nowjs-core/lib/computation/math/Matrix4x4.js

NowCanDo Javascript Core [nowjs-core] is a library written by TypeScript code maintains under Apache 2.0 licence

"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
const index_1 = require("./index");
const NumericSquareMatrix_1 = require("./NumericSquareMatrix");
class Matrix4x4 extends NumericSquareMatrix_1.NumericSquareMatrix {
    constructor(...rows) {
        super(4, ...rows);
    }
    frustum(l, r, b, t, n, f) {
        const m = this.arr;
        m[0][0] = (2 * n) / (r - l);
        m[0][1] = 0;
        m[0][2] = (r + l) / (r - l);
        m[0][3] = 0;
        m[1][0] = 0;
        m[1][1] = (2 * n) / (t - b);
        m[1][2] = (t + b) / (t - b);
        m[1][3] = 0;
        m[2][0] = 0;
        m[2][1] = 0;
        m[2][2] = -(f + n) / (f - n);
        m[2][3] = (-2 * f * n) / (f - n);
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = -1;
        m[3][3] = 0;
        return this;
    }
    ortho(l, r, b, t, n, f) {
        const m = this.arr;
        m[0][0] = 2 / (r - l);
        m[0][1] = 0;
        m[0][2] = 0;
        m[0][3] = -(r + l) / (r - l);
        m[1][0] = 0;
        m[1][1] = 2 / (t - b);
        m[1][2] = 0;
        m[1][3] = -(t + b) / (t - b);
        m[2][0] = 0;
        m[2][1] = 0;
        m[2][2] = -2 / (f - n);
        m[2][3] = -(f + n) / (f - n);
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = 0;
        m[3][3] = -1;
        return this;
    }
    scale(arg1, arg2, arg3) {
        const m = this.arr;
        let x = 0, y = 0, z = 0;
        if (arg1 instanceof index_1.Vector3D) {
            x = arg1.X;
            y = arg1.Y;
            z = arg1.Z;
        }
        else {
            x = arg1;
            y = arg2;
            z = arg3;
        }
        m[0][0] = x;
        m[0][1] = 0;
        m[0][2] = 0;
        m[0][3] = 0;
        m[1][0] = 0;
        m[1][1] = y;
        m[1][2] = 0;
        m[1][3] = 0;
        m[2][0] = 0;
        m[2][1] = 0;
        m[2][2] = z;
        m[2][3] = 0;
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = 0;
        m[3][3] = 1;
        return this;
    }
    translate(arg1, arg2, arg3) {
        const m = this.arr;
        let x = 0, y = 0, z = 0;
        if (arg1 instanceof index_1.Vector3D) {
            x = arg1.X;
            y = arg1.Y;
            z = arg1.Z;
        }
        else {
            x = arg1;
            y = arg2;
            z = arg3;
        }
        m[0][0] = 1;
        m[0][1] = 0;
        m[0][2] = 0;
        m[0][3] = x;
        m[1][0] = 0;
        m[1][1] = 1;
        m[1][2] = 0;
        m[1][3] = y;
        m[2][0] = 0;
        m[2][1] = 0;
        m[2][2] = 1;
        m[2][3] = z;
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = 0;
        m[3][3] = 1;
        return this;
    }
    rotate(a, arg1, arg2, arg3) {
        const m = this.arr;
        let x = 0, y = 0, z = 0;
        if (arg1 instanceof index_1.Vector3D) {
            x = arg1.X;
            y = arg1.Y;
            z = arg1.Z;
        }
        else {
            x = arg1;
            y = arg2;
            z = arg3;
        }
        const d = Math.sqrt(x * x + y * y + z * z);
        a *= Math.PI / 180;
        x /= d;
        y /= d;
        z /= d;
        const c = Math.cos(a), s = Math.sin(a), t = 1 - c;
        m[0][0] = x * x * t + c;
        m[0][1] = x * y * t - z * s;
        m[0][2] = x * z * t + y * s;
        m[0][3] = 0;
        m[1][0] = y * x * t + z * s;
        m[1][1] = y * y * t + c;
        m[1][2] = y * z * t - x * s;
        m[1][3] = 0;
        m[2][0] = z * x * t - y * s;
        m[2][1] = z * y * t + x * s;
        m[2][2] = z * z * t + c;
        m[2][3] = 0;
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = 0;
        m[3][3] = 1;
        return this;
    }
    lookAt(e, c, u) {
        const m = this.arr;
        const f = e.subtract(c).unit();
        const s = u.cross(f).unit();
        const t = f.cross(s).unit();
        m[0][0] = s.X;
        m[0][1] = s.Y;
        m[0][2] = s.Z;
        m[0][3] = -s.dot(e);
        m[1][0] = t.X;
        m[1][1] = t.Y;
        m[1][2] = t.Z;
        m[1][3] = -t.dot(e);
        m[2][0] = f.X;
        m[2][1] = f.Y;
        m[2][2] = f.Z;
        m[2][3] = -f.dot(e);
        m[3][0] = 0;
        m[3][1] = 0;
        m[3][2] = 0;
        m[3][3] = 1;
        return this;
    }
    perspective(fov, aspect, near, far) {
        const result = new Matrix4x4();
        const y = Math.tan((fov * Math.PI) / 360) * near;
        const x = y * aspect;
        return this.frustum(-x, x, -y, y, near, far);
    }
    transformPoint(v) {
        const m = this.arr;
        return new index_1.Vector3D(m[0][0] * v.X + m[0][1] * v.Y + m[0][2] * v.Z + m[0][3], m[1][0] * v.X + [1][1] * v.Y + [1][2] * v.Z + [1][3], m[2][0] * v.X + m[2][1] * v.Y + m[2][2] * v.Z + m[2][3]).divide(m[3][0] * v.X + m[3][1] * v.Y + m[3][2] * v.Z + m[3][3]);
    }
    transformVector(v) {
        const m = this.arr;
        return new index_1.Vector3D(m[0][0] * v.X + m[0][1] * v.Y + m[0][2] * v.Z, m[1][0] * v.X + m[1][1] * v.Y + m[1][2] * v.Z, m[2][0] * v.X + m[2][1] * v.Y + m[2][2] * v.Z);
    }
    transpose() {
        const result = new Matrix4x4();
        const m = this.arr;
        const r = result.arr;
        r[0][0] = m[0][0];
        r[0][1] = m[1][0];
        r[0][2] = m[2][0];
        r[0][3] = m[3][0];
        r[1][0] = m[0][1];
        r[1][1] = m[1][1];
        r[1][2] = m[2][1];
        r[1][3] = m[3][1];
        r[2][0] = m[0][2];
        r[2][1] = m[1][2];
        r[2][2] = m[2][2];
        r[2][3] = m[3][2];
        r[3][0] = m[0][3];
        r[3][1] = m[1][3];
        r[3][2] = m[2][3];
        r[3][3] = m[3][3];
        return result;
    }
}
exports.Matrix4x4 = Matrix4x4;