From cb80330753bde1b5d327c4989d04c680966791f2 Mon Sep 17 00:00:00 2001 From: Tijme <68817281+7ijme@users.noreply.github.com> Date: Tue, 11 Feb 2025 15:46:14 +0100 Subject: [PATCH] eqalc:0.1.1 (#1700) --- packages/preview/eqalc/0.1.1/CHANGELOG.md | 21 ++++ packages/preview/eqalc/0.1.1/LICENSE | 21 ++++ packages/preview/eqalc/0.1.1/README.md | 79 +++++++++++++ packages/preview/eqalc/0.1.1/docs/manual.pdf | Bin 0 -> 48473 bytes packages/preview/eqalc/0.1.1/lib.typ | 110 +++++++++++++++++ packages/preview/eqalc/0.1.1/typst.toml | 9 ++ packages/preview/eqalc/0.1.1/util.typ | 118 +++++++++++++++++++ 7 files changed, 358 insertions(+) create mode 100644 packages/preview/eqalc/0.1.1/CHANGELOG.md create mode 100644 packages/preview/eqalc/0.1.1/LICENSE create mode 100644 packages/preview/eqalc/0.1.1/README.md create mode 100644 packages/preview/eqalc/0.1.1/docs/manual.pdf create mode 100644 packages/preview/eqalc/0.1.1/lib.typ create mode 100644 packages/preview/eqalc/0.1.1/typst.toml create mode 100644 packages/preview/eqalc/0.1.1/util.typ diff --git a/packages/preview/eqalc/0.1.1/CHANGELOG.md b/packages/preview/eqalc/0.1.1/CHANGELOG.md new file mode 100644 index 000000000..b5f8a01da --- /dev/null +++ b/packages/preview/eqalc/0.1.1/CHANGELOG.md @@ -0,0 +1,21 @@ +# v0.1.1 +features: + + - added ability to use labels + +bug fixes: + + - the variable will now be in math mode in v13 + - expressions (without a left side) would cause an error + +# v0.1.0 +features: + + - e, pi and tau work now + - sin, cos, etc. works now + - fixed a bug where top part of exponent couldn't be a sequence + - cleaned up some code + - dynamic table naming + - multiple variable support + - made the docs readable + - added math-to-data diff --git a/packages/preview/eqalc/0.1.1/LICENSE b/packages/preview/eqalc/0.1.1/LICENSE new file mode 100644 index 000000000..d2e839f43 --- /dev/null +++ b/packages/preview/eqalc/0.1.1/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2025 Tijme + +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. diff --git a/packages/preview/eqalc/0.1.1/README.md b/packages/preview/eqalc/0.1.1/README.md new file mode 100644 index 000000000..426cd2f48 --- /dev/null +++ b/packages/preview/eqalc/0.1.1/README.md @@ -0,0 +1,79 @@ +# Eqalc + +Convert your [Typst](https://typst.app/home) math equations to functions in order to graph or plot them. +So you only have to write your equation out ONCE! + +[![MIT License](https://img.shields.io/badge/license-MIT-blue)](https://github.com/7ijme/eqalc/blob/main/LICENSE) + +## Installing + +Install eqalc by cloning it and then importing like this: + +```typ +#import "@preview/eqalc:0.1.1": math-to-func, math-to-code, math-to-table + +#let f = $g(t)=2t dot sqrt(e^t)+ln(t)+2pi$ +#f\ +#math-to-code(f) +#math-to-table(f, min: 1, max: 5, step: 1) + +// `math-to-func` will return a function that can be used to map over values + +// You can also use labels: +$ g(t) = 2t dot sqrt(e^t) + ln(t) + 2pi $ +#context math-to-code() +#context math-to-table(, min: 1, max: 5, step: 1) +``` + +![image](https://github.com/user-attachments/assets/0cde46d3-e9d6-42f6-a536-f681f6b9091c) + +Available functions at the moment: + +- `math-to-func` +- `math-to-code` +- `math-to-table` +- `math-to-data` + +More on these functions in the [manual](https://github.com/7ijme/eqalc/blob/main/docs/manual.pdf). + +## How it works + +Eqalc parses your equations by recursively going through the math expressions. + +```typ +// Let's take #f from the example above +#repr(f) +// This will return a tree representation of the equation +equation( + block: false, + body: sequence( + sequence([g], lr(body: sequence([(], [t], [)]))), + [=], + [2], + [t], + [ ], + [⋅], + [ ], + root(radicand: attach(base: [e], t: [t])), + [+], + sequence( + op(text: [ln], limits: false), + lr(body: sequence([(], [t], [)])), + ), + [+], + [2], + [π], + ), +) + +#math-to-str(f) +// This will return the equation as a string +// `2*t*calc.root(calc.pow(calc.e, t), 2)+calc.ln(t)+2*calc.pi` +``` + +If the given math expression is an equation, the left hand side will be turned into the name of the function, and the right hand side will be the body of the function. + +Only one variable is allowed in the right hand side of the equation. + +## Contributing +Any contributions are welcome! 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zo7-YUAVbKOG6ZyRys1nCfk18L2gq~`ZL2rc115jS47;gJ1SB`#UWSH@nVagtf!%Ct ze;|}`8*U&lPZ=K^nafE{2HuncCb=%-W;c}F1t_Rt4x3(2U zLP@W;)I&k;99zmT+s8!-LwfS&dKe6JCBoJ+DEw|~*|zzN5EF)sF`Mckk?F zzc#l83wY~%L5hfOThk!475aQ_X^Vzb&n;!(c8slMaN%uo4dj%EOvanr!a+vBZDmNv zZDvb7(QUE>2}f;x6v61qLR1O6WvZfVAtM;8xn+LZ)=O*wq`)n zjpKTIVjY}qJV|idF(Dm?KpWh40PLr<-Q2vvZ@{}X(}%LFtsA=-0PokMJi7_+zfuDD d*#Gq_oJ{~|0-oNu?FSNk8sH?{+zJ}U{s(FY calc.pow(x,2))`. +/// -> function +#let math-to-func( + /// The math expression. + /// -> content | label + math, +) = { + let string = math-to-str(math) + let var = get-variable(string) + x => eval("let " + var + "= " + str(x) + "; " + string) +} + +/// Math to any data you might need. +/// +/// Example: +/// `#math-to-data($f(x)=x^2$)` will output: +/// ```typ +/// #( +/// func: (x => calc.pow(x,2)), +/// str: "calc.pow(x,2)", +/// x: "x", +/// x-math: $x$, +/// fx: "f(x)", +/// fx-math: $f(x)$, +///)``` +/// -> (func: function, str: string, x: string, x-math: content, fx: string, fx-math: content) +#let math-to-data( + /// The math expression. + /// -> content | label + math, +) = { + let f = math-to-func(math) + let str = math-to-str(math) + let var = get-variable(str) + let fx = math-to-str(math, get-first-part: true) + ( + func: f, + str: str, + x: var, + x-math: eval(var, mode: "math"), + fx: fx, + fx-math: eval(fx, mode: "math"), + ) +} + +/// Creates a table of function values. +/// +/// Example: +/// `#math-to-table($x^2$, min: 1, max: 5, step: 1)` will output: +/// ```table +/// x | 1 | 2 | 3 | 4 | 5 | +/// -------------------------- +/// f(x) | 1 | 4 | 9 | 16| 25| +/// ``` +/// But in an actual table. +/// -> content +#let math-to-table( + /// The function to evaluate. + /// -> content | label + math, + /// The minimum value of the domain. + /// -> integer + min: 0, + /// The maximum value of the domain. + /// -> integer + max: 5, + /// The step size. + /// -> integer + step: 1, + /// The integer of decimal places to round to. + /// -> integer + round: 2, + /// The name of the function. Defaults to the first part of the math expression. + /// -> content + name: none, +) = { + assert(min < max, message: "min must be less than max") + assert(step > 0, message: "step must be greater than 0") + let (x-math, fx-math, func) = math-to-data(math) + let name = if name != none { name } else { fx-math } + table( + columns: calc.ceil((max - min) / step) + 2, + x-math, ..range(min, max + step, step: step).map(x => [$#x$]), + name, ..range( + min, + max + step, + step: step, + ).map(x => [#calc.round(func(x), digits: round)]), + ) +} + +/// Converts a math expression to code. +/// +/// Example: +/// `#math-to-code($x^2$)` will output `calc.pow(x,2)`. +/// -> content +#let math-to-code( + /// The math expression. + /// -> content | label + math, +) = { + let f = math-to-str(math) + raw(lang: "typst", f) +} diff --git a/packages/preview/eqalc/0.1.1/typst.toml b/packages/preview/eqalc/0.1.1/typst.toml new file mode 100644 index 000000000..13f987389 --- /dev/null +++ b/packages/preview/eqalc/0.1.1/typst.toml @@ -0,0 +1,9 @@ +[package] +name = "eqalc" +version = "0.1.1" +entrypoint = "lib.typ" +authors = ["Tijme"] +license = "MIT" +description = "Convert math equations to functions." +repository = "https://github.com/7ijme/eqalc" +categories = ["utility", "visualization"] diff --git a/packages/preview/eqalc/0.1.1/util.typ b/packages/preview/eqalc/0.1.1/util.typ new file mode 100644 index 000000000..fde483bcd --- /dev/null +++ b/packages/preview/eqalc/0.1.1/util.typ @@ -0,0 +1,118 @@ +/// Converts a label to a math expression. +/// -> content +#let label-to-math( + /// A label representing a math expression. + /// -> label + label, +) = { + query(label).first() +} + +/// Converts math equations to strings. +/// -> string +#let math-to-str( + /// The math expression. + /// -> content | label + eq, + /// Get the part before the equals sign. This is used to get the function name. + /// -> boolean + get-first-part: false, + /// The depth of the recursion. This is used for debugging. + /// -> integer + depth: 0, +) = { + let map-math(n) = { + // Operators like sin, cos, etc. + if n.func() == math.op { + "calc." + n.fields().text.text + // Parentheses + } else if n.func() == math.lr { + math-to-str(n.body, depth: depth + 1) + // Powers + } else if n.has("base") and n.has("t") { + "calc.pow(" + math-to-str(n.base) + ", " + math-to-str(n.t) + ")" + // Roots + } else if n.func() == math.root { + ( + "calc.root(" + + math-to-str(n.radicand, depth: depth + 1) + + ", " + + n.at("index", default: "2") + + ")" + ) + // Fractions + } else if n.func() == math.frac { + ( + "(" + + math-to-str(n.num, depth: depth + 1) + + ")/(" + + math-to-str(n.denom, depth: depth + 1) + + ")" + ) + // Default case + } else if n == [ ] { } else if n.has("text") { + if n.text == "e" { + "calc.e" + } else if n.text == $pi$.body.text { + "calc.pi" + } else if n.text == $tau$.body.text { + "calc.tau" + } else { + n.text + } + // This is still a sequence. + } else { + math-to-str(n, depth: depth + 1) + } + } + + if type(eq) == "label" { + eq = label-to-math(eq) + } + + if not type(eq) == "string" and eq.has("body") { + eq = eq.body + } + // Adding `[]` to make it a sequence if it isn't already. + let string = (eq + []) + .fields() + .children + .map(map-math) + .join() + .replace( + regex("(\d)\s*([a-zA-Z]\b|calc|\()"), + ((captures,)) => captures.first() + "*" + captures.last(), + ) + .replace(math.dot, "*") + + if depth == 0 { + let reg = if get-first-part { + if string.contains("=") { + regex("=.+") + } else { + regex(".+") + } + } else { + regex(".+=") + } + string.replace(reg, "") + } else { + string + } +} + +/// Gets the main variable from a math expression. +/// -> string +#let get-variable( + /// The math expression. + /// -> string + math-str, +) = { + let reg = regex("\b([A-Za-z--e])\b") + let match = math-str.match(reg) + if match != none { + match.text + } else { + "x" + } +}