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test2/source/blender/blenlib/tests/BLI_math_base_test.cc
Iliya Katushenock dceccfda5a BLI: support mod_periodic on integer types 
See #125876 for more details.

Pull Request: https://projects.blender.org/blender/blender/pulls/125876
2024-09-17 15:48:06 +02:00

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/* SPDX-FileCopyrightText: 2023 Blender Authors
*
* SPDX-License-Identifier: Apache-2.0 */
#include "testing/testing.h"
#include "BLI_math_base.hh"
#include "BLI_math_base_safe.h"
#include "BLI_math_vector.hh"
namespace blender::tests {
/* In tests below, when we are using -1.0f as max_diff value, we actually turn the function into a
* pure-ULP one. */
/* Put this here, since we cannot use BLI_assert() in inline math files it seems... */
TEST(math_base, CompareFFRelativeValid)
{
EXPECT_TRUE(sizeof(float) == sizeof(int));
}
TEST(math_base, CompareFFRelativeNormal)
{
float f1 = 1.99999988f; /* *(float *)&(*(int *)&f2 - 1) */
float f2 = 2.00000000f;
float f3 = 2.00000048f; /* *(float *)&(*(int *)&f2 + 2) */
float f4 = 2.10000000f; /* *(float *)&(*(int *)&f2 + 419430) */
const float max_diff = FLT_EPSILON * 0.1f;
EXPECT_TRUE(compare_ff_relative(f1, f2, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(f2, f1, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(f3, f2, max_diff, 2));
EXPECT_TRUE(compare_ff_relative(f2, f3, max_diff, 2));
EXPECT_FALSE(compare_ff_relative(f3, f2, max_diff, 1));
EXPECT_FALSE(compare_ff_relative(f2, f3, max_diff, 1));
EXPECT_FALSE(compare_ff_relative(f3, f2, -1.0f, 1));
EXPECT_FALSE(compare_ff_relative(f2, f3, -1.0f, 1));
EXPECT_TRUE(compare_ff_relative(f3, f2, -1.0f, 2));
EXPECT_TRUE(compare_ff_relative(f2, f3, -1.0f, 2));
EXPECT_FALSE(compare_ff_relative(f4, f2, max_diff, 64));
EXPECT_FALSE(compare_ff_relative(f2, f4, max_diff, 64));
EXPECT_TRUE(compare_ff_relative(f1, f3, max_diff, 64));
EXPECT_TRUE(compare_ff_relative(f3, f1, max_diff, 64));
}
TEST(math_base, CompareFFRelativeZero)
{
float f0 = 0.0f;
float f1 = 4.2038954e-045f; /* *(float *)&(*(int *)&f0 + 3) */
float fn0 = -0.0f;
float fn1 = -2.8025969e-045f; /* *(float *)&(*(int *)&fn0 - 2) */
const float max_diff = FLT_EPSILON * 0.1f;
EXPECT_TRUE(compare_ff_relative(f0, f1, -1.0f, 3));
EXPECT_TRUE(compare_ff_relative(f1, f0, -1.0f, 3));
EXPECT_FALSE(compare_ff_relative(f0, f1, -1.0f, 2));
EXPECT_FALSE(compare_ff_relative(f1, f0, -1.0f, 2));
EXPECT_TRUE(compare_ff_relative(f0, f1, max_diff, 2));
EXPECT_TRUE(compare_ff_relative(f1, f0, max_diff, 2));
EXPECT_TRUE(compare_ff_relative(fn0, f1, -1.0f, 3));
EXPECT_TRUE(compare_ff_relative(f1, fn0, -1.0f, 3));
EXPECT_FALSE(compare_ff_relative(fn0, f1, -1.0f, 2));
EXPECT_FALSE(compare_ff_relative(f1, fn0, -1.0f, 2));
EXPECT_TRUE(compare_ff_relative(fn0, f1, max_diff, 2));
EXPECT_TRUE(compare_ff_relative(f1, fn0, max_diff, 2));
EXPECT_TRUE(compare_ff_relative(fn0, fn1, -1.0f, 2));
EXPECT_TRUE(compare_ff_relative(fn1, fn0, -1.0f, 2));
EXPECT_FALSE(compare_ff_relative(fn0, fn1, -1.0f, 1));
EXPECT_FALSE(compare_ff_relative(fn1, fn0, -1.0f, 1));
EXPECT_TRUE(compare_ff_relative(fn0, fn1, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(fn1, fn0, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(f0, fn1, -1.0f, 2));
EXPECT_TRUE(compare_ff_relative(fn1, f0, -1.0f, 2));
EXPECT_FALSE(compare_ff_relative(f0, fn1, -1.0f, 1));
EXPECT_FALSE(compare_ff_relative(fn1, f0, -1.0f, 1));
EXPECT_TRUE(compare_ff_relative(f0, fn1, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(fn1, f0, max_diff, 1));
EXPECT_TRUE(compare_ff_relative(fn0, f0, -1.0f, 0));
EXPECT_TRUE(compare_ff_relative(f0, fn0, -1.0f, 0));
}
TEST(math_base, UlpDiffFF)
{
EXPECT_EQ(ulp_diff_ff(0.0, 0.0), 0);
EXPECT_EQ(ulp_diff_ff(0.0, -0.0), 0);
EXPECT_EQ(ulp_diff_ff(-0.0, -0.0), 0);
EXPECT_EQ(ulp_diff_ff(1.0, 1.0), 0);
EXPECT_EQ(ulp_diff_ff(1.0, 2.0), 1 << 23);
EXPECT_EQ(ulp_diff_ff(2.0, 4.0), 1 << 23);
EXPECT_EQ(ulp_diff_ff(-1.0, -2.0), 1 << 23);
EXPECT_EQ(ulp_diff_ff(-2.0, -4.0), 1 << 23);
EXPECT_EQ(ulp_diff_ff(-1.0, 1.0), 0x7f000000);
EXPECT_EQ(ulp_diff_ff(0.0, 1.0), 0x3f800000);
EXPECT_EQ(ulp_diff_ff(-0.0, 1.0), 0x3f800000);
EXPECT_EQ(ulp_diff_ff(0.0, -1.0), 0x3f800000);
EXPECT_EQ(ulp_diff_ff(-0.0, -1.0), 0x3f800000);
EXPECT_EQ(ulp_diff_ff(INFINITY, -INFINITY), 0xff000000);
EXPECT_EQ(ulp_diff_ff(NAN, NAN), 0xffffffff);
EXPECT_EQ(ulp_diff_ff(NAN, 1.0), 0xffffffff);
EXPECT_EQ(ulp_diff_ff(1.0, NAN), 0xffffffff);
EXPECT_EQ(ulp_diff_ff(-NAN, 1.0), 0xffffffff);
EXPECT_EQ(ulp_diff_ff(1.0, -NAN), 0xffffffff);
}
TEST(math_base, Log2FloorU)
{
EXPECT_EQ(log2_floor_u(0), 0);
EXPECT_EQ(log2_floor_u(1), 0);
EXPECT_EQ(log2_floor_u(2), 1);
EXPECT_EQ(log2_floor_u(3), 1);
EXPECT_EQ(log2_floor_u(4), 2);
EXPECT_EQ(log2_floor_u(5), 2);
EXPECT_EQ(log2_floor_u(6), 2);
EXPECT_EQ(log2_floor_u(7), 2);
EXPECT_EQ(log2_floor_u(8), 3);
EXPECT_EQ(log2_floor_u(9), 3);
EXPECT_EQ(log2_floor_u(123456), 16);
}
TEST(math_base, Log2CeilU)
{
EXPECT_EQ(log2_ceil_u(0), 0);
EXPECT_EQ(log2_ceil_u(1), 0);
EXPECT_EQ(log2_ceil_u(2), 1);
EXPECT_EQ(log2_ceil_u(3), 2);
EXPECT_EQ(log2_ceil_u(4), 2);
EXPECT_EQ(log2_ceil_u(5), 3);
EXPECT_EQ(log2_ceil_u(6), 3);
EXPECT_EQ(log2_ceil_u(7), 3);
EXPECT_EQ(log2_ceil_u(8), 3);
EXPECT_EQ(log2_ceil_u(9), 4);
EXPECT_EQ(log2_ceil_u(123456), 17);
}
TEST(math_base, CeilPowerOf10)
{
EXPECT_EQ(ceil_power_of_10(0), 0);
EXPECT_EQ(ceil_power_of_10(1), 1);
EXPECT_EQ(ceil_power_of_10(1e-6f), 1e-6f);
EXPECT_NEAR(ceil_power_of_10(100.1f), 1000.0f, 1e-4f);
EXPECT_NEAR(ceil_power_of_10(99.9f), 100.0f, 1e-4f);
}
TEST(math_base, FloorPowerOf10)
{
EXPECT_EQ(floor_power_of_10(0), 0);
EXPECT_EQ(floor_power_of_10(1), 1);
EXPECT_EQ(floor_power_of_10(1e-6f), 1e-6f);
EXPECT_NEAR(floor_power_of_10(100.1f), 100.0f, 1e-4f);
EXPECT_NEAR(floor_power_of_10(99.9f), 10.0f, 1e-4f);
}
TEST(math_base, MinVectorAndFloat)
{
EXPECT_EQ(math::min(1.0f, 2.0f), 1.0f);
}
TEST(math_base, ClampInt)
{
EXPECT_EQ(math::clamp(111, -50, 101), 101);
}
TEST(math_base, StepLessThan)
{
EXPECT_EQ(math::step(0.5f, 0.3f), 0.0f);
}
TEST(math_base, StepGreaterThan)
{
EXPECT_EQ(math::step(0.5f, 0.6f), 1.0f);
}
TEST(math_base, StepExact)
{
EXPECT_EQ(math::step(0.5f, 0.5f), 1.0f);
}
TEST(math_base, Midpoint)
{
EXPECT_NEAR(math::midpoint(100.0f, 200.0f), 150.0f, 1e-4f);
}
TEST(math_base, InterpolateInt)
{
EXPECT_EQ(math::interpolate(100, 200, 0.4f), 140);
}
TEST(math_base, FlooredFMod)
{
EXPECT_FLOAT_EQ(floored_fmod(3.27f, 1.57f), 0.12999988f);
EXPECT_FLOAT_EQ(floored_fmod(327.f, 47.f), 45.f);
EXPECT_FLOAT_EQ(floored_fmod(-0.1f, 1.0f), 0.9f);
EXPECT_FLOAT_EQ(floored_fmod(-0.9f, 1.0f), 0.1f);
EXPECT_FLOAT_EQ(floored_fmod(-100.1f, 1.0f), 0.90000153f);
EXPECT_FLOAT_EQ(floored_fmod(-0.1f, 12345.0f), 12344.9f);
EXPECT_FLOAT_EQ(floored_fmod(12345.1f, 12345.0f), 0.099609375f);
EXPECT_FLOAT_EQ(floored_fmod(12344.999f, 12345.0f), 12344.999f);
EXPECT_FLOAT_EQ(floored_fmod(12345.0f, 12345.0f), 0.0f);
}
TEST(math_base, ModPeriodic)
{
EXPECT_FLOAT_EQ(math::mod_periodic(3.27f, 1.57f), 0.12999988f);
EXPECT_FLOAT_EQ(math::mod_periodic(327.f, 47.f), 45.f);
EXPECT_FLOAT_EQ(math::mod_periodic(-0.1f, 1.0f), 0.9f);
EXPECT_FLOAT_EQ(math::mod_periodic(-0.9f, 1.0f), 0.1f);
EXPECT_FLOAT_EQ(math::mod_periodic(-100.1f, 1.0f), 0.90000153f);
EXPECT_FLOAT_EQ(math::mod_periodic(-0.1f, 12345.0f), 12344.9f);
EXPECT_FLOAT_EQ(math::mod_periodic(12345.1f, 12345.0f), 0.099609375f);
EXPECT_FLOAT_EQ(math::mod_periodic(12344.999f, 12345.0f), 12344.999f);
EXPECT_FLOAT_EQ(math::mod_periodic(12345.0f, 12345.0f), 0.0f);
EXPECT_EQ(math::mod_periodic(1, 10), 1);
EXPECT_EQ(math::mod_periodic(11, 10), 1);
EXPECT_EQ(math::mod_periodic(-1, 10), 9);
EXPECT_EQ(math::mod_periodic(-11, 10), 9);
EXPECT_EQ(math::mod_periodic(1, 1), 0);
EXPECT_EQ(math::mod_periodic(0, 99999), 0);
EXPECT_EQ(math::mod_periodic(99999, 99999), 0);
EXPECT_EQ(
math::mod_periodic(std::numeric_limits<int>::max() / 2, std::numeric_limits<int>::max() / 2),
0);
EXPECT_EQ(
math::mod_periodic(std::numeric_limits<int>::min() / 2, std::numeric_limits<int>::max() / 2),
std::numeric_limits<int>::max() / 2 - 1);
EXPECT_EQ(math::mod_periodic<int64_t>(1, 10), 1);
EXPECT_EQ(math::mod_periodic<int64_t>(11, 10), 1);
EXPECT_EQ(math::mod_periodic<int64_t>(-1, 10), 9);
EXPECT_EQ(math::mod_periodic<int64_t>(-11, 10), 9);
EXPECT_EQ(math::mod_periodic<int64_t>(1, 1), 0);
EXPECT_EQ(math::mod_periodic<int64_t>(0, 99999), 0);
EXPECT_EQ(math::mod_periodic<int64_t>(99999, 99999), 0);
}
} // namespace blender::tests
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