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// Copyright 2020 Google LLC
// SPDX-License-Identifier: Apache-2.0
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#ifndef __STDC_FORMAT_MACROS
#define __STDC_FORMAT_MACROS // before inttypes.h
#endif
#include <inttypes.h>
#include <stdio.h>
#include <cfloat> // FLT_MAX
#include <cmath> // std::abs
#include <type_traits>
// clang-format off
#undef HWY_TARGET_INCLUDE
#define HWY_TARGET_INCLUDE "hwy/contrib/math/math_test.cc"
#include "hwy/foreach_target.h" // IWYU pragma: keep
#include "hwy/contrib/math/math-inl.h"
#include "hwy/tests/test_util-inl.h"
// clang-format on
HWY_BEFORE_NAMESPACE();
namespace hwy {
namespace HWY_NAMESPACE {
template <class Out, class In>
inline Out BitCast(const In& in) {
static_assert(sizeof(Out) == sizeof(In), "");
Out out;
CopyBytes<sizeof(out)>(&in, &out);
return out;
}
template <class T, class D>
HWY_NOINLINE void TestMath(const std::string name, T (*fx1)(T),
Vec<D> (*fxN)(D, VecArg<Vec<D>>), D d, T min, T max,
uint64_t max_error_ulp) {
using UintT = MakeUnsigned<T>;
const UintT min_bits = BitCast<UintT>(min);
const UintT max_bits = BitCast<UintT>(max);
// If min is negative and max is positive, the range needs to be broken into
// two pieces, [+0, max] and [-0, min], otherwise [min, max].
int range_count = 1;
UintT ranges[2][2] = {{min_bits, max_bits}, {0, 0}};
if ((min < 0.0) && (max > 0.0)) {
ranges[0][0] = BitCast<UintT>(static_cast<T>(+0.0));
ranges[0][1] = max_bits;
ranges[1][0] = BitCast<UintT>(static_cast<T>(-0.0));
ranges[1][1] = min_bits;
range_count = 2;
}
uint64_t max_ulp = 0;
// Emulation is slower, so cannot afford as many.
constexpr UintT kSamplesPerRange = static_cast<UintT>(AdjustedReps(4000));
for (int range_index = 0; range_index < range_count; ++range_index) {
const UintT start = ranges[range_index][0];
const UintT stop = ranges[range_index][1];
const UintT step = HWY_MAX(1, ((stop - start) / kSamplesPerRange));
for (UintT value_bits = start; value_bits <= stop; value_bits += step) {
// For reasons unknown, the HWY_MAX is necessary on RVV, otherwise
// value_bits can be less than start, and thus possibly NaN.
const T value = BitCast<T>(HWY_MIN(HWY_MAX(start, value_bits), stop));
const T actual = GetLane(fxN(d, Set(d, value)));
const T expected = fx1(value);
// Skip small inputs and outputs on armv7, it flushes subnormals to zero.
#if HWY_TARGET == HWY_NEON && HWY_ARCH_ARM_V7
if ((std::abs(value) < 1e-37f) || (std::abs(expected) < 1e-37f)) {
continue;
}
#endif
const auto ulp = hwy::detail::ComputeUlpDelta(actual, expected);
max_ulp = HWY_MAX(max_ulp, ulp);
if (ulp > max_error_ulp) {
fprintf(stderr,
"%s: %s(%f) expected %f actual %f ulp %" PRIu64 " max ulp %u\n",
hwy::TypeName(T(), Lanes(d)).c_str(), name.c_str(), value,
expected, actual, static_cast<uint64_t>(ulp),
static_cast<uint32_t>(max_error_ulp));
}
}
}
fprintf(stderr, "%s: %s max_ulp %" PRIu64 "\n",
hwy::TypeName(T(), Lanes(d)).c_str(), name.c_str(), max_ulp);
HWY_ASSERT(max_ulp <= max_error_ulp);
}
#define DEFINE_MATH_TEST_FUNC(NAME) \
HWY_NOINLINE void TestAll##NAME() { \
ForFloatTypes(ForPartialVectors<Test##NAME>()); \
}
#undef DEFINE_MATH_TEST
#define DEFINE_MATH_TEST(NAME, F32x1, F32xN, F32_MIN, F32_MAX, F32_ERROR, \
F64x1, F64xN, F64_MIN, F64_MAX, F64_ERROR) \
struct Test##NAME { \
template <class T, class D> \
HWY_NOINLINE void operator()(T, D d) { \
if (sizeof(T) == 4) { \
TestMath<T, D>(HWY_STR(NAME), F32x1, F32xN, d, F32_MIN, F32_MAX, \
F32_ERROR); \
} else { \
TestMath<T, D>(HWY_STR(NAME), F64x1, F64xN, d, \
static_cast<T>(F64_MIN), static_cast<T>(F64_MAX), \
F64_ERROR); \
} \
} \
}; \
DEFINE_MATH_TEST_FUNC(NAME)
// Floating point values closest to but less than 1.0
const float kNearOneF = BitCast<float>(0x3F7FFFFF);
const double kNearOneD = BitCast<double>(0x3FEFFFFFFFFFFFFFULL);
// The discrepancy is unacceptably large for MSYS2 (less accurate libm?), so
// only increase the error tolerance there.
constexpr uint64_t Cos64ULP() {
#if defined(__MINGW32__)
return 23;
#else
return 3;
#endif
}
constexpr uint64_t ACosh32ULP() {
#if defined(__MINGW32__)
return 8;
#else
return 3;
#endif
}
// clang-format off
DEFINE_MATH_TEST(Acos,
std::acos, CallAcos, -1.0f, +1.0f, 3, // NEON is 3 instead of 2
std::acos, CallAcos, -1.0, +1.0, 2)
DEFINE_MATH_TEST(Acosh,
std::acosh, CallAcosh, +1.0f, +FLT_MAX, ACosh32ULP(),
std::acosh, CallAcosh, +1.0, +DBL_MAX, 3)
DEFINE_MATH_TEST(Asin,
std::asin, CallAsin, -1.0f, +1.0f, 4, // ARMv7 is 4 instead of 2
std::asin, CallAsin, -1.0, +1.0, 2)
DEFINE_MATH_TEST(Asinh,
std::asinh, CallAsinh, -FLT_MAX, +FLT_MAX, 3,
std::asinh, CallAsinh, -DBL_MAX, +DBL_MAX, 3)
DEFINE_MATH_TEST(Atan,
std::atan, CallAtan, -FLT_MAX, +FLT_MAX, 3,
std::atan, CallAtan, -DBL_MAX, +DBL_MAX, 3)
DEFINE_MATH_TEST(Atanh,
std::atanh, CallAtanh, -kNearOneF, +kNearOneF, 4, // NEON is 4 instead of 3
std::atanh, CallAtanh, -kNearOneD, +kNearOneD, 3)
DEFINE_MATH_TEST(Cos,
std::cos, CallCos, -39000.0f, +39000.0f, 3,
std::cos, CallCos, -39000.0, +39000.0, Cos64ULP())
DEFINE_MATH_TEST(Exp,
std::exp, CallExp, -FLT_MAX, +104.0f, 1,
std::exp, CallExp, -DBL_MAX, +104.0, 1)
DEFINE_MATH_TEST(Expm1,
std::expm1, CallExpm1, -FLT_MAX, +104.0f, 4,
std::expm1, CallExpm1, -DBL_MAX, +104.0, 4)
DEFINE_MATH_TEST(Log,
std::log, CallLog, +FLT_MIN, +FLT_MAX, 1,
std::log, CallLog, +DBL_MIN, +DBL_MAX, 1)
DEFINE_MATH_TEST(Log10,
std::log10, CallLog10, +FLT_MIN, +FLT_MAX, 2,
std::log10, CallLog10, +DBL_MIN, +DBL_MAX, 2)
DEFINE_MATH_TEST(Log1p,
std::log1p, CallLog1p, +0.0f, +1e37f, 3, // NEON is 3 instead of 2
std::log1p, CallLog1p, +0.0, +DBL_MAX, 2)
DEFINE_MATH_TEST(Log2,
std::log2, CallLog2, +FLT_MIN, +FLT_MAX, 2,
std::log2, CallLog2, +DBL_MIN, +DBL_MAX, 2)
DEFINE_MATH_TEST(Sin,
std::sin, CallSin, -39000.0f, +39000.0f, 3,
std::sin, CallSin, -39000.0, +39000.0, 4) // MSYS is 4 instead of 3
DEFINE_MATH_TEST(Sinh,
std::sinh, CallSinh, -80.0f, +80.0f, 4,
std::sinh, CallSinh, -709.0, +709.0, 4)
DEFINE_MATH_TEST(Tanh,
std::tanh, CallTanh, -FLT_MAX, +FLT_MAX, 4,
std::tanh, CallTanh, -DBL_MAX, +DBL_MAX, 4)
// clang-format on
// NOLINTNEXTLINE(google-readability-namespace-comments)
} // namespace HWY_NAMESPACE
} // namespace hwy
HWY_AFTER_NAMESPACE();
#if HWY_ONCE
namespace hwy {
HWY_BEFORE_TEST(HwyMathTest);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAcos);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAcosh);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAsin);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAsinh);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAtan);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllAtanh);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllCos);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllExp);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllExpm1);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllLog);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllLog10);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllLog1p);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllLog2);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllSin);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllSinh);
HWY_EXPORT_AND_TEST_P(HwyMathTest, TestAllTanh);
} // namespace hwy
#endif
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