Why try and learn math after useful arithmatic? Because you can use trig functions make weed leaf shapes.
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August 19, 2016 02:08
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Higher mathmatics
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<!DOCTYPE html> | |
<head> | |
<meta charset="utf-8"> | |
<script src="https://d3js.org/d3.v4.min.js"></script> | |
<style> | |
body { margin:0;position:fixed;top:0;right:0;bottom:0;left:0; background:black} | |
svg { | |
background: black; | |
} | |
.graphline { | |
stroke-dasharray: 101; | |
animation: dash 5s linear forwards; | |
} | |
@keyframes dash { | |
to { | |
stroke-dashoffset: 1000; | |
} | |
} | |
</style> | |
</head> | |
<body> | |
<script> | |
// Feel free to change or delete any of the code you see in this editor! | |
var width = 500; | |
var height = 500; | |
var margin = { | |
top: 25, | |
left:25 | |
} | |
var svg = d3.select("body").append("svg") | |
.attr("width", width) | |
.attr("height", height) | |
.append('g') | |
.attr('transform', 'translate(25,25)') | |
var scaleWidth = (width - 50) | |
var scale = d3.scaleLinear() | |
.domain([-2,2]) | |
.range([0, scaleWidth ]) | |
var yscale = d3.scaleLinear() | |
.domain([2,-2]) | |
.range([scaleWidth, 0 ]) | |
var horAxis = d3.axisBottom(scale); | |
var posxtrans = (width-50)/2.0 ; | |
// console.log(posxtrans) | |
svg.append("g") | |
.call(horAxis) | |
.attr("class", "horizonaxis") | |
.attr("transform", "translate(" + 0 + "," + posxtrans + ")" ) | |
var vertAxis = d3.axisLeft(scale); | |
svg.append("g") | |
.call(vertAxis) | |
.attr("class", "vertaxis") | |
.attr("transform", "translate(" + posxtrans+ "," + 0 + ")" ) | |
var angles = [ | |
{ rad: 0, label: "0"} , | |
{ rad: Math.PI/6.0, label: "pi/6" } , | |
{rad: (Math.PI/4.0), label: "pi/4"} , | |
{rad: (Math.PI/3.0), label:"pi/3" }, | |
{ rad: (Math.PI/2.0), label:"pi/2" }, | |
{ rad: (4*Math.PI)/6, label:"2pi/3"}, | |
{ rad: (3*Math.PI)/4, label:"3pi/4"}, | |
{ rad: (5*Math.PI)/6, label:"5pi/6"}, | |
{ rad: Math.PI, label:"pi" }, | |
{ rad: (7*Math.PI)/6, label:"7pi/6"}, | |
{ rad: (5*Math.PI)/4, label:"5pi/4"}, | |
{ rad: (8*Math.PI)/6, label:"4pi/3"}, | |
{ rad: (9*Math.PI)/6, label:"3pi/2"}, | |
{ rad: (7*Math.PI)/4, label:"7pi/4"}, | |
{ rad: (10*Math.PI)/6, label:"5pi/3"}, | |
{ rad: (11*Math.PI)/6, label:"11pi/6"}, | |
{ rad: (12*Math.PI)/6, label:"2pi"}, | |
]; | |
var anglepoints = []; | |
for ( i of anglepoints){ | |
console.log(i) | |
anglepoints.push(makeAngles(i.rad)) | |
} | |
var dotsG = svg.append('g').attr('class', 'dotsGroup') | |
// .attr('transform', 'translate(' + 0 + "," + 0 + ')'); | |
yscale = d3.scaleLinear() | |
.domain([2,-2]) | |
.range([0, scaleWidth ]) | |
dotsG.selectAll('.dots') | |
.data(angles) | |
.enter() | |
.append('circle') | |
.attr('class', 'dots') | |
.attr('r', 1) | |
.attr('cx', function(d,i){ | |
return scale(makeAngles(d.rad)[0]) | |
}) | |
.attr('cy', function(d,i){ | |
// console.log(d, i) | |
// console.log(scale(makeAngles(d.rad)[0])) | |
// console.log(scale(makeAngles(d.rad)[1])) | |
return yscale(makeAngles(d.rad)[1]) | |
}) | |
.attr('radi', function(d, i){ | |
return d.rad | |
}) | |
.attr('id', function(d,i){ | |
// console.log(this); | |
return 'dot' + i | |
}) | |
dotsG.selectAll('.majorAngles') | |
.data(angles) | |
.enter() | |
.append('text') | |
.attr('class', 'majorAngles') | |
.attr('transform', function(d,i){ | |
var xtran = scale(makeAngles(d.rad)[0]) | |
var ytran = yscale(makeAngles(d.rad)[1]) | |
return "translate("+ xtran +"," + ytran +")" | |
}) | |
.text(function(d){ | |
console.log('addin text to', d) | |
return d.label | |
}) | |
function makeAngles(ang){ | |
var xang = Math.cos(ang); | |
var yang = Math.sin(ang); | |
// console.log('xangle is', xang) | |
// because 2 NaN s are not equal for whatever reason | |
if(xang !== xang ){ | |
console.log('x is not a number', xang) | |
xang = 0; | |
} | |
if( (yang !== yang)){ | |
yang = 0; | |
} | |
return [xang, yang]; | |
} | |
// going to try to graph sin theta | |
var sinlineg = svg.append('g').attr('class', 'sinlinegroup') | |
var sinpoints = []; | |
for ( o = 0; o < 1000; o++){ | |
var theta = (2 * Math.PI / 1000) * o; | |
// function i'm graphing var radius = Math.pow(Math.cos(theta * 19 ), 1) + Math.sin(theta); | |
var radius = Math.pow(Math.cos(theta * 20 ), 1) + Math.sin(theta); | |
if(radius !== radius){ | |
radius = 0; | |
} | |
var xy = findcoor(theta, radius); | |
sinpoints.push({ theta: theta, radius: radius, xy: xy }) | |
} | |
console.log(sinpoints) | |
var line = d3.line() | |
.x(function(d){ | |
// console.log('trying to make x with', d) | |
return scale(d.xy[0]) | |
}) | |
.y(function(d){ | |
return yscale(d.xy[1]) | |
}) | |
.curve(d3.curveCatmullRom.alpha(0.5)); // .curve(d3.curveBundle.beta(0.5)); | |
var liner = sinlineg | |
.append('path') | |
.attr('d', line(sinpoints)) | |
.attr('stroke', 'purple') | |
.attr('width', 3) | |
.attr('fill', 'green')//'orange') | |
.attr('class', 'graphline') | |
var totalLength = liner.node().getTotalLength(); | |
console.log(totalLength) | |
liner.attr("stroke-dasharray", totalLength + " " + totalLength) | |
.attr("stroke-dashoffset", totalLength) | |
.transition() | |
.duration(6000) | |
.attr("stroke-dashoffset", .5) | |
.attr('id', function(d,i){ | |
console.log('hope i m in the animating', d); | |
return 'hooey' | |
}); | |
function findcoor(theta, radius){ | |
var xpo = radius * Math.cos(theta); | |
var ypo = radius * Math.sin(theta); | |
if( xpo !== xpo){ | |
xpo = 0; | |
} | |
if ( ypo !== ypo ){ | |
ypo = 0; | |
} | |
// console.log(xpo) | |
return [xpo, ypo] | |
} | |
</script> | |
</body> |
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