webgl公用函数库(cuon-matrix.js,cuon-utils.js,webgl-debug.js,webgl-uti...

// cuon-matrix.js (c) 2012 kanda and matsuda /** * This is a class treating 4x4 matrix. * This class contains the function that is equivalent to OpenGL matrix stack. * The matrix after conversion is calculated by multiplying a conversion matrix from the right. * The matrix is replaced by the calculated result. */ /** * Constructor of Matrix4 * If opt_src is specified, new matrix is initialized by opt_src. * Otherwise, new matrix is initialized by identity matrix. * @param opt_src source matrix(option) */ var Matrix4 = function(opt_src) { var i, s, d; if (opt_src && typeof opt_src === 'object' && opt_src.hasOwnProperty('elements')) { s = opt_src.elements; d = new Float32Array(16); for (i = 0; i < 16; ++i) { d[i] = s[i]; } this.elements = d; } else { this.elements = new Float32Array([1,0,0,0, 0,1,0,0, 0,0,1,0, 0,0,0,1]); } }; /** * Set the identity matrix. * @return this */ Matrix4.prototype.setIdentity = function() { var e = this.elements; e[0] = 1; e[4] = 0; e[8] = 0; e[12] = 0; e[1] = 0; e[5] = 1; e[9] = 0; e[13] = 0; e[2] = 0; e[6] = 0; e[10] = 1; e[14] = 0; e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1; return this; }; /** * Copy matrix. * @param src source matrix * @return this */ Matrix4.prototype.set = function(src) { var i, s, d; s = src.elements; d = this.elements; if (s === d) { return; } for (i = 0; i < 16; ++i) { d[i] = s[i]; } return this; }; /** * Multiply the matrix from the right. * @param other The multiply matrix * @return this */ Matrix4.prototype.concat = function(other) { var i, e, a, b, ai0, ai1, ai2, ai3; // Calculate e = a * b e = this.elements; a = this.elements; b = other.elements; // If e equals b, copy b to temporary matrix. if (e === b) { b = new Float32Array(16); for (i = 0; i < 16; ++i) { b[i] = e[i]; } } for (i = 0; i < 4; i++) { ai0=a[i]; ai1=a[i+4]; ai2=a[i+8]; ai3=a[i+12]; e[i] = ai0 * b[0] + ai1 * b[1] + ai2 * b[2] + ai3 * b[3]; e[i+4] = ai0 * b[4] + ai1 * b[5] + ai2 * b[6] + ai3 * b[7]; e[i+8] = ai0 * b[8] + ai1 * b[9] + ai2 * b[10] + ai3 * b[11]; e[i+12] = ai0 * b[12] + ai1 * b[13] + ai2 * b[14] + ai3 * b[15]; } return this; }; Matrix4.prototype.multiply = Matrix4.prototype.concat; /** * Multiply the three-dimensional vector. * @param pos The multiply vector * @return The result of multiplication(Float32Array) */ Matrix4.prototype.multiplyVector3 = function(pos) { var e = this.elements; var p = pos.elements; var v = new Vector3(); var result = v.elements; result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + e[12]; result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + e[13]; result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + e[14]; return v; }; /** * Multiply the four-dimensional vector. * @param pos The multiply vector * @return The result of multiplication(Float32Array) */ Matrix4.prototype.multiplyVector4 = function(pos) { var e = this.elements; var p = pos.elements; var v = new Vector4(); var result = v.elements; result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + p[3] * e[12]; result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + p[3] * e[13]; result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + p[3] * e[14]; result[3] = p[0] * e[3] + p[1] * e[7] + p[2] * e[11] + p[3] * e[15]; return v; }; /** * Transpose the matrix. * @return this */ Matrix4.prototype.transpose = function() { var e, t; e = this.elements; t = e[ 1]; e[ 1] = e[ 4]; e[ 4] = t; t = e[ 2]; e[ 2] = e[ 8]; e[ 8] = t; t = e[ 3]; e[ 3] = e[12]; e[12] = t; t = e[ 6]; e[ 6] = e[ 9]; e[ 9] = t; t = e[ 7]; e[ 7] = e[13]; e[13] = t; t = e[11]; e[11] = e[14]; e[14] = t; return this; }; /** * Calculate the inverse matrix of specified matrix, and set to this. * @param other The source matrix * @return this */ Matrix4.prototype.setInverseOf = function(other) { var i, s, d, inv, det; s = other.elements; d = this.elements; inv = new Float32Array(16); inv[0] = s[5]*s[10]*s[15] - s[5] *s[11]*s[14] - s[9] *s[6]*s[15] + s[9]*s[7] *s[14] + s[13]*s[6] *s[11] - s[13]*s[7]*s[10]; inv[4] = - s[4]*s[10]*s[15] + s[4] *s[11]*s[14] + s[8] *s[6]*s[15] - s[8]*s[7] *s[14] - s[12]*s[6] *s[11] + s[12]*s[7]*s[10]; inv[8] = s[4]*s[9] *s[15] - s[4] *s[11]*s[13] - s[8] *s[5]*s[15] + s[8]*s[7] *s[13] + s[12]*s[5] *s[11] - s[12]*s[7]*s[9]; inv[12] = - s[4]*s[9] *s[14] + s[4] *s[10]*s[13] + s[8] *s[5]*s[14] - s[8]*s[6] *s[13] - s[12]*s[5] *s[10] + s[12]*s[6]*s[9]; inv[1] = - s[1]*s[10]*s[15] + s[1] *s[11]*s[14] + s[9] *s[2]*s[15] - s[9]*s[3] *s[14] - s[13]*s[2] *s[11] + s[13]*s[3]*s[10]; inv[5] = s[0]*s[10]*s[15] - s[0] *s[11]*s[14] - s[8] *s[2]*s[15] + s[8]*s[3] *s[14] + s[12]*s[2] *s[11] - s[12]*s[3]*s[10]; inv[9] = - s[0]*s[9] *s[15] + s[0] *s[11]*s[13] + s[8] *s[1]*s[15] - s[8]*s[3] *s[13] - s[12]*s[1] *s[11] + s[12]*s[3]*s[9]; inv[13] = s[0]*s[9] *s[14] - s[0] *s[10]*s[13] - s[8] *s[1]*s[14] + s[8]*s[2] *s[13] + s[12]*s[1] *s[10] - s[12]*s[2]*s[9]; inv[2] = s[1]*s[6]*s[15] - s[1] *s[7]*s[14] - s[5] *s[2]*s[15] + s[5]*s[3]*s[14] + s[13]*s[2]*s[7] - s[13]*s[3]*s[6]; inv[6] = - s[0]*s[6]*s[15] + s[0] *s[7]*s[14] + s[4] *s[2]*s[15] - s[4]*s[3]*s[14] - s[12]*s[2]*s[7] + s[12]*s[3]*s[6]; inv[10] = s[0]*s[5]*s[15] - s[0] *s[7]*s[13] - s[4] *s[1]*s[15] + s[4]*s[3]*s[13] + s[12]*s[1]*s[7] - s[12]*s[3]*s[5]; inv[14] = - s[0]*s[5]*s[14] + s[0] *s[6]*s[13] + s[4] *s[1]*s[14] - s[4]*s[2]*s[13] - s[12]*s[1]*s[6] + s[12]*s[2]*s[5]; inv[3] = - s[1]*s[6]*s[11] + s[1]*s[7]*s[10] + s[5]*s[2]*s[11] - s[5]*s[3]*s[10] - s[9]*s[2]*s[7] + s[9]*s[3]*s[6]; inv[7] = s[0]*s[6]*s[11] - s[0]*s[7]*s[10] - s[4]*s[2]*s[11] + s[4]*s[3]*s[10] + s[8]*s[2]*s[7] - s[8]*s[3]*s[6]; inv[11] = - s[0]*s[5]*s[11] + s[0]*s[7]*s[9] + s[4]*s[1]*s[11] - s[4]*s[3]*s[9] - s[8]*s[1]*s[7] + s[8]*s[3]*s[5]; inv[15] = s[0]*s[5]*s[10] - s[0]*s[6]*s[9] - s[4]*s[1]*s[10] + s[4]*s[2]*s[9] + s[8]*s[1]*s[6] - s[8]*s[2]*s[5]; det = s[0]*inv[0] + s[1]*inv[4] + s[2]*inv[8] + s[3]*inv[12]; if (det === 0) { return this; } det = 1 / det; for (i = 0; i < 16; i++) { d[i] = inv[i] * det; } return this; }; /** * Calculate the inverse matrix of this, and set to this. * @return this */ Matrix4.prototype.invert = function() { return this.setInverseOf(this); }; /** * Set the orthographic projection matrix. * @param left The coordinate of the left of clipping plane. * @param right The coordinate of the right of clipping plane. * @param bottom The coordinate of the bottom of clipping plane. * @param top The coordinate of the top top clipping plane. * @param near The distances to the nearer depth clipping plane. This value is minus if the plane is to be behind the viewer. * @param far The distances to the farther depth clipping plane. This value is minus if the plane is to be behind the viewer. * @return this */ Matrix4.prototype.setOrtho = function(left, right, bottom, top, near, far) { var e, rw, rh, rd; if (left === right || bottom === top || near === far) { throw 'null frustum'; } rw = 1 / (right - left); rh = 1 / (top - bottom); rd = 1 / (far - near); e = this.elements; e[0] = 2 * rw; e[1] = 0; e[2] = 0; e[3] = 0; e[4] = 0; e[5] = 2 * rh; e[6] = 0; e[7] = 0; e[8] = 0; e[9] = 0; e[10] = -2 * rd; e[11] = 0; e[12]