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82 lines
2.7 KiB
C++
82 lines
2.7 KiB
C++
/* Copyright (C) 2013 VATSIM Community / contributors
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* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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#include "testvectormatrix.h"
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using namespace BlackMisc::Math;
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namespace BlackMiscTest
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{
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/*
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* Basic tests vector
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*/
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void CTestVectorMatrix::vectorBasics()
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{
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CVector3D v1(1);
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v1 *= 2.0;
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CVector3D v2(2);
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QVERIFY2(v1 == v2, "Vectors should be equal");
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QVERIFY2(v1 * 2 == 2 * v2, "Commutative vector multiplication failed");
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CVector3D v3(1, 1, 1);
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CVector3D v4(2, 2, 2);
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CVector3D v5 = v3.crossProduct(v4);
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QVERIFY2(v5.isZeroEpsilon(), "Cross product shall be {0, 0, 0}");
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CVector3D v6(1, 2, 3);
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CVector3D v7(3, 4, 5);
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QVERIFY2(v6.crossProduct(v7) == CVector3D(-2, 4, -2), "Cross product is wrong");
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QVERIFY2(v6.dotProduct(v7) == 26, "Dot product is wrong, 26 expected");
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QVERIFY2(v6.length() == sqrt(1.0 + 4.0 + 9.0), "Wrong vector magnitude");
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}
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/*
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* Matrix tests
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* http://www.bluebit.gr/matrix-calculator/
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*/
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void CTestVectorMatrix::matrixBasics()
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{
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CMatrix3x3 m1;
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CMatrix3x3 m2 = m1 - m1;
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QVERIFY2(m1.isIdentity(), "Default matrix should be identity");
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QVERIFY2(m2.isZero(), "Matrix should be zero");
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bool invertible;
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CMatrix3x3 mr;
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CMatrix3x3 msame(3.0);
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mr = msame.inverse(invertible);
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QVERIFY2(!invertible, "Matrix with sigular values cannot be inverted");
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mr.setToIdentity();
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QVERIFY2(mr.determinant() == 1, "Identity matrix should have determinant 1");
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mr = mr.inverse(invertible);
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QVERIFY2(invertible && mr.isIdentity() == 1, "Identity matrix should have inverse identity");
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m1.setToIdentity();
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m2 = m1 + m1;
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m1 = m1 * 2.0;
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QVERIFY2(m1 == m2, "2* Identity should be Identity + Identity");
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QVERIFY2(m1 * 2 == 2 * m1, "Commutative matrix multiplication failed");
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m1 /= 2.0;
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m2 -= m1;
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QVERIFY2(m1 == m2, "Identity should be Identity");
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m1 = CMatrix3x3(1, 5, 3, 2, 4, 7, 4, 6, 2);
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double det = m1.determinant();
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QVERIFY2(det == 74, qPrintable(QString("Determinant should be 74, but is: %1").arg(det)));
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QVERIFY2(m1(0, 0) == 1 && m1(1, 0) == 2 && m1(0, 2) == 3, "Index error");
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CMatrix3x3 mi = m1.inverse(invertible);
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CMatrix3x3 mid = m1 * mi;
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QVERIFY2(mid.isIdentityEpsilon(), qPrintable(QString("Multiply with inverse should be identity: %1").arg(mid.toQString())));
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m1.setToIdentity();
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CMatrix3x1 mc1 = m1.getColumn(0);
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CMatrix1x3 mr2 = m1.getRow(1);
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QVERIFY2(mc1 == CMatrix3x1(1, 0, 0), "Wrong column 0");
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QVERIFY2(mr2 == CMatrix1x3(0, 1, 0), "Wrong row 1");
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}
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} // namespace
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