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TestMatrix.java
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956 lines (913 loc) · 41.2 KB
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import Jama.util.*;
import java.io.*;
import java.util.zip.GZIPInputStream;
import java.text.DecimalFormat;
import java.text.DecimalFormatSymbols;
import java.util.Locale;
/** TestMatrix tests the functionality of the Jama Matrix class and associated decompositions.
<P>
Run the test from the command line using
<BLOCKQUOTE><PRE><CODE>
java Jama.test.TestMatrix
</CODE></PRE></BLOCKQUOTE>
Detailed output is provided indicating the functionality being tested
and whether the functionality is correctly implemented. Exception handling
is also tested.
<P>
The test is designed to run to completion and give a summary of any implementation errors
encountered. The final output should be:
<BLOCKQUOTE><PRE><CODE>
TestMatrix completed.
Total errors reported: n1
Total warning reported: n2
</CODE></PRE></BLOCKQUOTE>
If the test does not run to completion, this indicates that there is a
substantial problem within the implementation that was not anticipated in the test design.
The stopping point should give an indication of where the problem exists.
**/
public class TestMatrix {
public static void main (String argv[]) {
Matrix A,B,C,Z,O,I,R,S,X,SUB,M,T,SQ,DEF,SOL;
// Uncomment this to test IO in a different locale.
// Locale.setDefault(Locale.GERMAN);
int errorCount=0;
int warningCount=0;
double tmp, s;
double[] columnwise = {1.,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.};
double[] rowwise = {1.,4.,7.,10.,2.,5.,8.,11.,3.,6.,9.,12.};
double[][] avals = {{1.,4.,7.,10.},{2.,5.,8.,11.},{3.,6.,9.,12.}};
double[][] rankdef = avals;
double[][] tvals = {{1.,2.,3.},{4.,5.,6.},{7.,8.,9.},{10.,11.,12.}};
double[][] subavals = {{5.,8.,11.},{6.,9.,12.}};
double[][] rvals = {{1.,4.,7.},{2.,5.,8.,11.},{3.,6.,9.,12.}};
double[][] pvals = {{4.,1.,1.},{1.,2.,3.},{1.,3.,6.}};
double[][] ivals = {{1.,0.,0.,0.},{0.,1.,0.,0.},{0.,0.,1.,0.}};
double[][] evals =
{{0.,1.,0.,0.},{1.,0.,2.e-7,0.},{0.,-2.e-7,0.,1.},{0.,0.,1.,0.}};
double[][] square = {{166.,188.,210.},{188.,214.,240.},{210.,240.,270.}};
double[][] sqSolution = {{13.},{15.}};
double[][] condmat = {{1.,3.},{7.,9.}};
double[][] badeigs = {{0,0,0,0,0}, {0,0,0,0,1},{0,0,0,1,0},
{1,1,0,0,1},{1,0,1,0,1}};
int rows=3,cols=4;
int invalidld=5;/* should trigger bad shape for construction with val */
int raggedr=0; /* (raggedr,raggedc) should be out of bounds in ragged array */
int raggedc=4;
int validld=3; /* leading dimension of intended test Matrices */
int nonconformld=4; /* leading dimension which is valid, but nonconforming */
int ib=1,ie=2,jb=1,je=3; /* index ranges for sub Matrix */
int[] rowindexset = {1,2};
int[] badrowindexset = {1,3};
int[] columnindexset = {1,2,3};
int[] badcolumnindexset = {1,2,4};
double columnsummax = 33.;
double rowsummax = 30.;
double sumofdiagonals = 15;
double sumofsquares = 650;
/**
Constructors and constructor-like methods:
double[], int
double[][]
int, int
int, int, double
int, int, double[][]
constructWithCopy(double[][])
random(int,int)
identity(int)
**/
print("\nTesting constructors and constructor-like methods...\n");
try{
/** check that exception is thrown in packed constructor with invalid length **/
A = new Matrix(columnwise,invalidld);
errorCount = try_failure(errorCount,"Catch invalid length in packed constructor... ",
"exception not thrown for invalid input");
} catch ( IllegalArgumentException e ) {
try_success("Catch invalid length in packed constructor... ",
e.getMessage());
}
try{
/** check that exception is thrown in default constructor
if input array is 'ragged' **/
A = new Matrix(rvals);
tmp = A.get(raggedr,raggedc);
} catch ( IllegalArgumentException e ) {
try_success("Catch ragged input to default constructor... ",
e.getMessage());
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"Catch ragged input to constructor... ",
"exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
}
try{
/** check that exception is thrown in constructWithCopy
if input array is 'ragged' **/
A = Matrix.constructWithCopy(rvals);
tmp = A.get(raggedr,raggedc);
} catch ( IllegalArgumentException e ) {
try_success("Catch ragged input to constructWithCopy... ",e.getMessage());
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"Catch ragged input to constructWithCopy... ","exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
}
A = new Matrix(columnwise,validld);
B = new Matrix(avals);
tmp = B.get(0,0);
avals[0][0] = 0.0;
C = B.minus(A);
avals[0][0] = tmp;
B = Matrix.constructWithCopy(avals);
tmp = B.get(0,0);
avals[0][0] = 0.0;
if ( ( tmp - B.get(0,0) ) != 0.0 ) {
/** check that constructWithCopy behaves properly **/
errorCount = try_failure(errorCount,"constructWithCopy... ","copy not effected... data visible outside");
} else {
try_success("constructWithCopy... ","");
}
avals[0][0] = columnwise[0];
I = new Matrix(ivals);
try {
check(I,Matrix.identity(3,4));
try_success("identity... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"identity... ","identity Matrix not successfully created");
}
/**
Access Methods:
getColumnDimension()
getRowDimension()
getArray()
getArrayCopy()
getColumnPackedCopy()
getRowPackedCopy()
get(int,int)
getMatrix(int,int,int,int)
getMatrix(int,int,int[])
getMatrix(int[],int,int)
getMatrix(int[],int[])
set(int,int,double)
setMatrix(int,int,int,int,Matrix)
setMatrix(int,int,int[],Matrix)
setMatrix(int[],int,int,Matrix)
setMatrix(int[],int[],Matrix)
**/
print("\nTesting access methods...\n");
/**
Various get methods:
**/
B = new Matrix(avals);
if (B.getRowDimension() != rows) {
errorCount = try_failure(errorCount,"getRowDimension... ","");
} else {
try_success("getRowDimension... ","");
}
if (B.getColumnDimension() != cols) {
errorCount = try_failure(errorCount,"getColumnDimension... ","");
} else {
try_success("getColumnDimension... ","");
}
B = new Matrix(avals);
double[][] barray = B.getArray();
if ( barray != avals ) {
errorCount = try_failure(errorCount,"getArray... ","");
} else {
try_success("getArray... ","");
}
barray = B.getArrayCopy();
if ( barray == avals ) {
errorCount = try_failure(errorCount,"getArrayCopy... ","data not (deep) copied");
}
try {
check(barray,avals);
try_success("getArrayCopy... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getArrayCopy... ","data not successfully (deep) copied");
}
double[] bpacked = B.getColumnPackedCopy();
try {
check(bpacked,columnwise);
try_success("getColumnPackedCopy... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getColumnPackedCopy... ","data not successfully (deep) copied by columns");
}
bpacked = B.getRowPackedCopy();
try {
check(bpacked,rowwise);
try_success("getRowPackedCopy... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getRowPackedCopy... ","data not successfully (deep) copied by rows");
}
try {
tmp = B.get(B.getRowDimension(),B.getColumnDimension()-1);
errorCount = try_failure(errorCount,"get(int,int)... ","OutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
tmp = B.get(B.getRowDimension()-1,B.getColumnDimension());
errorCount = try_failure(errorCount,"get(int,int)... ","OutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("get(int,int)... OutofBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"get(int,int)... ","OutOfBoundsException expected but not thrown");
}
try {
if (B.get(B.getRowDimension()-1,B.getColumnDimension()-1) !=
avals[B.getRowDimension()-1][B.getColumnDimension()-1] ) {
errorCount = try_failure(errorCount,"get(int,int)... ","Matrix entry (i,j) not successfully retreived");
} else {
try_success("get(int,int)... ","");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"get(int,int)... ","Unexpected ArrayIndexOutOfBoundsException");
}
SUB = new Matrix(subavals);
try {
M = B.getMatrix(ib,ie+B.getRowDimension()+1,jb,je);
errorCount = try_failure(errorCount,"getMatrix(int,int,int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
M = B.getMatrix(ib,ie,jb,je+B.getColumnDimension()+1);
errorCount = try_failure(errorCount,"getMatrix(int,int,int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("getMatrix(int,int,int,int)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
M = B.getMatrix(ib,ie,jb,je);
try {
check(SUB,M);
try_success("getMatrix(int,int,int,int)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int,int)... ","submatrix not successfully retreived");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int,int)... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
M = B.getMatrix(ib,ie,badcolumnindexset);
errorCount = try_failure(errorCount,"getMatrix(int,int,int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
M = B.getMatrix(ib,ie+B.getRowDimension()+1,columnindexset);
errorCount = try_failure(errorCount,"getMatrix(int,int,int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("getMatrix(int,int,int[])... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
M = B.getMatrix(ib,ie,columnindexset);
try {
check(SUB,M);
try_success("getMatrix(int,int,int[])... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int[])... ","submatrix not successfully retreived");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"getMatrix(int,int,int[])... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
M = B.getMatrix(badrowindexset,jb,je);
errorCount = try_failure(errorCount,"getMatrix(int[],int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
M = B.getMatrix(rowindexset,jb,je+B.getColumnDimension()+1);
errorCount = try_failure(errorCount,"getMatrix(int[],int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("getMatrix(int[],int,int)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int,int)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
M = B.getMatrix(rowindexset,jb,je);
try {
check(SUB,M);
try_success("getMatrix(int[],int,int)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int,int)... ","submatrix not successfully retreived");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int,int)... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
M = B.getMatrix(badrowindexset,columnindexset);
errorCount = try_failure(errorCount,"getMatrix(int[],int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
M = B.getMatrix(rowindexset,badcolumnindexset);
errorCount = try_failure(errorCount,"getMatrix(int[],int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("getMatrix(int[],int[])... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int[])... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
M = B.getMatrix(rowindexset,columnindexset);
try {
check(SUB,M);
try_success("getMatrix(int[],int[])... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int[])... ","submatrix not successfully retreived");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
errorCount = try_failure(errorCount,"getMatrix(int[],int[])... ","Unexpected ArrayIndexOutOfBoundsException");
}
/**
Various set methods:
**/
try {
B.set(B.getRowDimension(),B.getColumnDimension()-1,0.);
errorCount = try_failure(errorCount,"set(int,int,double)... ","OutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
B.set(B.getRowDimension()-1,B.getColumnDimension(),0.);
errorCount = try_failure(errorCount,"set(int,int,double)... ","OutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("set(int,int,double)... OutofBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"set(int,int,double)... ","OutOfBoundsException expected but not thrown");
}
try {
B.set(ib,jb,0.);
tmp = B.get(ib,jb);
try {
check(tmp,0.);
try_success("set(int,int,double)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"set(int,int,double)... ","Matrix element not successfully set");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e1) {
errorCount = try_failure(errorCount,"set(int,int,double)... ","Unexpected ArrayIndexOutOfBoundsException");
}
M = new Matrix(2,3,0.);
try {
B.setMatrix(ib,ie+B.getRowDimension()+1,jb,je,M);
errorCount = try_failure(errorCount,"setMatrix(int,int,int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
B.setMatrix(ib,ie,jb,je+B.getColumnDimension()+1,M);
errorCount = try_failure(errorCount,"setMatrix(int,int,int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("setMatrix(int,int,int,int,Matrix)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
B.setMatrix(ib,ie,jb,je,M);
try {
check(M.minus(B.getMatrix(ib,ie,jb,je)),M);
try_success("setMatrix(int,int,int,int,Matrix)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int,int,Matrix)... ","submatrix not successfully set");
}
B.setMatrix(ib,ie,jb,je,SUB);
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int,int,Matrix)... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
B.setMatrix(ib,ie+B.getRowDimension()+1,columnindexset,M);
errorCount = try_failure(errorCount,"setMatrix(int,int,int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
B.setMatrix(ib,ie,badcolumnindexset,M);
errorCount = try_failure(errorCount,"setMatrix(int,int,int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("setMatrix(int,int,int[],Matrix)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
B.setMatrix(ib,ie,columnindexset,M);
try {
check(M.minus(B.getMatrix(ib,ie,columnindexset)),M);
try_success("setMatrix(int,int,int[],Matrix)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int[],Matrix)... ","submatrix not successfully set");
}
B.setMatrix(ib,ie,jb,je,SUB);
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int,int,int[],Matrix)... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
B.setMatrix(rowindexset,jb,je+B.getColumnDimension()+1,M);
errorCount = try_failure(errorCount,"setMatrix(int[],int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
B.setMatrix(badrowindexset,jb,je,M);
errorCount = try_failure(errorCount,"setMatrix(int[],int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("setMatrix(int[],int,int,Matrix)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int,int,Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
B.setMatrix(rowindexset,jb,je,M);
try {
check(M.minus(B.getMatrix(rowindexset,jb,je)),M);
try_success("setMatrix(int[],int,int,Matrix)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int,int,Matrix)... ","submatrix not successfully set");
}
B.setMatrix(ib,ie,jb,je,SUB);
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int,int,Matrix)... ","Unexpected ArrayIndexOutOfBoundsException");
}
try {
B.setMatrix(rowindexset,badcolumnindexset,M);
errorCount = try_failure(errorCount,"setMatrix(int[],int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e ) {
try {
B.setMatrix(badrowindexset,columnindexset,M);
errorCount = try_failure(errorCount,"setMatrix(int[],int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
try_success("setMatrix(int[],int[],Matrix)... ArrayIndexOutOfBoundsException... ","");
}
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int[],Matrix)... ","ArrayIndexOutOfBoundsException expected but not thrown");
}
try {
B.setMatrix(rowindexset,columnindexset,M);
try {
check(M.minus(B.getMatrix(rowindexset,columnindexset)),M);
try_success("setMatrix(int[],int[],Matrix)... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int[],Matrix)... ","submatrix not successfully set");
}
} catch ( java.lang.ArrayIndexOutOfBoundsException e1 ) {
errorCount = try_failure(errorCount,"setMatrix(int[],int[],Matrix)... ","Unexpected ArrayIndexOutOfBoundsException");
}
/**
Array-like methods:
minus
minusEquals
plus
plusEquals
arrayLeftDivide
arrayLeftDivideEquals
arrayRightDivide
arrayRightDivideEquals
arrayTimes
arrayTimesEquals
uminus
**/
print("\nTesting array-like methods...\n");
S = new Matrix(columnwise,nonconformld);
R = Matrix.random(A.getRowDimension(),A.getColumnDimension());
A = R;
try {
S = A.minus(S);
errorCount = try_failure(errorCount,"minus conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("minus conformance check... ","");
}
if (A.minus(R).norm1() != 0.) {
errorCount = try_failure(errorCount,"minus... ","(difference of identical Matrices is nonzero,\nSubsequent use of minus should be suspect)");
} else {
try_success("minus... ","");
}
A = R.copy();
A.minusEquals(R);
Z = new Matrix(A.getRowDimension(),A.getColumnDimension());
try {
A.minusEquals(S);
errorCount = try_failure(errorCount,"minusEquals conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("minusEquals conformance check... ","");
}
if (A.minus(Z).norm1() != 0.) {
errorCount = try_failure(errorCount,"minusEquals... ","(difference of identical Matrices is nonzero,\nSubsequent use of minus should be suspect)");
} else {
try_success("minusEquals... ","");
}
A = R.copy();
B = Matrix.random(A.getRowDimension(),A.getColumnDimension());
C = A.minus(B);
try {
S = A.plus(S);
errorCount = try_failure(errorCount,"plus conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("plus conformance check... ","");
}
try {
check(C.plus(B),A);
try_success("plus... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"plus... ","(C = A - B, but C + B != A)");
}
C = A.minus(B);
C.plusEquals(B);
try {
A.plusEquals(S);
errorCount = try_failure(errorCount,"plusEquals conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("plusEquals conformance check... ","");
}
try {
check(C,A);
try_success("plusEquals... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"plusEquals... ","(C = A - B, but C = C + B != A)");
}
A = R.uminus();
try {
check(A.plus(R),Z);
try_success("uminus... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"uminus... ","(-A + A != zeros)");
}
A = R.copy();
O = new Matrix(A.getRowDimension(),A.getColumnDimension(),1.0);
C = A.arrayLeftDivide(R);
try {
S = A.arrayLeftDivide(S);
errorCount = try_failure(errorCount,"arrayLeftDivide conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayLeftDivide conformance check... ","");
}
try {
check(C,O);
try_success("arrayLeftDivide... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayLeftDivide... ","(M.\\M != ones)");
}
try {
A.arrayLeftDivideEquals(S);
errorCount = try_failure(errorCount,"arrayLeftDivideEquals conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayLeftDivideEquals conformance check... ","");
}
A.arrayLeftDivideEquals(R);
try {
check(A,O);
try_success("arrayLeftDivideEquals... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayLeftDivideEquals... ","(M.\\M != ones)");
}
A = R.copy();
try {
A.arrayRightDivide(S);
errorCount = try_failure(errorCount,"arrayRightDivide conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayRightDivide conformance check... ","");
}
C = A.arrayRightDivide(R);
try {
check(C,O);
try_success("arrayRightDivide... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayRightDivide... ","(M./M != ones)");
}
try {
A.arrayRightDivideEquals(S);
errorCount = try_failure(errorCount,"arrayRightDivideEquals conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayRightDivideEquals conformance check... ","");
}
A.arrayRightDivideEquals(R);
try {
check(A,O);
try_success("arrayRightDivideEquals... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayRightDivideEquals... ","(M./M != ones)");
}
A = R.copy();
B = Matrix.random(A.getRowDimension(),A.getColumnDimension());
try {
S = A.arrayTimes(S);
errorCount = try_failure(errorCount,"arrayTimes conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayTimes conformance check... ","");
}
C = A.arrayTimes(B);
try {
check(C.arrayRightDivideEquals(B),A);
try_success("arrayTimes... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayTimes... ","(A = R, C = A.*B, but C./B != A)");
}
try {
A.arrayTimesEquals(S);
errorCount = try_failure(errorCount,"arrayTimesEquals conformance check... ","nonconformance not raised");
} catch ( IllegalArgumentException e ) {
try_success("arrayTimesEquals conformance check... ","");
}
A.arrayTimesEquals(B);
try {
check(A.arrayRightDivideEquals(B),R);
try_success("arrayTimesEquals... ","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"arrayTimesEquals... ","(A = R, A = A.*B, but A./B != R)");
}
/**
I/O methods:
read
print
serializable:
writeObject
readObject
**/
print("\nTesting I/O methods...\n");
try {
DecimalFormat fmt = new DecimalFormat("0.0000E00");
fmt.setDecimalFormatSymbols(new DecimalFormatSymbols(Locale.US));
PrintWriter FILE = new PrintWriter(new FileOutputStream("JamaTestMatrix.out"));
A.print(FILE,fmt,10);
FILE.close();
R = Matrix.read(new BufferedReader(new FileReader("JamaTestMatrix.out")));
if (A.minus(R).norm1() < .001 ) {
try_success("print()/read()...","");
} else {
errorCount = try_failure(errorCount,"print()/read()...","Matrix read from file does not match Matrix printed to file");
}
} catch ( java.io.IOException ioe ) {
warningCount = try_warning(warningCount,"print()/read()...","unexpected I/O error, unable to run print/read test; check write permission in current directory and retry");
} catch(Exception e) {
try {
e.printStackTrace(System.out);
warningCount = try_warning(warningCount,"print()/read()...","Formatting error... will try JDK1.1 reformulation...");
DecimalFormat fmt = new DecimalFormat("0.0000");
PrintWriter FILE = new PrintWriter(new FileOutputStream("JamaTestMatrix.out"));
A.print(FILE,fmt,10);
FILE.close();
R = Matrix.read(new BufferedReader(new FileReader("JamaTestMatrix.out")));
if (A.minus(R).norm1() < .001 ) {
try_success("print()/read()...","");
} else {
errorCount = try_failure(errorCount,"print()/read() (2nd attempt) ...","Matrix read from file does not match Matrix printed to file");
}
} catch ( java.io.IOException ioe ) {
warningCount = try_warning(warningCount,"print()/read()...","unexpected I/O error, unable to run print/read test; check write permission in current directory and retry");
}
}
R = Matrix.random(A.getRowDimension(),A.getColumnDimension());
String tmpname = "TMPMATRIX.serial";
try {
ObjectOutputStream out = new ObjectOutputStream(new FileOutputStream(tmpname));
out.writeObject(R);
ObjectInputStream sin = new ObjectInputStream(new FileInputStream(tmpname));
A = (Matrix) sin.readObject();
try {
check(A,R);
try_success("writeObject(Matrix)/readObject(Matrix)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"writeObject(Matrix)/readObject(Matrix)...","Matrix not serialized correctly");
}
} catch ( java.io.IOException ioe ) {
warningCount = try_warning(warningCount,"writeObject()/readObject()...","unexpected I/O error, unable to run serialization test; check write permission in current directory and retry");
} catch(Exception e) {
errorCount = try_failure(errorCount,"writeObject(Matrix)/readObject(Matrix)...","unexpected error in serialization test");
}
/**
LA methods:
transpose
times
cond
rank
det
trace
norm1
norm2
normF
normInf
solve
solveTranspose
inverse
chol
eig
lu
qr
svd
**/
print("\nTesting linear algebra methods...\n");
A = new Matrix(columnwise,3);
T = new Matrix(tvals);
T = A.transpose();
try {
check(A.transpose(),T);
try_success("transpose...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"transpose()...","transpose unsuccessful");
}
A.transpose();
try {
check(A.norm1(),columnsummax);
try_success("norm1...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"norm1()...","incorrect norm calculation");
}
try {
check(A.normInf(),rowsummax);
try_success("normInf()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"normInf()...","incorrect norm calculation");
}
try {
check(A.normF(),Math.sqrt(sumofsquares));
try_success("normF...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"normF()...","incorrect norm calculation");
}
try {
check(A.trace(),sumofdiagonals);
try_success("trace()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"trace()...","incorrect trace calculation");
}
try {
check(A.getMatrix(0,A.getRowDimension()-1,0,A.getRowDimension()-1).det(),0.);
try_success("det()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"det()...","incorrect determinant calculation");
}
SQ = new Matrix(square);
try {
check(A.times(A.transpose()),SQ);
try_success("times(Matrix)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"times(Matrix)...","incorrect Matrix-Matrix product calculation");
}
try {
check(A.times(0.),Z);
try_success("times(double)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"times(double)...","incorrect Matrix-scalar product calculation");
}
A = new Matrix(columnwise,4);
QRDecomposition QR = A.qr();
R = QR.getR();
try {
check(A,QR.getQ().times(R));
try_success("QRDecomposition...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"QRDecomposition...","incorrect QR decomposition calculation");
}
SingularValueDecomposition SVD = A.svd();
try {
check(A,SVD.getU().times(SVD.getS().times(SVD.getV().transpose())));
try_success("SingularValueDecomposition...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"SingularValueDecomposition...","incorrect singular value decomposition calculation");
}
DEF = new Matrix(rankdef);
try {
check(DEF.rank(),Math.min(DEF.getRowDimension(),DEF.getColumnDimension())-1);
try_success("rank()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"rank()...","incorrect rank calculation");
}
B = new Matrix(condmat);
SVD = B.svd();
double [] singularvalues = SVD.getSingularValues();
try {
check(B.cond(),singularvalues[0]/singularvalues[Math.min(B.getRowDimension(),B.getColumnDimension())-1]);
try_success("cond()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"cond()...","incorrect condition number calculation");
}
int n = A.getColumnDimension();
A = A.getMatrix(0,n-1,0,n-1);
A.set(0,0,0.);
LUDecomposition LU = A.lu();
try {
check(A.getMatrix(LU.getPivot(),0,n-1),LU.getL().times(LU.getU()));
try_success("LUDecomposition...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"LUDecomposition...","incorrect LU decomposition calculation");
}
X = A.inverse();
try {
check(A.times(X),Matrix.identity(3,3));
try_success("inverse()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"inverse()...","incorrect inverse calculation");
}
O = new Matrix(SUB.getRowDimension(),1,1.0);
SOL = new Matrix(sqSolution);
SQ = SUB.getMatrix(0,SUB.getRowDimension()-1,0,SUB.getRowDimension()-1);
try {
check(SQ.solve(SOL),O);
try_success("solve()...","");
} catch ( java.lang.IllegalArgumentException e1 ) {
errorCount = try_failure(errorCount,"solve()...",e1.getMessage());
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"solve()...",e.getMessage());
}
A = new Matrix(pvals);
CholeskyDecomposition Chol = A.chol();
Matrix L = Chol.getL();
try {
check(A,L.times(L.transpose()));
try_success("CholeskyDecomposition...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"CholeskyDecomposition...","incorrect Cholesky decomposition calculation");
}
X = Chol.solve(Matrix.identity(3,3));
try {
check(A.times(X),Matrix.identity(3,3));
try_success("CholeskyDecomposition solve()...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"CholeskyDecomposition solve()...","incorrect Choleskydecomposition solve calculation");
}
EigenvalueDecomposition Eig = A.eig();
Matrix D = Eig.getD();
Matrix V = Eig.getV();
try {
check(A.times(V),V.times(D));
try_success("EigenvalueDecomposition (symmetric)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"EigenvalueDecomposition (symmetric)...","incorrect symmetric Eigenvalue decomposition calculation");
}
A = new Matrix(evals);
Eig = A.eig();
D = Eig.getD();
V = Eig.getV();
try {
check(A.times(V),V.times(D));
try_success("EigenvalueDecomposition (nonsymmetric)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"EigenvalueDecomposition (nonsymmetric)...","incorrect nonsymmetric Eigenvalue decomposition calculation");
}
try {
print("\nTesting Eigenvalue; If this hangs, we've failed\n");
Matrix bA = new Matrix(badeigs);
EigenvalueDecomposition bEig = bA.eig();
try_success("EigenvalueDecomposition (hang)...","");
} catch ( java.lang.RuntimeException e ) {
errorCount = try_failure(errorCount,"EigenvalueDecomposition (hang)...",
"incorrect termination");
}
print("\nTestMatrix completed.\n");
print("Total errors reported: " + Integer.toString(errorCount) + "\n");
print("Total warnings reported: " + Integer.toString(warningCount) + "\n");
}
/** private utility routines **/
/** Check magnitude of difference of scalars. **/
private static void check(double x, double y) {
double eps = Math.pow(2.0,-52.0);
if (x == 0 & Math.abs(y) < 10*eps) return;
if (y == 0 & Math.abs(x) < 10*eps) return;
if (Math.abs(x-y) > 10*eps*Math.max(Math.abs(x),Math.abs(y))) {
throw new RuntimeException("The difference x-y is too large: x = " + Double.toString(x) + " y = " + Double.toString(y));
}
}
/** Check norm of difference of "vectors". **/
private static void check(double[] x, double[] y) {
if (x.length == y.length ) {
for (int i=0;i<x.length;i++) {
check(x[i],y[i]);
}
} else {
throw new RuntimeException("Attempt to compare vectors of different lengths");
}
}
/** Check norm of difference of arrays. **/
private static void check(double[][] x, double[][] y) {
Matrix A = new Matrix(x);
Matrix B = new Matrix(y);
check(A,B);
}
/** Check norm of difference of Matrices. **/
private static void check(Matrix X, Matrix Y) {
double eps = Math.pow(2.0,-52.0);
if (X.norm1() == 0. & Y.norm1() < 10*eps) return;
if (Y.norm1() == 0. & X.norm1() < 10*eps) return;
if (X.minus(Y).norm1() > 1000*eps*Math.max(X.norm1(),Y.norm1())) {
throw new RuntimeException("The norm of (X-Y) is too large: " + Double.toString(X.minus(Y).norm1()));
}
}
/** Shorten spelling of print. **/
private static void print (String s) {
System.out.print(s);
}
/** Print appropriate messages for successful outcome try **/
private static void try_success (String s,String e) {
print("> " + s + "success\n");
if ( e != "" ) {
print("> Message: " + e + "\n");
}
}
/** Print appropriate messages for unsuccessful outcome try **/
private static int try_failure (int count, String s,String e) {
print("> " + s + "*** failure ***\n> Message: " + e + "\n");
return ++count;
}
/** Print appropriate messages for unsuccessful outcome try **/
private static int try_warning (int count, String s,String e) {
print("> " + s + "*** warning ***\n> Message: " + e + "\n");
return ++count;
}
/** Print a row vector. **/
private static void print(double[] x, int w, int d) {
// Use format Fw.d for all elements.
System.out.print("\n");
new Matrix(x,1).print(w,d);
print("\n");
}
}