Add prod, dot and their unit test.
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@@ -288,37 +288,67 @@ Matrix Aurora::max(const Matrix &aMatrix, FunctionDirection direction, long& row
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}
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Matrix Aurora::sum(const Matrix &aMatrix, FunctionDirection direction) {
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if (aMatrix.getDimSize(2)>1 || aMatrix.isComplex()) {
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std::cerr
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<< (aMatrix.getDimSize(2) > 1 ? "sum() not support 3D data!" : "sum() not support complex value type!")
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if (aMatrix.getDimSize(2)>1 ) {
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std::cerr<< "sum() not support 3D data!"
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<< std::endl;
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return Matrix();
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}
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switch (direction)
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{
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case All:
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if (aMatrix.isComplex()){
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switch (direction)
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{
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Eigen::Map<Eigen::VectorXd> srcV(aMatrix.getData(),aMatrix.getDataSize());
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double * ret = malloc(1);
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ret[0] = srcV.array().sum();
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return Matrix::New(ret,1);
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case All:
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{
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Eigen::Map<Eigen::VectorXcd> srcV((std::complex<double>*)aMatrix.getData(),aMatrix.getDataSize());
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std::complex<double>* ret = (std::complex<double>*)malloc(1,true);
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ret[0] = srcV.array().sum();
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return Matrix::New((double*)ret,1,1,1,Complex);
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}
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case Row:
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{
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Eigen::Map<Eigen::MatrixXcd> srcM((std::complex<double>*)aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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std::complex<double> * ret = (std::complex<double>*)malloc(aMatrix.getDimSize(0),true);
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Eigen::Map<Eigen::VectorXcd> retV(ret,aMatrix.getDimSize(0));
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retV = srcM.rowwise().sum();
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return Matrix::New((double*)ret,aMatrix.getDimSize(0),1,1,Complex);
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}
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case Column:
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default:
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{
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Eigen::Map<Eigen::MatrixXcd> srcM((std::complex<double>*)aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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std::complex<double>* ret = (std::complex<double>*)malloc(aMatrix.getDimSize(1),true);
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Eigen::Map<Eigen::VectorXcd> retV(ret,aMatrix.getDimSize(1));
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retV = srcM.colwise().sum();
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return Matrix::New((double*)ret,1,aMatrix.getDimSize(1),1,Complex);
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}
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}
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case Row:
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}
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else{
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switch (direction)
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{
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Eigen::Map<Eigen::MatrixXd> srcM(aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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double * ret = malloc(aMatrix.getDimSize(0));
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Eigen::Map<Eigen::VectorXd> retV(ret,aMatrix.getDimSize(0));
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retV = srcM.rowwise().sum();
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return Matrix::New(ret,aMatrix.getDimSize(0),1);
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}
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case Column:
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default:
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{
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Eigen::Map<Eigen::MatrixXd> srcM(aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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double * ret = malloc(aMatrix.getDimSize(1));
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Eigen::Map<Eigen::VectorXd> retV(ret,aMatrix.getDimSize(0));
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retV = srcM.colwise().sum();
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return Matrix::New(ret,1,aMatrix.getDimSize(1));
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case All:
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{
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Eigen::Map<Eigen::VectorXd> srcV(aMatrix.getData(),aMatrix.getDataSize());
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double * ret = malloc(1);
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ret[0] = srcV.array().sum();
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return Matrix::New(ret,1);
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}
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case Row:
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{
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Eigen::Map<Eigen::MatrixXd> srcM(aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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double * ret = malloc(aMatrix.getDimSize(0));
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Eigen::Map<Eigen::VectorXd> retV(ret,aMatrix.getDimSize(0));
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retV = srcM.rowwise().sum();
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return Matrix::New(ret,aMatrix.getDimSize(0),1);
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}
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case Column:
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default:
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{
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Eigen::Map<Eigen::MatrixXd> srcM(aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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double * ret = malloc(aMatrix.getDimSize(1));
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Eigen::Map<Eigen::VectorXd> retV(ret,aMatrix.getDimSize(0));
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retV = srcM.colwise().sum();
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return Matrix::New(ret,1,aMatrix.getDimSize(1));
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}
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}
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}
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}
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@@ -624,7 +654,7 @@ Matrix Aurora::ifft(const Matrix &aMatrix) {
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Matrix Aurora::hilbert(const Matrix &aMatrix) {
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auto x = fft(aMatrix);
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auto h = new double[aMatrix.getDimSize(0)];
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auto h = malloc(aMatrix.getDimSize(0));
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auto two = 2.0;
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auto zero = 0.0;
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cblas_dcopy(aMatrix.getDimSize(0), &zero, 0, h, 1);
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@@ -641,3 +671,60 @@ Matrix Aurora::hilbert(const Matrix &aMatrix) {
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return result;
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}
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Matrix Aurora::prod(const Matrix &aMatrix) {
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if (aMatrix.getDimSize(2) > 1 ) {
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std::cerr<< "prod() not support 3D data!"
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<< std::endl;
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return Matrix();
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}
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if (aMatrix.isComplex()){
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Eigen::Map<Eigen::MatrixXcd> srcM((std::complex<double>*)aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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auto ret = malloc(aMatrix.getDimSize(1),true);
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Eigen::Map<Eigen::VectorXcd> retV((std::complex<double>*)ret,aMatrix.getDimSize(1));
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retV = srcM.colwise().prod();
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return Matrix::New(ret,1,aMatrix.getDimSize(1),1,Complex);
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}
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else{
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Eigen::Map<Eigen::MatrixXd> srcM(aMatrix.getData(),aMatrix.getDimSize(0),aMatrix.getDimSize(1));
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auto ret = malloc(aMatrix.getDimSize(1));
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Eigen::Map<Eigen::VectorXd> retV(ret,aMatrix.getDimSize(1));
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retV = srcM.colwise().prod();
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return Matrix::New(ret,1,aMatrix.getDimSize(1));
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}
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}
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Matrix Aurora::dot(const Matrix &aMatrix,const Matrix& aOther,FunctionDirection direction ) {
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if ( direction == All){
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std::cerr<< "dot() not support 3D data!"
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<< std::endl;
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return Matrix();
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}
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if (!aMatrix.compareShape(aOther)){
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std::cerr<< "dot() matrix must be same shape!"
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<< std::endl;
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return Matrix();
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}
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if (aMatrix.isComplex()){
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return sum(conj(aMatrix)*aOther,direction);
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}
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else{
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if (direction == Column)
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{
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auto ret = malloc(aMatrix.getDimSize(1));
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for (int i = 0; i < aMatrix.getDimSize(1); ++i) {
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ret[i]=cblas_ddot(aMatrix.getDimSize(0),aMatrix.getData()+i*aMatrix.getDimSize(0),1,
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aOther.getData()+i*aMatrix.getDimSize(0),1);
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}
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return Matrix::New(ret,1,aMatrix.getDimSize(1),1);
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}
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else{
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auto ret = malloc(aMatrix.getDimSize(0));
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for (int i = 0; i < aMatrix.getDimSize(0); ++i) {
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ret[i] = cblas_ddot(aMatrix.getDimSize(1),aMatrix.getData()+i,aMatrix.getDimSize(0),
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aOther.getData()+i,aMatrix.getDimSize(0));
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}
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return Matrix::New(ret,aMatrix.getDimSize(1),1,1);
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}
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}
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}
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@@ -48,7 +48,7 @@ namespace Aurora {
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Matrix min(const Matrix& aMatrix,const Matrix& aOther);
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/**
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* 求矩阵和,可按行、列、单元, 目前不支持三维,不支持复数
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* 求矩阵和,可按行、列、单元, 目前不支持三维
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* @param aMatrix 目标矩阵
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* @param direction 方向,Column, Row, All
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* @return 求和结果矩阵
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@@ -120,6 +120,15 @@ namespace Aurora {
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* @return
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*/
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Matrix hilbert(const Matrix& aMatrix);
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/**
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* prod,支持到2维
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* @param aMatrix
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* @return
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*/
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Matrix prod(const Matrix& aMatrix);
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Matrix dot(const Matrix& aMatrix,const Matrix& aOther,FunctionDirection direction = Column);
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};
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@@ -342,6 +342,62 @@ TEST_F(Function2D_Test, hilbert) {
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EXPECT_DOUBLE_EQ(fourDecimalRound(result[11].imag()),0.3249);
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}
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TEST_F(Function2D_Test, prod) {
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double *dataB = new double[20]{1.1, 2.6, 3.8, 6.2,
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4.3, 5.7, 6.9, 10.6,
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7.1, 8.3, 9.7, 11.2,
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17.8, 13.3,26.5 , -7.7,
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9.9, 8.2, 6.3, 5.1};
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auto B = Aurora::Matrix::fromRawData(dataB, 4, 5);
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auto ret = Aurora::prod(B);
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EXPECT_EQ(1, ret.getDimSize(0));
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EXPECT_EQ(5, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(0.0067, fourDecimalRound(ret.getData()[0]/10000));
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EXPECT_DOUBLE_EQ(0.1793, fourDecimalRound(ret.getData()[1]/10000));
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EXPECT_DOUBLE_EQ(0.6402, fourDecimalRound(ret.getData()[2]/10000));
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EXPECT_DOUBLE_EQ(-4.8307, fourDecimalRound(ret.getData()[3]/10000));
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EXPECT_DOUBLE_EQ(0.2608, fourDecimalRound(ret.getData()[4]/10000));
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}
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TEST_F(Function2D_Test, dot) {
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{
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double *dataA = new double[8];
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double *dataB = new double[8];
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for (int i = 0; i < 8; ++i) {
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dataA[i] = (double) (i);
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dataB[i] = (double) (2);
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}
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Aurora::Matrix A = Aurora::Matrix::fromRawData(dataA, 4, 2);
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Aurora::Matrix B = Aurora::Matrix::fromRawData(dataB, 4, 2);
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auto C = Aurora::dot(A, B);
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EXPECT_EQ(1, C.getDimSize(0));
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EXPECT_EQ(2, C.getDimSize(1));
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EXPECT_DOUBLE_EQ(12, fourDecimalRound(C.getData()[0]));
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EXPECT_DOUBLE_EQ(44, fourDecimalRound(C.getData()[1]));
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}
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{
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double *dataB = new double[20]{1.1, 2.6, 3.8, 6.2,
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4.3, 5.7, 6.9, 10.6,
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7.1, 8.3, 9.7, 11.2,
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17.8, 13.3,26.5 , -7.7,
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9.9, 8.2, 6.3, 5.1};
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auto B = Aurora::Matrix::fromRawData(dataB, 4, 5);
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auto C = Aurora::dot(Aurora::fft(B),Aurora::fft(B));
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EXPECT_EQ(1, C.getDimSize(0));
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EXPECT_EQ(5, C.getDimSize(1));
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EXPECT_DOUBLE_EQ(0.2434, fourDecimalRound(C.getData()[0]/1000));
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EXPECT_DOUBLE_EQ(0., fourDecimalRound(C.getData()[1]/1000));
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EXPECT_DOUBLE_EQ(0.8438, fourDecimalRound(C.getData()[2]/1000));
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EXPECT_DOUBLE_EQ(0., fourDecimalRound(C.getData()[3]/1000));
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EXPECT_DOUBLE_EQ(1.3553, fourDecimalRound(C.getData()[4]/1000));
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EXPECT_DOUBLE_EQ(0., fourDecimalRound(C.getData()[5]/1000));
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EXPECT_DOUBLE_EQ(5.0211, fourDecimalRound(C.getData()[6]/1000));
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EXPECT_DOUBLE_EQ(0., fourDecimalRound(C.getData()[7]/1000));
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EXPECT_DOUBLE_EQ(0.9238, fourDecimalRound(C.getData()[8]/1000));
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EXPECT_DOUBLE_EQ(0., fourDecimalRound(C.getData()[9]/1000));
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}
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}
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TEST_F(Function2D_Test, interp2) {
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double* xD= new double[4]{1,2,3,4};
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Aurora::Matrix x(std::shared_ptr<double>(xD,std::default_delete<double[]>()),std::vector<int>{4});
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