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//#define WANT_STREAM
#include "include.h"
#include "newmat.h"
#include "tmt.h"
#ifdef use_namespace
using namespace NEWMAT;
#endif
/**************************** test program ******************************/
void trymat4()
{
// cout << "\nFourth test of Matrix package\n";
Tracer et("Fourth test of Matrix package");
Tracer::PrintTrace();
int i,j;
{
Tracer et1("Stage 1");
Matrix M(10,10);
UpperTriangularMatrix U(10);
for (i=1;i<=10;i++) for (j=1;j<=10;j++) M(i,j) = 100*i+j;
U << -M;
Matrix X1 = M.Rows(2,4);
Matrix Y1 = U.t().Rows(2,4);
Matrix X = U; { Print(Matrix(X.Columns(2,4).t()-Y1)); }
RowVector RV = M.Row(5);
{
X.ReSize(3,10);
X.Row(1) << M.Row(2); X.Row(2) << M.Row(3); X.Row(3) << M.Row(4);
Print(Matrix(X-X1));
}
{
UpperTriangularMatrix V = U.SymSubMatrix(3,5);
Matrix MV = U.SubMatrix(3,5,3,5); { Print(Matrix(MV-V)); }
Matrix X2 = M.t().Columns(2,4); { Print(Matrix(X2-X1.t())); }
Matrix Y2 = U.Columns(2,4); { Print(Matrix(Y2-Y1.t())); }
ColumnVector CV = M.t().Column(5); { Print(ColumnVector(CV-RV.t())); }
X.ReSize(10,3); M = M.t();
X.Column(1) << M.Column(2); X.Column(2) << M.Column(3);
X.Column(3) << M.Column(4);
Print(Matrix(X-X2));
}
}
{
Tracer et1("Stage 2");
Matrix M; Matrix X; M.ReSize(5,8);
for (i=1;i<=5;i++) for (j=1;j<=8;j++) M(i,j) = 100*i+j;
{
X = M.Columns(5,8); M.Columns(5,8) << M.Columns(1,4);
M.Columns(1,4) << X;
X = M.Columns(3,4); M.Columns(3,4) << M.Columns(1,2);
M.Columns(1,2) << X;
X = M.Columns(7,8); M.Columns(7,8) << M.Columns(5,6);
M.Columns(5,6) << X;
}
{
X = M.Column(2); M.Column(2) = M.Column(1); M.Column(1) = X;
X = M.Column(4); M.Column(4) = M.Column(3); M.Column(3) = X;
X = M.Column(6); M.Column(6) = M.Column(5); M.Column(5) = X;
X = M.Column(8); M.Column(8) = M.Column(7); M.Column(7) = X;
X.ReSize(5,8);
}
for (i=1;i<=5;i++) for (j=1;j<=8;j++) X(i,9-j) = 100*i+j;
Print(Matrix(X-M));
}
{
Tracer et1("Stage 3");
// try submatrices of zero dimension
Matrix A(4,5); Matrix B, C;
for (i=1; i<=4; i++) for (j=1; j<=5; j++)
A(i,j) = 100+i*10+j;
B = A + 100;
C = A | B.Columns(4,3); Print(Matrix(A - C));
C = A | B.Columns(1,0); Print(Matrix(A - C));
C = A | B.Columns(6,5); Print(Matrix(A - C));
C = A & B.Rows(2,1); Print(Matrix(A - C));
}
{
Tracer et1("Stage 4");
BandMatrix BM(5,3,2);
BM(1,1) = 1; BM(1,2) = 2; BM(1,3) = 3;
BM(2,1) = 4; BM(2,2) = 5; BM(2,3) = 6; BM(2,4) = 7;
BM(3,1) = 8; BM(3,2) = 9; BM(3,3) =10; BM(3,4) =11; BM(3,5) =12;
BM(4,1) =13; BM(4,2) =14; BM(4,3) =15; BM(4,4) =16; BM(4,5) =17;
BM(5,2) =18; BM(5,3) =19; BM(5,4) =20; BM(5,5) =21;
SymmetricBandMatrix SM(5,3);
SM.Inject(BandMatrix(BM + BM.t()));
Matrix A = BM + 1;
Matrix M = A + A.t() - 2;
Matrix C = A.i() * BM;
C = A * C - BM; Clean(C, 0.000000001); Print(C);
C = A.i() * SM;
C = A * C - M; Clean(C, 0.000000001); Print(C);
// check row-wise load
BandMatrix BM1(5,3,2);
BM1.Row(1) << 1 << 2 << 3;
BM1.Row(2) << 4 << 5 << 6 << 7;
BM1.Row(3) << 8 << 9 << 10 << 11 << 12;
BM1.Row(4) << 13 << 14 << 15 << 16 << 17;
BM1.Row(5) << 18 << 19 << 20 << 21;
Matrix M1 = BM1 - BM; Print(M1);
}
{
Tracer et1("Stage 5");
Matrix X(4,4);
X << 1 << 2 << 3 << 4
<< 5 << 6 << 7 << 8
<< 9 <<10 <<11 <<12
<<13 <<14 <<15 <<16;
Matrix Y(4,0);
Y = X | Y;
X -= Y; Print(X);
DiagonalMatrix D(1);
D << 23; // matrix input with just one value
D(1) -= 23; Print(D);
}
{
Tracer et1("Stage 6");
Matrix h (2,2);
h << 1.0 << 2.0 << 0.0 << 1.0 ;
RowVector c(2);
c << 0.0 << 1.0;
h -= c & c;
h -= c.t().Reverse() | c.Reverse().t();
Print(h);
}
{
Tracer et1("Stage 7");
// Check row-wise input for diagonal matrix
DiagonalMatrix D(4);
D << 18 << 23 << 31 << 17;
DiagonalMatrix D1(4);
D1.Row(1) << 18; D1.Row(2) << 23; D1.Row(3) << 31; D1.Row(4) << 17;
D1 -= D; Print(D1);
D1(1) = 18; D1(2) = 23; D1(3) = 31; D1(4) = 17;
D1 -= D; Print(D1);
}
// cout << "\nEnd of fourth test\n";
}
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