615 lines
16 KiB
C++
615 lines
16 KiB
C++
#include "gtest/gtest.h"
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#include "pimathmatrix.h"
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template<typename Type>
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bool cmpSquareMatrixWithValue(PIMathMatrix<double> matrix, Type val, int num)
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{
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bool b = true;
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for(int i = 0; i < num; i++) {
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for(int j = 0; j < num; j++) {
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if(matrix.element(i, j) != val) {
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b = false;
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}
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}
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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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auto matrix = PIMathMatrix<double>::identity(3, 3);
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for(int i = 0; i < 3; i++){
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if(matrix[i][i] != 1.0){
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ASSERT_TRUE(false);
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}
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}
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for(int i = 0; i < 3; i++){
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for(int j = 0; j < 3; j++){
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if(i != j){
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if(matrix[i][j] != 0.0){
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ASSERT_TRUE(false);
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}
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}
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}
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}
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ASSERT_TRUE(true);
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}
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TEST(PIMathMatrixT_Test, element)
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{
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auto matrix = PIMathMatrix<double>::identity(3, 3);
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for(uint i = 0; i < 3; i++) {
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if(matrix.element(i,i) != 1.0) {
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ASSERT_TRUE(false);
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}
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}
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for(int i = 0; i < 3; i++){
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for(int j = 0; j < 3; j++){
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if(i != j){
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if(matrix[i][j] != 0.0){
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ASSERT_TRUE(false);
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}
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}
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}
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}
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ASSERT_TRUE(true);
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}
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TEST(PIMathMatrix_Test, matrixRow)
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{
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PIMathVector<double> vector;
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vector.resize(3, 3.0);
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auto matrix = PIMathMatrix<double>::matrixRow(vector);
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for(uint i = 0; i < vector.size(); i++) {
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if(matrix[0][i] != 3.0) {
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ASSERT_TRUE(false);
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}
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}
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ASSERT_TRUE(true);
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}
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TEST(PIMathMatrix_Test, matrixCol)
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{
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PIMathVector<double> vector;
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vector.resize(3, 3.0);
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auto matrix = PIMathMatrix<double>::matrixCol(vector);
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for(uint i = 0; i < vector.size(); i++) {
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if(matrix[i][0] != 3.0) {
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ASSERT_TRUE(false);
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}
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}
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ASSERT_TRUE(true);
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}
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TEST(PIMathMatrix_Test, setCol)
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{
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PIMathVector<double> vector;
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vector.resize(3, 3.0);
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auto matrix = PIMathMatrix<double>::matrixCol(vector);
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vector.fill(10.0);
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matrix.setCol(0, vector);
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for(uint i = 0; i < vector.size(); i++) {
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if(matrix[i][0] != 10.0) {
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ASSERT_TRUE(false);
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}
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}
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ASSERT_TRUE(true);
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}
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TEST(PIMathMatrix_Test, setRow)
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{
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PIMathVector<double> vector;
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vector.resize(3, 3.0);
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auto matrix = PIMathMatrix<double>::matrixRow(vector);
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vector.fill(10.0);
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matrix.setRow(0, vector);
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for(uint i = 0; i < vector.size(); i++) {
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if(matrix[0][i] != 10.0) {
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ASSERT_TRUE(false);
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}
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}
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ASSERT_TRUE(true);
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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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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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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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b = true;
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}
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else {
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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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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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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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b = true;
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}
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else {
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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> matrix(3, 3, 5.0);
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matrix.fill(7.0);
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix, 7.0, 3));
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}
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TEST(PIMathMatrix_Test, isSquareTrue)
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{
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PIMathMatrix<double> matrix(3, 3, 1.0);
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ASSERT_TRUE(matrix.isSquare());
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}
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TEST(PIMathMatrix_Test, isSquareFalse)
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{
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PIMathMatrix<double> matrix(2, 4, 1.0);
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ASSERT_FALSE(matrix.isSquare());
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}
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TEST(PIMathMatrix_Test, isIdentityTrue)
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{
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auto matrix = PIMathMatrix<double>::identity(3, 3);
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ASSERT_TRUE(matrix.isIdentity());
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}
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TEST(PIMathMatrix_Test, isIdentityFalse)
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{
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PIMathMatrix<double> matrix(3, 3, 5.0);
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ASSERT_FALSE(matrix.isIdentity());
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}
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TEST(PIMathMatrix_Test, isNullTrue)
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{
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PIMathMatrix<double> matrix(3, 3, 0.0);
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ASSERT_TRUE(matrix.isNull());
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}
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TEST(PIMathMatrix_Test, isNullFalse)
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{
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PIMathMatrix<double> matrix(3, 3, 5.0);
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ASSERT_FALSE(matrix.isNull());
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}
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TEST(PIMathMatrix_Test, isValidTrue)
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{
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PIMathMatrix<double> matrix(3, 3, 1.62);
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ASSERT_TRUE(matrix.isValid());
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}
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TEST(PIMathMatrix_Test, isValidFalse)
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{
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PIMathMatrix<double> matrix;
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ASSERT_FALSE(matrix.isValid());
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}
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TEST(PIMathMatrix_Test, operator_Assignment)
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{
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PIMathMatrix<double> matrix1(3, 3, 5.72);
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PIMathMatrix<double> matrix2(3, 3, 7.12);
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matrix1 = matrix2;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1, 7.12, 3));
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}
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TEST(PIMathMatrix_Test, operator_EqualTrue)
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{
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PIMathMatrix<double> matrix1(2, 2, 2.0);
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PIMathMatrix<double> matrix2(2, 2, 2.0);
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matrix1.element(0, 0) = 5.1;
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matrix1.element(0, 1) = 1.21;
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matrix1.element(1, 1) = 0.671;
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matrix1.element(1, 0) = 2.623;
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matrix2.element(0, 0) = 5.1;
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matrix2.element(0, 1) = 1.21;
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matrix2.element(1, 1) = 0.671;
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matrix2.element(1, 0) = 2.623;
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ASSERT_TRUE(matrix1 == matrix2);
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}
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TEST(PIMathMatrix_Test, operator_EqualFalse)
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{
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PIMathMatrix<double> matrix1(2, 2, 2.0);
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PIMathMatrix<double> matrix2(2, 2, 2.0);
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matrix1.element(0, 0) = 5.1;
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matrix1.element(0, 1) = 1.21;
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matrix1.element(1, 1) = 0.671;
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matrix1.element(1, 0) = 2.623;
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matrix2.element(0, 0) = 5.1;
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matrix2.element(0, 1) = 1.21;
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matrix2.element(1, 1) = 665.671;
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matrix2.element(1, 0) = 2.623;
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ASSERT_FALSE(matrix1 == matrix2);
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}
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TEST(PIMathMatrix_Test, operator_Not_EqualTrue)
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{
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PIMathMatrix<double> matrix1(2, 2, 2.0);
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PIMathMatrix<double> matrix2(2, 2, 2.0);
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matrix1.element(0, 0) = 5.1;
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matrix1.element(0, 1) = 1.21;
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matrix1.element(1, 1) = 0.671;
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matrix1.element(1, 0) = 2.623;
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matrix2.element(0, 0) = 5.1;
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matrix2.element(0, 1) = 1.21;
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matrix2.element(1, 1) = 665.671;
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matrix2.element(1, 0) = 2.623;
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ASSERT_TRUE(matrix1 != matrix2);
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}
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TEST(PIMathMatrix_Test, operator_Not_EqualFalse)
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{
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PIMathMatrix<double> matrix1(2, 2, 2.0);
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PIMathMatrix<double> matrix2(2, 2, 2.0);
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matrix1.element(0, 0) = 5.1;
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matrix1.element(0, 1) = 1.21;
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matrix1.element(1, 1) = 0.671;
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matrix1.element(1, 0) = 2.623;
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matrix2.element(0, 0) = 5.1;
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matrix2.element(0, 1) = 1.21;
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matrix2.element(1, 1) = 0.671;
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matrix2.element(1, 0) = 2.623;
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ASSERT_FALSE(matrix1 != matrix2);
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}
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TEST(PIMathMatrix_Test, operator_Addition_Aassignment)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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PIMathMatrix<double> matrix2(3, 3, 1.0);
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matrix1 += matrix2;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1, 7.72, 3));
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}
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TEST(PIMathMatrix_Test, operator_Subtraction_Assignment)
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{
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PIMathMatrix<double> matrix1(3, 3, 1.0);
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PIMathMatrix<double> matrix2(3, 3, 6.72);
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matrix1 -= matrix2;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1, -5.72, 3));
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}
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TEST(PIMathMatrix_Test, operator_Multiplication_Assignment)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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matrix1 *= 2.0;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1, 13.44, 3));
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}
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TEST(PIMathMatrix_Test, operator_Division_Assignment)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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matrix1 /= 2.0;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1, 3.36, 3));
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}
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TEST(PIMathMatrix_Test, operator_Addition)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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PIMathMatrix<double> matrix2(3, 3, 8.28);
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1 + matrix2, 15.0, 3));
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}
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TEST(PIMathMatrix_Test, operator_Subtraction)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.0);
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PIMathMatrix<double> matrix2(3, 3, 5.0);
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1 - matrix2, 1.0, 3));
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}
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TEST(PIMathMatrix_Test, operator_Multiplication)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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PIMathMatrix<double> matrix2(3, 3, 5.0);
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matrix2 = matrix1*4.0;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix2, 26.88, 3));
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}
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TEST(PIMathMatrix_Test, operator_Division)
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{
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PIMathMatrix<double> matrix1(3, 3, 6.72);
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PIMathMatrix<double> matrix2(3, 3, 5.0);
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matrix2 = matrix1/4.0;
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ASSERT_TRUE(cmpSquareMatrixWithValue(matrix2, 1.68, 3));
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}
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TEST(PIMathMatrix_Test, determinantIfSquare)
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{
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double d;
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double i = 59.0;
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PIMathMatrix<double> matrix(3, 3, 0.0);
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PIMathVector<double> vector;
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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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matrix.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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matrix.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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matrix.setCol(2, vector);
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d = matrix.determinant();
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ASSERT_DOUBLE_EQ(d, i);
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}
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TEST(PIMathMatrix_Test, determinantIfNotSquare)
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{
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PIMathMatrix<double> matrix(3, 5, 1.0);
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matrix.element(1,1) = 5.0;
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ASSERT_FALSE(matrix.determinant());
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}
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TEST(PIMathMatrix_Test, trace)
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{
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PIMathMatrix<double> matrix(3, 3, 0.0);
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double t;
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double i = 9.0;
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PIMathVector<double> vector;
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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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matrix.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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matrix.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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matrix.setCol(2, vector);
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t = matrix.trace();
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ASSERT_DOUBLE_EQ(t, i);
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}
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TEST(PIMathMatrix_Test, traceIfNotSquare)
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{
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PIMathMatrix<double> matrix(3, 5, 1.0);
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matrix.element(1,1) = 5.0;
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ASSERT_FALSE(matrix.trace());
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}
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TEST(PIMathMatrix_Test, toUpperTriangular)
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{
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PIMathMatrix<double> matrix(3, 3, 0.0);
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double d1, d2 = 1;
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int i;
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PIMathVector<double> vector;
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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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matrix.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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matrix.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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matrix.setCol(2, vector);
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d1 = matrix.determinant();
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matrix.toUpperTriangular();
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for(i = 0; i < 3; i++)
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{
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d2 = d2 * matrix.element(i, i);
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}
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ASSERT_DOUBLE_EQ(d1, d2);
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}
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TEST(PIMathMatrix_Test, invert)
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{
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double d1, d2;
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PIMathMatrix<double> matrix1(3, 3, 0.0);
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PIMathMatrix<double> matrix2(3, 3, 0.0);
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PIMathMatrix<double> matrix3(3, 3, 0.0);
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PIMathMatrix<double> matrix4(3, 3, 0.0);
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PIMathVector<double> vector;
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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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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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d1 = matrix1.determinant();
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matrix2 = matrix1;
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matrix2.invert();
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d2 = matrix2.determinant();
|
|
matrix4.invert();
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ASSERT_TRUE((matrix3 == matrix4) && (round((1/d1)*10000)/10000 == round(d2*10000)/10000));
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}
|
|
|
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TEST(PIMathMatrix_Test, inverted)
|
|
{
|
|
double d1, d2;
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PIMathMatrix<double> matrix1(3, 3, 0.0);
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PIMathMatrix<double> matrix2(3, 3, 0.0);
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PIMathMatrix<double> matrix3(3, 3, 0.0);
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PIMathMatrix<double> matrix4(3, 3, 0.0);
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PIMathVector<double> vector;
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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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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 = matrix4.invert();
|
|
ASSERT_TRUE((matrix3 == matrix4) && (round((1/d1)*10000)/10000 == round(d2*10000)/10000));
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, transposed)
|
|
{
|
|
PIMathMatrix<double> origMatr;
|
|
double d1, d2;
|
|
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();
|
|
ASSERT_TRUE((d1 == d2) && (matrix1 == matrix3));
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, matrixMultiplication)
|
|
{
|
|
PIMathMatrix<double> matrix1(2, 2, 1.5);
|
|
PIMathMatrix<double> matrix2(2, 2, 2.5);
|
|
ASSERT_TRUE(cmpSquareMatrixWithValue(matrix1 * matrix2, 7.5, 2));
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, matrixAndVectorMultiplication)
|
|
{
|
|
PIMathMatrix<double> matrix1(2, 2, 1.5);
|
|
PIMathVector<double> vector;
|
|
vector.resize(2, 2.5);
|
|
for(uint i = 0; i < 2; i++) {
|
|
if((matrix1 * vector)[i] != 7.5) {
|
|
ASSERT_TRUE(false);
|
|
}
|
|
}
|
|
ASSERT_TRUE(true);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, vectorAndMatrixMultiplication)
|
|
{
|
|
PIMathMatrix<double> matrix1(2, 2, 1.5);
|
|
PIMathVector<double> vector;
|
|
vector.resize(2, 2.5);
|
|
for(uint i = 0; i < 2; i++) {
|
|
if((vector * matrix1)[i] != 7.5) {
|
|
ASSERT_TRUE(false);
|
|
}
|
|
}
|
|
ASSERT_TRUE(true);
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, valAndMatrixMultiplication)
|
|
{
|
|
PIMathMatrix<double> matrix1(3, 3, 1.5);
|
|
ASSERT_TRUE(cmpSquareMatrixWithValue(25.0*matrix1, 37.5, 3));
|
|
}
|
|
|
|
TEST(PIMathMatrix_Test, hermitian)
|
|
{
|
|
complex<double> val;
|
|
complex<double> res;
|
|
val.imag(1.0);
|
|
val.real(1.0);
|
|
PIMathMatrix<complex<double>> matrix(3, 3, val);
|
|
res.imag(-1.0);
|
|
res.real(1.0);
|
|
auto matr = hermitian(matrix);
|
|
for(uint i = 0; i < 3; i++) {
|
|
for(uint j = 0; j < 3; j++) {
|
|
if(matr.element(i, j) != res) {
|
|
ASSERT_TRUE(false);
|
|
}
|
|
}
|
|
}
|
|
ASSERT_TRUE(true);
|
|
}
|