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1//===-- Unittests for math_extras -----------------------------------------===//2//3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.4// See https://llvm.org/LICENSE.txt for license information.5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception6//7//===----------------------------------------------------------------------===//8 9#include "src/__support/integer_literals.h"10#include "src/__support/macros/config.h"11#include "src/__support/math_extras.h"12#include "src/__support/uint128.h" // UInt<128>13#include "test/UnitTest/Test.h"14 15namespace LIBC_NAMESPACE_DECL {16 17// TODO: add UInt<128> support.18using UnsignedTypesNoBigInt = testing::TypeList<19#if defined(LIBC_TYPES_HAS_INT128)20    __uint128_t,21#endif // LIBC_TYPES_HAS_INT12822    unsigned char, unsigned short, unsigned int, unsigned long,23    unsigned long long, UInt<128>>;24 25TEST(LlvmLibcBlockMathExtrasTest, mask_trailing_ones) {26  EXPECT_EQ(0_u8, (mask_leading_ones<uint8_t, 0>()));27  EXPECT_EQ(0_u8, (mask_trailing_ones<uint8_t, 0>()));28  EXPECT_EQ(0_u16, (mask_leading_ones<uint16_t, 0>()));29  EXPECT_EQ(0_u16, (mask_trailing_ones<uint16_t, 0>()));30  EXPECT_EQ(0_u32, (mask_leading_ones<uint32_t, 0>()));31  EXPECT_EQ(0_u32, (mask_trailing_ones<uint32_t, 0>()));32  EXPECT_EQ(0_u64, (mask_leading_ones<uint64_t, 0>()));33  EXPECT_EQ(0_u64, (mask_trailing_ones<uint64_t, 0>()));34 35  EXPECT_EQ(0x00000003_u32, (mask_trailing_ones<uint32_t, 2>()));36  EXPECT_EQ(0xC0000000_u32, (mask_leading_ones<uint32_t, 2>()));37 38  EXPECT_EQ(0x000007FF_u32, (mask_trailing_ones<uint32_t, 11>()));39  EXPECT_EQ(0xFFE00000_u32, (mask_leading_ones<uint32_t, 11>()));40 41  EXPECT_EQ(0xFFFFFFFF_u32, (mask_trailing_ones<uint32_t, 32>()));42  EXPECT_EQ(0xFFFFFFFF_u32, (mask_leading_ones<uint32_t, 32>()));43  EXPECT_EQ(0xFFFFFFFFFFFFFFFF_u64, (mask_trailing_ones<uint64_t, 64>()));44  EXPECT_EQ(0xFFFFFFFFFFFFFFFF_u64, (mask_leading_ones<uint64_t, 64>()));45 46  EXPECT_EQ(0x0000FFFFFFFFFFFF_u64, (mask_trailing_ones<uint64_t, 48>()));47  EXPECT_EQ(0xFFFFFFFFFFFF0000_u64, (mask_leading_ones<uint64_t, 48>()));48 49  EXPECT_EQ(0_u128, (mask_trailing_ones<UInt128, 0>()));50  EXPECT_EQ(0_u128, (mask_leading_ones<UInt128, 0>()));51 52  EXPECT_EQ(0x00000000000000007FFFFFFFFFFFFFFF_u128,53            (mask_trailing_ones<UInt128, 63>()));54  EXPECT_EQ(0xFFFFFFFFFFFFFFFE0000000000000000_u128,55            (mask_leading_ones<UInt128, 63>()));56 57  EXPECT_EQ(0x0000000000000000FFFFFFFFFFFFFFFF_u128,58            (mask_trailing_ones<UInt128, 64>()));59  EXPECT_EQ(0xFFFFFFFFFFFFFFFF0000000000000000_u128,60            (mask_leading_ones<UInt128, 64>()));61 62  EXPECT_EQ(0x0000000000000001FFFFFFFFFFFFFFFF_u128,63            (mask_trailing_ones<UInt128, 65>()));64  EXPECT_EQ(0xFFFFFFFFFFFFFFFF8000000000000000_u128,65            (mask_leading_ones<UInt128, 65>()));66 67  EXPECT_EQ(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF_u128,68            (mask_trailing_ones<UInt128, 128>()));69  EXPECT_EQ(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF_u128,70            (mask_leading_ones<UInt128, 128>()));71}72 73TYPED_TEST(LlvmLibcBitTest, FirstLeadingZero, UnsignedTypesNoBigInt) {74  EXPECT_EQ(first_leading_zero<T>(cpp::numeric_limits<T>::max()), 0);75  for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i) {76    auto lhs = T(~(T(1) << size_t(i)));77    EXPECT_EQ(first_leading_zero<T>(lhs), cpp::numeric_limits<T>::digits - i);78  }79}80 81TYPED_TEST(LlvmLibcBitTest, FirstLeadingOne, UnsignedTypesNoBigInt) {82  EXPECT_EQ(first_leading_one<T>(static_cast<T>(0)), 0);83  for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i) {84    auto lhs = T(T(1) << size_t(i));85    EXPECT_EQ(first_leading_one<T>(lhs), cpp::numeric_limits<T>::digits - i);86  }87}88 89TYPED_TEST(LlvmLibcBitTest, FirstTrailingZero, UnsignedTypesNoBigInt) {90  EXPECT_EQ(first_trailing_zero<T>(cpp::numeric_limits<T>::max()), 0);91  for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i) {92    auto lhs = T(~(T(1) << size_t(i)));93    EXPECT_EQ(first_trailing_zero<T>(lhs), i + 1);94  }95}96 97TYPED_TEST(LlvmLibcBitTest, FirstTrailingOne, UnsignedTypesNoBigInt) {98  EXPECT_EQ(first_trailing_one<T>(static_cast<T>(0)), 0);99  EXPECT_EQ(first_trailing_one<T>(cpp::numeric_limits<T>::max()), 1);100  for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i) {101    auto lhs = T(T(1) << size_t(i));102    EXPECT_EQ(first_trailing_one<T>(lhs), i + 1);103  }104}105 106TYPED_TEST(LlvmLibcBitTest, CountZeros, UnsignedTypesNoBigInt) {107  EXPECT_EQ(count_zeros(T(0)), cpp::numeric_limits<T>::digits);108  for (int i = 0; i != cpp::numeric_limits<T>::digits; ++i)109    EXPECT_EQ(count_zeros<T>(cpp::numeric_limits<T>::max() >> size_t(i)), i);110}111 112using UnsignedTypes = testing::TypeList<113#if defined(LIBC_TYPES_HAS_INT128)114    __uint128_t,115#endif116    unsigned char, unsigned short, unsigned int, unsigned long,117    unsigned long long>;118 119TYPED_TEST(LlvmLibcBlockMathExtrasTest, add_overflow, UnsignedTypes) {120  constexpr T ZERO = cpp::numeric_limits<T>::min();121  constexpr T ONE(1);122  constexpr T MAX = cpp::numeric_limits<T>::max();123  constexpr T BEFORE_MAX = MAX - 1;124 125  const struct {126    T lhs;127    T rhs;128    T sum;129    bool carry;130  } TESTS[] = {131      {ZERO, ONE, ONE, false},       // 0x00 + 0x01 = 0x01132      {BEFORE_MAX, ONE, MAX, false}, // 0xFE + 0x01 = 0xFF133      {MAX, ONE, ZERO, true},        // 0xFF + 0x01 = 0x00 (carry)134      {MAX, MAX, BEFORE_MAX, true},  // 0xFF + 0xFF = 0xFE (carry)135  };136  for (auto tc : TESTS) {137    T sum;138    bool carry = add_overflow<T>(tc.lhs, tc.rhs, sum);139    EXPECT_EQ(sum, tc.sum);140    EXPECT_EQ(carry, tc.carry);141  }142}143 144TYPED_TEST(LlvmLibcBlockMathExtrasTest, sub_overflow, UnsignedTypes) {145  constexpr T ZERO = cpp::numeric_limits<T>::min();146  constexpr T ONE(1);147  constexpr T MAX = cpp::numeric_limits<T>::max();148  constexpr T BEFORE_MAX = MAX - 1;149 150  const struct {151    T lhs;152    T rhs;153    T sub;154    bool carry;155  } TESTS[] = {156      {ONE, ZERO, ONE, false},      // 0x01 - 0x00 = 0x01157      {MAX, MAX, ZERO, false},      // 0xFF - 0xFF = 0x00158      {ZERO, ONE, MAX, true},       // 0x00 - 0x01 = 0xFF (carry)159      {BEFORE_MAX, MAX, MAX, true}, // 0xFE - 0xFF = 0xFF (carry)160  };161  for (auto tc : TESTS) {162    T sub;163    bool carry = sub_overflow<T>(tc.lhs, tc.rhs, sub);164    EXPECT_EQ(sub, tc.sub);165    EXPECT_EQ(carry, tc.carry);166  }167}168 169} // namespace LIBC_NAMESPACE_DECL170