//===-- Unittests for atan2f ----------------------------------------------===// // // 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/atan2f.h" #include "test/UnitTest/FPMatcher.h" #include "test/UnitTest/Test.h" #include "utils/MPFRWrapper/MPFRUtils.h" using LlvmLibcAtan2fTest = LIBC_NAMESPACE::testing::FPTest; using LIBC_NAMESPACE::testing::tlog; namespace mpfr = LIBC_NAMESPACE::testing::mpfr; TEST_F(LlvmLibcAtan2fTest, TrickyInputs) { constexpr int N = 17; mpfr::BinaryInput INPUTS[N] = { {0x1.0cb3a4p+20f, 0x1.4ebacp+22f}, {0x1.12215p+1f, 0x1.4fabfcp+22f}, {-0x1.13baaep+41f, 0x1.5bd22ep+23f}, {0x1.1ff7dcp+41f, 0x1.aec0a6p+23f}, {0x1.2bc794p+23f, 0x1.0bc0c6p+23f}, {0x1.2fba3ap+42f, 0x1.f99456p+23f}, {0x1.5ea1f8p+27f, 0x1.f2a1aep+23f}, {0x1.7a931p+44f, 0x1.352ac4p+22f}, {0x1.8802bcp+21f, 0x1.8f130ap+23f}, {0x1.658ef8p+17f, 0x1.3c00f4p+22f}, {0x1.69fb0cp+21f, 0x1.39e4c4p+23f}, {0x1.8eb24cp+11f, 0x1.36518p+23f}, {0x1.9e7ebp+30f, 0x1.d80522p+23f}, {0x1.b4bdeep+19f, 0x1.c19b4p+23f}, {0x1.bc201p+43f, 0x1.617346p+23f}, {0x1.c96c3cp+20f, 0x1.c01d1ep+23f}, {0x1.781fcp+28f, 0x1.dcb3cap+23f}, }; for (int i = 0; i < N; ++i) { float x = INPUTS[i].x; float y = INPUTS[i].y; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, INPUTS[i], LIBC_NAMESPACE::atan2f(x, y), 0.5); INPUTS[i].x = -INPUTS[i].x; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, INPUTS[i], LIBC_NAMESPACE::atan2f(-x, y), 0.5); INPUTS[i].y = -INPUTS[i].y; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, INPUTS[i], LIBC_NAMESPACE::atan2f(-x, -y), 0.5); INPUTS[i].x = -INPUTS[i].x; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, INPUTS[i], LIBC_NAMESPACE::atan2f(x, -y), 0.5); } } TEST_F(LlvmLibcAtan2fTest, InFloatRange) { constexpr uint32_t X_COUNT = 1'23; constexpr uint32_t X_START = FPBits(0.25f).uintval(); constexpr uint32_t X_STOP = FPBits(4.0f).uintval(); constexpr uint32_t X_STEP = (X_STOP - X_START) / X_COUNT; constexpr uint32_t Y_COUNT = 1'37; constexpr uint32_t Y_START = FPBits(0.25f).uintval(); constexpr uint32_t Y_STOP = FPBits(4.0f).uintval(); constexpr uint32_t Y_STEP = (Y_STOP - Y_START) / Y_COUNT; auto test = [&](mpfr::RoundingMode rounding_mode) { mpfr::ForceRoundingMode __r(rounding_mode); if (!__r.success) return; uint64_t fails = 0; uint64_t finite_count = 0; uint64_t total_count = 0; float failed_x, failed_y, failed_r = 0.0; double tol = 0.5; for (uint32_t i = 0, v = X_START; i <= X_COUNT; ++i, v += X_STEP) { float x = FPBits(v).get_val(); if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0) continue; for (uint32_t j = 0, w = Y_START; j <= Y_COUNT; ++j, w += Y_STEP) { float y = FPBits(w).get_val(); if (FPBits(w).is_nan() || FPBits(w).is_inf()) continue; LIBC_NAMESPACE::libc_errno = 0; float result = LIBC_NAMESPACE::atan2f(x, y); ++total_count; if (FPBits(result).is_nan() || FPBits(result).is_inf()) continue; ++finite_count; mpfr::BinaryInput inputs{x, y}; if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Atan2, inputs, result, 0.5, rounding_mode)) { ++fails; while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY( mpfr::Operation::Atan2, inputs, result, tol, rounding_mode)) { failed_x = x; failed_y = y; failed_r = result; if (tol > 1000.0) break; tol *= 2.0; } } } } if (fails || (finite_count < total_count)) { tlog << " Atan2f failed: " << fails << "/" << finite_count << "/" << total_count << " tests.\n" << " Max ULPs is at most: " << static_cast(tol) << ".\n"; } if (fails) { mpfr::BinaryInput inputs{failed_x, failed_y}; EXPECT_MPFR_MATCH(mpfr::Operation::Atan2, inputs, failed_r, 0.5, rounding_mode); } }; tlog << " Test Rounding To Nearest...\n"; test(mpfr::RoundingMode::Nearest); tlog << " Test Rounding Downward...\n"; test(mpfr::RoundingMode::Downward); tlog << " Test Rounding Upward...\n"; test(mpfr::RoundingMode::Upward); tlog << " Test Rounding Toward Zero...\n"; test(mpfr::RoundingMode::TowardZero); }