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/*
* Copyright (c) 2020, Peter Abeles. All Rights Reserved.
*
* This file is part of Efficient Java Matrix Library (EJML).
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.ejml.sparse.csc;
import org.ejml.UtilEjml;
import org.ejml.data.DMatrixRMaj;
import org.ejml.data.DMatrixSparseCSC;
import org.ejml.data.DMatrixSparseTriplet;
import org.ejml.dense.row.CommonOps_DDRM;
import org.ejml.dense.row.RandomMatrices_DDRM;
import org.ejml.ops.DConvertMatrixStruct;
import org.junit.jupiter.api.Test;
import java.util.Random;
import static org.junit.jupiter.api.Assertions.*;
/**
* @author Peter Abeles
*/
public class TestMatrixFeatures_DSCC {
Random rand = new Random(234);
@Test
public void isEquals() {
DMatrixSparseTriplet orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,4,2.7);
orig.addItem(2,2,1.5);
DMatrixSparseCSC a = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
DMatrixSparseCSC b = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
a.sortIndices(null); b.sortIndices(null);
assertTrue(MatrixFeatures_DSCC.isEquals(a,b));
b.numRows += 1;
assertFalse(MatrixFeatures_DSCC.isEquals(a,b));
b.numRows -= 1; b.numCols += 1;
assertFalse(MatrixFeatures_DSCC.isEquals(a,b));
b.numCols -= 1; b.nz_rows[1]++;
assertFalse(MatrixFeatures_DSCC.isEquals(a,b));
b.nz_rows[1]--; b.col_idx[1]++;
assertFalse(MatrixFeatures_DSCC.isEquals(a,b));
b.col_idx[1]--;
// make it no longer exactly equal
b.nz_values[0] += UtilEjml.TEST_F64*0.1;
assertFalse(MatrixFeatures_DSCC.isEquals(a,b));
}
@Test
public void isEqualsSort_tol() {
DMatrixSparseTriplet orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,4,2.7);
orig.addItem(2,2,1.5);
DMatrixSparseCSC a = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,2,1.5);
orig.addItem(2,4,2.7);
DMatrixSparseCSC b = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
// these require sorting and this will fail if not
assertTrue(MatrixFeatures_DSCC.isEqualsSort(a,b, UtilEjml.TEST_F64));
}
@Test
public void isIdenticalSort_tol() {
DMatrixSparseTriplet orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,4,2.7);
orig.addItem(2,2,1.5);
DMatrixSparseCSC a = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,2,1.5);
orig.addItem(2,4,2.7);
DMatrixSparseCSC b = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
// these require sorting and this will fail if not
assertTrue(MatrixFeatures_DSCC.isIdenticalSort(a,b, UtilEjml.TEST_F64));
double values[] = new double[]{1.0,Double.NaN,Double.POSITIVE_INFINITY,Double.NEGATIVE_INFINITY};
for( int i = 0; i < values.length; i++ ) {
for( int j = 0; j < values.length; j++ ) {
a.set(2,2,values[i]);
b.set(2,2,values[j]);
assertEquals(i==j,MatrixFeatures_DSCC.isIdenticalSort(a,b, UtilEjml.TEST_F64));
}
}
}
@Test
public void isEquals_tol() {
DMatrixSparseTriplet orig = new DMatrixSparseTriplet(4,5,3);
orig.addItem(3,1,2.5);
orig.addItem(2,4,2.7);
orig.addItem(2,2,1.5);
DMatrixSparseCSC a = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
DMatrixSparseCSC b = DConvertMatrixStruct.convert(orig,(DMatrixSparseCSC)null);
assertTrue(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
b.numRows += 1;
assertFalse(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
b.numRows -= 1; b.numCols += 1;
assertFalse(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
b.numCols -= 1; b.nz_rows[1]++;
assertFalse(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
b.nz_rows[1]--; b.col_idx[1]++;
assertFalse(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
b.col_idx[1]--;
// make it no longer exactly equal, but within tolerance
b.nz_values[0] += UtilEjml.TEST_F64*0.1;
assertTrue(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
// outside of tolerance
b.nz_values[0] += UtilEjml.TEST_F64*10;
assertFalse(MatrixFeatures_DSCC.isEqualsSort(a,b,UtilEjml.TEST_F64));
}
@Test
public void hasUncountable() {
for( int length : new int[]{0,2,6,15,30} ) {
DMatrixSparseCSC A = RandomMatrices_DSCC.rectangle(6,6,length,rand);
assertFalse(MatrixFeatures_DSCC.hasUncountable(A));
if( length == 0 )
continue;
int selected = rand.nextInt(length);
A.nz_values[selected] = Double.NaN;
assertTrue(MatrixFeatures_DSCC.hasUncountable(A));
A.nz_values[selected] = Double.POSITIVE_INFINITY;
assertTrue(MatrixFeatures_DSCC.hasUncountable(A));
A.nz_values[selected] = Double.NEGATIVE_INFINITY;
assertTrue(MatrixFeatures_DSCC.hasUncountable(A));
}
}
@Test
public void isZeros() {
assertTrue( MatrixFeatures_DSCC.isZeros(new DMatrixSparseCSC(10,12,0), UtilEjml.TEST_F64));
DMatrixSparseCSC A = RandomMatrices_DSCC.rectangle(6,4,12,rand);
for (int i = 0; i < A.nz_length; i++) {
A.nz_values[i] = UtilEjml.EPS;
}
assertTrue( MatrixFeatures_DSCC.isZeros(A, UtilEjml.TEST_F64));
}
@Test
public void isIdentity() {
for( int length : new int[]{1,2,6,15,30} ) {
DMatrixSparseCSC A = CommonOps_DSCC.identity(length);
assertTrue(MatrixFeatures_DSCC.isIdentity(A, UtilEjml.TEST_F64));
A.nz_values[0] = 1 + 2.0*UtilEjml.EPS;
assertTrue(MatrixFeatures_DSCC.isIdentity(A, UtilEjml.TEST_F64));
A.nz_values[0] = 1.1;
assertFalse(MatrixFeatures_DSCC.isIdentity(A, UtilEjml.TEST_F64));
}
}
@Test
public void isLowerTriangle() {
// normal triangular matrix
DMatrixRMaj D = new DMatrixRMaj(4,4,true,
1,0,0,0, 1,1,0,0, 0,0,1,0 , 1,0,1,1 );
DMatrixSparseCSC L = DConvertMatrixStruct.convert(D,(DMatrixSparseCSC)null, UtilEjml.EPS);
assertTrue(MatrixFeatures_DSCC.isLowerTriangle(L,0, UtilEjml.TEST_F64));
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,1, UtilEjml.TEST_F64));
L.nz_values[L.nz_length -1] = UtilEjml.EPS;
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,0, UtilEjml.TEST_F64));
// Hessenberg matrix of degree 1
D = new DMatrixRMaj(4,4,true,
1,1,0,0, 1,1,1,0, 0,0,0,1 , 1,0,1,1 );
L = DConvertMatrixStruct.convert(D,(DMatrixSparseCSC)null, UtilEjml.EPS);
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,0, UtilEjml.TEST_F64));
assertTrue(MatrixFeatures_DSCC.isLowerTriangle(L,1, UtilEjml.TEST_F64));
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,2, UtilEjml.TEST_F64));
L.set(0,1,UtilEjml.EPS);
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,1, UtilEjml.TEST_F64));
// testing a case which failed. first column was all zeros for hessenberg of 1
D = new DMatrixRMaj(4,4,true,
0,1,0,0, 0,0,1,0, 0,0,0,1 , 0,0,0,1 );
L = DConvertMatrixStruct.convert(D,(DMatrixSparseCSC)null, UtilEjml.EPS);
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,0, UtilEjml.TEST_F64));
assertTrue(MatrixFeatures_DSCC.isLowerTriangle(L,1, UtilEjml.TEST_F64));
assertFalse(MatrixFeatures_DSCC.isLowerTriangle(L,2, UtilEjml.TEST_F64));
L.set(0,1,1);
assertTrue(MatrixFeatures_DSCC.isLowerTriangle(L,1, UtilEjml.TEST_F64));
}
@Test
public void isTranspose() {
// do it first in dense matrices
DMatrixRMaj Ad = RandomMatrices_DDRM.rectangle(5,4,-1,1,rand);
Ad.data[5] = 0; Ad.data[10] = 0; Ad.data[11] = 0;
DMatrixRMaj Ad_tran = new DMatrixRMaj(4,5);
CommonOps_DDRM.transpose(Ad,Ad_tran);
// convert to sparse
DMatrixSparseCSC A = DConvertMatrixStruct.convert(Ad,(DMatrixSparseCSC)null, UtilEjml.EPS);
DMatrixSparseCSC At = DConvertMatrixStruct.convert(Ad_tran,(DMatrixSparseCSC)null, UtilEjml.EPS);
A.sortIndices(null);
assertTrue(MatrixFeatures_DSCC.isTranspose(A,At, UtilEjml.TEST_F64));
At.nz_values[4] += 0.01;
assertFalse(MatrixFeatures_DSCC.isTranspose(A,At, UtilEjml.TEST_F64));
}
@Test
public void isVector() {
assertTrue(MatrixFeatures_DSCC.isVector(new DMatrixSparseCSC(10,1,5)));
assertTrue(MatrixFeatures_DSCC.isVector(new DMatrixSparseCSC(1,10,5)));
assertFalse(MatrixFeatures_DSCC.isVector(new DMatrixSparseCSC(10,10,5)));
assertFalse(MatrixFeatures_DSCC.isVector(new DMatrixSparseCSC(1,1,5)));
}
@Test
public void isSymmetric() {
DMatrixSparseCSC A = new DMatrixSparseCSC(5,4,2);
// not square
assertFalse(MatrixFeatures_DSCC.isSymmetric(A,UtilEjml.TEST_F64));
// a matrix with all zeros is symmetric
A.reshape(5,5,2);
assertTrue(MatrixFeatures_DSCC.isSymmetric(A,UtilEjml.TEST_F64));
// test with various random matrices
for (int N = 1; N < 10; N++) {
for (int mc = 0; mc < 30; mc++) {
int nz = (int)Math.ceil(N*N*(rand.nextDouble()*0.4+0.1));
A = RandomMatrices_DSCC.rectangle(N,N,nz,rand);
DMatrixSparseCSC A_t = CommonOps_DSCC.transpose(A,null,null);
DMatrixSparseCSC C = new DMatrixSparseCSC(N,N,0);
// C must be symmetric
CommonOps_DSCC.mult(A,A_t,C,null,null);
assertTrue(MatrixFeatures_DSCC.isSymmetric(C,UtilEjml.TEST_F64));
// make it not symmetric
if( N > 1 ) {
int index = rand.nextInt(C.nz_length);
C.nz_values[index] += 0.1;
// see if it modified a diagonal element. still will be diagonal if it did
int row = C.nz_rows[index];
int col = 0;
while( col < C.numCols ) {
if( index < C.col_idx[col+1] )
break;
col++;
}
if( row != col )
assertFalse(MatrixFeatures_DSCC.isSymmetric(C, UtilEjml.TEST_F64));
}
}
}
}
@Test
public void isPositiveDefinite() {
DMatrixSparseCSC a = UtilEjml.parse_DSCC("2 0 0 2",2);
DMatrixSparseCSC b = UtilEjml.parse_DSCC("0 1 1 0",2);
DMatrixSparseCSC c = UtilEjml.parse_DSCC("0 0 0 0",2);
assertTrue(MatrixFeatures_DSCC.isPositiveDefinite(a));
assertFalse(MatrixFeatures_DSCC.isPositiveDefinite(b));
assertFalse(MatrixFeatures_DSCC.isPositiveDefinite(c));
}
@Test
public void isOrthogonal() {
// rotation matrices are orthogonal
double c = Math.cos(0.1);
double s = Math.sin(0.1);
DMatrixSparseCSC A = new DMatrixSparseCSC(2,2,2);
A.set(0,0,c);A.set(0,1,s);
A.set(1,0,-s);A.set(1,1,c);
assertTrue(MatrixFeatures_DSCC.isOrthogonal(A,UtilEjml.TEST_F64_SQ));
// try a negative case now
A.set(0,1,495);
assertFalse(MatrixFeatures_DSCC.isOrthogonal(A,UtilEjml.TEST_F64_SQ));
A.set(0,1,Double.NaN);
assertFalse(MatrixFeatures_DSCC.isOrthogonal(A,UtilEjml.TEST_F64_SQ));
}
}
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