ref: ca1868c93be4a7a8b500359310f4719ac10dab03
dir: /js/glUtils.js/
// augment Sylvester some Matrix.Translation = function (v) { if (v.elements.length == 2) { var r = Matrix.I(3); r.elements[2][0] = v.elements[0]; r.elements[2][1] = v.elements[1]; return r; } if (v.elements.length == 3) { var r = Matrix.I(4); r.elements[0][3] = v.elements[0]; r.elements[1][3] = v.elements[1]; r.elements[2][3] = v.elements[2]; return r; } throw "Invalid length for Translation"; } Matrix.prototype.flatten = function () { var result = []; if (this.elements.length == 0) return []; for (var j = 0; j < this.elements[0].length; j++) for (var i = 0; i < this.elements.length; i++) result.push(this.elements[i][j]); return result; } Matrix.prototype.ensure4x4 = function() { if (this.elements.length == 4 && this.elements[0].length == 4) return this; if (this.elements.length > 4 || this.elements[0].length > 4) return null; for (var i = 0; i < this.elements.length; i++) { for (var j = this.elements[i].length; j < 4; j++) { if (i == j) this.elements[i].push(1); else this.elements[i].push(0); } } for (var i = this.elements.length; i < 4; i++) { if (i == 0) this.elements.push([1, 0, 0, 0]); else if (i == 1) this.elements.push([0, 1, 0, 0]); else if (i == 2) this.elements.push([0, 0, 1, 0]); else if (i == 3) this.elements.push([0, 0, 0, 1]); } return this; }; Matrix.prototype.make3x3 = function() { if (this.elements.length != 4 || this.elements[0].length != 4) return null; return Matrix.create([[this.elements[0][0], this.elements[0][1], this.elements[0][2]], [this.elements[1][0], this.elements[1][1], this.elements[1][2]], [this.elements[2][0], this.elements[2][1], this.elements[2][2]]]); }; Vector.prototype.flatten = function () { return this.elements; }; function mht(m) { var s = ""; if (m.length == 16) { for (var i = 0; i < 4; i++) { s += "<span style='font-family: monospace'>[" + m[i*4+0].toFixed(4) + "," + m[i*4+1].toFixed(4) + "," + m[i*4+2].toFixed(4) + "," + m[i*4+3].toFixed(4) + "]</span><br>"; } } else if (m.length == 9) { for (var i = 0; i < 3; i++) { s += "<span style='font-family: monospace'>[" + m[i*3+0].toFixed(4) + "," + m[i*3+1].toFixed(4) + "," + m[i*3+2].toFixed(4) + "]</font><br>"; } } else { return m.toString(); } return s; } // // gluLookAt // function makeLookAt(ex, ey, ez, cx, cy, cz, ux, uy, uz) { var eye = $V([ex, ey, ez]); var center = $V([cx, cy, cz]); var up = $V([ux, uy, uz]); var mag; var z = eye.subtract(center).toUnitVector(); var x = up.cross(z).toUnitVector(); var y = z.cross(x).toUnitVector(); var m = $M([[x.e(1), x.e(2), x.e(3), 0], [y.e(1), y.e(2), y.e(3), 0], [z.e(1), z.e(2), z.e(3), 0], [0, 0, 0, 1]]); var t = $M([[1, 0, 0, -ex], [0, 1, 0, -ey], [0, 0, 1, -ez], [0, 0, 0, 1]]); return m.x(t); } // // glOrtho // function makeOrtho(left, right, bottom, top, znear, zfar) { var tx = -(right+left)/(right-left); var ty = -(top+bottom)/(top-bottom); var tz = -(zfar+znear)/(zfar-znear); return $M([[2/(right-left), 0, 0, tx], [0, 2/(top-bottom), 0, ty], [0, 0, -2/(zfar-znear), tz], [0, 0, 0, 1]]); } // // gluPerspective // function makePerspective(fovy, aspect, znear, zfar) { var ymax = znear * Math.tan(fovy * Math.PI / 360.0); var ymin = -ymax; var xmin = ymin * aspect; var xmax = ymax * aspect; return makeFrustum(xmin, xmax, ymin, ymax, znear, zfar); } // // glFrustum // function makeFrustum(left, right, bottom, top, znear, zfar) { var X = 2*znear/(right-left); var Y = 2*znear/(top-bottom); var A = (right+left)/(right-left); var B = (top+bottom)/(top-bottom); var C = -(zfar+znear)/(zfar-znear); var D = -2*zfar*znear/(zfar-znear); return $M([[X, 0, A, 0], [0, Y, B, 0], [0, 0, C, D], [0, 0, -1, 0]]); } // // glOrtho // function makeOrtho(left, right, bottom, top, znear, zfar) { var tx = - (right + left) / (right - left); var ty = - (top + bottom) / (top - bottom); var tz = - (zfar + znear) / (zfar - znear); return $M([[2 / (right - left), 0, 0, tx], [0, 2 / (top - bottom), 0, ty], [0, 0, -2 / (zfar - znear), tz], [0, 0, 0, 1]]); }