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//===-- Unittests for 10^x ------------------------------------------------===// |
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// |
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
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// See https://llvm.org/LICENSE.txt for license information. |
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
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// |
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//===----------------------------------------------------------------------===// |
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#include "src/__support/FPUtil/FPBits.h" |
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#include "src/errno/libc_errno.h" |
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#include "src/math/exp10.h" |
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#include "test/UnitTest/FPMatcher.h" |
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#include "test/UnitTest/Test.h" |
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#include "utils/MPFRWrapper/MPFRUtils.h" |
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#include <math.h> |
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#include <errno.h> |
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#include <stdint.h> |
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namespace mpfr = __llvm_libc::testing::mpfr; |
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using __llvm_libc::testing::tlog; |
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DECLARE_SPECIAL_CONSTANTS(double) |
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TEST(LlvmLibcExp10Test, SpecialNumbers) { |
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EXPECT_FP_EQ(aNaN, __llvm_libc::exp10(aNaN)); |
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EXPECT_FP_EQ(inf, __llvm_libc::exp10(inf)); |
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EXPECT_FP_EQ_ALL_ROUNDING(zero, __llvm_libc::exp10(neg_inf)); |
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EXPECT_FP_EQ_WITH_EXCEPTION(zero, __llvm_libc::exp10(-0x1.0p20), |
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FE_UNDERFLOW); |
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EXPECT_FP_EQ_WITH_EXCEPTION(inf, __llvm_libc::exp10(0x1.0p20), FE_OVERFLOW); |
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EXPECT_FP_EQ_ALL_ROUNDING(1.0, __llvm_libc::exp10(0.0)); |
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EXPECT_FP_EQ_ALL_ROUNDING(1.0, __llvm_libc::exp10(-0.0)); |
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} |
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TEST(LlvmLibcExp10Test, TrickyInputs) { |
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constexpr int N = 41; |
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constexpr uint64_t INPUTS[N] = { |
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0x40033093317082F8, 0x3FD79289C6E6A5C0, |
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0x3FD05DE80A173EA0, // 0x1.05de80a173eap-2 |
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0xbf1eb7a4cb841fcc, // -0x1.eb7a4cb841fccp-14 |
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0xbf19a61fb925970d, |
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0x3fda7b764e2cf47a, // 0x1.a7b764e2cf47ap-2 |
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0xc04757852a4b93aa, // -0x1.757852a4b93aap+5 |
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0x4044c19e5712e377, // x=0x1.4c19e5712e377p+5 |
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0xbf19a61fb925970d, // x=-0x1.9a61fb925970dp-14 |
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0xc039a74cdab36c28, // x=-0x1.9a74cdab36c28p+4 |
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0xc085b3e4e2e3bba9, // x=-0x1.5b3e4e2e3bba9p+9 |
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0xc086960d591aec34, // x=-0x1.6960d591aec34p+9 |
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0xc086232c09d58d91, // x=-0x1.6232c09d58d91p+9 |
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0xc0874910d52d3051, // x=-0x1.74910d52d3051p9 |
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0xc0867a172ceb0990, // x=-0x1.67a172ceb099p+9 |
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0xc08ff80000000000, // x=-0x1.ff8p+9 |
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0xbc971547652b82fe, // x=-0x1.71547652b82fep-54 |
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0x0000000000000000, // x = 0 |
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0x3ff0000000000000, // x = 1 |
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0x4000000000000000, // x = 2 |
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0x4008000000000000, // x = 3 |
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0x4010000000000000, // x = 4 |
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0x4014000000000000, // x = 5 |
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0x4018000000000000, // x = 6 |
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0x401c000000000000, // x = 7 |
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0x4020000000000000, // x = 8 |
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0x4022000000000000, // x = 9 |
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0x4024000000000000, // x = 10 |
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0x4026000000000000, // x = 11 |
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0x4028000000000000, // x = 12 |
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0x402a000000000000, // x = 13 |
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0x402c000000000000, // x = 14 |
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0x402e000000000000, // x = 15 |
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0x4030000000000000, // x = 16 |
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0x4031000000000000, // x = 17 |
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0x4032000000000000, // x = 18 |
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0x4033000000000000, // x = 19 |
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0x4034000000000000, // x = 20 |
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0x4035000000000000, // x = 21 |
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0x4036000000000000, // x = 22 |
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0x4037000000000000, // x = 23 |
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}; |
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for (int i = 0; i < N; ++i) { |
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double x = double(FPBits(INPUTS[i])); |
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EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp10, x, |
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__llvm_libc::exp10(x), 0.5); |
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} |
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} |
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TEST(LlvmLibcExp10Test, InDoubleRange) { |
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constexpr uint64_t COUNT = 1'231; |
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uint64_t START = __llvm_libc::fputil::FPBits<double>(0.25).uintval(); |
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uint64_t STOP = __llvm_libc::fputil::FPBits<double>(4.0).uintval(); |
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uint64_t STEP = (STOP - START) / COUNT; |
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auto test = [&](mpfr::RoundingMode rounding_mode) { |
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mpfr::ForceRoundingMode __r(rounding_mode); |
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if (!__r.success) |
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return; |
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uint64_t fails = 0; |
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uint64_t count = 0; |
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uint64_t cc = 0; |
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double mx, mr = 0.0; |
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double tol = 0.5; |
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for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) { |
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double x = FPBits(v).get_val(); |
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if (isnan(x) || isinf(x) || x < 0.0) |
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continue; |
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libc_errno = 0; |
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double result = __llvm_libc::exp10(x); |
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++cc; |
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if (isnan(result) || isinf(result)) |
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continue; |
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++count; |
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if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, result, |
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0.5, rounding_mode)) { |
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++fails; |
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while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, |
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result, tol, rounding_mode)) { |
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mx = x; |
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mr = result; |
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if (tol > 1000.0) |
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break; |
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tol *= 2.0; |
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} |
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} |
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} |
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tlog << " Exp10 failed: " << fails << "/" << count << "/" << cc |
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<< " tests.\n"; |
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tlog << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n"; |
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if (fails) { |
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EXPECT_MPFR_MATCH(mpfr::Operation::Exp10, mx, mr, 0.5, rounding_mode); |
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} |
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}; |
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tlog << " Test Rounding To Nearest...\n"; |
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test(mpfr::RoundingMode::Nearest); |
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tlog << " Test Rounding Downward...\n"; |
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test(mpfr::RoundingMode::Downward); |
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tlog << " Test Rounding Upward...\n"; |
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test(mpfr::RoundingMode::Upward); |
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tlog << " Test Rounding Toward Zero...\n"; |
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test(mpfr::RoundingMode::TowardZero); |
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} |