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1//===-- Utility class to test fixed-point sqrt ------------------*- C++ -*-===//2//3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.4// See https://llvm.org/LICENSE.txt for license information.5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception6//7//===----------------------------------------------------------------------===//8 9#include "test/UnitTest/Test.h"10 11#include "src/__support/CPP/bit.h"12#include "src/__support/FPUtil/BasicOperations.h"13#include "src/__support/FPUtil/sqrt.h"14#include "src/__support/fixed_point/fx_rep.h"15#include "src/__support/fixed_point/sqrt.h"16 17template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {18 19  using FXRep = LIBC_NAMESPACE::fixed_point::FXRep<T>;20  static constexpr T zero = FXRep::ZERO();21  static constexpr T min = FXRep::MIN();22  static constexpr T max = FXRep::MAX();23  static constexpr T half = static_cast<T>(0.5);24  static constexpr T quarter = static_cast<T>(0.25);25  static constexpr T one =26      (FXRep::INTEGRAL_LEN > 0) ? static_cast<T>(1) : FXRep::MAX();27  static constexpr T eps = FXRep::EPS();28 29public:30  typedef T (*SqrtFunc)(T);31 32  void testSpecialNumbers(SqrtFunc func) {33    EXPECT_EQ(zero, func(zero));34    EXPECT_EQ(half, func(quarter));35 36    if constexpr (FXRep::INTEGRAL_LEN) {37      EXPECT_EQ(one, func(one));38      EXPECT_EQ(static_cast<T>(2.0), func(static_cast<T>(4.0)));39    }40 41    using StorageType = typename FXRep::StorageType;42 43    constexpr size_t COUNT = 255;44    constexpr StorageType STEP =45        StorageType(~StorageType(0)) / static_cast<StorageType>(COUNT);46    constexpr double ERR = 3.0 * static_cast<double>(eps);47    StorageType x = 0;48    for (size_t i = 0; i < COUNT; ++i, x += STEP) {49      T v = LIBC_NAMESPACE::cpp::bit_cast<T>(x);50      double v_d = static_cast<double>(v);51      double errors = LIBC_NAMESPACE::fputil::abs(52          static_cast<double>(func(v)) -53          LIBC_NAMESPACE::fputil::sqrt<double>(v_d));54      if (errors > ERR) {55        // Print out the failure input and output.56        EXPECT_EQ(v, zero);57        EXPECT_EQ(func(v), zero);58      }59      ASSERT_TRUE(errors <= ERR);60    }61  }62};63 64#define LIST_SQRT_TESTS(T, func)                                               \65  using LlvmLibcSqrtTest = SqrtTest<T>;                                        \66  TEST_F(LlvmLibcSqrtTest, SpecialNumbers) { testSpecialNumbers(&func); }      \67  static_assert(true, "Require semicolon.")68