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5564 | serge | 1 | /* |
2 | * Copyright (C) 2011 Marek Olšák |
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3 | * |
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4 | * Permission is hereby granted, free of charge, to any person obtaining a |
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5 | * copy of this software and associated documentation files (the "Software"), |
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6 | * to deal in the Software without restriction, including without limitation |
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7 | * the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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8 | * and/or sell copies of the Software, and to permit persons to whom the |
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9 | * Software is furnished to do so, subject to the following conditions: |
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10 | * |
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11 | * The above copyright notice and this permission notice (including the next |
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12 | * paragraph) shall be included in all copies or substantial portions of the |
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13 | * Software. |
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14 | * |
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15 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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16 | * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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17 | * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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18 | * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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19 | * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
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20 | * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER |
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21 | * DEALINGS IN THE SOFTWARE. |
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22 | */ |
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23 | |||
24 | /* Based on code from The OpenGL Programming Guide / 7th Edition, Appendix J. |
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25 | * Available here: http://www.opengl-redbook.com/appendices/ |
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26 | * The algorithm in the book contains a bug though, which is fixed in the code |
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27 | * below. |
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28 | */ |
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29 | |||
30 | #define UF11(e, m) ((e << 6) | (m)) |
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31 | #define UF11_EXPONENT_BIAS 15 |
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32 | #define UF11_EXPONENT_BITS 0x1F |
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33 | #define UF11_EXPONENT_SHIFT 6 |
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34 | #define UF11_MANTISSA_BITS 0x3F |
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35 | #define UF11_MANTISSA_SHIFT (23 - UF11_EXPONENT_SHIFT) |
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36 | #define UF11_MAX_EXPONENT (UF11_EXPONENT_BITS << UF11_EXPONENT_SHIFT) |
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37 | |||
38 | #define UF10(e, m) ((e << 5) | (m)) |
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39 | #define UF10_EXPONENT_BIAS 15 |
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40 | #define UF10_EXPONENT_BITS 0x1F |
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41 | #define UF10_EXPONENT_SHIFT 5 |
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42 | #define UF10_MANTISSA_BITS 0x1F |
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43 | #define UF10_MANTISSA_SHIFT (23 - UF10_EXPONENT_SHIFT) |
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44 | #define UF10_MAX_EXPONENT (UF10_EXPONENT_BITS << UF10_EXPONENT_SHIFT) |
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45 | |||
46 | #define F32_INFINITY 0x7f800000 |
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47 | |||
48 | static INLINE unsigned f32_to_uf11(float val) |
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49 | { |
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50 | union { |
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51 | float f; |
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52 | uint32_t ui; |
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53 | } f32 = {val}; |
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54 | |||
55 | uint16_t uf11 = 0; |
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56 | |||
57 | /* Decode little-endian 32-bit floating-point value */ |
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58 | int sign = (f32.ui >> 16) & 0x8000; |
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59 | /* Map exponent to the range [-127,128] */ |
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60 | int exponent = ((f32.ui >> 23) & 0xff) - 127; |
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61 | int mantissa = f32.ui & 0x007fffff; |
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62 | |||
63 | if (exponent == 128) { /* Infinity or NaN */ |
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64 | /* From the GL_EXT_packed_float spec: |
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65 | * |
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66 | * "Additionally: negative infinity is converted to zero; positive |
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67 | * infinity is converted to positive infinity; and both positive and |
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68 | * negative NaN are converted to positive NaN." |
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69 | */ |
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70 | uf11 = UF11_MAX_EXPONENT; |
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71 | if (mantissa) { |
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72 | uf11 |= 1; /* NaN */ |
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73 | } else { |
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74 | if (sign) |
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75 | uf11 = 0; /* 0.0 */ |
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76 | } |
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77 | } else if (sign) { |
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78 | return 0; |
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79 | } else if (val > 65024.0f) { |
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80 | /* From the GL_EXT_packed_float spec: |
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81 | * |
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82 | * "Likewise, finite positive values greater than 65024 (the maximum |
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83 | * finite representable unsigned 11-bit floating-point value) are |
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84 | * converted to 65024." |
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85 | */ |
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86 | uf11 = UF11(30, 63); |
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87 | } |
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88 | else if (exponent > -15) { /* Representable value */ |
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89 | exponent += UF11_EXPONENT_BIAS; |
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90 | mantissa >>= UF11_MANTISSA_SHIFT; |
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91 | uf11 = exponent << UF11_EXPONENT_SHIFT | mantissa; |
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92 | } |
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93 | |||
94 | return uf11; |
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95 | } |
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96 | |||
97 | static INLINE float uf11_to_f32(uint16_t val) |
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98 | { |
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99 | union { |
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100 | float f; |
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101 | uint32_t ui; |
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102 | } f32; |
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103 | |||
104 | int exponent = (val & 0x07c0) >> UF11_EXPONENT_SHIFT; |
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105 | int mantissa = (val & 0x003f); |
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106 | |||
107 | f32.f = 0.0; |
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108 | |||
109 | if (exponent == 0) { |
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110 | if (mantissa != 0) { |
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111 | const float scale = 1.0 / (1 << 20); |
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112 | f32.f = scale * mantissa; |
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113 | } |
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114 | } |
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115 | else if (exponent == 31) { |
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116 | f32.ui = F32_INFINITY | mantissa; |
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117 | } |
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118 | else { |
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119 | float scale, decimal; |
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120 | exponent -= 15; |
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121 | if (exponent < 0) { |
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122 | scale = 1.0f / (1 << -exponent); |
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123 | } |
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124 | else { |
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125 | scale = (float) (1 << exponent); |
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126 | } |
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127 | decimal = 1.0f + (float) mantissa / 64; |
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128 | f32.f = scale * decimal; |
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129 | } |
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130 | |||
131 | return f32.f; |
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132 | } |
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133 | |||
134 | static INLINE unsigned f32_to_uf10(float val) |
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135 | { |
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136 | union { |
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137 | float f; |
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138 | uint32_t ui; |
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139 | } f32 = {val}; |
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140 | |||
141 | uint16_t uf10 = 0; |
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142 | |||
143 | /* Decode little-endian 32-bit floating-point value */ |
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144 | int sign = (f32.ui >> 16) & 0x8000; |
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145 | /* Map exponent to the range [-127,128] */ |
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146 | int exponent = ((f32.ui >> 23) & 0xff) - 127; |
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147 | int mantissa = f32.ui & 0x007fffff; |
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148 | |||
149 | if (exponent == 128) { |
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150 | /* From the GL_EXT_packed_float spec: |
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151 | * |
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152 | * "Additionally: negative infinity is converted to zero; positive |
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153 | * infinity is converted to positive infinity; and both positive and |
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154 | * negative NaN are converted to positive NaN." |
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155 | */ |
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156 | uf10 = UF10_MAX_EXPONENT; |
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157 | if (mantissa) { |
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158 | uf10 |= 1; /* NaN */ |
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159 | } else { |
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160 | if (sign) |
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161 | uf10 = 0; /* 0.0 */ |
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162 | } |
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163 | } else if (sign) { |
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164 | return 0; |
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165 | } else if (val > 64512.0f) { |
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166 | /* From the GL_EXT_packed_float spec: |
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167 | * |
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168 | * "Likewise, finite positive values greater than 64512 (the maximum |
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169 | * finite representable unsigned 10-bit floating-point value) are |
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170 | * converted to 64512." |
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171 | */ |
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172 | uf10 = UF10(30, 31); |
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173 | } |
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174 | else if (exponent > -15) { /* Representable value */ |
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175 | exponent += UF10_EXPONENT_BIAS; |
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176 | mantissa >>= UF10_MANTISSA_SHIFT; |
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177 | uf10 = exponent << UF10_EXPONENT_SHIFT | mantissa; |
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178 | } |
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179 | |||
180 | return uf10; |
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181 | } |
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182 | |||
183 | static INLINE float uf10_to_f32(uint16_t val) |
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184 | { |
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185 | union { |
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186 | float f; |
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187 | uint32_t ui; |
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188 | } f32; |
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189 | |||
190 | int exponent = (val & 0x03e0) >> UF10_EXPONENT_SHIFT; |
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191 | int mantissa = (val & 0x001f); |
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192 | |||
193 | f32.f = 0.0; |
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194 | |||
195 | if (exponent == 0) { |
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196 | if (mantissa != 0) { |
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197 | const float scale = 1.0 / (1 << 20); |
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198 | f32.f = scale * mantissa; |
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199 | } |
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200 | } |
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201 | else if (exponent == 31) { |
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202 | f32.ui = F32_INFINITY | mantissa; |
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203 | } |
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204 | else { |
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205 | float scale, decimal; |
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206 | exponent -= 15; |
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207 | if (exponent < 0) { |
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208 | scale = 1.0f / (1 << -exponent); |
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209 | } |
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210 | else { |
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211 | scale = (float) (1 << exponent); |
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212 | } |
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213 | decimal = 1.0f + (float) mantissa / 32; |
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214 | f32.f = scale * decimal; |
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215 | } |
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216 | |||
217 | return f32.f; |
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218 | } |
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219 | |||
220 | static INLINE unsigned float3_to_r11g11b10f(const float rgb[3]) |
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221 | { |
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222 | return ( f32_to_uf11(rgb[0]) & 0x7ff) | |
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223 | ((f32_to_uf11(rgb[1]) & 0x7ff) << 11) | |
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224 | ((f32_to_uf10(rgb[2]) & 0x3ff) << 22); |
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225 | } |
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226 | |||
227 | static INLINE void r11g11b10f_to_float3(unsigned rgb, float retval[3]) |
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228 | { |
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229 | retval[0] = uf11_to_f32( rgb & 0x7ff); |
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230 | retval[1] = uf11_to_f32((rgb >> 11) & 0x7ff); |
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231 | retval[2] = uf10_to_f32((rgb >> 22) & 0x3ff); |
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232 | }><>><>><>><>>><>><>><>><>>><>><>><>><>><>><> |