/******************************************************************************* * 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" #include "catch/catch.hpp" namespace { using namespace vmath_hpp; using namespace vmath_tests; } TEST_CASE("vmath/qua_fun") { SECTION("Operators") { STATIC_REQUIRE(+qua(1,-2,3,-4) == qua(1,-2,3,-4)); STATIC_REQUIRE(-qua(1,-2,3,-4) == qua(-1,2,-3,4)); STATIC_REQUIRE(qua(1,2,3,4) + qua(3,4,5,6) == qua(4,6,8,10)); STATIC_REQUIRE(qua(1,2,3,4) - qua(3,5,7,9) == qua(-2,-3,-4,-5)); { qua v{1,2,3,4}; REQUIRE(&v == &(v += qua{3,4,5,6})); REQUIRE(v == qua{4,6,8,10}); } { qua v{1,2,3,4}; REQUIRE(&v == &(v -= qua{3,4,5,6})); REQUIRE(v == qua{-2,-2,-2,-2}); } STATIC_REQUIRE(qua(1,2,3,4) * 2 == qua(2,4,6,8)); STATIC_REQUIRE(qua(2,4,6,8) / 2 == qua(1,2,3,4)); STATIC_REQUIRE(2 * qua(1,2,3,4) == qua(2,4,6,8)); STATIC_REQUIRE(8 / qua(1,2,4,8) == qua(8,4,2,1)); { qua v{1,2,3,4}; REQUIRE(&v == &(v *= 2)); REQUIRE(v == qua{2,4,6,8}); REQUIRE(&v == &(v *= qua{})); REQUIRE(v == qua{2,4,6,8}); } { qua v{2,4,6,8}; REQUIRE(&v == &(v /= 2)); REQUIRE(v == qua{1,2,3,4}); } { float3 v{1,0,0}; REQUIRE(&v == &(v *= fqua{0,0,0.7071067812f,0.7071067812f})); REQUIRE(v == uapprox3(0.f,1.f,0.f)); } { float4 v{1,0,0,2}; REQUIRE(&v == &(v *= fqua{0,0,0.7071067812f,0.7071067812f})); REQUIRE(v == uapprox4(0.f,1.f,0.f,2.f)); } STATIC_REQUIRE(fqua{} * fqua{} == fqua{}); STATIC_REQUIRE(float3{1,2,3} * fqua{} == uapprox3(1.f,2.f,3.f)); STATIC_REQUIRE(float4{1,2,3,4} * fqua{} == uapprox4(1.f,2.f,3.f,4.f)); STATIC_REQUIRE(float3{1,0,0} * fqua{0,0,0.7071067812f,0.7071067812f} == uapprox3(0.f,1.f,0.f)); STATIC_REQUIRE(float4{1,0,0,2} * fqua{0,0,0.7071067812f,0.7071067812f} == uapprox4(0.f,1.f,0.f,2.f)); } SECTION("Common Functions") { REQUIRE_FALSE(any(isnan(fqua(1,1,1,1)))); REQUIRE_FALSE(any(isinf(fqua(1,1,1,1)))); REQUIRE(all(isfinite(fqua(1,1,1,1)))); } SECTION("Geometric Functions") { STATIC_REQUIRE(dot(qua(1,2,3,4),qua(3,4,5,6)) == 50); REQUIRE(length(fqua(10.f,0.f,0.f,0.f)) == uapprox(10.f)); REQUIRE(length(fqua(-10.f,0.f,0.f,0.f)) == uapprox(10.f)); STATIC_REQUIRE(length2(fqua(10.f,0.f,0.f,0.f)) == uapprox(100.f)); STATIC_REQUIRE(length2(fqua(-10.f,0.f,0.f,0.f)) == uapprox(100.f)); REQUIRE(normalize(fqua(0.5f,0.f,0.f,0.f)).v == uapprox3(1.f,0.f,0.f)); } SECTION("Relational Functions") { STATIC_REQUIRE(approx(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, true, false, false)); STATIC_REQUIRE(approx(qua(1,1,1,1), qua(0,1,2,3), 0) == bool4(false, true, false, false)); STATIC_REQUIRE(approx(qua(1,1,1,1), qua(0,1,2,3), 1) == bool4(true, true, true, false)); STATIC_REQUIRE(approx(qua(1,1,1,1), qua(0,1,2,3), 2) == bool4(true, true, true, true)); STATIC_REQUIRE(equal_to(qua(1,1,1,1), qua(0,1,2,3)) == bool4(false, true, false, false)); STATIC_REQUIRE(not_equal_to(qua(1,1,1,1), qua(0,1,2,3)) == bool4(true, false, true, true)); } SECTION("Quaternion Functions") { STATIC_REQUIRE(conjugate(qua(1,2,3,4)) == qua(-1,-2,-3,4)); STATIC_REQUIRE(inverse(qua(0.f,0.f,0.7071067812f,0.7071067812f)).v == uapprox3(0.f,0.f,-0.7071067812f)); STATIC_REQUIRE(inverse(qua(0.f,0.f,0.7071067812f,0.7071067812f)).s == uapprox(0.7071067812f)); REQUIRE(inverse(qrotate_x(10.f)) == qrotate_x(-10.f)); REQUIRE(all(approx(inverse(qrotate_x(10.f) * qrotate_y(15.f)), qrotate_y(-15.f) * qrotate_x(-10.f)))); } }