1 | // |
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2 | // Lol Engine |
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3 | // |
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4 | // Copyright: (c) 2010-2011 Sam Hocevar <sam@hocevar.net> |
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5 | // This program is free software; you can redistribute it and/or |
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6 | // modify it under the terms of the Do What The Fuck You Want To |
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7 | // Public License, Version 2, as published by Sam Hocevar. See |
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8 | // http://www.wtfpl.net/ for more details. |
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9 | // |
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10 | |
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11 | #if defined HAVE_CONFIG_H |
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12 | # include "config.h" |
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13 | #endif |
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14 | |
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15 | #include <cmath> |
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16 | |
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17 | #include "core.h" |
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18 | #include "lol/unit.h" |
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19 | |
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20 | namespace lol |
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21 | { |
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22 | |
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23 | LOLUNIT_FIXTURE(HalfTest) |
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24 | { |
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25 | LOLUNIT_TEST(FloatToHalf) |
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26 | { |
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27 | for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++) |
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28 | { |
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29 | half a = (half)pairs[i].f; |
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30 | uint16_t b = pairs[i].x; |
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31 | LOLUNIT_SET_CONTEXT(i); |
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32 | LOLUNIT_ASSERT_EQUAL(a.bits, b); |
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33 | } |
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34 | } |
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35 | |
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36 | LOLUNIT_TEST(FloatToHalfAccurate) |
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37 | { |
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38 | for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++) |
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39 | { |
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40 | half a = half::makeaccurate(pairs[i].f); |
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41 | uint16_t b = pairs[i].x; |
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42 | LOLUNIT_SET_CONTEXT(i); |
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43 | LOLUNIT_ASSERT_EQUAL(a.bits, b); |
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44 | } |
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45 | } |
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46 | |
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47 | LOLUNIT_TEST(BitsToHalf) |
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48 | { |
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49 | for (unsigned int i = 0; i < 0x10000; i++) |
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50 | { |
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51 | half a = half::makebits(i); |
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52 | uint16_t b = i; |
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53 | LOLUNIT_SET_CONTEXT(i); |
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54 | LOLUNIT_ASSERT_EQUAL(a.bits, b); |
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55 | } |
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56 | } |
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57 | |
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58 | LOLUNIT_TEST(HalfIsNaN) |
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59 | { |
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60 | LOLUNIT_ASSERT(half::makebits(0x7c01).is_nan()); |
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61 | LOLUNIT_ASSERT(half::makebits(0xfc01).is_nan()); |
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62 | LOLUNIT_ASSERT(half::makebits(0x7e00).is_nan()); |
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63 | LOLUNIT_ASSERT(half::makebits(0xfe00).is_nan()); |
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64 | |
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65 | LOLUNIT_ASSERT(!half::makebits(0x7c00).is_nan()); |
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66 | LOLUNIT_ASSERT(!half::makebits(0xfc00).is_nan()); |
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67 | |
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68 | LOLUNIT_ASSERT(!half(0.0f).is_nan()); |
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69 | LOLUNIT_ASSERT(!half(-0.0f).is_nan()); |
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70 | LOLUNIT_ASSERT(!half(2.0f).is_nan()); |
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71 | LOLUNIT_ASSERT(!half(-2.0f).is_nan()); |
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72 | } |
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73 | |
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74 | LOLUNIT_TEST(HalfIsInf) |
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75 | { |
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76 | LOLUNIT_ASSERT(half(65536.0f).is_inf()); |
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77 | LOLUNIT_ASSERT(half(-65536.0f).is_inf()); |
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78 | |
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79 | LOLUNIT_ASSERT(!half(0.0f).is_inf()); |
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80 | LOLUNIT_ASSERT(!half(-0.0f).is_inf()); |
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81 | LOLUNIT_ASSERT(!half(65535.0f).is_inf()); |
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82 | LOLUNIT_ASSERT(!half(-65535.0f).is_inf()); |
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83 | |
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84 | LOLUNIT_ASSERT(half::makebits(0x7c00).is_inf()); |
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85 | LOLUNIT_ASSERT(half::makebits(0xfc00).is_inf()); |
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86 | |
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87 | LOLUNIT_ASSERT(!half::makebits(0x7e00).is_inf()); |
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88 | LOLUNIT_ASSERT(!half::makebits(0xfe00).is_inf()); |
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89 | } |
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90 | |
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91 | LOLUNIT_TEST(HalfIsFinite) |
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92 | { |
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93 | LOLUNIT_ASSERT(half(0.0f).is_finite()); |
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94 | LOLUNIT_ASSERT(half(-0.0f).is_finite()); |
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95 | LOLUNIT_ASSERT(half(65535.0f).is_finite()); |
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96 | LOLUNIT_ASSERT(half(-65535.0f).is_finite()); |
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97 | |
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98 | LOLUNIT_ASSERT(!half(65536.0f).is_finite()); |
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99 | LOLUNIT_ASSERT(!half(-65536.0f).is_finite()); |
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100 | |
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101 | LOLUNIT_ASSERT(!half::makebits(0x7c00).is_finite()); |
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102 | LOLUNIT_ASSERT(!half::makebits(0xfc00).is_finite()); |
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103 | |
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104 | LOLUNIT_ASSERT(!half::makebits(0x7e00).is_finite()); |
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105 | LOLUNIT_ASSERT(!half::makebits(0xfe00).is_finite()); |
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106 | } |
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107 | |
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108 | LOLUNIT_TEST(HalfIsNormal) |
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109 | { |
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110 | LOLUNIT_ASSERT(half(0.0f).is_normal()); |
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111 | LOLUNIT_ASSERT(half(-0.0f).is_normal()); |
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112 | LOLUNIT_ASSERT(half(65535.0f).is_normal()); |
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113 | LOLUNIT_ASSERT(half(-65535.0f).is_normal()); |
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114 | |
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115 | LOLUNIT_ASSERT(!half(65536.0f).is_normal()); |
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116 | LOLUNIT_ASSERT(!half(-65536.0f).is_normal()); |
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117 | |
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118 | LOLUNIT_ASSERT(!half::makebits(0x7c00).is_normal()); |
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119 | LOLUNIT_ASSERT(!half::makebits(0xfc00).is_normal()); |
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120 | |
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121 | LOLUNIT_ASSERT(!half::makebits(0x7e00).is_normal()); |
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122 | LOLUNIT_ASSERT(!half::makebits(0xfe00).is_normal()); |
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123 | } |
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124 | |
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125 | LOLUNIT_TEST(HalfClassify) |
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126 | { |
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127 | for (uint32_t i = 0; i < 0x10000; i++) |
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128 | { |
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129 | LOLUNIT_SET_CONTEXT(i); |
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130 | half h = half::makebits(i); |
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131 | if (h.is_nan()) |
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132 | { |
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133 | LOLUNIT_ASSERT(!h.is_inf()); |
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134 | LOLUNIT_ASSERT(!h.is_normal()); |
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135 | LOLUNIT_ASSERT(!h.is_finite()); |
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136 | } |
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137 | else if (h.is_inf()) |
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138 | { |
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139 | LOLUNIT_ASSERT(!h.is_normal()); |
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140 | LOLUNIT_ASSERT(!h.is_finite()); |
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141 | } |
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142 | else |
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143 | { |
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144 | LOLUNIT_ASSERT(h.is_finite()); |
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145 | } |
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146 | } |
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147 | } |
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148 | |
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149 | LOLUNIT_TEST(HalfToFloat) |
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150 | { |
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151 | for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++) |
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152 | { |
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153 | float a = (float)half::makebits(pairs[i].x); |
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154 | float b = pairs[i].f; |
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155 | LOLUNIT_SET_CONTEXT(i); |
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156 | LOLUNIT_ASSERT_EQUAL(a, b); |
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157 | } |
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158 | |
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159 | for (uint32_t i = 0; i < 0x10000; i++) |
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160 | { |
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161 | half h = half::makebits(i); |
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162 | float f = (float)h; |
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163 | half g = (half)f; |
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164 | LOLUNIT_SET_CONTEXT(i); |
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165 | if (h.is_nan()) |
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166 | { |
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167 | LOLUNIT_ASSERT(isnan(f)); |
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168 | LOLUNIT_ASSERT(g.is_nan()); |
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169 | } |
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170 | else |
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171 | { |
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172 | LOLUNIT_ASSERT(!isnan(f)); |
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173 | LOLUNIT_ASSERT_EQUAL(g.bits, h.bits); |
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174 | } |
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175 | } |
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176 | } |
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177 | |
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178 | LOLUNIT_TEST(HalfToInt) |
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179 | { |
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180 | LOLUNIT_ASSERT_EQUAL((int)(half)(0.0f), 0); |
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181 | LOLUNIT_ASSERT_EQUAL((int)(half)(-0.0f), 0); |
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182 | LOLUNIT_ASSERT_EQUAL((int)(half)(0.9f), 0); |
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183 | LOLUNIT_ASSERT_EQUAL((int)(half)(-0.9f), 0); |
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184 | LOLUNIT_ASSERT_EQUAL((int)(half)(1.0f), 1); |
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185 | LOLUNIT_ASSERT_EQUAL((int)(half)(-1.0f), -1); |
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186 | LOLUNIT_ASSERT_EQUAL((int)(half)(1.9f), 1); |
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187 | LOLUNIT_ASSERT_EQUAL((int)(half)(-1.9f), -1); |
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188 | LOLUNIT_ASSERT_EQUAL((int)(half)(65504.0f), 65504); |
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189 | LOLUNIT_ASSERT_EQUAL((int)(half)(-65504.0f), -65504); |
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190 | } |
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191 | |
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192 | LOLUNIT_TEST(FloatOpHalf) |
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193 | { |
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194 | half zero = 0; |
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195 | half one = 1; |
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196 | half two = 2; |
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197 | |
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198 | float a = zero + one; |
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199 | LOLUNIT_ASSERT_EQUAL(1.0f, a); |
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200 | a += zero; |
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201 | LOLUNIT_ASSERT_EQUAL(1.0f, a); |
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202 | a -= zero; |
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203 | LOLUNIT_ASSERT_EQUAL(1.0f, a); |
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204 | a *= one; |
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205 | LOLUNIT_ASSERT_EQUAL(1.0f, a); |
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206 | a /= one; |
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207 | LOLUNIT_ASSERT_EQUAL(1.0f, a); |
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208 | |
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209 | float b = one + zero; |
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210 | LOLUNIT_ASSERT_EQUAL(1.0f, b); |
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211 | b += one; |
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212 | LOLUNIT_ASSERT_EQUAL(2.0f, b); |
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213 | b *= two; |
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214 | LOLUNIT_ASSERT_EQUAL(4.0f, b); |
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215 | b -= two; |
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216 | LOLUNIT_ASSERT_EQUAL(2.0f, b); |
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217 | b /= two; |
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218 | LOLUNIT_ASSERT_EQUAL(1.0f, b); |
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219 | |
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220 | float c = one - zero; |
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221 | LOLUNIT_ASSERT_EQUAL(1.0f, c); |
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222 | |
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223 | float d = two - one; |
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224 | LOLUNIT_ASSERT_EQUAL(1.0f, d); |
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225 | |
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226 | float e = two + (-one); |
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227 | LOLUNIT_ASSERT_EQUAL(1.0f, e); |
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228 | |
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229 | float f = (two * two) / (one + one); |
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230 | LOLUNIT_ASSERT_EQUAL(2.0f, f); |
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231 | } |
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232 | |
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233 | LOLUNIT_TEST(HalfOpFloat) |
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234 | { |
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235 | half zero = 0; |
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236 | half one = 1; |
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237 | half two = 2; |
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238 | half four = 4; |
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239 | |
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240 | half a = one + 0.0f; |
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241 | LOLUNIT_ASSERT_EQUAL(one.bits, a.bits); |
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242 | a += 0.0f; |
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243 | LOLUNIT_ASSERT_EQUAL(one.bits, a.bits); |
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244 | a -= 0.0f; |
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245 | LOLUNIT_ASSERT_EQUAL(one.bits, a.bits); |
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246 | a *= 1.0f; |
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247 | LOLUNIT_ASSERT_EQUAL(one.bits, a.bits); |
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248 | a /= 1.0f; |
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249 | LOLUNIT_ASSERT_EQUAL(one.bits, a.bits); |
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250 | |
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251 | half b = one + 0.0f; |
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252 | LOLUNIT_ASSERT_EQUAL(one.bits, b.bits); |
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253 | b += 1.0f; |
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254 | LOLUNIT_ASSERT_EQUAL(two.bits, b.bits); |
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255 | b *= 2.0f; |
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256 | LOLUNIT_ASSERT_EQUAL(four.bits, b.bits); |
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257 | b -= 2.0f; |
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258 | LOLUNIT_ASSERT_EQUAL(two.bits, b.bits); |
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259 | b /= 2.0f; |
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260 | LOLUNIT_ASSERT_EQUAL(one.bits, b.bits); |
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261 | |
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262 | half c = 1.0f - zero; |
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263 | LOLUNIT_ASSERT_EQUAL(one.bits, c.bits); |
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264 | |
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265 | half d = 2.0f - one; |
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266 | LOLUNIT_ASSERT_EQUAL(one.bits, d.bits); |
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267 | |
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268 | half e = 2.0f + (-one); |
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269 | LOLUNIT_ASSERT_EQUAL(one.bits, e.bits); |
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270 | |
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271 | half f = (2.0f * two) / (1.0f + one); |
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272 | LOLUNIT_ASSERT_EQUAL(two.bits, f.bits); |
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273 | } |
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274 | |
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275 | struct TestPair { float f; uint16_t x; }; |
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276 | |
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277 | static TestPair const pairs[11]; |
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278 | }; |
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279 | |
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280 | HalfTest::TestPair const HalfTest::pairs[] = |
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281 | { |
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282 | /* All these values have exact half representations */ |
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283 | { 0.0f, 0x0000 }, |
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284 | { -0.0f, 0x8000 }, /* negative zero */ |
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285 | { 1.0f, 0x3c00 }, |
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286 | { -1.0f, 0xbc00 }, |
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287 | { 2.0f, 0x4000 }, |
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288 | { 0.5f, 0x3800 }, |
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289 | { 0.125f, 0x3000 }, |
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290 | { 15.9375f, 0x4bf8 }, |
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291 | { 31.0f / (1 << 14), 0x17c0 }, /* 0x1.fp-10 */ |
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292 | { 31.0f / (1 << 18), 0x07c0 }, /* 0x1.fp-14, normal float, denormal half */ |
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293 | { 31.0f / (1 << 19), 0x03e0 }, /* 0x1.fp-15, normal float, denormal half */ |
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294 | }; |
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295 | |
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296 | } /* namespace lol */ |
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297 | |
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