2023-04-18 13:31:14 +08:00
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#include <gtest/gtest.h>
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2023-04-21 17:12:53 +08:00
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#include <vector>
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2023-04-18 13:31:14 +08:00
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#include "Matrix.h"
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#include "Function.h"
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2023-04-19 15:54:52 +08:00
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#include "Function1D.h"
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2023-04-21 17:04:09 +08:00
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#include "Function2D.h"
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2023-04-21 17:12:53 +08:00
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#include "Function3D.h"
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2023-04-18 13:31:14 +08:00
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class FunctionTester:public ::testing::Test{
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protected:
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static void SetUpFunctionTester(){
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}
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static void TearDownTestCase(){
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}
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void SetUp(){
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}
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void TearDown(){
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}
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};
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double fourDecimalRound(double src){
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return round(src*10000.0)/10000.0;
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}
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2023-04-21 17:12:53 +08:00
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#define EXPECT_DOUBLE_AE(valueA,valueB)\
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EXPECT_DOUBLE_EQ(fourDecimalRound(valueA),fourDecimalRound(valueB));
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2023-04-21 13:55:29 +08:00
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2023-04-19 15:54:52 +08:00
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TEST_F(FunctionTester, sign) {
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2023-04-20 11:53:34 +08:00
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double * dataA =Aurora::malloc(9);
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double * dataB =Aurora::malloc(9);
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2023-04-19 15:54:52 +08:00
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for (int i = 0; i < 9; ++i) {
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dataA[i]=(double)(i-3);
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dataB[i]=(double)(i+2);
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}
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Aurora::Matrix A = Aurora::Matrix::New(dataA,3,3);
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Aurora::Matrix B = Aurora::Matrix::New(dataB,3,3);
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2023-04-21 17:04:09 +08:00
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auto C = sign(A*B);
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double * result = C.getData();
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EXPECT_EQ(-1, result[0]);
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EXPECT_EQ(0, result[3]);
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EXPECT_EQ(1, result[4]);
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2023-04-19 15:54:52 +08:00
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}
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2023-04-18 13:31:14 +08:00
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TEST_F(FunctionTester, immse){
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2023-04-21 17:04:09 +08:00
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double *dataA = new double[9]{1,2,3,4,5,6,7,8,9};
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double *dataB = new double[9]{10,20,30,40,50,40,30,20,10};
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Aurora::Matrix A = Aurora::Matrix::fromRawData(dataA,3,3);
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Aurora::Matrix B = Aurora::Matrix::fromRawData(dataB,3,3);
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double v = immse(A,B);
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EXPECT_DOUBLE_EQ(fourDecimalRound(v),698.3333)<<" immse error;";
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}
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TEST_F(FunctionTester, inv){
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//默认是column major排布数据
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double *dataA=new double[9]{2, 0, 2, 2, 3, 0, 3, 3, 3};
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double *dataB=new double[9]{1, 1, 1, 1, 1, 1, 1, 1, 1};
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Aurora::Matrix A = Aurora::Matrix::fromRawData(dataA,3,3);
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Aurora::Matrix B = Aurora::Matrix::fromRawData(dataB,3,3);
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auto invA = Aurora::inv(A);
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double* result = invA.getData();
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EXPECT_DOUBLE_EQ(0.75, fourDecimalRound(result[0]));
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EXPECT_DOUBLE_EQ(0.5, fourDecimalRound(result[1]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[2]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[3]));
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EXPECT_DOUBLE_EQ(.0, fourDecimalRound(result[4]));
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EXPECT_DOUBLE_EQ(0.3333, fourDecimalRound(result[5]));
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EXPECT_DOUBLE_EQ(-0.25, fourDecimalRound(result[6]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[7]));
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EXPECT_DOUBLE_EQ(0.5, fourDecimalRound(result[8]));
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invA = Aurora::inv(A*B);
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result = invA.getData();
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EXPECT_DOUBLE_EQ(0.75, fourDecimalRound(result[0]));
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EXPECT_DOUBLE_EQ(0.5, fourDecimalRound(result[1]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[2]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[3]));
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EXPECT_DOUBLE_EQ(.0, fourDecimalRound(result[4]));
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EXPECT_DOUBLE_EQ(0.3333, fourDecimalRound(result[5]));
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EXPECT_DOUBLE_EQ(-0.25, fourDecimalRound(result[6]));
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EXPECT_DOUBLE_EQ(-0.5, fourDecimalRound(result[7]));
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EXPECT_DOUBLE_EQ(0.5, fourDecimalRound(result[8]));
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2023-04-18 13:31:14 +08:00
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}
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TEST_F(FunctionTester, polyval){
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double dataP[3]={3,2,1};
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double dataX[3]={5,7,9};
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double*resultP = Aurora::polyval(dataX,dataP,3);
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EXPECT_DOUBLE_EQ(86., resultP[0])<<" polyval error;";
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EXPECT_DOUBLE_EQ(162., resultP[1])<<" polyval error;";
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EXPECT_DOUBLE_EQ(262., resultP[2])<<" polyval error;";
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delete [] resultP;
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}
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TEST_F(FunctionTester, std){
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double dataMA[9]={1, 2, 3, 2, 2, 6, 3, 3, 6};
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double* resultStd = Aurora::std(3, 3, dataMA);
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EXPECT_DOUBLE_EQ(1.0, resultStd[0])<<" std error index 0";
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EXPECT_DOUBLE_EQ(2.3094, fourDecimalRound(resultStd[1]))<<" std error index 1";
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EXPECT_DOUBLE_EQ(1.7321, fourDecimalRound(resultStd[2]))<<" std error index 2";
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delete [] resultStd;
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}
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TEST_F(FunctionTester, fftAndComplexAndIfft){
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2023-04-21 17:25:22 +08:00
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// double input[10]{1,1,0,2,2,0,1,1,0,2};
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// std::complex<double>* complexInput = Aurora::complex(10,input);
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// //复数化后,实部不变,虚部全为0
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// EXPECT_DOUBLE_EQ(complexInput[1].real(),1.0)<<" complex error";
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// EXPECT_DOUBLE_EQ(complexInput[1].imag(),0)<<" complex error";
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// std::complex<double>* result = Aurora::fft(10,complexInput);
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// delete [] complexInput;
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// //检验fft结果与matlab是否对应
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// EXPECT_DOUBLE_EQ(0.0729, fourDecimalRound(result[1].real()))<<" fft result value error";
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// EXPECT_DOUBLE_EQ(2.4899, fourDecimalRound(result[2].imag()))<<" fft result value error";
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// //检验fft的结果是否共轭
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// EXPECT_DOUBLE_EQ(0, result[4].imag()+result[6].imag())<<" fft result conjugate error";
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// EXPECT_DOUBLE_EQ(0, result[4].real()-result[6].real())<<" fft result conjugate error";
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// std::complex<double>* ifftResult = Aurora::ifft(10,result);
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// EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[1].real()),1.0)<<" ifft result real value error";
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// EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[1].imag()),0)<<" ifft result imag value error";
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// delete [] result;
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// delete [] ifftResult;
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}
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TEST_F(FunctionTester, hilbert) {
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double input[10]{1,1,0,2,2,0,1,1,0,2};
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auto result = Aurora::hilbert(10,input);
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EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].real()),1.0)<<" hilbert result real value error";
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EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].imag()),0.3249)<<" hilbert result imag value error";
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delete [] result;
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result = Aurora::hilbert(9,input);
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EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].real()),1.0)<<" hilbert result real value error";
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EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].imag()),0.4253)<<" hilbert result imag value error";
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}
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2023-04-21 17:12:53 +08:00
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TEST_F(FunctionTester, repmat) {
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//input 1D repmat 2D
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double* input = new double[10]{1,2,3,4,5,6,7,8,9,10};
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Aurora::Matrix m(std::shared_ptr<double>(input,std::default_delete<double[]>()),std::vector<int>{10});
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EXPECT_DOUBLE_EQ(repmat(m,1,1).getData()[7],8);
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EXPECT_DOUBLE_EQ(repmat(m,2,3).getDataSize(),60);
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EXPECT_DOUBLE_EQ(repmat(m,2,3).getData()[22],3);
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EXPECT_DOUBLE_EQ(repmat(m,2,3).getDimSize(0),20);
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EXPECT_DOUBLE_EQ(repmat(m,2,3).getDimSize(1),3);
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EXPECT_DOUBLE_EQ(repmat(m,2,3).getDimSize(2),1);
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//input 2D repmat 2D
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double* input2 = new double[10]{1,2,3,4,5,6,7,8,9,10};
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Aurora::Matrix m2(std::shared_ptr<double>(input2,std::default_delete<double[]>()),std::vector<int>{5,2});
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EXPECT_DOUBLE_EQ(repmat(m2,1,1).getData()[7],8);
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EXPECT_DOUBLE_EQ(repmat(m2,2,3).getDataSize(),60);
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EXPECT_DOUBLE_EQ(repmat(m2,2,3).getData()[22],3);
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EXPECT_DOUBLE_EQ(repmat(m2,2,3).getDimSize(0),10);
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EXPECT_DOUBLE_EQ(repmat(m2,2,3).getDimSize(1),6);
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EXPECT_DOUBLE_EQ(repmat(m2,2,3).getDimSize(2),1);
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//input 1D repmat 3D
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double* input3 = new double[10]{1,2,3,4,5,6,7,8,9,10};
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Aurora::Matrix m3(std::shared_ptr<double>(input3,std::default_delete<double[]>()),std::vector<int>{10});
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EXPECT_DOUBLE_EQ(repmat(m3,1,1,1).getData()[7],8);
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EXPECT_DOUBLE_EQ(repmat(m3,2,3,4).getDataSize(),240);
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EXPECT_DOUBLE_EQ(repmat(m3,2,3,4).getData()[22],3);
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EXPECT_DOUBLE_EQ(repmat(m3,2,3,4).getDimSize(0),20);
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EXPECT_DOUBLE_EQ(repmat(m3,2,3,4).getDimSize(1),3);
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EXPECT_DOUBLE_EQ(repmat(m3,2,3,4).getDimSize(2),4);
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//input 2D repmat 3D
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double* input4 = new double[10]{1,2,3,4,5,6,7,8,9,10};
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Aurora::Matrix m4(std::shared_ptr<double>(input4,std::default_delete<double[]>()),std::vector<int>{5,2});
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EXPECT_DOUBLE_EQ(repmat(m4,1,1).getData()[7],8);
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EXPECT_DOUBLE_EQ(repmat(m4,2,3,4).getDataSize(),240);
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EXPECT_DOUBLE_EQ(repmat(m4,2,3,4).getData()[22],3);
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EXPECT_DOUBLE_EQ(repmat(m4,2,3,4).getDimSize(0),10);
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EXPECT_DOUBLE_EQ(repmat(m4,2,3,4).getDimSize(1),6);
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EXPECT_DOUBLE_EQ(repmat(m4,2,3,4).getDimSize(2),4);
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}
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TEST_F(FunctionTester, interp1) {
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double* xD= new double[5]{1,2,3,4,5};
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Aurora::Matrix x(std::shared_ptr<double>(xD,std::default_delete<double[]>()),std::vector<int>{5});
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double* yD= new double[5]{1,4,9,16,25};
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Aurora::Matrix y(std::shared_ptr<double>(yD,std::default_delete<double[]>()),std::vector<int>{5});
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double* x1D= new double[3]{1.22,2.69,3.84};
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Aurora::Matrix x1(std::shared_ptr<double>(x1D,std::default_delete<double[]>()),std::vector<int>{3});
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Aurora::Matrix result = interp1(x,y,x1,Aurora::InterpnMethod::Spline);
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EXPECT_DOUBLE_EQ(result.getData()[0],1.4884);
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EXPECT_DOUBLE_EQ(result.getData()[1],7.2361);
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EXPECT_DOUBLE_EQ(result.getData()[2],14.7456);
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result = interp1(x,y,x1,Aurora::InterpnMethod::Linear);
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EXPECT_DOUBLE_EQ(result.getData()[0],1.66);
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EXPECT_DOUBLE_EQ(result.getData()[1],7.45);
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EXPECT_DOUBLE_EQ(result.getData()[2],14.88);
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}
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TEST_F(FunctionTester, 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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double* yD= new double[5]{1,4,9,16,25};
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Aurora::Matrix y(std::shared_ptr<double>(yD,std::default_delete<double[]>()),std::vector<int>{5});
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double* x1D= new double[3]{1.22,2.69,3.84};
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Aurora::Matrix x1(std::shared_ptr<double>(x1D,std::default_delete<double[]>()),std::vector<int>{3});
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double* y1D= new double[3]{4.5823,10.552,18};
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Aurora::Matrix y1(std::shared_ptr<double>(y1D,std::default_delete<double[]>()),std::vector<int>{3});
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double* vD= new double[20]{158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25};
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Aurora::Matrix v(std::shared_ptr<double>(vD,std::default_delete<double[]>()),std::vector<int>{5,4});
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Aurora::Matrix result = interp2(x,y,v,x1,y1,Aurora::InterpnMethod::Spline);
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EXPECT_DOUBLE_AE(result.getData()[0],303.5663);
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EXPECT_DOUBLE_AE(result.getData()[1],243.6711);
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EXPECT_DOUBLE_AE(result.getData()[2],-47.32);
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result = interp2(x,y,v,x1,y1,Aurora::InterpnMethod::Linear);
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EXPECT_DOUBLE_AE(result.getData()[0],302.6298);
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EXPECT_DOUBLE_AE(result.getData()[1],261.1313);
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EXPECT_DOUBLE_AE(result.getData()[2],18.6089);
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}
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TEST_F(FunctionTester, interp3) {
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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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double* yD= new double[5]{1,4,9,16,25};
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Aurora::Matrix y(std::shared_ptr<double>(yD,std::default_delete<double[]>()),std::vector<int>{5});
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double* zD= new double[3]{22,33,56};
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Aurora::Matrix z(std::shared_ptr<double>(zD,std::default_delete<double[]>()),std::vector<int>{3});
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double* x1D= new double[3]{1.22,2.69,3.84};
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Aurora::Matrix x1(std::shared_ptr<double>(x1D,std::default_delete<double[]>()),std::vector<int>{3});
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double* y1D= new double[3]{4.5823,10.552,18};
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Aurora::Matrix y1(std::shared_ptr<double>(y1D,std::default_delete<double[]>()),std::vector<int>{3});
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double* z1D= new double[3]{22.256,40.22,48};
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Aurora::Matrix z1(std::shared_ptr<double>(z1D,std::default_delete<double[]>()),std::vector<int>{3});
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double* vD= new double[60]{158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25,
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158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25,
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158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25};
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Aurora::Matrix v(std::shared_ptr<double>(vD,std::default_delete<double[]>()),std::vector<int>{5,4,3});
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Aurora::Matrix result = interp3(x,y,z,v,x1,y1,z1,Aurora::InterpnMethod::Spline);
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EXPECT_DOUBLE_AE(result.getData()[0],303.5663);
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EXPECT_DOUBLE_AE(result.getData()[1],243.6711);
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EXPECT_DOUBLE_AE(result.getData()[2],-47.32);
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result = interp3(x,y,z,v,x1,y1,z1,Aurora::InterpnMethod::Linear);
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EXPECT_DOUBLE_AE(result.getData()[0],302.6298);
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EXPECT_DOUBLE_AE(result.getData()[1],261.1313);
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EXPECT_DOUBLE_AE(result.getData()[2],18.6089);
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}
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TEST_F(FunctionTester, interpn) {
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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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double* yD= new double[5]{1,4,9,16,25};
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Aurora::Matrix y(std::shared_ptr<double>(yD,std::default_delete<double[]>()),std::vector<int>{5});
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double* zD= new double[3]{22,33,56};
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Aurora::Matrix z(std::shared_ptr<double>(zD,std::default_delete<double[]>()),std::vector<int>{3});
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double* x1D= new double[3]{1.22,2.69,3.84};
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Aurora::Matrix x1(std::shared_ptr<double>(x1D,std::default_delete<double[]>()),std::vector<int>{3});
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|
double* y1D= new double[3]{2.5823,3.552,3.888};
|
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Aurora::Matrix y1(std::shared_ptr<double>(y1D,std::default_delete<double[]>()),std::vector<int>{3});
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|
double* z1D= new double[3]{22.256,40.22,48};
|
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Aurora::Matrix z1(std::shared_ptr<double>(z1D,std::default_delete<double[]>()),std::vector<int>{3});
|
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|
double* v2D= new double[20]{158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25};
|
|
|
|
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|
Aurora::Matrix v2(std::shared_ptr<double>(v2D,std::default_delete<double[]>()),std::vector<int>{5,4});
|
|
|
|
|
|
double* v3D= new double[60]{158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25,
|
|
|
|
|
|
158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25,
|
|
|
|
|
|
158,256,332,428,22,56,487,54,26,333,541,554,445,48,22,54,36,98,11,25};
|
|
|
|
|
|
Aurora::Matrix v3(std::shared_ptr<double>(v3D,std::default_delete<double[]>()),std::vector<int>{5,4,3});
|
|
|
|
|
|
|
|
|
|
|
|
Aurora::Matrix result = interpn(y,x,v2,x1,y1,Aurora::InterpnMethod::Spline);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[0],399.2742);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[1],387.7651);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[2],135.6138);
|
|
|
|
|
|
|
|
|
|
|
|
result = interpn(y,x,v2,x1,y1,Aurora::InterpnMethod::Linear);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[0],352.1727);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[1],269.8596);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[2],94.7908);
|
|
|
|
|
|
|
|
|
|
|
|
result = interpn(y,x,z,v3,x1,y1,z1,Aurora::InterpnMethod::Spline);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[0],399.2742);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[1],387.7651);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[2],135.6138);
|
|
|
|
|
|
|
|
|
|
|
|
result = interpn(y,x,z,v3,x1,y1,z1,Aurora::InterpnMethod::Linear);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[0],352.1727);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[1],269.8596);
|
|
|
|
|
|
EXPECT_DOUBLE_AE(result.getData()[2],94.7908);
|
|
|
|
|
|
}
|
|
|
|
|
|
|