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// Copyright 2014 Dolphin Emulator Project
// SPDX-License-Identifier: GPL-2.0-or-later
#include <gtest/gtest.h>
#include "Common/MathUtil.h"
TEST(MathUtil, DegreesToRadians)
{
EXPECT_EQ(0.0, MathUtil::DegreesToRadians(0.0));
EXPECT_EQ(std::numbers::pi_v<double>, MathUtil::DegreesToRadians(180.0));
EXPECT_EQ(std::numbers::pi_v<double> / 2, MathUtil::DegreesToRadians(90.0));
EXPECT_EQ(std::numbers::pi_v<double> / 4, MathUtil::DegreesToRadians(45.0));
EXPECT_EQ(2 * std::numbers::pi_v<double>, MathUtil::DegreesToRadians(360.0));
// Negative angles
EXPECT_EQ(-std::numbers::pi_v<double> / 2, MathUtil::DegreesToRadians(-90.0));
EXPECT_EQ(-std::numbers::pi_v<double>, MathUtil::DegreesToRadians(-180.0));
}
TEST(MathUtil, RadiansToDegrees)
{
EXPECT_EQ(0.0, MathUtil::RadiansToDegrees(0.0));
EXPECT_EQ(180.0, MathUtil::RadiansToDegrees(std::numbers::pi_v<double>));
EXPECT_EQ(90.0, MathUtil::RadiansToDegrees(std::numbers::pi_v<double> / 2));
EXPECT_EQ(45.0, MathUtil::RadiansToDegrees(std::numbers::pi_v<double> / 4));
EXPECT_EQ(360.0, MathUtil::RadiansToDegrees(2 * std::numbers::pi_v<double>));
// Negative angles
EXPECT_EQ(-90.0, MathUtil::RadiansToDegrees(-std::numbers::pi_v<double> / 2));
EXPECT_EQ(-180.0, MathUtil::RadiansToDegrees(-std::numbers::pi_v<double>));
}
TEST(MathUtil, IntLog2)
{
EXPECT_EQ(0, MathUtil::IntLog2(1));
EXPECT_EQ(1, MathUtil::IntLog2(2));
EXPECT_EQ(2, MathUtil::IntLog2(4));
EXPECT_EQ(3, MathUtil::IntLog2(8));
EXPECT_EQ(63, MathUtil::IntLog2(0x8000000000000000ull));
// Rounding behavior.
EXPECT_EQ(3, MathUtil::IntLog2(15));
EXPECT_EQ(63, MathUtil::IntLog2(0xFFFFFFFFFFFFFFFFull));
}
TEST(MathUtil, IsPow2)
{
EXPECT_FALSE(MathUtil::IsPow2(std::numeric_limits<int>::min()));
EXPECT_FALSE(MathUtil::IsPow2(-2));
EXPECT_FALSE(MathUtil::IsPow2(-1));
EXPECT_FALSE(MathUtil::IsPow2(0));
EXPECT_TRUE(MathUtil::IsPow2(1));
EXPECT_TRUE(MathUtil::IsPow2(2));
EXPECT_FALSE(MathUtil::IsPow2(3));
EXPECT_TRUE(MathUtil::IsPow2(4));
EXPECT_FALSE(MathUtil::IsPow2(5));
EXPECT_FALSE(MathUtil::IsPow2(std::numeric_limits<int>::max()));
}
TEST(MathUtil, NextPowerOf2)
{
EXPECT_EQ(1U, MathUtil::NextPowerOf2(0));
EXPECT_EQ(4U, MathUtil::NextPowerOf2(3));
EXPECT_EQ(4U, MathUtil::NextPowerOf2(4));
EXPECT_EQ(8U, MathUtil::NextPowerOf2(6));
EXPECT_EQ(0x40000000U, MathUtil::NextPowerOf2(0x23456789));
}
TEST(MathUtil, SaturatingCast)
{
// Cast from an integer type to a smaller type
EXPECT_EQ(255u, (MathUtil::SaturatingCast<u8, int>(1000)));
EXPECT_EQ(255u, (MathUtil::SaturatingCast<u8, u16>(1000u)));
EXPECT_EQ(255u, (MathUtil::SaturatingCast<u8, std::size_t>(1000)));
// Cast from a signed integer type
EXPECT_EQ(0u, (MathUtil::SaturatingCast<u8, int>(-1)));
EXPECT_EQ(0u, (MathUtil::SaturatingCast<u8, int>(-1000)));
EXPECT_EQ(0u, (MathUtil::SaturatingCast<u32, int>(-1)));
EXPECT_EQ(-1000, (MathUtil::SaturatingCast<s16, int>(-1000)));
EXPECT_EQ(-1000, (MathUtil::SaturatingCast<int, int>(-1000)));
EXPECT_EQ(-1000, (MathUtil::SaturatingCast<s64, int>(-1000)));
// Cast from an unsigned integer type to a smaller integer type
EXPECT_EQ(0x7fff, (MathUtil::SaturatingCast<s16, u32>(0xffffffffu)));
EXPECT_EQ(0x7fffffff, (MathUtil::SaturatingCast<int, u32>(0xffffffffu)));
// Cast from a floating point type to an integer type
EXPECT_EQ(255u, MathUtil::SaturatingCast<u8>(1234.0));
EXPECT_EQ(0u, MathUtil::SaturatingCast<u8>(-1234.0));
EXPECT_EQ(127, MathUtil::SaturatingCast<s8>(5678.0));
EXPECT_EQ(-128, MathUtil::SaturatingCast<s8>(-5678.0));
EXPECT_EQ(65535u, MathUtil::SaturatingCast<u16>(999999.0));
// Negative zero
EXPECT_EQ(0u, MathUtil::SaturatingCast<u8>(0.0));
EXPECT_EQ(0u, MathUtil::SaturatingCast<u8>(-0.0));
EXPECT_EQ(0, MathUtil::SaturatingCast<s8>(0.0));
EXPECT_EQ(0, MathUtil::SaturatingCast<s8>(-0.0));
// Edge cases
EXPECT_EQ(std::numeric_limits<s32>::max(),
MathUtil::SaturatingCast<s32>(std::numeric_limits<float>::infinity()));
EXPECT_EQ(std::numeric_limits<s32>::min(),
MathUtil::SaturatingCast<s32>(-std::numeric_limits<float>::infinity()));
// 16777217 = 2^24 + 1 is the first integer that cannot be represented correctly with a f32.
EXPECT_EQ(16777216, MathUtil::SaturatingCast<s32>(float(16777216)));
EXPECT_EQ(16777216, MathUtil::SaturatingCast<s32>(float(16777217)));
// Note that values in the range [2147483584, 2147483776] have an equivalent float representation.
EXPECT_EQ(std::numeric_limits<s32>::max(), MathUtil::SaturatingCast<s32>(2147483648.f));
EXPECT_EQ(std::numeric_limits<s32>::min(), MathUtil::SaturatingCast<s32>(-2147483649.f));
// Cast from a signed integer type to a smaller signed integer type
EXPECT_EQ(-128, (MathUtil::SaturatingCast<s8, int>(-129)));
}
TEST(MathUtil, RectangleEquality)
{
MathUtil::Rectangle rect_a(1, 1, 4, 7);
MathUtil::Rectangle rect_b(1, 1, 4, 7);
EXPECT_EQ(rect_a, rect_b);
// Left not equal
MathUtil::Rectangle rect_c(0, 1, 4, 7);
EXPECT_NE(rect_a, rect_c);
// Top not equal
MathUtil::Rectangle rect_d(1, 3, 4, 7);
EXPECT_NE(rect_a, rect_d);
// Right not equal
MathUtil::Rectangle rect_e(1, 1, 2, 7);
EXPECT_NE(rect_a, rect_e);
// Bottom not equal
MathUtil::Rectangle rect_f(1, 1, 4, 9);
EXPECT_NE(rect_a, rect_f);
// No coordinates equal
MathUtil::Rectangle rect_g(0, 3, 2, 9);
EXPECT_NE(rect_a, rect_g);
}
TEST(MathUtil, RectangleGetWidthSigned)
{
// left < right
MathUtil::Rectangle rect_a(2, 1, 3, 2);
EXPECT_EQ(rect_a.GetWidth(), 1);
// left > right
MathUtil::Rectangle rect_b(3, 1, 1, 2);
EXPECT_EQ(rect_b.GetWidth(), 2);
// left == right
MathUtil::Rectangle rect_c(3, 1, 3, 2);
EXPECT_EQ(rect_c.GetWidth(), 0);
// Most significant bit differs, left < right
MathUtil::Rectangle rect_d(-9, 1, 1, 2);
EXPECT_EQ(rect_d.GetWidth(), 10);
// Most significant bit differs, left > right
MathUtil::Rectangle rect_e(1, 1, -6, 2);
EXPECT_EQ(rect_e.GetWidth(), 7);
}
TEST(MathUtil, RectangleGetWidthUnsigned)
{
// left < right
MathUtil::Rectangle<u32> rect_a(1, 1, 6, 2);
EXPECT_EQ(rect_a.GetWidth(), u32{5});
// left > right
MathUtil::Rectangle<u32> rect_b(5, 1, 1, 2);
EXPECT_EQ(rect_b.GetWidth(), u32{4});
// left == right
MathUtil::Rectangle<u32> rect_c(1, 2, 1, 2);
EXPECT_EQ(rect_c.GetWidth(), u32{0});
// Most significant bit differs, left < right
MathUtil::Rectangle<u32> rect_d(2, 1, 0xFFFFFFF5, 2);
EXPECT_EQ(rect_d.GetWidth(), u32{0xFFFFFFF3});
// Most significant bit differs, left > right
MathUtil::Rectangle<u32> rect_e(0xFFFFFFF7, 1, 1, 2);
EXPECT_EQ(rect_e.GetWidth(), u32{0xFFFFFFF6});
}
TEST(MathUtil, RectangleGetHeightSigned)
{
// top < bottom
MathUtil::Rectangle rect_a(1, 1, 2, 3);
EXPECT_EQ(rect_a.GetHeight(), 2);
// top > bottom
MathUtil::Rectangle rect_b(1, 4, 2, 0);
EXPECT_EQ(rect_b.GetHeight(), 4);
// top == bottom
MathUtil::Rectangle rect_c(1, 3, 2, 3);
EXPECT_EQ(rect_c.GetHeight(), 0);
// Most significant bit differs, top < bottom
MathUtil::Rectangle rect_d(1, -2, 2, 1);
EXPECT_EQ(rect_d.GetHeight(), 3);
// Most significant bit differs, top > bottom
MathUtil::Rectangle rect_e(1, 0, 2, -1);
EXPECT_EQ(rect_e.GetHeight(), 1);
}
TEST(MathUtil, RectangleGetHeightUnsigned)
{
// top < bottom
MathUtil::Rectangle<u32> rect_a(1, 1, 2, 2);
EXPECT_EQ(rect_a.GetHeight(), u32{1});
// top > bottom
MathUtil::Rectangle<u32> rect_b(1, 4, 2, 2);
EXPECT_EQ(rect_b.GetHeight(), u32{2});
// top == bottom
MathUtil::Rectangle<u32> rect_c(1, 1, 2, 1);
EXPECT_EQ(rect_c.GetHeight(), u32{0});
// Most significant bit differs, top < bottom
MathUtil::Rectangle<u32> rect_d(1, 2, 2, 0xFFFFFFFB);
EXPECT_EQ(rect_d.GetHeight(), u32{0xFFFFFFF9});
// Most significant bit differs, top > bottom
MathUtil::Rectangle<u32> rect_e(1, 0xFFFFFFF9, 2, 1);
EXPECT_EQ(rect_e.GetHeight(), u32{0xFFFFFFF8});
}
// TODO: Add unit test coverage for `Rectangle::ClampUL`. (And consider removing
// `Rectangle::ClampLL`, which does not have any callers.)
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