/* * Copyright (c) 2019 Matthieu Riolo * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * - Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * - The name of the author may not be used to endorse or promote products * derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include #include union { uint64_t integer; double floating; } ieee_double_bits; const int EXP_BIAS = 1023; const int EXP_BIAS_UNDERFLOWED = 1075; const int SIGN_SHIFT = 52; const uint64_t HIDDEN_BIT = 1ULL << SIGN_SHIFT; PCUT_INIT; PCUT_TEST_SUITE(ieee_double); PCUT_TEST(extract_ieee_sizeof_double) { PCUT_ASSERT_INT_EQUALS(8, sizeof(double)); } PCUT_TEST(extract_ieee_double_pos_infinity) { ieee_double_bits.integer = 0x7FF0000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_TRUE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_TRUE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_neg_infinity) { ieee_double_bits.integer = 0xFFF0000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_TRUE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_TRUE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_nan) { ieee_double_bits.integer = 0xFFFFFFFFFFFFFFFFULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_TRUE(d.is_special); PCUT_ASSERT_TRUE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_pos_zero) { ieee_double_bits.integer = 0x0000000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand); } PCUT_TEST(extract_ieee_double_neg_zero) { ieee_double_bits.integer = 0x8000000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0, d.pos_val.significand); } PCUT_TEST(extract_ieee_double_normal_pos_one) { ieee_double_bits.integer = 0x3FF0000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_TRUE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_normal_neg_one) { ieee_double_bits.integer = 0xBFF0000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_TRUE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(EXP_BIAS - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_denormal_pos_smallest) { ieee_double_bits.integer = 0x0000000000000001ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_denormal_neg_smallest) { ieee_double_bits.integer = 0x8000000000000001ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(1, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_denormal_pos_largest) { ieee_double_bits.integer = 0x000FFFFFFFFFFFFFULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_denormal_neg_largest) { ieee_double_bits.integer = 0x800FFFFFFFFFFFFFULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_TRUE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_normal_pos_smallest) { ieee_double_bits.integer = 0x0010000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_normal_neg_smallest) { ieee_double_bits.integer = 0x8010000000000000ULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(1 - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_normal_pos_largest) { ieee_double_bits.integer = 0x7FEFFFFFFFFFFFFFULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_FALSE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_TEST(extract_ieee_double_normal_neg_largest) { ieee_double_bits.integer = 0xFFEFFFFFFFFFFFFFULL; ieee_double_t d = extract_ieee_double(ieee_double_bits.floating); PCUT_ASSERT_FALSE(d.is_special); PCUT_ASSERT_FALSE(d.is_nan); PCUT_ASSERT_FALSE(d.is_infinity); PCUT_ASSERT_TRUE(d.is_negative); PCUT_ASSERT_FALSE(d.is_denormal); PCUT_ASSERT_FALSE(d.is_accuracy_step); PCUT_ASSERT_INT_EQUALS(0xFFFFFFFFFFFFFULL + HIDDEN_BIT, d.pos_val.significand); PCUT_ASSERT_INT_EQUALS(0x7FEULL - EXP_BIAS_UNDERFLOWED, d.pos_val.exponent); } PCUT_EXPORT(ieee_double);