BlackMATov/vmath.hpp
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e5216a013a080be97f2ac8f4f41d4b1085cff43b
vmath.hpp/untests/vmath_mat_fun_tests.cpp
BlackMATov e5216a013a warning fixes
2021-02-26 12:11:00 +07:00

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/*******************************************************************************
* This file is part of the "https://github.com/blackmatov/vmath.hpp"
* For conditions of distribution and use, see copyright notice in LICENSE.md
* Copyright (C) 2020-2021, by Matvey Cherevko (blackmatov@gmail.com)
******************************************************************************/
#include "vmath_tests.hpp"
namespace
{
using namespace vmath_hpp;
using namespace vmath_tests;
template < typename T, int Size >
constexpr mat<T, Size> generate_frank_matrix() {
mat<T, Size> m;
for ( int i = 1; i <= Size; ++i ) {
for ( int j = 1; j <= Size; ++j ) {
if ( j < i - Size ) {
m[unsigned(i - 1)][unsigned(j - 1)] = 0;
} else if ( j == (i - 1) ) {
m[unsigned(i - 1)][unsigned(j - 1)] = Size + 1 - i;
} else {
m[unsigned(i - 1)][unsigned(j - 1)] = Size + 1 - j;
}
}
}
return m;
}
}
TEST_CASE("vmath/mat_fun") {
SUBCASE("operators") {
STATIC_CHECK(+int2x2(1,-2,3,-4) == int2x2(1,-2,3,-4));
STATIC_CHECK(-int2x2(1,-2,3,-4) == int2x2(-1,2,-3,4));
STATIC_CHECK(~uint2x2(0xF0F0F0F0,0x0F0F0F0F,0xF0F0F0F0,0x0F0F0F0F) == uint2x2(0x0F0F0F0F,0xF0F0F0F0,0x0F0F0F0F,0xF0F0F0F0));
STATIC_CHECK((!int2x2(-1,0,1,2)) == bool2x2(false,true,false,false));
STATIC_CHECK(int2x2(1,2,3,4) + 2 == int2x2(3,4,5,6));
STATIC_CHECK(int2x2(1,2,3,4) - 2 == int2x2(-1,0,1,2));
STATIC_CHECK(int2x2(1,2,3,4) * 2 == int2x2(2,4,6,8));
STATIC_CHECK(int2x2(1,2,3,4) / 2 == int2x2(0,1,1,2));
STATIC_CHECK((int2x2(11,12,11,12) & 6) == int2x2(2,4,2,4));
STATIC_CHECK((int2x2(11,12,11,12) | 6) == int2x2(15,14,15,14));
STATIC_CHECK((int2x2(11,12,11,12) ^ 6) == int2x2(13,10,13,10));
STATIC_CHECK((int2x2(1,0,1,0) && 1) == bool2x2(1,0,1,0));
STATIC_CHECK((int2x2(1,0,1,0) || 1) == bool2x2(1,1,1,1));
STATIC_CHECK(4 + int2x2(1,2,3,4) == int2x2(5,6,7,8));
STATIC_CHECK(4 - int2x2(1,2,3,4) == int2x2(3,2,1,0));
STATIC_CHECK(4 * int2x2(1,2,3,4) == int2x2(4,8,12,16));
STATIC_CHECK(4 / int2x2(1,2,3,4) == int2x2(4,2,1,1));
STATIC_CHECK((6 &int2x2(11,12,11,12)) == int2x2(2,4,2,4));
STATIC_CHECK((6 |int2x2(11,12,11,12)) == int2x2(15,14,15,14));
STATIC_CHECK((6 ^ int2x2(11,12,11,12)) == int2x2(13,10,13,10));
STATIC_CHECK((1 && int2x2(1,0,1,0)) == bool2x2(1,0,1,0));
STATIC_CHECK((1 || int2x2(1,0,1,0)) == bool2x2(1,1,1,1));
STATIC_CHECK(int2x2(1,2,3,4) + int2x2(5,6,7,8) == int2x2(6,8,10,12));
STATIC_CHECK(int2x2(1,2,3,4) - int2x2(5,6,7,8) == int2x2(-4,-4,-4,-4));
STATIC_CHECK(int2x2() * int2x2() == int2x2());
STATIC_CHECK(int3x3() * int3x3() == int3x3());
STATIC_CHECK(int2(1,2) * int2x2() == int2(1,2));
STATIC_CHECK(int3(1,2,3) * int3x3() == int3(1,2,3));
STATIC_CHECK(int4(1,2,3,4) * int4x4() == int4(1,2,3,4));
STATIC_CHECK((int2x2(6,7,6,7) & int2x2(11,12,11,12)) == int2x2(2,4,2,4));
STATIC_CHECK((int2x2(6,7,6,7) | int2x2(11,12,11,12)) == int2x2(15,15,15,15));
STATIC_CHECK((int2x2(6,7,6,7) ^ int2x2(11,12,11,12)) == int2x2(13,11,13,11));
STATIC_CHECK((int2x2(0,1,0,1) && int2x2(1,0,1,0)) == bool2x2(0,0,0,0));
STATIC_CHECK((int2x2(0,1,0,1) || int2x2(1,0,1,0)) == bool2x2(1,1,1,1));
{
int2x2 v{1,2,3,4};
CHECK(&v == &(v += 3));
CHECK(v == int2x2{4,5,6,7});
CHECK(&v == &(v += int2x2{1,2,3,4}));
CHECK(v == int2x2{5,7,9,11});
}
{
int2x2 v{4,5,6,7};
CHECK(&v == &(v -= 3));
CHECK(v == int2x2{1,2,3,4});
CHECK(&v == &(v -= int2x2{2,4,6,8}));
CHECK(v == int2x2{-1,-2,-3,-4});
}
{
int2x2 v{1,2,3,4};
CHECK(&v == &(v *= 3));
CHECK(v == int2x2{3,6,9,12});
}
{
int4 v{0, 0, 0, 1};
CHECK(&v == &(v *= translate(int3{1,2,3})));
CHECK(v == uapprox4(1,2,3,1));
}
{
int3 v{1, 2, 3};
CHECK(&v == &(v *= int3x3(scale(int3{2,3,4}))));
CHECK(v == int3(2,6,12));
}
{
int4x4 v = translate(int3{1, 2, 3});
CHECK(&v == &(v *= translate(int3{1,2,3})));
CHECK(v == translate(int3{2,4,6}));
}
{
int3x3 v = int3x3(scale(int3{1, 2, 3}));
CHECK(&v == &(v *= int3x3(scale(int3{2,3,4}))));
CHECK(v == int3x3(scale(int3{2,6,12})));
}
{
int2x2 v1{11,12,11,12};
CHECK(&v1 == &(v1 &= 6));
CHECK(v1 == int2x2(2,4,2,4));
int2x2 v2{6,7,6,7};
CHECK(&v2 == &(v2 &= int2x2(11,12,11,12)));
CHECK(v2 == int2x2(2,4,2,4));
}
{
int2x2 v1{11,12,11,12};
CHECK(&v1 == &(v1 |= 6));
CHECK(v1 == int2x2(15,14,15,14));
int2x2 v2{6,7,6,7};
CHECK(&v2 == &(v2 |= int2x2(11,12,11,12)));
CHECK(v2 == int2x2(15,15,15,15));
}
{
int2x2 v1{11,12,11,12};
CHECK(&v1 == &(v1 ^= 6));
CHECK(v1 == int2x2(13,10,13,10));
int2x2 v2{6,7,6,7};
CHECK(&v2 == &(v2 ^= int2x2(11,12,11,12)));
CHECK(v2 == int2x2(13,11,13,11));
}
}
SUBCASE("Operators2") {
STATIC_CHECK(int2x2{} + 0.0 == double2x2{});
STATIC_CHECK(0.0 + int2x2{} == double2x2{});
STATIC_CHECK(int2x2{} + double2x2{} == double2x2{2.0});
STATIC_CHECK(double2x2{} + int2x2{} == double2x2{2.0});
STATIC_CHECK(int2x2{} - 0.0 == double2x2{});
STATIC_CHECK(0.0 - int2x2{} == double2x2{-1.0});
STATIC_CHECK(int2x2{} - double2x2{} == double2x2{0.0});
STATIC_CHECK(double2x2{} - int2x2{} == double2x2{0.0});
STATIC_CHECK(int2x2{} * 1.0 == double2x2{});
STATIC_CHECK(0.0 * int2x2{1} == double2x2{0.0});
STATIC_CHECK(int2{} * double2x2{} == double2{});
STATIC_CHECK(int2x2{} * double2x2{} == double2x2{});
STATIC_CHECK(double2x2{} * int2x2{1} == double2x2{});
STATIC_CHECK(int2x2{} / 1.0 == double2x2{});
STATIC_CHECK(0.0 / int2x2{1,1,1,1} == double2x2{0.0});
}
SUBCASE("Conversions2") {
{
STATIC_CHECK(double2x2(1.0) == double2x2(1));
STATIC_CHECK(double2x2(int2(1,2)) == double2x2(double2(1,2)));
STATIC_CHECK(double2x2(int2(1,2),float2(3,4)) == double2x2(1,2,3,4));
STATIC_CHECK(double2x2(int2x2(1)) == double2x2(1));
STATIC_CHECK(double2x2(int3x3(1)) == double2x2(1));
STATIC_CHECK(double2x2(int4x4(1)) == double2x2(1));
}
{
STATIC_CHECK(double3x3(1.0) == double3x3(1));
STATIC_CHECK(double3x3(int3(1,2,3)) == double3x3(double3(1,2,3)));
STATIC_CHECK(double3x3(int3(1,2,3),float3(2,3,4),uint3(3,4,5)) == double3x3(1,2,3,2,3,4,3,4,5));
STATIC_CHECK(double3x3(int2x2(1),uint2(2)) == double3x3(double2x2(1),double2(2)));
STATIC_CHECK(double3x3(int2x2(1)) == double3x3(1));
STATIC_CHECK(double3x3(int3x3(1)) == double3x3(1));
STATIC_CHECK(double3x3(int4x4(1)) == double3x3(1));
}
{
STATIC_CHECK(double4x4(1.0) == double4x4(1));
STATIC_CHECK(double4x4(int4(1,2,3,4)) == double4x4(double4(1,2,3,4)));
STATIC_CHECK(double4x4(int4(1,2,3,4),float4(2,3,4,5),uint4(3,4,5,6),int4(4,5,6,7)) == double4x4(1,2,3,4,2,3,4,5,3,4,5,6,4,5,6,7));
STATIC_CHECK(double4x4(int3x3(1),uint3(2)) == double4x4(double3x3(1),double3(2)));
STATIC_CHECK(double4x4(int2x2(1)) == double4x4(1));
STATIC_CHECK(double4x4(int3x3(1)) == double4x4(1));
STATIC_CHECK(double4x4(int4x4(1)) == double4x4(1));
}
}
SUBCASE("relational functions") {
STATIC_CHECK_FALSE(any(bool2x2(false, false, false, false)));
STATIC_CHECK(any(bool2x2(true, false, true, false)));
STATIC_CHECK(any(bool2x2(false, true, false, true)));
STATIC_CHECK(any(bool2x2(true, true, true, true)));
STATIC_CHECK_FALSE(any(int2x2(0, 0, 0, 0)));
STATIC_CHECK(any(int2x2(1, 0, 1, 0)));
STATIC_CHECK(any(int2x2(0, 1, 0, 1)));
STATIC_CHECK(any(int2x2(1, 1, 1, 1)));
STATIC_CHECK_FALSE(all(bool2x2(false, false, false, false)));
STATIC_CHECK_FALSE(all(bool2x2(true, false, true, false)));
STATIC_CHECK_FALSE(all(bool2x2(false, true, false, true)));
STATIC_CHECK(all(bool2x2(true, true, true, true)));
STATIC_CHECK_FALSE(all(int2x2(0, 0, 0, 0)));
STATIC_CHECK_FALSE(all(int2x2(1, 0, 1, 0)));
STATIC_CHECK_FALSE(all(int2x2(0, 1, 0, 1)));
STATIC_CHECK(all(int2x2(1, 1, 1, 1)));
STATIC_CHECK(approx(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(false, true, false, false));
STATIC_CHECK(approx(int2x2(1,1,1,1), int2x2(0,1,2,3), 0) == bool2x2(false, true, false, false));
STATIC_CHECK(approx(int2x2(1,1,1,1), int2x2(0,1,2,3), 1) == bool2x2(true, true, true, false));
STATIC_CHECK(approx(int2x2(1,1,1,1), int2x2(0,1,2,3), 2) == bool2x2(true, true, true, true));
STATIC_CHECK(less(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(false, false, true, true));
STATIC_CHECK(less_equal(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(false, true, true, true));
STATIC_CHECK(greater(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(true, false, false, false));
STATIC_CHECK(greater_equal(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(true, true, false, false));
STATIC_CHECK(equal_to(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(false, true, false, false));
STATIC_CHECK(not_equal_to(int2x2(1,1,1,1), int2x2(0,1,2,3)) == bool2x2(true, false, true, true));
}
SUBCASE("transpose") {
STATIC_CHECK(transpose(int2x2(
1, 2,
3, 4
)) == int2x2(
1, 3,
2, 4
));
STATIC_CHECK(transpose(int3x3(
1, 2, 3,
4, 5, 6,
7, 8, 9
)) == int3x3(
1, 4, 7,
2, 5, 8,
3, 6, 9
));
STATIC_CHECK(transpose(int4x4(
1, 2, 3, 4,
5, 6, 7, 8,
9, 10, 11, 12,
13, 14, 15, 16
)) == int4x4(
1, 5, 9, 13,
2, 6, 10, 14,
3, 7, 11, 15,
4, 8, 12, 16
));
}
SUBCASE("determinant") {
constexpr int2x2 m2{1,2,3,4};
constexpr int3x3 m3{1,2,3,4,5,6,7,8,9};
constexpr int4x4 m4{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16};
STATIC_CHECK(determinant(m2) == determinant(transpose(m2)));
STATIC_CHECK(determinant(m3) == determinant(transpose(m3)));
STATIC_CHECK(determinant(m4) == determinant(transpose(m4)));
STATIC_CHECK(determinant(generate_frank_matrix<int, 2>()) == 1);
STATIC_CHECK(determinant(generate_frank_matrix<int, 3>()) == 1);
STATIC_CHECK(determinant(generate_frank_matrix<int, 4>()) == 1);
STATIC_CHECK(determinant(transpose(generate_frank_matrix<int, 2>())) == 1);
STATIC_CHECK(determinant(transpose(generate_frank_matrix<int, 3>())) == 1);
STATIC_CHECK(determinant(transpose(generate_frank_matrix<int, 4>())) == 1);
}
SUBCASE("inverse") {
STATIC_CHECK(inverse(float2x2()) == float2x2());
STATIC_CHECK(inverse(float3x3()) == float3x3());
STATIC_CHECK(inverse(float4x4()) == float4x4());
STATIC_CHECK(inverse(float2x2(0.5)) == float2x2(2.f));
STATIC_CHECK(inverse(float3x3(0.5)) == float3x3(2.f));
STATIC_CHECK(inverse(float4x4(0.5)) == float4x4(2.f));
{
constexpr float4x4 m1 = translate(float3(1.f, 2.f, 3.f));
constexpr float4x4 rm1 = inverse(m1);
STATIC_CHECK(all(approx(
unit4_z<float> * m1 * rm1,
unit4_z<float>)));
}
{
const float3 axis2 = normalize(float3(1.f, 2.f, 3.f));
const float4x4 m2 = rotate(0.5f,axis2);
const float4x4 rm2 = inverse(m2);
CHECK(all(approx(
unit4_z<float> * m2 * rm2,
unit4_z<float>)));
}
{
const float3 axis3 = normalize(float3(1.f, 2.f, 3.f));
const float3x3 m3 = float3x3(rotate(0.5f,axis3));
const float3x3 rm3 = inverse(m3);
CHECK(all(approx(
unit3_z<float> * m3 * rm3,
unit3_z<float>)));
}
{
const float3 axis4 = normalize(float3(0.f, 0.f, 3.f));
const float2x2 m4 = float2x2(rotate(0.5f,axis4));
const float2x2 rm4 = inverse(m4);
CHECK(all(approx(
unit2_y<float> * m4 * rm4,
unit2_y<float>)));
}
}
}
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