1 | /*
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2 | * Copyright (c) 2019 Matthieu Riolo
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3 | * All rights reserved.
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4 | *
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5 | * Redistribution and use in source and binary forms, with or without
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6 | * modification, are permitted provided that the following conditions
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7 | * are met:
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8 | *
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9 | * - Redistributions of source code must retain the above copyright
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10 | * notice, this list of conditions and the following disclaimer.
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11 | * - Redistributions in binary form must reproduce the above copyright
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12 | * notice, this list of conditions and the following disclaimer in the
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13 | * documentation and/or other materials provided with the distribution.
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14 | * - The name of the author may not be used to endorse or promote products
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15 | * derived from this software without specific prior written permission.
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16 | *
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17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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27 | */
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28 |
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29 | #include <pcut/pcut.h>
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30 | #include <ieee_double.h>
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31 |
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32 | union {
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33 | uint64_t integer;
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34 | double floating;
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35 | } ieee_double_bits;
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36 |
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37 | const int EXP_BIAS = 1023;
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38 | const int EXP_BIAS_UNDERFLOWED = 1075;
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39 | const int SIGN_SHIFT = 52;
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40 | const uint64_t HIDDEN_BIT = 1ULL << SIGN_SHIFT;
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41 |
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42 | PCUT_INIT;
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43 |
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44 | PCUT_TEST_SUITE(ieee_double);
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45 |
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46 | PCUT_TEST(extract_ieee_sizeof_double)
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47 | {
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48 | PCUT_ASSERT_INT_EQUALS(8, sizeof(double));
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49 | }
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50 |
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51 | PCUT_TEST(extract_ieee_double_pos_infinity)
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52 | {
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53 | ieee_double_bits.integer = 0x7FF0000000000000ULL;
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54 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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55 |
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56 | PCUT_ASSERT_TRUE(d.is_special);
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57 | PCUT_ASSERT_FALSE(d.is_nan);
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58 | PCUT_ASSERT_TRUE(d.is_infinity);
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59 | PCUT_ASSERT_FALSE(d.is_negative);
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60 | PCUT_ASSERT_TRUE(d.is_denormal);
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61 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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62 |
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63 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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64 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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65 | }
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66 |
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67 | PCUT_TEST(extract_ieee_double_neg_infinity)
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68 | {
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69 | ieee_double_bits.integer = 0xFFF0000000000000ULL;
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70 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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71 |
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72 | PCUT_ASSERT_TRUE(d.is_special);
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73 | PCUT_ASSERT_FALSE(d.is_nan);
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74 | PCUT_ASSERT_TRUE(d.is_infinity);
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75 | PCUT_ASSERT_TRUE(d.is_negative);
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76 | PCUT_ASSERT_TRUE(d.is_denormal);
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77 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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78 |
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79 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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80 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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81 | }
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82 |
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83 | PCUT_TEST(extract_ieee_double_nan)
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84 | {
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85 | ieee_double_bits.integer = 0xFFFFFFFFFFFFFFFFULL;
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86 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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87 |
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88 | PCUT_ASSERT_TRUE(d.is_special);
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89 | PCUT_ASSERT_TRUE(d.is_nan);
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90 | PCUT_ASSERT_FALSE(d.is_infinity);
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91 | PCUT_ASSERT_TRUE(d.is_negative);
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92 | PCUT_ASSERT_TRUE(d.is_denormal);
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93 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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94 |
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95 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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96 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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97 | }
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98 |
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99 | PCUT_TEST(extract_ieee_double_pos_zero)
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100 | {
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101 | ieee_double_bits.integer = 0x0000000000000000ULL;
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102 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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103 |
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104 | PCUT_ASSERT_FALSE(d.is_special);
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105 | PCUT_ASSERT_FALSE(d.is_nan);
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106 | PCUT_ASSERT_FALSE(d.is_infinity);
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107 | PCUT_ASSERT_FALSE(d.is_negative);
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108 | PCUT_ASSERT_TRUE(d.is_denormal);
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109 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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110 |
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111 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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112 | }
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113 |
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114 | PCUT_TEST(extract_ieee_double_neg_zero)
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115 | {
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116 | ieee_double_bits.integer = 0x8000000000000000ULL;
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117 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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118 |
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119 | PCUT_ASSERT_FALSE(d.is_special);
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120 | PCUT_ASSERT_FALSE(d.is_nan);
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121 | PCUT_ASSERT_FALSE(d.is_infinity);
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122 |
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123 | PCUT_ASSERT_TRUE(d.is_negative);
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124 | PCUT_ASSERT_TRUE(d.is_denormal);
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125 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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126 |
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127 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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128 | }
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129 |
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130 | PCUT_TEST(extract_ieee_double_normal_pos_one)
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131 | {
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132 | ieee_double_bits.integer = 0x3FF0000000000000ULL;
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133 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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134 |
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135 | PCUT_ASSERT_FALSE(d.is_special);
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136 | PCUT_ASSERT_FALSE(d.is_nan);
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137 | PCUT_ASSERT_FALSE(d.is_infinity);
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138 | PCUT_ASSERT_FALSE(d.is_negative);
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139 | PCUT_ASSERT_FALSE(d.is_denormal);
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140 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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141 |
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142 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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143 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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144 | }
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145 |
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146 | PCUT_TEST(extract_ieee_double_normal_neg_one)
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147 | {
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148 | ieee_double_bits.integer = 0xBFF0000000000000ULL;
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149 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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150 |
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151 | PCUT_ASSERT_FALSE(d.is_special);
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152 | PCUT_ASSERT_FALSE(d.is_nan);
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153 | PCUT_ASSERT_FALSE(d.is_infinity);
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154 | PCUT_ASSERT_TRUE(d.is_negative);
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155 | PCUT_ASSERT_FALSE(d.is_denormal);
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156 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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157 |
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158 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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159 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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160 | }
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161 |
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162 | PCUT_TEST(extract_ieee_double_denormal_pos_smallest)
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163 | {
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164 | ieee_double_bits.integer = 0x0000000000000001ULL;
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165 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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166 |
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167 | PCUT_ASSERT_FALSE(d.is_special);
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168 | PCUT_ASSERT_FALSE(d.is_nan);
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169 | PCUT_ASSERT_FALSE(d.is_infinity);
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170 | PCUT_ASSERT_FALSE(d.is_negative);
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171 | PCUT_ASSERT_TRUE(d.is_denormal);
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172 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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173 |
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174 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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175 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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176 | }
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177 |
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178 | PCUT_TEST(extract_ieee_double_denormal_neg_smallest)
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179 | {
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180 | ieee_double_bits.integer = 0x8000000000000001ULL;
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181 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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182 |
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183 | PCUT_ASSERT_FALSE(d.is_special);
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184 | PCUT_ASSERT_FALSE(d.is_nan);
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185 | PCUT_ASSERT_FALSE(d.is_infinity);
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186 | PCUT_ASSERT_TRUE(d.is_negative);
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187 | PCUT_ASSERT_TRUE(d.is_denormal);
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188 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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189 |
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190 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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191 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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192 | }
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193 |
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194 | PCUT_TEST(extract_ieee_double_denormal_pos_largest)
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195 | {
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196 | ieee_double_bits.integer = 0x000FFFFFFFFFFFFFULL;
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197 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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198 |
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199 | PCUT_ASSERT_FALSE(d.is_special);
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200 | PCUT_ASSERT_FALSE(d.is_nan);
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201 | PCUT_ASSERT_FALSE(d.is_infinity);
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202 | PCUT_ASSERT_FALSE(d.is_negative);
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203 | PCUT_ASSERT_TRUE(d.is_denormal);
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204 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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205 |
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206 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand);
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207 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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208 | }
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209 |
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210 | PCUT_TEST(extract_ieee_double_denormal_neg_largest)
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211 | {
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212 | ieee_double_bits.integer = 0x800FFFFFFFFFFFFFULL;
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213 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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214 |
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215 | PCUT_ASSERT_FALSE(d.is_special);
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216 | PCUT_ASSERT_FALSE(d.is_nan);
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217 | PCUT_ASSERT_FALSE(d.is_infinity);
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218 | PCUT_ASSERT_TRUE(d.is_negative);
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219 | PCUT_ASSERT_TRUE(d.is_denormal);
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220 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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221 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand);
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222 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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223 | }
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224 |
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225 | PCUT_TEST(extract_ieee_double_normal_pos_smallest)
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226 | {
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227 | ieee_double_bits.integer = 0x0010000000000000ULL;
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228 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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229 |
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230 | PCUT_ASSERT_FALSE(d.is_special);
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231 | PCUT_ASSERT_FALSE(d.is_nan);
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232 | PCUT_ASSERT_FALSE(d.is_infinity);
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233 | PCUT_ASSERT_FALSE(d.is_negative);
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234 | PCUT_ASSERT_FALSE(d.is_denormal);
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235 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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236 |
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237 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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238 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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239 | }
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240 |
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241 | PCUT_TEST(extract_ieee_double_normal_neg_smallest)
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242 | {
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243 | ieee_double_bits.integer = 0x8010000000000000ULL;
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244 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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245 |
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246 | PCUT_ASSERT_FALSE(d.is_special);
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247 | PCUT_ASSERT_FALSE(d.is_nan);
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248 | PCUT_ASSERT_FALSE(d.is_infinity);
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249 | PCUT_ASSERT_TRUE(d.is_negative);
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250 | PCUT_ASSERT_FALSE(d.is_denormal);
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251 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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252 |
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253 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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254 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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255 | }
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256 |
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257 | PCUT_TEST(extract_ieee_double_normal_pos_largest)
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258 | {
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259 | ieee_double_bits.integer = 0x7FEFFFFFFFFFFFFFULL;
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260 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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261 |
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262 | PCUT_ASSERT_FALSE(d.is_special);
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263 | PCUT_ASSERT_FALSE(d.is_nan);
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264 | PCUT_ASSERT_FALSE(d.is_infinity);
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265 | PCUT_ASSERT_FALSE(d.is_negative);
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266 | PCUT_ASSERT_FALSE(d.is_denormal);
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267 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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268 |
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269 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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270 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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271 | }
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272 |
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273 | PCUT_TEST(extract_ieee_double_normal_neg_largest)
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274 | {
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275 | ieee_double_bits.integer = 0xFFEFFFFFFFFFFFFFULL;
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276 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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277 |
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278 | PCUT_ASSERT_FALSE(d.is_special);
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279 | PCUT_ASSERT_FALSE(d.is_nan);
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280 | PCUT_ASSERT_FALSE(d.is_infinity);
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281 | PCUT_ASSERT_TRUE(d.is_negative);
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282 | PCUT_ASSERT_FALSE(d.is_denormal);
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283 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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284 |
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285 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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286 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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287 | }
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288 |
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289 | PCUT_EXPORT(ieee_double);
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