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index.html
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<!doctype html>
<html>
<head>
<title>trigWheel</title>
<style>
#canvas0 {
position: absolute;
/*width:500px;*/
height: 100%;
left: 200px;
top: 10px;
/*border:1px solid #000;*/
/*background-color:#cfc;*/
}
#menu {
position: absolute;
top: 2px;
right: 0px;
padding: 0px;
background-color: #fff;
overflow: hidden;
transition: all 0.2s linear;
}
input {
height: 30px;
width: 150px;
font-size: 22px;
visibility: visible;
outline: none;
}
input[type=range] {
-webkit-appearance: none;
background-color: #c0c0c0;
border-radius: 15px;
}
input[type="range"]::-webkit-slider-thumb {
-webkit-appearance: none;
background-color: #666;
opacity: 0.5;
width: 30px;
height: 30px;
border: 2px solid #000;
border-radius: 15px;
transition: opacity 0.2s linear;
}
input[type="range"]:disabled {
background-color: #eee;
}
input[type=range]:disabled::-webkit-slider-thumb {
/*display:none;*/
opacity: 0.05;
transition: opacity 0.2s linear;
}
input[type=checkbox] {
height: 30px;
width: 30px;
vertical-align: middle;
visibility: visible;
}
label {
font-size: 26px;
}
</style>
</head>
<body bgcolor="#ffffff">
<canvas id="canvas0" height="500" width="500"></canvas>
<div id="menu">
<input id="armColorInput" type="color" value="#ffffff">
<br>
<input id="sinColorInput" type="color" value="#ffffff">
<br>
<input id="cosColorInput" type="color" value="#ffffff">
<br>
<input id="lineWidthInput" type="range" min="1" max="10" value="8">
<br>
<input id="angCapSizeInput" type="range" min="10" max="100" value="42" disabled="true">
<br>
<input id="displayCapBox" type="checkbox">
<label for="displayCapBox"> show cap </label>
<br>
<input id="displaySinBox" type="checkbox">
<label for="displaySinBox"> show sin </label>
<br>
<input id="displayCosBox" type="checkbox">
<label for="displayCosBox"> show cos </label>
<br>
<input id="displayArcBox" type="checkbox">
<label for="displayArcBox"> show arc </label>
<br>
<input id="displayAxiBox" type="checkbox">
<label for="displayAxiBox"> show axi </label>
<br>
<input id="snapToAnglesBox" type="checkbox">
<label for="snapToAnglesBox"> snap to </label>
<br>
<input id="degRadButton" type="button" value="DEG | rad" disabled="true">
<br>
<hr>
<input id="resetDefaultsButt" type="button" value="~ ~ ~ ~ ~">
<br>
</div>
</body>
<script>
// debugg - reset local storage
//localStorage.clear();
(() => { // anonymouse closure
var pizzaface,
// useful vars
pi = Math.PI,
pi2 = 2 * Math.PI,
pi6 = Math.PI / 6,
pageCenter = {
x: 0,
y: 0
},
chars = {
pi: '\u03c0',
theta: '\u03b8',
deg: '\u00b0',
root: '\u221a'
},
snapCaps = [{
rad: '0',
sin: '0',
cos: '1'
}, {
rad: chars.pi + '/6',
sin: '1/2',
cos: chars.root + '3/2'
}, {
rad: chars.pi + '/3',
sin: chars.root + '3/2',
cos: '1/2'
}, {
rad: chars.pi + '/2',
sin: '1',
cos: '0'
}, {
rad: '2' + chars.pi + '/3',
sin: chars.root + '3/2',
cos: '-1/2 '
}, {
rad: '5' + chars.pi + '/6',
sin: '1/2',
cos: '-' + chars.root + '3/2'
}, {
rad: chars.pi,
sin: '0',
cos: '-1'
}, {
rad: '7' + chars.pi + '/6',
sin: '-1/2 ',
cos: '-' + chars.root + '3/2'
}, {
rad: '4' + chars.pi + '/3',
sin: '-' + chars.root + '3/2',
cos: '-1/2 '
}, {
rad: '3' + chars.pi + '/2',
sin: '-1 ',
cos: '0'
}, {
rad: '5' + chars.pi + '/3',
sin: '-' + chars.root + '3/2',
cos: '1/2'
}, {
rad: '11' + chars.pi + '/6',
sin: '-1/2 ',
cos: chars.root + '3/2'
}, {
rad: '2' + chars.pi,
sin: '0',
cos: '1'
}, {
rad: chars.pi + '/4',
sin: chars.root + '2/2',
cos: chars.root + '2/2'
}, {
rad: chars.pi + '/4',
sin: chars.root + '2/2',
cos: chars.root + '2/2'
}, {
rad: '3' + chars.pi + '/4',
sin: chars.root + '2/2',
cos: '-' + chars.root + '2/2'
}, {
rad: '3' + chars.pi + '/4',
sin: chars.root + '2/2',
cos: '-' + chars.root + '2/2'
}, {
rad: '5' + chars.pi + '/4',
sin: '-' + chars.root + '2/2',
cos: '-' + chars.root + '2/2'
}, {
rad: '5' + chars.pi + '/4',
sin: '-' + chars.root + '2/2',
cos: '-' + chars.root + '2/2'
}, {
rad: '7' + chars.pi + '/4',
sin: '-' + chars.root + '2/2',
cos: chars.root + '2/2'
}, {
rad: '7' + chars.pi + '/4',
sin: '-' + chars.root + '2/2',
cos: chars.root + '2/2'
}],
canvas = document.getElementById('canvas0'),
context = canvas.getContext('2d'),
centerX = canvas.width / 2,
centerY = canvas.height / 2,
theta = 0,
// default preferences for restoration
defPrefs = {
appName: 'Trig_Wheel',
hideMenuOnOpen: false,
menuHidden: false,
displayCap: false,
displaySin: true,
displayCos: true,
displayArc: true,
displayAxi: true,
showCircle: true,
snapToAngles: false,
degRad: true,
snapCapsVal: 0,
snapDif: 5,
armSize: {
min: 50,
max: 250,
val: 210
},
armColor: '#000000', //'#ffbb00',//'#eeaa00',
sinColor: '#cc3300',
cosColor: '#668866',
axiColorHi: '#000000',
axiColorLo: 'rgba(0,0,0,1.00)',
lineWidth: 8,
arcOffset: 40,
arcAdjust: 90,
angCapSize: 42,
curTheta: pi6,
deltaX: -1 * Math.sqrt(3),
deltaY: 1
},
// preferences ...
prefs = {};
// method to store prefs locally
function storePrefs() {
/* global localStorage*/
localStorage.setItem(defPrefs.appName, JSON.stringify(prefs));
}
// method to reset all preferences to defaults
var resetDefaultPreferences = function() {
// blank the prefs
prefs = {};
// change all operating preferences back to default
for (var i in defPrefs) {
// parse this so it's not a pointer
prefs[i] = JSON.parse(JSON.stringify(defPrefs[i]));
}
// store the defaults as the local preferences
storePrefs();
}
// either read prefs from local storage, or use defaults and set local
if (localStorage[defPrefs.appName]) {
prefs = JSON.parse(localStorage[defPrefs.appName]);
}
else {
resetDefaultPreferences();
}
// setup everthing from prefs
function setUpFromPreferences() {
// calculate the page center
pageCenter.x = (window.innerWidth / 2);
pageCenter.y = (window.innerHeight / 2);
// move the canvas to the center of the page
canvas.style.left = pageCenter.x - canvas.offsetWidth / 2 + 'px';
canvas.style.top = pageCenter.y - canvas.offsetHeight / 2 + 'px';
// set the color changers to the prefs color values
armColorInput.value = prefs.armColor;
sinColorInput.value = prefs.sinColor;
cosColorInput.value = prefs.cosColor;
// set the show trig vals to their prefs
displayCapBox.checked = prefs.displayCap;
displaySinBox.checked = prefs.displaySin;
displayCosBox.checked = prefs.displayCos;
displayArcBox.checked = prefs.displayArc;
displayAxiBox.checked = prefs.displayAxi;
snapToAnglesBox.checked = prefs.snapToAngles;
degRadButton.value = prefs.degRad ? 'DEG | rad' : 'deg | RAD';
degRadButton.disabled = !prefs.displayCap;
// set the slider values to their prefs
lineWidthInput.value = prefs.lineWidth;
angCapSizeInput.value = prefs.angCapSize;
angCapSizeInput.disabled = !prefs.displayCap;
// start at the previous or default angle
theta = Math.atan2(prefs.deltaY, prefs.deltaX);
}
// listen for mouse moving on the entire body, and rotate the armiture
window.addEventListener(window.touchmove? 'touchmove' : 'mousemove', e => {
// compute the angle of rotation between the mouse and the center
var deltaX = pageCenter.x - e.pageX;
var deltaY = pageCenter.y - e.pageY;
// make sure mouse is not AT the center
if (Math.sqrt(deltaX * deltaX + deltaY * deltaY) < 20) {
return;
}
// else, calculate the angle
theta = Math.atan2(deltaY, deltaX);
// store deltas
prefs.deltaY = deltaY;
prefs.deltaX = deltaX;
redraw();
}, false);
function redraw() {
// adjust theta for the rand mcnally universe
var displayTheta = pi - theta;
// create a degrees version
var degTheta = 360 * displayTheta / pi2;
// prevent the arm from looping
if (degTheta < 180 && prefs.curTheta > 300) {
// it's a loop, lock at THREE-SIXTY degrees
displayTheta = 0;
degTheta = 360;
}
else if (degTheta > 180 && prefs.curTheta < 120) {
// it's a loop, lock at ZERO degrees
displayTheta = pi2;
degTheta = 0;
}
else {
// save the current rotation for next time
prefs.curTheta = degTheta;
}
// if snapping is on ...
if (prefs.snapToAngles) {
// check if close to a multiple of 30deg angle ...
if (degTheta % 30 > (30 - prefs.snapDif) || degTheta % 30 < prefs.snapDif) {
// reset theta to an exact multiple of 30 degrees
degTheta = Math.round(degTheta / 30) * 30;
// reset the display theta to radians of that deg
displayTheta = (degTheta / 360) * pi2;
}
// otherwise check if close to multiple of 45deg ...
else if (degTheta % 45 > (45 - prefs.snapDif) || degTheta % 45 < prefs.snapDif) {
// reset theta to an exact multiple of 45 degrees
degTheta = Math.round(degTheta / 45) * 45;
// reset the display theta to radians of that deg
displayTheta = (degTheta / 360) * pi2;
}
// set the snapCapsVal - check if a %30deg angle
if (degTheta % 30 === 0) {
prefs.snapCapsVal = Math.round(degTheta / 30);
}
// check if a %45deg angle
else if (degTheta % 45 === 0) {
prefs.snapCapsVal = 12 + Math.round(degTheta / 45);
}
// otherwise just make the index negative
else {
prefs.snapCapsVal = -1;
}
}
// calculate trig vals adjusted for rand mcnally universe
var tmpSin = prefs.armSize.val * Math.sin(-displayTheta);
var tmpCos = prefs.armSize.val * Math.cos(displayTheta);
// clear the canvas for redraw
context.clearRect(0, 0, canvas.width, canvas.height);
// draw the axis-circle if needed
if (prefs.showCircle) {
context.beginPath();
context.arc(
centerX,
centerY,
prefs.armSize.val,
0,
pi2,
true
);
context.strokeStyle = prefs.axiColorHi;
context.lineWidth = 1;
context.stroke();
context.closePath();
}
// draw the axiseses if needed
if (prefs.displayAxi) {
// draw x-axis
context.beginPath();
context.moveTo(0, centerY);
context.lineTo(centerX * 2, centerY);
// if armature is over x-axis, make it lighter
context.strokeStyle = Math.abs(Math.tan(displayTheta)) < 0.01 ? prefs.axiColorLo : prefs.axiColorHi;
context.lineWidth = 1;
context.stroke();
context.closePath();
// draw y-axis
context.beginPath();
context.moveTo(centerX, 0);
context.lineTo(centerX, centerY * 2);
// if armature is over y-axis, make it lighter
context.strokeStyle = Math.abs(Math.tan(displayTheta)) > 12 ? prefs.axiColorLo : prefs.axiColorHi;
context.lineWidth = 1;
context.stroke();
context.closePath();
}
// draw snapTo points if needed
if (prefs.snapToAngles) {
// draw all the %30deg angle dots
for (var i = 0, j = 12; i < j; i++) {
context.beginPath();
context.arc(
centerX + (prefs.armSize.val * Math.cos(i * pi6)),
centerY + (prefs.armSize.val * Math.sin(i * pi6)),
2,
0,
pi2,
true
);
context.fillStyle = prefs.axiColorLo;
context.fill();
context.closePath();
}
// draw all the %45deg angle dots
for (var i = 1, j = 8; i < j; i += 2) {
context.beginPath();
context.arc(
centerX + (prefs.armSize.val * Math.cos((i * pi) / 4)),
centerY + (prefs.armSize.val * Math.sin((i * pi) / 4)),
2,
0,
pi2,
true
);
context.fillStyle = prefs.axiColorLo;
context.fill();
context.closePath();
}
}
// draw the arc of theta if needed
if (prefs.displayArc && degTheta !== 0) {
context.beginPath();
// draw a square for 90 deg angle if needed
if (prefs.snapToAngles && degTheta > 88 && degTheta < 92) {
context.moveTo(centerX + prefs.arcOffset + (prefs.lineWidth), centerY);
context.lineTo(centerX + prefs.arcOffset + (prefs.lineWidth), centerY - prefs.arcOffset - (prefs.lineWidth / 2));
context.lineTo(centerX, centerY - prefs.arcOffset - (prefs.lineWidth / 2));
}
else { // otherwise draw the arc
if (prefs.snapToAngles === true) {
if (pi2 - displayTheta === 0) {
displayTheta = 0;
}
else if (displayTheta === 0) {
displayTheta = pi2;
}
}
context.arc(
centerX,
centerY,
parseInt(prefs.lineWidth) + (
degTheta < prefs.arcAdjust && !prefs.displayCap ?
(prefs.arcOffset) + (1 - (degTheta / prefs.arcAdjust)) * (prefs.armSize.val - (prefs.lineWidth * 4) - prefs.arcOffset) :
prefs.arcOffset
),
0,
pi2 - displayTheta,
( (pi2 - displayTheta === pi2) ? false : true)
);
}
context.strokeStyle = prefs.armColor;
context.lineWidth = 2 * prefs.lineWidth;
context.stroke();
context.closePath();
}
// draw the arm with a hole in it for caption if needed
if (prefs.displayCap) {
var innerSin = ((prefs.armSize.val / 2) - (prefs.angCapSize) + (prefs.lineWidth / 2)) * Math.sin(-displayTheta);
var innerCos = ((prefs.armSize.val / 2) - (prefs.angCapSize) + (prefs.lineWidth / 2)) * Math.cos(displayTheta);
// draw the inner part of the arm
context.beginPath();
context.moveTo(centerX, centerY);
context.lineTo(centerX + innerCos, centerY + innerSin);
context.strokeStyle = prefs.armColor;
context.lineWidth = prefs.lineWidth * 3;
context.stroke();
context.closePath();
// draw the outter part of the arm
context.beginPath();
innerSin = ((parseInt(prefs.armSize.val) / 2) + (parseInt(prefs.angCapSize)) - prefs.lineWidth / 2) * Math.sin(-displayTheta);
innerCos = ((parseInt(prefs.armSize.val) / 2) + (parseInt(prefs.angCapSize)) - prefs.lineWidth / 2) * Math.cos(displayTheta);
context.moveTo(centerX + innerCos, centerY + innerSin);
var outterSin = (prefs.armSize.val) * Math.sin(-displayTheta);
var outterCos = (prefs.armSize.val) * Math.cos(displayTheta);
context.lineTo(centerX + outterCos, centerY + outterSin);
context.strokeStyle = prefs.armColor;
context.lineWidth = prefs.lineWidth * 3;
context.stroke();
context.closePath();
}
else { // otherwise just draw a solid armature
context.beginPath();
context.moveTo(centerX, centerY);
context.lineTo(centerX + tmpCos, centerY + tmpSin);
context.strokeStyle = prefs.armColor;
context.lineWidth = prefs.lineWidth * 3;
context.stroke();
context.closePath();
}
// always put a circle at the tip of the armiture
context.beginPath();
context.arc(
centerX + tmpCos,
centerY + tmpSin,
prefs.lineWidth * 3.5,
0,
pi2,
true
);
context.fillStyle = prefs.armColor;
context.fill();
context.closePath();
// always put a circle at the base of the armiture
context.beginPath();
context.arc(
centerX,
centerY,
prefs.lineWidth * 3.5,
0,
pi2,
true
);
context.closePath();
context.fillStyle = prefs.armColor;
context.fill();
// draw sine line if turned on
if (prefs.displaySin) {
context.beginPath();
context.moveTo(centerX + tmpCos, centerY);
context.lineTo(centerX + tmpCos, centerY + tmpSin);
context.strokeStyle = prefs.sinColor;
context.lineWidth = prefs.lineWidth * 2;
context.stroke();
context.closePath();
// put a circle at the base of the sin line
context.beginPath();
context.arc(
centerX + tmpCos,
centerY,
prefs.lineWidth * 3,
0,
pi2,
true
);
context.fillStyle = prefs.sinColor;
context.fill();
context.closePath();
}
// draw cosine line if turned on
if (prefs.displayCos) {
context.beginPath();
context.moveTo(centerX, centerY);
context.lineTo(centerX + tmpCos, centerY);
context.strokeStyle = prefs.cosColor;
context.lineWidth = prefs.lineWidth * 2;
context.stroke();
context.closePath();
// put a circle at the tip of the cos line
context.beginPath();
context.arc(
centerX + tmpCos,
centerY,
prefs.lineWidth * 2.5,
0,
pi2,
true
);
context.fillStyle = prefs.cosColor;
context.fill();
context.closePath();
}
// sin caption
if (prefs.displaySin) {
// put a circle at the top of the sin line
context.beginPath();
context.arc(
centerX + tmpCos,
centerY + tmpSin,
prefs.lineWidth * 2,
0,
pi2,
true
);
context.fillStyle = prefs.sinColor;
context.fill();
context.closePath();
// display the value
if (prefs.displayCap) {
context.textBaseline = 'alphabetic';
context.font = (lineWidthInput.value / 10) * 15 + 'px Courier New';
context.fillStyle = '#ffffff';
context.textAlign = 'center';
var tmpVal = (-tmpSin / prefs.armSize.val).toFixed(3);
// put exact values if snapping to a snap point
if (
prefs.snapToAngles &&
prefs.degRad === false &&
prefs.snapCapsVal > -1
) {
tmpVal = snapCaps[prefs.snapCapsVal].sin;
} else if (degTheta === 0) {
tmpVal = "0.000";
} else if (degTheta === 360) {
tmpVal = "0.000";
}
context.fillText(tmpVal, centerX + tmpCos, centerY + tmpSin + 5);
context.closePath();
}
}
// cos caption
if (prefs.displayCos) {
// put a circle at the base of the cos line
context.beginPath();
context.arc(
centerX,
centerY,
prefs.lineWidth * 2.5,
0,
pi2,
true
);
context.fillStyle = prefs.cosColor;
context.fill();
// display the value
if (prefs.displayCap) {
context.textBaseline = 'alphabetic';
context.font = (lineWidthInput.value / 10) * 15 + 'px Courier New';
context.fillStyle = '#ffffff';
context.textAlign = 'center';
var tmpVal = (tmpCos / prefs.armSize.val).toFixed(3);
// put exact values if snapping to a snap point
if (
prefs.snapToAngles &&
prefs.degRad === false &&
prefs.snapCapsVal > -1
) {
tmpVal = snapCaps[prefs.snapCapsVal].cos;
} else if (degTheta === 270) {
tmpVal = "0.000";
}
context.fillText(tmpVal, centerX, centerY + 4);
context.closePath();
}
}
// show angle value if needed
if (prefs.displayCap) {
// draw the circle for the hole
context.beginPath();
context.arc(
centerX + (prefs.armSize.val / 2) * Math.cos(displayTheta),
centerY + (prefs.armSize.val / 2) * Math.sin(-displayTheta),
prefs.angCapSize,
0,
pi2,
true
);
context.strokeStyle = prefs.armColor;
context.lineWidth = prefs.lineWidth * 1;
context.stroke();
context.fillStyle = 'rgba(0,0,0,0.25)';
context.fill();
context.closePath();
// put the actual angle value in the hole
context.beginPath();
context.textBaseline = 'alphabetic';
context.font = (angCapSizeInput.value / 100) * 48 + 'px Courier New';
context.fillStyle = prefs.armColor;
textAlign = 'center';
var tmpTxt = (prefs.degRad ? degTheta.toFixed(1) + '' + chars.deg : displayTheta.toFixed(2));
// put exact values if snapping to a snap point
if (
prefs.snapToAngles &&
prefs.degRad === false &&
prefs.snapCapsVal > -1
) {
tmpTxt = snapCaps[prefs.snapCapsVal].rad;
} else if (degTheta === 0 && prefs.degRad === false) {
tmpTxt = "0.00";
} else if (degTheta === 360 && prefs.degRad === false) {
tmpTxt = "6.28";
}
context.fillText(
tmpTxt,
centerX + (prefs.armSize.val / 2) * Math.cos(displayTheta),
centerY + (prefs.armSize.val / 2) * Math.sin(-displayTheta) + 6
);
context.closePath();
}
}
// handle changes to inputs
armColorInput.addEventListener('input', function(e) {
prefs.armColor = this.value;
redraw();
}, false);
sinColorInput.addEventListener('input', function(e) {
prefs.sinColor = this.value;
redraw();
}, false);
cosColorInput.addEventListener('input', function(e) {
prefs.cosColor = this.value;
redraw();
}, false);
lineWidthInput.addEventListener('input', function(e) {
prefs.lineWidth = parseInt(this.value);
redraw();
}, false);
angCapSizeInput.addEventListener('input', function(e) {
prefs.angCapSize = this.value;
redraw();
}, false);
displayCapBox.addEventListener('change', function(e) {
prefs.displayCap = this.checked;
angCapSizeInput.disabled = !angCapSizeInput.disabled;
degRadButton.disabled = !degRadButton.disabled;
redraw();
}, false);
displaySinBox.addEventListener('change', function(e) {
prefs.displaySin = this.checked;
redraw();
}, false);
displayCosBox.addEventListener('change', function(e) {
prefs.displayCos = this.checked;
redraw();
}, false);
displayArcBox.addEventListener('change', function(e) {
prefs.displayArc = this.checked;
redraw();
}, false);
displayAxiBox.addEventListener('change', function(e) {
prefs.displayAxi = this.checked;
redraw();
}, false);
snapToAnglesBox.addEventListener('change', function(e) {
prefs.snapToAngles = this.checked;
redraw();
}, false);
degRadButton.addEventListener('click', function(e) {
prefs.degRad = prefs.degRad ? false : true;
degRadButton.value = prefs.degRad ? 'DEG | rad' : 'deg | RAD';
redraw();
}, false);
resetDefaultsButt.addEventListener('click', function() {
resetDefaultPreferences();
setUpFromPreferences();
redraw();
}, false);
// handle the prefs edit menu on/close
menu.initH = menu.offsetHeight + 'px';
menu.style.zIndex = 1000;
if (prefs.hideMenuOnOpen) {
prefs.menuHidden = true;
menu.style.height = '0px';
}
else if (prefs.menuHidden) {
prefs.menuHidden = true;
menu.style.height = '0px';
}
else {
prefs.menuHidden = false;
menu.style.height = menu.initH;
}
window.addEventListener('keydown', function(e) {
if (e.keyCode === 32 & e.ctrlKey) {
// open the prefs menu
menu.style.height = menu.style.height === '0px' ? menu.initH : '0px';
prefs.menuHidden = prefs.menuHidden === true ? false : true;
}
}, false);
// recenter on resize
window.addEventListener('resize', function(e) {
setUpFromPreferences();
}, false);
// save state when the page closes
window.onbeforeunload = function() {
storePrefs();
//return 'msg about leaving for realsies';
};
//////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////
// begin
var InPrincipioErataVerbum = function() {
setUpFromPreferences();
redraw();
}();
//////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////
})(); // selfie on the moon!
</script>
</html>