public static void Main(System.String[] argv)
{
GeneralMatrix A, B, C, Z, O, I, R, S, X, SUB, M, T, SQ, DEF, SOL;
int errorCount = 0;
int warningCount = 0;
double tmp;
double[] columnwise = new double[]{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0};
double[] rowwise = new double[]{1.0, 4.0, 7.0, 10.0, 2.0, 5.0, 8.0, 11.0, 3.0, 6.0, 9.0, 12.0};
double[][] avals = {new double[]{1.0, 4.0, 7.0, 10.0}, new double[]{2.0, 5.0, 8.0, 11.0}, new double[]{3.0, 6.0, 9.0, 12.0}};
double[][] rankdef = avals;
double[][] tvals = {new double[]{1.0, 2.0, 3.0}, new double[]{4.0, 5.0, 6.0}, new double[]{7.0, 8.0, 9.0}, new double[]{10.0, 11.0, 12.0}};
double[][] subavals = {new double[]{5.0, 8.0, 11.0}, new double[]{6.0, 9.0, 12.0}};
double[][] rvals = {new double[]{1.0, 4.0, 7.0}, new double[]{2.0, 5.0, 8.0, 11.0}, new double[]{3.0, 6.0, 9.0, 12.0}};
double[][] pvals = {new double[]{1.0, 1.0, 1.0}, new double[]{1.0, 2.0, 3.0}, new double[]{1.0, 3.0, 6.0}};
double[][] ivals = {new double[]{1.0, 0.0, 0.0, 0.0}, new double[]{0.0, 1.0, 0.0, 0.0}, new double[]{0.0, 0.0, 1.0, 0.0}};
double[][] evals = {new double[]{0.0, 1.0, 0.0, 0.0}, new double[]{1.0, 0.0, 2e-7, 0.0}, new double[]{0.0, - 2e-7, 0.0, 1.0}, new double[]{0.0, 0.0, 1.0, 0.0}};
double[][] square = {new double[]{166.0, 188.0, 210.0}, new double[]{188.0, 214.0, 240.0}, new double[]{210.0, 240.0, 270.0}};
double[][] sqSolution = {new double[]{13.0}, new double[]{15.0}};
double[][] condmat = {new double[]{1.0, 3.0}, new double[]{7.0, 9.0}};
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 GeneralMatrix */
int[] rowindexset = new int[]{1, 2};
int[] badrowindexset = new int[]{1, 3};
int[] columnindexset = new int[]{1, 2, 3};
int[] badcolumnindexset = new int[]{1, 2, 4};
double columnsummax = 33.0;
double rowsummax = 30.0;
double sumofdiagonals = 15;
double sumofsquares = 650;
// SUMMARY:Constructors and constructor-like methods:
// double[], int
// double[][]
// int, int
// int, int, double
// int, int, double[][]
// Create(double[][])
// Random(int,int)
// Identity(int)
//
//
//print("\nTesting constructors and constructor-like methods...\n");
//try
//{
// // SUMMARY:check that exception is thrown in packed constructor with invalid length *
// A = new GeneralMatrix(columnwise, invalidld);
// errorCount = try_failure(errorCount, "Catch invalid length in packed constructor... ", "exception not thrown for invalid input");
//}
//catch (System.ArgumentException e)
//{
// try_success("Catch invalid length in packed constructor... ", e.Message);
//}
//try
//{
// // SUMMARY:check that exception is thrown in default constructor
// // if input array is 'ragged' *
// //
// A = new GeneralMatrix(rvals);
// tmp = A.GetElement(raggedr, raggedc);
//}
//catch (System.ArgumentException e)
//{
// try_success("Catch ragged input to default constructor... ", e.Message);
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "Catch ragged input to constructor... ", "exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// // SUMMARY:check that exception is thrown in Create
// // if input array is 'ragged' *
// //
// A = GeneralMatrix.Create(rvals);
// tmp = A.GetElement(raggedr, raggedc);
//}
//catch (System.ArgumentException e)
//{
// try_success("Catch ragged input to Create... ", e.Message);
// System.Console.Out.WriteLine(e.Message);
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "Catch ragged input to Create... ", "exception not thrown in construction...ArrayIndexOutOfBoundsException thrown later");
// System.Console.Out.WriteLine(e.Message);
//}
//A = new GeneralMatrix(columnwise, validld);
//B = new GeneralMatrix(avals);
//tmp = B.GetElement(0, 0);
//avals[0][0] = 0.0;
//C = B.Subtract(A);
//avals[0][0] = tmp;
//B = GeneralMatrix.Create(avals);
//tmp = B.GetElement(0, 0);
//avals[0][0] = 0.0;
//if ((tmp - B.GetElement(0, 0)) != 0.0)
//{
// // SUMMARY:check that Create behaves properly *
// errorCount = try_failure(errorCount, "Create... ", "Copy not effected... data visible outside");
//}
//else
//{
// try_success("Create... ", "");
//}
//avals[0][0] = columnwise[0];
//I = new GeneralMatrix(ivals);
//try
//{
// check(I, GeneralMatrix.Identity(3, 4));
// try_success("Identity... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "Identity... ", "Identity GeneralMatrix not successfully created");
// System.Console.Out.WriteLine(e.Message);
//}
// SUMMARY: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,GeneralMatrix)
// SetMatrix(int,int,int[],GeneralMatrix)
// SetMatrix(int[],int,int,GeneralMatrix)
// SetMatrix(int[],int[],GeneralMatrix)
//
//
//print("\nTesting access methods...\n");
// SUMMARY:Various get methods:
//
//
B = new GeneralMatrix(avals);
//if (B.RowDimension != rows)
//{
// errorCount = try_failure(errorCount, "getRowDimension... ", "");
//}
//else
//{
// try_success("getRowDimension... ", "");
//}
//if (B.ColumnDimension != cols)
//{
// errorCount = try_failure(errorCount, "getColumnDimension... ", "");
//}
//else
//{
// try_success("getColumnDimension... ", "");
//}
//B = new GeneralMatrix(avals);
//double[][] barray = B.Array;
//if (barray != avals)
//{
// errorCount = try_failure(errorCount, "getArray... ", "");
//}
//else
//{
// try_success("getArray... ", "");
//}
//barray = B.ArrayCopy;
//if (barray == avals)
//{
// errorCount = try_failure(errorCount, "getArrayCopy... ", "data not (deep) copied");
//}
//try
//{
// check(barray, avals);
// try_success("getArrayCopy... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "getArrayCopy... ", "data not successfully (deep) copied");
// System.Console.Out.WriteLine(e.Message);
//}
//double[] bpacked = B.ColumnPackedCopy;
//try
//{
// check(bpacked, columnwise);
// try_success("getColumnPackedCopy... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "getColumnPackedCopy... ", "data not successfully (deep) copied by columns");
// System.Console.Out.WriteLine(e.Message);
//}
//bpacked = B.RowPackedCopy;
//try
//{
// check(bpacked, rowwise);
// try_success("getRowPackedCopy... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "getRowPackedCopy... ", "data not successfully (deep) copied by rows");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// tmp = B.GetElement(B.RowDimension, B.ColumnDimension - 1);
// errorCount = try_failure(errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// tmp = B.GetElement(B.RowDimension - 1, B.ColumnDimension);
// errorCount = try_failure(errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("get(int,int)... OutofBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "get(int,int)... ", "OutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// if (B.GetElement(B.RowDimension - 1, B.ColumnDimension - 1) != avals[B.RowDimension - 1][B.ColumnDimension - 1])
// {
// errorCount = try_failure(errorCount, "get(int,int)... ", "GeneralMatrix entry (i,j) not successfully retreived");
// }
// else
// {
// try_success("get(int,int)... ", "");
// }
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "get(int,int)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e.Message);
//}
SUB = new GeneralMatrix(subavals);
//try
//{
// M = B.GetMatrix(ib, ie + B.RowDimension + 1, jb, je);
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// M = B.GetMatrix(ib, ie, jb, je + B.ColumnDimension + 1);
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("GetMatrix(int,int,int,int)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// M = B.GetMatrix(ib, ie, jb, je);
// try
// {
// check(SUB, M);
// try_success("GetMatrix(int,int,int,int)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int,int)... ", "submatrix not successfully retreived");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int,int)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// M = B.GetMatrix(ib, ie, badcolumnindexset);
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// M = B.GetMatrix(ib, ie + B.RowDimension + 1, columnindexset);
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("GetMatrix(int,int,int[])... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// M = B.GetMatrix(ib, ie, columnindexset);
// try
// {
// check(SUB, M);
// try_success("GetMatrix(int,int,int[])... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int[])... ", "submatrix not successfully retreived");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int,int,int[])... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// M = B.GetMatrix(badrowindexset, jb, je);
// errorCount = try_failure(errorCount, "GetMatrix(int[],int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// M = B.GetMatrix(rowindexset, jb, je + B.ColumnDimension + 1);
// errorCount = try_failure(errorCount, "GetMatrix(int[],int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("GetMatrix(int[],int,int)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int[],int,int)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// M = B.GetMatrix(rowindexset, jb, je);
// try
// {
// check(SUB, M);
// try_success("GetMatrix(int[],int,int)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "GetMatrix(int[],int,int)... ", "submatrix not successfully retreived");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int[],int,int)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// M = B.GetMatrix(badrowindexset, columnindexset);
// errorCount = try_failure(errorCount, "GetMatrix(int[],int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// M = B.GetMatrix(rowindexset, badcolumnindexset);
// errorCount = try_failure(errorCount, "GetMatrix(int[],int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("GetMatrix(int[],int[])... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int[],int[])... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// M = B.GetMatrix(rowindexset, columnindexset);
// try
// {
// check(SUB, M);
// try_success("GetMatrix(int[],int[])... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "GetMatrix(int[],int[])... ", "submatrix not successfully retreived");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e)
//{
// errorCount = try_failure(errorCount, "GetMatrix(int[],int[])... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e.Message);
//}
// SUMMARY:Various set methods:
//
//
//try
//{
// B.SetElement(B.RowDimension, B.ColumnDimension - 1, 0.0);
// errorCount = try_failure(errorCount, "set(int,int,double)... ", "OutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// B.SetElement(B.RowDimension - 1, B.ColumnDimension, 0.0);
// errorCount = try_failure(errorCount, "set(int,int,double)... ", "OutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("set(int,int,double)... OutofBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "set(int,int,double)... ", "OutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetElement(ib, jb, 0.0);
// tmp = B.GetElement(ib, jb);
// try
// {
// check(tmp, 0.0);
// try_success("set(int,int,double)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "set(int,int,double)... ", "GeneralMatrix element not successfully set");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e1)
//{
// errorCount = try_failure(errorCount, "set(int,int,double)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e1.Message);
//}
M = new GeneralMatrix(2, 3, 0.0);
//try
//{
// B.SetMatrix(ib, ie + B.RowDimension + 1, jb, je, M);
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// B.SetMatrix(ib, ie, jb, je + B.ColumnDimension + 1, M);
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("SetMatrix(int,int,int,int,GeneralMatrix)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(ib, ie, jb, je, M);
// try
// {
// check(M.Subtract(B.GetMatrix(ib, ie, jb, je)), M);
// try_success("SetMatrix(int,int,int,int,GeneralMatrix)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int,int,GeneralMatrix)... ", "submatrix not successfully set");
// System.Console.Out.WriteLine(e.Message);
// }
// B.SetMatrix(ib, ie, jb, je, SUB);
//}
//catch (System.IndexOutOfRangeException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int,int,GeneralMatrix)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(ib, ie + B.RowDimension + 1, columnindexset, M);
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// B.SetMatrix(ib, ie, badcolumnindexset, M);
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("SetMatrix(int,int,int[],GeneralMatrix)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(ib, ie, columnindexset, M);
// try
// {
// check(M.Subtract(B.GetMatrix(ib, ie, columnindexset)), M);
// try_success("SetMatrix(int,int,int[],GeneralMatrix)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int[],GeneralMatrix)... ", "submatrix not successfully set");
// System.Console.Out.WriteLine(e.Message);
// }
// B.SetMatrix(ib, ie, jb, je, SUB);
//}
//catch (System.IndexOutOfRangeException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int,int,int[],GeneralMatrix)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(rowindexset, jb, je + B.ColumnDimension + 1, M);
// errorCount = try_failure(errorCount, "SetMatrix(int[],int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// B.SetMatrix(badrowindexset, jb, je, M);
// errorCount = try_failure(errorCount, "SetMatrix(int[],int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("SetMatrix(int[],int,int,GeneralMatrix)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int[],int,int,GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(rowindexset, jb, je, M);
// try
// {
// check(M.Subtract(B.GetMatrix(rowindexset, jb, je)), M);
// try_success("SetMatrix(int[],int,int,GeneralMatrix)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "SetMatrix(int[],int,int,GeneralMatrix)... ", "submatrix not successfully set");
// System.Console.Out.WriteLine(e.Message);
// }
// B.SetMatrix(ib, ie, jb, je, SUB);
//}
//catch (System.IndexOutOfRangeException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int[],int,int,GeneralMatrix)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(rowindexset, badcolumnindexset, M);
// errorCount = try_failure(errorCount, "SetMatrix(int[],int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
//}
//catch (System.IndexOutOfRangeException e)
//{
// System.Console.Out.WriteLine(e.Message);
// try
// {
// B.SetMatrix(badrowindexset, columnindexset, M);
// errorCount = try_failure(errorCount, "SetMatrix(int[],int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// }
// catch (System.IndexOutOfRangeException e1)
// {
// try_success("SetMatrix(int[],int[],GeneralMatrix)... ArrayIndexOutOfBoundsException... ", "");
// System.Console.Out.WriteLine(e1.Message);
// }
//}
//catch (System.ArgumentException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int[],int[],GeneralMatrix)... ", "ArrayIndexOutOfBoundsException expected but not thrown");
// System.Console.Out.WriteLine(e1.Message);
//}
//try
//{
// B.SetMatrix(rowindexset, columnindexset, M);
// try
// {
// check(M.Subtract(B.GetMatrix(rowindexset, columnindexset)), M);
// try_success("SetMatrix(int[],int[],GeneralMatrix)... ", "");
// }
// catch (System.SystemException e)
// {
// errorCount = try_failure(errorCount, "SetMatrix(int[],int[],GeneralMatrix)... ", "submatrix not successfully set");
// System.Console.Out.WriteLine(e.Message);
// }
//}
//catch (System.IndexOutOfRangeException e1)
//{
// errorCount = try_failure(errorCount, "SetMatrix(int[],int[],GeneralMatrix)... ", "Unexpected ArrayIndexOutOfBoundsException");
// System.Console.Out.WriteLine(e1.Message);
//}
// SUMMARY:Array-like methods:
// Subtract
// SubtractEquals
// Add
// AddEquals
// ArrayLeftDivide
// ArrayLeftDivideEquals
// ArrayRightDivide
// ArrayRightDivideEquals
// arrayTimes
// ArrayMultiplyEquals
// uminus
//
//
A = new GeneralMatrix(columnwise, validld);
print("\nTesting array-like methods...\n");
S = new GeneralMatrix(columnwise, nonconformld);
R = GeneralMatrix.Random(A.RowDimension, A.ColumnDimension);
A = R;
//try
//{
// S = A.Subtract(S);
// errorCount = try_failure(errorCount, "Subtract conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("Subtract conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//if (A.Subtract(R).Norm1() != 0.0)
//{
// errorCount = try_failure(errorCount, "Subtract... ", "(difference of identical Matrices is nonzero,\nSubsequent use of Subtract should be suspect)");
//}
//else
//{
// try_success("Subtract... ", "");
//}
A = R.Copy();
A.SubtractEquals(R);
Z = new GeneralMatrix(A.RowDimension, A.ColumnDimension);
//try
//{
// A.SubtractEquals(S);
// errorCount = try_failure(errorCount, "SubtractEquals conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("SubtractEquals conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//if (A.Subtract(Z).Norm1() != 0.0)
//{
// errorCount = try_failure(errorCount, "SubtractEquals... ", "(difference of identical Matrices is nonzero,\nSubsequent use of Subtract should be suspect)");
//}
//else
//{
// try_success("SubtractEquals... ", "");
//}
A = R.Copy();
B = GeneralMatrix.Random(A.RowDimension, A.ColumnDimension);
C = A.Subtract(B);
//try
//{
// S = A.Add(S);
// errorCount = try_failure(errorCount, "Add conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("Add conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// check(C.Add(B), A);
// try_success("Add... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "Add... ", "(C = A - B, but C + B != A)");
// System.Console.Out.WriteLine(e.Message);
//}
C = A.Subtract(B);
C.AddEquals(B);
//try
//{
// A.AddEquals(S);
// errorCount = try_failure(errorCount, "AddEquals conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("AddEquals conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// check(C, A);
// try_success("AddEquals... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "AddEquals... ", "(C = A - B, but C = C + B != A)");
// System.Console.Out.WriteLine(e.Message);
//}
//A = R.UnaryMinus();
//try
//{
// check(A.Add(R), Z);
// try_success("UnaryMinus... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "uminus... ", "(-A + A != zeros)");
// System.Console.Out.WriteLine(e.Message);
//}
A = R.Copy();
O = new GeneralMatrix(A.RowDimension, A.ColumnDimension, 1.0);
C = A.ArrayLeftDivide(R);
//try
//{
// S = A.ArrayLeftDivide(S);
// errorCount = try_failure(errorCount, "ArrayLeftDivide conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("ArrayLeftDivide conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// check(C, O);
// try_success("ArrayLeftDivide... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "ArrayLeftDivide... ", "(M.\\M != ones)");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// A.ArrayLeftDivideEquals(S);
// errorCount = try_failure(errorCount, "ArrayLeftDivideEquals conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("ArrayLeftDivideEquals conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//A.ArrayLeftDivideEquals(R);
//try
//{
// check(A, O);
// try_success("ArrayLeftDivideEquals... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "ArrayLeftDivideEquals... ", "(M.\\M != ones)");
// System.Console.Out.WriteLine(e.Message);
//}
//A = R.Copy();
//try
//{
// A.ArrayRightDivide(S);
// errorCount = try_failure(errorCount, "ArrayRightDivide conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("ArrayRightDivide conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//C = A.ArrayRightDivide(R);
//try
//{
// check(C, O);
// try_success("ArrayRightDivide... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "ArrayRightDivide... ", "(M./M != ones)");
// System.Console.Out.WriteLine(e.Message);
//}
//try
//{
// A.ArrayRightDivideEquals(S);
// errorCount = try_failure(errorCount, "ArrayRightDivideEquals conformance check... ", "nonconformance not raised");
//}
//catch (System.ArgumentException e)
//{
// try_success("ArrayRightDivideEquals conformance check... ", "");
// System.Console.Out.WriteLine(e.Message);
//}
//A.ArrayRightDivideEquals(R);
//try
//{
// check(A, O);
// try_success("ArrayRightDivideEquals... ", "");
//}
//catch (System.SystemException e)
//{
// errorCount = try_failure(errorCount, "ArrayRightDivideEquals... ", "(M./M != ones)");
// System.Console.Out.WriteLine(e.Message);
//}
A = R.Copy();
B = GeneralMatrix.Random(A.RowDimension, A.ColumnDimension);
try
{
S = A.ArrayMultiply(S);
errorCount = try_failure(errorCount, "arrayTimes conformance check... ", "nonconformance not raised");
}
catch (System.ArgumentException e)
{
try_success("arrayTimes conformance check... ", "");
System.Console.Out.WriteLine(e.Message);
}
C = A.ArrayMultiply(B);
try
{
check(C.ArrayRightDivideEquals(B), A);
try_success("arrayTimes... ", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "arrayTimes... ", "(A = R, C = A.*B, but C./B != A)");
System.Console.Out.WriteLine(e.Message);
}
try
{
A.ArrayMultiplyEquals(S);
errorCount = try_failure(errorCount, "ArrayMultiplyEquals conformance check... ", "nonconformance not raised");
}
catch (System.ArgumentException e)
{
try_success("ArrayMultiplyEquals conformance check... ", "");
System.Console.Out.WriteLine(e.Message);
}
A.ArrayMultiplyEquals(B);
try
{
check(A.ArrayRightDivideEquals(B), R);
try_success("ArrayMultiplyEquals... ", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "ArrayMultiplyEquals... ", "(A = R, A = A.*B, but A./B != R)");
System.Console.Out.WriteLine(e.Message);
}
// SUMMARY:LA methods:
// Transpose
// Multiply
// Condition
// Rank
// Determinant
// trace
// Norm1
// norm2
// normF
// normInf
// Solve
// solveTranspose
// Inverse
// chol
// Eigen
// lu
// qr
// svd
//
//
print("\nTesting linear algebra methods...\n");
A = new GeneralMatrix(columnwise, 3);
T = new GeneralMatrix(tvals);
T = A.Transpose();
try
{
check(A.Transpose(), T);
try_success("Transpose...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Transpose()...", "Transpose unsuccessful");
System.Console.Out.WriteLine(e.Message);
}
A.Transpose();
try
{
check(A.Norm1(), columnsummax);
try_success("Norm1...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Norm1()...", "incorrect norm calculation");
System.Console.Out.WriteLine(e.Message);
}
try
{
check(A.NormInf(), rowsummax);
try_success("normInf()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "normInf()...", "incorrect norm calculation");
System.Console.Out.WriteLine(e.Message);
}
try
{
check(A.NormF(), System.Math.Sqrt(sumofsquares));
try_success("normF...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "normF()...", "incorrect norm calculation");
System.Console.Out.WriteLine(e.Message);
}
try
{
check(A.Trace(), sumofdiagonals);
try_success("trace()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "trace()...", "incorrect trace calculation");
System.Console.Out.WriteLine(e.Message);
}
try
{
check(A.GetMatrix(0, A.RowDimension - 1, 0, A.RowDimension - 1).Determinant(), 0.0);
try_success("Determinant()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Determinant()...", "incorrect determinant calculation");
System.Console.Out.WriteLine(e.Message);
}
SQ = new GeneralMatrix(square);
try
{
check(A.Multiply(A.Transpose()), SQ);
try_success("Multiply(GeneralMatrix)...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Multiply(GeneralMatrix)...", "incorrect GeneralMatrix-GeneralMatrix product calculation");
System.Console.Out.WriteLine(e.Message);
}
try
{
check(A.Multiply(0.0), Z);
try_success("Multiply(double)...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Multiply(double)...", "incorrect GeneralMatrix-scalar product calculation");
System.Console.Out.WriteLine(e.Message);
}
A = new GeneralMatrix(columnwise, 4);
QRDecomposition QR = A.Qrd();
R = QR.R;
try
{
check(A, QR.Q.Multiply(R));
try_success("QRDecomposition...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "QRDecomposition...", "incorrect QR decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
SingularValueDecomposition SVD = A.Svd();
try
{
check(A, SVD.GetU().Multiply(SVD.S.Multiply(SVD.GetV().Transpose())));
try_success("SingularValueDecomposition...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "SingularValueDecomposition...", "incorrect singular value decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
DEF = new GeneralMatrix(rankdef);
try
{
check(DEF.Rank(), System.Math.Min(DEF.RowDimension, DEF.ColumnDimension) - 1);
try_success("Rank()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Rank()...", "incorrect Rank calculation");
System.Console.Out.WriteLine(e.Message);
}
B = new GeneralMatrix(condmat);
SVD = B.Svd();
double[] singularvalues = SVD.SingularValues;
try
{
check(B.Condition(), singularvalues[0] / singularvalues[System.Math.Min(B.RowDimension, B.ColumnDimension) - 1]);
try_success("Condition()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Condition()...", "incorrect condition number calculation");
System.Console.Out.WriteLine(e.Message);
}
int n = A.ColumnDimension;
A = A.GetMatrix(0, n - 1, 0, n - 1);
A.SetElement(0, 0, 0.0);
LUDecomposition LU = A.Lud();
try
{
check(A.GetMatrix(LU.Pivot, 0, n - 1), LU.L.Multiply(LU.U));
try_success("LUDecomposition...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "LUDecomposition...", "incorrect LU decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
X = A.Inverse();
try
{
check(A.Multiply(X), GeneralMatrix.Identity(3, 3));
try_success("Inverse()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Inverse()...", "incorrect Inverse calculation");
System.Console.Out.WriteLine(e.Message);
}
O = new GeneralMatrix(SUB.RowDimension, 1, 1.0);
SOL = new GeneralMatrix(sqSolution);
SQ = SUB.GetMatrix(0, SUB.RowDimension - 1, 0, SUB.RowDimension - 1);
try
{
check(SQ.Solve(SOL), O);
try_success("Solve()...", "");
}
catch (System.ArgumentException e1)
{
errorCount = try_failure(errorCount, "Solve()...", e1.Message);
System.Console.Out.WriteLine(e1.Message);
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "Solve()...", e.Message);
System.Console.Out.WriteLine(e.Message);
}
A = new GeneralMatrix(pvals);
CholeskyDecomposition Chol = A.Chol();
GeneralMatrix L = Chol.GetL();
try
{
check(A, L.Multiply(L.Transpose()));
try_success("CholeskyDecomposition...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "CholeskyDecomposition...", "incorrect Cholesky decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
X = Chol.Solve(GeneralMatrix.Identity(3, 3));
try
{
check(A.Multiply(X), GeneralMatrix.Identity(3, 3));
try_success("CholeskyDecomposition Solve()...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "CholeskyDecomposition Solve()...", "incorrect Choleskydecomposition Solve calculation");
System.Console.Out.WriteLine(e.Message);
}
EigenvalueDecomposition Eig = A.Eigen();
GeneralMatrix D = Eig.D;
GeneralMatrix V = Eig.GetV();
try
{
check(A.Multiply(V), V.Multiply(D));
try_success("EigenvalueDecomposition (symmetric)...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "EigenvalueDecomposition (symmetric)...", "incorrect symmetric Eigenvalue decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
A = new GeneralMatrix(evals);
Eig = A.Eigen();
D = Eig.D;
V = Eig.GetV();
try
{
check(A.Multiply(V), V.Multiply(D));
try_success("EigenvalueDecomposition (nonsymmetric)...", "");
}
catch (System.SystemException e)
{
errorCount = try_failure(errorCount, "EigenvalueDecomposition (nonsymmetric)...", "incorrect nonsymmetric Eigenvalue decomposition calculation");
System.Console.Out.WriteLine(e.Message);
}
print("\nTestMatrix completed.\n");
print("Total errors reported: " + System.Convert.ToString(errorCount) + "\n");
print("Total warnings reported: " + System.Convert.ToString(warningCount) + "\n");
}
