Archive commit

src/ts/common/mat2d.ts

@@ -0,0 +1,122 @@
+import { Matrix2D } from './interfaces';
+
+export function createMat2D(): Matrix2D {
+	const out = new Float32Array(6);
+	out[0] = 1;
+	out[3] = 1;
+	return out;
+}
+
+export function identityMat2D(out: Matrix2D) {
+	out[0] = 1;
+	out[1] = 0;
+	out[2] = 0;
+	out[3] = 1;
+	out[4] = 0;
+	out[5] = 0;
+	return out;
+}
+
+export function copyMat2D(out: Matrix2D, a: Matrix2D) {
+	out.set(a);
+	return out;
+}
+
+export function setMat2D(out: Matrix2D, a: number, b: number, c: number, d: number, tx: number, ty: number) {
+	out[0] = a;
+	out[1] = b;
+	out[2] = c;
+	out[3] = d;
+	out[4] = tx;
+	out[5] = ty;
+	return out;
+}
+
+export function mulMat2D(out: Matrix2D, a: Matrix2D, b: Matrix2D) {
+	const a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5];
+	const b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5];
+	out[0] = a0 * b0 + a2 * b1;
+	out[1] = a1 * b0 + a3 * b1;
+	out[2] = a0 * b2 + a2 * b3;
+	out[3] = a1 * b2 + a3 * b3;
+	out[4] = a0 * b4 + a2 * b5 + a4;
+	out[5] = a1 * b4 + a3 * b5 + a5;
+	return out;
+}
+
+export function translateMat2D(out: Matrix2D, a: Matrix2D, x: number, y: number) {
+	const a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5];
+	out[0] = a0;
+	out[1] = a1;
+	out[2] = a2;
+	out[3] = a3;
+	out[4] = a0 * x + a2 * y + a4;
+	out[5] = a1 * x + a3 * y + a5;
+	return out;
+}
+
+export function rotateMat2D(out: Matrix2D, a: Matrix2D, rad: number) {
+	const a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5];
+	const s = Math.sin(rad);
+	const c = Math.cos(rad);
+	out[0] = a0 * c + a2 * s;
+	out[1] = a1 * c + a3 * s;
+	out[2] = a0 * -s + a2 * c;
+	out[3] = a1 * -s + a3 * c;
+	out[4] = a4;
+	out[5] = a5;
+	return out;
+}
+
+export function scaleMat2D(out: Matrix2D, a: Matrix2D, x: number, y: number) {
+	const a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5];
+	out[0] = a0 * x;
+	out[1] = a1 * x;
+	out[2] = a2 * y;
+	out[3] = a3 * y;
+	out[4] = a4;
+	out[5] = a5;
+	return out;
+}
+
+const temp = createMat2D();
+
+export function skewX(out: Matrix2D, a: Matrix2D, angle: number): Matrix2D {
+	setMat2D(temp, 1, 0, Math.tan(angle), 1, 0, 0);
+	mulMat2D(out, a, temp);
+	return out;
+}
+
+export function skewY(out: Matrix2D, a: Matrix2D, angle: number): Matrix2D {
+	setMat2D(temp, 1, Math.tan(angle), 0, 1, 0, 0);
+	mulMat2D(out, a, temp);
+	return out;
+}
+
+const tempMatrix = createMat2D();
+
+export function skewTransform(base: Matrix2D | undefined, skew: number, ox: number, oy: number, x: number, y: number): Matrix2D {
+	identityMat2D(tempMatrix);
+
+	if (skew) {
+		translateMat2D(tempMatrix, tempMatrix, ox + x, oy + y);
+		skewY(tempMatrix, tempMatrix, skew);
+		translateMat2D(tempMatrix, tempMatrix, -ox, -oy);
+	} else {
+		translateMat2D(tempMatrix, tempMatrix, x, y);
+	}
+
+	if (base !== undefined) {
+		mulMat2D(tempMatrix, base, tempMatrix);
+	}
+
+	return tempMatrix;
+}
+
+export function isIdentity(m: Matrix2D) {
+	return m[0] === 1 && m[1] === 0 && m[2] === 0 && m[3] === 1 && m[4] === 0 && m[5] === 0;
+}
+
+export function isTranslation(m: Matrix2D) {
+	return m[0] === 1 && m[1] === 0 && m[2] === 0 && m[3] === 1;
+}