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/*
 * Copyright (c) 2009-2017, 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;

import org.ejml.data.*;


/**
 * Contains various functions related to unit testing matrix operations.
 *
 * @author Peter Abeles
 */
public class EjmlUnitTests {

    /**
     * Checks to see if every element in A is countable.  A doesn't have any element with
     * a value of NaN or infinite.
     *
     * @param A Matrix
     */
    public static void assertCountable( DMatrix A ) {
        for( int i = 0; i < A.getNumRows(); i++ ){
            for( int j = 0; j < A.getNumCols(); j++ ) {
                assertTrue(  !Double.isNaN(A.get(i,j)) , "NaN found at "+i+" "+j );
                assertTrue(  !Double.isInfinite(A.get(i,j)) , "Infinite found at "+i+" "+j );
            }
        }
    }

    /**
     * 

* Checks to see if A and B have the same shape. *

* * @param A Matrix * @param B Matrix */ public static void assertShape( Matrix A , Matrix B ) { assertTrue( A.getNumRows() == B.getNumRows() , "Number of rows do not match"); assertTrue( A.getNumCols() == B.getNumCols() , "Number of columns do not match"); } /** *

* Checks to see if the matrix has the specified number of rows and columns. *

* * @param A Matrix * @param numRows expected number of rows in the matrix * @param numCols expected number of columns in the matrix */ public static void assertShape( Matrix A , int numRows , int numCols ) { assertTrue( A.getNumRows() == numRows , "Unexpected number of rows."); assertTrue( A.getNumCols() == numCols , "Unexpected number of columns."); } /** *

* Checks to see if each element in the matrix is within tolerance of each other: *

* *

* The two matrices are identical with in tolerance if:
* |aij - bij| ≤ tol *

* *

* In addition if an element is NaN or infinite in one matrix it must be the same in the other. *

* * @param A Matrix A * @param B Matrix B * @param tol Tolerance */ public static void assertEqualsUncountable(DMatrix A , DMatrix B , double tol ) { assertShape(A, B); for (int i = 0; i < A.getNumRows(); i++) { for (int j = 0; j < A.getNumCols(); j++) { double valA = A.get(i, j); double valB = B.get(i, j); if (Double.isNaN(valA)) { assertTrue(Double.isNaN(valB), "At (" + i + "," + j + ") A = " + valA + " B = " + valB); } else if (Double.isInfinite(valA)) { assertTrue(Double.isInfinite(valB), "At (" + i + "," + j + ") A = " + valA + " B = " + valB); } else { double diff = Math.abs(valA - valB); assertTrue(diff <= tol, "At (" + i + "," + j + ") A = " + valA + " B = " + valB); } } } } public static void assertEquals( Matrix A , Matrix B ) { if( A instanceof DMatrix) { assertEquals((DMatrix)A, (DMatrix)B, UtilEjml.TEST_F64); } else { assertEquals((FMatrix)A, (FMatrix)B, UtilEjml.TEST_F32); } } /** *

* Checks to see if each element in the matrices are within tolerance of each other and countable: *

* *

* The two matrices are identical with in tolerance if:
* |aij - bij| ≤ tol *

* *

* The test will fail if any element in either matrix is NaN or infinite. *

* * @param A Matrix A * @param B Matrix B * @param tol Tolerance */ public static void assertEquals(DMatrix A , DMatrix B , double tol ) { assertShape(A,B); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { double valA = A.get(i,j); double valB = B.get(i,j); assertTrue(!Double.isNaN(valA) && !Double.isNaN(valB) ,"At ("+i+","+j+") A = "+valA+" B = "+valB); assertTrue(!Double.isInfinite(valA) && !Double.isInfinite(valB) ,"At ("+i+","+j+") A = "+valA+" B = "+valB); assertTrue(Math.abs( valA-valB) <= tol,"At ("+i+","+j+") A = "+valA+" B = "+valB); } } } /** * Assert equals with a relative error */ public static void assertRelativeEquals(DMatrix A , DMatrix B , double tol ) { assertShape(A,B); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { double valA = A.get(i,j); double valB = B.get(i,j); if( (Double.isNaN(valA) != Double.isNaN(valB)) || (Double.isInfinite(valA) != Double.isInfinite(valB))) { throw new AssertionError("At ("+i+","+j+") A = "+valA+" B = "+valB); } double max = Math.max(Math.abs(valA), Math.abs(valB)); double error = Math.abs(valA - valB) / max; if( error > tol ) { System.out.println("------------ A -----------"); A.print(); System.out.println("\n------------ B -----------"); B.print(); throw new AssertionError("At (" + i + "," + j + ") A = " + valA + " B = " + valB + " error = " + error); } } } } public static void assertEquals(FMatrix A , FMatrix B , float tol ) { assertShape(A,B); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { float valA = A.get(i,j); float valB = B.get(i,j); assertTrue(!Float.isNaN(valA) && !Float.isNaN(valB) ,"At ("+i+","+j+") A = "+valA+" B = "+valB); assertTrue(!Float.isInfinite(valA) && !Float.isInfinite(valB) ,"At ("+i+","+j+") A = "+valA+" B = "+valB); assertTrue(Math.abs( valA-valB) <= tol,"At ("+i+","+j+") A = "+valA+" B = "+valB); } } } public static void assertEquals(Complex_F64 a , Complex_F64 b , double tol ) { assertTrue(!Double.isNaN(a.real) && !Double.isNaN(b.real) ,"real a = "+a.real+" b = "+b.real); assertTrue(!Double.isInfinite(a.real) && !Double.isInfinite(b.real) ,"real a = "+a.real+" b = "+b.real); assertTrue(Math.abs( a.real-b.real) <= tol,"real a = "+a.real+" b = "+b.real); assertTrue(!Double.isNaN(a.imaginary) && !Double.isNaN(b.imaginary) ,"imaginary a = "+a.imaginary+" b = "+b.imaginary); assertTrue(!Double.isInfinite(a.imaginary) && !Double.isInfinite(b.imaginary) ,"imaginary a = "+a.imaginary+" b = "+b.imaginary); assertTrue(Math.abs( a.imaginary-b.imaginary) <= tol,"imaginary a = "+a.imaginary+" b = "+b.imaginary); } public static void assertEquals(Complex_F32 a , Complex_F32 b , float tol ) { assertTrue(!Float.isNaN(a.real) && !Float.isNaN(b.real) ,"real a = "+a.real+" b = "+b.real); assertTrue(!Float.isInfinite(a.real) && !Float.isInfinite(b.real) ,"real a = "+a.real+" b = "+b.real); assertTrue(Math.abs( a.real-b.real) <= tol,"real a = "+a.real+" b = "+b.real); assertTrue(!Float.isNaN(a.imaginary) && !Float.isNaN(b.imaginary) ,"imaginary a = "+a.imaginary+" b = "+b.imaginary); assertTrue(!Float.isInfinite(a.imaginary) && !Float.isInfinite(b.imaginary) ,"imaginary a = "+a.imaginary+" b = "+b.imaginary); assertTrue(Math.abs( a.imaginary-b.imaginary) <= tol,"imaginary a = "+a.imaginary+" b = "+b.imaginary); } public static void assertEquals(ZMatrix A , ZMatrix B , double tol ) { assertShape(A,B); Complex_F64 a = new Complex_F64(); Complex_F64 b = new Complex_F64(); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { A.get(i, j, a); B.get(i, j, b); assertTrue(!Double.isNaN(a.real) && !Double.isNaN(b.real) ,"Real At ("+i+","+j+") A = "+a.real+" B = "+b.real); assertTrue(!Double.isInfinite(a.real) && !Double.isInfinite(b.real) ,"Real At ("+i+","+j+") A = "+a.real+" B = "+b.real); assertTrue(Math.abs( a.real-b.real) <= tol,"Real At ("+i+","+j+") A = "+a.real+" B = "+b.real); assertTrue(!Double.isNaN(a.imaginary) && !Double.isNaN(b.imaginary) ,"Img At ("+i+","+j+") A = "+a.imaginary+" B = "+b.imaginary); assertTrue(!Double.isInfinite(a.imaginary) && !Double.isInfinite(b.imaginary) ,"Img At ("+i+","+j+") A = "+a.imaginary+" B = "+b.imaginary); assertTrue(Math.abs( a.imaginary-b.imaginary) <= tol,"Img At ("+i+","+j+") A = "+a.imaginary+" B = "+b.imaginary); } } } public static void assertEquals(CMatrix A , CMatrix B , float tol ) { assertShape(A, B); Complex_F32 a = new Complex_F32(); Complex_F32 b = new Complex_F32(); for (int i = 0; i < A.getNumRows(); i++) { for (int j = 0; j < A.getNumCols(); j++) { A.get(i, j, a); B.get(i, j, b); assertTrue(!Float.isNaN(a.real) && !Float.isNaN(b.real), "Real At (" + i + "," + j + ") A = " + a.real + " B = " + b.real); assertTrue(!Float.isInfinite(a.real) && !Float.isInfinite(b.real), "Real At (" + i + "," + j + ") A = " + a.real + " B = " + b.real); assertTrue(Math.abs(a.real - b.real) <= tol, "Real At (" + i + "," + j + ") A = " + a.real + " B = " + b.real); assertTrue(!Float.isNaN(a.imaginary) && !Float.isNaN(b.imaginary), "Img At (" + i + "," + j + ") A = " + a.imaginary + " B = " + b.imaginary); assertTrue(!Float.isInfinite(a.imaginary) && !Float.isInfinite(b.imaginary), "Img At (" + i + "," + j + ") A = " + a.imaginary + " B = " + b.imaginary); assertTrue(Math.abs(a.imaginary - b.imaginary) <= tol, "Img At (" + i + "," + j + ") A = " + a.imaginary + " B = " + b.imaginary); } } } /** *

* Checks to see if the transpose of B is equal to A and countable: *

* *

* |aij - bji| ≤ tol *

* *

* The test will fail if any element in either matrix is NaN or infinite. *

* * @param A Matrix A * @param B Matrix B * @param tol Tolerance */ public static void assertEqualsTrans(DMatrix A , DMatrix B , double tol ) { assertShape(A,B.getNumCols(),B.getNumRows()); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { double valA = A.get(i,j); double valB = B.get(j,i); assertTrue(!Double.isNaN(valA) && !Double.isNaN(valB) ,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); assertTrue(!Double.isInfinite(valA) && !Double.isInfinite(valB) ,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); assertTrue(Math.abs( valA-valB) <= tol,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); } } } public static void assertEqualsTrans(FMatrix A , FMatrix B , double tol ) { assertShape(A,B.getNumCols(),B.getNumRows()); for( int i = 0; i < A.getNumRows(); i++ ){ for( int j = 0; j < A.getNumCols(); j++ ) { Float valA = A.get(i,j); Float valB = B.get(j,i); assertTrue(!Float.isNaN(valA) && !Float.isNaN(valB) ,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); assertTrue(!Float.isInfinite(valA) && !Float.isInfinite(valB) ,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); assertTrue(Math.abs( valA-valB) <= tol,"A("+i+","+j+") = "+valA+") B("+j+","+i+") = "+valB); } } } @SuppressWarnings({"ConstantConditions"}) private static void assertTrue( boolean result , String message ) { // if turned on use asserts assert result : message; // otherwise throw an exception if( !result ) throw new AssertionError(message); } }




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