//----------------------------------------------------------------------------// // // // ozz-animation is hosted at http://github.com/guillaumeblanc/ozz-animation // // and distributed under the MIT License (MIT). // // // // Copyright (c) Guillaume Blanc // // // // Permission is hereby granted, free of charge, to any person obtaining a // // copy of this software and associated documentation files (the "Software"), // // to deal in the Software without restriction, including without limitation // // the rights to use, copy, modify, merge, publish, distribute, sublicense, // // and/or sell copies of the Software, and to permit persons to whom the // // Software is furnished to do so, subject to the following conditions: // // // // The above copyright notice and this permission notice shall be included in // // all copies or substantial portions of the Software. // // // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL // // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING // // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER // // DEALINGS IN THE SOFTWARE. // // // //----------------------------------------------------------------------------// #include "ozz/base/maths/vec_float.h" #include "gtest/gtest.h" #include "ozz/base/gtest_helper.h" #include "ozz/base/maths/gtest_math_helper.h" using ozz::math::Float2; using ozz::math::Float3; using ozz::math::Float4; TEST(VectorLoad4, ozz_math) { EXPECT_FLOAT4_EQ(Float4(46.f), 46.f, 46.f, 46.f, 46.f); EXPECT_FLOAT4_EQ(Float4(-1.f, 0.f, 1.f, 2.f), -1.f, 0.f, 1.f, 2.f); const Float3 f3(-1.f, 0.f, 1.f); EXPECT_FLOAT4_EQ(Float4(f3, 2.f), -1.f, 0.f, 1.f, 2.f); const Float2 f2(-1.f, 0.f); EXPECT_FLOAT4_EQ(Float4(f2, 1.f, 2.f), -1.f, 0.f, 1.f, 2.f); } TEST(VectorLoad3, ozz_math) { EXPECT_FLOAT3_EQ(Float3(46.f), 46.f, 46.f, 46.f); EXPECT_FLOAT3_EQ(Float3(-1.f, 0.f, 1.f), -1.f, 0.f, 1.f); const Float2 f2(-1.f, 0.f); EXPECT_FLOAT3_EQ(Float3(f2, 1.f), -1.f, 0.f, 1.f); } TEST(VectorLoad2, ozz_math) { EXPECT_FLOAT2_EQ(Float2(46.f), 46.f, 46.f); EXPECT_FLOAT2_EQ(Float2(-1.f, 0.f), -1.f, 0.f); } TEST(VectorConstant4, ozz_math) { EXPECT_FLOAT4_EQ(Float4::zero(), 0.f, 0.f, 0.f, 0.f); EXPECT_FLOAT4_EQ(Float4::one(), 1.f, 1.f, 1.f, 1.f); EXPECT_FLOAT4_EQ(Float4::x_axis(), 1.f, 0.f, 0.f, 0.f); EXPECT_FLOAT4_EQ(Float4::y_axis(), 0.f, 1.f, 0.f, 0.f); EXPECT_FLOAT4_EQ(Float4::z_axis(), 0.f, 0.f, 1.f, 0.f); EXPECT_FLOAT4_EQ(Float4::w_axis(), 0.f, 0.f, 0.f, 1.f); } TEST(VectorConstant3, ozz_math) { EXPECT_FLOAT3_EQ(Float3::zero(), 0.f, 0.f, 0.f); EXPECT_FLOAT3_EQ(Float3::one(), 1.f, 1.f, 1.f); EXPECT_FLOAT3_EQ(Float3::x_axis(), 1.f, 0.f, 0.f); EXPECT_FLOAT3_EQ(Float3::y_axis(), 0.f, 1.f, 0.f); EXPECT_FLOAT3_EQ(Float3::z_axis(), 0.f, 0.f, 1.f); } TEST(VectorConstant2, ozz_math) { EXPECT_FLOAT2_EQ(Float2::zero(), 0.f, 0.f); EXPECT_FLOAT2_EQ(Float2::one(), 1.f, 1.f); EXPECT_FLOAT2_EQ(Float2::x_axis(), 1.f, 0.f); EXPECT_FLOAT2_EQ(Float2::y_axis(), 0.f, 1.f); } TEST(VectorArithmetic4, ozz_math) { const Float4 a(.5f, 1.f, 2.f, 3.f); const Float4 b(4.f, 5.f, -6.f, 7.f); const Float4 add = a + b; EXPECT_FLOAT4_EQ(add, 4.5f, 6.f, -4.f, 10.f); const Float4 sub = a - b; EXPECT_FLOAT4_EQ(sub, -3.5f, -4.f, 8.f, -4.f); const Float4 neg = -b; EXPECT_FLOAT4_EQ(neg, -4.f, -5.f, 6.f, -7.f); const Float4 mul = a * b; EXPECT_FLOAT4_EQ(mul, 2.f, 5.f, -12.f, 21.f); const Float4 mul_scal = a * 2.f; EXPECT_FLOAT4_EQ(mul_scal, 1.f, 2.f, 4.f, 6.f); const Float4 div = a / b; EXPECT_FLOAT4_EQ(div, .5f / 4.f, 1.f / 5.f, -2.f / 6.f, 3.f / 7.f); const Float4 div_scal = a / 2.f; EXPECT_FLOAT4_EQ(div_scal, .5f / 2.f, 1.f / 2.f, 2.f / 2.f, 3.f / 2.f); const float hadd4 = HAdd(a); EXPECT_FLOAT_EQ(hadd4, 6.5f); const float dot = Dot(a, b); EXPECT_FLOAT_EQ(dot, 16.f); const float length = Length(a); EXPECT_FLOAT_EQ(length, std::sqrt(14.25f)); const float length2 = LengthSqr(a); EXPECT_FLOAT_EQ(length2, 14.25f); EXPECT_ASSERTION(Normalize(Float4::zero()), "is not normalizable"); EXPECT_FALSE(IsNormalized(a)); const Float4 normalize = Normalize(a); EXPECT_TRUE(IsNormalized(normalize)); EXPECT_FLOAT4_EQ(normalize, .13245323f, .26490647f, .52981293f, .79471946f); EXPECT_ASSERTION(NormalizeSafe(a, a), "_safer is not normalized"); const Float4 safe(1.f, 0.f, 0.f, 0.f); const Float4 normalize_safe = NormalizeSafe(a, safe); EXPECT_TRUE(IsNormalized(normalize_safe)); EXPECT_FLOAT4_EQ(normalize_safe, .13245323f, .26490647f, .52981293f, .79471946f); const Float4 normalize_safer = NormalizeSafe(Float4::zero(), safe); EXPECT_TRUE(IsNormalized(normalize_safer)); EXPECT_FLOAT4_EQ(normalize_safer, safe.x, safe.y, safe.z, safe.w); const Float4 lerp_0 = Lerp(a, b, 0.f); EXPECT_FLOAT4_EQ(lerp_0, a.x, a.y, a.z, a.w); const Float4 lerp_1 = Lerp(a, b, 1.f); EXPECT_FLOAT4_EQ(lerp_1, b.x, b.y, b.z, b.w); const Float4 lerp_0_5 = Lerp(a, b, .5f); EXPECT_FLOAT4_EQ(lerp_0_5, (a.x + b.x) * .5f, (a.y + b.y) * .5f, (a.z + b.z) * .5f, (a.w + b.w) * .5f); const Float4 lerp_2 = Lerp(a, b, 2.f); EXPECT_FLOAT4_EQ(lerp_2, 2.f * b.x - a.x, 2.f * b.y - a.y, 2.f * b.z - a.z, 2.f * b.w - a.w); } TEST(VectorArithmetic3, ozz_math) { const Float3 a(.5f, 1.f, 2.f); const Float3 b(4.f, 5.f, -6.f); const Float3 add = a + b; EXPECT_FLOAT3_EQ(add, 4.5f, 6.f, -4.f); const Float3 sub = a - b; EXPECT_FLOAT3_EQ(sub, -3.5f, -4.f, 8.f); const Float3 neg = -b; EXPECT_FLOAT3_EQ(neg, -4.f, -5.f, 6.f); const Float3 mul = a * b; EXPECT_FLOAT3_EQ(mul, 2.f, 5.f, -12.f); const Float3 mul_scal = a * 2.f; EXPECT_FLOAT3_EQ(mul_scal, 1.f, 2.f, 4.f); const Float3 div = a / b; EXPECT_FLOAT3_EQ(div, .5f / 4.f, 1.f / 5.f, -2.f / 6.f); const Float3 div_scal = a / 2.f; EXPECT_FLOAT3_EQ(div_scal, .5f / 2.f, 1.f / 2.f, 2.f / 2.f); const float hadd4 = HAdd(a); EXPECT_FLOAT_EQ(hadd4, 3.5f); const float dot = Dot(a, b); EXPECT_FLOAT_EQ(dot, -5.f); const Float3 cross = Cross(a, b); EXPECT_FLOAT3_EQ(cross, -16.f, 11.f, -1.5f); const float length = Length(a); EXPECT_FLOAT_EQ(length, std::sqrt(5.25f)); const float length2 = LengthSqr(a); EXPECT_FLOAT_EQ(length2, 5.25f); EXPECT_ASSERTION(Normalize(Float3::zero()), "is not normalizable"); EXPECT_FALSE(IsNormalized(a)); const Float3 normalize = Normalize(a); EXPECT_TRUE(IsNormalized(normalize)); EXPECT_FLOAT3_EQ(normalize, .21821788f, .43643576f, .87287152f); EXPECT_ASSERTION(NormalizeSafe(a, a), "_safer is not normalized"); const Float3 safe(1.f, 0.f, 0.f); const Float3 normalize_safe = NormalizeSafe(a, safe); EXPECT_TRUE(IsNormalized(normalize_safe)); EXPECT_FLOAT3_EQ(normalize_safe, .21821788f, .43643576f, .87287152f); const Float3 normalize_safer = NormalizeSafe(Float3::zero(), safe); EXPECT_TRUE(IsNormalized(normalize_safer)); EXPECT_FLOAT3_EQ(normalize_safer, safe.x, safe.y, safe.z); const Float3 lerp_0 = Lerp(a, b, 0.f); EXPECT_FLOAT3_EQ(lerp_0, a.x, a.y, a.z); const Float3 lerp_1 = Lerp(a, b, 1.f); EXPECT_FLOAT3_EQ(lerp_1, b.x, b.y, b.z); const Float3 lerp_0_5 = Lerp(a, b, .5f); EXPECT_FLOAT3_EQ(lerp_0_5, (a.x + b.x) * .5f, (a.y + b.y) * .5f, (a.z + b.z) * .5f); const Float3 lerp_2 = Lerp(a, b, 2.f); EXPECT_FLOAT3_EQ(lerp_2, 2.f * b.x - a.x, 2.f * b.y - a.y, 2.f * b.z - a.z); } TEST(VectorArithmetic2, ozz_math) { const Float2 a(.5f, 1.f); const Float2 b(4.f, 5.f); const Float2 add = a + b; EXPECT_FLOAT2_EQ(add, 4.5f, 6.f); const Float2 sub = a - b; EXPECT_FLOAT2_EQ(sub, -3.5f, -4.f); const Float2 neg = -b; EXPECT_FLOAT2_EQ(neg, -4.f, -5.f); const Float2 mul = a * b; EXPECT_FLOAT2_EQ(mul, 2.f, 5.f); const Float2 mul_scal = a * 2.f; EXPECT_FLOAT2_EQ(mul_scal, 1.f, 2.f); const Float2 div = a / b; EXPECT_FLOAT2_EQ(div, .5f / 4.f, 1.f / 5.f); const Float2 div_scal = a / 2.f; EXPECT_FLOAT2_EQ(div_scal, .5f / 2.f, 1.f / 2.f); const float hadd4 = HAdd(a); EXPECT_FLOAT_EQ(hadd4, 1.5f); const float dot = Dot(a, b); EXPECT_FLOAT_EQ(dot, 7.f); const float length = Length(a); EXPECT_FLOAT_EQ(length, std::sqrt(1.25f)); const float length2 = LengthSqr(a); EXPECT_FLOAT_EQ(length2, 1.25f); EXPECT_ASSERTION(Normalize(Float2::zero()), "is not normalizable"); EXPECT_FALSE(IsNormalized(a)); const Float2 normalize = Normalize(a); EXPECT_TRUE(IsNormalized(normalize)); EXPECT_FLOAT2_EQ(normalize, .44721359f, .89442718f); EXPECT_ASSERTION(NormalizeSafe(a, a), "_safer is not normalized"); const Float2 safe(1.f, 0.f); const Float2 normalize_safe = NormalizeSafe(a, safe); EXPECT_TRUE(IsNormalized(normalize_safe)); EXPECT_FLOAT2_EQ(normalize_safe, .44721359f, .89442718f); const Float2 normalize_safer = NormalizeSafe(Float2::zero(), safe); EXPECT_TRUE(IsNormalized(normalize_safer)); EXPECT_FLOAT2_EQ(normalize_safer, safe.x, safe.y); const Float2 lerp_0 = Lerp(a, b, 0.f); EXPECT_FLOAT2_EQ(lerp_0, a.x, a.y); const Float2 lerp_1 = Lerp(a, b, 1.f); EXPECT_FLOAT2_EQ(lerp_1, b.x, b.y); const Float2 lerp_0_5 = Lerp(a, b, .5f); EXPECT_FLOAT2_EQ(lerp_0_5, (a.x + b.x) * .5f, (a.y + b.y) * .5f); const Float2 lerp_2 = Lerp(a, b, 2.f); EXPECT_FLOAT2_EQ(lerp_2, 2.f * b.x - a.x, 2.f * b.y - a.y); } TEST(VectorComparison4, ozz_math) { const Float4 a(.5f, 1.f, 2.f, 3.f); const Float4 b(4.f, 5.f, -6.f, 7.f); const Float4 c(4.f, 5.f, 6.f, 7.f); const Float4 d(4.f, 5.f, 6.f, 7.1f); const Float4 min = Min(a, b); EXPECT_FLOAT4_EQ(min, .5f, 1.f, -6.f, 3.f); const Float4 max = Max(a, b); EXPECT_FLOAT4_EQ(max, 4.f, 5.f, 2.f, 7.f); EXPECT_FLOAT4_EQ(Clamp(a, Float4(-12.f, 2.f, 9.f, 3.f), c), .5f, 2.f, 6.f, 3.f); EXPECT_TRUE(a < c); EXPECT_TRUE(a <= c); EXPECT_TRUE(c <= c); EXPECT_TRUE(c > a); EXPECT_TRUE(c >= a); EXPECT_TRUE(a >= a); EXPECT_TRUE(a == a); EXPECT_TRUE(a != b); EXPECT_TRUE(Compare(a, a, 0.f)); EXPECT_TRUE(Compare(c, d, .2f)); EXPECT_FALSE(Compare(c, d, .05f)); } TEST(VectorComparison3, ozz_math) { const Float3 a(.5f, -1.f, 2.f); const Float3 b(4.f, 5.f, -6.f); const Float3 c(4.f, 5.f, 6.f); const Float3 d(4.f, 5.f, 6.1f); const Float3 min = Min(a, b); EXPECT_FLOAT3_EQ(min, .5f, -1.f, -6.f); const Float3 max = Max(a, b); EXPECT_FLOAT3_EQ(max, 4.f, 5.f, 2.f); EXPECT_FLOAT3_EQ(Clamp(a, Float3(-12.f, 2.f, 9.f), c), .5f, 2.f, 6.f); EXPECT_TRUE(a < c); EXPECT_TRUE(a <= c); EXPECT_TRUE(c <= c); EXPECT_TRUE(c > a); EXPECT_TRUE(c >= a); EXPECT_TRUE(a >= a); EXPECT_TRUE(a == a); EXPECT_TRUE(a != b); EXPECT_TRUE(Compare(a, a, 1e-3f)); EXPECT_TRUE(Compare(c, d, .2f)); EXPECT_FALSE(Compare(c, d, .05f)); } TEST(VectorComparison2, ozz_math) { const Float2 a(.5f, 1.f); const Float2 b(4.f, -5.f); const Float2 c(4.f, 5.f); const Float2 d(4.f, 5.1f); const Float2 min = Min(a, b); EXPECT_FLOAT2_EQ(min, .5f, -5.f); const Float2 max = Max(a, b); EXPECT_FLOAT2_EQ(max, 4.f, 1.f); EXPECT_FLOAT2_EQ(Clamp(a, Float2(-12.f, 2.f), c), .5f, 2.f); EXPECT_TRUE(a < c); EXPECT_TRUE(a <= c); EXPECT_TRUE(c <= c); EXPECT_TRUE(c > a); EXPECT_TRUE(c >= a); EXPECT_TRUE(a >= a); EXPECT_TRUE(a == a); EXPECT_TRUE(a != b); EXPECT_TRUE(Compare(a, a, 1e-3f)); EXPECT_TRUE(Compare(c, d, .2f)); EXPECT_FALSE(Compare(c, d, .05f)); }