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main.typ
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#let (
generate-empty,
generate-table,
truth-table,
truth-table-empty,
NAND,
NOR,
nand,
nor,
karnaugh-empty,
//karnaugh,
) = {
let symboles-conv(a) = {
if (a) {
"1"
} else { "0" }
}
/// Transform a simple math equation to a string
let _strstack(obj) = {
let i = obj.at("body", default: false)
if i == false {
return obj
.values()
.map(a => a.map(subobj => if subobj.has("text") {
subobj.text
} else {
if subobj.fields().len() == 0 {
" "
} else {
if (subobj.has("b")) {
subobj.base.text + "_" + subobj.b.text
} else {
_strstack(subobj.fields())
}
}
}))
} else if obj.body.has("b") {
return obj.body.base.text + "_" + obj.body.b.text
} else if not obj.body.has("children") {
return " "
} else {
return obj
.body
.children
.map(subobj => {
if subobj.has("text") {
subobj.text
} else {
if subobj.fields().len() == 0 {
" "
} else {
if (subobj.has("b")) {
subobj.base.text + "_" + subobj.b.text
} else {
_strstack(subobj.fields())
}
}
}
})
.flatten()
.join("")
}
}
/// Replaces names with their values (true or false)
let _replaces(names, vals, obj) = {
// Replace names by their values
let text = obj
for e in range(names.len()) {
let reg = regex("\b(?:\(?\s?)(" + names.at(e) + ")(?:\s?\W?\)?)?\b")
for f in text.matches(reg) {
text = text.replace(reg, vals.at(e))
}
}
// Basic operations, they doesn't need a particular approach
text = str(text.replace("∧", "and").replace("∨", "or")).replace("¬", "not").replace("→", "⇒")
// => Approach
// Please implement the do while :pray:
while true {
let pos = text.match(regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*⇒[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+")) // regex hell
if (pos != none) {
text = text.replace(pos.text, "not " + pos.text.replace("⇒", "or", count: 1))
} else { break }
}
// ↑ Approach
while true {
let pos = text.match(regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*↑[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+"))
if (pos != none) {
text = text.replace(pos.text, "not(" + pos.text.replace("↑", "and", count: 1) + ")")
} else { break }
}
// ↓ Approach
while true {
let pos = text.match(regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*↓[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+"))
if (pos != none) {
text = text.replace(pos.text, "not(" + pos.text.replace("↓", "or", count: 1) + ")")
} else { break }
}
// <=> Approach
while true {
let pos = text.match(regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*⇔[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+"))
if (pos != none) {
text = text.replace(pos.text, "(" + pos.text.replace("⇔", "==", count: 1) + ")")
} else { break }
}
// a ? b : c Approach
while true {
let pos = text.match(
regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*\?[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*\:[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+"),
)
if (pos != none) {
text = text.replace(
pos.text,
" if (" + pos.text.replace("?", "){ ").replace(":", " } else { ") + " }",
)
} else { break }
}
// ⊕ Approach
while true {
let pos = text.match(regex("([(]+.*[)]|[a-zA-Z](_\d+)?)+[ ]*⊕[ ]*([(]+.*[)]|[a-zA-Z](_\d+)?)+"))
if (pos != none) {
text = text.replace(pos.text, "not (" + pos.text.replace("⊕", "==", count: 1) + ")")
} else { break }
}
return text
}
/// Extract all propositions
let _extract(..obj) = {
let single_letters = ()
for operation in obj.pos() {
let string_operation = _strstack(operation).split(" ")
for substring in string_operation {
let match = substring.match(regex("[a-zA-Z](_\d+)?"))
if match != none and (match.text not in single_letters) {
single_letters.push(match.text)
}
}
}
return single_letters
}
let _gen-nb-left-empty-truth(reverse: false, sc: symboles-conv, bL, row) = {
let rng = range(1, bL + 1)
for col in if reverse { rng } else { rng.rev() } {
let raised = calc.pow(2, col - 1)
let vl = if reverse { (L - 1) - row } else { row }
let value = not calc.even(calc.floor(vl / raised))
([#sc(value)],)
}
}
let _mathed(obj) = eval(obj, mode: "math")
let truth-table-empty(reverse: false, order: "default", sc: symboles-conv, info, data) = {
let base = _extract(..info)
if order.contains("alphabetical") {
base = base.sorted(
key: a => {
let val = a.split("_")
let m = (
for i in range(val.len()) {
if i == 0 { (val.at(i).to-unicode() * 1000,) } else { (int(val.at(i)),) }
}
)
m.reduce((a, b) => a + b)
},
)
}
if order.contains("reverse") {
base = base.rev()
}
let bL = base.len()
let L = calc.pow(2, bL)
let iL = info.len()
let nbBox = (iL + bL) * calc.pow(2, bL)
if data.len() < nbBox {
for _ in range(nbBox - data.len()) {
data.push([])
}
}
table(
columns: iL + bL,
..base.map(_mathed),
..info,
..(
for row in range(L) {
(.._gen-nb-left-empty-truth(reverse: reverse, sc: sc, bL, row),)
(
..data.slice(row * iL, count: iL).map(a => [#if type(a) != "content" { sc(a) } else { a }]),
)
}
),
)
}
let _first-elem-karnaugh = (0, 0, 1, 1)
let _second-elem-karnaugh = (0, 1, 1, 0)
let _nb-cols-karnaugh = (0, 3, 3, 5, 5)
let _concat-name-karnaugh(list: ()) = {
let bL = list.len()
let name = list.at(0)
if (bL == 2) { return name + "/" + list.at(1) } else if (bL == 3) {
return name + "/" + list.at(1) + list.at(2)
} else { return name + list.at(1) + "/" + list.at(2) + list.at(3) }
}
let _concat-object-karnaugh(reverse: false, sc: symboles-conv, i: 0, nb: false) = {
let m = [#sc(_first-elem-karnaugh.at(if reverse { 3 - i } else { i }) == 1)]
let n = [#sc(_second-elem-karnaugh.at(if reverse { 3 - i } else { i }) == 1)]
n
if nb {
m
}
}
let karnaugh-empty(reverse: false, order: "default", sc: symboles-conv, info, data) = {
let base = _extract(..info)
if order.contains("alphabetical") {
base = base.sorted(
key: a => {
let val = a.split("_")
let m = (
for i in range(val.len()) {
if i == 0 { (val.at(i).to-unicode() * 1000,) } else { (int(val.at(i)),) }
}
)
m.reduce((a, b) => a + b)
},
)
}
if order.contains("reverse") {
base = base.rev()
}
let bL = base.len()
assert(
bL >= 2,
message: "You need more than 1 variable and less or equal 4 variables to use a karnaugh table.",
)
let L = int(calc.pow(2, bL - 1) / 2)
if L == 1 { L = 2 } // hack for now
let nbBox = calc.pow(2, bL)
let columns = _nb-cols-karnaugh.at(bL)
let name = _concat-name-karnaugh(list: base)
if data.len() < nbBox {
for _ in range(nbBox - data.len()) {
data.push([ ])
}
}
table(
columns: columns,
name,
..for col in range(columns - 1) {
let m = _concat-object-karnaugh(reverse: reverse, sc: sc, i: col, nb: bL >= 3)
(m,)
},
..for row in range(L) {
(
..(
[#_concat-object-karnaugh(reverse: reverse, sc: sc, i: row, nb: bL >= 4)],
),
)
(
..data
.slice(row * (columns - 1), count: columns - 1)
.map(a => [#if type(a) != "content" { sc(a) } else { a }]),
)
},
)
}
/*let karnaugh(sc: symboles-conv, ..info) = {
let objInfo = info.pos()
let base = _extract(..objInfo)
let data = ()
let bL = base.len()
assert(
bL >= 2,
message: "You need more than 1 variable and max 4 variables to use a karnaugh table.",
);
let L = int(calc.pow(2, bL - 1) / 2);
if L == 1 { L = 2 } // hack for now
let nbBox = calc.pow(2, bL)
let columns = _nb-cols-karnaugh.at(bL)
let transform = objInfo.map(_strstack).map(a => "(" + a + ")")
let joined = if transform.at(0).contains("∧") {
transform.join("∨")
} else {
transform.join("∧")
}
let elems2 = ((false, false), (false, true), (true, false), (true, true)).map(a => a.map(repr))
let elem3 = {
let o = elems2
(o.map(a => ("false", ..a)) + o.map(a => ("true", ..a)))
}
let zeros = if (base.len() == 2) { elem2 } else if (base.len() == 3) { elem3 } else {}
for i in range(nbBox) {
let x = zeros.at(i)
repr(x)
/*let repp = _replaces(base, x, joined)
data.push(eval(repp))*/
//data.push(false)
}
//karnaugh-empty(sc: sc, objInfo, data)
}*/
let truth-table(reverse: false, sc: symboles-conv, order: "default", ..inf) = {
let info = inf.pos()
let base = _extract(..info)
let bL = base.len()
let L = calc.pow(2, bL)
let iL = info.len()
let nbBox = (iL + bL) * calc.pow(2, bL)
let transform = info.map(_strstack)
if order.contains("alphabetical") {
base = base.sorted(
key: a => {
let val = a.split("_")
let m = (
for i in range(val.len()) {
if i == 0 { (val.at(i).to-unicode() * 1000,) } else { (int(val.at(i)),) }
}
)
m.reduce((a, b) => a + b)
},
)
}
if order.contains("reverse") {
base = base.rev()
}
table(columns: iL + bL, ..base.map(_mathed), ..info, ..(
for row in range(L) {
let list = ()
let rng = range(1, bL + 1)
(
..for col in rng {
// The left side
let raised = calc.pow(2, col - 1)
let vl = if reverse { (L - 1) - row } else { row }
let value = not calc.even(calc.floor(vl / raised))
list.push(value)
([#sc(value)],)
},
)
let x = list.map(repr)
if x != none and x.len() != 0 {
(
..for col in range(iL) {
// The right side
let m = _replaces(base, x, transform.at(col))
// ([#m],) // Debug
let k = eval(m)
([#sc(k)],)
},
)
}
}
))
}
let generate-table = truth-table // DEPRECATED
let generate-empty = truth-table-empty // DEPRECATED
// For simplified writing
let NAND = "↑"
let NOR = "↓"
let nand = "↑"
let nor = "↓"
(
generate-empty,
generate-table,
truth-table,
truth-table-empty,
NAND,
NOR,
nand,
nor,
karnaugh-empty,
//karnaugh,
)
}