/****************************************************************************** * Spine Runtimes License Agreement * Last updated January 1, 2020. Replaces all prior versions. * * Copyright (c) 2013-2020, Esoteric Software LLC * * Integration of the Spine Runtimes into software or otherwise creating * derivative works of the Spine Runtimes is permitted under the terms and * conditions of Section 2 of the Spine Editor License Agreement: * http://esotericsoftware.com/spine-editor-license * * Otherwise, it is permitted to integrate the Spine Runtimes into software * or otherwise create derivative works of the Spine Runtimes (collectively, * "Products"), provided that each user of the Products must obtain their own * Spine Editor license and redistribution of the Products in any form must * include this license and copyright notice. * * THE SPINE RUNTIMES ARE PROVIDED BY ESOTERIC SOFTWARE LLC "AS IS" AND ANY * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * DISCLAIMED. IN NO EVENT SHALL ESOTERIC SOFTWARE LLC BE LIABLE FOR ANY * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, * BUSINESS INTERRUPTION, OR LOSS OF USE, DATA, OR PROFITS) HOWEVER CAUSED AND * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THE SPINE RUNTIMES, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *****************************************************************************/ module spine.webgl { export const M00 = 0; export const M01 = 4; export const M02 = 8; export const M03 = 12; export const M10 = 1; export const M11 = 5; export const M12 = 9; export const M13 = 13; export const M20 = 2; export const M21 = 6; export const M22 = 10; export const M23 = 14; export const M30 = 3; export const M31 = 7; export const M32 = 11; export const M33 = 15; export class Matrix4 { temp: Float32Array = new Float32Array(16); values: Float32Array = new Float32Array(16); private static xAxis: Vector3 = null; private static yAxis: Vector3 = null; private static zAxis: Vector3 = null; private static tmpMatrix = new Matrix4(); constructor () { let v = this.values; v[M00] = 1; v[M11] = 1; v[M22] = 1; v[M33] = 1; } set (values: ArrayLike): Matrix4 { this.values.set(values); return this; } transpose (): Matrix4 { let t = this.temp; let v = this.values; t[M00] = v[M00]; t[M01] = v[M10]; t[M02] = v[M20]; t[M03] = v[M30]; t[M10] = v[M01]; t[M11] = v[M11]; t[M12] = v[M21]; t[M13] = v[M31]; t[M20] = v[M02]; t[M21] = v[M12]; t[M22] = v[M22]; t[M23] = v[M32]; t[M30] = v[M03]; t[M31] = v[M13]; t[M32] = v[M23]; t[M33] = v[M33]; return this.set(t); } identity (): Matrix4 { let v = this.values; v[M00] = 1; v[M01] = 0; v[M02] = 0; v[M03] = 0; v[M10] = 0; v[M11] = 1; v[M12] = 0; v[M13] = 0; v[M20] = 0; v[M21] = 0; v[M22] = 1; v[M23] = 0; v[M30] = 0; v[M31] = 0; v[M32] = 0; v[M33] = 1; return this; } invert (): Matrix4 { let v = this.values; let t = this.temp; let l_det = v[M30] * v[M21] * v[M12] * v[M03] - v[M20] * v[M31] * v[M12] * v[M03] - v[M30] * v[M11] * v[M22] * v[M03] + v[M10] * v[M31] * v[M22] * v[M03] + v[M20] * v[M11] * v[M32] * v[M03] - v[M10] * v[M21] * v[M32] * v[M03] - v[M30] * v[M21] * v[M02] * v[M13] + v[M20] * v[M31] * v[M02] * v[M13] + v[M30] * v[M01] * v[M22] * v[M13] - v[M00] * v[M31] * v[M22] * v[M13] - v[M20] * v[M01] * v[M32] * v[M13] + v[M00] * v[M21] * v[M32] * v[M13] + v[M30] * v[M11] * v[M02] * v[M23] - v[M10] * v[M31] * v[M02] * v[M23] - v[M30] * v[M01] * v[M12] * v[M23] + v[M00] * v[M31] * v[M12] * v[M23] + v[M10] * v[M01] * v[M32] * v[M23] - v[M00] * v[M11] * v[M32] * v[M23] - v[M20] * v[M11] * v[M02] * v[M33] + v[M10] * v[M21] * v[M02] * v[M33] + v[M20] * v[M01] * v[M12] * v[M33] - v[M00] * v[M21] * v[M12] * v[M33] - v[M10] * v[M01] * v[M22] * v[M33] + v[M00] * v[M11] * v[M22] * v[M33]; if (l_det == 0) throw new Error("non-invertible matrix"); let inv_det = 1.0 / l_det; t[M00] = v[M12] * v[M23] * v[M31] - v[M13] * v[M22] * v[M31] + v[M13] * v[M21] * v[M32] - v[M11] * v[M23] * v[M32] - v[M12] * v[M21] * v[M33] + v[M11] * v[M22] * v[M33]; t[M01] = v[M03] * v[M22] * v[M31] - v[M02] * v[M23] * v[M31] - v[M03] * v[M21] * v[M32] + v[M01] * v[M23] * v[M32] + v[M02] * v[M21] * v[M33] - v[M01] * v[M22] * v[M33]; t[M02] = v[M02] * v[M13] * v[M31] - v[M03] * v[M12] * v[M31] + v[M03] * v[M11] * v[M32] - v[M01] * v[M13] * v[M32] - v[M02] * v[M11] * v[M33] + v[M01] * v[M12] * v[M33]; t[M03] = v[M03] * v[M12] * v[M21] - v[M02] * v[M13] * v[M21] - v[M03] * v[M11] * v[M22] + v[M01] * v[M13] * v[M22] + v[M02] * v[M11] * v[M23] - v[M01] * v[M12] * v[M23]; t[M10] = v[M13] * v[M22] * v[M30] - v[M12] * v[M23] * v[M30] - v[M13] * v[M20] * v[M32] + v[M10] * v[M23] * v[M32] + v[M12] * v[M20] * v[M33] - v[M10] * v[M22] * v[M33]; t[M11] = v[M02] * v[M23] * v[M30] - v[M03] * v[M22] * v[M30] + v[M03] * v[M20] * v[M32] - v[M00] * v[M23] * v[M32] - v[M02] * v[M20] * v[M33] + v[M00] * v[M22] * v[M33]; t[M12] = v[M03] * v[M12] * v[M30] - v[M02] * v[M13] * v[M30] - v[M03] * v[M10] * v[M32] + v[M00] * v[M13] * v[M32] + v[M02] * v[M10] * v[M33] - v[M00] * v[M12] * v[M33]; t[M13] = v[M02] * v[M13] * v[M20] - v[M03] * v[M12] * v[M20] + v[M03] * v[M10] * v[M22] - v[M00] * v[M13] * v[M22] - v[M02] * v[M10] * v[M23] + v[M00] * v[M12] * v[M23]; t[M20] = v[M11] * v[M23] * v[M30] - v[M13] * v[M21] * v[M30] + v[M13] * v[M20] * v[M31] - v[M10] * v[M23] * v[M31] - v[M11] * v[M20] * v[M33] + v[M10] * v[M21] * v[M33]; t[M21] = v[M03] * v[M21] * v[M30] - v[M01] * v[M23] * v[M30] - v[M03] * v[M20] * v[M31] + v[M00] * v[M23] * v[M31] + v[M01] * v[M20] * v[M33] - v[M00] * v[M21] * v[M33]; t[M22] = v[M01] * v[M13] * v[M30] - v[M03] * v[M11] * v[M30] + v[M03] * v[M10] * v[M31] - v[M00] * v[M13] * v[M31] - v[M01] * v[M10] * v[M33] + v[M00] * v[M11] * v[M33]; t[M23] = v[M03] * v[M11] * v[M20] - v[M01] * v[M13] * v[M20] - v[M03] * v[M10] * v[M21] + v[M00] * v[M13] * v[M21] + v[M01] * v[M10] * v[M23] - v[M00] * v[M11] * v[M23]; t[M30] = v[M12] * v[M21] * v[M30] - v[M11] * v[M22] * v[M30] - v[M12] * v[M20] * v[M31] + v[M10] * v[M22] * v[M31] + v[M11] * v[M20] * v[M32] - v[M10] * v[M21] * v[M32]; t[M31] = v[M01] * v[M22] * v[M30] - v[M02] * v[M21] * v[M30] + v[M02] * v[M20] * v[M31] - v[M00] * v[M22] * v[M31] - v[M01] * v[M20] * v[M32] + v[M00] * v[M21] * v[M32]; t[M32] = v[M02] * v[M11] * v[M30] - v[M01] * v[M12] * v[M30] - v[M02] * v[M10] * v[M31] + v[M00] * v[M12] * v[M31] + v[M01] * v[M10] * v[M32] - v[M00] * v[M11] * v[M32]; t[M33] = v[M01] * v[M12] * v[M20] - v[M02] * v[M11] * v[M20] + v[M02] * v[M10] * v[M21] - v[M00] * v[M12] * v[M21] - v[M01] * v[M10] * v[M22] + v[M00] * v[M11] * v[M22]; v[M00] = t[M00] * inv_det; v[M01] = t[M01] * inv_det; v[M02] = t[M02] * inv_det; v[M03] = t[M03] * inv_det; v[M10] = t[M10] * inv_det; v[M11] = t[M11] * inv_det; v[M12] = t[M12] * inv_det; v[M13] = t[M13] * inv_det; v[M20] = t[M20] * inv_det; v[M21] = t[M21] * inv_det; v[M22] = t[M22] * inv_det; v[M23] = t[M23] * inv_det; v[M30] = t[M30] * inv_det; v[M31] = t[M31] * inv_det; v[M32] = t[M32] * inv_det; v[M33] = t[M33] * inv_det; return this; } determinant (): number { let v = this.values; return v[M30] * v[M21] * v[M12] * v[M03] - v[M20] * v[M31] * v[M12] * v[M03] - v[M30] * v[M11] * v[M22] * v[M03] + v[M10] * v[M31] * v[M22] * v[M03] + v[M20] * v[M11] * v[M32] * v[M03] - v[M10] * v[M21] * v[M32] * v[M03] - v[M30] * v[M21] * v[M02] * v[M13] + v[M20] * v[M31] * v[M02] * v[M13] + v[M30] * v[M01] * v[M22] * v[M13] - v[M00] * v[M31] * v[M22] * v[M13] - v[M20] * v[M01] * v[M32] * v[M13] + v[M00] * v[M21] * v[M32] * v[M13] + v[M30] * v[M11] * v[M02] * v[M23] - v[M10] * v[M31] * v[M02] * v[M23] - v[M30] * v[M01] * v[M12] * v[M23] + v[M00] * v[M31] * v[M12] * v[M23] + v[M10] * v[M01] * v[M32] * v[M23] - v[M00] * v[M11] * v[M32] * v[M23] - v[M20] * v[M11] * v[M02] * v[M33] + v[M10] * v[M21] * v[M02] * v[M33] + v[M20] * v[M01] * v[M12] * v[M33] - v[M00] * v[M21] * v[M12] * v[M33] - v[M10] * v[M01] * v[M22] * v[M33] + v[M00] * v[M11] * v[M22] * v[M33]; } translate (x: number, y: number, z: number): Matrix4 { let v = this.values; v[M03] += x; v[M13] += y; v[M23] += z; return this; } copy (): Matrix4 { return new Matrix4().set(this.values); } projection (near: number, far: number, fovy: number, aspectRatio: number): Matrix4 { this.identity(); let l_fd = (1.0 / Math.tan((fovy * (Math.PI / 180)) / 2.0)); let l_a1 = (far + near) / (near - far); let l_a2 = (2 * far * near) / (near - far); let v = this.values; v[M00] = l_fd / aspectRatio; v[M10] = 0; v[M20] = 0; v[M30] = 0; v[M01] = 0; v[M11] = l_fd; v[M21] = 0; v[M31] = 0; v[M02] = 0; v[M12] = 0; v[M22] = l_a1; v[M32] = -1; v[M03] = 0; v[M13] = 0; v[M23] = l_a2; v[M33] = 0; return this; } ortho2d (x: number, y: number, width: number, height: number): Matrix4 { return this.ortho(x, x + width, y, y + height, 0, 1); } ortho (left: number, right: number, bottom: number, top: number, near: number, far: number): Matrix4 { this.identity(); let x_orth = 2 / (right - left); let y_orth = 2 / (top - bottom); let z_orth = -2 / (far - near); let tx = -(right + left) / (right - left); let ty = -(top + bottom) / (top - bottom); let tz = -(far + near) / (far - near); let v = this.values; v[M00] = x_orth; v[M10] = 0; v[M20] = 0; v[M30] = 0; v[M01] = 0; v[M11] = y_orth; v[M21] = 0; v[M31] = 0; v[M02] = 0; v[M12] = 0; v[M22] = z_orth; v[M32] = 0; v[M03] = tx; v[M13] = ty; v[M23] = tz; v[M33] = 1; return this; } multiply (matrix: Matrix4): Matrix4 { let t = this.temp; let v = this.values; let m = matrix.values; t[M00] = v[M00] * m[M00] + v[M01] * m[M10] + v[M02] * m[M20] + v[M03] * m[M30]; t[M01] = v[M00] * m[M01] + v[M01] * m[M11] + v[M02] * m[M21] + v[M03] * m[M31]; t[M02] = v[M00] * m[M02] + v[M01] * m[M12] + v[M02] * m[M22] + v[M03] * m[M32]; t[M03] = v[M00] * m[M03] + v[M01] * m[M13] + v[M02] * m[M23] + v[M03] * m[M33]; t[M10] = v[M10] * m[M00] + v[M11] * m[M10] + v[M12] * m[M20] + v[M13] * m[M30]; t[M11] = v[M10] * m[M01] + v[M11] * m[M11] + v[M12] * m[M21] + v[M13] * m[M31]; t[M12] = v[M10] * m[M02] + v[M11] * m[M12] + v[M12] * m[M22] + v[M13] * m[M32]; t[M13] = v[M10] * m[M03] + v[M11] * m[M13] + v[M12] * m[M23] + v[M13] * m[M33]; t[M20] = v[M20] * m[M00] + v[M21] * m[M10] + v[M22] * m[M20] + v[M23] * m[M30]; t[M21] = v[M20] * m[M01] + v[M21] * m[M11] + v[M22] * m[M21] + v[M23] * m[M31]; t[M22] = v[M20] * m[M02] + v[M21] * m[M12] + v[M22] * m[M22] + v[M23] * m[M32]; t[M23] = v[M20] * m[M03] + v[M21] * m[M13] + v[M22] * m[M23] + v[M23] * m[M33]; t[M30] = v[M30] * m[M00] + v[M31] * m[M10] + v[M32] * m[M20] + v[M33] * m[M30]; t[M31] = v[M30] * m[M01] + v[M31] * m[M11] + v[M32] * m[M21] + v[M33] * m[M31]; t[M32] = v[M30] * m[M02] + v[M31] * m[M12] + v[M32] * m[M22] + v[M33] * m[M32]; t[M33] = v[M30] * m[M03] + v[M31] * m[M13] + v[M32] * m[M23] + v[M33] * m[M33]; return this.set(this.temp); } multiplyLeft (matrix: Matrix4): Matrix4 { let t = this.temp; let v = this.values; let m = matrix.values; t[M00] = m[M00] * v[M00] + m[M01] * v[M10] + m[M02] * v[M20] + m[M03] * v[M30]; t[M01] = m[M00] * v[M01] + m[M01] * v[M11] + m[M02] * v[M21] + m[M03] * v[M31]; t[M02] = m[M00] * v[M02] + m[M01] * v[M12] + m[M02] * v[M22] + m[M03] * v[M32]; t[M03] = m[M00] * v[M03] + m[M01] * v[M13] + m[M02] * v[M23] + m[M03] * v[M33]; t[M10] = m[M10] * v[M00] + m[M11] * v[M10] + m[M12] * v[M20] + m[M13] * v[M30]; t[M11] = m[M10] * v[M01] + m[M11] * v[M11] + m[M12] * v[M21] + m[M13] * v[M31]; t[M12] = m[M10] * v[M02] + m[M11] * v[M12] + m[M12] * v[M22] + m[M13] * v[M32]; t[M13] = m[M10] * v[M03] + m[M11] * v[M13] + m[M12] * v[M23] + m[M13] * v[M33]; t[M20] = m[M20] * v[M00] + m[M21] * v[M10] + m[M22] * v[M20] + m[M23] * v[M30]; t[M21] = m[M20] * v[M01] + m[M21] * v[M11] + m[M22] * v[M21] + m[M23] * v[M31]; t[M22] = m[M20] * v[M02] + m[M21] * v[M12] + m[M22] * v[M22] + m[M23] * v[M32]; t[M23] = m[M20] * v[M03] + m[M21] * v[M13] + m[M22] * v[M23] + m[M23] * v[M33]; t[M30] = m[M30] * v[M00] + m[M31] * v[M10] + m[M32] * v[M20] + m[M33] * v[M30]; t[M31] = m[M30] * v[M01] + m[M31] * v[M11] + m[M32] * v[M21] + m[M33] * v[M31]; t[M32] = m[M30] * v[M02] + m[M31] * v[M12] + m[M32] * v[M22] + m[M33] * v[M32]; t[M33] = m[M30] * v[M03] + m[M31] * v[M13] + m[M32] * v[M23] + m[M33] * v[M33]; return this.set(this.temp); } lookAt (position: Vector3, direction: Vector3, up: Vector3) { Matrix4.initTemps(); let xAxis = Matrix4.xAxis, yAxis = Matrix4.yAxis, zAxis = Matrix4.zAxis; zAxis.setFrom(direction).normalize(); xAxis.setFrom(direction).normalize(); xAxis.cross(up).normalize(); yAxis.setFrom(xAxis).cross(zAxis).normalize(); this.identity(); let val = this.values; val[M00] = xAxis.x; val[M01] = xAxis.y; val[M02] = xAxis.z; val[M10] = yAxis.x; val[M11] = yAxis.y; val[M12] = yAxis.z; val[M20] = -zAxis.x; val[M21] = -zAxis.y; val[M22] = -zAxis.z; Matrix4.tmpMatrix.identity(); Matrix4.tmpMatrix.values[M03] = -position.x; Matrix4.tmpMatrix.values[M13] = -position.y; Matrix4.tmpMatrix.values[M23] = -position.z; this.multiply(Matrix4.tmpMatrix) return this; } static initTemps() { if (Matrix4.xAxis === null) Matrix4.xAxis = new Vector3(); if (Matrix4.yAxis === null) Matrix4.yAxis = new Vector3(); if (Matrix4.zAxis === null) Matrix4.zAxis = new Vector3(); } } }