Files
Aurora/test/FunctionTester.cpp

291 lines
14 KiB
C++
Raw Normal View History

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