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sender_choleskey
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/* | ||
* MIT License | ||
* | ||
* Copyright (c) 2023 Chuanqiu He | ||
* Copyright (c) 2023 Weile Wei | ||
* Copyright (c) 2023 The Regents of the University of California, | ||
* through Lawrence Berkeley National Laboratory (subject to receipt of any | ||
* required approvals from the U.S. Dept. of Energy).All rights reserved. | ||
* | ||
* Permission is hereby granted, free of charge, to any person obtaining a copy | ||
* of this software and associated documentation files (the "Software"), to deal | ||
* in the Software without restriction, including without limitation the rights | ||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
* copies of the Software, and to permit persons to whom the Software is | ||
* furnished to do so, subject to the following conditions: | ||
* | ||
* The above copyright notice and this permission notice shall be included in | ||
* all copies or substantial portions of the Software. | ||
* | ||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
* SOFTWARE. | ||
*/ | ||
// | ||
// This example provides a stdexec(senders/receivers) implementation for choleskey decomposition code. | ||
#include <algorithm> | ||
#include <exec/any_sender_of.hpp> | ||
#include <experimental/mdspan> | ||
#include <iostream> | ||
#include <numeric> | ||
#include <stdexec/execution.hpp> | ||
#include <vector> | ||
#include "argparse/argparse.hpp" | ||
#include "commons.hpp" | ||
#include "exec/static_thread_pool.hpp" | ||
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#include "matrixutil.hpp" | ||
// using namespace stdexec; | ||
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using namespace std; | ||
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struct solver { | ||
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using view_2d = std::extents<int, std::dynamic_extent, std::dynamic_extent>; | ||
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template <typename T> | ||
std::vector<std::vector<T>> Cholesky_Decomposition(std::vector<T>& vec, int n, | ||
int np) { | ||
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// test here first, scheduler from a thread pool | ||
exec::static_thread_pool pool(np); | ||
stdexec::scheduler auto sch = pool.get_scheduler(); | ||
stdexec::sender auto begin = stdexec::schedule(sch); | ||
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std::vector<std::vector<T>> lower(n, std::vector<T>(n, 0)); | ||
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auto matrix_ms = | ||
std::mdspan<T, view_2d, std::layout_right>(vec.data(), n, n); | ||
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auto multiplier_lambda = [=](auto a, auto b) { | ||
return a * b; | ||
}; | ||
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for (int i = 0; i < matrix_ms.extent(0); i++) { | ||
for (int j = 0; j <= i; j++) { | ||
// avoid over parallelize | ||
if (j == 0) { | ||
np = 1; | ||
} else if (j > 0 && np > j) { | ||
np = j; | ||
} | ||
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if (j == i) // summation for diagonals | ||
{ | ||
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if (i == 0 && j == 0) { | ||
lower[j][j] = std::sqrt(matrix_ms(i, j)); | ||
} else { | ||
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std::vector<T> sum_vec(np); // sub res for each piece | ||
int size = j; // there are j elements need to be calculated(power) | ||
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stdexec::sender auto send1 = | ||
stdexec::bulk(begin, np, | ||
[&](int piece) { | ||
int start = piece * size / np; | ||
int chunk_size = size / np; | ||
int remaining = size % np; | ||
chunk_size += (piece == np - 1) ? remaining : 0; | ||
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sum_vec[piece] = std::transform_reduce( | ||
std::execution::par, | ||
counting_iterator(start), | ||
counting_iterator(start + chunk_size), 0, | ||
std ::plus{}, [=](int val) { | ||
return lower[j][val] * lower[j][val]; | ||
}); | ||
}) | | ||
stdexec::then([&sum_vec]() { | ||
return std::reduce(std::execution::par, sum_vec.begin(), | ||
sum_vec.end()); | ||
}); | ||
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auto [sum1] = stdexec::sync_wait(std::move(send1)).value(); | ||
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lower[j][j] = std::sqrt(matrix_ms(i, j) - sum1); | ||
} | ||
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} else { | ||
// Evaluating L(i, j) using L(j, j) | ||
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if (j == 0) { | ||
lower[i][j] = (matrix_ms(i, j)) / lower[j][j]; | ||
} else { | ||
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std::vector<T> sum_vec(np); // sub res for each piece | ||
int size_nondiag = j; | ||
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stdexec::sender auto send2 = | ||
stdexec::bulk( | ||
begin, np, | ||
[&](int piece) { | ||
int start = piece * size_nondiag / np; | ||
int chunk_size = size_nondiag / np; | ||
int remaining = size_nondiag % np; | ||
chunk_size += (piece == np - 1) ? remaining : 0; | ||
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sum_vec[piece] = std::transform_reduce( | ||
std::execution::par, counting_iterator(start), | ||
counting_iterator(start + chunk_size), 0, | ||
std ::plus{}, | ||
[=](int k) { return lower[j][k] * lower[i][k]; }); | ||
}) | | ||
stdexec::then([&sum_vec]() { | ||
return std::reduce(std::execution::par, sum_vec.begin(), | ||
sum_vec.end()); | ||
}); | ||
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auto [sum2] = stdexec::sync_wait(std::move(send2)).value(); | ||
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lower[i][j] = (matrix_ms(i, j) - sum2) / lower[j][j]; | ||
} | ||
} | ||
} | ||
} | ||
return lower; | ||
} | ||
}; | ||
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/////////////////////////////////////////////////////////////////////////////// | ||
int benchmark(args_params_t const& args) { | ||
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std::uint64_t nd = args.nd; // Number of matrix dimension. | ||
std::uint64_t np = args.np; // Number of parallel partitions. | ||
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std::vector<int> inputMatrix = generate_pascal_matrix<int>(nd); | ||
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// Create the solver object | ||
solver solve; | ||
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// Measure execution time. | ||
Timer timer; | ||
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// start decomposation | ||
auto res_matrix = solve.Cholesky_Decomposition(inputMatrix, nd, np); | ||
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// Print the final results | ||
if (args.results) { | ||
// Displaying Lower Triangular and its Transpose | ||
cout << setw(6) << " Lower Triangular" << setw(30) << "Transpose" << endl; | ||
for (int i = 0; i < nd; i++) { | ||
// Lower Triangular | ||
for (int j = 0; j < nd; j++) | ||
cout << setw(6) << res_matrix[i][j] << "\t"; | ||
cout << "\t"; | ||
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// Transpose of Lower Triangular | ||
for (int j = 0; j < nd; j++) | ||
cout << setw(6) << res_matrix[j][i] << "\t"; | ||
cout << endl; | ||
} | ||
} | ||
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if (args.time) { | ||
std::cout << "Duration: " << time << " ms." | ||
<< "\n"; | ||
} | ||
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return 0; | ||
} | ||
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// Driver Code for testing | ||
int main(int argc, char* argv[]) { | ||
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// parse params | ||
args_params_t args = argparse::parse<args_params_t>(argc, argv); | ||
// see if help wanted | ||
if (args.help) { | ||
args.print(); // prints all variables | ||
return 0; | ||
} | ||
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benchmark(args); | ||
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return 0; | ||
} |
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