be updated\nmodel: Model object\n\nReturns\n\nr: The updated interest rate\n\nr = barr + mu\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.central_bank_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.central_bank_equity","text":"central_bank_equity(cb, model)\n\nCalculate the equity of the central bank.\n\nArguments\n\ncb: The central bank\nmodel: The model object\n\nReturns\n\nE_CB: The equity of the central bank\n\nThe equity E_CB is calculated as follows:\n\nE_CB = E_CB + Pi_CB\n\nwhere \\Pi_{CB} are the profits of the central bank.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.central_bank_rate-Tuple{AbstractCentralBank, Model}","page":"API","title":"BeforeIT.central_bank_rate","text":"central_bank_rate(cb, model)\n\nUpdate the base interest rate set by the central bank according to the Taylor rule.\n\nArguments\n\ncb: The central bank whose base interest rate is to be updated\nmodel: The model object\n\nReturns\n\nr_bar: The updated base interest rate\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.finance_insolvent_firms!-Tuple{AbstractFirms, AbstractBank, Any}","page":"API","title":"BeforeIT.finance_insolvent_firms!","text":"finance_insolvent_firms!(firms, bank, P_bar_CF, zeta_b, insolvent)\n\nRifinance insolvent firms using bank equity.\n\nArguments\n\nfirms: The Firms object containing the firms of the model\nbank: The Bank object containing the bank of the model\nP_bar_CF: Capital price index\nzeta_b: Parameter of loan-to-capital ratio for new firms after bankruptcy\n\nReturns\n\nThis function does not return a value. It modifies the banks and firms collections in-place.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.taylor_rule-Union{Tuple{T}, NTuple{8, T}} where T","page":"API","title":"BeforeIT.taylor_rule","text":"taylor_rule(rho, r_bar, r_star, pi_star, xi_pi, xi_gamma, gamma_EA, pi_EA)\n\nCalculate the interest rate according to the Taylor rule.\n\nArguments\n\nrho: Parameter for gradual adjustment of the policy rate.\nr_bar: Nominal interest rate.\nr_star: Real equilibrium interest rate.\npi_star: The target inflation rate.\nxi_pi: Weight the CB puts on inflation targeting.\nxi_gamma: Weight placed on economic growth.\ngamma_EA: The output growth rate.\npi_EA: The inflation rate.\n\nReturns\n\nrate: The calculated interest rate.\n\nThe Taylor rule is given by the following equation:\n\nr_t = ρ * r_t-1 + (1 - ρ) * (r^* + π^* + ξ_π * (π_t - π^*) + ξ_γ * γ_t)\n\n\n\n\n\n","category":"method"},{"location":"api.html#Rest-Of-The-World-actions","page":"API","title":"Rest Of The World actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"rotw.jl\"]","category":"page"},{"location":"api.html#BeforeIT.rotw_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.rotw_deposits","text":"rotw_deposits(rotw, tau_EXPORT)\n\nCalculate the deposits of the rest of the world.\n\nArguments\n\nrotw: The rest of the world object.\ntau_EXPORT: The export tax.\n\nReturns\n\nD_RoW: The deposits of the rest of the world.\n\nThe deposits D_RoW are calculated as follows:\n\nD_RoW = D_RoW + left( sum_m P_m cdot Q_m right) - (1 + tau_EXPORT) cdot C_l\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.rotw_import_export-Tuple{Any, Any}","page":"API","title":"BeforeIT.rotw_import_export","text":"rotw_import_export(rotw, model, pi_e, epsilon_E, epsilon_I)\n\nCalculate the demand for exports and supply of imports of the rest of the world.\n\nArguments\n\nrotw: The rest of the world object.\nmodel: The model object.\n\nReturns\n\nC_E: Total demand for exports.\nY_I: Supply of imports (in real terms).\nC_d_l: TDemand for exports of specific product.\nY_m: Supply of imports per sector.\nP_m: Price of imports per sector.\n\n\n\n\n\n","category":"method"},{"location":"api.html#Markets","page":"API","title":"Markets","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"search_and_matching_credit.jl\", \"search_and_matching_labour.jl\", \"search_and_matching.jl\"]","category":"page"},{"location":"api.html#BeforeIT.search_and_matching_credit-Tuple{AbstractFirms, Any}","page":"API","title":"BeforeIT.search_and_matching_credit","text":"search_and_matching_credit(firms::Firms, model)\n\nThis function calculates the credit allocation for each firm in the given firms object.\n\nParameters:\n\nfirms::Firms: The firms object.\nmodel: The model object.\n\nReturns:\n\nDL_i: An array of credit allocations for each firm.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.search_and_matching_labour-Tuple{AbstractFirms, Any}","page":"API","title":"BeforeIT.search_and_matching_labour","text":"search_and_matching_labour(firms::Firms, model)\n\nThis function implements a labor search and matching algorithm. It takes in a Firms object and a Model object as input. The Firms object contains information about the number of desired employees (N_d_i) and the current number of employees (N_i) for each firm. The model object contains information about the current employment status (O_h) of each worker.\n\nThe function performs the following steps:\n\nCalculates the vacancies (V_i) for each firm as the difference between desired and current employees.\nIdentifies employed workers and shuffles them randomly.\nFires workers from firms with negative vacancies to adjust the workforce.\nIdentifies unemployed workers and firms with positive vacancies.\nRandomly matches unemployed workers to firms with vacancies until all vacancies are filled or there are no more unemployed workers.\n\nThe function returns:\n\nN_i: An updated array of the number of employed workers for each firm.\nO_h: An updated array where each element represents the firm a worker is employed with (0 if unemployed).\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.perform_firms_market!-NTuple{15, Any}","page":"API","title":"BeforeIT.perform_firms_market!","text":"Perform the firms market exchange process\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.perform_retail_market!-NTuple{31, Any}","page":"API","title":"BeforeIT.perform_retail_market!","text":"Perform the retail market exchange process\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.search_and_matching!","page":"API","title":"BeforeIT.search_and_matching!","text":"search_and_matching!(model, multi_threading::Bool = false)\n\nThis function performs a search and matching algorithm for firms and for retail markets. It takes in a model object and an optional boolean argument for multi-threading. The function loops over all goods and performs the firms market and retail market operations for each good. Finally, it updates the aggregate variables based on the results of markets.\n\nArgs:\n\nmodel: The model object\nmulti_threading: A boolean indicating whether to use multi-threading for the algorithm. Default is false.\n\nThis function updates the model in-place and does not return any value.\n\n\n\n\n\n","category":"function"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"EditURL = \"../../../examples/basic_example.jl\"","category":"page"},{"location":"examples/basic_example.html#Essential-use-of-BeforeIT","page":"Essentials","title":"Essential use of BeforeIT","text":"","category":"section"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We start by importing the BeforeIT library and other useful libraries.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"import BeforeIT as Bit\nusing FileIO, Plots","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We then initialise the model loading some precomputed set of parameters and by specifying a number of epochs. In another tutorial we will illustrate how to compute parameters and initial conditions.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"parameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can now initialise the model, by specifying in advance the maximum number of epochs.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"T = 16\nmodel = Bit.init_model(parameters, initial_conditions, T)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that the it is very simple to inspect the model by typing","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"fieldnames(typeof(model))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"and to inspect the specific attributes of one agent type by typing","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"fieldnames(typeof(model.bank))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can now define a data tracker, which will store the time series of the model.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"data = Bit.init_data(model);\nnothing #hide","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can run now the model for a number of epochs and progressively update the data tracker.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"for t in 1:T\n Bit.run_one_epoch!(model; multi_threading = true)\n Bit.update_data!(data, model)\nend","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that we can equivalently run the model for a number of epochs in the single command data = BeforeIT.run_one_sim!(model), but writing the loop explicitely is more instructive.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can then plot any time series stored in the data tracker, for example","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"plot(data.real_gdp, title = \"gdp\", titlefont = 10)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Or we can plot multiple time series at once using the function plot_data","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"ps = Bit.plot_data(data, quantities = [:real_gdp, :real_household_consumption, :real_government_consumption, :real_capitalformation, :real_exports, :real_imports, :wages, :euribor, :gdp_deflator])\nplot(ps..., layout = (3, 3))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"To run multiple monte-carlo repetitions in parallel we can use","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"model = Bit.init_model(parameters, initial_conditions, T)\ndata_vector = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that this will use the number of threads specified when activating the Julia environment. To discover the number of threads available, you can use the command","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Threads.nthreads()","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"To activate Julia with a specific number of threads, say 8, you can use the command julia -t 8 in the terminal.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can then plot the results of the monte-carlo repetitions using the function plot_data_vector","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"ps = Bit.plot_data_vector(data_vector)\nplot(ps..., layout = (3, 3))","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"EditURL = \"../../../examples/change_expectations.jl\"","category":"page"},{"location":"examples/change_expectations.html#Changing-expectations-via-function-overloading","page":"Experimentations (advanced)","title":"Changing expectations via function overloading","text":"","category":"section"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"In this tutorial we will illustrate how to experiment with different expectations of the agents in the model.","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"import BeforeIT as Bit\nusing Random, Plots","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Import standard parameters and initial conditions","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"par = Bit.AUSTRIA2010Q1.parameters\ninit = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Set the seed, initialise the model and run one simulation","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Random.seed!(1234)\nT = 40\nmodel = Bit.init_model(par, init, T)\ndata = Bit.run_one_sim!(model)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Now we can experiment with changing expectations of the agents in the model. We will change the function estimate_next_value to make the agents expect the last value of the time series (so to represent backward looking expectations)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"import BeforeIT: estimate_next_value\nfunction estimate_next_value(data)\n return data[end]\nend","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Run the model again, with the same seed","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Random.seed!(1234)\nmodel = Bit.init_model(par, init, T)\ndata_back = Bit.run_one_sim!(model)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Plot the results, comparing the two cases as different lines","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"p1 = plot(data.real_gdp, title = \"gdp\", titlefont = 10, label = \"forward looking\")\nplot!(p1, data_back.real_gdp, titlefont = 10, label = \"backward looking\")\n\np2 = plot(data.real_household_consumption, title = \"consumption\", titlefont = 10)\nplot!(p2, data_back.real_household_consumption, titlefont = 10, label = \"backward looking\")\n\nplot(p1, p2, layout = (2, 1), legend = true)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Plot all time series","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"p1 = plot(data.real_gdp, title = \"gdp\", titlefont = 10)\nplot!(p1, data_back.real_gdp, titlefont = 10)\np2 = plot(data.real_household_consumption, title = \"household cons.\", titlefont = 10)\nplot!(p2, data_back.real_household_consumption, titlefont = 10)\np3 = plot(data.real_government_consumption, title = \"gov. cons.\", titlefont = 10)\nplot!(p3, data_back.real_government_consumption, titlefont = 10)\np4 = plot(data.real_capitalformation, title = \"capital form.\", titlefont = 10)\nplot!(p4, data_back.real_capitalformation, titlefont = 10)\np5 = plot(data.real_exports, title = \"exports\", titlefont = 10)\nplot!(p5, data_back.real_exports, titlefont = 10)\np6 = plot(data.real_imports, title = \"imports\", titlefont = 10)\nplot!(p6, data_back.real_imports, titlefont = 10)\np7 = plot(data.wages, title = \"wages\", titlefont = 10)\nplot!(p7, data_back.wages, titlefont = 10)\np8 = plot(data.euribor, title = \"euribor\", titlefont = 10)\nplot!(p8, data_back.euribor, titlefont = 10)\np9 = plot(data.nominal_gdp ./ data.real_gdp, title = \"gdp deflator\", titlefont = 10)\nplot!(p9, data_back.nominal_gdp ./ data_back.real_gdp, titlefont = 10)\n\nplot(p1, p2, p3, p4, p5, p6, p7, p8, p9, layout = (3, 3), legend = false)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Note that, importantly, once the function estimate_next_value has been changed, the model will use the new expectations in all the simulations, unless the function is changed again. To restore the original expectations you could close the Julia session.","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"EditURL = \"../../../examples/scenario_analysis_via_overload.jl\"","category":"page"},{"location":"examples/scenario_analysis_via_overload.html#Scenario-analysis-via-function-overloading","page":"Shocked simulations (advanced)","title":"Scenario analysis via function overloading","text":"","category":"section"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"import BeforeIT as Bit\nusing Plots, StatsPlots\n\nparameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Initialise the model and the data collector","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"T = 20\nmodel = Bit.init_model(parameters, initial_conditions, T);\ndata = Bit.init_data(model);\nnothing #hide","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Simulate the model for T quarters","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"data_vec_baseline = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Now, apply a shock to the model and simulate it again Here, we do this by overloading the centralbankrate function with the wanted behaviour","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"import BeforeIT: central_bank_rate\n\nfunction central_bank_rate(cb::Bit.CentralBank, model::Bit.Model)\n gamma_EA = model.rotw.gamma_EA\n pi_EA = model.rotw.pi_EA\n taylor_rate = Bit.taylor_rule(cb.rho, cb.r_bar, cb.r_star, cb.pi_star, cb.xi_pi, cb.xi_gamma, gamma_EA, pi_EA)\n if model.agg.t < 10\n return 0.01\n else\n return taylor_rate\n end\nend\n\ndata_vec_shocked = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Finally, we can plot baseline and shocked simulations","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Te = T + 1\nStatsPlots.errorline(\n 1:Te,\n data_vec_baseline.real_gdp,\n errortype = :sem,\n label = \"baseline\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)\nStatsPlots.errorline!(\n 1:Te,\n data_vec_shocked.real_gdp,\n errortype = :sem,\n label = \"shock\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, you could close and restart the Julia session.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"EditURL = \"../../../examples/get_parameters_and_initial_conditions.jl\"","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"In this tutorial we illustrate how to calibrate the model to the Italian data for a specific quarter","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"import BeforeIT as Bit\nusing Dates, FileIO","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"We start from loading the calibration object for italy, which contains 4 datasets: calibration_data, figaro, data, and ea. These are saved within BeforeIT.jl for the Italian case, and would need to be appropriately generated for other countries.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"cal = Bit.ITALY_CALIBRATION\nfieldnames(typeof(cal))","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"These are essentially 4 dictionaries with well defined keys, such as","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"println(keys(cal.calibration))\nprintln(keys(cal.figaro))\nprintln(keys(cal.data))\nprintln(keys(cal.ea))","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"The object also contains two time variables related to the data","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"println(cal.max_calibration_date)\nprintln(cal.estimation_date)","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"We can calibrate the model on a specific quarter as follows","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"calibration_date = DateTime(2010, 03, 31)\nparameters, initial_conditions = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.01)","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"In general, we might want to repeat this operation for multiple quarters. In the following, we loop over all quarters from 2010Q1 to 2019Q4 and save the parameters and initial conditions in separate files. We can then load these files later to run the model for each quarter.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"start_calibration_date = DateTime(2010, 03, 31)\nend_calibration_date = DateTime(2019, 12, 31)\n\nfor calibration_date in collect(start_calibration_date:Dates.Month(3):end_calibration_date)\n params, init_conds = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.0005)\n save(\n \"data/italy/parameters/\" *\n string(year(calibration_date)) *\n \"Q\" *\n string(Dates.quarterofyear(calibration_date)) *\n \".jld2\",\n params,\n )\n save(\n \"data/italy/initial_conditions/\" *\n string(year(calibration_date)) *\n \"Q\" *\n string(Dates.quarterofyear(calibration_date)) *\n \".jld2\",\n init_conds,\n )\nend","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"CurrentModule = BeforeIT ","category":"page"},{"location":"index.html#Behavioural-agent-based-economic-forecasting-in-Julia","page":"Home","title":"Behavioural agent-based economic forecasting in Julia","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Welcome to BeforeIT.jl, a Julia implementation of the agent-based model presented in Economic forecasting with an agent-based model, the first ABM matching the performance of traditional economic forecasting tools.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"With BeforeIT.jl, you can perform economic forecasting and explore different counterfactual scenarios. Thanks to its modular design, the package is also a great starting point for anyone looking to extend its capabilities or integrate it with other tools.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"Developed in Julia, a language known for its efficiency, BeforeIT.jl is both fast and user-friendly, making it accessible whether you’re an expert programmer or just starting out.","category":"page"},{"location":"index.html#Julia-installation","page":"Home","title":"Julia installation","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To run this software, you will need a working Julia installation on your machine. If you don't have it installed already, simply follow the short instructions available here.","category":"page"},{"location":"index.html#BeforeIT.jl-Installation","page":"Home","title":"BeforeIT.jl Installation","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To install BeforeIT.jl, simply open a Julia REPL by writing julia in your terminal, and then execute the following","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg\nPkg.add(\"BeforeIT\")","category":"page"},{"location":"index.html#Quick-example","page":"Home","title":"Quick example","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To check that the installation worked, try running the model in your terminal following","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using BeforeIT\n\nparameters = BeforeIT.AUSTRIA2010Q1.parameters\ninitial_conditions = BeforeIT.AUSTRIA2010Q1.initial_conditions\n\nT = 20\nmodel = BeforeIT.initialise_model(parameters, initial_conditions, T)\ndata = BeforeIT.run_one_sim!(model)","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"To plot the results of the simulation, you can use the Plots package","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Plots\n\nplot(data.real_gdp)","category":"page"},{"location":"index.html#License","page":"Home","title":"License","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"BeforeIT.jl is released under the GNU Affero General Public License v3 or later (AGPLv3+).","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"Copyright 2024 - Banca d'Italia and the authors.","category":"page"},{"location":"index.html#Main-developers-and-maintainers","page":"Home","title":"Main developers and maintainers","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Aldo Glielmo \nMitja Devetak \nAdriano Meligrana ","category":"page"},{"location":"index.html#Other-collaborators-and-contributors","page":"Home","title":"Other collaborators and contributors","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Sebastian Poledna \nMarco Benedetti\nSara Corbo for the logo design\nAndrea Gentili for suggesting the name of the pakege\nArnau Quera-Bofarull for help in the deployment of the documentation\nSteven Hoekstra for fixing a bug in a script","category":"page"},{"location":"index.html#Disclaimer","page":"Home","title":"Disclaimer","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"This package is an outcome of a research project. All errors are those of the authors. All views expressed are personal views, not those of Bank of Italy.","category":"page"},{"location":"index.html#Reproducibility","page":"Home","title":"Reproducibility","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"
The documentation of BeforeIT.jl was built using these direct dependencies,","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg # hide\nPkg.status() # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
and using this machine and Julia version.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using InteractiveUtils # hide\nversioninfo() # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
A more complete overview of all dependencies and their versions is also provided.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg # hide\nPkg.status(; mode = PKGMODE_MANIFEST) # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using TOML\nusing Markdown\nversion = TOML.parse(read(\"../../Project.toml\", String))[\"version\"]\nname = TOML.parse(read(\"../../Project.toml\", String))[\"name\"]\nlink_manifest = \"https://github.com/BeforeIT/\" * name * \".jl/tree/gh-pages/v\" * version *\n \"/assets/Manifest.toml\"\nlink_project = \"https://github.com/BeforeIT/\" * name * \".jl/tree/gh-pages/v\" * version *\n \"/assets/Project.toml\"\nMarkdown.parse(\"\"\"You can also download the\n[manifest]($link_manifest)\nfile and the\n[project]($link_project)\nfile.\n\"\"\")","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"EditURL = \"../../../examples/multithreading_speedup.jl\"","category":"page"},{"location":"examples/multithreading_speedup.html#Multithreading-speedup-for-large-models","page":"Multithreading within the model","title":"Multithreading speedup for large models","text":"","category":"section"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"In this tutorial we illustrate how to make use of multi threading in BeforeIT.jl to allow for faster executions of single simulation runs.","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"import BeforeIT as Bit\nusing FileIO, Plots, StatsPlots","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"First, we initialise the model, this time we use the Italy 2010Q1 scenario, and we want to simulate the model for a large number of epochs","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"parameters = Bit.ITALY2010Q1.parameters\ninitial_conditions = Bit.ITALY2010Q1.initial_conditions\nT = 50\nmodel = Bit.init_model(parameters, initial_conditions, T);\nnothing #hide","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"The model is in scale 1:2000, so it has around 30,000 households","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"model.prop.H","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Note that the households number is actually the sum of active and inactive households, the owners of firms and of the bank","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"length(model.w_act) + length(model.w_inact) + length(model.firms) + 1","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Let's fist check how many threads we have available in this Julia session","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Threads.nthreads()","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Then we need to first compile the code not to count compilation time, we can do that just by executing the function one time","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Bit.run_one_sim!(model; multi_threading = false);\nnothing #hide","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Let's now compare the performance of single threading and multi threading","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"model = Bit.init_model(parameters, initial_conditions, T);\n@time data = Bit.run_one_sim!(model; multi_threading = false);\n\nmodel = Bit.init_model(parameters, initial_conditions, T);\n@time data = Bit.run_one_sim!(model; multi_threading = true);\nnothing #hide","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Is the speedup in line to what we would expect? Yes!","category":"page"}] +} diff --git a/dev/siteinfo.js b/dev/siteinfo.js new file mode 100644 index 0000000..3343491 --- /dev/null +++ b/dev/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "dev"; diff --git a/index.html b/index.html new file mode 100644 index 0000000..1a6cc11 --- /dev/null +++ b/index.html @@ -0,0 +1,2 @@ + + diff --git a/previews/PR34/.documenter-siteinfo.json b/previews/PR34/.documenter-siteinfo.json new file mode 100644 index 0000000..c54e10a --- /dev/null +++ b/previews/PR34/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.7","generation_timestamp":"2024-11-28T23:04:00","documenter_version":"1.8.0"}} \ No newline at end of file diff --git a/previews/PR34/api.html b/previews/PR34/api.html new file mode 100644 index 0000000..ff5c6a2 --- /dev/null +++ b/previews/PR34/api.html @@ -0,0 +1,9 @@ + +API · BeforeIT.jl

Code reference

In this page we document the functions which constitute the bulk of BeforeIT.jl functionality.

Agent types

BeforeIT.AggregatesType

This is a Aggregates type. It is used to store the aggregate variables of the economy. Note that t is an integer, while the rest are floats or vectors of floats.

Fields

  • Y [vector]: GDP data + predictions
  • pi_ [vector]: inflation data + predictions
  • P_bar: Global price index
  • P_bar_g [vector]: Producer price index for principal good g
  • P_bar_HH: Consumer price index
  • P_bar_CF: Capital price index
  • P_bar_h: CPI_h
  • P_bar_CF_h: Capital price index _h
  • Y_e: Expected GDP
  • gamma_e: Expected growth
  • pi_e: Expected inflation
  • t: Time index
source
BeforeIT.BankType

This is a Bank type. It represents the bank of the model.

Fields

  • E_k: equity capital (common equity) of the bank
  • Pi_k: Profits of the bank
  • Pi_e_k: Expected profits of the bank
  • D_k: Residual and balancing item on the bank’s balance sheet
  • r: Rate for loans and morgages

Household fields (bank' owner)

  • Y_h: Net disposable income of bank owner (investor)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
  • K_h: Capital stock
  • D_h: Deposits
source
BeforeIT.CentralBankType

This is a CentralBank type. It represents the central bank of the model.

Fields

  • r_bar: Nominal interest rate
  • r_G: Interest rate on government bonds
  • rho: Parameter for gradual adjustment of the policy rate
  • r_star: Real equilibrium interest rate
  • pi_star: Inflation target by CB
  • xi_pi: Weight the CB puts on inflation targeting
  • xi_gamma: Weight placed on economic
  • E_CB: Central bank equity
source
BeforeIT.FirmsType

This is a Firms type. Each field is an array which stores the values for all the firms in the economy. Note that the G_i, N_i and V_i fields are integers, while the rest are floats.

For all fields the entry at index i corresponds to the ith firm.

Fields

  • G_i: Principal product
  • alpha_bar_i: Average productivity of labor
  • beta_i: Productivity of intermediate consumption
  • kappa_i: Productivity of capital
  • w_i: Wages
  • w_bar_i: Average wage rate
  • delta_i: Depreciation rate for capital
  • tau_Y_i: Net tax rate on products
  • tau_K_i: Net tax rate on production
  • N_i: Number of persons employed
  • Y_i: Production of goods
  • Q_i: Sales of goods
  • Q_d_i: Demand for goods
  • P_i: Price
  • S_i: Inventories
  • K_i: Capital, in real terms
  • M_i: Intermediate goods/services and raw materials, in real terms
  • L_i: Outstanding loans
  • pi_bar_i: Operating margin
  • D_i: Deposits of the firm
  • Pi_i: Profits
  • V_i: Vacancies
  • I_i: Investments
  • E_i: Equity
  • P_bar_i: Price index
  • P_CF_i: Price index
  • DS_i: Differnece in stock of final goods
  • DM_i: Difference in stock of intermediate goods
  • DL_i: Obtained loans
  • DL_d_i: Target loans
  • K_e_i: Expected capital
  • L_e_i: Expected loans
  • Q_s_i: Expected sales
  • I_d_i: Desired investments
  • DM_d_i: Desired materials
  • N_d_i: Desired employment
  • Pi_e_i: Expected profits

Household fields (firms' owners)

  • Y_h: Net disposable income of firm owner (investor)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
  • K_h: Capital stock
  • D_h: Deposits of the owner of the firms
source
BeforeIT.GovernmentType

This is a Government type. It represents the government of the model.

Fields

  • alpha_G: Autoregressive coefficient for government consumption
  • beta_G: Scalar constant for government consumption
  • sigma_G: Variance coefficient for government consumption
  • Y_G: Government revenues
  • C_G: Consumption demand of the general government
  • L_G: Loans taken out by the government
  • sb_inact: Social benefits for inactive persons
  • sb_other: Social benefits for all
  • C_d_j [vector]: Local governments consumption demand
  • C_j: Realised government consumption
  • P_j: Price inflation of government goods <- ??
source
BeforeIT.ModelType

This is a Model type. It is used to store all the agents of the economy.

Fields

  • w_act: Workers that are active
  • w_inact: Workers that are inactive
  • firms: Firms
  • bank: Bank
  • cb: CentralBank
  • gov: Government
  • rotw: RestOfTheWorld
  • agg: Aggregates
source
BeforeIT.RestOfTheWorldType

This is a RestOfTheWorld type. It represents the rest of the world of the model.

Fields

  • alpha_E: Autoregressive coefficient for exports
  • beta_E: Scalar constant for exports
  • sigma_E: Variance coefficient for exports
  • alpha_I: Autoregressive coefficient for imports
  • beta_I: Scalar constant for imports
  • sigma_I: Variance coefficient for imports
  • Y_EA: GDP euro area
  • gamma_EA: Growth euro area
  • pi_EA: Inflation euro area
  • alpha_pi_EA: Autoregressive coefficient for euro area inflation
  • beta_pi_EA: Autoregressive coefficient for euro area inflation Scalar constant for euro area inflation
  • sigma_pi_EA: Variance coefficient for euro area inflation
  • alpha_Y_EA: Autoregressive coefficient for euro area GDP
  • beta_Y_EA: Autoregressive coefficient for euro area GDP Scalar constant for euro area GDP
  • sigma_Y_EA: Variance coefficient for euro area GDP
  • D_RoW: Net creditor/debtor position of the national economy to the rest of the world
  • Y_I: Supply of imports (in real terms)
  • C_E: Total demand for exports
  • C_d_l [vector]: Demand for exports of specific product
  • C_l: Realised consumption by foreign consumers
  • Y_m [vector]: Supply of imports per sector
  • Q_m [vector]: Sales for imports per sector
  • Q_d_m [vector]: Demand for goods
  • P_m [vector]: Price of imports per sector
  • P_l: Price inflation of exports <- ??
source
BeforeIT.WorkersType

This is a Workers. Each field is an array which stores the values for all the workers in the economy. Note that the O_h field is an integer, while the rest are floats.

For all fields the entry at index i corresponds to the ith worker.

Fields

  • Y_h: Net disposable income of worker owner (investor)
  • D_h: Deposits
  • K_h: Capital stock
  • w_h: Wages (0 if inactive or unemployed)
  • O_h: Occupation (0 if unemployed, -1 if inactive)
  • C_d_h: Consumption budget
  • I_d_h: Investment budget
  • C_h: Realised consumption
  • I_h: Realised investment
source

Initialisation function

BeforeIT.init_modelFunction
init_model(parameters, initial_conditions, T, typeInt = Int64, typeFloat = Float64)

Initializes the model with given parameters and initial conditions.

Parameters:

  • parameters: A dictionary containing the model parameters.
  • initial_conditions: A dictionary containing the initial conditions.
  • T (integer): The time horizon of the model.
  • typeInt: (optional, default: Int64): The data type to be used for integer values.
  • typeFloat: (optional, default: Float64): The data type to be used for floating-point values.

Returns:

  • model::Model: The initialized model.
source
BeforeIT.update_variables_with_totals!Method
update_variables_with_totals!(model::Model)

Update the variables in the given model with some global quantities obtained from all agents. This is the last step in the initialization process and it must be performed after all agents have been initialized.

Arguments

  • model::Model: The model object to update.

Returns

  • Nothing
source

Functions to run an entire simulation

BeforeIT.run_one_epoch!Method
run_one_epoch!(model; multi_threading = false)

This function simulates a single epoch the economic model, updating various components of the model based the interactions between different economic agents. It accepts a model object, which encapsulates the state for the simulation, and an optional boolean parameter multi_threading to enable or disable multi-threading.

Key operations performed include:

  • Financial adjustments for firms and banks, including insolvency checks and profit calculations.
  • Economic expectations and adjustments, such as growth, inflation, and central bank rates.
  • Labor and credit market operations, including wage updates and loan processing.
  • Household economic activities, including consumption and investment budgeting.
  • Government and international trade financial activities, including budgeting and trade balances.
  • General market matching and accounting updates to reflect changes in economic indicators and positions.

The function updates the model in-place and does not return any value.

source
BeforeIT.run_n_simsMethod
run_n_sims(model, n_sims; shock = NoShock(), multi_threading = true)

A function that runs n_sims simulations in parallel with multiple threading and returns a vector of data objects of dimension n_sims.

Arguments

  • model: The model configuration used to simulate.
  • n_sims: The number of simulations to run in parallel.

Returns

  • data_vector: A vector containing the data objects collected during each simulation.
source
BeforeIT.run_one_sim!Method
run_one_sim!(model; shock = NoShock())

Run a single simulation based on the provided model. The simulation runs for a number of epochs specified by model.prop.T.

Arguments

  • model::Model: The model configuration used for the simulation.

Returns

  • data::Data: The data collected during the simulation.

Details

The function initializes the data using BeforeIT.init_data(model), then iteratively updates the model and data for each epoch using BeforeIT.run_one_epoch!(model) and BeforeIT.update_data!(data, model) respectively.

Example

```julia model = BeforeIT.initializemodel(parameters, initialconditions, T) data = runonesim!(model)

source

Firms actions

BeforeIT.firms_depositsMethod
firms_deposits(firms, model)

Calculate the new deposits of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • DD_i: Vector of new deposits

The new deposits DD_i are calculated as follows:

DD_i = sales + labour_cost + material_cost + taxes_products + taxes_production + corporate_tax + dividend_payments + interest_payments + interest_received + investment_cost + new_credit + debt_installment

where:

  • sales = P_i * Q_i
  • labour_cost = (1 + tau_SIF) * w_i * N_i * P_bar_HH
  • material_cost = -DM_i * P_bar_i
  • taxes_products = -tau_Y_i * P_i * Y_i
  • taxes_production = -tau_K_i * P_i * Y_i
  • corporate_tax = -tau_FIRM * pos(Pi_i)
  • dividend_payments = -theta_DIV * (1 - tau_FIRM) * pos(Pi_i)
  • interest_payments = -r * (L_i + pos(-D_i))
  • interest_received = r_bar * pos(D_i)
  • investment_cost = -P_CF_i * I_i
  • new_credit = DL_i
  • debt_installment = -theta * L_i
source
BeforeIT.firms_equityMethod
firms_equity(firms, model)

Calculate the equity of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • E_i: Vector of equity

The equity E_i is calculated as follows:

\[E_i = D_i + M_i * \sum(a_{sg}[:, G_i] * \bar{P}_g) + P_i * S_i + \bar{P}_{CF} * K_i - L_i\]

where:

  • D_i: Deposits
  • M_i: Intermediate goods
  • a_sg: Technology coefficient of the gth product in the sth industry
  • G_i: Vector of goods
  • P_bar_g: Producer price index for principal good g
  • P_i: Price
  • S_i: Stock
  • P_bar_CF: Capital price index
  • K_i: Capital stock
  • L_i: Loans
source
BeforeIT.firms_expectations_and_decisionsMethod
firms_expectations_and_decisions(firms, model)

Calculate the expectations and decisions of firms. That is: compute firm quantity, price, investment and intermediate-goods, employment decisions, expected profits, and desired/expected loans and capital.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • Q_s_i: Vector of desired quantities
  • I_d_i: Vector of desired investments
  • DM_d_i: Vector of desired intermediate goods
  • N_d_i: Vector of desired employment
  • Pi_e_i: Vector of expected profits
  • DL_d_i: Vector of desired new loans
  • K_e_i: Vector of expected capital
  • L_e_i: Vector of expected loans
  • P_i: Vector of prices
source
BeforeIT.firms_loansMethod
firms_loans(firms, model)

Calculate the new loans of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • L_i: Vector of new loans

The new loans L_i are calculated as follows:

\[L_i = (1 - theta) * L_i + DL_i\]

where:

  • theta: Rate of repayment
  • L_i: Loans
  • DL_i: Acquired new loans
source
BeforeIT.firms_productionMethod
firms_production(firms)

Calculate the production of firms.

Arguments

  • firms: Firms object

Returns

  • Y_i: Vector of production

The production Y_i is computed using a Leontief technology.

source
BeforeIT.firms_profitsMethod
firms_profits(firms, model)

Calculate the profits of firms.

Arguments

  • firms: Firms object
  • model: Model object

Returns

  • Pi_i: Vector of profits

The profits Pi_i are calculated as follows:

Pi_i = in_sales + in_deposits - out_wages - out_expenses - out_depreciation - out_taxes_prods - out_taxes_capital - out_loans

where:

  • in_sales = P_i * Q_i + P_i * DS_i
  • in_deposits = r_bar * pos(D_i)
  • out_wages = (1 + tau_SIF) * w_i * N_i * P_bar_HH
  • out_expenses = 1 / beta_i * P_bar_i * Y_i
  • out_depreciation = delta_i / kappa_i * P_CF_i * Y_i
  • out_taxes_prods = tau_Y_i * P_i * Y_i
  • out_taxes_capital = tau_K_i * P_i * Y_i
  • out_loans = r * (L_i + pos(-D_i))
source
BeforeIT.firms_stocksMethod
firms_stocks(firms)

Calculate the stocks of firms.

Arguments

  • firms: Firms object

Returns

  • K_i: Vector of capital stock
  • M_i: Vector of intermediate goods
  • DS_i: Vector of differneces in stock of final goods
  • S_i: Vector of stock of final goods

The stocks are calculated as follows:

K_i = K_i - delta_i / kappa_i * Y_i + I_i
+M_i = M_i - Y_i / beta_i + DM_i
+DS_i = Y_i - Q_i
+S_i = S_i + DS_i
source
BeforeIT.firms_wagesMethod
firms_wages(firms)

Calculate the wages set by firms.

Arguments

  • firms: Firms object

Returns

  • w_i: Vector of wages
source
BeforeIT.init_firmsMethod
init_firms(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)

Initialize firms with given parameters and initial conditions.

Arguments

  • parameters: The parameters for initializing the firms.
  • initial_conditions: The initial conditions for the firms.
  • typeInt: (optional) The integer type to be used. Default is Int64.
  • typeFloat: (optional) The floating-point type to be used. Default is Float64.

Returns

  • firms::Firms: The initialized firms.
  • firms_args::Tuple: The arguments used to initialize the firms.
source
BeforeIT.leontief_productionMethod
leontief_production(Q_s_i, N_i, alpha_i, K_i, kappa_i, M_i, beta_i)

Calculate the production function of firms.

Arguments

  • Q_s_i: Vector of desired quantities
  • N_i: Vector of employment
  • alpha_i: Vector of labour productivity
  • K_i: Vector of capital stock
  • kappa_i: Vector of capital productivity
  • M_i: Vector of intermediate goods
  • beta_i: Vector of intermediate goods productivity

Returns

  • Y_i: Vector of production

The Leontief production function Y_i is calculated as follows:

\[Y_i = \min(Q_s_i, \min(N_i \cdot \alpha_i, \min(K_i \cdot \kappa_i, M_i \cdot \beta_i)))\]

source

Households actions

Government actions

BeforeIT.gov_expenditureMethod
gov_expenditure(gov::AbstractGovernment, model)

Computes government expenditure on consumption and transfers to households.

Arguments

  • gov: government object
  • model: model object

Returns

  • C_G: government consumption
  • C_d_j: local government consumptions
source
BeforeIT.gov_loansMethod
gov_loans(gov::AbstractGovernment, model, Y_G)

Computes government new government debt.

Arguments

  • gov::AbstractGovernment: government object
  • model: model object

Returns

  • L_G: new government debt
source
BeforeIT.gov_revenuesMethod
gov_revenues(model)

Computes government revenues from taxes and social security contributions. The government collects taxes on labour income, capital income, value added, and corporate income. It also collects social security contributions from workers and firms. The government also collects taxes on consumption and capital formation. Finally, the government collects taxes on exports and imports.

Arguments

  • model: model object

Returns

  • Y_G: government revenues
source
BeforeIT.gov_social_benefitsMethod
gov_social_benefits(gov::AbstractGovernment, model)

Computes social benefits paid by the government households.

Arguments

  • gov: government object
  • model: model object

Returns

  • sb_other: social benefits for other households
  • sb_inact: social benefits for inactive households
source
BeforeIT.init_governmentMethod
init_government(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)

Initialize the government agent.

Arguments

  • parameters: The parameters.
  • initial_conditions: The initial conditions.
  • typeInt: The integer type to be used (default: Int64).
  • typeFloat: The floating-point type to be used (default: Float64).

Returns

  • The initialized government model.
  • The arguments used to initialize the government model.
source

Bank and Central Bank actions

BeforeIT._bank_depositsMethod
_deposit_bank(waD_h, wiD_h, fD_h, bD_h, fD_i, bE_k, fL_i)

Helper function to calculate the new deposits of a bank.

Arguments

  • waD_h: Array of deposits from active workers
  • wiD_h: Array of deposits from inactive workers
  • fD_h: Array of deposits from firms
  • bD_h: Deposits from the bank owner
  • fD_i: Array of deposits from firms
  • bE_k: Bank equity
  • fL_i: Array of loans to firms

Returns

  • D_k: New deposits of the bank

The new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.

source
BeforeIT._bank_profitsMethod
_bank_profits(L_i, D_i, D_h, D_k, r_bar, r)

Helper function to calculate the total profits of a bank.

Arguments

  • L_i: Array of loans provided by the bank
  • D_i: Array of deposits from firms
  • D_h: Array of deposits from households
  • D_k: Residual and balancing item on the bank’s balance sheet
  • r_bar: Base interest rate
  • r: Interest rate set by the bank

Returns

  • Pi_k: Total profits of the bank

The total profits Pi_k are calculated as follows:

\[\Pi_k = r \cdot \sum_i(L_i + \max(0, -D_i)) + r \cdot \sum_h(\max(0, -D_h)) + r_{bar} +\cdot \max(0, D_k) - r_{bar} \cdot \sum_i(\max(0, D_i)) - r_{bar} \cdot +\sum_h(\max(0, D_h)) - r_{bar} \cdot \max(0, -D_k)\]

source
BeforeIT._central_bank_profitsMethod
_central_bank_profits(r_bar, D_k, L_G, r_G)

Helper function to calculate the profits of a central bank.

Arguments

  • r_bar: The base interest rate
  • D_k: Deposits from commercial banks
  • L_G: Loans provided to the government
  • r_G: Interest rate on government loans

Returns

  • Pi_CB: Profits of the central bank

The profits Pi_CB are calculated as follows:

\[\{Pi}_{CB} = r_{G} \cdot L_{G} - r_{bar} \cdot D_{k}\]

source
BeforeIT.bank_depositsMethod
deposits_bank(bank, w_act, w_inact, firms)

Calculate the new deposits of a bank.

Arguments

  • bank: The Bank object containing the bank of the model
  • w_act: The Workers object containing the active workers of the model
  • w_inact: The Workers object containing the inactive workers of the model
  • firms: The Firms object containing the firms of the model

Returns

  • D_k: New deposits of the bank

The new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.

source
BeforeIT.bank_equityMethod
bank_equity(bank, model)

Calculate the net profits of a bank.

Arguments

  • bank: The bank object.
  • model: The model object.

Returns

  • E_k: The updated equity of the bank.

The net profits DE_k are calculated as:

\[DE_k = \Pi_k - \theta_{DIV} \cdot (1 - \tau_{FIRM}) \cdot \max(0, \Pi_k) - \tau_{FIRM} \cdot \max(0, \Pi_k)\]

and the equity E_k is updated as:

\[E_k = E_k + DE_k\]

source
BeforeIT.bank_expected_profitsMethod
bank_expected_profits(Pi_k, pi_e, gamma_e)

Calculate the expected profits of a bank.

Arguments

  • Pi_k: Past profits of the bank
  • pi_e: Expected inflation rate
  • gamma_e: Expected growth rate

Returns

  • E_Pi_k: Expected profits of the bank

The expected profits E_Pi_k are calculated as follows:

\[E_{\Pi_k} = \Pi_k \cdot (1 + \pi_e) \cdot (1 + \gamma_e)\]

source
BeforeIT.bank_profitsMethod
bank_profits(bank, model)

Calculate the total profits of a bank.

Arguments

  • bank: The bank object.
  • model: The model object.

Returns

  • Pi_k: The total profits of the bank.

The total profits Pi_k are calculated as:

\[\Pi_k = r \cdot \sum_i(L_i + \max(0, -D_i)) + r \cdot \sum_h(\max(0, -D_h)) + r_{bar} +\cdot \max(0, D_k) - r_{bar} \cdot \sum_i(\max(0, D_i)) - r_{bar} \cdot +\sum_h(\max(0, D_h)) - r_{bar} \cdot \max(0, -D_k)\]

source
BeforeIT.bank_rateMethod
bank_rate(bank, model)

Update the interest rate set by the bank.

Arguments

  • bank: The bank whose interest rate is to be updated
  • model: Model object

Returns

  • r: The updated interest rate

\[r = \bar{r} + \mu\]

source
BeforeIT.central_bank_equityMethod
central_bank_equity(cb, model)

Calculate the equity of the central bank.

Arguments

  • cb: The central bank
  • model: The model object

Returns

  • E_CB: The equity of the central bank

The equity E_CB is calculated as follows:

\[E_{CB} = E_{CB} + \Pi_{CB}\]

where \Pi_{CB} are the profits of the central bank.

source
BeforeIT.central_bank_rateMethod
central_bank_rate(cb, model)

Update the base interest rate set by the central bank according to the Taylor rule.

Arguments

  • cb: The central bank whose base interest rate is to be updated
  • model: The model object

Returns

  • r_bar: The updated base interest rate
source
BeforeIT.finance_insolvent_firms!Method
finance_insolvent_firms!(firms, bank, P_bar_CF, zeta_b,  insolvent)

Rifinance insolvent firms using bank equity.

Arguments

  • firms: The Firms object containing the firms of the model
  • bank: The Bank object containing the bank of the model
  • P_bar_CF: Capital price index
  • zeta_b: Parameter of loan-to-capital ratio for new firms after bankruptcy

Returns

  • This function does not return a value. It modifies the banks and firms collections in-place.
source
BeforeIT.taylor_ruleMethod
taylor_rule(rho, r_bar, r_star, pi_star, xi_pi, xi_gamma, gamma_EA, pi_EA)

Calculate the interest rate according to the Taylor rule.

Arguments

  • rho: Parameter for gradual adjustment of the policy rate.
  • r_bar: Nominal interest rate.
  • r_star: Real equilibrium interest rate.
  • pi_star: The target inflation rate.
  • xi_pi: Weight the CB puts on inflation targeting.
  • xi_gamma: Weight placed on economic growth.
  • gamma_EA: The output growth rate.
  • pi_EA: The inflation rate.

Returns

  • rate: The calculated interest rate.

The Taylor rule is given by the following equation:

\[r_t = ρ * r_{t-1} + (1 - ρ) * (r^* + π^* + ξ_π * (π_t - π^*) + ξ_γ * γ_t)```\]

source

Rest Of The World actions

BeforeIT.rotw_depositsMethod
rotw_deposits(rotw, tau_EXPORT)

Calculate the deposits of the rest of the world.

Arguments

  • rotw: The rest of the world object.
  • tau_EXPORT: The export tax.

Returns

  • D_RoW: The deposits of the rest of the world.

The deposits D_RoW are calculated as follows:

\[D_{RoW} = D_{RoW} + \left( \sum_{m} P_m \cdot Q_m \right) - (1 + \tau_{EXPORT}) \cdot C_l\]

source
BeforeIT.rotw_import_exportMethod
rotw_import_export(rotw, model, pi_e, epsilon_E, epsilon_I)

Calculate the demand for exports and supply of imports of the rest of the world.

Arguments

  • rotw: The rest of the world object.
  • model: The model object.

Returns

  • C_E: Total demand for exports.
  • Y_I: Supply of imports (in real terms).
  • C_d_l: TDemand for exports of specific product.
  • Y_m: Supply of imports per sector.
  • P_m: Price of imports per sector.
source

Markets

BeforeIT.search_and_matching_creditMethod
search_and_matching_credit(firms::Firms, model)

This function calculates the credit allocation for each firm in the given firms object.

Parameters:

  • firms::Firms: The firms object.
  • model: The model object.

Returns:

  • DL_i: An array of credit allocations for each firm.
source
BeforeIT.search_and_matching_labourMethod
search_and_matching_labour(firms::Firms, model)

This function implements a labor search and matching algorithm. It takes in a Firms object and a Model object as input. The Firms object contains information about the number of desired employees (N_d_i) and the current number of employees (N_i) for each firm. The model object contains information about the current employment status (O_h) of each worker.

The function performs the following steps:

  • Calculates the vacancies (V_i) for each firm as the difference between desired and current employees.
  • Identifies employed workers and shuffles them randomly.
  • Fires workers from firms with negative vacancies to adjust the workforce.
  • Identifies unemployed workers and firms with positive vacancies.
  • Randomly matches unemployed workers to firms with vacancies until all vacancies are filled or there are no more unemployed workers.

The function returns:

  • N_i: An updated array of the number of employed workers for each firm.
  • O_h: An updated array where each element represents the firm a worker is employed with (0 if unemployed).
source
BeforeIT.search_and_matching!Function
search_and_matching!(model, multi_threading::Bool = false)

This function performs a search and matching algorithm for firms and for retail markets. It takes in a model object and an optional boolean argument for multi-threading. The function loops over all goods and performs the firms market and retail market operations for each good. Finally, it updates the aggregate variables based on the results of markets.

Args:

  • model: The model object
  • multi_threading: A boolean indicating whether to use multi-threading for the algorithm. Default is false.

This function updates the model in-place and does not return any value.

source
diff --git a/previews/PR34/assets/documenter.js b/previews/PR34/assets/documenter.js new file mode 100644 index 0000000..7d68cd8 --- /dev/null +++ b/previews/PR34/assets/documenter.js @@ -0,0 +1,1082 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+
+ ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +/////// SEARCH MAIN /////// + +function runSearchMainCode() { + // `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! + const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), + ]; + const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; + const worker_blob = new Blob([worker_str], { type: "text/javascript" }); + const worker = new Worker(URL.createObjectURL(worker_blob)); + + // Whether the worker is currently handling a search. This is a boolean + // as the worker only ever handles 1 or 0 searches at a time. + var worker_is_running = false; + + // The last search text that was sent to the worker. This is used to determine + // if the worker should be launched again when it reports back results. + var last_search_text = ""; + + // The results of the last search. This, in combination with the state of the filters + // in the DOM, is used compute the results to display on calls to update_search. + var unfiltered_results = []; + + // Which filter is currently selected + var selected_filter = ""; + + $(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } + }); + + function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); + } + + worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); + }; + + $(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); + }); + + /** + * Make/Update the search component + */ + function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } + } + + /** + * Make the modal filter html + * + * @returns string + */ + function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; + } +} + +function waitUntilSearchIndexAvailable() { + // It is possible that the documenter.js script runs before the page + // has finished loading and documenterSearchIndex gets defined. + // So we need to wait until the search index actually loads before setting + // up all the search-related stuff. + if (typeof documenterSearchIndex !== "undefined") { + runSearchMainCode(); + } else { + console.warn("Search Index not available, waiting"); + setTimeout(waitUntilSearchIndexAvailable, 1000); + } +} + +// The actual entry point to the search code +waitUntilSearchIndexAvailable(); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` + + `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` +
+ + Ctrl + + / to search + + esc to close +
+ `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/previews/PR34/assets/logo.png b/previews/PR34/assets/logo.png new file mode 100644 index 0000000..9f6ce8c Binary files /dev/null and b/previews/PR34/assets/logo.png differ diff --git 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.docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe 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.button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter 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select:not([multiple]){padding-right:2.5em}html.theme--catppuccin-frappe .select select[multiple]{height:auto;padding:0}html.theme--catppuccin-frappe .select select[multiple] option{padding:0.5em 1em}html.theme--catppuccin-frappe .select:not(.is-multiple):not(.is-loading):hover::after{border-color:#99d1db}html.theme--catppuccin-frappe .select.is-white:not(:hover)::after{border-color:#fff}html.theme--catppuccin-frappe .select.is-white select{border-color:#fff}html.theme--catppuccin-frappe .select.is-white select:hover,html.theme--catppuccin-frappe .select.is-white select.is-hovered{border-color:#f2f2f2}html.theme--catppuccin-frappe .select.is-white select:focus,html.theme--catppuccin-frappe .select.is-white select.is-focused,html.theme--catppuccin-frappe .select.is-white select:active,html.theme--catppuccin-frappe .select.is-white select.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-frappe 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select.is-focused,html.theme--catppuccin-frappe .select.is-dark select:active,html.theme--catppuccin-frappe .content kbd.select select:active,html.theme--catppuccin-frappe .select.is-dark select.is-active,html.theme--catppuccin-frappe .content kbd.select select.is-active{box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .select.is-primary:not(:hover)::after,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink:not(:hover)::after{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-primary select,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-primary select:hover,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:hover,html.theme--catppuccin-frappe .select.is-primary select.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-hovered{border-color:#769aeb}html.theme--catppuccin-frappe .select.is-primary select:focus,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:focus,html.theme--catppuccin-frappe .select.is-primary select.is-focused,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-focused,html.theme--catppuccin-frappe .select.is-primary select:active,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:active,html.theme--catppuccin-frappe .select.is-primary select.is-active,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-active{box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .select.is-link:not(:hover)::after{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-link select{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-link select:hover,html.theme--catppuccin-frappe .select.is-link select.is-hovered{border-color:#769aeb}html.theme--catppuccin-frappe .select.is-link select:focus,html.theme--catppuccin-frappe .select.is-link select.is-focused,html.theme--catppuccin-frappe .select.is-link select:active,html.theme--catppuccin-frappe .select.is-link select.is-active{box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .select.is-info:not(:hover)::after{border-color:#81c8be}html.theme--catppuccin-frappe .select.is-info select{border-color:#81c8be}html.theme--catppuccin-frappe .select.is-info select:hover,html.theme--catppuccin-frappe .select.is-info select.is-hovered{border-color:#6fc0b5}html.theme--catppuccin-frappe .select.is-info select:focus,html.theme--catppuccin-frappe .select.is-info select.is-focused,html.theme--catppuccin-frappe .select.is-info select:active,html.theme--catppuccin-frappe .select.is-info select.is-active{box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe 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a.navbar-item:focus,html.theme--catppuccin-frappe a.navbar-item:focus-within,html.theme--catppuccin-frappe a.navbar-item:hover,html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link:focus,html.theme--catppuccin-frappe .navbar-link:focus-within,html.theme--catppuccin-frappe .navbar-link:hover,html.theme--catppuccin-frappe .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#8caaee}html.theme--catppuccin-frappe .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .navbar-item img{max-height:1.75rem}html.theme--catppuccin-frappe .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-frappe .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-frappe .navbar-item.is-tab:focus,html.theme--catppuccin-frappe .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee}html.theme--catppuccin-frappe .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee;border-bottom-style:solid;border-bottom-width:3px;color:#8caaee;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-frappe .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-frappe .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-frappe .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-frappe .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-frappe 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#838ba7}html.theme--catppuccin-frappe .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#8caaee}.navbar.is-spaced html.theme--catppuccin-frappe .navbar-dropdown,html.theme--catppuccin-frappe .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-frappe .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-frappe .navbar-divider{display:block}html.theme--catppuccin-frappe .navbar>.container .navbar-brand,html.theme--catppuccin-frappe .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-frappe .navbar>.container .navbar-menu,html.theme--catppuccin-frappe .container>.navbar 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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.button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte 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kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table 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#documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field .field{margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-body{display:flex;flex-basis:0;flex-grow:5;flex-shrink:1}html.theme--catppuccin-latte .field-body .field{margin-bottom:0}html.theme--catppuccin-latte .field-body>.field{flex-shrink:1}html.theme--catppuccin-latte .field-body>.field:not(.is-narrow){flex-grow:1}html.theme--catppuccin-latte .field-body>.field:not(:last-child){margin-right:.75rem}}html.theme--catppuccin-latte .control{box-sizing:border-box;clear:both;font-size:1rem;position:relative;text-align:inherit}html.theme--catppuccin-latte .control.has-icons-left .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left .select:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .select:focus~.icon{color:#ccd0da}html.theme--catppuccin-latte .control.has-icons-left .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-small~.icon{font-size:.75rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-medium~.icon{font-size:1.25rem}html.theme--catppuccin-latte .control.has-icons-left 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark 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.button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark 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h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/previews/PR34/assets/themeswap.js b/previews/PR34/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/previews/PR34/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR34/assets/warner.js b/previews/PR34/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/previews/PR34/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/previews/PR34/examples/basic_example-37e2735c.svg b/previews/PR34/examples/basic_example-37e2735c.svg new file mode 100644 index 0000000..15d4667 --- /dev/null +++ b/previews/PR34/examples/basic_example-37e2735c.svg @@ -0,0 +1,287 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/basic_example-63349c57.svg b/previews/PR34/examples/basic_example-63349c57.svg new file mode 100644 index 0000000..b820744 --- /dev/null +++ b/previews/PR34/examples/basic_example-63349c57.svg @@ -0,0 +1,44 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/basic_example-d0cbc812.svg b/previews/PR34/examples/basic_example-d0cbc812.svg new file mode 100644 index 0000000..2c7dc07 --- /dev/null +++ b/previews/PR34/examples/basic_example-d0cbc812.svg @@ -0,0 +1,284 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/basic_example.html b/previews/PR34/examples/basic_example.html new file mode 100644 index 0000000..d70208d --- /dev/null +++ b/previews/PR34/examples/basic_example.html @@ -0,0 +1,31 @@ + +Essentials · BeforeIT.jl

Essential use of BeforeIT

We start by importing the BeforeIT library and other useful libraries.

import BeforeIT as Bit
+using FileIO, Plots

We then initialise the model loading some precomputed set of parameters and by specifying a number of epochs. In another tutorial we will illustrate how to compute parameters and initial conditions.

parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

We can now initialise the model, by specifying in advance the maximum number of epochs.

T = 16
+model = Bit.init_model(parameters, initial_conditions, T)
Model(Workers{Vector{Float64}, Vector{Int64}}([0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249, 0.7661282859097249  …  4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569, 4.655745607447569], [3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487, 3.781806633594487  …  22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958, 22.981960001210958], [6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249, 6.973481059156249  …  42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032, 42.37769888790032], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983  …  11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522, 11.337587012313522], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]), Workers{Vector{Float64}, Vector{Int64}}([2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714  …  2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714, 2.8287542404944714], [13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984  …  13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984, 13.963459838592984], [25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977  …  25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977, 25.74799087814977], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1  …  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]), Firms{Vector{Float64}, Vector{Int64}}([1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  62, 62, 62, 62, 62, 62, 62, 62, 62, 62], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951], [1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485  …  3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877], [0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754  …  0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983  …  2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687], [0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721  …  0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782], [0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832  …  0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318], [-0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635  …  0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1  …  1, 3, 1, 2, 6, 2, 2, 2, 1, 1], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 35.96431016489685, 11.988103388298951, 23.976206776597902, 71.9286203297937, 23.976206776597902, 23.976206776597902, 23.976206776597902, 11.988103388298951, 11.988103388298951], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621  …  11.988103388298951, 35.96431016489685, 11.988103388298951, 23.976206776597902, 71.9286203297937, 23.976206776597902, 23.976206776597902, 23.976206776597902, 11.988103388298951, 11.988103388298951], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534, 298.15365853658534  …  79.20833333333334, 237.625, 79.20833333333334, 158.41666666666669, 475.25, 158.41666666666669, 158.41666666666669, 158.41666666666669, 79.20833333333334, 79.20833333333334], [7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355, 7.65511425407355  …  4.057486672347064, 12.172460017041193, 4.057486672347064, 8.114973344694128, 24.344920034082385, 8.114973344694128, 8.114973344694128, 8.114973344694128, 4.057486672347064, 4.057486672347064], [94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608, 94.08074124608  …  24.993752380711378, 74.98125714213411, 24.993752380711378, 49.987504761422755, 149.96251428426822, 49.987504761422755, 49.987504761422755, 49.987504761422755, 24.993752380711378, 24.993752380711378], [0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726  …  0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956], [12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014, 12.384292053067014  …  13.530111496595206, 40.59033448978562, 13.530111496595206, 27.06022299319041, 81.18066897957124, 27.06022299319041, 27.06022299319041, 27.06022299319041, 13.530111496595206, 13.530111496595206], [1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367, 1.2548454674764367  …  3.5771064837982873, 10.731319451394864, 3.5771064837982873, 7.154212967596575, 21.462638902789728, 7.154212967596575, 7.154212967596575, 7.154212967596575, 3.5771064837982873, 3.5771064837982873], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0  …  0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844, 1.3061857958470844  …  2.631055234104207, 6.712593893597363, 2.631055234104207, 4.671824563850785, 12.834901882837096, 4.671824563850785, 4.671824563850785, 4.671824563850785, 2.631055234104207, 2.631055234104207], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577, 11.889212387273577  …  23.948487711601803, 61.09961900078557, 23.948487711601803, 42.52405335619368, 116.82631593456121, 42.52405335619368, 42.52405335619368, 42.52405335619368, 23.948487711601803, 23.948487711601803], [6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781, 6.447669663541781  …  12.98756660038165, 33.13509314603694, 12.98756660038165, 23.06132987320929, 63.35638296451986, 23.06132987320929, 23.06132987320929, 23.06132987320929, 12.98756660038165, 12.98756660038165]), Bank{Float64}(89460.0, 6476.292527744359, 0.0, 126431.00000000006, 0.028359903595743693, 3695.369633667522, 0.0, 0.0, 0.0, 0.0, 33636.12938055408, 18241.296726948152), CentralBank{Float64}(0.0016459319014481277, 0.0089810924595537, 0.9259668580654086, -0.003424572940686137, 0.0049629315732038215, 0.30996974466133875, 1.328593153520194, 106179.90000000002), Government{Float64}(0.9905949533296431, 0.09373211872949586, 0.011235005057648862, 0.0, 14732.121510837034, 232610.9, 2.238468336136841, 0.5902859043576301, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0, 0.0), RestOfTheWorld{Float64}(0.962809216044625, 0.39260026877953946, 0.020320381298662014, 0.9662360466537488, 0.35492769963078624, 0.02122821278168188, 2.3548476e6, 0.0, 0.0019383188997990075, 0.38456173629534834, 0.0026219533879005877, 0.0025327891562467505, 0.9635784504324201, 0.5360029623199525, 0.006618207536795881, 0.0, 33097.63671130043, 34095.03119997918, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0, [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 0.0), Aggregates{Float64, Int64}([104531.39273728609, 105062.38754395355, 105399.12953350678, 106689.88106040593, 107938.33111423723, 108890.48532381697, 110110.17779727321, 110374.00540561741, 110808.89423399912, 111932.48072916963  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-0.007497362866886709, -0.007895434153021436, -0.0019938777296781562, -0.0035311300388783107, 0.001212170001002849, -0.001672412335241874, 0.001839696090252002, 0.004290005139261838, 0.00600429551344886, 0.0036060572293247772  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], 1.0, [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1), MutableNamedTuple(tau_VAT = 0.1528683933530887, tau_EXPORT = 0.0029486201783457183, tau_SIW = 0.17114894621657745, psi_H = 0.07125099957246343, tau_FIRM = 0.07701197259426128, H_inact = 4130, theta_DIV = 0.7858074440019603, I_s = [48, 2, 1, 1, 5, 2, 4, 1, 1, 1  …  14, 10, 13, 41, 20, 16, 7, 7, 2, 19], psi = 0.9096681249468772, tau_INC = 0.21340742230566648, zeta_b = 0.5, tau_CF = 0.08761417854834112, H_act = 4743, zeta = 0.03, mu = 0.026713971694295565, tau_G = 0.009147800682711324, theta_UB = 0.3585824478060919, T_prime = 54, tau_SIF = 0.21215146534992413, T = 16, zeta_LTV = 0.6, I = 624, products = MutableNamedTuple(a_sg = [0.37790282216028437 0.0 … 0.0 0.0; 0.0006712800413285777 0.8149348034258406 … 2.4029219530949635e-5 0.00019143106686926454; … ; 0.00037430822580994426 0.000357977071568566 … 0.3197327950788158 0.0011366219595362582; 0.0 5.36965607352849e-5 … 0.0 0.05594572929254256], b_CF_g = [0.0033476048872100555, 0.0, 0.0, 0.0008050086095806136, 0.0, 0.003306696048303853, 0.0030629933432974495, 0.0, 0.0, 0.0  …  0.0017883064872300512, 0.0, 0.0, 0.0, 0.0, 0.002291709084994238, 0.0, 0.0, 0.0, 0.0], b_CFH_g = [0.0006092803753845975, 0.0, 0.0, 0.004372477702289994, 0.0, 0.0, 0.06710603871527036, 0.0, 0.0, 0.0  …  0.0041711096896454745, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], c_E_g = [0.005090338238241512, 0.0005933402816643566, 1.793599921320476e-5, 0.007268146142708006, 0.05434404438533037, 0.02138421321578873, 0.023894091259534518, 0.028037089231640524, 0.005923381894006229, 0.011927802553688313  …  0.0014618202435669027, 0.0009447261124040238, 0.0001280209174610526, 0.0010477673386531637, 0.0, 0.0013030104043795392, 5.5260305268213854e-5, 0.0, 1.307076865739618e-5, 8.641230390167474e-6], b_HH_g = [0.011287997598927976, 0.0020040637862256817, 0.0003326837475323491, 0.00034402684015257527, 0.06305103828047173, 0.03068200872784047, 0.0003505790613555631, 0.0020473225369636873, 0.0, 0.0191077565617325  …  0.005591228759882936, 0.0004356874830029748, 0.014434120586233577, 0.03514505772295519, 0.024907176866291014, 0.013342154173060372, 0.009686226103767459, 0.011051272187723254, 0.0021206651420422927, 0.01721782824162338], c_G_g = [0.0, 0.0, 0.0, 0.0, 8.57086390274792e-6, 0.0, 0.0, 0.0, 2.4536198623552867e-5, 0.0  …  0.008555738848801895, 0.3324338967920097, 0.22067672180252998, 0.2370889178393625, 0.0477595425645907, 0.012942508661614227, 0.004667927760053456, 0.021757222045203074, 0.0, 0.002000708524749294], c_I_g = [0.016810689305736877, 0.004087420487057966, 0.00036885674795364003, 0.05818437780960789, 0.04895082866561155, 0.04689140072807505, 0.010101572733480902, 0.016066325760592727, 0.00037371898454196314, 0.041008926225895866  …  0.0018123421762754539, 0.000401097116716159, 0.0003479865324437806, 0.0006664256271585853, 0.0028556289501379516, 0.001307065586721844, 6.418152296577174e-5, 0.0, 3.538212163497461e-5, 0.00020458795490837936]), J = 156, G = 62, H = 8873, L = 312, theta = 0.05, C = [4.3800671000101816e-5 0.00010629745355671226 9.959785873214212e-5; 0.00010629745355671226 0.0004129178961230129 0.0003596689472264872; 9.959785873214212e-5 0.0003596689472264872 0.0004506370179043619]))

Note that the it is very simple to inspect the model by typing

fieldnames(typeof(model))
(:w_act, :w_inact, :firms, :bank, :cb, :gov, :rotw, :agg, :prop)

and to inspect the specific attributes of one agent type by typing

fieldnames(typeof(model.bank))
(:E_k, :Pi_k, :Pi_e_k, :D_k, :r, :Y_h, :C_d_h, :I_d_h, :C_h, :I_h, :K_h, :D_h)

We can now define a data tracker, which will store the time series of the model.

data = Bit.init_data(model);

We can run now the model for a number of epochs and progressively update the data tracker.

for t in 1:T
+    Bit.run_one_epoch!(model; multi_threading = true)
+    Bit.update_data!(data, model)
+end

Note that we can equivalently run the model for a number of epochs in the single command data = BeforeIT.run_one_sim!(model), but writing the loop explicitely is more instructive.

We can then plot any time series stored in the data tracker, for example

plot(data.real_gdp, title = "gdp", titlefont = 10)
Example block output

Or we can plot multiple time series at once using the function plot_data

ps = Bit.plot_data(data, quantities = [:real_gdp, :real_household_consumption, :real_government_consumption, :real_capitalformation, :real_exports, :real_imports, :wages, :euribor, :gdp_deflator])
+plot(ps..., layout = (3, 3))
Example block output

To run multiple monte-carlo repetitions in parallel we can use

model = Bit.init_model(parameters, initial_conditions, T)
+data_vector = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72422.0, 73710.80938069482, 74452.73698689604, 74308.70114216491, 73959.72462298497, 75719.38587768146, 76104.54652221888, 76242.0781644488, 75713.91747215444, 76402.1558992869, 77129.96709380076, 77444.24597999635, 78277.48614627481, 78034.01161727363, 79038.85660935054, 80448.4019376564, 81102.83305422876], [72422.0, 72883.89969933261, 73353.44670732855, 73716.54014408232, 73220.90082471247, 74473.1367632678, 74779.42367145358, 74697.23994045294, 74404.5443333967, 74843.67063325304, 75288.91095776613, 75261.29175264786, 76110.15133723473, 75808.97840016236, 76548.41564151757, 77877.45929296328, 78688.80060628268], [64900.92049553803, 66068.7805744836, 66743.78684930246, 66615.26841265126, 66308.45525806074, 67906.90720106938, 68268.14111686626, 68403.93249929223, 67937.06098053766, 68565.67110322036, 69219.66932677299, 69513.9061732379, 70273.76166360494, 70058.08296875418, 71001.83761550294, 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39176.6698874579, 39156.321835657705, 40329.897117924374, 40719.87752827543, 41362.73605455171, 42319.40246364226, 44465.49944281336, 45163.11117201634], [33097.63671130043, 33246.70358848908, 33770.95427700047, 34213.58125595819, 34922.772606879786, 34296.405606923465, 35445.62811758853, 35580.26829779787, 36677.736750187716, 37570.387825429934, 37515.352394413676, 38366.6218835995, 38349.62148698764, 38711.40419594594, 39464.42747777136, 41213.91887312884, 42009.38952423429], [29576.14777688488, 30125.077257319917, 30393.024309154156, 30097.565887169527, 30693.101356025763, 30494.912826219603, 30595.131277180284, 30772.87974182521, 31118.73792141592, 31330.7942291857, 31556.866603085546, 31956.39308473703, 32346.052370267953, 32724.863116557342, 32822.677301263466, 32961.78660485183, 33118.465012449735], [34346.71094688274, 34984.18146322435, 35109.516169389775, 34873.824411839734, 35705.19688574062, 35443.35788837809, 35556.5881849975, 35831.647216633755, 36248.451328637406, 36469.6688560988, 36787.83746803193, 37304.54170646456, 37759.301404194506, 38183.125242454116, 38386.502419325094, 38549.17651389253, 38674.13677060524], [28335.329312139653, 28861.22936222752, 28964.627914098466, 28770.187067152005, 29456.05223967059, 29240.04045826591, 29333.45312149832, 29560.37115897052, 29904.225969131006, 30086.725874287276, 30349.208427852715, 30775.478785314568, 31150.64617217135, 31500.292111952698, 31668.074095215212, 31802.27687367779, 31905.366512460372], [978.061771770434, 996.2144718536729, 997.7341415198326, 992.2169484014893, 1021.0949460226631, 1016.6245729694153, 1015.3612726995141, 1029.4978135115769, 1046.3354464003853, 1060.3992130465426, 1071.882533506154, 1085.9972361931661, 1104.2071819420983, 1113.4657880657778, 1121.70022975479, 1133.2603396322895, 1143.1889666872298], [0.0019383188997990075, 0.005860634896911021, 0.009974785211196657, 0.007474199218469035, 0.005561374722463652, 0.005244239071748424, 0.00196717609521202, -0.0015974476004476656, -0.00040246525148190937, 0.003454833290941872, 0.007769186089424673, 0.005698874694217926, 0.0038208648782125376, 0.001999606554943245, 0.002092629697387549, 0.003847710130509663, 0.005591419319242563], [2.3548476e6, 2.3653866859247363e6, 2.370347754273704e6, 2.3776215191120985e6, 2.392175407291391e6, 2.3897124715200495e6, 2.4069918411606117e6, 2.410398676575596e6, 2.423517481839551e6, 2.4433400824678405e6, 2.441283605800095e6, 2.4525517205562163e6, 2.4823246023868234e6, 2.4699521920272126e6, 2.476953479009689e6, 2.499391664629079e6, 2.521173332273516e6], [0.0016459319014481277, 0.0020987768460440097, 0.0023785957251073768, 0.002675851058049701, 0.003207452431276378, 0.002989070222722105, 0.0035241370148279857, 0.0033657935840767732, 0.003642710006613483, 0.004256822629660311, 0.004037178002133444, 0.004323066155507295, 0.005284742860898682, 0.004449137921266831, 0.004446585471523757, 0.005096709444175441, 0.005704881977081951], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 527.6990007130441 263.03622802761515 … 139.53987921768697 514.2755941804271; … ; 535.8813803502277 283.5341847715072 … 152.2036290894151 555.8569523445171; 526.0188496748253 282.61702413273235 … 152.402938224622 555.4289846443294], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 525.6267783858799 262.00331050486994 … 138.9919197694905 512.2560842568993; … ; 496.69456122445837 262.80048656510206 … 141.07359863470037 515.2094011325491; 489.287167770927 262.881992512692 … 141.76070315729154 516.6436050010467])])

Note that this will use the number of threads specified when activating the Julia environment. To discover the number of threads available, you can use the command

Threads.nthreads()
2

To activate Julia with a specific number of threads, say 8, you can use the command julia -t 8 in the terminal.

We can then plot the results of the monte-carlo repetitions using the function plot_data_vector

ps = Bit.plot_data_vector(data_vector)
+plot(ps..., layout = (3, 3))
Example block output
diff --git a/previews/PR34/examples/change_expectations-4040d5d9.svg b/previews/PR34/examples/change_expectations-4040d5d9.svg new file mode 100644 index 0000000..0e4b7a1 --- /dev/null +++ b/previews/PR34/examples/change_expectations-4040d5d9.svg @@ -0,0 +1,82 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/change_expectations-54d80062.svg b/previews/PR34/examples/change_expectations-54d80062.svg new file mode 100644 index 0000000..1d59ab0 --- /dev/null +++ b/previews/PR34/examples/change_expectations-54d80062.svg @@ -0,0 +1,284 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/change_expectations.html b/previews/PR34/examples/change_expectations.html new file mode 100644 index 0000000..48ade9f --- /dev/null +++ b/previews/PR34/examples/change_expectations.html @@ -0,0 +1,57 @@ + +Experimentations (advanced) · BeforeIT.jl

Changing expectations via function overloading

In this tutorial we will illustrate how to experiment with different expectations of the agents in the model.

import BeforeIT as Bit
+using Random, Plots

Import standard parameters and initial conditions

par = Bit.AUSTRIA2010Q1.parameters
+init = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Set the seed, initialise the model and run one simulation

Random.seed!(1234)
+T = 40
+model = Bit.init_model(par, init, T)
+data = Bit.run_one_sim!(model)
BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999997, 72321.49357146623, 72939.5153644963, 73962.58571988865, 74097.28050895817, 74966.11499467235, 75621.88311225767, 76486.6655262319, 77132.65913232809, 78537.17167545545  …  92843.8319003715, 93190.98378950437, 92590.1362598781, 93459.04026122102, 94541.01187464365, 95059.57078482675, 94472.16641289036, 94487.9640513894, 95214.67957815698, 96256.66273518592], [72421.99999999997, 72379.06113178324, 72774.3361064739, 73550.08881669497, 73507.38388050068, 73972.47922368234, 74094.78253498324, 74722.3604646488, 75718.0401148647, 76721.84043323644  …  83294.04949220557, 82954.86801704326, 82296.86773712788, 82465.62646156736, 83070.27213900148, 83465.09387035854, 83169.18384366858, 82771.46612740691, 82473.409687215, 83046.31460350617], [64900.920495538034, 64822.27522027363, 65405.19251975263, 66320.5629328053, 66450.63661991055, 67283.43925593204, 67909.99928834863, 68711.26373282148, 69288.79246661696, 70568.91874397847  …  83452.42931491986, 83755.95007565369, 83205.52547704343, 84006.35030670131, 84973.52463048926, 85412.72920344184, 84863.28634131656, 84839.27193105238, 85466.13434073918, 86408.83023323487], [64900.920495538034, 64873.873438926865, 65257.07553381933, 65950.68637208782, 65921.61576743542, 66391.63324404682, 66538.63170468244, 67126.31255790053, 68018.03057894247, 68937.76803925307  …  74868.63300796083, 74556.18024015783, 73955.5464737954, 74124.83891797988, 74663.61609313477, 74994.88375374301, 74709.94401093575, 74319.21084780435, 74029.37806538986, 74550.00720118533], [40512.94792630534, 40372.19526798674, 40514.367639670425, 41111.26104080402, 41127.04764245329, 41240.659458047376, 41359.95644805904, 41662.98851165175, 42092.74367258232, 42775.01498032095  …  50330.263359729426, 50588.501646610806, 50330.55739106858, 50637.952171325975, 51270.23905395274, 51789.82266862961, 51613.1461085754, 51835.48961405289, 52371.60906296847, 52886.81667897088], [40512.94792630534, 40404.331340839315, 40422.61856302073, 40881.97933437552, 40799.63067686357, 40694.03656769685, 40524.73771548507, 40701.955356315964, 41320.759452586906, 41786.300726629146  …  45153.36518789533, 45031.85079313667, 44735.296782834055, 44681.50364980781, 45049.57823479581, 45472.984728186515, 45437.96760935213, 45407.894178497176, 45363.43754308799, 45628.5839493819], [14866.888022051655, 14851.49808083446, 15006.065974005784, 15080.01872589489, 15193.966973445758, 15256.52812118052, 15406.534290196816, 15507.117431740662, 15449.67263628867, 15381.282146156325  …  18670.016422830548, 18676.0969644062, 18665.144169750347, 19100.901607845335, 19126.76122414227, 19109.50847593551, 19140.435123112842, 19277.284297884304, 19744.838234875737, 19655.942539439413], [14866.888022051655, 14863.319801727455, 14972.083148221494, 14995.91591953691, 15073.006125369204, 15054.310998372443, 15095.41631164248, 15149.417359614992, 15166.32442852908, 15025.754675155875  …  16749.64550808587, 16624.710843864978, 16590.1354407877, 16854.09793069863, 16806.09534975097, 16778.709451262912, 16850.406083042628, 16886.90300727527, 17102.658331334318, 16958.343885758146], [15944.236265986641, 15917.076175530057, 16031.046912897496, 16377.672002117872, 16187.684808526985, 16486.783569469553, 16546.2636514225, 16836.647070014806, 17018.267258532094, 17732.083006388144  …  21483.279995801764, 21453.230638828092, 20721.37232985262, 21170.12610017868, 21815.93192221495, 22197.081670773394, 21650.606057412002, 20853.347607933356, 20685.02785054476, 21930.358445139125], [15944.236265986641, 15929.746091450681, 15994.74290921496, 16286.332050754054, 16058.812863085917, 16268.260068493653, 16212.130094654098, 16448.278961124925, 16706.150902386627, 17322.218434181028  …  19273.540854554725, 19096.80361571209, 18417.772203890978, 18679.923378648287, 19168.986726599465, 19489.689360083215, 19060.25132996262, 18267.534627313395, 17917.0353129119, 18920.616973945253], [15944.236265986641, 15917.076175530063, 16024.796769328006, 16256.06086278949, 16296.974425138349, 16455.60560059657, 16596.797241714634, 16765.371504732124, 16907.1587519136, 17257.955624511455  …  21105.005010237084, 20518.551042893225, 20421.894835241095, 21519.618335041538, 21690.399656854315, 21745.867300740836, 20835.69982101401, 20853.314978112765, 21011.128071253766, 22205.718528911268], [15944.236265986641, 15929.746091450685, 15988.506919757576, 16165.39914918438, 16167.232412996835, 16237.495346927686, 16261.643214789565, 16378.647497330132, 16597.080134492982, 16859.05017179834  …  18934.17468747215, 18264.78940826327, 18151.58769698934, 18988.305489259124, 19058.68539557965, 19093.50989662162, 18342.843344481204, 18267.506043587233, 18199.498030013718, 19158.186400272658], [3173.2320350842083, 3161.547520867122, 3157.0983266336884, 3200.8209998273524, 3210.630625942368, 3204.867391222516, 3210.0161651050526, 3214.6566140345203, 3227.8431506869993, 3313.6248194748996  …  3936.9664100277046, 4001.2892228696282, 3985.8467169821547, 4027.1273685011324, 4076.937133251284, 4071.832503319797, 4085.8854248793364, 4102.6574627786, 4137.627771652147, 4167.2351518418955], [3173.2320350842083, 3164.064097456108, 3149.948743085029, 3182.969693829119, 3185.0704411628903, 3162.3885875466804, 3145.193426804347, 3140.5046700796934, 3168.644254166176, 3237.032722618613  …  3532.0157332356516, 3561.786836920921, 3542.7391441272443, 3553.423835251681, 3582.27895425793, 3575.188477162898, 3597.0357087057173, 3593.928355023528, 3583.9460034579624, 3595.3201743420414], [34195.564496956766, 34159.01740189823, 34014.75456460803, 34823.21353948705, 34895.43718950549, 34670.27270208732, 34480.88414425994, 34624.591718149386, 35014.68560000502, 34606.83704556837  …  37176.99355266154, 37105.63053158947, 36036.51838477611, 35860.83459395811, 36195.090118384025, 36028.92409265714, 36645.055446997234, 37556.17664157078, 37863.7562753993, 38256.76226244631], [34195.564496956766, 34186.20781511489, 33937.72455018143, 34629.00091692283, 34617.6307625321, 34210.73677509919, 33784.58069458958, 33825.91207898237, 34372.513520143395, 33806.924454587774  …  33353.02170929037, 33029.94086198122, 32030.329655142887, 31642.591042660973, 31803.509679128645, 31634.453076256133, 32260.71200815496, 32899.214561042056, 32796.97098633359, 33006.37092830872], [33097.63671130043, 32978.29335478363, 32626.719726685307, 33429.57958841529, 33306.85610497304, 32688.12885611254, 32171.755421680577, 32144.67920532442, 32442.710035079806, 31958.045502978097  …  34816.7214306521, 34632.475991930216, 33163.45601557015, 33310.77421208765, 33867.01044405048, 34065.76612316909, 34577.07632320748, 35034.3341100518, 35450.55184563082, 36473.21719080997], [33097.63671130043, 33004.543917349474, 32552.83306416462, 33243.13940489449, 33041.69654734978, 32254.865185980023, 31522.082281387968, 31403.20329138921, 31847.708188781005, 31219.357857317147  …  31235.523767621067, 30828.43809765163, 29476.666345528352, 29392.489540248822, 29757.8978512735, 29910.742745430434, 30440.15318684404, 30690.080246720816, 30706.692486452415, 31467.601133888034], [29576.147776884864, 29540.30815757877, 29793.023211372885, 30221.719047433853, 30302.093637263206, 30672.29442645085, 30985.37634985721, 31330.906666834246, 31624.54356011735, 32234.051578586317  …  38028.15723381824, 38190.13341222716, 37964.13733557745, 38319.16126082298, 38715.36585999489, 38933.93296060209, 38712.926357006916, 38699.5794735714, 38972.050103075635, 39352.345180038385], [34346.71094688274, 34305.090481160245, 34626.68140468615, 35102.85572859825, 35151.9158814585, 35602.584835051115, 35913.541443475355, 36361.123950002984, 36639.56640947833, 37292.12291982345  …  44180.18635915802, 44318.331501139044, 44007.15208787922, 44439.30308260304, 44992.85488751371, 45203.29642692993, 44885.445102000696, 44879.53549032289, 45224.04039158543, 45771.873857511506], [28335.329312139656, 28300.993284908534, 28566.299175070595, 28959.133187587868, 28999.606803520088, 29371.399410694394, 29627.932209864408, 29997.178561761877, 30226.887857534544, 30765.2335420458  …  36447.74405020752, 36561.7109478519, 36304.99433928022, 36661.51001168347, 37118.1788527766, 37291.78878967954, 37029.567991359196, 37024.6926834074, 37308.90213338987, 37760.85346256466], [978.0617717704339, 976.8765815346229, 985.4879036936139, 995.9881567731888, 996.6271011888025, 1008.5599944301928, 1011.0814950160697, 1019.233115984231, 1024.682497021224, 1042.744245568732  …  1244.0857219436398, 1247.4851622874362, 1234.2360535867895, 1247.8859632752399, 1265.303882980632, 1275.4998159098313, 1264.9148823088965, 1260.1569671580805, 1270.0438460780917, 1284.6111956850255], [0.0019383188997990075, -0.003952295097048086, 0.00043121555853309346, 0.006256067040482538, 0.00632983693062017, 0.0061267503866178075, 0.006226730126539071, 0.007781104748443957, 0.007250422190755446, 0.005772533711265515  …  0.002921076419133861, 0.001301248358178686, 0.007114594551428599, 0.002698235363678414, 0.006125895665054948, 0.004582409406319821, 0.003548467284302692, 0.009408303467589363, 0.005313439829667699, 0.002561799916292351], [2.3548476e6, 2.3588626485893e6, 2.3553371402178714e6, 2.3432018390445355e6, 2.346870717237858e6, 2.334370945877865e6, 2.323148381711212e6, 2.3263953554424085e6, 2.3149211088462686e6, 2.2990184059278253e6  …  2.364992053356945e6, 2.3491910698544066e6, 2.322100359571532e6, 2.335686258811865e6, 2.3338108755838843e6, 2.320080094864146e6, 2.331080316149987e6, 2.3447280090234405e6, 2.354336312917205e6, 2.3621266494370117e6], [0.0016459319014481277, 0.0016010860580926674, 0.0013454414221782392, 0.000882623037192628, 0.001116544463863402, 0.0006506009200479771, 0.00027245756745887436, 0.0005683215599217866, 0.0002074990646606677, 0.0  …  0.0030529516170180555, 0.0021996308324380657, 0.00106577129490818, 0.001624261945893235, 0.0015656142516685156, 0.0009761718174434832, 0.001451688096223678, 0.0021359814855953325, 0.0025028436155913082, 0.0027018047220479183], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 517.4556387808753 257.93033379374606 … 136.83121862733822 504.29279899424546; … ; 701.9729437980611 350.10250290902496 … 179.78639375822763 662.0366336947989; 707.7471299158308 352.9823247453998 … 181.15402702355033 668.8514250556568], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 517.8675309753778 258.13564509630606 … 136.94013561788393 504.69421363171887; … ; 608.0375677331926 303.2531042782543 … 155.72805552990417 573.4453842680539; 610.615298105838 304.5387234224978 … 156.29229076098562 577.0576736177572])

Now we can experiment with changing expectations of the agents in the model. We will change the function estimate_next_value to make the agents expect the last value of the time series (so to represent backward looking expectations)

import BeforeIT: estimate_next_value
+function estimate_next_value(data)
+    return data[end]
+end
estimate_next_value (generic function with 2 methods)

Run the model again, with the same seed

Random.seed!(1234)
+model = Bit.init_model(par, init, T)
+data_back = Bit.run_one_sim!(model)
BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999997, 72490.2322963416, 72587.23001804914, 72505.10129687462, 72703.30549091243, 73132.93795654722, 73375.41563241303, 73267.51204626384, 73207.36995089537, 73499.53729921684  …  79393.9862506089, 79768.39970424859, 80188.54451956502, 80511.38690713247, 80812.25199892446, 80945.95383720999, 81339.56533991925, 81958.64122943203, 82264.15259624796, 82783.02055420596], [72421.99999999997, 72417.20192814225, 72441.04751369418, 72286.18594762367, 72410.7678222182, 72765.29016381004, 72932.99834423827, 72752.37698185901, 72619.42343638456, 72835.79181404722  …  76951.54186110893, 77236.54649232139, 77565.13400053924, 77798.95673809857, 78011.01413520466, 78061.35908070715, 78361.91840143652, 78878.78474123425, 79093.05280282177, 79511.73458584001], [64900.920495538034, 64966.370940930356, 65050.9422449612, 64967.955712702955, 65154.18031071537, 65554.97607960913, 65761.88039050321, 65648.59133158572, 65594.95039151702, 65844.43001993821  …  71170.93131307513, 71523.89783263279, 71902.03314705698, 72184.16135826243, 72453.34331306168, 72583.20925248862, 72963.47714261753, 73535.29142082007, 73820.45902188777, 74302.8395838177], [64900.920495538034, 64900.92049553802, 64919.9369752236, 64771.79733955991, 64892.018200133425, 65225.4235834011, 65365.36893585753, 65187.02398230369, 65068.141103352864, 65249.814805268434  …  68981.45765026637, 69253.72554475299, 69549.7202172306, 69752.2755776783, 69941.85472536166, 69996.6297522835, 70292.45875904441, 70771.96907925108, 70974.84480272894, 71366.65973784155], [40512.94792630534, 40529.30927216214, 40594.18064386479, 40611.48879899371, 40621.51503252601, 40694.63647153857, 40916.3264592606, 40999.072249545665, 40923.53272694446, 41124.71459732294  …  43708.68385338441, 43793.80949678354, 44034.421577399444, 44277.895489776354, 44462.62521992848, 44455.83358571363, 44531.34634514879, 44752.995567425176, 44825.80423338178, 44983.57271961373], [40512.94792630534, 40488.47797275464, 40512.42853695454, 40488.870140512976, 40458.06547234161, 40490.05979660878, 40669.62134640827, 40710.81270402602, 40594.86570278529, 40753.333434313136  …  42364.04763228379, 42403.79167458754, 42593.81225523892, 42786.17234151741, 42921.39370854697, 42871.60289377306, 42901.16026587707, 43071.25949058154, 43097.86935459811, 43205.98440187071], [14866.888022051655, 14892.350544956298, 14829.704995510676, 15017.366693106787, 15110.071033252632, 15394.38203437527, 15222.967754499565, 15301.655337827731, 15631.046584821495, 15704.474027443799  …  18371.20786350145, 18342.30696263774, 18399.164316922634, 18439.156549421354, 18432.401482046185, 18383.918013383365, 18424.475822221917, 18481.188995042758, 18536.44030796568, 18537.81498428104], [14866.888022051655, 14877.347229210163, 14799.839640205772, 14972.024613506199, 15049.272353962542, 15316.992683781267, 15131.180824860108, 15194.071239667335, 15505.509779389648, 15562.653083860916  …  17806.04347645437, 17760.121172654584, 17797.225954036843, 17817.94101162568, 17793.469393487634, 17728.78763327773, 17749.99983017646, 17786.699567422154, 17821.901834325246, 17805.267492823747], [15944.236265986641, 16068.56077295712, 16259.692493987639, 15810.498066824244, 15819.347462786392, 16169.331346655112, 16646.934600045013, 16406.221061254877, 16050.413839677123, 15792.766392949809  …  16882.082594714044, 17306.781632316623, 17479.387031594124, 16939.059824444354, 18002.876352622174, 17161.32966410289, 17630.37664749285, 17745.515905480923, 17801.032943911792, 17888.768377634595], [15944.236265986641, 16052.372482859135, 16226.947304947904, 15762.761278043565, 15755.694854479521, 16088.046235654037, 16546.56185804828, 16290.870894352878, 15921.508991984525, 15650.148115653905  …  16362.729053422101, 16757.463470909774, 16907.53966761533, 16368.382574083593, 17378.833120965897, 16549.767514088027, 16984.970726901574, 17078.671732882747, 17114.842785626668, 17181.86886378097], [15944.236265986641, 15957.287851570194, 15978.16005644515, 15972.32185453842, 16003.147435960009, 16044.55589080617, 16100.195819946466, 16105.072021346155, 16092.77074642463, 16133.558637222019  …  17196.41907065144, 17290.333600989597, 17387.387696252754, 17449.089575860224, 17532.73895190181, 17589.864066073817, 17630.186106408484, 17786.39819324528, 17847.061709871054, 17941.10023043511], [15944.236265986641, 15941.211663505299, 15945.981842020192, 15924.096469640075, 15938.755268216391, 15963.898040547141, 16003.119641060775, 15991.839197120826, 15963.525719926205, 15987.862798871605  …  16667.395409513825, 16741.537500964194, 16818.550139042793, 16861.22941339237, 16924.992341803194, 16963.03063898694, 16984.78716107057, 17118.01773872082, 17159.09724521288, 17232.132750776193], [3173.2320350842083, 3173.404482611808, 3177.962049131049, 3181.534168001348, 3186.6057676680452, 3162.971379750547, 3185.3728024464895, 3211.389913903726, 3211.1469263922454, 3216.2162889554656  …  3377.2735212016582, 3368.596300360713, 3397.0018828670604, 3406.891342146883, 3429.343494617805, 3465.715140501009, 3424.0393139228077, 3462.8091404888087, 3468.4878441672513, 3469.8114573038447], [3173.2320350842083, 3170.2074326028737, 3171.561991559338, 3171.928131307597, 3173.7837616254483, 3147.070754413346, 3166.166587600034, 3188.8110176927657, 3185.357410333671, 3187.1719014726855  …  3273.3764484733933, 3261.6768761980616, 3285.8671749601226, 3292.1131074889836, 3310.4703459651428, 3342.210712572133, 3298.6934242842362, 3332.6830788710963, 3334.7853657606142, 3332.697041120869], [34195.564496956766, 33751.81903625656, 33718.553397428805, 34096.19557014068, 34589.666211061405, 35554.50807082578, 35880.833795629995, 35410.372610104765, 34654.83786299708, 34891.579113936896  …  42257.88459506106, 43556.76698593244, 44048.559139250974, 44026.93601613963, 43883.53321037021, 44136.83844396937, 43568.332419321545, 44273.53450783099, 45575.25299277101, 47367.27374439971], [34195.564496956766, 33717.815727210174, 33650.648029258184, 33993.24859912957, 34450.48711533846, 35375.77141974447, 35664.49020086474, 35161.40653952781, 34376.516279444004, 34576.48695202252  …  40957.88017387531, 42174.2729055275, 42607.48729929946, 42543.66769736069, 42362.37507182052, 42563.97548160149, 41973.399976530134, 42609.815704493594, 43818.4285341269, 45495.49017184529], [33097.63671130043, 32751.80732999047, 32814.9015127426, 33030.447832190555, 33437.2942487138, 34679.919966847476, 35291.64697702214, 34849.80921246918, 34052.46106354455, 34013.99683243648  …  41825.87265605161, 43231.26537342162, 43772.987545602155, 43171.660972649384, 43969.18426604281, 43191.965869959386, 42814.96589426572, 43294.5937463478, 44474.37788178248, 45994.40927172321], [33097.63671130043, 32718.81148389185, 32748.815997672005, 32930.718683568426, 33302.751973903694, 34505.57997197834, 35078.855885943136, 34604.78439571511, 33778.97731721877, 33706.829771803226  …  40539.15847492638, 41859.10273135791, 42340.93117565141, 41717.20688648901, 42445.05715961654, 41652.77444203328, 41247.612398048615, 41667.661754145745, 42759.989705855325, 44176.8763444807], [29576.147776884864, 29605.9743499166, 29630.51605850301, 29621.52028834414, 29670.19872436757, 29797.47587722702, 29885.84169878953, 29870.63568451899, 29828.57668197106, 29866.62482710162  …  31932.347505563954, 32140.175933659102, 32317.655280550214, 32447.012715307334, 32581.823888881678, 32648.00365238824, 32832.43569396297, 33114.18488840261, 33243.15116119836, 33477.211522247584], [34346.71094688274, 34381.34847608993, 34440.15896747447, 34369.108037778635, 34502.34968088469, 34766.618072024066, 34874.68502974604, 34777.333827706345, 34764.21981125122, 34969.448029893974  …  38084.0275202315, 38235.60682025879, 38430.48130592309, 38578.90876531549, 38709.18542987379, 38769.408887287325, 38960.890410799075, 39253.60262673311, 39407.10950365351, 39646.45755229588], [28335.329312139656, 28363.90456052843, 28412.422004977958, 28353.806450959455, 28463.72806299792, 28681.74404424585, 28770.897059204075, 28690.584322039995, 28679.765528489857, 28849.074583100046  …  31418.538531599595, 31543.58833301491, 31704.355771107344, 31826.80536889713, 31934.280934684357, 31983.96404701401, 32141.93236119369, 32383.41391222208, 32510.05392488426, 32707.51113669671], [978.0617717704339, 979.0481149238877, 980.2672189836588, 977.3273865802095, 981.6319054630933, 990.882130357941, 1001.3536619676468, 1000.6218193604554, 1002.1538982948351, 1008.3571629426834  …  1154.5562872797707, 1148.115078714858, 1153.896560583714, 1158.2398776396194, 1162.3339943062258, 1165.7967128130404, 1170.1510378554588, 1167.503905684306, 1170.1983570358918, 1179.1705092741427], [0.0019383188997990075, 0.004220038374121549, 0.0019199908213991534, -0.0007474170360397547, -0.0010481511336649652, 0.0016830070483127013, 0.0054441848547275296, 0.006613535556129424, 0.005828394414379989, 0.0014432461329660917  …  -0.004019207078191589, 0.00383838573503259, 0.008278433273877672, 0.0033136855806901178, 0.008655460345740273, 0.002139581764054821, 0.005604299983171135, 0.006587137028002177, 0.005457577503050537, 0.006207256876176848], [2.3548476e6, 2.352396197078055e6, 2.347912556596515e6, 2.371263955485633e6, 2.3706833348181024e6, 2.375510682728357e6, 2.3940300436198367e6, 2.403269573782989e6, 2.3955011040550005e6, 2.402484091914563e6  …  2.4409002553381943e6, 2.45056745380684e6, 2.459540835761115e6, 2.471228035481667e6, 2.474584140514336e6, 2.475373467875146e6, 2.4713209824194047e6, 2.4703032902082065e6, 2.492990881581279e6, 2.5109120656649987e6], [0.0016459319014481277, 0.0015185270190031042, 0.0012626928046478307, 0.0021303084027282575, 0.0019244578504459316, 0.002020893115019896, 0.002763022382275168, 0.0030898455260937982, 0.0026769003470356926, 0.002798564041978256  …  0.003209511197432074, 0.0034495394152826765, 0.003744303065943746, 0.0040105279528508, 0.004045821605016225, 0.0038267701485827908, 0.003511042915685888, 0.0033617665162184803, 0.004141475587654299, 0.004684386395842744], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 518.6059091613043 258.50369622511613 … 137.13538556670355 505.41380923410765; … ; 523.8630084431564 276.34826803803344 … 153.70388180712726 565.5072334601856; 522.7529148261692 277.88492798213116 … 154.354211279906 567.6853642693837], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086171; 518.0834390395163 258.2432663779743 … 136.9972283642248 504.90462950861695; … ; 503.66925666392325 265.69565802465263 … 147.77893962435684 543.7081895922205; 502.09560776314225 266.9039193206622 … 148.2546903619962 545.2524890958439])

Plot the results, comparing the two cases as different lines

p1 = plot(data.real_gdp, title = "gdp", titlefont = 10, label = "forward looking")
+plot!(p1, data_back.real_gdp, titlefont = 10, label = "backward looking")
+
+p2 = plot(data.real_household_consumption, title = "consumption", titlefont = 10)
+plot!(p2, data_back.real_household_consumption, titlefont = 10, label = "backward looking")
+
+plot(p1, p2, layout = (2, 1), legend = true)
Example block output

Plot all time series

p1 = plot(data.real_gdp, title = "gdp", titlefont = 10)
+plot!(p1, data_back.real_gdp, titlefont = 10)
+p2 = plot(data.real_household_consumption, title = "household cons.", titlefont = 10)
+plot!(p2, data_back.real_household_consumption, titlefont = 10)
+p3 = plot(data.real_government_consumption, title = "gov. cons.", titlefont = 10)
+plot!(p3, data_back.real_government_consumption, titlefont = 10)
+p4 = plot(data.real_capitalformation, title = "capital form.", titlefont = 10)
+plot!(p4, data_back.real_capitalformation, titlefont = 10)
+p5 = plot(data.real_exports, title = "exports", titlefont = 10)
+plot!(p5, data_back.real_exports, titlefont = 10)
+p6 = plot(data.real_imports, title = "imports", titlefont = 10)
+plot!(p6, data_back.real_imports, titlefont = 10)
+p7 = plot(data.wages, title = "wages", titlefont = 10)
+plot!(p7, data_back.wages, titlefont = 10)
+p8 = plot(data.euribor, title = "euribor", titlefont = 10)
+plot!(p8, data_back.euribor, titlefont = 10)
+p9 = plot(data.nominal_gdp ./ data.real_gdp, title = "gdp deflator", titlefont = 10)
+plot!(p9, data_back.nominal_gdp ./ data_back.real_gdp, titlefont = 10)
+
+plot(p1, p2, p3, p4, p5, p6, p7, p8, p9, layout = (3, 3), legend = false)
Example block output

Note that, importantly, once the function estimate_next_value has been changed, the model will use the new expectations in all the simulations, unless the function is changed again. To restore the original expectations you could close the Julia session.

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In this tutorial we illustrate how to calibrate the model to the Italian data for a specific quarter

import BeforeIT as Bit
+using Dates, FileIO

We start from loading the calibration object for italy, which contains 4 datasets: calibration_data, figaro, data, and ea. These are saved within BeforeIT.jl for the Italian case, and would need to be appropriately generated for other countries.

cal = Bit.ITALY_CALIBRATION
+fieldnames(typeof(cal))
(:calibration, :figaro, :data, :ea, :max_calibration_date, :estimation_date)

These are essentially 4 dictionaries with well defined keys, such as

println(keys(cal.calibration))
+println(keys(cal.figaro))
+println(keys(cal.data))
+println(keys(cal.ea))
["social_benefits", "government_debt_quarterly", "capital_taxes", "interest_government_debt", "dwellings_eu7", "pension_benefits", "nace64_capital_consumption_eu20", "fixed_assets_eu7", "firm_interest", "dwellings", "nominal_nace64_output_eu20", "social_contributions", "nominal_nace64_output", "income_tax", "wages", "employees", "fixed_assets", "firms", "mixed_income", "nominal_nace64_output_eu7", "firm_debt_quarterly", "bank_equity_quarterly", "corporate_tax", "property_income", "household_cash_quarterly", "gross_capitalformation_dwellings", "gross_fixed_capitalformation", "unemployment_benefits", "population", "years_num", "government_deficit", "capital_consumption", "firm_cash_quarterly", "quarters_num", "nace64_capital_consumption"]
+["intermediate_consumption", "household_consumption", "capitalformation", "operating_surplus", "compensation_employees", "imports", "government_consumption", "inventory_changes", "exports", "taxes_products_government", "fixed_capitalformation", "taxes_products", "years_num", "quarters_num", "taxes_production", "taxes_products_capitalformation", "taxes_products_household"]
+["unemployment_rate", "nominal_nace10_gva_quarterly", "operating_surplus", "nominal_household_consumption_growth_quarterly", "nominal_exports", "real_capitalformation_growth", "household_consumption_deflator", "gdp_deflator_growth", "gva_deflator_quarterly", "capitalformation_deflator_growth", "nominal_final_consumption_growth_quarterly", "real_fixed_capitalformation_growth", "real_exports_growth", "nominal_imports", "nominal_nace10_gva_growth_quarterly", "gdp_deflator_quarterly", "capitalformation_deflator_quarterly", "real_government_consumption_growth_quarterly", "real_final_consumption", "real_capitalformation_quarterly", "nominal_capitalformation_growth", "fixed_capitalformation_deflator", "real_imports_growth", "nace10_gva_deflator", "real_household_consumption_growth", "fixed_capitalformation_deflator_growth", "real_gva", "nominal_final_consumption", "nominal_exports_quarterly", "real_household_consumption", "real_imports_quarterly", "real_nace10_gva_growth", "real_gva_growth_quarterly", "nominal_household_consumption_growth", "nominal_imports_quarterly", "employed_quarterly", "nace10_gva_deflator_growth", "nominal_capitalformation_growth_quarterly", "nace10_gva_deflator_quarterly", "real_government_consumption_growth", "nominal_government_consumption_quarterly", "final_consumption_deflator", "real_capitalformation_growth_quarterly", "compensation_employees", "gva_deflator_growth", "imports_deflator_quarterly", "real_household_consumption_growth_quarterly", "gdp_deflator_growth_quarterly", "nominal_gdp_quarterly", "exports_deflator_growth_quarterly", "government_consumption_deflator_growth_quarterly", "exports_deflator_quarterly", "real_exports_growth_quarterly", "wages", "nominal_nace10_gva", "gdp_deflator", "household_consumption_deflator_growth", "nominal_nace10_gva_growth", "nominal_gdp_growth", "nominal_household_consumption", "fixed_capitalformation_deflator_quarterly", "nominal_exports_growth_quarterly", "wages_quarterly", "nominal_exports_growth", "euribor", "years_num", "real_final_consumption_quarterly", "nominal_gva_quarterly", "quarters_num", "real_capitalformation", "nominal_government_consumption_growth", "real_final_consumption_growth", "nominal_imports_growth", "nominal_government_consumption", "imports_deflator_growth", "nominal_fixed_capitalformation_quarterly", "real_nace10_gva_quarterly", "nominal_final_consumption_quarterly", "compensation_employees_quarterly", "nominal_fixed_capitalformation_growth_quarterly", "real_gdp_growth", "real_government_consumption", "exports_deflator_growth", "nominal_gdp", "imports_deflator_growth_quarterly", "real_nace10_gva", "real_exports_quarterly", "government_consumption_deflator_growth", "real_fixed_capitalformation_growth_quarterly", "nominal_capitalformation_quarterly", "nominal_gdp_growth_quarterly", "employed", "imports_deflator", "euribor_yearly", "fixed_capitalformation_deflator_growth_quarterly", "real_imports", "real_final_consumption_growth_quarterly", "nominal_household_consumption_quarterly", "real_fixed_capitalformation", "household_consumption_deflator_growth_quarterly", "nominal_fixed_capitalformation_growth", "gva_deflator_growth_quarterly", "final_consumption_deflator_growth_quarterly", "unemployment_rate_quarterly", "nominal_gva_growth_quarterly", "nominal_government_consumption_growth_quarterly", "final_consumption_deflator_quarterly", "real_gva_growth", "government_consumption_deflator_quarterly", "real_gdp_growth_quarterly", "exports_deflator", "real_gdp_quarterly", "final_consumption_deflator_growth", "capitalformation_deflator_growth_quarterly", "real_fixed_capitalformation_quarterly", "real_gdp", "nominal_fixed_capitalformation", "real_nace10_gva_growth_quarterly", "nace10_gva_deflator_growth_quarterly", "real_government_consumption_quarterly", "government_consumption_deflator", "nominal_gva_growth", "household_consumption_deflator_quarterly", "real_household_consumption_quarterly", "capitalformation_deflator", "nominal_capitalformation", "operating_surplus_quarterly", "nominal_imports_growth_quarterly", "gva_deflator", "nominal_final_consumption_growth", "real_gva_quarterly", "nominal_gva", "real_imports_growth_quarterly", "real_exports"]
+["nominal_nace10_gva_quarterly", "operating_surplus", "nominal_household_consumption_growth_quarterly", "nominal_exports", "real_capitalformation_growth", "household_consumption_deflator", "gdp_deflator_growth", "gva_deflator_quarterly", "capitalformation_deflator_growth", "nominal_final_consumption_growth_quarterly", "real_fixed_capitalformation_growth", "real_exports_growth", "nominal_imports", "nominal_nace10_gva_growth_quarterly", "gdp_deflator_quarterly", "capitalformation_deflator_quarterly", "real_government_consumption_growth_quarterly", "real_final_consumption", "real_capitalformation_quarterly", "nominal_capitalformation_growth", "fixed_capitalformation_deflator", "real_imports_growth", "nace10_gva_deflator", "real_household_consumption_growth", "fixed_capitalformation_deflator_growth", "real_gva", "nominal_final_consumption", "nominal_exports_quarterly", "real_household_consumption", "real_imports_quarterly", "real_nace10_gva_growth", "real_gva_growth_quarterly", "nominal_household_consumption_growth", "nominal_imports_quarterly", "employed_quarterly", "nace10_gva_deflator_growth", "nominal_capitalformation_growth_quarterly", "nace10_gva_deflator_quarterly", "real_government_consumption_growth", "nominal_government_consumption_quarterly", "final_consumption_deflator", "real_capitalformation_growth_quarterly", "compensation_employees", "gva_deflator_growth", "imports_deflator_quarterly", "real_household_consumption_growth_quarterly", "gdp_deflator_growth_quarterly", "nominal_gdp_quarterly", "exports_deflator_growth_quarterly", "government_consumption_deflator_growth_quarterly", "exports_deflator_quarterly", "real_exports_growth_quarterly", "wages", "nominal_nace10_gva", "gdp_deflator", "household_consumption_deflator_growth", "nominal_nace10_gva_growth", "nominal_gdp_growth", "nominal_household_consumption", "fixed_capitalformation_deflator_quarterly", "nominal_exports_growth_quarterly", "wages_quarterly", "nominal_exports_growth", "euribor", "years_num", "real_final_consumption_quarterly", "nominal_gva_quarterly", "quarters_num", "real_capitalformation", "nominal_government_consumption_growth", "real_final_consumption_growth", "nominal_imports_growth", "nominal_government_consumption", "imports_deflator_growth", "nominal_fixed_capitalformation_quarterly", "real_nace10_gva_quarterly", "nominal_final_consumption_quarterly", "compensation_employees_quarterly", "nominal_fixed_capitalformation_growth_quarterly", "real_gdp_growth", "real_government_consumption", "exports_deflator_growth", "nominal_gdp", "imports_deflator_growth_quarterly", "real_nace10_gva", "real_exports_quarterly", "government_consumption_deflator_growth", "real_fixed_capitalformation_growth_quarterly", "nominal_capitalformation_quarterly", "nominal_gdp_growth_quarterly", "employed", "imports_deflator", "euribor_yearly", "fixed_capitalformation_deflator_growth_quarterly", "real_imports", "real_final_consumption_growth_quarterly", "nominal_household_consumption_quarterly", "real_fixed_capitalformation", "household_consumption_deflator_growth_quarterly", "nominal_fixed_capitalformation_growth", "gva_deflator_growth_quarterly", "final_consumption_deflator_growth_quarterly", "nominal_gva_growth_quarterly", "nominal_government_consumption_growth_quarterly", "final_consumption_deflator_quarterly", "real_gva_growth", "government_consumption_deflator_quarterly", "real_gdp_growth_quarterly", "exports_deflator", "real_gdp_quarterly", "final_consumption_deflator_growth", "capitalformation_deflator_growth_quarterly", "real_fixed_capitalformation_quarterly", "real_gdp", "nominal_fixed_capitalformation", "real_nace10_gva_growth_quarterly", "nace10_gva_deflator_growth_quarterly", "real_government_consumption_quarterly", "government_consumption_deflator", "nominal_gva_growth", "household_consumption_deflator_quarterly", "real_household_consumption_quarterly", "capitalformation_deflator", "nominal_capitalformation", "operating_surplus_quarterly", "nominal_imports_growth_quarterly", "gva_deflator", "nominal_final_consumption_growth", "real_gva_quarterly", "nominal_gva", "real_imports_growth_quarterly", "real_exports"]

The object also contains two time variables related to the data

println(cal.max_calibration_date)
+println(cal.estimation_date)
2016-12-31T00:00:00
+1996-12-31T00:00:00

We can calibrate the model on a specific quarter as follows

calibration_date = DateTime(2010, 03, 31)
+parameters, initial_conditions = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.01)
(Dict{String, Any}("c_E_g" => [0.012978039260418144; 0.0003985263617433438; … ; 0.0006434280333680591; 0.0004140786749482401;;], "T" => 12, "C" => [4.382915017591217e-5 0.00015893321363428918 0.00010502110395244288; 0.00015893321363428918 0.0007927471570727974 0.0005507616320609982; 0.00010502110395244288 0.0005507616320609982 0.0005321192085097513], "xi_pi" => 0.3251309110739497, "L" => 23301.0, "sigma_E" => 0.028155765964945748, "H_act" => 233911.0, "beta_I" => 0.7789361541128721, "theta" => 0.05, "tau_SIW" => 0.12024155738392799…), Dict{String, Any}("sb_inact" => 0.14744411918306366, "K_H" => 2.5717239e6, "E_CB" => 1.4744936e6, "L_G" => 1.8761466e6, "C_G" => [69620.85113236062; 69628.26021546751; … ; 79003.25341430637; 79057.21957369307;;], "w_UB" => 0.25418566007666155, "pi" => [0.01552341251616679, 0.007364847580140943, -0.0014413096223191424, 0.012659687617788129, -0.00543339680120708, 0.0031342727675487403, 0.008259917102933556, 0.0024505137911164376, 0.015517671905839303, -0.00045722860474695093  …  0.018003552480356795, -0.005662735440323672, 0.011943008727627318, 0.0007471090186489046, 0.0028493451107789447, 0.010472796408025353, 0.0006497589705015978, -0.0008405102979527736, 0.0020667266123554308, -0.0017542487268334779], "sb_other" => 0.02967997863525455, "D_RoW" => 0.0, "Y" => [700366.76824049, 702852.9431179382, 712326.5572179741, 717255.0622122793, 730150.7303844375, 724630.8126553466, 728866.2558510749, 729869.1801729304, 725864.7575767277, 730869.7451354716  …  829111.1076237833, 838773.0772424112, 830807.0937442156, 820293.7886396761, 797832.2947409479, 777930.7056982398, 774054.8681846666, 778964.3016911813, 781534.6270508396, 784197.360650308]…))

In general, we might want to repeat this operation for multiple quarters. In the following, we loop over all quarters from 2010Q1 to 2019Q4 and save the parameters and initial conditions in separate files. We can then load these files later to run the model for each quarter.

start_calibration_date = DateTime(2010, 03, 31)
+end_calibration_date = DateTime(2019, 12, 31)
+
+for calibration_date in collect(start_calibration_date:Dates.Month(3):end_calibration_date)
+    params, init_conds = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.0005)
+    save(
+        "data/italy/parameters/" *
+        string(year(calibration_date)) *
+        "Q" *
+        string(Dates.quarterofyear(calibration_date)) *
+        ".jld2",
+        params,
+    )
+    save(
+        "data/italy/initial_conditions/" *
+        string(year(calibration_date)) *
+        "Q" *
+        string(Dates.quarterofyear(calibration_date)) *
+        ".jld2",
+        init_conds,
+    )
+end
diff --git a/previews/PR34/examples/multithreading_speedup.html b/previews/PR34/examples/multithreading_speedup.html new file mode 100644 index 0000000..c4f9530 --- /dev/null +++ b/previews/PR34/examples/multithreading_speedup.html @@ -0,0 +1,11 @@ + +Multithreading within the model · BeforeIT.jl

Multithreading speedup for large models

In this tutorial we illustrate how to make use of multi threading in BeforeIT.jl to allow for faster executions of single simulation runs.

import BeforeIT as Bit
+using FileIO, Plots, StatsPlots

First, we initialise the model, this time we use the Italy 2010Q1 scenario, and we want to simulate the model for a large number of epochs

parameters = Bit.ITALY2010Q1.parameters
+initial_conditions = Bit.ITALY2010Q1.initial_conditions
+T = 50
+model = Bit.init_model(parameters, initial_conditions, T);

The model is in scale 1:2000, so it has around 30,000 households

model.prop.H
29915

Note that the households number is actually the sum of active and inactive households, the owners of firms and of the bank

length(model.w_act) + length(model.w_inact) + length(model.firms) + 1
29915

Let's fist check how many threads we have available in this Julia session

Threads.nthreads()
2

Then we need to first compile the code not to count compilation time, we can do that just by executing the function one time

Bit.run_one_sim!(model; multi_threading = false)
BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([396922.2000000001, 396172.2093906882, 395743.33517925587, 395331.63939922885, 394612.56126326194, 393837.0025384103, 392802.4322489179, 392149.5691570529, 391975.54129049374, 390552.28574070474  …  391752.5204130744, 391663.70160739915, 392077.24847341236, 393131.09248909476, 392524.6228093809, 391921.153101434, 392366.47052792023, 392596.10075575474, 392534.27477934025, 393112.3554775943], [396922.2000000001, 396867.8039291508, 397134.2382261476, 397417.65374190465, 397391.29336887784, 397306.63710026845, 396958.70629294624, 396994.75224651897, 397515.3036061619, 396767.3517622322  …  420967.0281760678, 421610.5472220246, 422796.7546275544, 424677.5049092503, 424766.86319959816, 424858.4781772167, 426088.0295358738, 427085.9533320845, 427768.45033796586, 429150.5969427937], [359114.6247235547, 358485.20059499925, 358050.43529649155, 357665.3231156616, 356983.0203988716, 356291.34075613815, 355338.0754042468, 354747.20339953667, 354574.81528498634, 353242.8129122704  …  354847.0083528635, 354829.3772790228, 355344.3961531749, 356175.7173101415, 355556.7915766457, 355115.02680869424, 355608.71695669164, 355873.8191423933, 355764.0632894761, 356312.3305130148], [359114.6247235547, 359114.62472355453, 359308.86063717154, 359552.5866674251, 359496.7776314507, 359430.2046567126, 359097.9360833217, 359130.2635534506, 359585.9958125618, 358864.153470337  …  381309.3286699576, 381959.847979522, 383185.8595560369, 384756.68250719504, 384762.46908125345, 384959.13954599795, 386171.16618040635, 387137.5926092434, 387697.7166511803, 388976.96093007585], [244195.76918901538, 243377.26245895232, 243439.3136457106, 243247.68941206433, 243076.94129858178, 242553.0012598079, 242101.54516136018, 241620.84861277393, 241566.68841383213, 241102.29908669554  …  237229.3321375227, 236586.22050251154, 235612.76847358103, 237197.9325075997, 237548.3320309163, 236313.22086336935, 235700.45625963862, 235454.1600281812, 235804.8457962183, 235883.04841590923], [244195.76918901538, 243804.58141404198, 244294.91992630545, 244531.21473198914, 244788.60931735716, 244689.85044063482, 244663.24103073706, 244606.18212283653, 244980.7331595575, 244939.0880685448  …  254920.44528730828, 254675.74728495107, 254073.18136236773, 256231.64402788752, 257060.71413530043, 256173.14756976883, 255957.50532213078, 256138.9789864513, 256970.86840412708, 257507.42663223922], [83082.59811666666, 82930.30352424222, 83125.36899594638, 83712.3115103522, 83252.8092717046, 82806.02228694463, 83473.53060060795, 83934.27133317608, 83783.52115235814, 83861.84104038042  …  82929.83695351645, 82788.62657465755, 82717.14741121641, 82320.5588241843, 81676.91717887888, 81886.30107374724, 82037.98854690019, 81742.38838754482, 82132.88892057617, 81960.56943828572], [83082.59811666666, 83075.91158265003, 83417.52635838954, 84154.02946324476, 83839.04822280492, 83535.52874521296, 84356.77072367012, 84971.31674665034, 84967.62766988658, 85196.37907224555  …  89114.23715318243, 89118.6954794429, 89198.08944201682, 88926.28996308526, 88385.91489516252, 88768.0825146725, 89088.66458442181, 88923.51657322048, 89505.1996034877, 89474.23506310103], [93142.16753490093, 93256.24976950059, 93832.7577944172, 93621.68419293356, 92057.58124061306, 93086.79548142054, 93677.95058433709, 93285.0087923981, 92629.82384865677, 92720.68144489171  …  91691.41177962282, 91188.98897711361, 90959.7727006917, 93028.72287389894, 91748.89988468621, 90604.03699484233, 91208.78491207394, 91798.63963500051, 90804.42575677623, 90739.78211139077], [93142.16753490093, 93419.98800373195, 94162.5479819268, 94115.6901275679, 92705.8205053231, 93906.87373910903, 94669.16449378818, 94437.58674390054, 93938.95453006182, 94196.19491077287  …  98529.19666077962, 98161.3547170176, 98086.52975721024, 100493.719956982, 99285.21713390136, 98218.46299880186, 99047.63622451648, 99863.21679616936, 98955.1001925638, 99058.27460511305], [93142.16753490093, 92720.74855390166, 92841.59445053311, 92681.28939100704, 92529.29855602598, 92372.64204707407, 92184.78310368748, 91991.96058500907, 91797.44899870433, 91508.38586519481  …  91266.84005773412, 91245.10615842839, 91123.85120995216, 91810.58913669077, 91745.41045647366, 91451.02320326294, 91560.58131445284, 91203.61518730453, 91450.8636901566, 91563.19846619973], [93142.16753490093, 92883.54656135266, 93167.90103644435, 93170.33322079296, 93180.859499207, 93186.42873890584, 93160.19768825234, 93128.56234833982, 93094.81578583401, 92964.60742742948  …  98072.96297574136, 98221.76265225792, 98263.46392385612, 99177.83829295999, 99281.44108167411, 99136.63051463774, 99429.66743040866, 99215.91901860373, 99659.56288733677, 99957.17695522976], [22261.17425414399, 21963.989164931307, 22169.00043629242, 22143.39224517151, 22132.176587234266, 22111.417592705253, 22070.380438999542, 22046.944772284398, 22021.866315810956, 21979.169872059785  …  21209.83979084673, 21188.120077439562, 20934.322356826528, 21455.424222321748, 21479.401479268312, 21240.49690042815, 21236.52259694498, 20828.47207663674, 21080.500124963153, 21095.84034315401], [22261.17425414399, 22002.553280595737, 22246.916922843993, 22260.234483979217, 22288.02410879627, 22306.215283620153, 22303.90890478638, 22319.344622715646, 22333.099778836135, 22328.93607966027  …  22791.539963619514, 22808.176667363903, 22574.540061315285, 23177.09334007417, 23243.73417507697, 23025.56296701908, 23061.675110392633, 22658.268475354227, 22972.701876476698, 23029.783597810125], [94222.92562231854, 91785.75313272535, 93490.88316103289, 90485.69703141873, 94111.29722253713, 92636.9379063249, 92498.4826513025, 92196.99025170054, 94080.04368680644, 92117.16929341083  …  77739.62557015922, 78409.03916601274, 77295.24364853618, 77511.22182445611, 79494.60777364996, 79956.26429029646, 80218.88677238282, 76111.17699969646, 74336.64023725626, 76527.69936169963], [94222.92562231854, 91946.90948613537, 93819.47177563669, 90963.1555573829, 94773.99808095966, 93453.05299808345, 93477.21651594409, 93336.12524814458, 95409.67022155572, 93583.07874978239  …  83536.97153826394, 84404.24214514768, 83351.37601069782, 83731.03251249593, 86024.34910610323, 86675.84410356852, 87113.22185715089, 82797.59917525345, 81009.15369873733, 83543.31123434725], [117721.26046290137, 115177.3594947346, 118144.9884178577, 115735.74274754831, 117886.06777017836, 117245.75439609044, 118949.07674869538, 118887.54983300118, 120084.53581116491, 119249.70512468065  …  97837.68602775043, 97309.17361290143, 94507.68376061907, 96927.34354104711, 97944.1340587565, 96838.67012082538, 96799.64596307847, 92510.2642946698, 90544.52593149117, 91998.74384969531], [117721.26046290137, 115379.58655741096, 118560.22781611788, 116346.43613828858, 118716.18275757052, 118278.66882277431, 120207.68647119934, 120356.45861501817, 121781.68197490516, 121147.38903911998  …  105133.82246347053, 104749.49240454021, 101912.42194474486, 104705.18155120342, 105989.33207087626, 104977.0590095992, 105118.99845234957, 100637.35819901167, 98671.87156095516, 100432.6505920116], [193268.35344739148, 192929.60989151543, 192683.11304011, 192319.8514389849, 191971.29142796271, 191627.30558865768, 191205.5161586212, 190727.6861949626, 190347.17051350517, 189795.48259044535  …  190703.49869457725, 190751.6720185553, 191041.455191948, 191385.25764290945, 191293.69633490389, 191155.8271385961, 191309.2713432517, 191376.7663602279, 191407.4301564594, 191654.58669696347], [156704.01315554912, 156429.3563186198, 156250.37305505067, 156230.16967490967, 155909.27215810385, 155587.0065666723, 155085.20746263236, 154977.22985065042, 155175.7629865237, 154437.10398113614  …  155092.1810732473, 155026.14241390457, 155244.75260458826, 155711.4541704054, 155206.93542142434, 154920.42000911906, 155247.76354452147, 155436.6377442222, 155301.4436917399, 155584.4156015241], [117187.20342811482, 116981.80813558835, 116847.9599481952, 116832.85135224511, 116592.87611597487, 116351.8777990812, 115976.61980471955, 115895.87142995743, 116044.33950369919, 115491.95171614176  …  115981.83484618086, 115932.44947531077, 116095.93167574222, 116444.94284803011, 116067.65103476011, 115853.3876012271, 116098.18333237412, 116239.42821064458, 116138.32669695976, 116349.94021015936], [9142.258120614042, 9126.23438486386, 9116.949201331194, 9115.302001767031, 9102.456812804792, 9077.028600807887, 9047.351782993817, 9042.287353923297, 9051.881784957772, 9010.226340688425  …  9051.32858503912, 9051.562846563042, 9058.188356638675, 9079.005496826789, 9056.159820317567, 9038.779660979133, 9051.682068918457, 9060.415037943181, 9055.189441276949, 9073.328214527368], [0.001198754547512726, 0.0009324558800432037, 0.00257476458888517, 0.0023303188684264953, 0.0012612171608201717, 0.0013597842093902024, 0.0037128397396934965, 0.0023020133579496616, 0.003965866166762311, -0.0009157892312455784  …  0.008164928594897702, 0.00672175677598541, 0.007519904939370825, 0.004792608301805057, 0.004814109861014382, 0.004479727551071067, 0.008415866178256737, 0.0043965241558008294, 0.0059096041298032365, 0.006578791547398266], [2.3547772e6, 2.3410548719547885e6, 2.329794179560289e6, 2.318507219360058e6, 2.344676152610005e6, 2.3582239007479628e6, 2.3505385285022664e6, 2.358061340134851e6, 2.3619087722490663e6, 2.357287485939005e6  …  2.286738707546852e6, 2.306409012533662e6, 2.310835188726549e6, 2.313030962409457e6, 2.334592156482466e6, 2.367411230635588e6, 2.369377579492809e6, 2.3362355630861027e6, 2.315847288979977e6, 2.338474620495389e6], [0.0016491658906325757, 0.000978197033034914, 0.0004965709814981135, 4.150055970124632e-5, 0.0011744410336181088, 0.0016858597524088874, 0.0013310242306556167, 0.0016011259635581557, 0.001737730196683484, 0.0013945652276244175  …  0.0005425348930178238, 0.00150735213687451, 0.0017651138241991213, 0.0018427806832188695, 0.0027351249551213408, 0.004016826680654516, 0.004002850050041588, 0.0024412576470404274, 0.0015477930765496993, 0.0025487889304320653], [6440.371182186954 427.8368152381106 … 462.939057344088 4577.023086943648; 6429.0830732104905 427.0869409749767 … 462.12765899748115 4569.000888543637; … ; 6516.816485626034 433.9694843931399 … 451.84481280504235 4456.450996570989; 6526.797838468131 435.41449949765996 … 451.6221900269021 4464.702519658336], [6440.371182186954 427.8368152381106 … 462.939057344088 4577.023086943648; 6440.371182186951 427.83681523811043 … 462.93905734408787 4577.023086943646; … ; 7101.770898248892 472.92291593434595 … 492.4027474429197 4856.465433195308; 7125.136489542813 475.33075410451846 … 493.0242709039027 4874.000332946988])

Let's now compare the performance of single threading and multi threading

model = Bit.init_model(parameters, initial_conditions, T);
+@time data = Bit.run_one_sim!(model; multi_threading = false);
+
+model = Bit.init_model(parameters, initial_conditions, T);
+@time data = Bit.run_one_sim!(model; multi_threading = true);
  5.685034 seconds (3.78 M allocations: 6.420 GiB, 21.99% gc time)
+  2.655345 seconds (3.65 M allocations: 6.150 GiB, 9.56% gc time)

Is the speedup in line to what we would expect? Yes!

diff --git a/previews/PR34/examples/scenario_analysis_via_overload-e2befc76.svg b/previews/PR34/examples/scenario_analysis_via_overload-e2befc76.svg new file mode 100644 index 0000000..c101be5 --- /dev/null +++ b/previews/PR34/examples/scenario_analysis_via_overload-e2befc76.svg @@ -0,0 +1,46 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/scenario_analysis_via_overload.html b/previews/PR34/examples/scenario_analysis_via_overload.html new file mode 100644 index 0000000..976c2db --- /dev/null +++ b/previews/PR34/examples/scenario_analysis_via_overload.html @@ -0,0 +1,59 @@ + +Shocked simulations (advanced) · BeforeIT.jl

Scenario analysis via function overloading

In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.

import BeforeIT as Bit
+using Plots, StatsPlots
+
+parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Initialise the model and the data collector

T = 20
+model = Bit.init_model(parameters, initial_conditions, T);
+data = Bit.init_data(model);

Simulate the model for T quarters

data_vec_baseline = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999999, 72490.32715969233, 72745.01350851887, 73036.19868684297, 73101.97101584724, 73135.88215937368, 73338.00877368738, 73508.2692774224, 73822.52497256578, 74078.54126491581  …  74538.2788285288, 74675.61968507324, 74801.27856331534, 74838.48637448097, 75022.55143235985, 75162.20985954536, 75357.51802312113, 75480.63869547483, 75830.51292712508, 76421.36837097253], [72421.99999999999, 72417.29669592284, 72598.51324598843, 72815.6797901376, 72807.829229122, 72768.2195657863, 72895.81703027921, 72991.44147788413, 73229.6379957611, 73409.56702209338  …  73716.39677910489, 73777.82076542922, 73827.51626696206, 73789.82509366258, 73896.78848929412, 73959.76525690223, 74077.24441510497, 74123.52221381417, 74392.08385280793, 74896.20100186537], [64900.92049553802, 64966.37094093033, 65216.06270399384, 65470.60715239121, 65512.06600920255, 65559.83609434035, 65741.53158208827, 65889.20588388809, 66184.54135292272, 66416.058623472  …  66810.49076820773, 66923.94942845879, 67036.8797458268, 67068.29571476165, 67238.29935374917, 67364.09825784479, 67553.73811903397, 67655.28002546652, 67980.5731836729, 68537.47954022205], [64900.92049553802, 64900.920495538005, 65084.72490025257, 65272.93111892486, 65248.46386715041, 65230.25916627262, 65345.14282064378, 65425.9468026305, 65652.99691376244, 65816.28125515157  …  66073.81769313029, 66119.34613559599, 66164.19431563858, 66128.51287983608, 66229.34425528847, 66286.40779992139, 66406.04548921435, 66438.86085916402, 66691.04962407211, 67169.65363519284], [40512.94792630534, 40509.74867899371, 40428.33705746146, 40676.07232946786, 40783.93227281672, 40687.696455344994, 40859.781105636655, 40981.96126643634, 41042.59315818606, 41169.41067171808  …  41473.54754927279, 41573.89862920543, 41640.39700630889, 41698.480175325676, 41777.21045382879, 41863.7788287501, 41830.5770044632, 41955.60917679909, 42064.793923470614, 42132.624716022554], [40512.94792630534, 40468.93708592837, 40346.918940852105, 40553.25867331277, 40619.82919130329, 40483.1546686845, 40613.41693316324, 40693.82202618083, 40712.96993022377, 40797.6258759961  …  41016.24742385546, 41074.07015195804, 41098.3227344687, 41114.18747049956, 41150.31581354211, 41194.04233493299, 41119.90360183771, 41201.26144344637, 41266.86680615273, 41291.769523797004], [14866.888022051655, 14924.433192075354, 15178.264350186813, 15225.342731053921, 15261.570809239949, 15052.826337437726, 15043.546478547543, 15315.324315781883, 15332.566728847976, 15461.844654385159  …  15774.694870888425, 15964.269774665834, 15818.759370401805, 15880.40737271453, 15850.785525080835, 15930.826102461382, 15897.24955673825, 15997.157781051972, 16108.41970913961, 16370.700000502726], [14866.888022051655, 14909.397554629351, 15147.697035606572, 15179.372707402927, 15200.16253742891, 14977.15402709377, 14952.841370028464, 15207.644112681632, 15209.427089044244, 15322.21480147923  …  15600.75822044136, 15772.336929420668, 15612.83091909942, 15657.885924965587, 15612.934017475054, 15675.964837760039, 15627.165966122979, 15709.534267796067, 15802.859079829399, 16043.984345150859], [15944.236265986641, 16004.099383780507, 16010.117517688348, 16343.01925845685, 16088.328803570494, 15929.87177686036, 16098.984957588713, 15928.890308951986, 16148.067186371036, 16347.23487871681  …  16937.53341549329, 16325.29855286019, 16282.887608135441, 16253.517022174228, 16400.004941670166, 16305.576545302942, 16776.844662147458, 16339.386565195719, 16292.773367451584, 16925.345592990387], [15944.236265986641, 15987.976035383452, 15977.874944536456, 16293.674623323774, 16023.593889943068, 15849.790456992881, 16001.916079601235, 15816.896197154956, 16018.378060471789, 16199.609414061362  …  16750.77494864251, 16129.025184585016, 16070.917140075342, 16025.76744032153, 16153.912033911987, 16044.720025164379, 16491.817341580132, 16045.60989357382, 15983.715733415474, 16587.560685973524], [15944.236265986641, 15956.354350666841, 15984.69839797273, 16027.69775623241, 16058.987766760065, 16057.681318565476, 16102.060149125084, 16148.740821406034, 16184.744603563275, 16250.701803988897  …  16346.44443540244, 16367.021511490286, 16389.576380426664, 16403.816930967543, 16441.167806656995, 16469.023130948117, 16512.64056816554, 16520.151763364025, 16572.767398521522, 16653.123754498876], [15944.236265986641, 15940.279103058507, 15952.5070160645, 15979.305174341811, 15994.370913218732, 15976.957485253144, 16004.972729261033, 16035.200967100085, 16054.760912245083, 16103.948091658356  …  16166.203497933662, 16170.246522641484, 16176.217038995725, 16173.961297770173, 16194.45722291809, 16205.551793268975, 16232.10189766961, 16223.124994313372, 16258.398557434588, 16320.77167175716], [3173.2320350842083, 3172.4709817084536, 3165.2138981270364, 3165.8593958914953, 3188.083114971334, 3190.3165410308684, 3184.790388548346, 3198.2629311565247, 3184.2575048025724, 3202.5815372114075  …  3233.620098844795, 3254.695678913925, 3250.1609417777845, 3255.812532885616, 3259.1639431464637, 3255.221598041245, 3263.244939288187, 3272.069896509046, 3258.841710623419, 3246.775930411218], [3173.2320350842083, 3169.274872156082, 3158.839513895378, 3156.3006861878357, 3175.255164498384, 3174.278448384578, 3165.587685368232, 3175.776329182316, 3158.683944346712, 3173.6602798222875  …  3197.965206410119, 3215.565608395296, 3207.850379138079, 3210.1910257408013, 3210.258035222522, 3203.144581568647, 3207.804599931719, 3213.2391809448386, 3197.0247390085374, 3181.9789134325647], [34195.564496956766, 34592.968646897105, 35600.01028490724, 34837.553361513405, 36040.49847682655, 36451.13468002999, 36117.790337214086, 36159.227914734154, 36136.297033447954, 36085.03995250006  …  37123.57582505276, 36913.40816983914, 37561.28486303881, 37472.338881382726, 37486.61416352726, 37326.53132431177, 38670.48837175068, 39853.92005915325, 40127.397389967766, 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34658.61096425066  …  35035.45762899092, 34836.921037561166, 35910.51981264336, 35613.526872660506, 36793.569619423775, 36226.06136572447, 37640.830800281416, 38398.94217902295, 37313.61811683909, 37303.872663516406], [34195.564496956766, 33895.57041060552, 34221.747944613206, 33737.3325524612, 33747.79258557748, 33779.09377337697, 34375.886919508135, 34148.301383905266, 34353.271712321555, 34345.62264629539  …  34649.14586849451, 34418.08889123085, 35443.03702481378, 35114.49851821374, 36241.4578019791, 35646.517043575914, 37001.33837110375, 37708.542121337436, 36605.81605807131, 36559.386526451315], [33097.63671130043, 32769.17729583597, 32981.258580625836, 32465.540340100546, 32413.325498226917, 32539.09826205012, 33037.556084139556, 32810.795814550955, 33032.9060849854, 33063.53371820994  …  33649.409988581734, 33851.678577995976, 34423.739350621254, 34650.899063103716, 35553.74914149182, 35259.89872990082, 36298.26589045614, 36624.5340660457, 35741.742781955385, 35604.268465621564], [33097.63671130043, 32736.163950345213, 32914.83804116056, 32367.51682209902, 32282.903385891674, 32375.52042711058, 32838.35604084587, 32580.107055740173, 32767.61063713824, 32764.94991706472  …  33278.381216815455, 33444.691657986084, 33975.61145597903, 34165.35936350055, 35020.241649326184, 34695.81107206392, 35681.582737196666, 35966.037269076216, 35063.757627961466, 34893.70191045202], [29576.14777688487, 29605.974349916592, 29688.302509343186, 29821.90892685067, 29904.72661141212, 30065.215576851573, 30162.359244405514, 30299.138704643658, 30406.186557800414, 30511.770742677672  …  30630.04464931671, 30662.228210051824, 30661.6928960753, 30747.61598035315, 30734.35781747913, 30817.633862170867, 30852.424965941733, 30884.607646790053, 31096.584466326418, 31215.317590523555], [34346.71094688275, 34381.34847608994, 34526.41393109727, 34640.34155181819, 34688.89962782172, 34976.135462193626, 35046.70572014448, 35179.126026269376, 35338.47322750703, 35426.202440588335  …  35546.37512151451, 35634.326293050784, 35658.66085698628, 35826.33369817297, 35772.97266933772, 35890.6071230476, 35991.4927233348, 35944.73823934199, 36225.53174137875, 36368.90729775711], [28335.329312139664, 28363.904560528434, 28483.580573926196, 28577.568515184037, 28617.62792804752, 28854.591577049086, 28912.8105867753, 29022.05461271612, 29153.51277268432, 29225.887567080154  …  29325.027554417862, 29397.585459968785, 29417.660974152543, 29555.987615648854, 29511.965865594837, 29609.011867742698, 29692.240410685616, 29653.66892409395, 29885.31778157044, 30003.599663395304], [978.0617717704338, 979.0481149238876, 981.5141209144572, 984.0835300706825, 981.4898664162275, 988.3876135339045, 990.4383257253617, 995.5843065851361, 998.8842157122388, 1001.6504453317851  …  1008.2404950277506, 1011.4931732723699, 1013.7305642084975, 1022.235068461972, 1025.4223342924051, 1030.3546572052733, 1034.3454963299118, 1032.8911765693085, 1042.7587749658642, 1043.3181695162555], [0.0019383188997990075, -0.00019383731229871692, 0.0015865064634743575, 0.0031133137585348525, 0.004399791137177145, 0.002166087409281703, 0.0016740035053637303, 0.005956015446816565, 0.007373165185340591, 0.0059954835365734205  …  0.00504496730018178, 0.0016683759367552842, 0.005209366237136193, 0.004357491062291441, 0.0026441753971822024, 0.002048543154599569, 0.005012000691778429, -0.00014281457528020347, 0.0040835279373843125, 0.0019471274808173789], [2.3548476e6, 2.350025002505579e6, 2.379121545873197e6, 2.368350448881972e6, 2.3823400539233875e6, 2.3830945574325714e6, 2.407709015963127e6, 2.3821542978136973e6, 2.37026611056626e6, 2.3785481779057784e6  …  2.4047194428663715e6, 2.406318784335948e6, 2.4394224984722026e6, 2.433896855958284e6, 2.4520685903497613e6, 2.4298229510838436e6, 2.453051201446873e6, 2.4557512103466266e6, 2.4338445156196784e6, 2.42493033351985e6], [0.0016459319014481277, 0.001318194524972672, 0.002474842876542719, 0.0019177578871649246, 0.002457748870876194, 0.002356652713714306, 0.003236535393778621, 0.0020896399206917684, 0.0016132698411041734, 0.0019751033837272936  …  0.0029805792478714388, 0.0028636212046422456, 0.004124299991912632, 0.0036961615927324346, 0.004217567493997267, 0.0030599975410188136, 0.0038887580657931643, 0.0037058459556543045, 0.0026477731079176574, 0.0021361805101518623], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.6059091613057 258.5036962251161 … 137.13538556670352 505.41380923410753; … ; 527.076581551166 264.9473826341032 … 143.21428694203647 527.2347647057791; 535.6500268309849 270.0350596777946 … 143.939012257057 529.281686682483], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.0834390395163 258.24326637797435 … 136.99722836422478 504.904629508617; … ; 517.0784653571795 259.9215954722596 … 140.4976549921376 517.2336479353772; 524.9598761624129 264.6458776948668 … 141.06637219164566 518.718631154929])])

Now, apply a shock to the model and simulate it again Here, we do this by overloading the centralbankrate function with the wanted behaviour

import BeforeIT: central_bank_rate
+
+function central_bank_rate(cb::Bit.CentralBank, model::Bit.Model)
+    gamma_EA = model.rotw.gamma_EA
+    pi_EA = model.rotw.pi_EA
+    taylor_rate = Bit.taylor_rule(cb.rho, cb.r_bar, cb.r_star, cb.pi_star, cb.xi_pi, cb.xi_gamma, gamma_EA, pi_EA)
+    if model.agg.t < 10
+        return 0.01
+    else
+        return taylor_rate
+    end
+end
+
+data_vec_shocked = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72421.99999999999, 72489.76522055906, 72527.84084339692, 72358.73838111435, 72422.98511871799, 72560.02232652462, 72743.89365887582, 72853.61299495425, 73167.23957771032, 73071.23307855397  …  75395.5924001972, 75784.15786519754, 76076.90675451639, 76334.75468528284, 77138.03784370111, 77652.0506924154, 77570.27931242945, 77470.02355714855, 77729.33214994115, 78101.15737574776], [72421.99999999999, 72416.7353229158, 72381.77794214968, 72140.26494682158, 72131.57538041979, 72195.2546473543, 72305.28413433074, 72341.38800499444, 72579.61536016314, 72411.35544076416  …  74564.257346943, 74873.03137780548, 75086.53834312613, 75265.12720486247, 75980.53062957332, 76409.77363039539, 76252.41237658306, 76077.13860517836, 76254.88437191861, 76542.4658833271], [64900.92049553802, 64966.37094093033, 65006.35040679171, 64844.934239615424, 64896.67529291769, 65017.48160938105, 65179.29725993228, 65282.40309387096, 65574.0623733604, 65669.87896608586  …  67767.93601260765, 68071.18169720116, 68308.13668349921, 68576.26257428124, 69341.41456153634, 69778.33466524775, 69636.76682343057, 69526.54265275001, 69765.10238177358, 70105.79980968738], [64900.92049553802, 64900.920495538005, 64875.43493999305, 64649.147306388375, 64635.549310157774, 64690.63116044613, 64786.29849201613, 64823.41037004234, 65047.42084204213, 65076.840053501764  …  67020.70585099651, 67252.78563106398, 67418.90204320871, 67615.34961587338, 68300.90083009511, 68662.02126711285, 68453.68493524742, 68276.47881415974, 68441.72808605865, 68706.6744009948], [40512.94792630534, 40522.94571004111, 40536.530338537465, 40486.32392480483, 40567.417347960414, 40663.805326557725, 40774.395917201444, 40803.710420139716, 40926.217789377726, 39887.34217644193  …  40801.53744837455, 41306.66322834109, 41604.90956026488, 41553.25121786522, 41805.42757599962, 42154.42118913715, 42573.80982593228, 42614.17015957912, 42724.62608517559, 42861.009679024195], [40512.94792630534, 40482.12082161163, 40454.89433284793, 40364.08317783174, 40404.18546165492, 40459.383643382826, 40528.54657497727, 40516.824440144104, 40597.52920081745, 39527.135238305185  …  40351.647113572806, 40810.04762907468, 41063.29726364256, 40970.993508559804, 41178.10951915503, 41480.035000504125, 41850.50939695448, 41847.98172138678, 41914.18261093335, 42005.61785913295], [14866.888022051655, 14775.769533717319, 14903.406030000264, 14851.761343115526, 14857.757986215473, 14981.117624565872, 15020.15059527929, 15056.10636478871, 14961.577612716746, 14960.534240743113  …  15588.805239799989, 15824.674831547078, 15860.354948825547, 15967.775296359376, 16007.505697120609, 16022.391840238868, 16021.706954147161, 16071.419272054995, 16105.750184148013, 16317.884973892622], [14866.888022051655, 14760.883667645532, 14873.392249114286, 14806.919277339925, 14797.974543716326, 14905.80580226932, 14929.586552308407, 14950.24869192255, 14841.417478363088, 14825.431525503016  …  15416.918265752354, 15634.420287595613, 15653.885006699218, 15744.029620767935, 15767.302499806305, 15766.065707389293, 15749.508915957205, 15782.460562182712, 15800.240193060048, 15992.22336607881], [15944.236265986641, 16047.860335078727, 16596.732751603402, 15947.101106447082, 15836.324447835817, 16029.980800646677, 15962.976851445252, 15738.287856346566, 16144.34733316871, 17863.794312030204  …  17297.032139635983, 16982.807340129493, 16619.545142420113, 17537.72507142405, 18449.088017269318, 18102.862537999168, 17484.803565913782, 16908.329715829415, 16890.66589858587, 17157.75998257947], [15944.236265986641, 16031.692899660775, 16563.30880145221, 15898.951870795849, 15772.603528912281, 15949.396221062583, 15866.728034740847, 15627.633847467698, 16014.688082331626, 17702.47339412653  …  17106.30972898606, 16778.628973123137, 16403.192069945195, 17291.98074752082, 18172.247264366877, 17813.253046848215, 17187.748499159712, 16604.323637830017, 16570.266840538534, 16815.336702151275], [15944.236265986641, 15955.529193875194, 15969.267663238146, 15938.801934784246, 15964.249841929108, 15995.154556319909, 16027.051801450823, 16041.790424148232, 16108.157451354851, 17723.21075840783  …  16514.506938291433, 16647.327724435596, 16728.41188054685, 18532.821608285765, 18536.48069329075, 17013.360371245042, 17050.083704883935, 17045.144466852726, 17091.197059813283, 17157.989255896493], [15944.236265986641, 15939.454777572022, 15937.107357091409, 15890.677756901783, 15900.014187172006, 15914.745052320275, 15930.416644643577, 15929.002525221169, 15978.788850419374, 17563.15939542157  …  16332.412891836588, 16447.182711793124, 16510.641581963624, 18273.133667141778, 18258.328555554253, 16741.18072951482, 16760.414236535402, 16738.67850567326, 16766.994125971338, 16815.561399782346], [3173.2320350842083, 3171.6458249168054, 3174.456227649022, 3174.0199221238727, 3177.947989542563, 3186.5346910995854, 3189.247906571848, 3174.9143960837037, 3184.31913430281, 2561.581170094635  …  3219.6198408455284, 3242.330305150604, 3256.558549387151, 3169.450432737128, 3101.103545873016, 3293.8979282739037, 3327.183644265731, 3334.188921725441, 3338.575728947117, 3343.4139849074645], [3173.2320350842083, 3168.450546669597, 3168.0632304068495, 3164.4365732649208, 3165.1608199659436, 3170.51561025315, 3170.01832677347, 3152.591954851177, 3158.745078885182, 2538.4485355363586  …  3184.1193195731375, 3203.3488992062175, 3214.1647027555714, 3125.0390595079457, 3054.5694386226005, 3241.20216809188, 3270.6570292640486, 3274.241326993251, 3275.246282660222, 3276.6883292447264], [34195.564496956766, 34287.6051934052, 32958.992596245254, 32632.97183515475, 33188.06694950641, 32950.91012331123, 32563.881543828647, 32998.79164909459, 32763.392204847292, 31692.691792565118  …  32276.673231504003, 31854.489738511795, 33097.83045134575, 32850.991956319966, 32057.139753066498, 33939.95890011742, 33780.14236099916, 35150.78069501319, 35062.058675812026, 34821.689729601596], [34195.564496956766, 34253.062105976365, 32892.61689796428, 32534.44278963088, 33054.52749530515, 32785.26206220483, 32367.53752259355, 32766.781114183806, 32500.261289704365, 31406.487527026107  …  31920.78067856331, 31471.514323059626, 32666.9632254958, 32390.67314216484, 31576.10119458433, 33396.987632114084, 33206.24043489625, 34518.781487681474, 34396.96645029646, 34126.741365749374], [33097.63671130043, 33144.41555168258, 32467.820872988894, 31559.41982840696, 32026.581612799455, 32065.791548556335, 31577.5112488781, 31743.283295414643, 31628.295362399407, 31333.129443225964  …  30568.455659116575, 30184.47727333129, 31105.733348339363, 31574.988856684995, 31181.123199754427, 32567.583775076735, 32290.183394562435, 33274.67628532763, 33053.768693779726, 33057.18698934967], [33097.63671130043, 33111.02417197783, 32402.43433922839, 31464.132168775843, 31897.71564916826, 31904.593081564606, 31387.114550288698, 31520.100088723022, 31374.280691052656, 31050.17224419622  …  30231.398439930843, 29821.57983504696, 30700.799222656147, 31132.549814150272, 30713.229848338702, 32046.567756459917, 31741.59487038408, 32676.408803902104, 32426.77172290908, 32397.45340978486], [29576.14777688487, 29605.974349916596, 29641.375830569803, 29545.4280705391, 29589.489520792224, 29646.8062585247, 29696.76428225843, 29761.491552504343, 29890.724933560254, 29966.01522874862  …  30745.765013897355, 30935.954450837082, 31062.235382137704, 31221.248878084287, 31506.878259099467, 31701.031185727606, 31688.352375413426, 31657.827019235563, 31761.304284734433, 31892.83050420202], [34346.71094688275, 34381.34847608994, 34385.81646401016, 34323.38529480922, 34334.31082294355, 34396.62578937659, 34506.115193960206, 34545.78365312706, 34704.724683850196, 34726.33330976583  …  36005.5409288731, 36117.65513006635, 36231.801140442316, 36338.191997354494, 36802.840229772904, 37037.49599403193, 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29117.20067507227  …  29284.346531376043, 29431.84611393361, 29543.010862225517, 29639.95426563208, 29805.55371450573, 29890.69227940358, 30190.982480460716, 30444.378981120317, 30543.0792716844, 30678.600321050075], [978.0617717704338, 979.0481149238876, 980.9062609422532, 986.4322905525488, 989.3365507700739, 991.6637838779875, 984.4496084502181, 981.7935628165371, 991.5576922000151, 990.0434119945253  …  989.0028498068486, 993.0434286425964, 998.9214095480072, 1000.3072932558447, 1002.9477813378418, 1005.389619111977, 1023.158508430759, 1036.6860813222793, 1042.3601833284672, 1046.1745335371238], [0.0019383188997990075, 0.006728434425867791, 0.00908046554836961, 0.01185541336935425, 0.009637705065879798, 0.007116495451877647, 0.005715539760787092, 0.004122393759308451, 0.0032764078652021134, 0.0053481690388572645  …  0.008372601817100866, 0.0035504183401180445, 0.002995044956902726, 0.005754180390484365, 0.0022524653853615018, 0.0007814410912665437, 0.004461102266868799, 0.0026462262902717804, 0.0021137825996921933, 0.0020620202347729766], [2.3548476e6, 2.347127886802868e6, 2.346537676374904e6, 2.353541784658797e6, 2.3163016184728546e6, 2.307559769579166e6, 2.3122319577811817e6, 2.3350579501085877e6, 2.313635215710806e6, 2.344139199057313e6  …  2.3413284425446396e6, 2.3555698029072685e6, 2.366455462312521e6, 2.3728944917606143e6, 2.3661575602355613e6, 2.424216066791932e6, 2.428369956856602e6, 2.428737816441381e6, 2.407452457692039e6, 2.439073505074382e6], [0.0016459319014481277, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01  …  0.008813595575164906, 0.008840856438068942, 0.00870961552545275, 0.008464495823647581, 0.007610276652068634, 0.009478258084152001, 0.0090474659484035, 0.008453279279609474, 0.007013941251453087, 0.007833919729536409], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.6059091613056 258.5036962251161 … 137.13538556670352 505.41380923410753; … ; 571.2425319871543 282.1978688296847 … 146.36317814627148 535.5340908686115; 574.5730034771111 284.67965764299856 … 147.07015356300158 537.2540606751747], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.9046295086172; 518.0834390395163 258.24326637797435 … 136.99722836422478 504.904629508617; … ; 560.4066318359042 276.8448571782292 … 143.5868148760234 525.3755441720687; 563.1060536598974 278.9982084130156 … 144.1350242403374 526.5318977549284])])

Finally, we can plot baseline and shocked simulations

Te = T + 1
+StatsPlots.errorline(
+    1:Te,
+    data_vec_baseline.real_gdp,
+    errortype = :sem,
+    label = "baseline",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
+StatsPlots.errorline!(
+    1:Te,
+    data_vec_shocked.real_gdp,
+    errortype = :sem,
+    label = "shock",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
Example block output

Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, you could close and restart the Julia session.

diff --git a/previews/PR34/examples/scenario_analysis_via_shock-e245b70a.svg b/previews/PR34/examples/scenario_analysis_via_shock-e245b70a.svg new file mode 100644 index 0000000..bce05f9 --- /dev/null +++ b/previews/PR34/examples/scenario_analysis_via_shock-e245b70a.svg @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR34/examples/scenario_analysis_via_shock.html b/previews/PR34/examples/scenario_analysis_via_shock.html new file mode 100644 index 0000000..add5723 --- /dev/null +++ b/previews/PR34/examples/scenario_analysis_via_shock.html @@ -0,0 +1,53 @@ + +Shocked simulations · BeforeIT.jl

Scenario analysis via custom shocks

In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.

import BeforeIT as Bit
+using Plots, StatsPlots
+
+parameters = Bit.AUSTRIA2010Q1.parameters
+initial_conditions = Bit.AUSTRIA2010Q1.initial_conditions
Dict{String, Any} with 21 entries:
+  "sb_inact" => 2.23847
+  "C_G"      => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
+  "E_CB"     => 1.0618e5
+  "D_RoW"    => 0.0
+  "sb_other" => 0.590286
+  "L_I"      => 236919.0
+  "omega"    => 0.85
+  "r_bar"    => 0.00164593
+  "N_s"      => [123.0; 18.0; … ; 5.0; 60.0;;]
+  "C_E"      => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
+  "D_H"      => 219841.0
+  "K_H"      => 4.05377e5
+  "L_G"      => 2.32611e5
+  "pi"       => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
+  "w_UB"     => 4.06546
+  "Y"        => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
+  "Y_I"      => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
+  "Y_EA"     => 2.35485e6
+  "D_I"      => 54049.0
+  ⋮          => ⋮

Initialise the model and the data collector

T = 20
+model = Bit.init_model(parameters, initial_conditions, T);

Simulate the model for T quarters

data_vec_baseline = Bit.run_n_sims(model, 4)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72422.0, 72474.35204292928, 72500.67749532155, 72479.97217810026, 72524.38479605025, 72944.98676292054, 73296.87194582711, 73719.31241025148, 73994.37474483742, 74224.6377515799  …  74223.36403833711, 74244.72559165639, 74243.3548214, 74652.6570142359, 74660.63317396006, 75053.3091144611, 75090.68027577705, 75122.74458543962, 75418.10648195737, 75787.19722139236], [72422.0, 72401.33767330972, 72354.66929799739, 72261.1327014391, 72232.5670539482, 72578.28382271383, 72854.92823704587, 73201.00079183122, 73400.10759996096, 73554.34416870477  …  73404.95433650722, 73352.10716134965, 73276.85557073976, 73606.59963502412, 73540.30105343927, 73852.60670531333, 73814.94006183329, 73772.06291943214, 73987.500345904, 74274.68622267427], [64900.920495538005, 64966.370940930225, 65009.76162902033, 64965.39434724502, 64997.12981187437, 65402.09094537466, 65731.2647164538, 66107.98959866511, 66346.07146921755, 66551.99108685428  …  66514.29513029265, 66521.27112465473, 66507.32551657017, 66891.63658794035, 66881.61132696056, 67255.34297325698, 67265.83763517895, 67287.65194572217, 67569.3800715236, 67907.71197340774], [64900.920495538005, 64900.920495538005, 64878.839292404366, 64769.24370765724, 64735.599628362244, 65073.30702053437, 65334.937859106605, 65643.19227542488, 65813.22974169781, 65950.98616578775  …  65780.88799966338, 65721.50909253575, 65641.5338180429, 65954.32915831967, 65878.00856796447, 66179.39238175281, 66123.0362411757, 66077.84260857242, 66287.65643447141, 66552.45455496124], [40512.94792630534, 40440.97467769727, 40333.81893759827, 40506.55871060514, 40564.61834049748, 40599.27996257108, 40699.01242453883, 40948.69124671697, 41136.25261834324, 41266.448275478106  …  41602.790825908676, 41667.16935802959, 41731.68524443336, 41843.421470098074, 41947.6684866807, 41997.274789030445, 42201.00923150865, 42242.32365512629, 42261.84527548088, 42419.06364196005], [40512.94792630534, 40400.232371078906, 40252.591169834915, 40384.25686854891, 40401.397716611464, 40395.182655912635, 40453.61760730934, 40660.78592396843, 40805.877188066006, 40893.78717122756  …  41144.06562426542, 41166.2195193535, 41188.42258322197, 41257.09780057458, 41318.21601100873, 41325.40262760551, 41484.0424341921, 41482.82089194329, 41460.18029087267, 41572.49189018559], [14866.888022051655, 14878.991589799392, 14858.77668598505, 14786.833104116473, 14982.343426806747, 15020.088808085406, 15082.61737108209, 15217.330025565983, 15328.202307959258, 15286.890659169087  …  15081.951186318534, 15030.772789962499, 15311.821172150609, 15173.428894544937, 15449.505496387625, 15347.354934566014, 15344.79309658451, 15520.853741589612, 15574.705139490825, 15688.736864173454], [14866.888022051655, 14864.001732548053, 14828.852783570454, 14742.187076796994, 14922.058687508299, 14944.581073112582, 14991.676684499533, 15110.3388085333, 15205.09771990034, 15148.840747154027  …  14915.652941374608, 14850.06305324846, 15112.49203724383, 14960.813859824108, 15217.675460692153, 15101.828038265201, 15084.095370101477, 15241.794014668876, 15279.268542377275, 15375.631380225572], [15944.236265986641, 16167.970452874444, 16341.576245128988, 16087.22330350771, 15549.423926068755, 15864.523803144848, 16071.17054003792, 16264.221251938488, 16244.473360819566, 16424.371476549586  …  16556.37011561356, 16782.917115888496, 15663.725071626024, 16687.02984982915, 16061.434198153707, 16873.207686033482, 16716.930617068727, 16246.222077341868, 16581.046236870356, 16314.177241465039], [15944.236265986641, 16151.682012379677, 16308.66615143863, 16038.650995560112, 15486.857414214073, 15784.770995148603, 15974.269369164316, 16149.869468615776, 16114.009973062788, 16276.049421542257  …  16373.814472855209, 16581.141959302342, 15459.814855274757, 16453.20574483832, 15820.421768056895, 16603.27020615803, 16432.921195878527, 15954.120471858138, 16266.520354490562, 15988.589630134456], [15944.236265986641, 15949.97169688411, 15965.760506829172, 15993.420422586925, 16005.187879800953, 16050.574126034118, 16118.649008522638, 16201.440332380795, 16271.335715364421, 16327.914191636353  …  16378.491399657665, 16385.262917577584, 16364.102454569871, 16446.531351295827, 16462.20278302087, 16507.093463149737, 16536.26871308014, 16550.88650615304, 16580.376421372628, 16639.953478746305], [15944.236265986641, 15933.902879487692, 15933.607263700364, 15945.131334579306, 15940.787501884757, 15969.886021406022, 16021.461566081198, 16087.529954152053, 16140.656589387067, 16180.463204525848  …  16197.897102477938, 16188.268618668157, 16151.074732450943, 16216.077189708782, 16215.176555566137, 16243.013076514097, 16255.328616274797, 16253.30713677036, 16265.863244723669, 16307.864239699242], [3173.2320350842083, 3166.0883279257173, 3158.3126844564517, 3169.9704633264723, 3177.040515998382, 3159.2541940342876, 3157.6985155600396, 3171.3967538551883, 3196.0910859416445, 3213.491805335185  …  3255.836671199018, 3264.4188078712277, 3262.4327555330897, 3281.678748851086, 3288.5436083875898, 3269.780849714221, 3299.2550240580645, 3307.1018439306517, 3294.659570963819, 3300.1000372092203], [3173.2320350842083, 3162.898648585268, 3151.95219849171, 3160.399341037398, 3164.256997840275, 3143.3722554224155, 3138.659162909199, 3149.099044742066, 3170.422487065618, 3184.472021595084  …  3219.936811986131, 3225.1718395657344, 3219.9624385446177, 3235.6947958514816, 3239.196839178901, 3217.470914416769, 3243.202897551968, 3247.6412657413593, 3232.1631703208855, 3234.2388128052094], [34195.564496956766, 32576.025318769858, 30947.33890374104, 31780.75423404153, 33188.19621124658, 33004.78288216836, 33507.43764681084, 33574.98879120878, 33876.71347012681, 34408.90264930789  …  33441.89627679147, 35063.34554303561, 36045.87563114741, 34774.982222564875, 35657.28464720056, 36329.3853078553, 35979.53013541196, 36977.02025036349, 37154.34311339021, 37093.33411231671], [34195.564496956766, 32543.206564461332, 30885.014449385355, 31684.79829731215, 33054.65623693248, 32838.863996431784, 33305.40445122867, 33338.92708349822, 33604.641196239594, 34098.16934917649  …  33073.15561520705, 34641.79117387993, 35576.63078262589, 34287.70382925952, 35122.22353637751, 35748.188009872436, 35368.26208851223, 36312.18587042481, 36449.56234231951, 36353.049765079115], [33097.63671130043, 31589.609996211562, 29980.83327713186, 30681.397174170786, 31760.19710856951, 31543.688693049186, 32063.36603664231, 32285.918905178743, 32591.267012411627, 33161.97530892472  …  32459.64436629527, 34299.47921525989, 34509.75229795772, 33826.205422800915, 34455.25965446269, 35493.913603024506, 35151.582804796846, 35863.67513898165, 36153.83328327487, 35728.114638523024], [33097.63671130043, 31557.785007158323, 29920.455256231977, 30588.76053677908, 31632.403001318464, 31385.11489789175, 31870.03987515589, 32058.920492784462, 32329.51847730798, 32862.50252039551  …  32101.73431719529, 33887.10854443468, 34060.50468762704, 33352.22159947221, 33938.235722696176, 34926.08217658815, 34554.38102685108, 35218.85832946296, 35468.03118415593, 35015.076442950674], [29576.147776884885, 29605.97434991661, 29629.908616463137, 29640.26839050235, 29667.018326189114, 29809.91627391501, 29968.254406745287, 30128.231937641343, 30224.37898023337, 30320.131235907873  …  30367.019683611663, 30365.716103214396, 30353.961977981508, 30481.39066276418, 30514.517290105818, 30633.979264991423, 30664.4249726064, 30675.905999122897, 30773.3841021436, 30898.472671998974], [34346.71094688275, 34381.34847608993, 34406.160942460374, 34361.42818850695, 34365.85512817582, 34617.16521740784, 34784.38437491573, 34994.83431269168, 35131.41347463892, 35236.72757841601  …  35153.88550497037, 35161.631757794385, 35152.56129968366, 35395.84469351625, 35357.67287902721, 35602.0848637505, 35578.49053568161, 35589.498699432486, 35765.675732366515, 35971.02253803006], 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[978.0617717704336, 979.0481149238879, 984.3187103678514, 988.5701435243803, 994.6460579733008, 996.4321968615352, 993.8384516733977, 999.9102166687564, 992.0902915737332, 994.6582384799905  …  1016.8822377846128, 1029.8746617216543, 1036.2026830287746, 1037.9514378982667, 1042.3148006537317, 1042.6058279083848, 1047.1761375949943, 1053.3844959844332, 1058.0167937058611, 1064.6294008272507], [0.0019383188997990075, 0.005308128238052712, 0.0021088541566325336, 0.006923601323287176, 0.01057633466285135, 0.008402500604969498, 0.004741980271950164, 0.006569049323305265, 0.0022985954729253244, -0.0031905630125552698  …  0.0039679164614467854, 0.008243130157091105, 0.004922016662823658, 0.006917503659251478, 0.005736168202625125, 0.003541467247938801, 0.008585740611248394, 0.0048877168301537655, 0.007482395413037191, 0.005201812639647141], [2.3548476e6, 2.3840021873592413e6, 2.3878512601016425e6, 2.398851084605381e6, 2.4004329577815593e6, 2.3928274893141e6, 2.4051904066505027e6, 2.3962041918615783e6, 2.3917846727152127e6, 2.411605637434065e6  …  2.4439064199785264e6, 2.468043488339714e6, 2.466665632276356e6, 2.4702408945817263e6, 2.457778373694759e6, 2.447189414183631e6, 2.420935822117334e6, 2.4321838408571035e6, 2.44295846814239e6, 2.4747796365824407e6], [0.0016459319014481277, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01  …  0.00994740454800224, 0.010371575392789859, 0.00966177343640167, 0.009247791054075406, 0.008198549791098915, 0.007249086514876012, 0.005854228662475012, 0.005989979684488085, 0.006153965541550509, 0.007098943345674474], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.6059091613058 258.50369622511613 … 137.13538556670355 505.4138092341076; … ; 564.4844959774833 284.3466912583684 … 146.64180466629344 536.6865941342371; 565.0865714365776 285.01219253258085 … 147.32664903242076 538.5646354043912], [518.0834390395164 258.24326637797435 … 136.99722836422484 504.90462950861706; 518.0834390395163 258.2432663779743 … 136.9972283642248 504.904629508617; … ; 553.7767890179489 278.9529185921488 … 143.8601561293128 526.5061856021143; 553.8089455860217 279.3241067901476 … 144.38640074200407 527.8163168963247])])

Now, apply a shock to the model and simulate it again. A shock is simply a function that takes the model and changes some of its parameters for a specific time period.

In this case, let's define an interest rate shock that sets the interest rate for a number of epochs.

We do this by first defining a "struct" with some useful attributes

struct CustomShock
+    rate::Float64    # target rate for the first 10 epochs
+    final_time::Int  # number of epochs for the shock
+end

and then by making the struct a callable function that changes the interest rate in the model, this is done in Julia using the syntax below

function (s::CustomShock)(model::Bit.Model)
+    if model.agg.t <= s.final_time
+        model.cb.r_bar = s.rate
+    end
+end

Now we define a specific shock with a rate of 0.01 for the first 10 epochs, and run a shocked simulation

custom_shock = CustomShock(0.0, 10)
+data_vec_shocked = Bit.run_n_sims(model, 4; shock = custom_shock)
BeforeIT.DataVector(BeforeIT.Data[BeforeIT.Data{Float64, Vector{Float64}, Matrix{Float64}}([72422.0, 72458.63063173035, 72714.7993073847, 73025.94784345852, 73170.08974424793, 73488.94581643856, 73736.47411998946, 74215.95259231319, 74315.10367343524, 74689.18028783813  …  75172.58090642745, 75228.81699975023, 75598.1201305265, 76403.05467531475, 76935.02128673751, 77443.49876715624, 77857.59775246747, 78271.96742728617, 78684.79761409517, 78745.95566326432], [72422.0, 72385.63210066463, 72568.3598928517, 72805.4598972233, 72875.67386690396, 73119.50833074616, 73291.87982858339, 73694.1491565101, 73718.26067511964, 74014.69160357275  …  74343.70484667894, 74324.36718181372, 74613.98455861978, 75332.47015315716, 75780.56047015703, 76204.55811764165, 76534.84946933789, 76864.66379441545, 77192.22561074348, 77174.39571103048], [64900.920495538005, 64966.370940930225, 65187.0333275795, 65473.4463740019, 65604.67546210511, 65897.04291360846, 66115.53089261762, 66552.03912562672, 66627.47716100705, 66976.25803693687  …  67426.62415519402, 67485.51157561327, 67850.01019928801, 68610.97758355155, 69105.71914574139, 69561.10848322994, 69950.78346788613, 70332.03139881173, 70685.2981040959, 70730.30248547599], [64900.920495538005, 64900.920495538005, 65055.75398573217, 65275.76176804663, 65340.70068564175, 65565.77080760525, 65716.88710121115, 66084.11974357393, 66092.37539469957, 66371.42172749744  …  66683.15740338102, 66674.15681699573, 66966.73944498798, 67649.57818711115, 68068.7421797114, 68448.27026831036, 68762.36664786185, 69067.48514364476, 69344.46861481928, 69318.71366343043], [40512.94792630534, 40319.37525231505, 40466.0852258405, 40613.16803131025, 40686.46819913686, 40815.29155764575, 40944.62291154861, 41108.54017572659, 41202.548443010375, 41309.34175083407  …  41424.931067174024, 41408.0525600783, 41337.38494343024, 41470.82854183544, 41672.285344959695, 41971.28482462056, 42069.92170115199, 42257.978345198026, 42625.707394796336, 42718.4896134155], [40512.94792630534, 40278.75545117816, 40384.59108867232, 40490.54430270733, 40522.75728566462, 40610.108335552424, 40697.74718515263, 40819.51097438523, 40871.64057455023, 40936.29329243609  …  40968.16700208151, 40910.21799225321, 40799.25527959479, 40889.725765950134, 41046.96517524384, 41299.82845049775, 41355.181992915444, 41498.19411595635, 41817.14030928934, 41865.942115186626], [14866.888022051655, 14940.59628379265, 15121.746648645383, 15093.457969701507, 15163.548483205472, 15283.726403855002, 15445.043604555773, 15851.458014057147, 16037.646850636662, 16253.975224072246  …  16419.0428115477, 16578.431361915278, 16662.94762439557, 17052.59631404882, 17117.211873657856, 17202.230268219293, 17261.607399715904, 17286.713469432103, 17253.804014017638, 17056.029435014083], [14866.888022051655, 14925.54436282125, 15091.293154349374, 15047.886146978155, 15102.534625686154, 15206.893331997435, 15351.917667913744, 15740.008319411827, 15908.844537794263, 16107.191950769253  …  16238.001381994814, 16379.114666200048, 16446.029538844316, 16813.649772526293, 16860.356802108658, 16927.02908695957, 16968.34428588822, 16975.90417888339, 16926.51658870146, 16715.63642589483], [15944.236265986641, 16083.080452818574, 15860.9310910651, 16097.858896678581, 16035.852193825702, 16169.704034620892, 16229.851103281786, 16723.826857934848, 16139.715523337365, 16294.203893274376  …  16600.309713185743, 16222.566407222244, 16441.643665884276, 16678.937149425405, 16778.75724686978, 16895.9591017203, 17010.733375331292, 17096.714939558096, 17458.87384317076, 17285.02221434602], [15944.236265986641, 16066.877534852347, 15828.98896257068, 16049.2544765823, 15971.328431327865, 16088.417050074106, 16131.993167477192, 16606.24364287886, 16010.093471711894, 16147.057330642794  …  16417.269578874006, 16027.528151688824, 16227.606513051982, 16445.22644199235, 16526.98091057381, 16625.657644827246, 16721.732442647335, 16789.32175863484, 17127.696448063638, 16940.05911806081], [15944.236265986641, 15945.700682630479, 15993.931032538732, 16049.088158098912, 16089.199605644148, 16141.566892099283, 16206.551474614625, 16279.912371513741, 16304.538492096417, 16358.71070409274  …  16461.38988019368, 16493.37214681648, 16553.09925129602, 16664.409065771408, 16790.936160378144, 16900.254099385253, 17006.148913226392, 17102.169784977345, 17208.47684997033, 17245.780447864843], [15944.236265986641, 15929.6361680723, 15961.721057144538, 16000.630991962398, 16024.461188153955, 16060.421356243482, 16108.83402399082, 16165.450265816675, 16173.592706398023, 16210.981605760708  …  16279.881518802375, 16295.078088365504, 16337.611170767346, 16430.901930585074, 16538.977071439767, 16629.883931144162, 16717.225867473877, 16794.67852776921, 16882.049235673567, 16901.600512925983], [3173.2320350842083, 3161.817313672086, 3161.011066414634, 3165.04106039098, 3171.3372985736114, 3170.6204328400604, 3188.5067143995648, 3197.251739874131, 3216.892703232896, 3211.7404876888277  …  3220.176231467536, 3226.95426952854, 3215.4026966725532, 3197.974230390733, 3217.559577722389, 3231.1378148306476, 3253.0447666585583, 3263.696889845246, 3294.180137666697, 3318.5154029489545], [3173.2320350842083, 3158.631937169875, 3154.645146212599, 3155.4848214955728, 3158.5767285595957, 3154.6813548225423, 3169.281603621613, 3174.7722474642114, 3191.0570414178483, 3182.736519411302  …  3184.669575260567, 3188.1577242954277, 3173.544616520076, 3153.163172405358, 3169.2779707848986, 3179.4460905838687, 3197.7777213828763, 3205.01671812304, 3231.6928313944873, 3252.286656796616], [34195.564496956766, 32640.00069243555, 34052.497475636264, 33889.60224221749, 34042.99144932922, 33645.517403584905, 34331.01558303408, 33933.090075669395, 34616.29959950118, 33533.71544977325  …  33194.253588281106, 32983.01922076771, 34067.31502257016, 33764.073883252684, 33301.64095824034, 33448.957274669665, 33229.38448057876, 33049.64105592808, 33271.19539380034, 34746.687381732256], [34195.564496956766, 32607.117486062987, 33983.91958171077, 33787.27904042717, 33906.01201920964, 33476.377470819396, 34124.01662182047, 33694.51060090113, 34338.287526284585, 33230.88562187743  …  32828.24351135161, 32586.475889117064, 33623.827056266535, 33290.96066732159, 32801.927837074996, 32913.84104785682, 32664.839560879554, 32455.419632194364, 32640.07405564319, 34053.235865372146], [33097.63671130043, 31524.42204963123, 32786.461133802484, 32668.13929644921, 32758.77058124929, 32425.29358326801, 33214.05908243095, 33400.96253107459, 33681.10674305018, 32702.0560301157  …  32465.956273761396, 31963.252550233265, 32911.17112575374, 32563.381213247816, 31934.87413699025, 32074.93270207372, 31714.049204310675, 31419.080382830623, 31924.783031690058, 33060.272981243514], [33097.63671130043, 31492.66273425001, 32720.43289445131, 32569.504069471535, 32626.958494984265, 32262.287857697233, 33013.79481378086, 33166.12438106677, 33410.60543522122, 32406.73659215267  …  32107.976627623353, 31578.969517445305, 32482.733829137876, 32107.092494633464, 31455.67025484432, 31561.7981124999, 31175.24881299291, 30854.175891253977, 31319.201790954376, 32400.477813483845], [29576.147776884885, 29605.974349916618, 29673.37253757367, 29809.249360949187, 29886.497471319253, 29999.054087198103, 30094.731368669665, 30217.99850585117, 30213.97359534498, 30338.831796714898  …  30512.519232477014, 30583.171153001287, 30726.756718722118, 31001.07520435412, 31248.468384139127, 31447.433991263155, 31633.096202894496, 31824.132579897807, 31992.82479910257, 32033.27846867225], [34346.71094688275, 34381.34847608992, 34532.62872432414, 34679.266255959665, 34732.72335492341, 34907.82708747399, 35029.15675475091, 35330.38153751034, 35402.66141351677, 35617.09364839709  …  35891.31063670614, 35883.42351453006, 36101.28795254398, 36572.41345003055, 36814.58360745446, 37063.21260091461, 37266.536366683154, 37455.26434454815, 37637.438236541115, 37640.75547889441], [28335.32931213966, 28363.904560528426, 28488.707650372107, 28609.680594618138, 28653.781600550024, 28798.238574415114, 28898.333051669153, 29146.83729504972, 29206.46670446974, 29383.368882959803  …  29609.592252025224, 29603.085538630465, 29782.819214034647, 30171.488048709176, 30371.273442157504, 30576.387242344495, 30744.125162547272, 30899.82185826551, 31050.111568091805, 31052.8482247293], [978.0617717704336, 979.0481149238879, 981.0320656816637, 984.9307570930322, 985.4546358624658, 990.161738936401, 991.6427691971356, 1003.6590822652624, 1010.8421521453376, 1020.3325918248503  …  1022.7942860109519, 1018.9169080818388, 1021.9655280219037, 1037.4889291669324, 1042.6671541477833, 1050.4618910521606, 1051.1508983085075, 1052.6344743657646, 1055.0350684522741, 1056.2685379092702], [0.0019383188997990075, 0.002318069620665719, 0.003049541140922596, 0.002224369592188191, -0.0022251584479866526, 0.004366924925378823, 0.006068540028211, 0.002763470029782056, 0.0021042695860895577, 0.006527435992621067  …  0.0016670645613094948, 0.0056211649437434286, 0.004403830502085482, 0.0033734120185084926, 0.010405043693178406, 0.0034987674088711174, 0.009835632205891676, 0.005539796592840762, 0.004137709755095864, 0.007862292319288144], [2.3548476e6, 2.328642066464245e6, 2.367136786703873e6, 2.3785683790057097e6, 2.3853441679808004e6, 2.361219699143722e6, 2.3811604460283155e6, 2.3742624887050353e6, 2.3831894560849294e6, 2.3628660285500544e6  …  2.354728150940062e6, 2.367293693829456e6, 2.395702092902069e6, 2.3763293025443605e6, 2.3710765337988767e6, 2.3591676693399525e6, 2.3625614890307123e6, 2.3635673623363497e6, 2.3803493785910932e6, 2.4021938404081287e6], [0.0016459319014481277, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0006538730501113249, 0.0018868794777280042, 0.0010292157403429853, 0.0009743747837785542, 0.000488510365717588, 0.0008195501302721295, 0.0009278809694580809, 0.0016525234320153488, 0.0026132549358040356], [518.0834390395164 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520.1343880622946 263.7325612139914 … 140.47888071745302 515.8733485084738; 525.8691106088339 265.99434818188473 … 140.8908531951007 517.2619575209776])])

Finally, we can plot baseline and shocked simulations

Te = T + 1
+StatsPlots.errorline(
+    1:Te,
+    data_vec_baseline.real_gdp,
+    errortype = :sem,
+    label = "baseline",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
+StatsPlots.errorline!(
+    1:Te,
+    data_vec_shocked.real_gdp,
+    errortype = :sem,
+    label = "shock",
+    titlefont = 10,
+    xlabel = "quarters",
+    ylabel = "GDP",
+)
Example block output

Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, we can simply re-import the function central_bank_rate.

diff --git a/previews/PR34/index.html b/previews/PR34/index.html new file mode 100644 index 0000000..f902c18 --- /dev/null +++ b/previews/PR34/index.html @@ -0,0 +1,291 @@ + +Home · BeforeIT.jl

Behavioural agent-based economic forecasting in Julia

Welcome to BeforeIT.jl, a Julia implementation of the agent-based model presented in Economic forecasting with an agent-based model, the first ABM matching the performance of traditional economic forecasting tools.

With BeforeIT.jl, you can perform economic forecasting and explore different counterfactual scenarios. Thanks to its modular design, the package is also a great starting point for anyone looking to extend its capabilities or integrate it with other tools.

Developed in Julia, a language known for its efficiency, BeforeIT.jl is both fast and user-friendly, making it accessible whether you’re an expert programmer or just starting out.

Julia installation

To run this software, you will need a working Julia installation on your machine. If you don't have it installed already, simply follow the short instructions available here.

BeforeIT.jl Installation

To install BeforeIT.jl, simply open a Julia REPL by writing julia in your terminal, and then execute the following

using Pkg
+Pkg.add("BeforeIT")

Quick example

To check that the installation worked, try running the model in your terminal following

using BeforeIT
+
+parameters = BeforeIT.AUSTRIA2010Q1.parameters
+initial_conditions = BeforeIT.AUSTRIA2010Q1.initial_conditions
+
+T = 20
+model = BeforeIT.initialise_model(parameters, initial_conditions, T)
+data = BeforeIT.run_one_sim!(model)

To plot the results of the simulation, you can use the Plots package

using Plots
+
+plot(data.real_gdp)

License

BeforeIT.jl is released under the GNU Affero General Public License v3 or later (AGPLv3+).

Copyright 2024 - Banca d'Italia and the authors.

Main developers and maintainers

Other collaborators and contributors

Disclaimer

This package is an outcome of a research project. All errors are those of the authors. All views expressed are personal views, not those of Bank of Italy.

Reproducibility

The documentation of BeforeIT.jl was built using these direct dependencies,
Status `~/work/BeforeIT.jl/BeforeIT.jl/docs/Project.toml`
+  [ca9fcad7] BeforeIT v0.1.2 `~/work/BeforeIT.jl/BeforeIT.jl`
+  [e30172f5] Documenter v1.8.0
+  [5789e2e9] FileIO v1.16.6
+  [98b081ad] Literate v2.20.1
+  [91a5bcdd] Plots v1.40.9
+  [f3b207a7] StatsPlots v0.15.7
and using this machine and Julia version.
Julia Version 1.10.7
+Commit 4976d05258e (2024-11-26 15:57 UTC)
+Build Info:
+  Official https://julialang.org/ release
+Platform Info:
+  OS: Linux (x86_64-linux-gnu)
+  CPU: 4 × AMD EPYC 7763 64-Core Processor
+  WORD_SIZE: 64
+  LIBM: libopenlibm
+  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)
+Threads: 2 default, 0 interactive, 1 GC (on 4 virtual cores)
A more complete overview of all dependencies and their versions is also provided.
Status `~/work/BeforeIT.jl/BeforeIT.jl/docs/Manifest.toml`
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You can also download the manifest file and the project file.

diff --git a/previews/PR34/objects.inv b/previews/PR34/objects.inv new file mode 100644 index 0000000..c0cfaeb Binary files /dev/null and b/previews/PR34/objects.inv differ diff --git a/previews/PR34/search_index.js b/previews/PR34/search_index.js new file mode 100644 index 0000000..b9e615e --- /dev/null +++ b/previews/PR34/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"EditURL = \"../../../examples/scenario_analysis_via_shock.jl\"","category":"page"},{"location":"examples/scenario_analysis_via_shock.html#Scenario-analysis-via-custom-shocks","page":"Shocked simulations","title":"Scenario analysis via custom shocks","text":"","category":"section"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"import BeforeIT as Bit\nusing Plots, StatsPlots\n\nparameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Initialise the model and the data collector","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"T = 20\nmodel = Bit.init_model(parameters, initial_conditions, T);\nnothing #hide","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Simulate the model for T quarters","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"data_vec_baseline = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Now, apply a shock to the model and simulate it again. A shock is simply a function that takes the model and changes some of its parameters for a specific time period.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"In this case, let's define an interest rate shock that sets the interest rate for a number of epochs.","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"We do this by first defining a \"struct\" with some useful attributes","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"struct CustomShock\n rate::Float64 # target rate for the first 10 epochs\n final_time::Int # number of epochs for the shock\nend","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"and then by making the struct a callable function that changes the interest rate in the model, this is done in Julia using the syntax below","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"function (s::CustomShock)(model::Bit.Model)\n if model.agg.t <= s.final_time\n model.cb.r_bar = s.rate\n end\nend","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Now we define a specific shock with a rate of 0.01 for the first 10 epochs, and run a shocked simulation","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"custom_shock = CustomShock(0.0, 10)\ndata_vec_shocked = Bit.run_n_sims(model, 4; shock = custom_shock)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Finally, we can plot baseline and shocked simulations","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Te = T + 1\nStatsPlots.errorline(\n 1:Te,\n data_vec_baseline.real_gdp,\n errortype = :sem,\n label = \"baseline\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)\nStatsPlots.errorline!(\n 1:Te,\n data_vec_shocked.real_gdp,\n errortype = :sem,\n label = \"shock\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)","category":"page"},{"location":"examples/scenario_analysis_via_shock.html","page":"Shocked simulations","title":"Shocked simulations","text":"Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, we can simply re-import the function central_bank_rate.","category":"page"},{"location":"api.html","page":"API","title":"API","text":"CurrentModule = BeforeIT ","category":"page"},{"location":"api.html","page":"API","title":"API","text":"Pages = [\"api.md\"]","category":"page"},{"location":"api.html#Code-reference","page":"API","title":"Code reference","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"In this page we document the functions which constitute the bulk of BeforeIT.jl functionality.","category":"page"},{"location":"api.html#Agent-types","page":"API","title":"Agent types","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"agents.jl\"]","category":"page"},{"location":"api.html#BeforeIT.Aggregates","page":"API","title":"BeforeIT.Aggregates","text":"This is a Aggregates type. It is used to store the aggregate variables of the economy. Note that t is an integer, while the rest are floats or vectors of floats.\n\nFields\n\nY [vector]: GDP data + predictions\npi_ [vector]: inflation data + predictions\nP_bar: Global price index\nP_bar_g [vector]: Producer price index for principal good g\nP_bar_HH: Consumer price index\nP_bar_CF: Capital price index\nP_bar_h: CPI_h\nP_bar_CF_h: Capital price index _h\nY_e: Expected GDP\ngamma_e: Expected growth\npi_e: Expected inflation\nt: Time index\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Bank","page":"API","title":"BeforeIT.Bank","text":"This is a Bank type. It represents the bank of the model.\n\nFields\n\nE_k: equity capital (common equity) of the bank\nPi_k: Profits of the bank\nPi_e_k: Expected profits of the bank\nD_k: Residual and balancing item on the bank’s balance sheet\nr: Rate for loans and morgages\n\nHousehold fields (bank' owner)\n\nY_h: Net disposable income of bank owner (investor)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\nK_h: Capital stock\nD_h: Deposits\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.CentralBank","page":"API","title":"BeforeIT.CentralBank","text":"This is a CentralBank type. It represents the central bank of the model.\n\nFields\n\nr_bar: Nominal interest rate\nr_G: Interest rate on government bonds\nrho: Parameter for gradual adjustment of the policy rate\nr_star: Real equilibrium interest rate\npi_star: Inflation target by CB\nxi_pi: Weight the CB puts on inflation targeting\nxi_gamma: Weight placed on economic\nE_CB: Central bank equity\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Firms","page":"API","title":"BeforeIT.Firms","text":"This is a Firms type. Each field is an array which stores the values for all the firms in the economy. Note that the G_i, N_i and V_i fields are integers, while the rest are floats.\n\nFor all fields the entry at index i corresponds to the ith firm.\n\nFields\n\nG_i: Principal product\nalpha_bar_i: Average productivity of labor\nbeta_i: Productivity of intermediate consumption\nkappa_i: Productivity of capital\nw_i: Wages\nw_bar_i: Average wage rate\ndelta_i: Depreciation rate for capital\ntau_Y_i: Net tax rate on products\ntau_K_i: Net tax rate on production\nN_i: Number of persons employed\nY_i: Production of goods\nQ_i: Sales of goods\nQ_d_i: Demand for goods\nP_i: Price\nS_i: Inventories\nK_i: Capital, in real terms\nM_i: Intermediate goods/services and raw materials, in real terms\nL_i: Outstanding loans\npi_bar_i: Operating margin\nD_i: Deposits of the firm\nPi_i: Profits\nV_i: Vacancies\nI_i: Investments\nE_i: Equity\nP_bar_i: Price index\nP_CF_i: Price index\nDS_i: Differnece in stock of final goods\nDM_i: Difference in stock of intermediate goods\nDL_i: Obtained loans\nDL_d_i: Target loans\nK_e_i: Expected capital \nL_e_i: Expected loans\nQ_s_i: Expected sales\nI_d_i: Desired investments\nDM_d_i: Desired materials\nN_d_i: Desired employment\nPi_e_i: Expected profits\n\nHousehold fields (firms' owners)\n\nY_h: Net disposable income of firm owner (investor)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\nK_h: Capital stock\nD_h: Deposits of the owner of the firms\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Government","page":"API","title":"BeforeIT.Government","text":"This is a Government type. It represents the government of the model.\n\nFields\n\nalpha_G: Autoregressive coefficient for government consumption\nbeta_G: Scalar constant for government consumption\nsigma_G: Variance coefficient for government consumption\nY_G: Government revenues\nC_G: Consumption demand of the general government\nL_G: Loans taken out by the government\nsb_inact: Social benefits for inactive persons\nsb_other: Social benefits for all\nC_d_j [vector]: Local governments consumption demand\nC_j: Realised government consumption\nP_j: Price inflation of government goods <- ??\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Model","page":"API","title":"BeforeIT.Model","text":"This is a Model type. It is used to store all the agents of the economy.\n\nFields\n\nw_act: Workers that are active\nw_inact: Workers that are inactive\nfirms: Firms\nbank: Bank\ncb: CentralBank\ngov: Government\nrotw: RestOfTheWorld\nagg: Aggregates\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.RestOfTheWorld","page":"API","title":"BeforeIT.RestOfTheWorld","text":"This is a RestOfTheWorld type. It represents the rest of the world of the model.\n\nFields\n\nalpha_E: Autoregressive coefficient for exports\nbeta_E: Scalar constant for exports\nsigma_E: Variance coefficient for exports\nalpha_I: Autoregressive coefficient for imports\nbeta_I: Scalar constant for imports\nsigma_I: Variance coefficient for imports\nY_EA: GDP euro area\ngamma_EA: Growth euro area\npi_EA: Inflation euro area\nalpha_pi_EA: Autoregressive coefficient for euro area inflation\nbeta_pi_EA: Autoregressive coefficient for euro area inflation Scalar constant for euro area inflation\nsigma_pi_EA: Variance coefficient for euro area inflation\nalpha_Y_EA: Autoregressive coefficient for euro area GDP\nbeta_Y_EA: Autoregressive coefficient for euro area GDP Scalar constant for euro area GDP\nsigma_Y_EA: Variance coefficient for euro area GDP\nD_RoW: Net creditor/debtor position of the national economy to the rest of the world\nY_I: Supply of imports (in real terms)\nC_E: Total demand for exports\nC_d_l [vector]: Demand for exports of specific product\nC_l: Realised consumption by foreign consumers\nY_m [vector]: Supply of imports per sector\nQ_m [vector]: Sales for imports per sector\nQ_d_m [vector]: Demand for goods\nP_m [vector]: Price of imports per sector\nP_l: Price inflation of exports <- ??\n\n\n\n\n\n","category":"type"},{"location":"api.html#BeforeIT.Workers","page":"API","title":"BeforeIT.Workers","text":"This is a Workers. Each field is an array which stores the values for all the workers in the economy. Note that the O_h field is an integer, while the rest are floats.\n\nFor all fields the entry at index i corresponds to the ith worker.\n\nFields\n\nY_h: Net disposable income of worker owner (investor)\nD_h: Deposits\nK_h: Capital stock\nw_h: Wages (0 if inactive or unemployed)\nO_h: Occupation (0 if unemployed, -1 if inactive)\nC_d_h: Consumption budget\nI_d_h: Investment budget\nC_h: Realised consumption\nI_h: Realised investment\n\n\n\n\n\n","category":"type"},{"location":"api.html#Initialisation-function","page":"API","title":"Initialisation function","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"init.jl\"]","category":"page"},{"location":"api.html#BeforeIT.init_model","page":"API","title":"BeforeIT.init_model","text":"init_model(parameters, initial_conditions, T, typeInt = Int64, typeFloat = Float64)\n\nInitializes the model with given parameters and initial conditions.\n\nParameters:\n\nparameters: A dictionary containing the model parameters.\ninitial_conditions: A dictionary containing the initial conditions.\nT (integer): The time horizon of the model.\ntypeInt: (optional, default: Int64): The data type to be used for integer values.\ntypeFloat: (optional, default: Float64): The data type to be used for floating-point values.\n\nReturns:\n\nmodel::Model: The initialized model.\n\n\n\n\n\n","category":"function"},{"location":"api.html#BeforeIT.update_variables_with_totals!-Tuple{Model}","page":"API","title":"BeforeIT.update_variables_with_totals!","text":"update_variables_with_totals!(model::Model)\n\nUpdate the variables in the given model with some global quantities obtained from all agents. This is the last step in the initialization process and it must be performed after all agents have been initialized.\n\nArguments\n\nmodel::Model: The model object to update.\n\nReturns\n\nNothing\n\n\n\n\n\n","category":"method"},{"location":"api.html#Functions-to-run-an-entire-simulation","page":"API","title":"Functions to run an entire simulation","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"one_epoch.jl\", \"one_simulation.jl\"]","category":"page"},{"location":"api.html#BeforeIT.run_one_epoch!-Tuple{Any}","page":"API","title":"BeforeIT.run_one_epoch!","text":"run_one_epoch!(model; multi_threading = false)\n\nThis function simulates a single epoch the economic model, updating various components of the model based the interactions between different economic agents. It accepts a model object, which encapsulates the state for the simulation, and an optional boolean parameter multi_threading to enable or disable multi-threading.\n\nKey operations performed include:\n\nFinancial adjustments for firms and banks, including insolvency checks and profit calculations.\nEconomic expectations and adjustments, such as growth, inflation, and central bank rates.\nLabor and credit market operations, including wage updates and loan processing.\nHousehold economic activities, including consumption and investment budgeting.\nGovernment and international trade financial activities, including budgeting and trade balances.\nGeneral market matching and accounting updates to reflect changes in economic indicators and positions.\n\nThe function updates the model in-place and does not return any value.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.run_n_sims-Tuple{Any, Any}","page":"API","title":"BeforeIT.run_n_sims","text":"run_n_sims(model, n_sims; shock = NoShock(), multi_threading = true)\n\nA function that runs n_sims simulations in parallel with multiple threading and returns a vector of data objects of dimension n_sims.\n\nArguments\n\nmodel: The model configuration used to simulate.\nn_sims: The number of simulations to run in parallel.\n\nReturns\n\ndata_vector: A vector containing the data objects collected during each simulation.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.run_one_sim!-Tuple{Any}","page":"API","title":"BeforeIT.run_one_sim!","text":"run_one_sim!(model; shock = NoShock())\n\nRun a single simulation based on the provided model. The simulation runs for a number of epochs specified by model.prop.T.\n\nArguments\n\nmodel::Model: The model configuration used for the simulation.\n\nReturns\n\ndata::Data: The data collected during the simulation.\n\nDetails\n\nThe function initializes the data using BeforeIT.init_data(model), then iteratively updates the model and data for each epoch using BeforeIT.run_one_epoch!(model) and BeforeIT.update_data!(data, model) respectively.\n\nExample\n\n```julia model = BeforeIT.initializemodel(parameters, initialconditions, T) data = runonesim!(model)\n\n\n\n\n\n","category":"method"},{"location":"api.html#Firms-actions","page":"API","title":"Firms actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"firms.jl\"]","category":"page"},{"location":"api.html#BeforeIT.firms_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_deposits","text":"firms_deposits(firms, model)\n\nCalculate the new deposits of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nDD_i: Vector of new deposits\n\nThe new deposits DD_i are calculated as follows:\n\nDD_i = sales + labour_cost + material_cost + taxes_products + taxes_production + corporate_tax + dividend_payments + interest_payments + interest_received + investment_cost + new_credit + debt_installment\n\nwhere:\n\nsales = P_i * Q_i\nlabour_cost = (1 + tau_SIF) * w_i * N_i * P_bar_HH\nmaterial_cost = -DM_i * P_bar_i\ntaxes_products = -tau_Y_i * P_i * Y_i\ntaxes_production = -tau_K_i * P_i * Y_i\ncorporate_tax = -tau_FIRM * pos(Pi_i)\ndividend_payments = -theta_DIV * (1 - tau_FIRM) * pos(Pi_i)\ninterest_payments = -r * (L_i + pos(-D_i))\ninterest_received = r_bar * pos(D_i)\ninvestment_cost = -P_CF_i * I_i\nnew_credit = DL_i\ndebt_installment = -theta * L_i\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_equity","text":"firms_equity(firms, model)\n\nCalculate the equity of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nE_i: Vector of equity\n\nThe equity E_i is calculated as follows:\n\nE_i = D_i + M_i * sum(a_sg G_i * barP_g) + P_i * S_i + barP_CF * K_i - L_i\n\nwhere:\n\nD_i: Deposits\nM_i: Intermediate goods\na_sg: Technology coefficient of the gth product in the sth industry\nG_i: Vector of goods\nP_bar_g: Producer price index for principal good g\nP_i: Price\nS_i: Stock\nP_bar_CF: Capital price index\nK_i: Capital stock\nL_i: Loans\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_expectations_and_decisions-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_expectations_and_decisions","text":"firms_expectations_and_decisions(firms, model)\n\nCalculate the expectations and decisions of firms. That is: compute firm quantity, price, investment and intermediate-goods, employment decisions, expected profits, and desired/expected loans and capital.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nQ_s_i: Vector of desired quantities\nI_d_i: Vector of desired investments\nDM_d_i: Vector of desired intermediate goods\nN_d_i: Vector of desired employment\nPi_e_i: Vector of expected profits\nDL_d_i: Vector of desired new loans\nK_e_i: Vector of expected capital\nL_e_i: Vector of expected loans\nP_i: Vector of prices\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_loans-Tuple{Any, Any}","page":"API","title":"BeforeIT.firms_loans","text":"firms_loans(firms, model)\n\nCalculate the new loans of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nL_i: Vector of new loans\n\nThe new loans L_i are calculated as follows:\n\nL_i = (1 - theta) * L_i + DL_i\n\nwhere:\n\ntheta: Rate of repayment\nL_i: Loans\nDL_i: Acquired new loans\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_production-Tuple{AbstractFirms}","page":"API","title":"BeforeIT.firms_production","text":"firms_production(firms)\n\nCalculate the production of firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nY_i: Vector of production\n\nThe production Y_i is computed using a Leontief technology.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_profits-Tuple{AbstractFirms, Model}","page":"API","title":"BeforeIT.firms_profits","text":"firms_profits(firms, model)\n\nCalculate the profits of firms.\n\nArguments\n\nfirms: Firms object\nmodel: Model object\n\nReturns\n\nPi_i: Vector of profits\n\nThe profits Pi_i are calculated as follows:\n\nPi_i = in_sales + in_deposits - out_wages - out_expenses - out_depreciation - out_taxes_prods - out_taxes_capital - out_loans\n\nwhere:\n\nin_sales = P_i * Q_i + P_i * DS_i\nin_deposits = r_bar * pos(D_i)\nout_wages = (1 + tau_SIF) * w_i * N_i * P_bar_HH\nout_expenses = 1 / beta_i * P_bar_i * Y_i\nout_depreciation = delta_i / kappa_i * P_CF_i * Y_i\nout_taxes_prods = tau_Y_i * P_i * Y_i\nout_taxes_capital = tau_K_i * P_i * Y_i\nout_loans = r * (L_i + pos(-D_i))\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_stocks-Tuple{Any}","page":"API","title":"BeforeIT.firms_stocks","text":"firms_stocks(firms)\n\nCalculate the stocks of firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nK_i: Vector of capital stock\nM_i: Vector of intermediate goods\nDS_i: Vector of differneces in stock of final goods\nS_i: Vector of stock of final goods\n\nThe stocks are calculated as follows:\n\nK_i = K_i - delta_i / kappa_i * Y_i + I_i\nM_i = M_i - Y_i / beta_i + DM_i\nDS_i = Y_i - Q_i\nS_i = S_i + DS_i\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.firms_wages-Tuple{AbstractFirms}","page":"API","title":"BeforeIT.firms_wages","text":"firms_wages(firms)\n\nCalculate the wages set by firms.\n\nArguments\n\nfirms: Firms object\n\nReturns\n\nw_i: Vector of wages\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.init_firms-Tuple{Any, Any}","page":"API","title":"BeforeIT.init_firms","text":"init_firms(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)\n\nInitialize firms with given parameters and initial conditions.\n\nArguments\n\nparameters: The parameters for initializing the firms.\ninitial_conditions: The initial conditions for the firms.\ntypeInt: (optional) The integer type to be used. Default is Int64.\ntypeFloat: (optional) The floating-point type to be used. Default is Float64.\n\nReturns\n\nfirms::Firms: The initialized firms.\nfirms_args::Tuple: The arguments used to initialize the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.leontief_production-NTuple{7, Any}","page":"API","title":"BeforeIT.leontief_production","text":"leontief_production(Q_s_i, N_i, alpha_i, K_i, kappa_i, M_i, beta_i)\n\nCalculate the production function of firms.\n\nArguments\n\nQ_s_i: Vector of desired quantities\nN_i: Vector of employment\nalpha_i: Vector of labour productivity\nK_i: Vector of capital stock\nkappa_i: Vector of capital productivity\nM_i: Vector of intermediate goods\nbeta_i: Vector of intermediate goods productivity\n\nReturns\n\nY_i: Vector of production\n\nThe Leontief production function Y_i is calculated as follows:\n\nY_i = min(Q_s_i min(N_i cdot alpha_i min(K_i cdot kappa_i M_i cdot beta_i)))\n\n\n\n\n\n","category":"method"},{"location":"api.html#Households-actions","page":"API","title":"Households actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"households.jl\"]","category":"page"},{"location":"api.html#Government-actions","page":"API","title":"Government actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"government.jl\"]","category":"page"},{"location":"api.html#BeforeIT.gov_expenditure-Tuple{Any, Any}","page":"API","title":"BeforeIT.gov_expenditure","text":"gov_expenditure(gov::AbstractGovernment, model)\n\nComputes government expenditure on consumption and transfers to households.\n\nArguments\n\ngov: government object\nmodel: model object\n\nReturns\n\nC_G: government consumption\nC_d_j: local government consumptions\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_loans-Tuple{Any, Any}","page":"API","title":"BeforeIT.gov_loans","text":"gov_loans(gov::AbstractGovernment, model, Y_G)\n\nComputes government new government debt.\n\nArguments\n\ngov::AbstractGovernment: government object\nmodel: model object\n\nReturns\n\nL_G: new government debt\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_revenues-Tuple{Model}","page":"API","title":"BeforeIT.gov_revenues","text":"gov_revenues(model)\n\nComputes government revenues from taxes and social security contributions. The government collects taxes on labour income, capital income, value added, and corporate income. It also collects social security contributions from workers and firms. The government also collects taxes on consumption and capital formation. Finally, the government collects taxes on exports and imports.\n\nArguments\n\nmodel: model object\n\nReturns\n\nY_G: government revenues\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.gov_social_benefits-Tuple{AbstractGovernment, Any}","page":"API","title":"BeforeIT.gov_social_benefits","text":"gov_social_benefits(gov::AbstractGovernment, model)\n\nComputes social benefits paid by the government households.\n\nArguments\n\ngov: government object\nmodel: model object\n\nReturns\n\nsb_other: social benefits for other households\nsb_inact: social benefits for inactive households\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.init_government-Tuple{Any, Any}","page":"API","title":"BeforeIT.init_government","text":"init_government(parameters, initial_conditions; typeInt = Int64, typeFloat = Float64)\n\nInitialize the government agent.\n\nArguments\n\nparameters: The parameters.\ninitial_conditions: The initial conditions.\ntypeInt: The integer type to be used (default: Int64).\ntypeFloat: The floating-point type to be used (default: Float64).\n\nReturns\n\nThe initialized government model.\nThe arguments used to initialize the government model.\n\n\n\n\n\n","category":"method"},{"location":"api.html#Bank-and-Central-Bank-actions","page":"API","title":"Bank and Central Bank actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"bank.jl\"]","category":"page"},{"location":"api.html#BeforeIT._bank_deposits-NTuple{7, Any}","page":"API","title":"BeforeIT._bank_deposits","text":"_deposit_bank(waD_h, wiD_h, fD_h, bD_h, fD_i, bE_k, fL_i)\n\nHelper function to calculate the new deposits of a bank.\n\nArguments\n\nwaD_h: Array of deposits from active workers\nwiD_h: Array of deposits from inactive workers\nfD_h: Array of deposits from firms\nbD_h: Deposits from the bank owner\nfD_i: Array of deposits from firms\nbE_k: Bank equity\nfL_i: Array of loans to firms\n\nReturns\n\nD_k: New deposits of the bank\n\nThe new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT._bank_profits-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractVector{T}, AbstractVector{T}, T, T, T}} where T","page":"API","title":"BeforeIT._bank_profits","text":"_bank_profits(L_i, D_i, D_h, D_k, r_bar, r)\n\nHelper function to calculate the total profits of a bank.\n\nArguments\n\nL_i: Array of loans provided by the bank\nD_i: Array of deposits from firms\nD_h: Array of deposits from households\nD_k: Residual and balancing item on the bank’s balance sheet\nr_bar: Base interest rate\nr: Interest rate set by the bank\n\nReturns\n\nPi_k: Total profits of the bank\n\nThe total profits Pi_k are calculated as follows:\n\nPi_k = r cdot sum_i(L_i + max(0 -D_i)) + r cdot sum_h(max(0 -D_h)) + r_bar \ncdot max(0 D_k) - r_bar cdot sum_i(max(0 D_i)) - r_bar cdot \nsum_h(max(0 D_h)) - r_bar cdot max(0 -D_k)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT._central_bank_profits-NTuple{4, Any}","page":"API","title":"BeforeIT._central_bank_profits","text":"_central_bank_profits(r_bar, D_k, L_G, r_G)\n\nHelper function to calculate the profits of a central bank.\n\nArguments\n\nr_bar: The base interest rate\nD_k: Deposits from commercial banks\nL_G: Loans provided to the government\nr_G: Interest rate on government loans\n\nReturns\n\nPi_CB: Profits of the central bank\n\nThe profits Pi_CB are calculated as follows:\n\nPi_CB = r_G cdot L_G - r_bar cdot D_k\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_deposits","text":"deposits_bank(bank, w_act, w_inact, firms)\n\nCalculate the new deposits of a bank.\n\nArguments\n\nbank: The Bank object containing the bank of the model\nw_act: The Workers object containing the active workers of the model\nw_inact: The Workers object containing the inactive workers of the model\nfirms: The Firms object containing the firms of the model\n\nReturns\n\nD_k: New deposits of the bank\n\nThe new deposits D_k are calculated as the sum of the deposits of the active workers, the inactive workers, the firms, and the bank owner itself, plus the bank's equity, minus the loans of the firms.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_equity","text":"bank_equity(bank, model)\n\nCalculate the net profits of a bank.\n\nArguments\n\nbank: The bank object.\nmodel: The model object.\n\nReturns\n\nE_k: The updated equity of the bank.\n\nThe net profits DE_k are calculated as:\n\nDE_k = Pi_k - theta_DIV cdot (1 - tau_FIRM) cdot max(0 Pi_k) - tau_FIRM cdot max(0 Pi_k)\n\nand the equity E_k is updated as:\n\nE_k = E_k + DE_k\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_expected_profits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_expected_profits","text":"bank_expected_profits(Pi_k, pi_e, gamma_e)\n\nCalculate the expected profits of a bank.\n\nArguments\n\nPi_k: Past profits of the bank\npi_e: Expected inflation rate\ngamma_e: Expected growth rate\n\nReturns\n\nE_Pi_k: Expected profits of the bank\n\nThe expected profits E_Pi_k are calculated as follows:\n\nE_Pi_k = Pi_k cdot (1 + pi_e) cdot (1 + gamma_e)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_profits-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_profits","text":"bank_profits(bank, model)\n\nCalculate the total profits of a bank.\n\nArguments\n\nbank: The bank object.\nmodel: The model object.\n\nReturns\n\nPi_k: The total profits of the bank.\n\nThe total profits Pi_k are calculated as:\n\nPi_k = r cdot sum_i(L_i + max(0 -D_i)) + r cdot sum_h(max(0 -D_h)) + r_bar\ncdot max(0 D_k) - r_bar cdot sum_i(max(0 D_i)) - r_bar cdot\nsum_h(max(0 D_h)) - r_bar cdot max(0 -D_k)\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.bank_rate-Tuple{Any, Any}","page":"API","title":"BeforeIT.bank_rate","text":"bank_rate(bank, model)\n\nUpdate the interest rate set by the bank.\n\nArguments\n\nbank: The bank whose interest rate is to be updated\nmodel: Model object\n\nReturns\n\nr: The updated interest rate\n\nr = barr + mu\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.central_bank_equity-Tuple{Any, Any}","page":"API","title":"BeforeIT.central_bank_equity","text":"central_bank_equity(cb, model)\n\nCalculate the equity of the central bank.\n\nArguments\n\ncb: The central bank\nmodel: The model object\n\nReturns\n\nE_CB: The equity of the central bank\n\nThe equity E_CB is calculated as follows:\n\nE_CB = E_CB + Pi_CB\n\nwhere \\Pi_{CB} are the profits of the central bank.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.central_bank_rate-Tuple{AbstractCentralBank, Model}","page":"API","title":"BeforeIT.central_bank_rate","text":"central_bank_rate(cb, model)\n\nUpdate the base interest rate set by the central bank according to the Taylor rule.\n\nArguments\n\ncb: The central bank whose base interest rate is to be updated\nmodel: The model object\n\nReturns\n\nr_bar: The updated base interest rate\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.finance_insolvent_firms!-Tuple{AbstractFirms, AbstractBank, Any}","page":"API","title":"BeforeIT.finance_insolvent_firms!","text":"finance_insolvent_firms!(firms, bank, P_bar_CF, zeta_b, insolvent)\n\nRifinance insolvent firms using bank equity.\n\nArguments\n\nfirms: The Firms object containing the firms of the model\nbank: The Bank object containing the bank of the model\nP_bar_CF: Capital price index\nzeta_b: Parameter of loan-to-capital ratio for new firms after bankruptcy\n\nReturns\n\nThis function does not return a value. It modifies the banks and firms collections in-place.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.taylor_rule-Union{Tuple{T}, NTuple{8, T}} where T","page":"API","title":"BeforeIT.taylor_rule","text":"taylor_rule(rho, r_bar, r_star, pi_star, xi_pi, xi_gamma, gamma_EA, pi_EA)\n\nCalculate the interest rate according to the Taylor rule.\n\nArguments\n\nrho: Parameter for gradual adjustment of the policy rate.\nr_bar: Nominal interest rate.\nr_star: Real equilibrium interest rate.\npi_star: The target inflation rate.\nxi_pi: Weight the CB puts on inflation targeting.\nxi_gamma: Weight placed on economic growth.\ngamma_EA: The output growth rate.\npi_EA: The inflation rate.\n\nReturns\n\nrate: The calculated interest rate.\n\nThe Taylor rule is given by the following equation:\n\nr_t = ρ * r_t-1 + (1 - ρ) * (r^* + π^* + ξ_π * (π_t - π^*) + ξ_γ * γ_t)\n\n\n\n\n\n","category":"method"},{"location":"api.html#Rest-Of-The-World-actions","page":"API","title":"Rest Of The World actions","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"rotw.jl\"]","category":"page"},{"location":"api.html#BeforeIT.rotw_deposits-Tuple{Any, Any}","page":"API","title":"BeforeIT.rotw_deposits","text":"rotw_deposits(rotw, tau_EXPORT)\n\nCalculate the deposits of the rest of the world.\n\nArguments\n\nrotw: The rest of the world object.\ntau_EXPORT: The export tax.\n\nReturns\n\nD_RoW: The deposits of the rest of the world.\n\nThe deposits D_RoW are calculated as follows:\n\nD_RoW = D_RoW + left( sum_m P_m cdot Q_m right) - (1 + tau_EXPORT) cdot C_l\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.rotw_import_export-Tuple{Any, Any}","page":"API","title":"BeforeIT.rotw_import_export","text":"rotw_import_export(rotw, model, pi_e, epsilon_E, epsilon_I)\n\nCalculate the demand for exports and supply of imports of the rest of the world.\n\nArguments\n\nrotw: The rest of the world object.\nmodel: The model object.\n\nReturns\n\nC_E: Total demand for exports.\nY_I: Supply of imports (in real terms).\nC_d_l: TDemand for exports of specific product.\nY_m: Supply of imports per sector.\nP_m: Price of imports per sector.\n\n\n\n\n\n","category":"method"},{"location":"api.html#Markets","page":"API","title":"Markets","text":"","category":"section"},{"location":"api.html","page":"API","title":"API","text":"Modules = [BeforeIT]\nOrder = [:type, :function]\nPages = [\"search_and_matching_credit.jl\", \"search_and_matching_labour.jl\", \"search_and_matching.jl\"]","category":"page"},{"location":"api.html#BeforeIT.search_and_matching_credit-Tuple{AbstractFirms, Any}","page":"API","title":"BeforeIT.search_and_matching_credit","text":"search_and_matching_credit(firms::Firms, model)\n\nThis function calculates the credit allocation for each firm in the given firms object.\n\nParameters:\n\nfirms::Firms: The firms object.\nmodel: The model object.\n\nReturns:\n\nDL_i: An array of credit allocations for each firm.\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.search_and_matching_labour-Tuple{AbstractFirms, Any}","page":"API","title":"BeforeIT.search_and_matching_labour","text":"search_and_matching_labour(firms::Firms, model)\n\nThis function implements a labor search and matching algorithm. It takes in a Firms object and a Model object as input. The Firms object contains information about the number of desired employees (N_d_i) and the current number of employees (N_i) for each firm. The model object contains information about the current employment status (O_h) of each worker.\n\nThe function performs the following steps:\n\nCalculates the vacancies (V_i) for each firm as the difference between desired and current employees.\nIdentifies employed workers and shuffles them randomly.\nFires workers from firms with negative vacancies to adjust the workforce.\nIdentifies unemployed workers and firms with positive vacancies.\nRandomly matches unemployed workers to firms with vacancies until all vacancies are filled or there are no more unemployed workers.\n\nThe function returns:\n\nN_i: An updated array of the number of employed workers for each firm.\nO_h: An updated array where each element represents the firm a worker is employed with (0 if unemployed).\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.perform_firms_market!-NTuple{15, Any}","page":"API","title":"BeforeIT.perform_firms_market!","text":"Perform the firms market exchange process\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.perform_retail_market!-NTuple{31, Any}","page":"API","title":"BeforeIT.perform_retail_market!","text":"Perform the retail market exchange process\n\n\n\n\n\n","category":"method"},{"location":"api.html#BeforeIT.search_and_matching!","page":"API","title":"BeforeIT.search_and_matching!","text":"search_and_matching!(model, multi_threading::Bool = false)\n\nThis function performs a search and matching algorithm for firms and for retail markets. It takes in a model object and an optional boolean argument for multi-threading. The function loops over all goods and performs the firms market and retail market operations for each good. Finally, it updates the aggregate variables based on the results of markets.\n\nArgs:\n\nmodel: The model object\nmulti_threading: A boolean indicating whether to use multi-threading for the algorithm. Default is false.\n\nThis function updates the model in-place and does not return any value.\n\n\n\n\n\n","category":"function"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"EditURL = \"../../../examples/basic_example.jl\"","category":"page"},{"location":"examples/basic_example.html#Essential-use-of-BeforeIT","page":"Essentials","title":"Essential use of BeforeIT","text":"","category":"section"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We start by importing the BeforeIT library and other useful libraries.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"import BeforeIT as Bit\nusing FileIO, Plots","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We then initialise the model loading some precomputed set of parameters and by specifying a number of epochs. In another tutorial we will illustrate how to compute parameters and initial conditions.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"parameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can now initialise the model, by specifying in advance the maximum number of epochs.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"T = 16\nmodel = Bit.init_model(parameters, initial_conditions, T)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that the it is very simple to inspect the model by typing","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"fieldnames(typeof(model))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"and to inspect the specific attributes of one agent type by typing","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"fieldnames(typeof(model.bank))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can now define a data tracker, which will store the time series of the model.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"data = Bit.init_data(model);\nnothing #hide","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can run now the model for a number of epochs and progressively update the data tracker.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"for t in 1:T\n Bit.run_one_epoch!(model; multi_threading = true)\n Bit.update_data!(data, model)\nend","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that we can equivalently run the model for a number of epochs in the single command data = BeforeIT.run_one_sim!(model), but writing the loop explicitely is more instructive.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can then plot any time series stored in the data tracker, for example","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"plot(data.real_gdp, title = \"gdp\", titlefont = 10)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Or we can plot multiple time series at once using the function plot_data","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"ps = Bit.plot_data(data, quantities = [:real_gdp, :real_household_consumption, :real_government_consumption, :real_capitalformation, :real_exports, :real_imports, :wages, :euribor, :gdp_deflator])\nplot(ps..., layout = (3, 3))","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"To run multiple monte-carlo repetitions in parallel we can use","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"model = Bit.init_model(parameters, initial_conditions, T)\ndata_vector = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Note that this will use the number of threads specified when activating the Julia environment. To discover the number of threads available, you can use the command","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"Threads.nthreads()","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"To activate Julia with a specific number of threads, say 8, you can use the command julia -t 8 in the terminal.","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"We can then plot the results of the monte-carlo repetitions using the function plot_data_vector","category":"page"},{"location":"examples/basic_example.html","page":"Essentials","title":"Essentials","text":"ps = Bit.plot_data_vector(data_vector)\nplot(ps..., layout = (3, 3))","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"EditURL = \"../../../examples/change_expectations.jl\"","category":"page"},{"location":"examples/change_expectations.html#Changing-expectations-via-function-overloading","page":"Experimentations (advanced)","title":"Changing expectations via function overloading","text":"","category":"section"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"In this tutorial we will illustrate how to experiment with different expectations of the agents in the model.","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"import BeforeIT as Bit\nusing Random, Plots","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Import standard parameters and initial conditions","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"par = Bit.AUSTRIA2010Q1.parameters\ninit = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Set the seed, initialise the model and run one simulation","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Random.seed!(1234)\nT = 40\nmodel = Bit.init_model(par, init, T)\ndata = Bit.run_one_sim!(model)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Now we can experiment with changing expectations of the agents in the model. We will change the function estimate_next_value to make the agents expect the last value of the time series (so to represent backward looking expectations)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"import BeforeIT: estimate_next_value\nfunction estimate_next_value(data)\n return data[end]\nend","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Run the model again, with the same seed","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Random.seed!(1234)\nmodel = Bit.init_model(par, init, T)\ndata_back = Bit.run_one_sim!(model)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Plot the results, comparing the two cases as different lines","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"p1 = plot(data.real_gdp, title = \"gdp\", titlefont = 10, label = \"forward looking\")\nplot!(p1, data_back.real_gdp, titlefont = 10, label = \"backward looking\")\n\np2 = plot(data.real_household_consumption, title = \"consumption\", titlefont = 10)\nplot!(p2, data_back.real_household_consumption, titlefont = 10, label = \"backward looking\")\n\nplot(p1, p2, layout = (2, 1), legend = true)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Plot all time series","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"p1 = plot(data.real_gdp, title = \"gdp\", titlefont = 10)\nplot!(p1, data_back.real_gdp, titlefont = 10)\np2 = plot(data.real_household_consumption, title = \"household cons.\", titlefont = 10)\nplot!(p2, data_back.real_household_consumption, titlefont = 10)\np3 = plot(data.real_government_consumption, title = \"gov. cons.\", titlefont = 10)\nplot!(p3, data_back.real_government_consumption, titlefont = 10)\np4 = plot(data.real_capitalformation, title = \"capital form.\", titlefont = 10)\nplot!(p4, data_back.real_capitalformation, titlefont = 10)\np5 = plot(data.real_exports, title = \"exports\", titlefont = 10)\nplot!(p5, data_back.real_exports, titlefont = 10)\np6 = plot(data.real_imports, title = \"imports\", titlefont = 10)\nplot!(p6, data_back.real_imports, titlefont = 10)\np7 = plot(data.wages, title = \"wages\", titlefont = 10)\nplot!(p7, data_back.wages, titlefont = 10)\np8 = plot(data.euribor, title = \"euribor\", titlefont = 10)\nplot!(p8, data_back.euribor, titlefont = 10)\np9 = plot(data.nominal_gdp ./ data.real_gdp, title = \"gdp deflator\", titlefont = 10)\nplot!(p9, data_back.nominal_gdp ./ data_back.real_gdp, titlefont = 10)\n\nplot(p1, p2, p3, p4, p5, p6, p7, p8, p9, layout = (3, 3), legend = false)","category":"page"},{"location":"examples/change_expectations.html","page":"Experimentations (advanced)","title":"Experimentations (advanced)","text":"Note that, importantly, once the function estimate_next_value has been changed, the model will use the new expectations in all the simulations, unless the function is changed again. To restore the original expectations you could close the Julia session.","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"EditURL = \"../../../examples/scenario_analysis_via_overload.jl\"","category":"page"},{"location":"examples/scenario_analysis_via_overload.html#Scenario-analysis-via-function-overloading","page":"Shocked simulations (advanced)","title":"Scenario analysis via function overloading","text":"","category":"section"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"In this tutorial we will illustrate how to perform a scenario analysis by running the model multiple times under a specific shock and comparing the results with the unshocked model.","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"import BeforeIT as Bit\nusing Plots, StatsPlots\n\nparameters = Bit.AUSTRIA2010Q1.parameters\ninitial_conditions = Bit.AUSTRIA2010Q1.initial_conditions","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Initialise the model and the data collector","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"T = 20\nmodel = Bit.init_model(parameters, initial_conditions, T);\ndata = Bit.init_data(model);\nnothing #hide","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Simulate the model for T quarters","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"data_vec_baseline = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Now, apply a shock to the model and simulate it again Here, we do this by overloading the centralbankrate function with the wanted behaviour","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"import BeforeIT: central_bank_rate\n\nfunction central_bank_rate(cb::Bit.CentralBank, model::Bit.Model)\n gamma_EA = model.rotw.gamma_EA\n pi_EA = model.rotw.pi_EA\n taylor_rate = Bit.taylor_rule(cb.rho, cb.r_bar, cb.r_star, cb.pi_star, cb.xi_pi, cb.xi_gamma, gamma_EA, pi_EA)\n if model.agg.t < 10\n return 0.01\n else\n return taylor_rate\n end\nend\n\ndata_vec_shocked = Bit.run_n_sims(model, 4)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Finally, we can plot baseline and shocked simulations","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Te = T + 1\nStatsPlots.errorline(\n 1:Te,\n data_vec_baseline.real_gdp,\n errortype = :sem,\n label = \"baseline\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)\nStatsPlots.errorline!(\n 1:Te,\n data_vec_shocked.real_gdp,\n errortype = :sem,\n label = \"shock\",\n titlefont = 10,\n xlabel = \"quarters\",\n ylabel = \"GDP\",\n)","category":"page"},{"location":"examples/scenario_analysis_via_overload.html","page":"Shocked simulations (advanced)","title":"Shocked simulations (advanced)","text":"Note that, importantly, once the function central_bank_rate has been changed, the model will use the new interest rate in all the simulations, unless the function is changed again. To restore the original interest rate, you could close and restart the Julia session.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"EditURL = \"../../../examples/get_parameters_and_initial_conditions.jl\"","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"In this tutorial we illustrate how to calibrate the model to the Italian data for a specific quarter","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"import BeforeIT as Bit\nusing Dates, FileIO","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"We start from loading the calibration object for italy, which contains 4 datasets: calibration_data, figaro, data, and ea. These are saved within BeforeIT.jl for the Italian case, and would need to be appropriately generated for other countries.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"cal = Bit.ITALY_CALIBRATION\nfieldnames(typeof(cal))","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"These are essentially 4 dictionaries with well defined keys, such as","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"println(keys(cal.calibration))\nprintln(keys(cal.figaro))\nprintln(keys(cal.data))\nprintln(keys(cal.ea))","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"The object also contains two time variables related to the data","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"println(cal.max_calibration_date)\nprintln(cal.estimation_date)","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"We can calibrate the model on a specific quarter as follows","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"calibration_date = DateTime(2010, 03, 31)\nparameters, initial_conditions = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.01)","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"In general, we might want to repeat this operation for multiple quarters. In the following, we loop over all quarters from 2010Q1 to 2019Q4 and save the parameters and initial conditions in separate files. We can then load these files later to run the model for each quarter.","category":"page"},{"location":"examples/get_parameters_and_initial_conditions.html","page":"Calibration","title":"Calibration","text":"start_calibration_date = DateTime(2010, 03, 31)\nend_calibration_date = DateTime(2019, 12, 31)\n\nfor calibration_date in collect(start_calibration_date:Dates.Month(3):end_calibration_date)\n params, init_conds = Bit.get_params_and_initial_conditions(cal, calibration_date; scale = 0.0005)\n save(\n \"data/italy/parameters/\" *\n string(year(calibration_date)) *\n \"Q\" *\n string(Dates.quarterofyear(calibration_date)) *\n \".jld2\",\n params,\n )\n save(\n \"data/italy/initial_conditions/\" *\n string(year(calibration_date)) *\n \"Q\" *\n string(Dates.quarterofyear(calibration_date)) *\n \".jld2\",\n init_conds,\n )\nend","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"CurrentModule = BeforeIT ","category":"page"},{"location":"index.html#Behavioural-agent-based-economic-forecasting-in-Julia","page":"Home","title":"Behavioural agent-based economic forecasting in Julia","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Welcome to BeforeIT.jl, a Julia implementation of the agent-based model presented in Economic forecasting with an agent-based model, the first ABM matching the performance of traditional economic forecasting tools.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"With BeforeIT.jl, you can perform economic forecasting and explore different counterfactual scenarios. Thanks to its modular design, the package is also a great starting point for anyone looking to extend its capabilities or integrate it with other tools.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"Developed in Julia, a language known for its efficiency, BeforeIT.jl is both fast and user-friendly, making it accessible whether you’re an expert programmer or just starting out.","category":"page"},{"location":"index.html#Julia-installation","page":"Home","title":"Julia installation","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To run this software, you will need a working Julia installation on your machine. If you don't have it installed already, simply follow the short instructions available here.","category":"page"},{"location":"index.html#BeforeIT.jl-Installation","page":"Home","title":"BeforeIT.jl Installation","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To install BeforeIT.jl, simply open a Julia REPL by writing julia in your terminal, and then execute the following","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg\nPkg.add(\"BeforeIT\")","category":"page"},{"location":"index.html#Quick-example","page":"Home","title":"Quick example","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"To check that the installation worked, try running the model in your terminal following","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using BeforeIT\n\nparameters = BeforeIT.AUSTRIA2010Q1.parameters\ninitial_conditions = BeforeIT.AUSTRIA2010Q1.initial_conditions\n\nT = 20\nmodel = BeforeIT.initialise_model(parameters, initial_conditions, T)\ndata = BeforeIT.run_one_sim!(model)","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"To plot the results of the simulation, you can use the Plots package","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Plots\n\nplot(data.real_gdp)","category":"page"},{"location":"index.html#License","page":"Home","title":"License","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"BeforeIT.jl is released under the GNU Affero General Public License v3 or later (AGPLv3+).","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"Copyright 2024 - Banca d'Italia and the authors.","category":"page"},{"location":"index.html#Main-developers-and-maintainers","page":"Home","title":"Main developers and maintainers","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Aldo Glielmo \nMitja Devetak \nAdriano Meligrana ","category":"page"},{"location":"index.html#Other-collaborators-and-contributors","page":"Home","title":"Other collaborators and contributors","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Sebastian Poledna \nMarco Benedetti\nSara Corbo for the logo design\nAndrea Gentili for suggesting the name of the pakege\nArnau Quera-Bofarull for help in the deployment of the documentation\nSteven Hoekstra for fixing a bug in a script","category":"page"},{"location":"index.html#Disclaimer","page":"Home","title":"Disclaimer","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"This package is an outcome of a research project. All errors are those of the authors. All views expressed are personal views, not those of Bank of Italy.","category":"page"},{"location":"index.html#Reproducibility","page":"Home","title":"Reproducibility","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"
The documentation of BeforeIT.jl was built using these direct dependencies,","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg # hide\nPkg.status() # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
and using this machine and Julia version.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using InteractiveUtils # hide\nversioninfo() # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
A more complete overview of all dependencies and their versions is also provided.","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg # hide\nPkg.status(; mode = PKGMODE_MANIFEST) # hide","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"
","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using TOML\nusing Markdown\nversion = TOML.parse(read(\"../../Project.toml\", String))[\"version\"]\nname = TOML.parse(read(\"../../Project.toml\", String))[\"name\"]\nlink_manifest = \"https://github.com/BeforeIT/\" * name * \".jl/tree/gh-pages/v\" * version *\n \"/assets/Manifest.toml\"\nlink_project = \"https://github.com/BeforeIT/\" * name * \".jl/tree/gh-pages/v\" * version *\n \"/assets/Project.toml\"\nMarkdown.parse(\"\"\"You can also download the\n[manifest]($link_manifest)\nfile and the\n[project]($link_project)\nfile.\n\"\"\")","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"EditURL = \"../../../examples/multithreading_speedup.jl\"","category":"page"},{"location":"examples/multithreading_speedup.html#Multithreading-speedup-for-large-models","page":"Multithreading within the model","title":"Multithreading speedup for large models","text":"","category":"section"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"In this tutorial we illustrate how to make use of multi threading in BeforeIT.jl to allow for faster executions of single simulation runs.","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"import BeforeIT as Bit\nusing FileIO, Plots, StatsPlots","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"First, we initialise the model, this time we use the Italy 2010Q1 scenario, and we want to simulate the model for a large number of epochs","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"parameters = Bit.ITALY2010Q1.parameters\ninitial_conditions = Bit.ITALY2010Q1.initial_conditions\nT = 50\nmodel = Bit.init_model(parameters, initial_conditions, T);\nnothing #hide","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"The model is in scale 1:2000, so it has around 30,000 households","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"model.prop.H","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Note that the households number is actually the sum of active and inactive households, the owners of firms and of the bank","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"length(model.w_act) + length(model.w_inact) + length(model.firms) + 1","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Let's fist check how many threads we have available in this Julia session","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Threads.nthreads()","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Then we need to first compile the code not to count compilation time, we can do that just by executing the function one time","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Bit.run_one_sim!(model; multi_threading = false)","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Let's now compare the performance of single threading and multi threading","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"model = Bit.init_model(parameters, initial_conditions, T);\n@time data = Bit.run_one_sim!(model; multi_threading = false);\n\nmodel = Bit.init_model(parameters, initial_conditions, T);\n@time data = Bit.run_one_sim!(model; multi_threading = true);\nnothing #hide","category":"page"},{"location":"examples/multithreading_speedup.html","page":"Multithreading within the model","title":"Multithreading within the model","text":"Is the speedup in line to what we would expect? Yes!","category":"page"}] +} diff --git a/previews/PR34/siteinfo.js b/previews/PR34/siteinfo.js new file mode 100644 index 0000000..15966a9 --- /dev/null +++ b/previews/PR34/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR34"; diff --git a/versions.js b/versions.js new file mode 100644 index 0000000..4ec0f8f --- /dev/null +++ b/versions.js @@ -0,0 +1,5 @@ +var DOC_VERSIONS = [ + "dev", +]; +var DOCUMENTER_NEWEST = "dev"; +var DOCUMENTER_STABLE = "dev";