303 lines
13 KiB
C++
303 lines
13 KiB
C++
#include <gtest/gtest.h>
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#include <vector>
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#include "TestUtility.h"
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#include "Matrix.h"
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#include "Function.h"
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#include "Function1D.h"
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#include "Function2D.h"
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#include "Function3D.h"
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class Function2D_Test: public ::testing::Test{
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protected:
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static void SetUpFunction2DTester(){
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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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TEST_F(Function2D_Test, immse){
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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(Function2D_Test, 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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}
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TEST_F(Function2D_Test, std){
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double *dataMA= new double [9]{1, 2, 3, 2, 2, 6, 3, 3, 6};
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auto A = Aurora::Matrix::fromRawData(dataMA,3,3);
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auto D= Aurora::std(A);
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double* resultStd = D.getData();
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EXPECT_DOUBLE_EQ(1.0, resultStd[0]);
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EXPECT_DOUBLE_EQ(2.3094, fourDecimalRound(resultStd[1]));
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EXPECT_DOUBLE_EQ(1.7321, fourDecimalRound(resultStd[2]));
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}
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TEST_F(Function2D_Test, min) {
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double *dataA = new double[3]{1, 2, 3};
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double *dataB = new double[9]{2, 3, 3, 2, 2, -1, 3, 3, 3};
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double *dataC = new double[1]{1.5};
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auto A = Aurora::Matrix::fromRawData(dataA, 3, 1);
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auto B = Aurora::Matrix::fromRawData(dataB, 3, 3);
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auto C = Aurora::Matrix::fromRawData(dataC, 1);
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auto D = Aurora::Matrix::copyFromRawData(dataA, 1, 3);
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Aurora::Matrix ret = Aurora::min(B);
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EXPECT_EQ(1, ret.getDimSize(0));
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EXPECT_EQ(3, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(2, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(-1, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(3, ret.getData()[2]);
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ret = Aurora::min(B, Aurora::All);
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EXPECT_DOUBLE_EQ(1, ret.getDataSize());
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EXPECT_DOUBLE_EQ(-1, ret.getData()[0]);
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ret = Aurora::min(B, Aurora::Row);
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EXPECT_DOUBLE_EQ(3, ret.getDataSize());
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EXPECT_EQ(3, ret.getDimSize(0));
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EXPECT_EQ(1, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(2, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(2, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(-1, ret.getData()[2]);
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long r,c;
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ret = Aurora::min(A, Aurora::Column,r,c);
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EXPECT_DOUBLE_EQ(1, ret.getDataSize());
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EXPECT_DOUBLE_EQ(1, ret.getData()[0]);
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EXPECT_EQ(0, r);
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EXPECT_EQ(0, c);
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ret = Aurora::min(A, C);
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EXPECT_DOUBLE_EQ(3, ret.getDataSize());
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EXPECT_DOUBLE_EQ(1, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(1.5, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(1.5, ret.getData()[2]);
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ret = Aurora::min(B,D);
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EXPECT_DOUBLE_EQ(9, ret.getDataSize());
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EXPECT_DOUBLE_EQ(1, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(1, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(1, ret.getData()[2]);
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}
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TEST_F(Function2D_Test, max) {
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double *dataA = new double[3]{1, 2, 3};
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double *dataB = new double[9]{2, 3, 3, 2, 2, 1, 3, 3, 3};
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auto A = Aurora::Matrix::fromRawData(dataA, 3, 1);
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auto B = Aurora::Matrix::fromRawData(dataB, 3, 3);
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Aurora::Matrix ret = Aurora::max(B);
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EXPECT_EQ(1, ret.getDimSize(0));
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EXPECT_EQ(3, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(3, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(2, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(3, ret.getData()[2]);
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ret = Aurora::max(B, Aurora::All);
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EXPECT_DOUBLE_EQ(1, ret.getDataSize());
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EXPECT_DOUBLE_EQ(3, ret.getData()[0]);
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ret = Aurora::max(B, Aurora::Row);
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EXPECT_DOUBLE_EQ(3, ret.getDataSize());
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EXPECT_EQ(3, ret.getDimSize(0));
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EXPECT_EQ(1, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(3, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(3, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(3, ret.getData()[2]);
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long r,c;
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ret = Aurora::max(A, Aurora::Column,r,c);
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EXPECT_DOUBLE_EQ(1, ret.getDataSize());
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EXPECT_DOUBLE_EQ(3, ret.getData()[0]);
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EXPECT_EQ(2, r);
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EXPECT_EQ(0, c);
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}
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TEST_F(Function2D_Test, sum) {
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double *dataB = new double[9]{2, 3, 3, 2, 2, 1, 3, 3, -3};
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auto B = Aurora::Matrix::fromRawData(dataB, 3, 3);
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Aurora::Matrix ret = Aurora::sum(B);
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EXPECT_EQ(1, ret.getDimSize(0));
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EXPECT_EQ(3, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(8, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(5, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(3, ret.getData()[2]);
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ret = Aurora::sum(B, Aurora::All);
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EXPECT_DOUBLE_EQ(1, ret.getDataSize());
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EXPECT_DOUBLE_EQ(16, ret.getData()[0]);
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ret = Aurora::sum(B, Aurora::Row);
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EXPECT_DOUBLE_EQ(3, ret.getDataSize());
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EXPECT_EQ(3, ret.getDimSize(0));
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EXPECT_EQ(1, ret.getDimSize(1));
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EXPECT_DOUBLE_EQ(7, ret.getData()[0]);
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EXPECT_DOUBLE_EQ(8, ret.getData()[1]);
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EXPECT_DOUBLE_EQ(1, ret.getData()[2]);
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}
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TEST_F(Function2D_Test, mean) {
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{
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double *dataB = new double[16]{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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auto B = Aurora::Matrix::fromRawData(dataB, 4, 4);
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auto r = Aurora::mean(B, Aurora::All);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(7.9625, fourDecimalRound(r.getData()[0]));
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r = Aurora::mean(B);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(4, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1]));
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EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2]));
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EXPECT_DOUBLE_EQ(12.4750, fourDecimalRound(r.getData()[3]));
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r = Aurora::mean(B, Aurora::Row);
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EXPECT_EQ(4, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1]));
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EXPECT_DOUBLE_EQ(11.7250, fourDecimalRound(r.getData()[2]));
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EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3]));
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}
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//with nan
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{
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double tnan = std::nan("");
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double *dataB = new double[16]{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,tnan , -7.7};
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auto B = Aurora::Matrix::fromRawData(dataB, 4, 4);
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auto r = Aurora::mean(B, Aurora::All);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_TRUE(std::isnan(r.getData()[0]));
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r = Aurora::mean(B);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(4, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1]));
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EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2]));
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EXPECT_TRUE(std::isnan(r.getData()[3]));
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r = Aurora::mean(B, Aurora::Row);
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EXPECT_EQ(4, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1]));
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EXPECT_TRUE(std::isnan(r.getData()[2]));
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EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3]));
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r = Aurora::mean(B, Aurora::All,false);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(6.7267, fourDecimalRound(r.getData()[0]));
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r = Aurora::mean(B, Aurora::Column, false);
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EXPECT_EQ(1, r.getDimSize(0));
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EXPECT_EQ(4, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(3.4250, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(6.8750, fourDecimalRound(r.getData()[1]));
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EXPECT_DOUBLE_EQ(9.0750, fourDecimalRound(r.getData()[2]));
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EXPECT_DOUBLE_EQ(7.8, fourDecimalRound(r.getData()[3]));
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r = Aurora::mean(B, Aurora::Row, false);
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EXPECT_EQ(4, r.getDimSize(0));
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EXPECT_EQ(1, r.getDimSize(1));
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EXPECT_DOUBLE_EQ(7.5750, fourDecimalRound(r.getData()[0]));
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EXPECT_DOUBLE_EQ(7.4750, fourDecimalRound(r.getData()[1]));
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EXPECT_DOUBLE_EQ(6.8, fourDecimalRound(r.getData()[2]));
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EXPECT_DOUBLE_EQ(5.0750, fourDecimalRound(r.getData()[3]));
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}
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}
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TEST_F(Function2D_Test, fftAndComplexAndIfft){
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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(Function2D_Test, 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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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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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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