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/target
Cargo.lock
/pkg
package-lock.json
/www/pkg
/www/package-lock.json
/www/node_modules
/www/dist

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[package]
name = "integral_site"
version = "0.1.0"
edition = "2021"
[lib]
crate-type=["cdylib"]
[dependencies]
wasm-bindgen = "0.2.79"
plotters = "0.3.1"
plotters-canvas = "0.3.0"
wee_alloc = "0.4.5"
web-sys = { version = "0.3.56", features = ["HtmlCanvasElement"] }
meval = "0.2"

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The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".
You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<https://www.gnu.org/licenses/>.
The GNU General Public License does not permit incorporating your program
into proprietary programs. If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library. If this is what you want to do, use the GNU Lesser General
Public License instead of this License. But first, please read
<https://www.gnu.org/licenses/why-not-lgpl.html>.

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use crate::DrawResult;
use plotters::prelude::*;
use plotters_canvas::CanvasBackend;
use web_sys::HtmlCanvasElement;
use meval::Expr;
/// Draw power function f(x) = x^power.
pub fn draw(element: HtmlCanvasElement, func_str: &str, minX: f32, maxX: f32, minY: f32, maxY: f32, num_interval: usize, resolution: i32) -> DrawResult<(impl Fn((i32, i32))-> Option<(f32, f32)>, f32)> {
let expr: Expr = func_str.parse().unwrap();
let func = expr.bind("x").unwrap();
let absrange = (maxX-minX).abs();
let step = absrange/(num_interval as f32);
let backend = CanvasBackend::with_canvas_object(element).unwrap();
let root = backend.into_drawing_area();
let font: FontDesc = ("sans-serif", 20.0).into();
root.fill(&WHITE)?;
let mut chart = ChartBuilder::on(&root)
.margin(20 as f32)
.caption(format!("y={}", func_str), font)
.x_label_area_size(30 as f32)
.y_label_area_size(30 as f32)
.build_cartesian_2d(minX..maxX, minY..maxY)?;
chart.configure_mesh().x_labels(3).y_labels(3).draw()?;
let data = (1..=resolution)
.map(|x| (((x as f32/resolution as f32))*(&absrange))+&minX)
.map(|x| (x, func(x as f64) as f32))
.filter(|(_,y)| &minY <= y && y <= &maxY);
chart.draw_series(LineSeries::new(data, &RED))?;
let (data2, area) = integral_rectangles(minX, minY, maxY, absrange, step, num_interval, &func); // Get rectangle coordinates and the total area
// Draw rectangles
chart.draw_series(data2.iter().map(|(x1, x2, y)| Rectangle::new([(*x2, *y), (*x1, 0.0)], &BLUE)))?;
root.present()?;
let output = chart.into_coord_trans();
return Ok(((output), area));
}
// Creates and does the math for creating all the rectangles under the graph
#[inline(always)]
fn integral_rectangles(minX: f32, minY: f32, maxY: f32, absrange: f32, step: f32, num_interval: usize, func: &dyn Fn(f64) -> f64) -> (Vec<(f32, f32, f32)>, f32) {
let mut area: f32 = 0.0; // sum of all rectangles' areas
let mut tmp1: f32; // Top left Y value that's tested
let mut tmp2: f32; // Top right Y value that's tested
let mut x2: f32; // X value of the right side of the rectangle
let mut y: f32; // Y value of the top of the rectangle
let mut x: f32; // X value of the left side of the rectangle
let mut data2: Vec<(f32, f32, f32)> = Vec::new();
for e in 0..num_interval {
x = ((e as f32)*step)+minX;
if x > 0.0 {
x2 = x+step;
} else {
x2 = x-step;
}
tmp1 = func(x as f64) as f32;
tmp2 = func(x2 as f64) as f32;
if tmp2.abs() > tmp1.abs() {
y = tmp1;
} else {
y = tmp2;
}
// Add current rectangle's area to the total
if !y.is_nan() {
area += y*step;
data2.push((x, x2, y));
}
}
return (data2, area);
}

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use wasm_bindgen::prelude::*;
use web_sys::HtmlCanvasElement;
mod func_plot;
use meval::Expr;
#[global_allocator]
static ALLOC: wee_alloc::WeeAlloc = wee_alloc::WeeAlloc::INIT;
pub type DrawResult<T> = Result<T, Box<dyn std::error::Error>>;
#[wasm_bindgen]
pub struct Chart {
convert: Box<dyn Fn((i32, i32)) -> Option<(f32, f32)>>,
area: f32
}
/// Result of screen to chart coordinates conversion.
#[wasm_bindgen]
pub struct Point {
pub x: f32,
pub y: f32,
}
#[wasm_bindgen]
impl Chart {
pub fn draw(canvas: HtmlCanvasElement, func: &str, minX: f32, maxX: f32, minY: f32, maxY: f32, num_interval: usize, resolution: i32) -> Result<Chart, JsValue> {
let output = func_plot::draw(canvas, func, minX, maxX, minY, maxY, num_interval, resolution).map_err(|err| err.to_string())?;
let map_coord = output.0;
Ok(Chart {
convert: Box::new(move |coord| map_coord(coord).map(|(x, y)| (x.into(), y.into()))),
area: output.1,
})
}
pub fn get_area(&self) -> Result<f32, JsValue> {
return Ok(self.area);
}
// Does actual calculation of antiderivative
// pub fn actual_area(power: f32, minX: f32, maxX: f32) -> Result<f32, JsValue> {
// let newpower = power + 1.0;
// return Ok((maxX.powf(newpower as f32)/newpower) - (minX.powf(newpower as f32)/newpower));
// }
pub fn coord(&self, x: i32, y: i32) -> Option<Point> {
(self.convert)((x, y)).map(|(x, y)| Point { x, y })
}
}

23
start-server.sh Executable file
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#!/bin/bash
set -e
CONFIG=release
mkdir -p www/pkg
rustup target add wasm32-unknown-unknown
if [ -z "$(cargo install --list | grep wasm-pack)" ]
then
cargo install wasm-pack
fi
if [ "${CONFIG}" = "release" ]
then
wasm-pack build
else
wasm-pack build --release
fi
cd www
npm install
npm start

20
www/bootstrap.js vendored Normal file
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init();
async function init() {
if (typeof process == "object") {
const [{Chart}, {main, setup}] = await Promise.all([
import("integral_site"),
import("./index.js"),
]);
setup(Chart);
main();
} else {
const [{Chart, default: init}, {main, setup}] = await Promise.all([
import("../pkg/integral_site.js"),
import("./index.js"),
]);
await init();
setup(Chart);
main();
}
}

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Integral Demonstration</title>
<link rel="stylesheet" href="./style.css">
</head>
<body>
<noscript>Please enable Javascript, this page uses both WebAssembly and Javascript to run.</noscript>
<script src="./bootstrap.js"></script>
<main>
<h1>Integral Demonstration</h1>
<div id="coord"></div>
<canvas id="canvas" width="600" height="400"></canvas>
<div id="status">Loading WebAssembly...</div>
<div id="control">
<label for="math_function">y=</label> <input type="string" id="math_function" value="x^2">
<p></p>
<label for="minX">MinX: </label> <input type="number" id="minX" value="-10">
<p></p>
<label for="maxX">MaxX: </label> <input type="number" id="maxX" value="10">
<p></p>
<label for="minY">MinY: </label> <input type="number" id="minY" value="-10">
<p></p>
<label for="maxY">MaxY: </label> <input type="number" id="maxY" value="10">
<p></p>
<label for="num_interval">Interval: </label> <input type="number" id="num_interval" value="100" min="0">
<p></p>
<label for="resolution">Number of Points </label> <input type="number" id="resolution" value="10000" min="0">
<p></p>
</div>
<div id="area-msg">Area:</div>
</main>
</body>
</html>
<h3 id="Supported%20Expressions:">Supported Expressions:</h3>
<ul>
<li><p><code>sqrt</code>, <code>abs</code></p></li>
<li><p><code>exp</code>, <code>ln</code>, <code>log10</code></p></li>
<li><p><code>sin</code>, <code>cos</code>, <code>tan</code>, <code>asin</code>, <code>acos</code>, <code>atan</code>, <code>atan2</code></p></li>
<li><p><code>sinh</code>, <code>cosh</code>, <code>tanh</code>, <code>asinh</code>, <code>acosh</code>, <code>atanh</code></p></li>
<li><p><code>floor</code>, <code>ceil</code>, <code>round</code></p></li>

84
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// If you only use `npm` you can simply
// import { Chart } from "wasm-demo" and remove `setup` call from `bootstrap.js`.
class Chart {}
const canvas = document.getElementById("canvas");
const coord = document.getElementById("coord");
const math_function = document.getElementById("math_function");
const status = document.getElementById("status");
const minX = document.getElementById("minX");
const maxX = document.getElementById("maxX");
const minY = document.getElementById("minY");
const maxY = document.getElementById("maxY");
const num_interval = document.getElementById("num_interval");
const area_msg = document.getElementById("area-msg");
const resolution = document.getElementById("resolution");
let chart = null;
/** Main entry point */
export function main() {
setupUI();
setupCanvas();
}
/** This function is used in `bootstrap.js` to setup imports. */
export function setup(WasmChart) {
Chart = WasmChart;
}
/** Add event listeners. */
function setupUI() {
status.innerText = "WebAssembly loaded!";
math_function.addEventListener("change", updatePlot);
minX.addEventListener("input", updatePlot);
maxX.addEventListener("input", updatePlot);
minY.addEventListener("input", updatePlot);
maxY.addEventListener("input", updatePlot);
num_interval.addEventListener("input", updatePlot);
resolution.addEventListener("input", updatePlot);
window.addEventListener("resize", setupCanvas);
window.addEventListener("mousemove", onMouseMove);
}
function setupCanvas() {
const aspectRatio = canvas.width / canvas.height;
const size = canvas.parentNode.offsetWidth * 0.8;
canvas.style.width = size + "px";
canvas.style.height = size / aspectRatio + "px";
canvas.width = size;
canvas.height = size / aspectRatio;
updatePlot();
}
function onMouseMove(event) {
if (chart) {
var text = "Mouse is outside Chart.";
if(event.target == canvas) {
let actualRect = canvas.getBoundingClientRect();
let logicX = event.offsetX * canvas.width / actualRect.width;
let logicY = event.offsetY * canvas.height / actualRect.height;
const point = chart.coord(logicX, logicY);
text = (point)
? `(${point.x.toFixed(3)}, ${point.y.toFixed(3)})`
: text;
}
coord.innerText = text;
}
}
function updatePlot() {
status.innerText = `Rendering y=${math_function.value}...`;
chart = null;
const start = performance.now();
chart = Chart.draw(canvas, math_function.value, Number(minX.value), Number(maxX.value), Number(minY.value), Number(maxY.value), Number(num_interval.value), Number(resolution.value));
const end = performance.now();
area_msg.innerText = `Estimated Area: ${chart.get_area()}`;
status.innerText = `Rendered ${math_function.innerText} in ${Math.ceil(end - start)}ms`;
}

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www/package.json Normal file
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{
"name": "integral_site",
"version": "0.1.0",
"main": "index.js",
"scripts": {
"build": "webpack --config webpack.config.js",
"start": "webpack-dev-server"
},
"dependencies": {
"integral_site": "file:../pkg"
},
"devDependencies": {
"webpack": "^4.43.0",
"webpack-cli": "^3.3.11",
"webpack-dev-server": "^3.10.3",
"copy-webpack-plugin": "^5.0.0"
}
}

55
www/style.css Normal file
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html, body, main {
width: 100%;
margin: 0;
padding: 0;
}
body {
margin: auto;
max-width: 800px;
display: flex;
flex-direction: column;
}
@media (max-width: 800px) {
body {
padding: 10px;
box-sizing: border-box;
}
}
main {
display: flex;
flex-direction: column;
align-items: center;
}
#coord, #status {
color: grey;
font-size: 10px;
height: 15px
}
#control {
margin-top: 1em;
}
#control label {
font-weight: bold;
margin-right: 1em;
}
#control select {
padding: 0.25em 0.5em;
}
footer {
margin-top: 2em;
font-size: 12px;
text-align: center;
}
.hide {
visibility: hidden;
height: 0px;
}

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const CopyWebpackPlugin = require("copy-webpack-plugin");
const path = require('path');
module.exports = {
entry: "./bootstrap.js",
output: {
path: path.resolve(__dirname, "dist"),
filename: "bootstrap.js",
},
mode: "development",
plugins: [
new CopyWebpackPlugin(['index.html'])
],
};