| 1 | /*
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| 2 | * SPDX-FileCopyrightText: 2019 Matthieu Riolo
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| 3 | *
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| 4 | * SPDX-License-Identifier: BSD-3-Clause
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| 5 | */
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| 6 |
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| 7 | #include <pcut/pcut.h>
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| 8 | #include <ieee_double.h>
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| 9 |
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| 10 | union {
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| 11 | uint64_t integer;
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| 12 | double floating;
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| 13 | } ieee_double_bits;
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| 14 |
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| 15 | const int EXP_BIAS = 1023;
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| 16 | const int EXP_BIAS_UNDERFLOWED = 1075;
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| 17 | const int SIGN_SHIFT = 52;
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| 18 | const uint64_t HIDDEN_BIT = 1ULL << SIGN_SHIFT;
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| 19 |
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| 20 | PCUT_INIT;
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| 21 |
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| 22 | PCUT_TEST_SUITE(ieee_double);
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| 23 |
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| 24 | PCUT_TEST(extract_ieee_sizeof_double)
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| 25 | {
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| 26 | PCUT_ASSERT_INT_EQUALS(8, sizeof(double));
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| 27 | }
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| 28 |
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| 29 | PCUT_TEST(extract_ieee_double_pos_infinity)
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| 30 | {
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| 31 | ieee_double_bits.integer = 0x7FF0000000000000ULL;
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| 32 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 33 |
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| 34 | PCUT_ASSERT_TRUE(d.is_special);
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| 35 | PCUT_ASSERT_FALSE(d.is_nan);
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| 36 | PCUT_ASSERT_TRUE(d.is_infinity);
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| 37 | PCUT_ASSERT_FALSE(d.is_negative);
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| 38 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 39 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 40 |
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| 41 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 42 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 43 | }
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| 44 |
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| 45 | PCUT_TEST(extract_ieee_double_neg_infinity)
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| 46 | {
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| 47 | ieee_double_bits.integer = 0xFFF0000000000000ULL;
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| 48 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 49 |
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| 50 | PCUT_ASSERT_TRUE(d.is_special);
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| 51 | PCUT_ASSERT_FALSE(d.is_nan);
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| 52 | PCUT_ASSERT_TRUE(d.is_infinity);
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| 53 | PCUT_ASSERT_TRUE(d.is_negative);
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| 54 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 55 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 56 |
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| 57 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 58 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 59 | }
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| 60 |
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| 61 | PCUT_TEST(extract_ieee_double_nan)
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| 62 | {
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| 63 | ieee_double_bits.integer = 0xFFFFFFFFFFFFFFFFULL;
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| 64 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 65 |
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| 66 | PCUT_ASSERT_TRUE(d.is_special);
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| 67 | PCUT_ASSERT_TRUE(d.is_nan);
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| 68 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 69 | PCUT_ASSERT_TRUE(d.is_negative);
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| 70 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 71 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 72 |
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| 73 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 74 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 75 | }
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| 76 |
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| 77 | PCUT_TEST(extract_ieee_double_pos_zero)
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| 78 | {
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| 79 | ieee_double_bits.integer = 0x0000000000000000ULL;
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| 80 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 81 |
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| 82 | PCUT_ASSERT_FALSE(d.is_special);
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| 83 | PCUT_ASSERT_FALSE(d.is_nan);
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| 84 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 85 | PCUT_ASSERT_FALSE(d.is_negative);
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| 86 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 87 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 88 |
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| 89 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 90 | }
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| 91 |
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| 92 | PCUT_TEST(extract_ieee_double_neg_zero)
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| 93 | {
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| 94 | ieee_double_bits.integer = 0x8000000000000000ULL;
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| 95 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 96 |
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| 97 | PCUT_ASSERT_FALSE(d.is_special);
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| 98 | PCUT_ASSERT_FALSE(d.is_nan);
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| 99 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 100 |
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| 101 | PCUT_ASSERT_TRUE(d.is_negative);
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| 102 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 103 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 104 |
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| 105 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 106 | }
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| 107 |
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| 108 | PCUT_TEST(extract_ieee_double_normal_pos_one)
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| 109 | {
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| 110 | ieee_double_bits.integer = 0x3FF0000000000000ULL;
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| 111 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 112 |
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| 113 | PCUT_ASSERT_FALSE(d.is_special);
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| 114 | PCUT_ASSERT_FALSE(d.is_nan);
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| 115 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 116 | PCUT_ASSERT_FALSE(d.is_negative);
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| 117 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 118 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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| 119 |
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| 120 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 121 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 122 | }
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| 123 |
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| 124 | PCUT_TEST(extract_ieee_double_normal_neg_one)
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| 125 | {
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| 126 | ieee_double_bits.integer = 0xBFF0000000000000ULL;
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| 127 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 128 |
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| 129 | PCUT_ASSERT_FALSE(d.is_special);
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| 130 | PCUT_ASSERT_FALSE(d.is_nan);
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| 131 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 132 | PCUT_ASSERT_TRUE(d.is_negative);
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| 133 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 134 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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| 135 |
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| 136 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 137 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 138 | }
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| 139 |
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| 140 | PCUT_TEST(extract_ieee_double_denormal_pos_smallest)
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| 141 | {
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| 142 | ieee_double_bits.integer = 0x0000000000000001ULL;
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| 143 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 144 |
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| 145 | PCUT_ASSERT_FALSE(d.is_special);
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| 146 | PCUT_ASSERT_FALSE(d.is_nan);
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| 147 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 148 | PCUT_ASSERT_FALSE(d.is_negative);
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| 149 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 150 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 151 |
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| 152 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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| 153 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 154 | }
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| 155 |
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| 156 | PCUT_TEST(extract_ieee_double_denormal_neg_smallest)
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| 157 | {
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| 158 | ieee_double_bits.integer = 0x8000000000000001ULL;
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| 159 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 160 |
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| 161 | PCUT_ASSERT_FALSE(d.is_special);
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| 162 | PCUT_ASSERT_FALSE(d.is_nan);
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| 163 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 164 | PCUT_ASSERT_TRUE(d.is_negative);
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| 165 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 166 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 167 |
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| 168 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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| 169 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 170 | }
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| 171 |
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| 172 | PCUT_TEST(extract_ieee_double_denormal_pos_largest)
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| 173 | {
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| 174 | ieee_double_bits.integer = 0x000FFFFFFFFFFFFFULL;
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| 175 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 176 |
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| 177 | PCUT_ASSERT_FALSE(d.is_special);
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| 178 | PCUT_ASSERT_FALSE(d.is_nan);
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| 179 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 180 | PCUT_ASSERT_FALSE(d.is_negative);
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| 181 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 182 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 183 |
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| 184 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand);
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| 185 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 186 | }
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| 187 |
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| 188 | PCUT_TEST(extract_ieee_double_denormal_neg_largest)
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| 189 | {
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| 190 | ieee_double_bits.integer = 0x800FFFFFFFFFFFFFULL;
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| 191 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 192 |
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| 193 | PCUT_ASSERT_FALSE(d.is_special);
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| 194 | PCUT_ASSERT_FALSE(d.is_nan);
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| 195 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 196 | PCUT_ASSERT_TRUE(d.is_negative);
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| 197 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 198 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 199 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand);
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| 200 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 201 | }
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| 202 |
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| 203 | PCUT_TEST(extract_ieee_double_normal_pos_smallest)
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| 204 | {
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| 205 | ieee_double_bits.integer = 0x0010000000000000ULL;
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| 206 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 207 |
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| 208 | PCUT_ASSERT_FALSE(d.is_special);
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| 209 | PCUT_ASSERT_FALSE(d.is_nan);
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| 210 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 211 | PCUT_ASSERT_FALSE(d.is_negative);
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| 212 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 213 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 214 |
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| 215 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 216 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 217 | }
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| 218 |
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| 219 | PCUT_TEST(extract_ieee_double_normal_neg_smallest)
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| 220 | {
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| 221 | ieee_double_bits.integer = 0x8010000000000000ULL;
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| 222 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 223 |
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| 224 | PCUT_ASSERT_FALSE(d.is_special);
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| 225 | PCUT_ASSERT_FALSE(d.is_nan);
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| 226 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 227 | PCUT_ASSERT_TRUE(d.is_negative);
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| 228 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 229 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 230 |
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| 231 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 232 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 233 | }
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| 234 |
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| 235 | PCUT_TEST(extract_ieee_double_normal_pos_largest)
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| 236 | {
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| 237 | ieee_double_bits.integer = 0x7FEFFFFFFFFFFFFFULL;
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| 238 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 239 |
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| 240 | PCUT_ASSERT_FALSE(d.is_special);
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| 241 | PCUT_ASSERT_FALSE(d.is_nan);
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| 242 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 243 | PCUT_ASSERT_FALSE(d.is_negative);
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| 244 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 245 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 246 |
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| 247 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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| 248 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 249 | }
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| 250 |
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| 251 | PCUT_TEST(extract_ieee_double_normal_neg_largest)
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| 252 | {
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| 253 | ieee_double_bits.integer = 0xFFEFFFFFFFFFFFFFULL;
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| 254 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 255 |
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| 256 | PCUT_ASSERT_FALSE(d.is_special);
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| 257 | PCUT_ASSERT_FALSE(d.is_nan);
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| 258 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 259 | PCUT_ASSERT_TRUE(d.is_negative);
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| 260 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 261 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 262 |
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| 263 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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| 264 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 265 | }
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| 266 |
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| 267 | PCUT_EXPORT(ieee_double);
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