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6e3c1ba5233fbd9fefa7295231c342bd887d82d7
vmath.hpp/untests/vmath_qua_fun_tests.cpp
BlackMATov 6e3c1ba523 rlength and rlength2 functions
2021-02-23 10:24:49 +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;
}
TEST_CASE("vmath/qua_fun") {
SUBCASE("Operators") {
STATIC_CHECK(+qua(1,-2,3,-4) == qua(1,-2,3,-4));
STATIC_CHECK(-qua(1,-2,3,-4) == qua(-1,2,-3,4));
STATIC_CHECK(qua(1,2,3,4) + qua(3,4,5,6) == qua(4,6,8,10));
STATIC_CHECK(qua(1,2,3,4) - qua(3,5,7,9) == qua(-2,-3,-4,-5));
{
qua v{1,2,3,4};
CHECK(&v == &(v += qua{3,4,5,6}));
CHECK(v == qua{4,6,8,10});
}
{
qua v{1,2,3,4};
CHECK(&v == &(v -= qua{3,4,5,6}));
CHECK(v == qua{-2,-2,-2,-2});
}
STATIC_CHECK(qua(1,2,3,4) * 2 == qua(2,4,6,8));
STATIC_CHECK(qua(2,4,6,8) / 2 == qua(1,2,3,4));
STATIC_CHECK(2 * qua(1,2,3,4) == qua(2,4,6,8));
STATIC_CHECK(8 / qua(1,2,4,8) == qua(8,4,2,1));
{
qua v{1,2,3,4};
CHECK(&v == &(v *= 2));
CHECK(v == qua{2,4,6,8});
CHECK(&v == &(v *= qua<int>{}));
CHECK(v == qua{2,4,6,8});
}
{
qua v{2,4,6,8};
CHECK(&v == &(v /= 2));
CHECK(v == qua{1,2,3,4});
}
{
float3 v{1,0,0};
CHECK(&v == &(v *= qfloat{0,0,0.7071067812f,0.7071067812f}));
CHECK(v == uapprox3(0.f,1.f,0.f));
}
STATIC_CHECK(qfloat{} * qfloat{} == qfloat{});
STATIC_CHECK(float3{1,2,3} * qfloat{} == uapprox3(1.f,2.f,3.f));
STATIC_CHECK(float3{1,0,0} * qfloat{0,0,0.7071067812f,0.7071067812f} == uapprox3(0.f,1.f,0.f));
}
SUBCASE("Common Functions") {
{
CHECK(all(approx(
qrotate_z(radians(5.f)),
nlerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(6.f)),
nlerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.1f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(10.f)),
nlerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.5f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(15.f)),
nlerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 1.f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(315.f)),
nlerp(qrotate_z(radians(270.f)), qrotate_z(radians(0.f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(290.f)),
nlerp(qrotate_z(radians(220.f)), qrotate_z(radians(0.f)), 0.5f))));
}
{
CHECK(all(approx(
qrotate_z(radians(5.f)),
slerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(6.f)),
slerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.1f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(10.f)),
slerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 0.5f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(15.f)),
slerp(qrotate_z(radians(5.f)), qrotate_z(radians(15.f)), 1.f),
0.00001f)));
CHECK(all(approx(
qrotate_z(radians(0.f)),
slerp(qrotate_z(radians(0.f)), qrotate_z(radians(0.f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(0.25f)),
slerp(qrotate_z(radians(0.f)), qrotate_z(radians(0.5f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(-45.f)),
slerp(qrotate_z(radians(0.f)), qrotate_z(radians(270.f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(-70.f)),
slerp(qrotate_z(radians(0.f)), qrotate_z(radians(220.f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(315.f)),
slerp(qrotate_z(radians(270.f)), qrotate_z(radians(0.f)), 0.5f))));
CHECK(all(approx(
qrotate_z(radians(290.f)),
slerp(qrotate_z(radians(220.f)), qrotate_z(radians(0.f)), 0.5f))));
}
}
SUBCASE("Geometric Functions") {
STATIC_CHECK(dot(qua(1,2,3,4),qua(3,4,5,6)) == 50);
CHECK(length(qfloat(10.f,0.f,0.f,0.f)) == uapprox(10.f));
CHECK(length(qfloat(-10.f,0.f,0.f,0.f)) == uapprox(10.f));
CHECK(rlength(qfloat(10.f,0.f,0.f,0.f)) == uapprox(0.1f));
CHECK(rlength(qfloat(-10.f,0.f,0.f,0.f)) == uapprox(0.1f));
STATIC_CHECK(length2(qfloat(10.f,0.f,0.f,0.f)) == uapprox(100.f));
STATIC_CHECK(length2(qfloat(-10.f,0.f,0.f,0.f)) == uapprox(100.f));
STATIC_CHECK(rlength2(qfloat(10.f,0.f,0.f,0.f)) == uapprox(0.01f));
STATIC_CHECK(rlength2(qfloat(-10.f,0.f,0.f,0.f)) == uapprox(0.01f));
CHECK(distance(qrotate_z(radians(0.f)) * 2.f, qrotate_z(radians(0.f)) * 1.5f) == uapprox(radians(0.f)));
CHECK(distance(qrotate_z(radians(0.f)) * 3.f, qrotate_z(radians(360.f)) * 2.5f) == uapprox(radians(0.f)));
CHECK(distance(qrotate_z(radians(0.f)) * 4.f, qrotate_z(radians(180.f)) * 3.5f) == uapprox(radians(180.f)));
CHECK(distance(qrotate_z(radians(180.f)) * 5.f, qrotate_z(radians(0.f)) * 4.5f) == uapprox(radians(180.f)));
CHECK(distance(qrotate_z(radians(15.f)) * 6.f, qrotate_z(radians(350.f)) * 5.5f) == uapprox(radians(25.f)));
CHECK(distance(qrotate_z(radians(350.f)) * 7.f, qrotate_z(radians(15.f)) * 6.5f) == uapprox(radians(25.f)));
CHECK(normalize(qfloat(0.5f,0.f,0.f,0.f)).v == uapprox3(1.f,0.f,0.f));
}
SUBCASE("Relational Functions") {
STATIC_CHECK(any(qua(1,0,0,0)));
STATIC_CHECK(any(qua(0,1,0,0)));
STATIC_CHECK(any(qua(0,0,1,0)));
STATIC_CHECK(any(qua(0,0,0,1)));
STATIC_CHECK(any(qua(1,1,1,1)));
STATIC_CHECK_FALSE(any(qua(0,0,0,0)));
STATIC_CHECK_FALSE(all(qua(1,0,0,0)));
STATIC_CHECK_FALSE(all(qua(0,1,0,0)));
STATIC_CHECK_FALSE(all(qua(0,0,1,0)));
STATIC_CHECK(all(qua(1,1,1,1)));
STATIC_CHECK_FALSE(all(qua(0,0,0,0)));
STATIC_CHECK(approx(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, true, false, false));
STATIC_CHECK(approx(qua(1,1,1,1), qua(0,1,2,3), 0) == bool4(false, true, false, false));
STATIC_CHECK(approx(qua(1,1,1,1), qua(0,1,2,3), 1) == bool4(true, true, true, false));
STATIC_CHECK(approx(qua(1,1,1,1), qua(0,1,2,3), 2) == bool4(true, true, true, true));
STATIC_CHECK(less(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, false, true, true));
STATIC_CHECK(less_equal(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, true, true, true));
STATIC_CHECK(greater(qua(1,1,1,1), qua(0,1,2,3)) == bool4(true, false, false, false));
STATIC_CHECK(greater_equal(qua(1,1,1,1), qua(0,1,2,3)) == bool4(true, true, false, false));
STATIC_CHECK(equal_to(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, true, false, false));
STATIC_CHECK(not_equal_to(qua(1,1,1,1), qua(0,1,2,3)) == bool4(true, false, true, true));
}
SUBCASE("Quaternion Functions") {
STATIC_CHECK(conjugate(qua(1,2,3,4)) == qua(-1,-2,-3,4));
STATIC_CHECK(inverse(qua(0.f,0.f,0.7071067812f,0.7071067812f)).v == uapprox3(0.f,0.f,-0.7071067812f));
STATIC_CHECK(inverse(qua(0.f,0.f,0.7071067812f,0.7071067812f)).s == uapprox(0.7071067812f));
CHECK(inverse(qrotate_x(10.f)) == qrotate_x(-10.f));
CHECK(all(approx(inverse(qrotate_x(10.f) * qrotate_y(15.f)), qrotate_y(-15.f) * qrotate_x(-10.f))));
}
}
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