[d64303b] | 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 | /*
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| 33 | * This is a test for double precision 64-bit
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| 34 | * floating numbers which are specified
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| 35 | * according to IE754
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| 36 | *
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| 37 | * A very useful JS calculator for IEEE 754 numbers
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| 38 | * for 64bits
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| 39 | * weitz.de/ieee/
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| 40 | *
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| 41 | * for 32 bits
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| 42 | * www.h-schmidt.net/FloatConverter/IEEE754.html
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| 43 | */
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| 44 |
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| 45 | union {
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| 46 | uint64_t integer;
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| 47 | double floating;
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| 48 | } ieee_double_bits;
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| 49 |
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| 50 | const int EXP_BIAS = 1023;
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| 51 | const int EXP_BIAS_UNDERFLOWED = 1075;
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| 52 | const int SIGN_SHIFT = 52;
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| 53 | const uint64_t HIDDEN_BIT = 1ULL << SIGN_SHIFT;
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| 54 |
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| 55 | PCUT_INIT;
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| 56 |
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| 57 | PCUT_TEST_SUITE(ieee_double);
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| 58 |
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| 59 | PCUT_TEST(extract_ieee_sizeof_double)
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| 60 | {
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| 61 | PCUT_ASSERT_INT_EQUALS(8, sizeof(double));
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| 62 | }
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| 63 |
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| 64 | PCUT_TEST(extract_ieee_double_pos_infinity)
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| 65 | {
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| 66 | ieee_double_bits.integer = 0x7FF0000000000000ULL;
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| 67 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 68 |
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| 69 | PCUT_ASSERT_TRUE(d.is_special);
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| 70 | PCUT_ASSERT_FALSE(d.is_nan);
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| 71 | PCUT_ASSERT_TRUE(d.is_infinity);
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| 72 | PCUT_ASSERT_FALSE(d.is_negative);
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| 73 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 74 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 75 |
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| 76 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 77 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 78 | }
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| 79 |
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| 80 | PCUT_TEST(extract_ieee_double_neg_infinity)
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| 81 | {
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| 82 | ieee_double_bits.integer = 0xFFF0000000000000ULL;
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| 83 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 84 |
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| 85 | PCUT_ASSERT_TRUE(d.is_special);
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| 86 | PCUT_ASSERT_FALSE(d.is_nan);
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| 87 | PCUT_ASSERT_TRUE(d.is_infinity);
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| 88 | PCUT_ASSERT_TRUE(d.is_negative);
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| 89 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 90 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 91 |
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| 92 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 93 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 94 | }
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| 95 |
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| 96 | PCUT_TEST(extract_ieee_double_nan)
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| 97 | {
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| 98 | ieee_double_bits.integer = 0xFFFFFFFFFFFFFFFFULL;
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| 99 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 100 |
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| 101 | PCUT_ASSERT_TRUE(d.is_special);
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| 102 | PCUT_ASSERT_TRUE(d.is_nan);
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| 103 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 104 | PCUT_ASSERT_TRUE(d.is_negative);
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| 105 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 106 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 107 |
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| 108 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 109 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent);
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| 110 | }
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| 111 |
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| 112 | PCUT_TEST(extract_ieee_double_pos_zero)
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| 113 | {
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| 114 | ieee_double_bits.integer = 0x0000000000000000ULL;
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| 115 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 116 |
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| 117 | PCUT_ASSERT_FALSE(d.is_special);
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| 118 | PCUT_ASSERT_FALSE(d.is_nan);
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| 119 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 120 | PCUT_ASSERT_FALSE(d.is_negative);
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| 121 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 122 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 123 |
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| 124 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 125 | PCUT_ASSERT_INT_EQUALS(-EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 126 | }
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| 127 |
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| 128 | PCUT_TEST(extract_ieee_double_neg_zero)
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| 129 | {
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| 130 | ieee_double_bits.integer = 0x8000000000000000ULL;
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| 131 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 132 |
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| 133 | PCUT_ASSERT_FALSE(d.is_special);
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| 134 | PCUT_ASSERT_FALSE(d.is_nan);
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| 135 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 136 |
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| 137 | PCUT_ASSERT_TRUE(d.is_negative);
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| 138 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 139 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 140 |
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| 141 | PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand);
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| 142 | PCUT_ASSERT_INT_EQUALS(-EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 143 | }
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| 144 |
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| 145 | PCUT_TEST(extract_ieee_double_normal_pos_one)
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| 146 | {
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| 147 | ieee_double_bits.integer = 0x3FF0000000000000ULL;
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| 148 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 149 |
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| 150 | PCUT_ASSERT_FALSE(d.is_special);
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| 151 | PCUT_ASSERT_FALSE(d.is_nan);
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| 152 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 153 | PCUT_ASSERT_FALSE(d.is_negative);
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| 154 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 155 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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| 156 |
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| 157 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 158 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 159 | }
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| 160 |
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| 161 | PCUT_TEST(extract_ieee_double_normal_neg_one)
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| 162 | {
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| 163 | ieee_double_bits.integer = 0xBFF0000000000000ULL;
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| 164 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 165 |
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| 166 | PCUT_ASSERT_FALSE(d.is_special);
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| 167 | PCUT_ASSERT_FALSE(d.is_nan);
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| 168 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 169 | PCUT_ASSERT_TRUE(d.is_negative);
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| 170 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 171 | PCUT_ASSERT_TRUE(d.is_accuracy_step);
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| 172 |
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| 173 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 174 | PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 175 | }
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| 176 |
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| 177 | PCUT_TEST(extract_ieee_double_denormal_pos_smallest)
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| 178 | {
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| 179 | ieee_double_bits.integer = 0x0000000000000001ULL;
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| 180 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 181 |
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| 182 | PCUT_ASSERT_FALSE(d.is_special);
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| 183 | PCUT_ASSERT_FALSE(d.is_nan);
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| 184 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 185 | PCUT_ASSERT_FALSE(d.is_negative);
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| 186 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 187 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 188 |
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| 189 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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| 190 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 191 | }
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| 192 |
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| 193 | PCUT_TEST(extract_ieee_double_denormal_neg_smallest)
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| 194 | {
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| 195 | ieee_double_bits.integer = 0x8000000000000001ULL;
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| 196 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 197 |
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| 198 | PCUT_ASSERT_FALSE(d.is_special);
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| 199 | PCUT_ASSERT_FALSE(d.is_nan);
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| 200 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 201 | PCUT_ASSERT_TRUE(d.is_negative);
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| 202 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 203 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 204 |
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| 205 | PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand);
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| 206 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 207 | }
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| 208 |
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| 209 | PCUT_TEST(extract_ieee_double_denormal_pos_largest)
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| 210 | {
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| 211 | ieee_double_bits.integer = 0x000FFFFFFFFFFFFFULL;
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| 212 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 213 |
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| 214 | PCUT_ASSERT_FALSE(d.is_special);
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| 215 | PCUT_ASSERT_FALSE(d.is_nan);
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| 216 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 217 | PCUT_ASSERT_FALSE(d.is_negative);
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| 218 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 219 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 220 |
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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_denormal_neg_largest)
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| 226 | {
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| 227 | ieee_double_bits.integer = 0x800FFFFFFFFFFFFFULL;
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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_TRUE(d.is_negative);
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| 234 | PCUT_ASSERT_TRUE(d.is_denormal);
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| 235 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 236 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand);
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| 237 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 238 | }
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| 239 |
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| 240 | PCUT_TEST(extract_ieee_double_normal_pos_smallest)
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| 241 | {
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| 242 | ieee_double_bits.integer = 0x0010000000000000ULL;
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| 243 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 244 |
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| 245 | PCUT_ASSERT_FALSE(d.is_special);
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| 246 | PCUT_ASSERT_FALSE(d.is_nan);
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| 247 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 248 | PCUT_ASSERT_FALSE(d.is_negative);
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| 249 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 250 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 251 |
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| 252 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 253 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 254 | }
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| 255 |
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| 256 | PCUT_TEST(extract_ieee_double_normal_neg_smallest)
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| 257 | {
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| 258 | ieee_double_bits.integer = 0x8010000000000000ULL;
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| 259 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 260 |
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| 261 | PCUT_ASSERT_FALSE(d.is_special);
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| 262 | PCUT_ASSERT_FALSE(d.is_nan);
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| 263 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 264 | PCUT_ASSERT_TRUE(d.is_negative);
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| 265 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 266 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 267 |
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| 268 | PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand);
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| 269 | PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 270 | }
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| 271 |
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| 272 | PCUT_TEST(extract_ieee_double_normal_pos_largest)
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| 273 | {
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| 274 | ieee_double_bits.integer = 0x7FEFFFFFFFFFFFFFULL;
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| 275 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 276 |
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| 277 | PCUT_ASSERT_FALSE(d.is_special);
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| 278 | PCUT_ASSERT_FALSE(d.is_nan);
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| 279 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 280 | PCUT_ASSERT_FALSE(d.is_negative);
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| 281 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 282 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 283 |
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| 284 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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| 285 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 286 | }
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| 287 |
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| 288 | PCUT_TEST(extract_ieee_double_normal_neg_largest)
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| 289 | {
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| 290 | ieee_double_bits.integer = 0xFFEFFFFFFFFFFFFFULL;
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| 291 | ieee_double_t d = extract_ieee_double(ieee_double_bits.floating);
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| 292 |
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| 293 | PCUT_ASSERT_FALSE(d.is_special);
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| 294 | PCUT_ASSERT_FALSE(d.is_nan);
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| 295 | PCUT_ASSERT_FALSE(d.is_infinity);
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| 296 | PCUT_ASSERT_TRUE(d.is_negative);
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| 297 | PCUT_ASSERT_FALSE(d.is_denormal);
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| 298 | PCUT_ASSERT_FALSE(d.is_accuracy_step);
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| 299 |
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| 300 | PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand);
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| 301 | PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent);
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| 302 | }
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| 303 |
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| 304 | PCUT_EXPORT(ieee_double);
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