/* Copyright © 2010, 2011, 2012 Vladimír Vondruš This file is part of Magnum. Magnum is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License version 3 only, as published by the Free Software Foundation. Magnum is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License version 3 for more details. */ #include #include #include #include "Math/Constants.h" #include "Math/Vector.h" using namespace Corrade::Utility; namespace Magnum { namespace Math { namespace Test { class VectorTest: public Corrade::TestSuite::Tester { public: VectorTest(); void constructFromData(); void constructDefault(); void constructConversion(); void data(); void negative(); void addSubtract(); void multiplyDivide(); void multiplyDivideComponentWise(); void compare(); void compareComponentWise(); void dot(); void dotSelf(); void length(); void normalized(); void sum(); void product(); void min(); void max(); void projected(); void angle(); void lerp(); void debug(); void configuration(); }; typedef Vector<3, float> Vector3; typedef Vector<4, float> Vector4; typedef Vector<4, std::int32_t> Vector4i; VectorTest::VectorTest() { addTests(&VectorTest::constructFromData, &VectorTest::constructDefault, &VectorTest::constructConversion, &VectorTest::data, &VectorTest::negative, &VectorTest::addSubtract, &VectorTest::multiplyDivide, &VectorTest::multiplyDivideComponentWise, &VectorTest::compare, &VectorTest::compareComponentWise, &VectorTest::dot, &VectorTest::dotSelf, &VectorTest::length, &VectorTest::normalized, &VectorTest::sum, &VectorTest::product, &VectorTest::min, &VectorTest::max, &VectorTest::projected, &VectorTest::angle, &VectorTest::lerp, &VectorTest::debug, &VectorTest::configuration); } 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::constructDefault() { CORRADE_COMPARE(Vector4(), Vector4(0.0f, 0.0f, 0.0f, 0.0f)); } void VectorTest::constructConversion() { Vector4 floatingPoint(1.3f, 2.7f, -15.0f, 7.0f); Vector4 floatingPointRounded(1.0f, 2.0f, -15.0f, 7.0f); Vector4i integral(1, 2, -15, 7); CORRADE_COMPARE(Vector4i(floatingPoint), integral); CORRADE_COMPARE(Vector4(integral), floatingPointRounded); } void VectorTest::data() { Vector4 vector(4.0f, 5.0f, 6.0f, 7.0f); vector[2] = 1.0f; vector[3] = 1.5f; CORRADE_COMPARE(vector[2], 1.0f); CORRADE_COMPARE(vector[3], 1.5f); CORRADE_COMPARE(vector, Vector4(4.0f, 5.0f, 1.0f, 1.5f)); } void VectorTest::compare() { CORRADE_VERIFY(Vector4(1.0f, -3.5f, 5.0f, -10.0f) == Vector4(1.0f + MathTypeTraits::epsilon()/2, -3.5f, 5.0f, -10.0f)); CORRADE_VERIFY(Vector4(1.0f, -1.0f, 5.0f, -10.0f) != Vector4(1.0f, -1.0f + MathTypeTraits::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() { CORRADE_VERIFY(Vector4(1.0f, -2.0f, -5.0f, 7.0f) < Vector4(1.1f, -1.0f, 3.0f, 8.0f)); CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 7.0f) < Vector4(1.1f, -1.0f, 3.0f, 7.0f))); CORRADE_VERIFY(Vector4(1.0f, -2.0f, -5.0f, 7.0f) <= Vector4(1.1f, -1.0f, 3.0f, 7.0f)); CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 7.0f) <= Vector4(1.0f, -2.0f, -5.0f, 6.0f))); CORRADE_VERIFY(Vector4(1.1f, -1.0f, 3.0f, 7.0f) >= Vector4(1.0f, -2.0f, -5.0f, 7.0f)); CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 6.0f) >= Vector4(1.0f, -2.0f, -5.0f, 7.0f))); CORRADE_VERIFY(Vector4(1.1f, -1.0f, 3.0f, 8.0f) > Vector4(1.0f, -2.0f, -5.0f, 7.0f)); CORRADE_VERIFY(!(Vector4(1.1f, -1.0f, 3.0f, 7.0f) > Vector4(1.0f, -2.0f, -5.0f, 7.0f))); } void VectorTest::negative() { CORRADE_COMPARE(-Vector4(1.0f, -3.0f, 5.0f, -10.0f), Vector4(-1.0f, 3.0f, -5.0f, 10.0f)); } void VectorTest::addSubtract() { Vector4 a(1.0f, -3.0f, 5.0f, -10.0f); Vector4 b(7.5f, 33.0f, -15.0f, 0.0f); Vector4 c(8.5f, 30.0f, -10.0f, -10.0f); CORRADE_COMPARE(a + b, c); CORRADE_COMPARE(c - b, a); } void VectorTest::multiplyDivide() { Vector4 vector(1.0f, 2.0f, 3.0f, 4.0f); Vector4 multiplied(-1.5f, -3.0f, -4.5f, -6.0f); CORRADE_COMPARE(vector*-1.5f, multiplied); CORRADE_COMPARE(-1.5f*vector, multiplied); CORRADE_COMPARE(multiplied/-1.5f, vector); Math::Vector<1, std::int8_t> vectorChar(32); Math::Vector<1, std::int8_t> multipliedChar(-48); CORRADE_COMPARE(vectorChar*-1.5f, multipliedChar); CORRADE_COMPARE(multipliedChar/-1.5f, vectorChar); CORRADE_COMPARE(-1.5f*vectorChar, multipliedChar); /* Divide vector with number and inverse */ Vector4 divisor(1.0f, 2.0f, -4.0f, 8.0f); Vector4 result(1.0f, 0.5f, -0.25f, 0.125f); CORRADE_COMPARE(1.0f/divisor, result); CORRADE_COMPARE(-1550.0f/multipliedChar, vectorChar); } void VectorTest::multiplyDivideComponentWise() { Vector4 vec(1.0f, 2.0f, 3.0f, 4.0f); Vector4 multiplier(7.0f, -4.0f, -1.5f, 1.0f); Vector4 multiplied(7.0f, -8.0f, -4.5f, 4.0f); CORRADE_COMPARE(vec*multiplier, multiplied); CORRADE_COMPARE(multiplied/multiplier, vec); } void VectorTest::dot() { CORRADE_COMPARE(Vector4::dot({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::normalized() { CORRADE_COMPARE(Vector4(1.0f, 1.0f, 1.0f, 1.0f).normalized(), Vector4(0.5f, 0.5f, 0.5f, 0.5f)); } 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() { CORRADE_COMPARE(Vector3(1.0f, -2.0f, 3.0f).min(), -2.0f); } void VectorTest::max() { CORRADE_COMPARE(Vector3(1.0f, -2.0f, 3.0f).max(), 3.0f); } 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::angle() { std::ostringstream o; Error::setOutput(&o); CORRADE_COMPARE(Vector3::angle(Vector3(2.0f, 3.0f, 4.0f).normalized(), {1.0f, -2.0f, 3.0f}), std::numeric_limits::quiet_NaN()); CORRADE_COMPARE(o.str(), "Math::Vector::angle(): vectors must be normalized\n"); o.str(""); CORRADE_COMPARE(Vector3::angle({2.0f, 3.0f, 4.0f}, Vector3(1.0f, -2.0f, 3.0f).normalized()), std::numeric_limits::quiet_NaN()); CORRADE_COMPARE(o.str(), "Math::Vector::angle(): vectors must be normalized\n"); CORRADE_COMPARE(Vector3::angle(Vector3(2.0f, 3.0f, 4.0f).normalized(), Vector3(1.0f, -2.0f, 3.0f).normalized()), rad(1.162514f)); } void VectorTest::lerp() { Vector3 a(-1.0f, 2.0f, 3.0f); Vector3 b(3.0f, -2.0f, 11.0f); CORRADE_COMPARE(Vector3::lerp(a, b, 0.25f), Vector3(0.0f, 1.0f, 5.0f)); typedef Math::Vector<3, std::int32_t> Vector3ub; Vector3ub c(0, 128, 64); Vector3ub d(16, 0, 32); CORRADE_COMPARE(Vector3ub::lerp(c, d, 0.25f), Vector3ub(4, 96, 56)); } 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::configuration() { Configuration c; Vector4 vec(3.0f, 3.125f, 9.0f, 9.55f); std::string value("3 3.125 9 9.55"); c.setValue("vector", vec); CORRADE_COMPARE(c.value("vector"), value); CORRADE_COMPARE(c.value("vector"), vec); } }}} CORRADE_TEST_MAIN(Magnum::Math::Test::VectorTest)