// Copyright 2014 Dolphin Emulator Project // SPDX-License-Identifier: GPL-2.0-or-later #include #include "Common/MathUtil.h" 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, NextPowerOf2) { 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(1000))); EXPECT_EQ(255u, (MathUtil::SaturatingCast(1000u))); EXPECT_EQ(255u, (MathUtil::SaturatingCast(1000))); // Cast from a signed integer type EXPECT_EQ(0u, (MathUtil::SaturatingCast(-1))); EXPECT_EQ(0u, (MathUtil::SaturatingCast(-1000))); EXPECT_EQ(0u, (MathUtil::SaturatingCast(-1))); EXPECT_EQ(-1000, (MathUtil::SaturatingCast(-1000))); EXPECT_EQ(-1000, (MathUtil::SaturatingCast(-1000))); EXPECT_EQ(-1000, (MathUtil::SaturatingCast(-1000))); // Cast from an unsigned integer type to a smaller integer type EXPECT_EQ(0x7fff, (MathUtil::SaturatingCast(0xffffffffu))); EXPECT_EQ(0x7fffffff, (MathUtil::SaturatingCast(0xffffffffu))); // Cast from a floating point type to an integer type EXPECT_EQ(255u, MathUtil::SaturatingCast(1234.0)); EXPECT_EQ(0u, MathUtil::SaturatingCast(-1234.0)); EXPECT_EQ(127, MathUtil::SaturatingCast(5678.0)); EXPECT_EQ(-128, MathUtil::SaturatingCast(-5678.0)); EXPECT_EQ(65535u, MathUtil::SaturatingCast(999999.0)); // Negative zero EXPECT_EQ(0u, MathUtil::SaturatingCast(0.0)); EXPECT_EQ(0u, MathUtil::SaturatingCast(-0.0)); EXPECT_EQ(0, MathUtil::SaturatingCast(0.0)); EXPECT_EQ(0, MathUtil::SaturatingCast(-0.0)); // Edge cases EXPECT_EQ(std::numeric_limits::max(), MathUtil::SaturatingCast(std::numeric_limits::infinity())); EXPECT_EQ(std::numeric_limits::min(), MathUtil::SaturatingCast(-std::numeric_limits::infinity())); // 16777217 = 2^24 + 1 is the first integer that cannot be represented correctly with a f32. EXPECT_EQ(16777216, MathUtil::SaturatingCast(float(16777216))); EXPECT_EQ(16777216, MathUtil::SaturatingCast(float(16777217))); } 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 rect_a(1, 1, 6, 2); EXPECT_EQ(rect_a.GetWidth(), u32{5}); // left > right MathUtil::Rectangle rect_b(5, 1, 1, 2); EXPECT_EQ(rect_b.GetWidth(), u32{4}); // left == right MathUtil::Rectangle rect_c(1, 2, 1, 2); EXPECT_EQ(rect_c.GetWidth(), u32{0}); // Most significant bit differs, left < right MathUtil::Rectangle rect_d(2, 1, 0xFFFFFFF5, 2); EXPECT_EQ(rect_d.GetWidth(), u32{0xFFFFFFF3}); // Most significant bit differs, left > right MathUtil::Rectangle 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 rect_a(1, 1, 2, 2); EXPECT_EQ(rect_a.GetHeight(), u32{1}); // top > bottom MathUtil::Rectangle rect_b(1, 4, 2, 2); EXPECT_EQ(rect_b.GetHeight(), u32{2}); // top == bottom MathUtil::Rectangle rect_c(1, 1, 2, 1); EXPECT_EQ(rect_c.GetHeight(), u32{0}); // Most significant bit differs, top < bottom MathUtil::Rectangle rect_d(1, 2, 2, 0xFFFFFFFB); EXPECT_EQ(rect_d.GetHeight(), u32{0xFFFFFFF9}); // Most significant bit differs, top > bottom MathUtil::Rectangle 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.)