/* This file is part of Magnum. Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023 Vladimír Vondruš 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 #include #include #include #include "Magnum/Math/Half.h" #include "Magnum/Math/Vector.h" #include "Magnum/Math/StrictWeakOrdering.h" struct Vec3 { float x, y, z; }; namespace Magnum { namespace Math { namespace Implementation { template<> struct VectorConverter<3, Float, Vec3> { constexpr static Vector<3, Float> from(const Vec3& other) { return {other.x, other.y, other.z}; } constexpr static Vec3 to(const Vector<3, Float>& other) { return {other[0], other[1], other[2]}; } }; } namespace Test { namespace { struct VectorTest: TestSuite::Tester { explicit VectorTest(); void construct(); void constructFromData(); void constructPad(); void constructPadDefaultHalf(); void constructDefault(); void constructNoInit(); void constructOneValue(); void constructOneComponent(); void constructConversion(); void constructCopy(); void convert(); void isZeroFloat(); void isZeroInteger(); void isNormalized(); void data(); void promotedNegated(); void addSubtract(); void multiplyDivide(); void multiplyDivideIntegral(); void multiplyDivideComponentWise(); void multiplyDivideComponentWiseIntegral(); void modulo(); void bitwise(); void compare(); void compareComponentWise(); void dot(); void dotSelf(); void length(); void lengthInverted(); void normalized(); void resized(); void sum(); void product(); void min(); void max(); void minmax(); void nanIgnoring(); void projected(); void projectedOntoNormalized(); void projectedOntoNormalizedNotNormalized(); void flipped(); void angle(); void angleNormalizedButOver1(); void angleNotNormalized(); void subclassTypes(); void subclass(); void strictWeakOrdering(); void debug(); void debugPacked(); }; /* What's a typedef and not a using differs from the typedefs in root Magnum namespace */ using Magnum::Constants; using Magnum::Rad; typedef Vector<2, Float> Vector2; typedef Vector<2, Half> Vector2h; typedef Vector<3, Float> Vector3; typedef Vector<4, Float> Vector4; typedef Vector<4, Half> Vector4h; typedef Vector<4, Int> Vector4i; typedef Vector<2, Int> Vector2i; using namespace Literals; VectorTest::VectorTest() { addTests({&VectorTest::construct, &VectorTest::constructFromData, &VectorTest::constructPad, &VectorTest::constructPadDefaultHalf, &VectorTest::constructDefault, &VectorTest::constructNoInit, &VectorTest::constructOneValue, &VectorTest::constructOneComponent, &VectorTest::constructConversion, &VectorTest::constructCopy, &VectorTest::convert, &VectorTest::isZeroFloat, &VectorTest::isZeroInteger, &VectorTest::isNormalized, &VectorTest::data, &VectorTest::promotedNegated, &VectorTest::addSubtract, &VectorTest::multiplyDivide, &VectorTest::multiplyDivideIntegral, &VectorTest::multiplyDivideComponentWise, &VectorTest::multiplyDivideComponentWiseIntegral, &VectorTest::modulo, &VectorTest::bitwise, &VectorTest::compare, &VectorTest::compareComponentWise, &VectorTest::dot, &VectorTest::dotSelf, &VectorTest::length, &VectorTest::lengthInverted, &VectorTest::normalized, &VectorTest::resized, &VectorTest::sum, &VectorTest::product, &VectorTest::min, &VectorTest::max, &VectorTest::minmax, &VectorTest::nanIgnoring, &VectorTest::projected, &VectorTest::projectedOntoNormalized, &VectorTest::projectedOntoNormalizedNotNormalized, &VectorTest::flipped, &VectorTest::angle, &VectorTest::angleNormalizedButOver1, &VectorTest::angleNotNormalized, &VectorTest::subclassTypes, &VectorTest::subclass, &VectorTest::strictWeakOrdering, &VectorTest::debug, &VectorTest::debugPacked}); } void VectorTest::construct() { constexpr Vector4 a = {1.0f, 2.0f, -3.0f, 4.5f}; CORRADE_COMPARE(a, Vector4(1.0f, 2.0f, -3.0f, 4.5f)); CORRADE_VERIFY(std::is_nothrow_constructible::value); } void VectorTest::constructFromData() { Float data[] = { 1.0f, 2.0f, 3.0f, 4.0f }; CORRADE_COMPARE(Vector4::from(data), Vector4(1.0f, 2.0f, 3.0f, 4.0f)); } void VectorTest::constructPad() { constexpr Vector<2, Float> a{1.0f, -1.0f}; constexpr Vector4 b = Vector4::pad(a); constexpr Vector4 c = Vector4::pad(a, 5.0f); CORRADE_COMPARE(b, Vector4(1.0f, -1.0f, 0.0f, 0.0f)); CORRADE_COMPARE(c, Vector4(1.0f, -1.0f, 5.0f, 5.0f)); constexpr Vector<5, Float> d{1.0f, -1.0f, 8.0f, 2.3f, -1.1f}; constexpr Vector4 e = Vector4::pad(d); CORRADE_COMPARE(e, Vector4(1.0f, -1.0f, 8.0f, 2.3f)); } void VectorTest::constructPadDefaultHalf() { using namespace Literals; /* The default pad value should work also for the Half type */ Vector4h a = Vector4h::pad(Vector2h{1.0_h, -1.0_h}); CORRADE_COMPARE(a, (Vector4h{1.0_h, -1.0_h, 0.0_h, 0.0_h})); } void VectorTest::constructDefault() { constexpr Vector4 a; constexpr Vector4 b{ZeroInit}; CORRADE_COMPARE(a, Vector4(0.0f, 0.0f, 0.0f, 0.0f)); CORRADE_COMPARE(b, Vector4(0.0f, 0.0f, 0.0f, 0.0f)); CORRADE_VERIFY(std::is_nothrow_default_constructible::value); CORRADE_VERIFY(std::is_nothrow_constructible::value); /* Implicit construction is not allowed */ CORRADE_VERIFY(!std::is_convertible::value); } void VectorTest::constructNoInit() { Vector4 a{1.0f, 2.0f, -3.0f, 4.5f}; new(&a) Vector4{Magnum::NoInit}; { /* Explicitly check we're not on Clang because certain Clang-based IDEs inherit __GNUC__ if GCC is used instead of leaving it at 4 like Clang itself does */ #if defined(CORRADE_TARGET_GCC) && !defined(CORRADE_TARGET_CLANG) && __GNUC__*100 + __GNUC_MINOR__ >= 601 && __OPTIMIZE__ CORRADE_EXPECT_FAIL("GCC 6.1+ misoptimizes and overwrites the value."); #endif CORRADE_COMPARE(a, (Vector4{1.0f, 2.0f, -3.0f, 4.5f})); } CORRADE_VERIFY(std::is_nothrow_constructible::value); /* Implicit construction is not allowed */ CORRADE_VERIFY(!std::is_convertible::value); } void VectorTest::constructOneValue() { constexpr Vector4 a(7.25f); CORRADE_COMPARE(a, Vector4(7.25f, 7.25f, 7.25f, 7.25f)); /* Implicit conversion is not allowed */ CORRADE_VERIFY(!std::is_convertible::value); CORRADE_VERIFY(std::is_nothrow_constructible::value); } void VectorTest::constructOneComponent() { typedef Vector<1, Float> Vector1; /* Implicit constructor must work */ constexpr Vector1 vec = 1.0f; CORRADE_COMPARE(vec, Vector1(1)); CORRADE_VERIFY(std::is_nothrow_constructible::value); } void VectorTest::constructConversion() { constexpr Vector4 a(1.3f, 2.7f, -15.0f, 7.0f); constexpr Vector4i b(a); CORRADE_COMPARE(b, Vector4i(1, 2, -15, 7)); /* Implicit conversion is not allowed */ CORRADE_VERIFY(!std::is_convertible::value); CORRADE_VERIFY(std::is_nothrow_constructible::value); } void VectorTest::constructCopy() { constexpr Vector4 a(1.0f, 3.5f, 4.0f, -2.7f); constexpr Vector4 b(a); CORRADE_COMPARE(b, Vector4(1.0f, 3.5f, 4.0f, -2.7f)); #ifndef CORRADE_NO_STD_IS_TRIVIALLY_TRAITS CORRADE_VERIFY(std::is_trivially_copy_constructible::value); CORRADE_VERIFY(std::is_trivially_copy_assignable::value); #endif CORRADE_VERIFY(std::is_nothrow_copy_constructible::value); CORRADE_VERIFY(std::is_nothrow_copy_assignable::value); } void VectorTest::convert() { constexpr Vec3 a{1.5f, 2.0f, -3.5f}; constexpr Vector3 b(1.5f, 2.0f, -3.5f); /* GCC 5.1 had a bug: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=66450 Hopefully this does not reappear. */ constexpr Vector3 c{a}; CORRADE_COMPARE(c, b); /* https://developercommunity.visualstudio.com/t/MSVC-1933-fails-to-compile-valid-code-u/10185268 */ #if defined(CORRADE_TARGET_MSVC) && CORRADE_CXX_STANDARD >= 202002L constexpr auto d = Vec3(b); #else constexpr Vec3 d(b); #endif CORRADE_COMPARE(d.x, a.x); CORRADE_COMPARE(d.y, a.y); CORRADE_COMPARE(d.z, a.z); /* Implicit conversion is not allowed */ CORRADE_VERIFY(!std::is_convertible::value); CORRADE_VERIFY(!std::is_convertible::value); } void VectorTest::isZeroFloat() { CORRADE_VERIFY(!Vector3(0.01f, 0.0f, 0.0f).isZero()); CORRADE_VERIFY(Vector3(0.0f, Math::TypeTraits::epsilon()/2.0f, 0.0f).isZero()); CORRADE_VERIFY(Vector3(0.0f, 0.0f, 0.0f).isZero()); } void VectorTest::isZeroInteger() { CORRADE_VERIFY(!Math::Vector<3, Int>{0, 1, 0}.isZero()); CORRADE_VERIFY(Math::Vector<3, Int>{0, 0, 0}.isZero()); } void VectorTest::isNormalized() { CORRADE_VERIFY(!Vector3(1.0f, 2.0f, -1.0f).isNormalized()); CORRADE_VERIFY(Vector3(0.0f, 1.0f, 0.0f).isNormalized()); } void VectorTest::data() { Vector4 a(4.0f, 5.0f, 6.0f, 7.0f); a[2] = 1.0f; a[3] = 1.5f; CORRADE_COMPARE(a[2], 1.0f); CORRADE_COMPARE(a[3], 1.5f); CORRADE_COMPARE(a, Vector4(4.0f, 5.0f, 1.0f, 1.5f)); constexpr Vector4 ca(1.0f, 2.0f, -3.0f, 4.5f); constexpr Float f = ca[3]; CORRADE_COMPARE(f, 4.5f); /* Pointer chasings, i.e. *(b.data()[3]), are not possible */ #ifndef CORRADE_MSVC2015_COMPATIBILITY /* Apparently dereferencing a pointer is verboten */ constexpr #endif Float g = *ca.data(); CORRADE_COMPARE(a.data()[1], 5.0f); CORRADE_COMPARE(g, 1.0f); /* It actually returns an array */ CORRADE_COMPARE(Containers::arraySize(a.data()), 4); CORRADE_COMPARE(Containers::arraySize(ca.data()), 4); } void VectorTest::compare() { CORRADE_VERIFY(Vector4(1.0f, -3.5f, 5.0f, -10.0f) == Vector4(1.0f + TypeTraits::epsilon()/2, -3.5f, 5.0f, -10.0f)); CORRADE_VERIFY(Vector4(1.0f, -1.0f, 5.0f, -10.0f) != Vector4(1.0f, -1.0f + TypeTraits::epsilon()*2, 5.0f, -10.0f)); CORRADE_VERIFY(Vector4i(1, -3, 5, -10) == Vector4i(1, -3, 5, -10)); CORRADE_VERIFY(Vector4i(1, -3, 5, -10) != Vector4i(1, -2, 5, -10)); } void VectorTest::compareComponentWise() { typedef BitVector<3> BitVector3; typedef BitVector<4> BitVector4; Vector4 a{1.0f, -3.5f, 5.0f, -10.0f}; Vector4 b{1.0f + TypeTraits::epsilon()/2, -3.5f, 5.0f - TypeTraits::epsilon()*2, -10.0f}; Vector4 c{1.0f + TypeTraits::epsilon()*2, -3.5f, 5.0f - TypeTraits::epsilon()*10, -10.0f}; CORRADE_COMPARE(equal(a, b), BitVector4{0xf}); CORRADE_COMPARE(equal(a, c), BitVector4{0xa}); CORRADE_COMPARE(notEqual(a, b), BitVector4{0x0}); CORRADE_COMPARE(notEqual(a, c), BitVector4{0x5}); CORRADE_COMPARE(Vector3(1.0f, -1.0f, 5.0f) < Vector3(1.1f, -1.0f, 3.0f), BitVector3(0x1)); CORRADE_COMPARE(Vector3(1.0f, -1.0f, 5.0f) <= Vector3(1.1f, -1.0f, 3.0f), BitVector3(0x3)); CORRADE_COMPARE(Vector3(1.0f, -1.0f, 5.0f) >= Vector3(1.1f, -1.0f, 3.0f), BitVector3(0x6)); CORRADE_COMPARE(Vector3(1.0f, -1.0f, 5.0f) > Vector3(1.1f, -1.0f, 3.0f), BitVector3(0x4)); } void VectorTest::promotedNegated() { CORRADE_COMPARE(+(Vector4{1.0f, -3.0f, 5.0f, -10.0f}), (Vector4{1.0f, -3.0f, 5.0f, -10.0f})); CORRADE_COMPARE(-(Vector4{1.0f, -3.0f, 5.0f, -10.0f}), (Vector4{-1.0f, 3.0f, -5.0f, 10.0f})); constexpr Vector4 a{1.0f, -3.0f, 5.0f, -10.0f}; constexpr Vector4 promotedA = +a; CORRADE_COMPARE(promotedA, a); } void VectorTest::addSubtract() { const Vector4 a{1.0f, -3.0f, 5.0f, -10.0f}; const Vector4 b{7.5f, 33.0f, -15.0f, 0.0f}; const Vector4 c{8.5f, 30.0f, -10.0f, -10.0f}; CORRADE_COMPARE(a + b, c); CORRADE_COMPARE(c - b, a); { Vector4 v{1.0f, -3.0f, 5.0f, -10.0f}; CORRADE_COMPARE(&(v += b), &v); CORRADE_COMPARE(v, c); } { Vector4 v{8.5f, 30.0f, -10.0f, -10.0f}; CORRADE_COMPARE(&(v -= b), &v); CORRADE_COMPARE(v, a); } } void VectorTest::multiplyDivide() { const Vector4 vector{1.0f, 2.0f, 3.0f, 4.0f}; const Vector4 multiplied{-1.5f, -3.0f, -4.5f, -6.0f}; CORRADE_COMPARE(vector*-1.5f, multiplied); CORRADE_COMPARE(-1.5f*vector, multiplied); { Vector4 v{1.0f, 2.0f, 3.0f, 4.0f}; CORRADE_COMPARE(&(v *= -1.5f), &v); CORRADE_COMPARE(v, multiplied); } CORRADE_COMPARE(multiplied/-1.5f, vector); { Vector4 v{-1.5f, -3.0f, -4.5f, -6.0f}; CORRADE_COMPARE(&(v /= -1.5f), &v); CORRADE_COMPARE(v, vector); } /* Divide a vector with a scalar and invert */ const Vector4 divisor{1.0f, 2.0f, -4.0f, 8.0f}; const Vector4 result{1.0f, 0.5f, -0.25f, 0.125f}; CORRADE_COMPARE(1.0f/divisor, result); } void VectorTest::multiplyDivideIntegral() { const Vector4i vector{32, 10, -6, 2}; const Vector4i multiplied{-48, -15, 9, -3}; CORRADE_COMPARE(vector*-1.5f, multiplied); CORRADE_COMPARE(-1.5f*vector, multiplied); { Vector4i v{32, 10, -6, 2}; CORRADE_COMPARE(&(v *= -1.5f), &v); CORRADE_COMPARE(v, multiplied); } CORRADE_COMPARE(multiplied/-1.5f, vector); { Vector4i v{-48, -15, 9, -3}; CORRADE_COMPARE(&(v /= -1.5f), &v); CORRADE_COMPARE(v, vector); } /* Using integer vector as divisor is not supported */ } void VectorTest::multiplyDivideComponentWise() { const Vector4 vec{1.0f, 2.0f, 3.0f, 4.0f}; const Vector4 multiplier{7.0f, -4.0f, -1.5f, 1.0f}; const Vector4 multiplied{7.0f, -8.0f, -4.5f, 4.0f}; CORRADE_COMPARE(vec*multiplier, multiplied); { Vector4 v{1.0f, 2.0f, 3.0f, 4.0f}; CORRADE_COMPARE(&(v *= multiplier), &v); CORRADE_COMPARE(v, multiplied); } CORRADE_COMPARE(multiplied/multiplier, vec); { Vector4 v{7.0f, -8.0f, -4.5f, 4.0f}; CORRADE_COMPARE(&(v /= multiplier), &v); CORRADE_COMPARE(v, vec); } } void VectorTest::multiplyDivideComponentWiseIntegral() { const Vector4i vec{7, 2, -16, -1}; const Vector4 multiplier{2.0f, -1.5f, 0.5f, 10.0f}; const Vector4i multiplied{14, -3, -8, -10}; CORRADE_COMPARE(vec*multiplier, multiplied); CORRADE_COMPARE(multiplier*vec, multiplied); { Vector4i v{7, 2, -16, -1}; CORRADE_COMPARE(&(v *= multiplier), &v); CORRADE_COMPARE(v, multiplied); } CORRADE_COMPARE(multiplied/multiplier, vec); { Vector4i v{14, -3, -8, -10}; CORRADE_COMPARE(&(v /= multiplier), &v); CORRADE_COMPARE(v, vec); } /* Using integer vector as divisor is not supported */ } void VectorTest::modulo() { const Vector4i a{4, 13, 255, -6}; const Vector4i b{2, 5, 64, -4}; CORRADE_COMPARE(a % 2, (Vector4i{0, 1, 1, 0})); { Vector4i v{4, 13, 255, -6}; CORRADE_COMPARE(&(v %= 2), &v); CORRADE_COMPARE(v, (Vector4i{0, 1, 1, 0})); } CORRADE_COMPARE(a % b, (Vector4i{0, 3, 63, -2})); { Vector4i v{4, 13, 255, -6}; CORRADE_COMPARE(&(v %= b), &v); CORRADE_COMPARE(v, (Vector4i{0, 3, 63, -2})); } } void VectorTest::bitwise() { const Vector4i a{85, 240, -241, 33}; const Vector4i b{170, 85, 13, -11}; CORRADE_COMPARE(~a, (Vector4i{-86, -241, 240, -34})); CORRADE_COMPARE(a & b, (Vector4i{0, 80, 13, 33})); { Vector4i v{85, 240, -241, 33}; CORRADE_COMPARE(&(v &= b), &v); CORRADE_COMPARE(v, (Vector4i{0, 80, 13, 33})); } CORRADE_COMPARE(a | b, (Vector4i{255, 245, -241, -11})); { Vector4i v{85, 240, -241, 33}; CORRADE_COMPARE(&(v |= b), &v); CORRADE_COMPARE(v, (Vector4i{255, 245, -241, -11})); } CORRADE_COMPARE(a ^ b, (Vector4i{255, 165, -254, -44})); { Vector4i v{85, 240, -241, 33}; CORRADE_COMPARE(&(v ^= b), &v); CORRADE_COMPARE(v, (Vector4i{255, 165, -254, -44})); } const Vector4i c{7, 32, 1, 15}; CORRADE_COMPARE(c << 2, (Vector4i{28, 128, 4, 60})); { Vector4i v{7, 32, 1, 15}; CORRADE_COMPARE(&(v <<= 2), &v); CORRADE_COMPARE(v, (Vector4i{28, 128, 4, 60})); } CORRADE_COMPARE(c >> 2, (Vector4i{1, 8, 0, 3})); { Vector4i v{7, 32, 1, 15}; CORRADE_COMPARE(&(v >>= 2), &v); CORRADE_COMPARE(v, (Vector4i{1, 8, 0, 3})); } } void VectorTest::dot() { CORRADE_COMPARE(Math::dot(Vector4{1.0f, 0.5f, 0.75f, 1.5f}, {2.0f, 4.0f, 1.0f, 7.0f}), 15.25f); } void VectorTest::dotSelf() { CORRADE_COMPARE(Vector4(1.0f, 2.0f, 3.0f, 4.0f).dot(), 30.0f); } void VectorTest::length() { CORRADE_COMPARE(Vector4(1.0f, 2.0f, 3.0f, 4.0f).length(), 5.4772256f); } void VectorTest::lengthInverted() { CORRADE_COMPARE(Vector4(1.0f, 2.0f, 3.0f, 4.0f).lengthInverted(), 0.182574f); } void VectorTest::normalized() { const auto vec = Vector4(1.0f, 1.0f, 1.0f, 1.0f).normalized(); CORRADE_COMPARE(vec, Vector4(0.5f, 0.5f, 0.5f, 0.5f)); CORRADE_COMPARE(vec.length(), 1.0f); } void VectorTest::resized() { const auto vec = Vector4(2.0f, 2.0f, 0.0f, 1.0f).resized(9.0f); CORRADE_COMPARE(vec, Vector4(6.0f, 6.0f, 0.0f, 3.0f)); CORRADE_COMPARE(vec.length(), 9.0f); } void VectorTest::sum() { CORRADE_COMPARE(Vector3(1.0f, 2.0f, 4.0f).sum(), 7.0f); } void VectorTest::product() { CORRADE_COMPARE(Vector3(1.0f, 2.0f, 3.0f).product(), 6.0f); } void VectorTest::min() { /* Check also that initial value isn't initialized to 0 */ CORRADE_COMPARE(Vector3(1.0f, -2.0f, 3.0f).min(), -2.0f); } void VectorTest::max() { /* Check also that initial value isn't initialized to 0 */ CORRADE_COMPARE(Vector3(-1.0f, -2.0f, -3.0f).max(), -1.0f); } void VectorTest::minmax() { const auto expected = Containers::pair(-3.0f, 2.0f); CORRADE_COMPARE((Vector3{-1.0f, 2.0f, -3.0f}.minmax()), expected); CORRADE_COMPARE((Vector3{-1.0f, -3.0f, 2.0f}.minmax()), expected); CORRADE_COMPARE((Vector3{2.0f, -1.0f, -3.0f}.minmax()), expected); CORRADE_COMPARE((Vector3{2.0f, -3.0f, -1.0f}.minmax()), expected); CORRADE_COMPARE((Vector3{-3.0f, 2.0f, -1.0f}.minmax()), expected); CORRADE_COMPARE((Vector3{-3.0f, -1.0f, 2.0f}.minmax()), expected); } void VectorTest::nanIgnoring() { Vector3 oneNan{1.0f, Constants::nan(), -3.0f}; Vector3 firstNan{Constants::nan(), 1.0f, -3.0f}; Vector3 allNan{Constants::nan(), Constants::nan(), Constants::nan()}; CORRADE_COMPARE(oneNan.min(), -3.0f); CORRADE_COMPARE(firstNan.min(), -3.0f); CORRADE_COMPARE(allNan.min(), Constants::nan()); CORRADE_COMPARE(oneNan.max(), 1.0f); CORRADE_COMPARE(firstNan.max(), 1.0f); CORRADE_COMPARE(allNan.max(), Constants::nan()); CORRADE_COMPARE(oneNan.minmax(), Containers::pair(-3.0f, 1.0f)); CORRADE_COMPARE(firstNan.minmax(), Containers::pair(-3.0f, 1.0f)); /* Need to compare this way because of NaNs */ CORRADE_COMPARE(allNan.minmax().first(), Constants::nan()); CORRADE_COMPARE(allNan.minmax().second(), Constants::nan()); } void VectorTest::projected() { Vector3 line(1.0f, -1.0f, 0.5f); Vector3 projected = Vector3(1.0f, 2.0f, 3.0f).projected(line); CORRADE_COMPARE(projected, Vector3(0.222222f, -0.222222f, 0.111111f)); CORRADE_COMPARE(projected.normalized(), line.normalized()); } void VectorTest::projectedOntoNormalized() { Vector3 vector(1.0f, 2.0f, 3.0f); Vector3 line(1.0f, -1.0f, 0.5f); Vector3 projected = vector.projectedOntoNormalized(line.normalized()); CORRADE_COMPARE(projected, Vector3(0.222222f, -0.222222f, 0.111111f)); CORRADE_COMPARE(projected.normalized(), line.normalized()); CORRADE_COMPARE(projected, vector.projected(line)); } void VectorTest::projectedOntoNormalizedNotNormalized() { CORRADE_SKIP_IF_NO_DEBUG_ASSERT(); Vector3 vector(1.0f, 2.0f, 3.0f); Vector3 line(1.0f, -1.0f, 0.5f); std::ostringstream out; Error redirectError{&out}; vector.projectedOntoNormalized(line); CORRADE_COMPARE(out.str(), "Math::Vector::projectedOntoNormalized(): line Vector(1, -1, 0.5) is not normalized\n"); } void VectorTest::flipped() { constexpr Vector4 vector{1.0f, -3.5f, 2.1f, 0.5f}; constexpr Vector4 flipped = vector.flipped(); CORRADE_COMPARE(flipped, (Vector4{0.5f, 2.1f, -3.5f, 1.0f})); } void VectorTest::angle() { auto a = Vector3{2.0f, 3.0f, 4.0f}.normalized(); auto b = Vector3{1.0f, -2.0f, 3.0f}.normalized(); CORRADE_COMPARE(Math::angle(a, b), 1.162514_radf); CORRADE_COMPARE(Math::angle(-a, -b), 1.162514_radf); CORRADE_COMPARE(Math::angle(-a, b), Rad(180.0_degf) - 1.162514_radf); CORRADE_COMPARE(Math::angle(a, -b), Rad(180.0_degf) - 1.162514_radf); /* Same / opposite. Well, almost. It's interesting how imprecise normalization can get. */ CORRADE_COMPARE_WITH(Math::angle(a, a), 0.0_radf, TestSuite::Compare::around(0.0005_radf)); CORRADE_COMPARE_WITH(Math::angle(a, -a), 180.0_degf, TestSuite::Compare::around(0.0005_radf)); } void VectorTest::angleNormalizedButOver1() { /* This vector *is* normalized, but its length is larger than 1, which would cause acos() to return a NaN. Ensure it's clamped to correct range before passing it there. */ Vector3 a{1.0f + Math::TypeTraits::epsilon()/2, 0.0f, 0.0f}; CORRADE_VERIFY(a.isNormalized()); CORRADE_COMPARE(Math::angle(a, a), 0.0_radf); CORRADE_COMPARE(Math::angle(a, -a), 180.0_degf); } void VectorTest::angleNotNormalized() { CORRADE_SKIP_IF_NO_DEBUG_ASSERT(); std::ostringstream out; Error redirectError{&out}; Math::angle(Vector3(2.0f, 3.0f, 4.0f).normalized(), {1.0f, -2.0f, 3.0f}); Math::angle({2.0f, 3.0f, 4.0f}, Vector3(1.0f, -2.0f, 3.0f).normalized()); CORRADE_COMPARE(out.str(), "Math::angle(): vectors Vector(0.371391, 0.557086, 0.742781) and Vector(1, -2, 3) are not normalized\n" "Math::angle(): vectors Vector(2, 3, 4) and Vector(0.267261, -0.534522, 0.801784) are not normalized\n"); } template class BasicVec2: public Math::Vector<2, T> { public: template constexpr BasicVec2(U&&... args): Math::Vector<2, T>{args...} {} MAGNUM_VECTOR_SUBCLASS_IMPLEMENTATION(2, BasicVec2) }; #ifdef CORRADE_MSVC2015_COMPATIBILITY MAGNUM_VECTORn_OPERATOR_IMPLEMENTATION(2, BasicVec2) #endif typedef BasicVec2 Vec2; typedef BasicVec2 Vec2i; void VectorTest::subclassTypes() { Float* const data = nullptr; const Float* const cdata = nullptr; CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); Vector<1, Float> one; CORRADE_VERIFY(std::is_same::value); /* Const operators */ const Vec2 c; const Vec2 c2; CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); /* Assignment operators */ Vec2 a; CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); /* Modulo operations */ const Vec2i ci; Vec2i i; const Int j = {}; CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); /* Bitwise operations */ CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same> 1), Vec2i>::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same>= 1), Vec2i&>::value); /* Integer multiplication/division */ CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); /* Functions */ CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); CORRADE_VERIFY(std::is_same::value); } void VectorTest::subclass() { Float data[] = {1.0f, -2.0f}; CORRADE_COMPARE(Vec2::from(data), Vec2(1.0f, -2.0f)); const Float cdata[] = {1.0f, -2.0f}; CORRADE_COMPARE(Vec2::from(cdata), Vec2(1.0f, -2.0f)); { const Vector<1, Float> a = 5.0f; Vec2 b = Vec2::pad(a); Vec2 c = Vec2::pad(a, -1.0f); CORRADE_COMPARE(b, Vec2(5.0f, 0.0f)); CORRADE_COMPARE(c, Vec2(5.0f, -1.0f)); constexpr Vector<1, Float> ca = 5.0f; #ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */ constexpr #endif Vec2 cb = Vec2::pad(ca); #ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */ constexpr #endif Vec2 cc = Vec2::pad(ca, -1.0f); CORRADE_COMPARE(cb, Vec2(5.0f, 0.0f)); CORRADE_COMPARE(cc, Vec2(5.0f, -1.0f)); } /* Unary operators */ CORRADE_COMPARE(+Vec2(-2.0f, 5.0f), Vec2(-2.0f, 5.0f)); { constexpr Vec2 ca{-2.0f, 5.0f}; #ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */ constexpr #endif Vec2 cb = +ca; CORRADE_COMPARE(cb, ca); } CORRADE_COMPARE(-Vec2(-2.0f, 5.0f), Vec2(2.0f, -5.0f)); /* Addition / subtraction */ CORRADE_COMPARE(Vec2(-2.0f, 5.0f) + Vec2(1.0f, -3.0f), Vec2(-1.0f, 2.0f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a += Vec2{1.0f, -3.0f}), &a); CORRADE_COMPARE(a, (Vec2{-1.0f, 2.0f})); } CORRADE_COMPARE(Vec2(-2.0f, 5.0f) - Vec2(1.0f, -3.0f), Vec2(-3.0f, 8.0f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a -= Vec2{1.0f, -3.0f}), &a); CORRADE_COMPARE(a, (Vec2{-3.0f, 8.0f})); } /* Multiplication and division with a scalar */ CORRADE_COMPARE(Vec2(-2.0f, 5.0f)*2.0f, Vec2(-4.0f, 10.0f)); CORRADE_COMPARE(2.0f*Vec2(-2.0f, 5.0f), Vec2(-4.0f, 10.0f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a *= 2.0f), &a); CORRADE_COMPARE(a, (Vec2{-4.0f, 10.0f})); } CORRADE_COMPARE(Vec2(-2.0f, 5.0f)/0.5f, Vec2(-4.0f, 10.0f)); CORRADE_COMPARE(2.0f/Vec2(-2.0f, 5.0f), Vec2(-1.0f, 0.4f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a /= 0.5f), &a); CORRADE_COMPARE(a, (Vec2{-4.0f, 10.0f})); } /* Multiplication/division with an integer scalar */ CORRADE_COMPARE(Vec2i(2, 4)*1.5f, Vec2i(3, 6)); CORRADE_COMPARE(1.5f*Vec2i(2, 4), Vec2i(3, 6)); { Vec2i a{2, 4}; CORRADE_COMPARE(&(a *= 1.5f), &a); CORRADE_COMPARE(a, (Vec2i{3, 6})); } { #ifdef CORRADE_TARGET_EMSCRIPTEN CORRADE_EXPECT_FAIL_IF(Vec2i(2, 4)/(2.0f/3.0f) == Vec2i(2, 5), "Emscripten -O1 misoptimizes the following (-O2 works)."); #endif CORRADE_COMPARE(Vec2i(2, 4)/(2.0f/3.0f), Vec2i(3, 6)); } { Vec2i a{2, 4}; CORRADE_COMPARE(&(a /= (2.0f/3.0f)), &a); CORRADE_COMPARE(a, (Vec2i{3, 6})); } /* Multiplication and division with a vector */ CORRADE_COMPARE(Vec2(-2.0f, 5.0f)*Vec2(1.5f, -2.0f), Vec2(-3.0f, -10.0f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a *= Vec2{1.5f, -2.0f}), &a); CORRADE_COMPARE(a, (Vec2{-3.0f, -10.0f})); } CORRADE_COMPARE(Vec2(-2.0f, 5.0f)/Vec2(2.0f/3.0f, -0.5f), Vec2(-3.0f, -10.0f)); { Vec2 a{-2.0f, 5.0f}; CORRADE_COMPARE(&(a /= Vec2{2.0f/3.0f, -0.5f}), &a); CORRADE_COMPARE(a, (Vec2{-3.0f, -10.0f})); } /* Multiplication/division with an integer vector */ CORRADE_COMPARE(Vec2i(2, 4)*Vec2(-1.5f, 0.5f), Vec2i(-3, 2)); CORRADE_COMPARE(Vec2(-1.5f, 0.5f)*Vec2i(2, 4), Vec2i(-3, 2)); { Vec2i a{2, 4}; CORRADE_COMPARE(&(a *= Vec2{-1.5f, 0.5f}), &a); CORRADE_COMPARE(a, (Vec2i{-3, 2})); } { #ifdef CORRADE_TARGET_EMSCRIPTEN CORRADE_EXPECT_FAIL_IF(Vec2i(2, 4)/Vec2(-2.0f/3.0f, 2.0f) == Vec2i(-2, 2), "Emscripten -O1 misoptimizes the following (-O2 works)."); #endif CORRADE_COMPARE(Vec2i(2, 4)/Vec2(-2.0f/3.0f, 2.0f), Vec2i(-3, 2)); } { Vec2i a{2, 4}; CORRADE_COMPARE(&(a /= Vec2{-2.0f/3.0f, 2.0f}), &a); CORRADE_COMPARE(a, (Vec2i{-3, 2})); } /* Modulo operations */ CORRADE_COMPARE(Vec2i(4, 13) % 2, Vec2i(0, 1)); { Vec2i a{4, 13}; CORRADE_COMPARE(&(a %= 2), &a); CORRADE_COMPARE(a, (Vec2i{0, 1})); } CORRADE_COMPARE(Vec2i(4, 13) % Vec2i(2, 5), Vec2i(0, 3)); { Vec2i a{4, 13}; CORRADE_COMPARE(&(a %= Vec2i{2, 5}), &a); CORRADE_COMPARE(a, (Vec2i{0, 3})); } /* Unary bitwise operations */ CORRADE_COMPARE(~Vec2i(85, 240), Vec2i(-86, -241)); /* Bitwise AND, OR and XOR */ CORRADE_COMPARE(Vec2i(85, 240) & Vec2i(170, 85), Vec2i(0, 80)); { Vec2i a{85, 240}; CORRADE_COMPARE(&(a &= Vec2i{170, 85}), &a); CORRADE_COMPARE(a, (Vec2i{0, 80})); } CORRADE_COMPARE(Vec2i(85, 240) | Vec2i(170, 85), Vec2i(255, 245)); { Vec2i a{85, 240}; CORRADE_COMPARE(&(a |= Vec2i{170, 85}), &a); CORRADE_COMPARE(a, (Vec2i{255, 245})); } CORRADE_COMPARE(Vec2i(85, 240) ^ Vec2i(170, 85), Vec2i(255, 165)); { Vec2i a{85, 240}; CORRADE_COMPARE(&(a ^= Vec2i{170, 85}), &a); CORRADE_COMPARE(a, (Vec2i{255, 165})); } /* Bit shift */ CORRADE_COMPARE(Vec2i(7, 32) << 2, Vec2i(28, 128)); { Vec2i a{7, 32}; CORRADE_COMPARE(&(a <<= 2), &a); CORRADE_COMPARE(a, (Vec2i{28, 128})); } CORRADE_COMPARE(Vec2i(7, 32) >> 2, Vec2i(1, 8)); { Vec2i a{7, 32}; CORRADE_COMPARE(&(a >>= 2), &a); CORRADE_COMPARE(a, (Vec2i{1, 8})); } /* Functions */ CORRADE_COMPARE(Vec2(3.0f, 0.0f).normalized(), Vec2(1.0f, 0.0f)); CORRADE_COMPARE(Vec2(3.0f, 0.0f).resized(6.0f), Vec2(6.0f, 0.0f)); CORRADE_COMPARE(Vec2(1.0f, 1.0f).projected({0.0f, 2.0f}), Vec2(0.0f, 1.0f)); CORRADE_COMPARE(Vec2(1.0f, 1.0f).projectedOntoNormalized({0.0f, 1.0f}), Vec2(0.0f, 1.0f)); CORRADE_COMPARE((Vec2{1.0f, 0.4f}).flipped(), (Vec2{0.4f, 1.0f})); #ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */ constexpr #endif Vec2 cflipped = Vec2{1.0f, 0.4f}.flipped(); CORRADE_COMPARE(cflipped, (Vec2{0.4f, 1.0f})); } void VectorTest::strictWeakOrdering() { StrictWeakOrdering o; const Vector2 v2a{1.0f, 2.0f}; const Vector2 v2b{2.0f, 3.0f}; const Vector2 v2c{1.0f, 3.0f}; CORRADE_VERIFY( o(v2a, v2b)); CORRADE_VERIFY(!o(v2b, v2a)); CORRADE_VERIFY( o(v2a, v2c)); CORRADE_VERIFY(!o(v2c, v2a)); CORRADE_VERIFY( o(v2c, v2b)); CORRADE_VERIFY(!o(v2b, v2c)); CORRADE_VERIFY(!o(v2a, v2a)); const Vector3 v3a{1.0f, 2.0f, 3.0f}; const Vector3 v3b{2.0f, 3.0f, 4.0f}; const Vector3 v3c{1.0f, 2.0f, 4.0f}; CORRADE_VERIFY( o(v3a, v3b)); CORRADE_VERIFY(!o(v3b, v3a)); CORRADE_VERIFY( o(v3a, v3c)); CORRADE_VERIFY(!o(v3c, v3a)); CORRADE_VERIFY( o(v3c, v3b)); CORRADE_VERIFY(!o(v3b, v3c)); CORRADE_VERIFY(!o(v3a, v3a)); const Vector4 v4a{1.0f, 2.0f, 3.0f, 4.0f}; const Vector4 v4b{2.0f, 3.0f, 4.0f, 5.0f}; const Vector4 v4c{1.0f, 2.0f, 3.0f, 5.0f}; CORRADE_VERIFY( o(v4a, v4b)); CORRADE_VERIFY(!o(v4b, v4a)); CORRADE_VERIFY( o(v4a, v4c)); CORRADE_VERIFY(!o(v4c, v4a)); CORRADE_VERIFY( o(v4c, v4b)); CORRADE_VERIFY(!o(v4b, v4c)); CORRADE_VERIFY(!o(v4a, v4a)); } void VectorTest::debug() { std::ostringstream o; Debug(&o) << Vector4(0.5f, 15.0f, 1.0f, 1.0f); CORRADE_COMPARE(o.str(), "Vector(0.5, 15, 1, 1)\n"); o.str({}); Debug(&o) << "a" << Vector4() << "b" << Vector4(); CORRADE_COMPARE(o.str(), "a Vector(0, 0, 0, 0) b Vector(0, 0, 0, 0)\n"); } void VectorTest::debugPacked() { std::ostringstream out; /* Second is not packed, the first should not make any flags persistent */ Debug{&out} << Debug::packed << Vector4(0.5f, 15.0f, 1.0f, 1.0f) << Vector4(); CORRADE_COMPARE(out.str(), "{0.5, 15, 1, 1} Vector(0, 0, 0, 0)\n"); } }}}} CORRADE_TEST_MAIN(Magnum::Math::Test::VectorTest)