#include #include #include "TestUtility.h" #include "Matrix.h" #include "Function.h" #include "Function1D.h" #include "Function2D.h" #include "Function3D.h" class Function2D_Test: public ::testing::Test{ protected: static void SetUpFunction2DTester(){ } static void TearDownTestCase(){ } void SetUp(){ } void TearDown(){ } }; TEST_F(Function2D_Test, immse){ 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(Function2D_Test, 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])); } TEST_F(Function2D_Test, std){ double *dataMA= new double [9]{1, 2, 3, 2, 2, 6, 3, 3, 6}; auto A = Aurora::Matrix::fromRawData(dataMA,3,3); auto D= Aurora::std(A); double* resultStd = D.getData(); EXPECT_DOUBLE_EQ(1.0, resultStd[0]); EXPECT_DOUBLE_EQ(2.3094, fourDecimalRound(resultStd[1])); EXPECT_DOUBLE_EQ(1.7321, fourDecimalRound(resultStd[2])); } TEST_F(Function2D_Test, min) { double *dataA = new double[3]{1, 2, 3}; double *dataB = new double[9]{2, 3, 3, 2, 2, -1, 3, 3, 3}; double *dataC = new double[1]{1.5}; auto A = Aurora::Matrix::fromRawData(dataA, 3, 1); auto B = Aurora::Matrix::fromRawData(dataB, 3, 3); auto C = Aurora::Matrix::fromRawData(dataC, 1); auto D = Aurora::Matrix::copyFromRawData(dataA, 1, 3); Aurora::Matrix ret = Aurora::min(B); EXPECT_EQ(1, ret.getDimSize(0)); EXPECT_EQ(3, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(2, ret.getData()[0]); EXPECT_DOUBLE_EQ(-1, ret.getData()[1]); EXPECT_DOUBLE_EQ(3, ret.getData()[2]); ret = Aurora::min(B, Aurora::All); EXPECT_DOUBLE_EQ(1, ret.getDataSize()); EXPECT_DOUBLE_EQ(-1, ret.getData()[0]); ret = Aurora::min(B, Aurora::Row); EXPECT_DOUBLE_EQ(3, ret.getDataSize()); EXPECT_EQ(3, ret.getDimSize(0)); EXPECT_EQ(1, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(2, ret.getData()[0]); EXPECT_DOUBLE_EQ(2, ret.getData()[1]); EXPECT_DOUBLE_EQ(-1, ret.getData()[2]); long r,c; ret = Aurora::min(A, Aurora::Column,r,c); EXPECT_DOUBLE_EQ(1, ret.getDataSize()); EXPECT_DOUBLE_EQ(1, ret.getData()[0]); EXPECT_EQ(0, r); EXPECT_EQ(0, c); ret = Aurora::min(A, C); EXPECT_DOUBLE_EQ(3, ret.getDataSize()); EXPECT_DOUBLE_EQ(1, ret.getData()[0]); EXPECT_DOUBLE_EQ(1.5, ret.getData()[1]); EXPECT_DOUBLE_EQ(1.5, ret.getData()[2]); ret = Aurora::min(B,D); EXPECT_DOUBLE_EQ(9, ret.getDataSize()); EXPECT_DOUBLE_EQ(1, ret.getData()[0]); EXPECT_DOUBLE_EQ(1, ret.getData()[1]); EXPECT_DOUBLE_EQ(1, ret.getData()[2]); } TEST_F(Function2D_Test, max) { double *dataA = new double[3]{1, 2, 3}; double *dataB = new double[9]{2, 3, 3, 2, 2, 1, 3, 3, 3}; auto A = Aurora::Matrix::fromRawData(dataA, 3, 1); auto B = Aurora::Matrix::fromRawData(dataB, 3, 3); Aurora::Matrix ret = Aurora::max(B); EXPECT_EQ(1, ret.getDimSize(0)); EXPECT_EQ(3, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(3, ret.getData()[0]); EXPECT_DOUBLE_EQ(2, ret.getData()[1]); EXPECT_DOUBLE_EQ(3, ret.getData()[2]); ret = Aurora::max(B, Aurora::All); EXPECT_DOUBLE_EQ(1, ret.getDataSize()); EXPECT_DOUBLE_EQ(3, ret.getData()[0]); ret = Aurora::max(B, Aurora::Row); EXPECT_DOUBLE_EQ(3, ret.getDataSize()); EXPECT_EQ(3, ret.getDimSize(0)); EXPECT_EQ(1, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(3, ret.getData()[0]); EXPECT_DOUBLE_EQ(3, ret.getData()[1]); EXPECT_DOUBLE_EQ(3, ret.getData()[2]); long r,c; ret = Aurora::max(A, Aurora::Column,r,c); EXPECT_DOUBLE_EQ(1, ret.getDataSize()); EXPECT_DOUBLE_EQ(3, ret.getData()[0]); EXPECT_EQ(2, r); EXPECT_EQ(0, c); } TEST_F(Function2D_Test, sum) { double *dataB = new double[9]{2, 3, 3, 2, 2, 1, 3, 3, -3}; auto B = Aurora::Matrix::fromRawData(dataB, 3, 3); Aurora::Matrix ret = Aurora::sum(B); EXPECT_EQ(1, ret.getDimSize(0)); EXPECT_EQ(3, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(8, ret.getData()[0]); EXPECT_DOUBLE_EQ(5, ret.getData()[1]); EXPECT_DOUBLE_EQ(3, ret.getData()[2]); ret = Aurora::sum(B, Aurora::All); EXPECT_DOUBLE_EQ(1, ret.getDataSize()); EXPECT_DOUBLE_EQ(16, ret.getData()[0]); ret = Aurora::sum(B, Aurora::Row); EXPECT_DOUBLE_EQ(3, ret.getDataSize()); EXPECT_EQ(3, ret.getDimSize(0)); EXPECT_EQ(1, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(7, ret.getData()[0]); EXPECT_DOUBLE_EQ(8, ret.getData()[1]); EXPECT_DOUBLE_EQ(1, ret.getData()[2]); } TEST_F(Function2D_Test, mean) { { double *dataB = new double[16]{1.1, 2.6, 3.8, 6.2, 4.3, 5.7, 6.9, 10.6, 7.1, 8.3, 9.7, 11.2, 17.8, 13.3, 26.5, -7.7}; auto B = Aurora::Matrix::fromRawData(dataB, 4, 4); auto r = Aurora::mean(B, Aurora::All); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_DOUBLE_EQ(7.9625, fourDecimalRound(r.getData()[0])); r = Aurora::mean(B); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(4, r.getDimSize(1)); EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1])); EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2])); EXPECT_DOUBLE_EQ(12.4750, fourDecimalRound(r.getData()[3])); r = Aurora::mean(B, Aurora::Row); EXPECT_EQ(4, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1])); EXPECT_DOUBLE_EQ(11.7250, fourDecimalRound(r.getData()[2])); EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3])); } //with nan { double tnan = std::nan(""); double *dataB = new double[16]{1.1, 2.6, 3.8, 6.2, 4.3, 5.7, 6.9, 10.6, 7.1, 8.3, 9.7, 11.2, 17.8, 13.3,tnan , -7.7}; auto B = Aurora::Matrix::fromRawData(dataB, 4, 4); auto r = Aurora::mean(B, Aurora::All); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_TRUE(std::isnan(r.getData()[0])); r = Aurora::mean(B); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(4, r.getDimSize(1)); EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1])); EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2])); EXPECT_TRUE(std::isnan(r.getData()[3])); r = Aurora::mean(B, Aurora::Row); EXPECT_EQ(4, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1])); EXPECT_TRUE(std::isnan(r.getData()[2])); EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3])); r = Aurora::mean(B, Aurora::All,false); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_DOUBLE_EQ(6.7267, fourDecimalRound(r.getData()[0])); r = Aurora::mean(B, Aurora::Column, false); EXPECT_EQ(1, r.getDimSize(0)); EXPECT_EQ(4, r.getDimSize(1)); EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1])); EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2])); EXPECT_DOUBLE_EQ(7.8, fourDecimalRound(r.getData()[3])); r = Aurora::mean(B, Aurora::Row, false); EXPECT_EQ(4, r.getDimSize(0)); EXPECT_EQ(1, r.getDimSize(1)); EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0])); EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1])); EXPECT_DOUBLE_EQ(6.8, fourDecimalRound(r.getData()[2])); EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3])); } } TEST_F(Function2D_Test, sort) { double *dataB = new double[16]{1.1, 2.6, 6.2, 3.8, 4.3, 10.6, 5.7, 6.9, 7.1, 8.3, 9.7, 11.2, 17.8, 13.3,7 , -7.7}; auto B = Aurora::Matrix::fromRawData(dataB, 4, 4); auto ret = Aurora::sort(B); EXPECT_EQ(4, ret.getDimSize(0)); EXPECT_EQ(4, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(3.8, ret.getData()[2]); EXPECT_DOUBLE_EQ(5.7, ret.getData()[5]); EXPECT_DOUBLE_EQ(-7.7, ret.getData()[12]); ret = Aurora::sort(B*5); EXPECT_EQ(4, ret.getDimSize(0)); EXPECT_EQ(4, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(19, ret.getData()[2]); EXPECT_DOUBLE_EQ(28.5, ret.getData()[5]); EXPECT_DOUBLE_EQ(-38.5, ret.getData()[12]); //big sort 10w以上多线程快 double * dataA = Aurora::random(1000000*4); auto A = Aurora::Matrix::New(dataA, 1000000, 4); ret = Aurora::sort(A); } TEST_F(Function2D_Test, sortrows) { double *dataB = new double[16]{1.1, 2.6, 6.2, 3.8, 4.3, 10.6, 5.7, 6.9, 7.1, 8.3, 9.7, 11.2, 17.8, 13.3,7 , -7.7}; auto B = Aurora::Matrix::fromRawData(dataB, 4, 4); auto ret = Aurora::sortrows(B); EXPECT_EQ(4, ret.getDimSize(0)); EXPECT_EQ(4, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(5.7, ret.getData()[2]); EXPECT_DOUBLE_EQ(8.3, ret.getData()[5]); EXPECT_DOUBLE_EQ(17.8, ret.getData()[12]); ret = Aurora::sortrows(B*5); EXPECT_EQ(4, ret.getDimSize(0)); EXPECT_EQ(4, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(28.5, ret.getData()[2]); EXPECT_DOUBLE_EQ(41.5, ret.getData()[5]); EXPECT_DOUBLE_EQ(89, ret.getData()[12]); //big sort 10w以上多线程快 double * dataA = Aurora::random(1000000*4); auto A = Aurora::Matrix::New(dataA, 4, 1000000); ret = Aurora::sortrows(A); } TEST_F(Function2D_Test, median) { double *dataB = new double[20]{1.1, 2.6, 3.8, 6.2, 4.3, 5.7, 6.9, 10.6, 7.1, 8.3, 9.7, 11.2, 17.8, 13.3,26.5 , -7.7, 9.9, 8.2, 6.3, 5.1}; auto B = Aurora::Matrix::fromRawData(dataB, 4, 5); auto ret = Aurora::median(B); EXPECT_EQ(1, ret.getDimSize(0)); EXPECT_EQ(5, ret.getDimSize(1)); EXPECT_DOUBLE_EQ(3.2, ret.getData()[0]); EXPECT_DOUBLE_EQ(6.3, ret.getData()[1]); EXPECT_DOUBLE_EQ(9, ret.getData()[2]); EXPECT_DOUBLE_EQ(15.55, ret.getData()[3]); EXPECT_DOUBLE_EQ(7.25, ret.getData()[4]); } TEST_F(Function2D_Test, fftAndComplexAndIfft){ double *input = new double[20]{1,1,0,2,2,0,1,1,0,2,1,1,0,2,2,0,1,1,0,2}; auto ma = Aurora::Matrix::fromRawData(input,10,2); auto ret = Aurora::fft(ma); std::complex* result = (std::complex*)ret.getData(); //检验fft结果与matlab是否对应 EXPECT_DOUBLE_EQ(0.0729, fourDecimalRound(result[1].real())); EXPECT_DOUBLE_EQ(2.4899, fourDecimalRound(result[2].imag())); EXPECT_DOUBLE_EQ(0.0729, fourDecimalRound(result[11].real())); EXPECT_DOUBLE_EQ(2.4899, fourDecimalRound(result[12].imag())); //检验fft的结果是否共轭 EXPECT_DOUBLE_EQ(0, result[4].imag()+result[6].imag()); EXPECT_DOUBLE_EQ(0, result[4].real()-result[6].real()); ret= Aurora::ifft(ret); std::complex* ifftResult = (std::complex*)ret.getData(); EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[1].real()),1.0); EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[3].real()),2.0); EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[11].real()),1.0); EXPECT_DOUBLE_EQ(fourDecimalRound(ifftResult[13].real()),2.0); } TEST_F(Function2D_Test, hilbert) { double *input = new double[20]{1,1,0,2,2,0,1,1,0,2,1,1,0,2,2,0,1,1,0,2}; auto ma = Aurora::Matrix::fromRawData(input,10,2); auto ret = Aurora::hilbert(ma); auto result = (std::complex*)ret.getData(); EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].real()),1.0); EXPECT_DOUBLE_EQ(fourDecimalRound(result[1].imag()),0.3249); EXPECT_DOUBLE_EQ(fourDecimalRound(result[11].real()),1.0); EXPECT_DOUBLE_EQ(fourDecimalRound(result[11].imag()),0.3249); } TEST_F(Function2D_Test, interp2) { double* xD= new double[4]{1,2,3,4}; Aurora::Matrix x(std::shared_ptr(xD,std::default_delete()),std::vector{4}); double* yD= new double[5]{1,4,9,16,25}; Aurora::Matrix y(std::shared_ptr(yD,std::default_delete()),std::vector{5}); double* x1D= new double[3]{1.22,2.69,3.84}; Aurora::Matrix x1(std::shared_ptr(x1D,std::default_delete()),std::vector{3}); double* y1D= new double[3]{4.5823,10.552,18}; Aurora::Matrix y1(std::shared_ptr(y1D,std::default_delete()),std::vector{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(vD,std::default_delete()),std::vector{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); }