jdmichaud

Euler's and complex numbers

The purpose of this article is to be an informal reminder on how do we get from $1+1=2$ to $i^i=e^{-\frac{\pi}{2}}$ .

Trigonometric identities

Tools

Install the emscripten toolchain. See instructions here

How does this works?

We will compile a simple c program using emscripten which will generate WebAssembly code. Then, in a simple web page, we will load the resulting wasm generated file and pass it to the WebAssembly facility now found in any decent browser. Simple as that!

	// npm install express highlight.js marked morgan mustache
	const fs = require('fs');
	const express = require('express');
	const morgan = require('morgan');

	const marked = require('marked');
	const highlight = require('highlight.js');
	const Mustache = require('mustache');

	const config = {

	<!DOCTYPE html>
	<html>
	<head>
	<title>Least Squares</title>
	<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/4.4.2/math.js"></script>
	<script src="main.js"></script>
	<style>
	.graph {
	border: solid 1px black;
	display: block;

	<!DOCTYPE html>
	<html>
	<head>
	<title>Code Mirror Tests</title>
	<link rel="stylesheet" href="dist/bundle.css">
	<script src="dist/main.js"></script>
	<script>
	window.onload = () => {
	createEditor(document.getElementById('editor'));
	}

	import sys

	# How to run:
	# cat << EOF \| python ks.py
	# 1
	# 10
	# 2 6 7 1 5
	# 1 1 1 1 1
	# EOF
	# [(2, 1), (1, 1), (5, 1)]

	<!DOCTYPE html>
	<html>
	<head>
	<meta charset=UTF-8>
	<title>Canvas interpolation test</title>
	<script>
	function main() {
	const canvas = document.getElementById('canvas');
	canvas.width = 2;
	canvas.height = 2;

	gnuplot -e "set term png; f(x)=1+4x-x*2; plot f(x)" \| imgcat
	gnuplot -e "set term png; set output 'plot.png'; f(x)=1+4x-x*2; plot f(x)"

	import math
	import numpy
	import imageio
	from matplotlib import pyplot


	def resize(img, size):
	(width, height) = size
	resized = []
	wratio = len(img[0]) / width

	#include <stdio.h>
	#include <unistd.h>
	#include <stdlib.h>
	#include <sys/mman.h>

	#include <sys/types.h>
	#include <sys/stat.h>
	#include <fcntl.h>

	int main(int argc, char **argv) {