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utils.js
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utils.js
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/* accepts parameters
* h Object = {h:x, s:y, v:z}
* OR
* h, s, v
*/
function HSVtoRGB(h, s, v) {
var r, g, b, i, f, p, q, t;
if (arguments.length === 1) {
(s = h.s), (v = h.v), (h = h.h);
}
i = Math.floor(h * 6);
f = h * 6 - i;
p = v * (1 - s);
q = v * (1 - f * s);
t = v * (1 - (1 - f) * s);
switch (i % 6) {
case 0:
(r = v), (g = t), (b = p);
break;
case 1:
(r = q), (g = v), (b = p);
break;
case 2:
(r = p), (g = v), (b = t);
break;
case 3:
(r = p), (g = q), (b = v);
break;
case 4:
(r = t), (g = p), (b = v);
break;
case 5:
(r = v), (g = p), (b = q);
break;
}
return {
r: Math.round(r * 255),
g: Math.round(g * 255),
b: Math.round(b * 255),
};
}
function randomColor() {
return HSVtoRGB(Math.random(), 0.75, 0.85);
}
function colorToString({ r, g, b }) {
return `rgb(${r}, ${g}, ${b})`;
}
function niceRound(n) {
return Math.round((n + Number.EPSILON) * 100) / 100;
}
// Math.ceil rounds -1.2 to -1, but this rounds it to -2
function ceilWithNegatives(n) {
return (
Math.max(Math.abs(Math.floor(n)), Math.abs(Math.ceil(n))) *
(n < 0 ? -1 : 1)
);
}
function matrixProduct(matrices) {
let result = { i: { x: 1, y: 0 }, j: { x: 0, y: 1 } };
matrices.forEach((matrix) => {
if (!matrix.isActive) return;
const oldIX = result.i.x;
const oldIY = result.i.y;
const oldJX = result.j.x;
const oldJY = result.j.y;
result.i.x = oldIX * matrix.i.x + oldJX * matrix.i.y;
result.i.y = oldIY * matrix.i.x + oldJY * matrix.i.y;
result.j.x = oldIX * matrix.j.x + oldJX * matrix.j.y;
result.j.y = oldIY * matrix.j.x + oldJY * matrix.j.y;
});
return result;
}
function isSameMatrix(a, b) {
return (
a.i.x === b.i.x && a.i.y === b.i.y && a.j.x === b.j.x && a.j.y === b.j.y
);
}
function lerpNum(a, b, t) {
const diff = b - a;
return a + diff * t;
}
function lerpMatrix(a, b, t) {
return {
i: { x: lerpNum(a.i.x, b.i.x, t), y: lerpNum(a.i.y, b.i.y, t) },
j: { x: lerpNum(a.j.x, b.j.x, t), y: lerpNum(a.j.y, b.j.y, t) },
};
}
function matrixToRT(matrix) {
return {
iRT: {
theta: Math.atan2(matrix.i.y, matrix.i.x),
r: Math.sqrt(Math.pow(matrix.i.x, 2) + Math.pow(matrix.i.y, 2)),
},
jRT: {
theta: Math.atan2(matrix.j.y, matrix.j.x),
r: Math.sqrt(Math.pow(matrix.j.x, 2) + Math.pow(matrix.j.y, 2)),
},
};
}
function matrixToXY(matrix) {
return {
i: {
x: matrix.iRT.r * Math.cos(matrix.iRT.theta),
y: matrix.iRT.r * Math.sin(matrix.iRT.theta),
},
j: {
x: matrix.jRT.r * Math.cos(matrix.jRT.theta),
y: matrix.jRT.r * Math.sin(matrix.jRT.theta),
},
};
}
function lerpRTMatrix(a, b, t) {
return {
iRT: {
r: lerpNum(a.iRT.r, b.iRT.r, t),
theta: lerpNum(a.iRT.theta, b.iRT.theta, t),
},
jRT: {
r: lerpNum(a.jRT.r, b.jRT.r, t),
theta: lerpNum(a.jRT.theta, b.jRT.theta, t),
},
};
}
function invertMatrix(m) {
const det = m.i.x * m.j.y - m.i.y * m.j.x;
return {
i: { x: m.j.y / det, y: (-1 * m.i.y) / det },
j: { x: (-1 * m.j.x) / det, y: m.i.x / det },
};
}