/*eslint-disable no-var*/ // Contains code from glmatrix.js export type Matrix4 = [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number] export type Matrix4InOut = Matrix4 | number[] export type Vector3 = [number, number, number] export type Vector4 = [number, number, number, number] export type Vector = Vector3 | Vector4 export function perspective(out: Matrix4InOut, fovy: number, aspect: number, near: number, far: number) { var f = 1.0 / Math.tan(fovy / 2), nf = 1 / (near - far); out[0] = f / aspect; out[1] = 0; out[2] = 0; out[3] = 0; out[4] = 0; out[5] = f; out[6] = 0; out[7] = 0; out[8] = 0; out[9] = 0; out[10] = (far + near) * nf; out[11] = -1; out[12] = 0; out[13] = 0; out[14] = 2 * far * near * nf; out[15] = 0; return out; } export function perspectiveZO(out: Matrix4InOut, fovy: number, aspect: number, near: number, far: number) { const f = 1.0 / Math.tan(fovy / 2); out[0] = f / aspect; out[1] = 0; out[2] = 0; out[3] = 0; out[4] = 0; out[5] = f; out[6] = 0; out[7] = 0; out[8] = 0; out[9] = 0; out[11] = -1; out[12] = 0; out[13] = 0; out[15] = 0; if (far != null && far !== Infinity) { const nf = 1 / (near - far); out[10] = far * nf; out[14] = far * near * nf; } else { out[10] = -1; out[14] = -near; } return out; } export function translate(out: Matrix4InOut, a: Matrix4InOut, v: Vector) { var x = v[0], y = v[1], z = v[2], a00, a01, a02, a03, a10, a11, a12, a13, a20, a21, a22, a23; if (a === out) { out[12] = a[0] * x + a[4] * y + a[8] * z + a[12]; out[13] = a[1] * x + a[5] * y + a[9] * z + a[13]; out[14] = a[2] * x + a[6] * y + a[10] * z + a[14]; out[15] = a[3] * x + a[7] * y + a[11] * z + a[15]; } else { a00 = a[0]; a01 = a[1]; a02 = a[2]; a03 = a[3]; a10 = a[4]; a11 = a[5]; a12 = a[6]; a13 = a[7]; a20 = a[8]; a21 = a[9]; a22 = a[10]; a23 = a[11]; out[0] = a00; out[1] = a01; out[2] = a02; out[3] = a03; out[4] = a10; out[5] = a11; out[6] = a12; out[7] = a13; out[8] = a20; out[9] = a21; out[10] = a22; out[11] = a23; out[12] = a00 * x + a10 * y + a20 * z + a[12]; out[13] = a01 * x + a11 * y + a21 * z + a[13]; out[14] = a02 * x + a12 * y + a22 * z + a[14]; out[15] = a03 * x + a13 * y + a23 * z + a[15]; } return out; } export function scale(out: Matrix4InOut, a: Matrix4InOut, v: Vector) { var x = v[0], y = v[1], z = v[2]; out[0] = a[0] * x; out[1] = a[1] * x; out[2] = a[2] * x; out[3] = a[3] * x; out[4] = a[4] * y; out[5] = a[5] * y; out[6] = a[6] * y; out[7] = a[7] * y; out[8] = a[8] * z; out[9] = a[9] * z; out[10] = a[10] * z; out[11] = a[11] * z; out[12] = a[12]; out[13] = a[13]; out[14] = a[14]; out[15] = a[15]; return out; } export function rotateX(out: Matrix4InOut, a: Matrix4InOut, rad: number) { var s = Math.sin(rad), c = Math.cos(rad), a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7], a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11]; if (a !== out) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; out[12] = a[12]; out[13] = a[13]; out[14] = a[14]; out[15] = a[15]; } out[4] = a10 * c + a20 * s; out[5] = a11 * c + a21 * s; out[6] = a12 * c + a22 * s; out[7] = a13 * c + a23 * s; out[8] = a20 * c - a10 * s; out[9] = a21 * c - a11 * s; out[10] = a22 * c - a12 * s; out[11] = a23 * c - a13 * s; return out; } export function rotateZ(out: Matrix4InOut, a: Matrix4InOut, rad: number) { var s = Math.sin(rad), c = Math.cos(rad), a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3], a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7]; if (a !== out) { out[8] = a[8]; out[9] = a[9]; out[10] = a[10]; out[11] = a[11]; out[12] = a[12]; out[13] = a[13]; out[14] = a[14]; out[15] = a[15]; } out[0] = a00 * c + a10 * s; out[1] = a01 * c + a11 * s; out[2] = a02 * c + a12 * s; out[3] = a03 * c + a13 * s; out[4] = a10 * c - a00 * s; out[5] = a11 * c - a01 * s; out[6] = a12 * c - a02 * s; out[7] = a13 * c - a03 * s; return out; } /* export function copy(out, a) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; out[4] = a[4]; out[5] = a[5]; out[6] = a[6]; out[7] = a[7]; out[8] = a[8]; out[9] = a[9]; out[10] = a[10]; out[11] = a[11]; out[12] = a[12]; out[13] = a[13]; out[14] = a[14]; out[15] = a[15]; return out; } */ export function multiply(out: Matrix4InOut, a: Matrix4InOut, b: Matrix4InOut) { var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3], a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7], a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11], a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15]; // Cache only the current line of the second matrix var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3]; out[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30; out[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31; out[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32; out[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33; b0 = b[4]; b1 = b[5]; b2 = b[6]; b3 = b[7]; out[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30; out[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31; out[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32; out[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33; b0 = b[8]; b1 = b[9]; b2 = b[10]; b3 = b[11]; out[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30; out[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31; out[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32; out[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33; b0 = b[12]; b1 = b[13]; b2 = b[14]; b3 = b[15]; out[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30; out[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31; out[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32; out[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33; return out; } export function invert(out: Matrix4InOut, a: Matrix4InOut) { var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3], a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7], a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11], a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15], b00 = a00 * a11 - a01 * a10, b01 = a00 * a12 - a02 * a10, b02 = a00 * a13 - a03 * a10, b03 = a01 * a12 - a02 * a11, b04 = a01 * a13 - a03 * a11, b05 = a02 * a13 - a03 * a12, b06 = a20 * a31 - a21 * a30, b07 = a20 * a32 - a22 * a30, b08 = a20 * a33 - a23 * a30, b09 = a21 * a32 - a22 * a31, b10 = a21 * a33 - a23 * a31, b11 = a22 * a33 - a23 * a32, // Calculate the determinant det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; if (!det) { return null; } det = 1.0 / det; out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; out[1] = (a02 * b10 - a01 * b11 - a03 * b09) * det; out[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det; out[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det; out[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det; out[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det; out[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det; out[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det; out[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det; out[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det; out[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det; out[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det; out[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det; out[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det; out[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det; out[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det; return out; } /** * Set a mat4 to the identity matrix * @ignore * @param out the receiving matrix * @returns out */ export function identity(out: Matrix4InOut) { out[0] = 1; out[1] = 0; out[2] = 0; out[3] = 0; out[4] = 0; out[5] = 1; out[6] = 0; out[7] = 0; out[8] = 0; out[9] = 0; out[10] = 1; out[11] = 0; out[12] = 0; out[13] = 0; out[14] = 0; out[15] = 1; return out; } /** * Copy the values from one mat4 to another * @ignore * @param out the receiving matrix * @param a the source matrix * @returns out */ export function copy(out: Matrix4InOut, a: Matrix4InOut) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; out[4] = a[4]; out[5] = a[5]; out[6] = a[6]; out[7] = a[7]; out[8] = a[8]; out[9] = a[9]; out[10] = a[10]; out[11] = a[11]; out[12] = a[12]; out[13] = a[13]; out[14] = a[14]; out[15] = a[15]; return out; } /*eslint-enable no-var*/