//===-- Unittests for powf ------------------------------------------------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #include "hdr/math_macros.h" #include "src/__support/FPUtil/FPBits.h" #include "src/math/powf.h" #include "test/UnitTest/FPMatcher.h" #include "test/UnitTest/Test.h" #include using LlvmLibcPowfTest = LIBC_NAMESPACE::testing::FPTest; using LIBC_NAMESPACE::fputil::testing::ForceRoundingMode; using LIBC_NAMESPACE::fputil::testing::RoundingMode; TEST_F(LlvmLibcPowfTest, SpecialNumbers) { constexpr float neg_odd_integer = -3.0f; constexpr float neg_even_integer = -6.0f; constexpr float neg_non_integer = -1.1f; constexpr float pos_odd_integer = 5.0f; constexpr float pos_even_integer = 8.0f; constexpr float pos_non_integer = 1.3f; constexpr float one_half = 0.5f; for (int i = 0; i < N_ROUNDING_MODES; ++i) { ForceRoundingMode __r(ROUNDING_MODES[i]); if (!__r.success) continue; // pow( 0.0f, exponent ) EXPECT_FP_EQ_WITH_EXCEPTION( inf, LIBC_NAMESPACE::powf(zero, neg_odd_integer), FE_DIVBYZERO); EXPECT_FP_EQ_WITH_EXCEPTION( inf, LIBC_NAMESPACE::powf(zero, neg_even_integer), FE_DIVBYZERO); EXPECT_FP_EQ_WITH_EXCEPTION( inf, LIBC_NAMESPACE::powf(zero, neg_non_integer), FE_DIVBYZERO); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(zero, pos_odd_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(zero, pos_even_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(zero, pos_non_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(zero, one_half)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(zero, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(zero, neg_zero)); EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::powf(zero, inf)); EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::powf(zero, neg_inf), FE_DIVBYZERO); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(zero, aNaN)); // pow( -0.0f, exponent ) EXPECT_FP_EQ_WITH_EXCEPTION( neg_inf, LIBC_NAMESPACE::powf(neg_zero, neg_odd_integer), FE_DIVBYZERO); EXPECT_FP_EQ_WITH_EXCEPTION( inf, LIBC_NAMESPACE::powf(neg_zero, neg_even_integer), FE_DIVBYZERO); EXPECT_FP_EQ_WITH_EXCEPTION( inf, LIBC_NAMESPACE::powf(neg_zero, neg_non_integer), FE_DIVBYZERO); EXPECT_FP_EQ(neg_zero, LIBC_NAMESPACE::powf(neg_zero, pos_odd_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_zero, pos_even_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_zero, pos_non_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_zero, one_half)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(neg_zero, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(neg_zero, neg_zero)); EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::powf(neg_zero, inf)); EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::powf(neg_zero, neg_inf), FE_DIVBYZERO); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(neg_zero, aNaN)); // pow( 1.0f, exponent ) EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, neg_zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, 1.0f)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, -1.0f)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, neg_odd_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, neg_even_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, neg_non_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, pos_odd_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, pos_even_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, pos_non_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, inf)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, neg_inf)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(1.0f, aNaN)); // pow( 1.0f, exponent ) EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, neg_zero)); EXPECT_FP_EQ(-1.0f, LIBC_NAMESPACE::powf(-1.0f, 1.0f)); EXPECT_FP_EQ(-1.0f, LIBC_NAMESPACE::powf(-1.0f, -1.0f)); EXPECT_FP_EQ(-1.0f, LIBC_NAMESPACE::powf(-1.0f, neg_odd_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, neg_even_integer)); EXPECT_FP_IS_NAN_WITH_EXCEPTION( LIBC_NAMESPACE::powf(-1.0f, neg_non_integer), FE_INVALID); EXPECT_FP_EQ(-1.0f, LIBC_NAMESPACE::powf(-1.0f, pos_odd_integer)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, pos_even_integer)); EXPECT_FP_IS_NAN_WITH_EXCEPTION( LIBC_NAMESPACE::powf(-1.0f, pos_non_integer), FE_INVALID); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, inf)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(-1.0f, neg_inf)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(-1.0f, aNaN)); // pow( inf, exponent ) EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(inf, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(inf, neg_zero)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, 1.0f)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(inf, -1.0f)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(inf, neg_odd_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(inf, neg_even_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(inf, neg_non_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, pos_odd_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, pos_even_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, pos_non_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, one_half)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(inf, inf)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(inf, neg_inf)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(inf, aNaN)); // pow( -inf, exponent ) EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(neg_inf, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(neg_inf, neg_zero)); EXPECT_FP_EQ(neg_inf, LIBC_NAMESPACE::powf(neg_inf, 1.0f)); EXPECT_FP_EQ(neg_zero, LIBC_NAMESPACE::powf(neg_inf, -1.0f)); EXPECT_FP_EQ(neg_zero, LIBC_NAMESPACE::powf(neg_inf, neg_odd_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_inf, neg_even_integer)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_inf, neg_non_integer)); EXPECT_FP_EQ(neg_inf, LIBC_NAMESPACE::powf(neg_inf, pos_odd_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(neg_inf, pos_even_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(neg_inf, pos_non_integer)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(neg_inf, one_half)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(neg_inf, inf)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(neg_inf, neg_inf)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(neg_inf, aNaN)); // pow ( aNaN, exponent ) EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(aNaN, zero)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(aNaN, neg_zero)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, 1.0f)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, -1.0f)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, neg_odd_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, neg_even_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, neg_non_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, pos_odd_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, pos_even_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, pos_non_integer)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, inf)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, neg_inf)); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(aNaN, aNaN)); // pow ( base, inf ) EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(0.1f, inf)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(-0.1f, inf)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(1.1f, inf)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(-1.1f, inf)); // pow ( base, -inf ) EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(0.1f, neg_inf)); EXPECT_FP_EQ(inf, LIBC_NAMESPACE::powf(-0.1f, neg_inf)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(1.1f, neg_inf)); EXPECT_FP_EQ(zero, LIBC_NAMESPACE::powf(-1.1f, neg_inf)); // Exact powers of 2: EXPECT_FP_EQ(0x1.0p15f, LIBC_NAMESPACE::powf(2.0f, 15.0f)); EXPECT_FP_EQ(0x1.0p126f, LIBC_NAMESPACE::powf(2.0f, 126.0f)); EXPECT_FP_EQ(0x1.0p-45f, LIBC_NAMESPACE::powf(2.0f, -45.0f)); EXPECT_FP_EQ(0x1.0p-126f, LIBC_NAMESPACE::powf(2.0f, -126.0f)); EXPECT_FP_EQ(0x1.0p-149f, LIBC_NAMESPACE::powf(2.0f, -149.0f)); // Exact powers of 10: EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(10.0f, 0.0f)); EXPECT_FP_EQ(10.0f, LIBC_NAMESPACE::powf(10.0f, 1.0f)); EXPECT_FP_EQ(100.0f, LIBC_NAMESPACE::powf(10.0f, 2.0f)); EXPECT_FP_EQ(1000.0f, LIBC_NAMESPACE::powf(10.0f, 3.0f)); EXPECT_FP_EQ(10000.0f, LIBC_NAMESPACE::powf(10.0f, 4.0f)); EXPECT_FP_EQ(100000.0f, LIBC_NAMESPACE::powf(10.0f, 5.0f)); EXPECT_FP_EQ(1000000.0f, LIBC_NAMESPACE::powf(10.0f, 6.0f)); EXPECT_FP_EQ(10000000.0f, LIBC_NAMESPACE::powf(10.0f, 7.0f)); EXPECT_FP_EQ(100000000.0f, LIBC_NAMESPACE::powf(10.0f, 8.0f)); EXPECT_FP_EQ(1000000000.0f, LIBC_NAMESPACE::powf(10.0f, 9.0f)); EXPECT_FP_EQ(10000000000.0f, LIBC_NAMESPACE::powf(10.0f, 10.0f)); // Overflow / Underflow: if (ROUNDING_MODES[i] != RoundingMode::Downward && ROUNDING_MODES[i] != RoundingMode::TowardZero) { EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::powf(3.1f, 201.0f), FE_OVERFLOW); } if (ROUNDING_MODES[i] != RoundingMode::Upward) { EXPECT_FP_EQ_WITH_EXCEPTION(0.0f, LIBC_NAMESPACE::powf(3.1f, -201.0f), FE_UNDERFLOW); } } EXPECT_FP_EQ(-0.0f, LIBC_NAMESPACE::powf(-0.015625f, 25.0f)); EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::powf(-0.015625f, 26.0f)); } #ifdef LIBC_TEST_FTZ_DAZ using namespace LIBC_NAMESPACE::testing; TEST_F(LlvmLibcPowfTest, FTZMode) { ModifyMXCSR mxcsr(FTZ); EXPECT_FP_IS_NAN(LIBC_NAMESPACE::powf(-min_denormal, 0.5f)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(2.0f, min_denormal)); } TEST_F(LlvmLibcPowfTest, DAZMode) { ModifyMXCSR mxcsr(DAZ); EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::powf(-min_denormal, 0.5f)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(2.0f, min_denormal)); } TEST_F(LlvmLibcPowfTest, FTZDAZMode) { ModifyMXCSR mxcsr(FTZ | DAZ); EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::powf(-min_denormal, 0.5f)); EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::powf(2.0f, min_denormal)); } #endif