764 lines
17 KiB
C++
764 lines
17 KiB
C++
#include "gtest/gtest.h"
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#include "pimathmatrix.h"
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bool cmpMatrixWithValue(PIMathMatrix<double> matrix, double val)
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{
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int i = 0;
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int j = 0;
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int k = 0;
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bool b;
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while(i < 9)
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{
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if(k < 3)
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{
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if(matrix.element(j,k) == val)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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k++;
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if(k == 3)
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{
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j++;
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k = 0;
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}
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}
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i++;
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}
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return b;
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}
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TEST(PIMathMatrix_Test, identity)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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int i;
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bool b;
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matrix = origMatr.identity(3, 3);
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for(i = 0; i < 3; i++)
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{
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if(matrix[i][i] == 1.0)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, matrixRow)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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PIMathVector<double> vector;
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uint i;
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bool b;
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vector.resize(3, 3.0);
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vector.fill(5.0);
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matrix = origMatr.matrixRow(vector);
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for(i = 0; i < vector.size(); i++)
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{
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if(matrix[0][i] == 5.0)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, matrixCol)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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PIMathVector<double> vector;
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uint i;
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bool b;
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vector.resize(3, 3.0);
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vector.fill(5.0);
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matrix = origMatr.matrixCol(vector);
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for(i = 0; i < vector.size(); i++)
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{
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if(matrix[i][0] == 5.0)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, setCol)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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PIMathVector<double> vector;
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uint i;
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bool b;
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vector.resize(3, 3.0);
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vector.fill(5.0);
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matrix = origMatr.matrixCol(vector);
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vector.fill(10.0);
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matrix.setCol(0, vector);
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for(i = 0; i < vector.size(); i++)
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{
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if(matrix[i][0] == 10.0)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, setRow)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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PIMathVector<double> vector;
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uint i;
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bool b;
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vector.resize(3, 3.0);
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vector.fill(5.0);
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matrix = origMatr.matrixRow(vector);
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vector.fill(10.0);
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matrix.setRow(0, vector);
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for(i = 0; i < vector.size(); i++)
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{
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if(matrix[0][i] == 10.0)
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{
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b = true;
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}
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else
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{
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b = false;
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break;
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}
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, swapCols)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathVector<double> vector;
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uint i1 = 0; uint i2 = 1;
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double a1[3], a2[3], a3[3];
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double b1[3], b2[3], b3[3];
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bool b;
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vector.resize(3, 3.0);
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vector.at(0) = 3.0;
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vector.at(1) = 6.0;
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vector.at(2) = 8.0;
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matrix1 = origMatr.identity(3, 3);
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matrix1.setCol(0, vector);
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vector.at(0) = 2.0;
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vector.at(1) = 1.0;
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vector.at(2) = 4.0;
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matrix1.setCol(1, vector);
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vector.at(0) = 6.0;
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vector.at(1) = 2.0;
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vector.at(2) = 5.0;
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matrix1.setCol(2, vector);
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for(int i = 0; i < 3; i++)
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{
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a1[i] = matrix1.element(i, 0);
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a2[i] = matrix1.element(i, 1);
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a3[i] = matrix1.element(i, 2);
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}
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matrix1.swapCols(i1, i2);
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for(int i = 0; i < 3; i++)
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{
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b1[i] = matrix1.element(i, 0);
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b2[i] = matrix1.element(i, 1);
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b3[i] = matrix1.element(i, 2);
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}
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if((memcmp(a1, b2, sizeof(b1)) == 0) && (memcmp(a2, b1, sizeof(b1)) == 0) && (memcmp(a3, b3, sizeof(b1)) == 0))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, swapRows)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathVector<double> vector;
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uint i1 = 0; uint i2 = 1;
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double a1[3], a2[3], a3[3];
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double b1[3], b2[3], b3[3];
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bool b;
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vector.resize(3, 3.0);
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vector.at(0) = 3.0;
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vector.at(1) = 6.0;
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vector.at(2) = 8.0;
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matrix1 = origMatr.identity(3, 3);
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matrix1.setCol(0, vector);
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vector.at(0) = 2.0;
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vector.at(1) = 1.0;
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vector.at(2) = 4.0;
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matrix1.setCol(1, vector);
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vector.at(0) = 6.0;
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vector.at(1) = 2.0;
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vector.at(2) = 5.0;
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matrix1.setCol(2, vector);
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for(int i = 0; i < 3; i++)
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{
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a1[i] = matrix1.element(0, i);
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a2[i] = matrix1.element(1, i);
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a3[i] = matrix1.element(2, i);
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}
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matrix1.swapRows(i1, i2);
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for(int i = 0; i < 3; i++)
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{
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b1[i] = matrix1.element(0, i);
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b2[i] = matrix1.element(1, i);
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b3[i] = matrix1.element(2, i);
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}
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if((memcmp(a1, b2, sizeof(b1)) == 0) && (memcmp(a2, b1, sizeof(b1)) == 0) && (memcmp(a3, b3, sizeof(b1)) == 0))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, fill)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix;
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bool b;
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matrix = origMatr.identity(3, 3);
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matrix.fill(5.0);
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b = cmpMatrixWithValue(matrix, 5.0);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, isSquare)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(4,3);
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if((matrix1.isSquare() == true) && (matrix2.isSquare() == false))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, isIdentity)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix2.fill(3.932);
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if((matrix1.isIdentity() == true) && (matrix2.isIdentity() == false))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, isNull)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix1.fill(0.0);
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matrix2.fill(3.932);
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if((matrix1.isNull() == true) && (matrix2.isNull() == false))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, isValid)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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if((matrix1.isValid() == true) && (matrix2.isValid() == false))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Assignment)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix2.fill(6.72);
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matrix1 = matrix2;
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b = cmpMatrixWithValue(matrix1, 6.72);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Equal)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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PIMathMatrix<double> matrix3;
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PIMathVector<double> vector;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix3 = origMatr.identity(3,3);
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vector.resize(3, 3.0);
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vector.at(0) = 3.0;
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vector.at(1) = 6.0;
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vector.at(2) = 8.0;
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matrix1.setCol(0, vector);
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matrix2.setCol(0, vector);
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matrix3.setCol(0, vector);
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vector.at(0) = 2.0;
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vector.at(1) = 1.0;
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vector.at(2) = 4.0;
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matrix1.setCol(1, vector);
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matrix2.setCol(1, vector);
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matrix3.setCol(1, vector);
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vector.at(0) = 6.0;
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vector.at(1) = 2.0;
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vector.at(2) = 5.0;
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matrix1.setCol(2, vector);
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matrix2.setCol(2, vector);
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vector.at(0) = 566.0;
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vector.at(1) = 564.0;
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vector.at(2) = 543.0;
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matrix3.setCol(2, vector);
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if(((matrix1 == matrix2) == true) && ((matrix1 == matrix3) == false))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Not_Equal)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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PIMathMatrix<double> matrix3;
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PIMathVector<double> vector;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix3 = origMatr.identity(3,3);
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vector.resize(3, 3.0);
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vector.at(0) = 3.0;
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vector.at(1) = 6.0;
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vector.at(2) = 8.0;
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matrix1.setCol(0, vector);
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matrix2.setCol(0, vector);
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matrix3.setCol(0, vector);
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vector.at(0) = 2.0;
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vector.at(1) = 1.0;
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vector.at(2) = 4.0;
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matrix1.setCol(1, vector);
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matrix2.setCol(1, vector);
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matrix3.setCol(1, vector);
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vector.at(0) = 6.0;
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vector.at(1) = 2.0;
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vector.at(2) = 5.0;
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matrix1.setCol(2, vector);
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matrix2.setCol(2, vector);
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vector.at(0) = 566.0;
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vector.at(1) = 564.0;
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vector.at(2) = 543.0;
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matrix3.setCol(2, vector);
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if(((matrix1 != matrix2) == false) && ((matrix1 != matrix3) == true))
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Addition_Aassignment)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix2.fill(6.72);
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matrix1.fill(1.0);
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matrix1 += matrix2;
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b = cmpMatrixWithValue(matrix1, 7.72);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Subtraction_Assignment)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix2.fill(6.72);
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matrix1.fill(1.0);
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matrix1 -= matrix2;
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b = cmpMatrixWithValue(matrix1, -5.72);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Multiplication_Assignment)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix1.fill(6.72);
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matrix1 *= 2.0;
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b = cmpMatrixWithValue(matrix1, 13.44);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Division_Assignment)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix1.fill(6.72);
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matrix1 /= 2.0;
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b = cmpMatrixWithValue(matrix1, 3.36);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Addition)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
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matrix1.fill(6.72);
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matrix2.fill(8.28);
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b = cmpMatrixWithValue(matrix1 + matrix2, 15.0);
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Subtraction)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3, 3);
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matrix2 = origMatr.identity(3, 3);
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origMatr.fill(8.0);
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matrix1.fill(8.28);
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origMatr = origMatr - matrix1;
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matrix2.fill(-0.28);
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if(origMatr == matrix2)
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{
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b = true;
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}
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else
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{
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b = false;
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}
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ASSERT_TRUE(b);
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}
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TEST(PIMathMatrix_Test, operator_Multiplication)
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{
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PIMathMatrix<double> origMatr;
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PIMathMatrix<double> matrix1;
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PIMathMatrix<double> matrix2;
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bool b;
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matrix1 = origMatr.identity(3,3);
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matrix2 = origMatr.identity(3,3);
|
|
matrix1.fill(6.72);
|
|
matrix2 = matrix1*4.0;
|
|
b = cmpMatrixWithValue(matrix2, 26.88);
|
|
ASSERT_TRUE(b);
|
|
}
|
|
TEST(PIMathMatrix_Test, operator_Division)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
PIMathMatrix<double> matrix1;
|
|
PIMathMatrix<double> matrix2;
|
|
bool b;
|
|
matrix1 = origMatr.identity(3,3);
|
|
matrix2 = origMatr.identity(3,3);
|
|
matrix1.fill(6.72);
|
|
matrix2 = matrix1/4.0;
|
|
b = cmpMatrixWithValue(matrix2, 1.68);
|
|
ASSERT_TRUE(b);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, determinant)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d;
|
|
double i = 59.0;
|
|
PIMathMatrix<double> matrix;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix = origMatr.identity(3, 3);
|
|
matrix.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix.setCol(2, vector);
|
|
d = matrix.determinant();
|
|
ASSERT_DOUBLE_EQ(d, i);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, trace)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double t;
|
|
double i = 9.0;
|
|
PIMathMatrix<double> matrix;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix = origMatr.identity(3, 3);
|
|
matrix.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix.setCol(2, vector);
|
|
t = matrix.trace();
|
|
ASSERT_DOUBLE_EQ(t, i);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, toUpperTriangular)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d1, d2 = 1;
|
|
int i;
|
|
PIMathMatrix<double> matrix;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix = origMatr.identity(3, 3);
|
|
matrix.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix.setCol(2, vector);
|
|
d1 = matrix.determinant();
|
|
matrix.toUpperTriangular();
|
|
for(i = 0; i < 3; i++)
|
|
{
|
|
d2 = d2 * matrix.element(i, i);
|
|
}
|
|
ASSERT_DOUBLE_EQ(d1, d2);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, invert)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d1, d2;
|
|
bool b;
|
|
PIMathMatrix<double> matrix1;
|
|
PIMathMatrix<double> matrix2;
|
|
PIMathMatrix<double> matrix3;
|
|
PIMathMatrix<double> matrix4;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix1 = origMatr.identity(3, 3);
|
|
matrix1.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix1.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix1.setCol(2, vector);
|
|
d1 = matrix1.determinant();
|
|
matrix2 = matrix1;
|
|
matrix2.invert();
|
|
d2 = matrix2.determinant();
|
|
matrix3 = origMatr.identity(3, 3);
|
|
matrix4 = origMatr.identity(3, 3);
|
|
matrix4.invert();
|
|
if((matrix3 == matrix4) && (round((1/d1)*10000)/10000 == round(d2*10000)/10000))
|
|
{
|
|
b = true;
|
|
}
|
|
else
|
|
{
|
|
b = false;
|
|
}
|
|
ASSERT_TRUE(b);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, inverted)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d1, d2;
|
|
bool b;
|
|
PIMathMatrix<double> matrix1;
|
|
PIMathMatrix<double> matrix2;
|
|
PIMathMatrix<double> matrix3;
|
|
PIMathMatrix<double> matrix4;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix1 = origMatr.identity(3, 3);
|
|
matrix1.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix1.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix1.setCol(2, vector);
|
|
d1 = matrix1.determinant();
|
|
matrix2 = matrix1;
|
|
matrix1 = matrix2.invert();
|
|
d2 = matrix1.determinant();
|
|
matrix3 = origMatr.identity(3, 3);
|
|
matrix4 = origMatr.identity(3, 3);
|
|
matrix3 = matrix4.invert();
|
|
if((matrix3 == matrix4) && (round((1/d1)*10000)/10000 == round(d2*10000)/10000))
|
|
{
|
|
b = true;
|
|
}
|
|
else
|
|
{
|
|
b = false;
|
|
}
|
|
ASSERT_TRUE(b);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, transposed)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d1, d2;
|
|
bool b;
|
|
PIMathMatrix<double> matrix1;
|
|
PIMathMatrix<double> matrix2;
|
|
PIMathMatrix<double> matrix3;
|
|
PIMathVector<double> vector;
|
|
vector.resize(3, 3.0);
|
|
vector.at(0) = 3.0;
|
|
vector.at(1) = 6.0;
|
|
vector.at(2) = 8.0;
|
|
matrix1 = origMatr.identity(3, 3);
|
|
matrix1.setCol(0, vector);
|
|
vector.at(0) = 2.0;
|
|
vector.at(1) = 1.0;
|
|
vector.at(2) = 4.0;
|
|
matrix1.setCol(1, vector);
|
|
vector.at(0) = 6.0;
|
|
vector.at(1) = 2.0;
|
|
vector.at(2) = 5.0;
|
|
matrix1.setCol(2, vector);
|
|
d1 = matrix1.determinant();
|
|
matrix2 = matrix1.transposed();
|
|
d2 = matrix2.determinant();
|
|
matrix3 = matrix2.transposed();
|
|
if((d1 == d2) && (matrix1 == matrix3))
|
|
{
|
|
b = true;
|
|
}
|
|
else
|
|
{
|
|
b = false;
|
|
}
|
|
ASSERT_TRUE(b);
|
|
}
|