OLD | NEW |
(Empty) | |
| 1 |
| 2 /* |
| 3 ** Copyright (c) 2012 The Khronos Group Inc. |
| 4 ** |
| 5 ** Permission is hereby granted, free of charge, to any person obtaining a |
| 6 ** copy of this software and/or associated documentation files (the |
| 7 ** "Materials"), to deal in the Materials without restriction, including |
| 8 ** without limitation the rights to use, copy, modify, merge, publish, |
| 9 ** distribute, sublicense, and/or sell copies of the Materials, and to |
| 10 ** permit persons to whom the Materials are furnished to do so, subject to |
| 11 ** the following conditions: |
| 12 ** |
| 13 ** The above copyright notice and this permission notice shall be included |
| 14 ** in all copies or substantial portions of the Materials. |
| 15 ** |
| 16 ** THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
| 17 ** EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
| 18 ** MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. |
| 19 ** IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY |
| 20 ** CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, |
| 21 ** TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE |
| 22 ** MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS. |
| 23 */ |
| 24 |
| 25 |
| 26 attribute vec4 gtf_Vertex; |
| 27 attribute vec4 gtf_Color; |
| 28 uniform mat4 gtf_ModelViewProjectionMatrix; |
| 29 varying vec4 color; |
| 30 |
| 31 void main (void) |
| 32 { |
| 33 const float M_PI = 3.14159265358979323846; |
| 34 vec3 x = 2.0 * (gtf_Color.ggg - 0.5); |
| 35 vec3 y = 2.0 * (gtf_Color.bbb - 0.5); |
| 36 vec3 c; |
| 37 vec3 atan_c = vec3(0.0); |
| 38 vec3 scale = vec3(1.0); |
| 39 vec3 sign = vec3(1.0); |
| 40 vec4 result = vec4(0.0, 0.0, 0.0, 1.0); |
| 41 const float epsilon = 1.0e-4; |
| 42 |
| 43 // Avoid evaluating atan(0, x) for x < epsilon because it's implementati
on-dependent |
| 44 if(x[0] > epsilon || abs(y[0]) > epsilon) |
| 45 { |
| 46 if(x[0] < 0.0 ^^ y[0] < 0.0) |
| 47 { |
| 48 sign[0] = -1.0; |
| 49 } |
| 50 |
| 51 if(abs(y[0]) <= abs(x[0])) |
| 52 { |
| 53 c[0] = abs(y[0] / x[0]); |
| 54 // Taylors series expansion for atan |
| 55 atan_c[0] += scale[0] * pow(c[0], float(1)) / float(1); |
| 56 scale[0] *= -1.0; |
| 57 atan_c[0] += scale[0] * pow(c[0], float(3)) / float(3); |
| 58 scale[0] *= -1.0; |
| 59 atan_c[0] += scale[0] * pow(c[0], float(5)) / float(5); |
| 60 scale[0] *= -1.0; |
| 61 atan_c[0] += scale[0] * pow(c[0], float(7)) / float(7); |
| 62 scale[0] *= -1.0; |
| 63 atan_c[0] += scale[0] * pow(c[0], float(9)) / float(9); |
| 64 scale[0] *= -1.0; |
| 65 atan_c[0] += scale[0] * pow(c[0], float(11)) / float(11)
; |
| 66 scale[0] *= -1.0; |
| 67 |
| 68 result[0] = sign[0] * atan_c[0] / (2.0 * M_PI) + 0.5; |
| 69 } |
| 70 else |
| 71 { |
| 72 c[0] = abs(x[0] / y[0]); |
| 73 |
| 74 // Taylors series expansion for atan |
| 75 atan_c[0] += scale[0] * pow(c[0], float(1)) / float(1); |
| 76 scale[0] *= -1.0; |
| 77 atan_c[0] += scale[0] * pow(c[0], float(3)) / float(3); |
| 78 scale[0] *= -1.0; |
| 79 atan_c[0] += scale[0] * pow(c[0], float(5)) / float(5); |
| 80 scale[0] *= -1.0; |
| 81 atan_c[0] += scale[0] * pow(c[0], float(7)) / float(7); |
| 82 scale[0] *= -1.0; |
| 83 atan_c[0] += scale[0] * pow(c[0], float(9)) / float(9); |
| 84 scale[0] *= -1.0; |
| 85 atan_c[0] += scale[0] * pow(c[0], float(11)) / float(11)
; |
| 86 scale[0] *= -1.0; |
| 87 |
| 88 result[0] = sign[0] * (M_PI / 2.0 - atan_c[0]) / (2.0 *
M_PI) + 0.5; |
| 89 } |
| 90 |
| 91 if(x[0] < 0.0) |
| 92 if(y[0] < 0.0) result[0] -= 0.5; |
| 93 else if(y[0] > 0.0) result[0] += 0.5; |
| 94 } |
| 95 |
| 96 if(x[1] > epsilon || abs(y[1]) > epsilon) |
| 97 { |
| 98 if(x[1] < 0.0 ^^ y[1] < 0.0) |
| 99 { |
| 100 sign[1] = -1.0; |
| 101 } |
| 102 |
| 103 if(abs(y[1]) <= abs(x[1])) |
| 104 { |
| 105 c[1] = abs(y[1] / x[1]); |
| 106 // Taylors series expansion for atan |
| 107 atan_c[1] += scale[1] * pow(c[1], float(1)) / float(1); |
| 108 scale[1] *= -1.0; |
| 109 atan_c[1] += scale[1] * pow(c[1], float(3)) / float(3); |
| 110 scale[1] *= -1.0; |
| 111 atan_c[1] += scale[1] * pow(c[1], float(5)) / float(5); |
| 112 scale[1] *= -1.0; |
| 113 atan_c[1] += scale[1] * pow(c[1], float(7)) / float(7); |
| 114 scale[1] *= -1.0; |
| 115 atan_c[1] += scale[1] * pow(c[1], float(9)) / float(9); |
| 116 scale[1] *= -1.0; |
| 117 atan_c[1] += scale[1] * pow(c[1], float(11)) / float(11)
; |
| 118 scale[1] *= -1.0; |
| 119 |
| 120 result[1] = sign[1] * atan_c[1] / (2.0 * M_PI) + 0.5; |
| 121 } |
| 122 else |
| 123 { |
| 124 c[1] = abs(x[1] / y[1]); |
| 125 |
| 126 // Taylors series expansion for atan |
| 127 atan_c[1] += scale[1] * pow(c[1], float(1)) / float(1); |
| 128 scale[1] *= -1.0; |
| 129 atan_c[1] += scale[1] * pow(c[1], float(3)) / float(3); |
| 130 scale[1] *= -1.0; |
| 131 atan_c[1] += scale[1] * pow(c[1], float(5)) / float(5); |
| 132 scale[1] *= -1.0; |
| 133 atan_c[1] += scale[1] * pow(c[1], float(7)) / float(7); |
| 134 scale[1] *= -1.0; |
| 135 atan_c[1] += scale[1] * pow(c[1], float(9)) / float(9); |
| 136 scale[1] *= -1.0; |
| 137 atan_c[1] += scale[1] * pow(c[1], float(11)) / float(11)
; |
| 138 scale[1] *= -1.0; |
| 139 |
| 140 result[1] = sign[1] * (M_PI / 2.0 - atan_c[1]) / (2.0 *
M_PI) + 0.5; |
| 141 } |
| 142 |
| 143 if(x[1] < 0.0) |
| 144 if(y[1] < 0.0) result[1] -= 0.5; |
| 145 else if(y[1] > 0.0) result[1] += 0.5; |
| 146 } |
| 147 |
| 148 if(x[2] > epsilon || abs(y[2]) > epsilon) |
| 149 { |
| 150 if(x[2] < 0.0 ^^ y[2] < 0.0) |
| 151 { |
| 152 sign[2] = -1.0; |
| 153 } |
| 154 |
| 155 if(abs(y[2]) <= abs(x[2])) |
| 156 { |
| 157 c[2] = abs(y[2] / x[2]); |
| 158 // Taylors series expansion for atan |
| 159 atan_c[2] += scale[2] * pow(c[2], float(1)) / float(1); |
| 160 scale[2] *= -1.0; |
| 161 atan_c[2] += scale[2] * pow(c[2], float(3)) / float(3); |
| 162 scale[2] *= -1.0; |
| 163 atan_c[2] += scale[2] * pow(c[2], float(5)) / float(5); |
| 164 scale[2] *= -1.0; |
| 165 atan_c[2] += scale[2] * pow(c[2], float(7)) / float(7); |
| 166 scale[2] *= -1.0; |
| 167 atan_c[2] += scale[2] * pow(c[2], float(9)) / float(9); |
| 168 scale[2] *= -1.0; |
| 169 atan_c[2] += scale[2] * pow(c[2], float(11)) / float(11)
; |
| 170 scale[2] *= -1.0; |
| 171 |
| 172 result[2] = sign[2] * atan_c[2] / (2.0 * M_PI) + 0.5; |
| 173 } |
| 174 else |
| 175 { |
| 176 c[2] = abs(x[2] / y[2]); |
| 177 |
| 178 // Taylors series expansion for atan |
| 179 atan_c[2] += scale[2] * pow(c[2], float(1)) / float(1); |
| 180 scale[2] *= -1.0; |
| 181 atan_c[2] += scale[2] * pow(c[2], float(3)) / float(3); |
| 182 scale[2] *= -1.0; |
| 183 atan_c[2] += scale[2] * pow(c[2], float(5)) / float(5); |
| 184 scale[2] *= -1.0; |
| 185 atan_c[2] += scale[2] * pow(c[2], float(7)) / float(7); |
| 186 scale[2] *= -1.0; |
| 187 atan_c[2] += scale[2] * pow(c[2], float(9)) / float(9); |
| 188 scale[2] *= -1.0; |
| 189 atan_c[2] += scale[2] * pow(c[2], float(11)) / float(11)
; |
| 190 scale[2] *= -1.0; |
| 191 |
| 192 result[2] = sign[2] * (M_PI / 2.0 - atan_c[2]) / (2.0 *
M_PI) + 0.5; |
| 193 } |
| 194 |
| 195 if(x[2] < 0.0) |
| 196 if(y[2] < 0.0) result[2] -= 0.5; |
| 197 else if(y[2] > 0.0) result[2] += 0.5; |
| 198 } |
| 199 |
| 200 color = result; |
| 201 gl_Position = gtf_ModelViewProjectionMatrix * gtf_Vertex; |
| 202 } |
OLD | NEW |