//===-- Unittests for atan2 -----------------------------------------------===// // // 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 "src/__support/FPUtil/FPBits.h" #include "src/math/atan2.h" #include "test/UnitTest/FPMatcher.h" #include "test/UnitTest/Test.h" #include "utils/MPFRWrapper/MPFRUtils.h" using LlvmLibcAtan2Test = LIBC_NAMESPACE::testing::FPTest; using LIBC_NAMESPACE::testing::tlog; namespace mpfr = LIBC_NAMESPACE::testing::mpfr; TEST_F(LlvmLibcAtan2Test, TrickyInputs) { mpfr::BinaryInput inputs[] = { {0x1.0853408534085p-2, 0x1.e7b54166c6126p-2}, {FPBits::inf().get_val(), 0x0.0000000000001p-1022}, }; for (mpfr::BinaryInput &input : inputs) { double x = input.x; double y = input.y; mpfr::RoundingMode rm = mpfr::RoundingMode::Downward; mpfr::ForceRoundingMode rr(rm); ASSERT_MPFR_MATCH(mpfr::Operation::Atan2, input, LIBC_NAMESPACE::atan2(x, y), 0.5, rm); input.x = -input.x; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, LIBC_NAMESPACE::atan2(-x, y), 0.5); input.y = -input.y; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, LIBC_NAMESPACE::atan2(-x, -y), 0.5); input.x = -input.x; ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, LIBC_NAMESPACE::atan2(x, -y), 0.5); } } TEST_F(LlvmLibcAtan2Test, InDoubleRange) { constexpr uint64_t X_COUNT = 123; constexpr uint64_t X_START = FPBits(0.25).uintval(); constexpr uint64_t X_STOP = FPBits(4.0).uintval(); constexpr uint64_t X_STEP = (X_STOP - X_START) / X_COUNT; constexpr uint64_t Y_COUNT = 137; constexpr uint64_t Y_START = FPBits(0.25).uintval(); constexpr uint64_t Y_STOP = FPBits(4.0).uintval(); constexpr uint64_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; double failed_x = 0.0, failed_y = 0.0, failed_r = 0.0; double tol = 0.5; for (uint64_t i = 0, v = X_START; i <= X_COUNT; ++i, v += X_STEP) { double x = FPBits(v).get_val(); if (FPBits(x).is_inf_or_nan() || x < 0.0) continue; for (uint64_t j = 0, w = Y_START; j <= Y_COUNT; ++j, w += Y_STEP) { double y = FPBits(w).get_val(); if (FPBits(y).is_inf_or_nan()) continue; double result = LIBC_NAMESPACE::atan2(x, y); ++total_count; if (FPBits(result).is_inf_or_nan()) 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 << " Atan2 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); }