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import type { Segment } from './parser.js';
// Normalize path to include only M, L, C, and Z commands
export function normalize(segments: Segment[]): Segment[] {
const out: Segment[] = [];
let lastType = '';
let cx = 0,
cy = 0;
let subx = 0,
suby = 0;
let lcx = 0,
lcy = 0;
for (const { key, data } of segments) {
switch (key) {
case 'M':
out.push({ key: 'M', data: [...data] });
[cx, cy] = data;
[subx, suby] = data;
break;
case 'C':
out.push({ key: 'C', data: [...data] });
cx = data[4];
cy = data[5];
lcx = data[2];
lcy = data[3];
break;
case 'L':
out.push({ key: 'L', data: [...data] });
[cx, cy] = data;
break;
case 'H':
cx = data[0];
out.push({ key: 'L', data: [cx, cy] });
break;
case 'V':
cy = data[0];
out.push({ key: 'L', data: [cx, cy] });
break;
case 'S': {
let cx1 = 0,
cy1 = 0;
if (lastType === 'C' || lastType === 'S') {
cx1 = cx + (cx - lcx);
cy1 = cy + (cy - lcy);
} else {
cx1 = cx;
cy1 = cy;
}
out.push({ key: 'C', data: [cx1, cy1, ...data] });
lcx = data[0];
lcy = data[1];
cx = data[2];
cy = data[3];
break;
}
case 'T': {
const [x, y] = data;
let x1 = 0,
y1 = 0;
if (lastType === 'Q' || lastType === 'T') {
x1 = cx + (cx - lcx);
y1 = cy + (cy - lcy);
} else {
x1 = cx;
y1 = cy;
}
const cx1 = cx + (2 * (x1 - cx)) / 3;
const cy1 = cy + (2 * (y1 - cy)) / 3;
const cx2 = x + (2 * (x1 - x)) / 3;
const cy2 = y + (2 * (y1 - y)) / 3;
out.push({ key: 'C', data: [cx1, cy1, cx2, cy2, x, y] });
lcx = x1;
lcy = y1;
cx = x;
cy = y;
break;
}
case 'Q': {
const [x1, y1, x, y] = data;
const cx1 = cx + (2 * (x1 - cx)) / 3;
const cy1 = cy + (2 * (y1 - cy)) / 3;
const cx2 = x + (2 * (x1 - x)) / 3;
const cy2 = y + (2 * (y1 - y)) / 3;
out.push({ key: 'C', data: [cx1, cy1, cx2, cy2, x, y] });
lcx = x1;
lcy = y1;
cx = x;
cy = y;
break;
}
case 'A': {
const r1 = Math.abs(data[0]);
const r2 = Math.abs(data[1]);
const angle = data[2];
const largeArcFlag = data[3];
const sweepFlag = data[4];
const x = data[5];
const y = data[6];
if (r1 === 0 || r2 === 0) {
out.push({ key: 'C', data: [cx, cy, x, y, x, y] });
cx = x;
cy = y;
} else {
if (cx !== x || cy !== y) {
const curves: number[][] = arcToCubicCurves(
cx,
cy,
x,
y,
r1,
r2,
angle,
largeArcFlag,
sweepFlag
);
curves.forEach(function (curve) {
out.push({ key: 'C', data: curve });
});
cx = x;
cy = y;
}
}
break;
}
case 'Z':
out.push({ key: 'Z', data: [] });
cx = subx;
cy = suby;
break;
}
lastType = key;
}
return out;
}
function degToRad(degrees: number): number {
return (Math.PI * degrees) / 180;
}
function rotate(x: number, y: number, angleRad: number): [number, number] {
const X = x * Math.cos(angleRad) - y * Math.sin(angleRad);
const Y = x * Math.sin(angleRad) + y * Math.cos(angleRad);
return [X, Y];
}
function arcToCubicCurves(
x1: number,
y1: number,
x2: number,
y2: number,
r1: number,
r2: number,
angle: number,
largeArcFlag: number,
sweepFlag: number,
recursive?: number[]
): number[][] {
const angleRad = degToRad(angle);
let params: number[][] = [];
let f1 = 0,
f2 = 0,
cx = 0,
cy = 0;
if (recursive) {
[f1, f2, cx, cy] = recursive;
} else {
[x1, y1] = rotate(x1, y1, -angleRad);
[x2, y2] = rotate(x2, y2, -angleRad);
const x = (x1 - x2) / 2;
const y = (y1 - y2) / 2;
let h = (x * x) / (r1 * r1) + (y * y) / (r2 * r2);
if (h > 1) {
h = Math.sqrt(h);
r1 = h * r1;
r2 = h * r2;
}
const sign = largeArcFlag === sweepFlag ? -1 : 1;
const r1Pow = r1 * r1;
const r2Pow = r2 * r2;
const left = r1Pow * r2Pow - r1Pow * y * y - r2Pow * x * x;
const right = r1Pow * y * y + r2Pow * x * x;
const k = sign * Math.sqrt(Math.abs(left / right));
cx = (k * r1 * y) / r2 + (x1 + x2) / 2;
cy = (k * -r2 * x) / r1 + (y1 + y2) / 2;
f1 = Math.asin(parseFloat(((y1 - cy) / r2).toFixed(9)));
f2 = Math.asin(parseFloat(((y2 - cy) / r2).toFixed(9)));
if (x1 < cx) {
f1 = Math.PI - f1;
}
if (x2 < cx) {
f2 = Math.PI - f2;
}
if (f1 < 0) {
f1 = Math.PI * 2 + f1;
}
if (f2 < 0) {
f2 = Math.PI * 2 + f2;
}
if (sweepFlag && f1 > f2) {
f1 = f1 - Math.PI * 2;
}
if (!sweepFlag && f2 > f1) {
f2 = f2 - Math.PI * 2;
}
}
let df = f2 - f1;
if (Math.abs(df) > (Math.PI * 120) / 180) {
const f2old = f2;
const x2old = x2;
const y2old = y2;
if (sweepFlag && f2 > f1) {
f2 = f1 + ((Math.PI * 120) / 180) * 1;
} else {
f2 = f1 + ((Math.PI * 120) / 180) * -1;
}
x2 = cx + r1 * Math.cos(f2);
y2 = cy + r2 * Math.sin(f2);
params = arcToCubicCurves(
x2,
y2,
x2old,
y2old,
r1,
r2,
angle,
0,
sweepFlag,
[f2, f2old, cx, cy]
);
}
df = f2 - f1;
const c1 = Math.cos(f1);
const s1 = Math.sin(f1);
const c2 = Math.cos(f2);
const s2 = Math.sin(f2);
const t = Math.tan(df / 4);
const hx = (4 / 3) * r1 * t;
const hy = (4 / 3) * r2 * t;
const m1 = [x1, y1];
const m2 = [x1 + hx * s1, y1 - hy * c1];
const m3 = [x2 + hx * s2, y2 - hy * c2];
const m4 = [x2, y2];
m2[0] = 2 * m1[0] - m2[0];
m2[1] = 2 * m1[1] - m2[1];
if (recursive) {
return [m2, m3, m4].concat(params);
} else {
params = [m2, m3, m4].concat(params);
const curves = [];
for (let i = 0; i < params.length; i += 3) {
const r1 = rotate(params[i][0], params[i][1], angleRad);
const r2 = rotate(params[i + 1][0], params[i + 1][1], angleRad);
const r3 = rotate(params[i + 2][0], params[i + 2][1], angleRad);
curves.push([r1[0], r1[1], r2[0], r2[1], r3[0], r3[1]]);
}
return curves;
}
}