webgl-tools
diff vmath.js @ 0:4fe036e28796
initial commit
author | John Tsiombikas <nuclear@member.fsf.org> |
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date | Wed, 15 Jun 2011 20:04:49 +0300 |
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children |
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1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000 1.2 +++ b/vmath.js Wed Jun 15 20:04:49 2011 +0300 1.3 @@ -0,0 +1,206 @@ 1.4 +/* 1.5 +libvmath javascript port (original C version: http://gfxtools.sourceforge.net) 1.6 +Copyright (C) 2011 John Tsiombikas <nuclear@member.fsf.org> 1.7 + 1.8 +This program is free software: you can redistribute it and/or modify 1.9 +it under the terms of the GNU General Public License as published by 1.10 +the Free Software Foundation, either version 3 of the License, or 1.11 +(at your option) any later version. 1.12 + 1.13 +This program is distributed in the hope that it will be useful, 1.14 +but WITHOUT ANY WARRANTY; without even the implied warranty of 1.15 +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 1.16 +GNU General Public License for more details. 1.17 + 1.18 +You should have received a copy of the GNU General Public License 1.19 +along with this program. If not, see <http://www.gnu.org/licenses/>. 1.20 +*/ 1.21 + 1.22 +function v3_cons(res, x, y, z) 1.23 +{ 1.24 + res[0] = x; 1.25 + res[1] = y; 1.26 + res[2] = z; 1.27 +} 1.28 + 1.29 +function v3_add(res, a, b) 1.30 +{ 1.31 + res[0] = a[0] + b[0]; 1.32 + res[1] = a[1] + b[1]; 1.33 + res[2] = a[2] + b[2]; 1.34 +} 1.35 + 1.36 +function v3_sub(res, a, b) 1.37 +{ 1.38 + res[0] = a[0] - b[0]; 1.39 + res[1] = a[1] - b[1]; 1.40 + res[2] = a[2] - b[2]; 1.41 +} 1.42 + 1.43 +function v3_mul(res, a, b) 1.44 +{ 1.45 + res[0] = a[0] * b[0]; 1.46 + res[1] = a[1] * b[1]; 1.47 + res[2] = a[2] * b[2]; 1.48 +} 1.49 + 1.50 +function v3_div(res, a, b) 1.51 +{ 1.52 + res[0] = a[0] / b[0]; 1.53 + res[1] = a[1] / b[1]; 1.54 + res[2] = a[2] / b[2]; 1.55 +} 1.56 + 1.57 +function v3_dot(a, b) 1.58 +{ 1.59 + return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; 1.60 +} 1.61 + 1.62 +function v3_cross(res, a, b) 1.63 +{ 1.64 + res[0] = a[1] * b[2] - a[2] * b[1]; 1.65 + res[1] = a[2] * b[0] - a[0] * b[2]; 1.66 + res[2] = a[0] * b[1] - a[1] * b[0]; 1.67 +} 1.68 + 1.69 +function v3_length(v) 1.70 +{ 1.71 + return Math.sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]); 1.72 +} 1.73 + 1.74 +function v3_length_sq(v) 1.75 +{ 1.76 + return v[0] * v[0] + v[1] * v[1] + v[2] * v[2]; 1.77 +} 1.78 + 1.79 +function v3_normalize(v) 1.80 +{ 1.81 + var len = v3_length(v); 1.82 + v[0] /= len; 1.83 + v[1] /= len; 1.84 + v[2] /= len; 1.85 +} 1.86 + 1.87 +function v3_transform(res, v, m) 1.88 +{ 1.89 + res[0] = v[0] * m[0] + v[1] * m[1] + v[2] * m[2] + m[3]; 1.90 + res[1] = v[0] * m[4] + v[1] * m[5] + v[2] * m[6] + m[7]; 1.91 + res[3] = v[0] * m[8] + v[1] * m[9] + v[2] * m[10] + m[11]; 1.92 +} 1.93 + 1.94 +/* --- matrix 4x4 --- */ 1.95 + 1.96 +function m4_cons(res, m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, ma, mb, mc, md, me, mf) 1.97 +{ 1.98 + res[0] = m0; 1.99 + res[1] = m1; 1.100 + res[2] = m2; 1.101 + res[3] = m3; 1.102 + res[4] = m4; 1.103 + res[5] = m5; 1.104 + res[6] = m6; 1.105 + res[7] = m7; 1.106 + res[8] = m8; 1.107 + res[9] = m9; 1.108 + res[10] = ma; 1.109 + res[11] = mb; 1.110 + res[12] = mc; 1.111 + res[13] = md; 1.112 + res[14] = me; 1.113 + res[15] = mf; 1.114 +} 1.115 + 1.116 +function m4_identity(res) 1.117 +{ 1.118 + res[0] = res[5] = res[10] = res[15] = 1.0; 1.119 + res[1] = res[2] = res[3] = res[4] = res[6] = res[7] = 0.0; 1.120 + res[8] = res[9] = res[11] = res[12] = res[13] = res[14] = 0.0; 1.121 +} 1.122 + 1.123 +function m4_copy(res, m) 1.124 +{ 1.125 + res[0] = m[0]; res[1] = m[1]; res[2] = m[2]; res[3] = m[3]; 1.126 + res[4] = m[4]; res[5] = m[5]; res[6] = m[6]; res[7] = m[7]; 1.127 + res[8] = m[8]; res[9] = m[9]; res[10] = m[10]; res[11] = m[11]; 1.128 + res[12] = m[12]; res[13] = m[13]; res[14] = m[14]; res[15] = m[15]; 1.129 +} 1.130 + 1.131 +function m4_mul(res, a, b) 1.132 +{ 1.133 + var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3]; 1.134 + var a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7]; 1.135 + var a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11]; 1.136 + var a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15]; 1.137 + var b00 = b[0], b01 = b[1], b02 = b[2], b03 = b[3]; 1.138 + var b10 = b[4], b11 = b[5], b12 = b[6], b13 = b[7]; 1.139 + var b20 = b[8], b21 = b[9], b22 = b[10], b23 = b[11]; 1.140 + var b30 = b[12], b31 = b[13], b32 = b[14], b33 = b[15]; 1.141 + 1.142 + res[0] = b00 * a00 + b01 * a10 + b02 * a20 + b03 * a30; 1.143 + res[1] = b00 * a01 + b01 * a11 + b02 * a21 + b03 * a31; 1.144 + res[2] = b00 * a02 + b01 * a12 + b02 * a22 + b03 * a32; 1.145 + res[3] = b00 * a03 + b01 * a13 + b02 * a23 + b03 * a33; 1.146 + res[4] = b10 * a00 + b11 * a10 + b12 * a20 + b13 * a30; 1.147 + res[5] = b10 * a01 + b11 * a11 + b12 * a21 + b13 * a31; 1.148 + res[6] = b10 * a02 + b11 * a12 + b12 * a22 + b13 * a32; 1.149 + res[7] = b10 * a03 + b11 * a13 + b12 * a23 + b13 * a33; 1.150 + res[8] = b20 * a00 + b21 * a10 + b22 * a20 + b23 * a30; 1.151 + res[9] = b20 * a01 + b21 * a11 + b22 * a21 + b23 * a31; 1.152 + res[10] = b20 * a02 + b21 * a12 + b22 * a22 + b23 * a32; 1.153 + res[11] = b20 * a03 + b21 * a13 + b22 * a23 + b23 * a33; 1.154 + res[12] = b30 * a00 + b31 * a10 + b32 * a20 + b33 * a30; 1.155 + res[13] = b30 * a01 + b31 * a11 + b32 * a21 + b33 * a31; 1.156 + res[14] = b30 * a02 + b31 * a12 + b32 * a22 + b33 * a32; 1.157 + res[15] = b30 * a03 + b31 * a13 + b32 * a23 + b33 * a33; 1.158 +} 1.159 + 1.160 +function m4_translation(res, x, y, z) 1.161 +{ 1.162 + res[0] = res[5] = res[10] = res[15] = 1.0; 1.163 + res[1] = res[2] = res[3] = res[4] = res[6] = res[7] = res[8] = res[9] = res[11] = 0.0; 1.164 + res[12] = x; 1.165 + res[13] = y; 1.166 + res[14] = z; 1.167 +} 1.168 + 1.169 +function m4_rotation(res, angle, x, y, z) 1.170 +{ 1.171 + var sina = Math.sin(angle); 1.172 + var cosa = Math.cos(angle); 1.173 + var one_minus_cosa = 1.0 - cosa; 1.174 + var nxsq = x * x; 1.175 + var nysq = y * y; 1.176 + var nzsq = z * z; 1.177 + 1.178 + res[0] = nxsq + (1.0 - nxsq) * cosa; 1.179 + res[4] = x * y * one_minus_cosa - z * sina; 1.180 + res[8] = x * z * one_minus_cosa + y * sina; 1.181 + res[1] = x * y * one_minus_cosa + z * sina; 1.182 + res[5] = nysq + (1.0 - nysq) * cosa; 1.183 + res[9] = y * z * one_minus_cosa - x * sina; 1.184 + res[2] = x * z * one_minus_cosa - y * sina; 1.185 + res[6] = y * z * one_minus_cosa + x * sina; 1.186 + res[10] = nzsq + (1.0 - nzsq) * cosa; 1.187 + 1.188 + res[3] = res[7] = res[11] = res[12] = res[13] = res[14] = 0.0; 1.189 + res[15] = 1.0; 1.190 +} 1.191 + 1.192 +function m4_scale(res, x, y, z) 1.193 +{ 1.194 + res[0] = x; 1.195 + res[5] = y; 1.196 + res[10] = z; 1.197 + res[15] = 1.0; 1.198 + res[1] = res[2] = res[3] = res[4] = res[6] = res[7] = 0.0; 1.199 + res[8] = res[9] = res[11] = res[12] = res[13] = res[14] = 0.0; 1.200 +} 1.201 + 1.202 +function m4_string(mat) 1.203 +{ 1.204 + return '[' + mat[0] + ', ' + mat[1] + ', ' + mat[2] + ', ' + mat[3] + ']\n' + 1.205 + '['+ mat[4] + ', ' + mat[5] + ', ' + mat[6] + ', ' + mat[7] + ']\n' + 1.206 + '['+ mat[8] + ', ' + mat[9] + ', ' + mat[10] + ', ' + mat[11] + ']\n' + 1.207 + '['+ mat[12] + ', ' + mat[13] + ', ' + mat[14] + ', ' + mat[15] + ']\n'; 1.208 + 1.209 +}