BLI_math_vector_test.cc

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/* SPDX-FileCopyrightText: 2023 Blender Authors
 *
 * SPDX-License-Identifier: Apache-2.0 */
 
#include "testing/testing.h"
 
#include "BLI_math_vector.h"
#include "BLI_math_vector.hh"
#include "BLI_vector.hh"
 
namespace blender::tests {
 
TEST(math_vector, ClampVecWithFloats)
{
  const float min = 0.0f;
  const float max = 1.0f;
 
  float a[2] = {-1.0f, -1.0f};
  clamp_v2(a, min, max);
  EXPECT_FLOAT_EQ(0.0f, a[0]);
  EXPECT_FLOAT_EQ(0.0f, a[1]);
 
  float b[2] = {0.5f, 0.5f};
  clamp_v2(b, min, max);
  EXPECT_FLOAT_EQ(0.5f, b[0]);
  EXPECT_FLOAT_EQ(0.5f, b[1]);
 
  float c[2] = {2.0f, 2.0f};
  clamp_v2(c, min, max);
  EXPECT_FLOAT_EQ(1.0f, c[0]);
  EXPECT_FLOAT_EQ(1.0f, c[1]);
}
 
TEST(math_vector, test_invert_v3_safe)
{
  float v3_with_zeroes[3] = {0.0f, 2.0f, 3.0f};
  invert_v3_safe(v3_with_zeroes);
  EXPECT_FLOAT_EQ(0.0f, v3_with_zeroes[0]);
  EXPECT_FLOAT_EQ(0.5f, v3_with_zeroes[1]);
  EXPECT_FLOAT_EQ(0.33333333333f, v3_with_zeroes[2]);
 
  float v3_without_zeroes[3] = {1.0f, 2.0f, 3.0f};
  float inverted_unsafe[3] = {1.0f, 2.0f, 3.0f};
  invert_v3_safe(v3_without_zeroes);
  invert_v3(inverted_unsafe);
 
  EXPECT_FLOAT_EQ(inverted_unsafe[0], v3_without_zeroes[0]);
  EXPECT_FLOAT_EQ(inverted_unsafe[1], v3_without_zeroes[1]);
  EXPECT_FLOAT_EQ(inverted_unsafe[2], v3_without_zeroes[2]);
}
 
TEST(math_vector, Clamp)
{
  const int3 value(0, 100, -100);
  const int3 min(5, 40, -95);
  const int3 max(7, 45, 5);
 
  const int3 result = math::clamp(value, min, max);
  EXPECT_EQ(result.x, 5);
  EXPECT_EQ(result.y, 45);
  EXPECT_EQ(result.z, -95);
 
  const int3 result_2 = math::clamp(value, -50, 50);
  EXPECT_EQ(result_2.x, 0);
  EXPECT_EQ(result_2.y, 50);
  EXPECT_EQ(result_2.z, -50);
}
 
TEST(math_vector, MinList)
{
  EXPECT_EQ(float3(1.0, 2.0, 3.0), math::min({float3(1.0, 2.0, 3.0)}));
  EXPECT_EQ(float3(0.0, 2.0, 2.0), math::min({float3(1.0, 2.0, 3.0), float3(0.0, 5.0, 2.0)}));
  EXPECT_EQ(float3(0.0, 2.0, 1.5),
            math::min({float3(1.0, 2.0, 3.0), float3(0.0, 5.0, 2.0), float3(2.0, 4.0, 1.5)}));
 
  const float inf = std::numeric_limits<float>::infinity();
  EXPECT_EQ(float3(0.0, -inf, -inf),
            math::min({float3(inf, 2.0, 3.0), float3(0.0, -inf, inf), float3(2.0, 4.0, -inf)}));
 
  const float nan = std::numeric_limits<float>::quiet_NaN();
  const float3 result = math::min(
      {float3(nan, 2.0, 3.0), float3(0.0, nan, 2.0), float3(2.0, 4.0, nan)});
  EXPECT_TRUE(std::isnan(result.x));
  EXPECT_EQ(result.y, 2.0);
  EXPECT_EQ(result.z, 2.0);
}
 
TEST(math_vector, MaxList)
{
  EXPECT_EQ(float3(1.0, 2.0, 3.0), math::max({float3(1.0, 2.0, 3.0)}));
  EXPECT_EQ(float3(1.0, 5.0, 3.0), math::max({float3(1.0, 2.0, 3.0), float3(0.0, 5.0, 2.0)}));
  EXPECT_EQ(float3(2.0, 5.0, 3.0),
            math::max({float3(1.0, 2.0, 3.0), float3(0.0, 5.0, 2.0), float3(2.0, 4.0, 1.5)}));
 
  const float inf = std::numeric_limits<float>::infinity();
  EXPECT_EQ(float3(inf, 4.0, inf),
            math::max({float3(inf, 2.0, 3.0), float3(0.0, -inf, inf), float3(2.0, 4.0, -inf)}));
 
  const float nan = std::numeric_limits<float>::quiet_NaN();
  const float3 result = math::max(
      {float3(nan, 2.0, 3.0), float3(0.0, nan, 2.0), float3(2.0, 4.0, nan)});
  EXPECT_TRUE(std::isnan(result.x));
  EXPECT_EQ(result.y, 4.0);
  EXPECT_EQ(result.z, 3.0);
}
 
TEST(math_vector, InterpolateInt)
{
  const int3 a(0, -100, 50);
  const int3 b(0, 100, 100);
  const int3 result = math::interpolate(a, b, 0.75);
  EXPECT_EQ(result.x, 0);
  EXPECT_EQ(result.y, 50);
  EXPECT_EQ(result.z, 87);
}
 
TEST(math_vector, InterpolateFloat)
{
  const float3 a(40.0f, -100.0f, 50.0f);
  const float3 b(20.0f, 100.0f, 100.0f);
  const float3 result = math::interpolate(a, b, 0.5);
  EXPECT_FLOAT_EQ(result.x, 30.0f);
  EXPECT_FLOAT_EQ(result.y, 0.0f);
  EXPECT_FLOAT_EQ(result.z, 75.0f);
}
 
TEST(math_vector, CeilToMultiple)
{
  const int3 a(21, 16, 0);
  const int3 b(8, 16, 15);
  const int3 result = math::ceil_to_multiple(a, b);
  EXPECT_FLOAT_EQ(result.x, 24);
  EXPECT_FLOAT_EQ(result.y, 16);
  EXPECT_FLOAT_EQ(result.z, 0);
}
 
TEST(math_vector, DivideCeil)
{
  const int3 a(21, 16, 0);
  const int3 b(8, 16, 15);
  const int3 result = math::divide_ceil(a, b);
  EXPECT_FLOAT_EQ(result.x, 3);
  EXPECT_FLOAT_EQ(result.y, 1);
  EXPECT_FLOAT_EQ(result.z, 0);
}
 
TEST(math_vector, Sign)
{
  const int3 a(-21, 16, 0);
  const int3 result = math::sign(a);
  EXPECT_FLOAT_EQ(result.x, -1);
  EXPECT_FLOAT_EQ(result.y, 1);
  EXPECT_FLOAT_EQ(result.z, 0);
}
 
TEST(math_vector, sqrt)
{
  const float3 a(1.0f, 4.0f, 9.0f);
  const float3 result = math::sqrt(a);
  EXPECT_NEAR(result.x, 1.0f, 1e-6f);
  EXPECT_NEAR(result.y, 2.0f, 1e-6f);
  EXPECT_NEAR(result.z, 3.0f, 1e-6f);
}
 
TEST(math_vector, safe_sqrt)
{
  const float3 a(1.0f, -4.0f, 9.0f);
  const float3 result = math::safe_sqrt(a);
  EXPECT_NEAR(result.x, 1.0f, 1e-6f);
  EXPECT_NEAR(result.y, 0.0f, 1e-6f);
  EXPECT_NEAR(result.z, 3.0f, 1e-6f);
}
 
TEST(math_vector, rcp)
{
  const float3 a(1.0f, 2.0f, 4.0f);
  const float3 result = math::rcp(a);
  EXPECT_NEAR(result.x, 1.0f, 1e-6f);
  EXPECT_NEAR(result.y, 0.5f, 1e-6f);
  EXPECT_NEAR(result.z, 0.25f, 1e-6f);
}
 
TEST(math_vector, safe_rcp)
{
  const float3 a(1.0f, 0.0f, 4.0f);
  const float3 result = math::safe_rcp(a);
  EXPECT_NEAR(result.x, 1.0f, 1e-6f);
  EXPECT_NEAR(result.y, 0.0f, 1e-6f);
  EXPECT_NEAR(result.z, 0.25f, 1e-6f);
}
 
TEST(math_vector, exp)
{
  const float3 a(1.0f, 2.0f, 3.0f);
  const float3 result = math::exp(a);
  EXPECT_NEAR(result.x, 2.718281828459045f, 1e-6f);
  EXPECT_NEAR(result.y, 7.38905609893065f, 1e-6f);
  EXPECT_NEAR(result.z, 20.085536923187668f, 1e-6f);
}
 
TEST(math_vector, square)
{
  const float3 a(1.0f, 2.0f, 3.0f);
  const float3 result = math::square(a);
  EXPECT_NEAR(result.x, 1.0f, 1e-6f);
  EXPECT_NEAR(result.y, 4.0f, 1e-6f);
  EXPECT_NEAR(result.z, 9.0f, 1e-6f);
}
 
}  // namespace blender::tests