//#define WANT_STREAM #include "include.h" #include "newmat.h" #include "tmt.h" #ifdef use_namespace using namespace NEWMAT; #endif void trymatc() { // cout << "\nTwelfth test of Matrix package\n"; Tracer et("Twelfth test of Matrix package"); Tracer::PrintTrace(); DiagonalMatrix D(15); D=1.5; Matrix A(15,15); int i,j; for (i=1;i<=15;i++) for (j=1;j<=15;j++) A(i,j)=i*i+j-150; { A = A + D; } ColumnVector B(15); for (i=1;i<=15;i++) B(i)=i+i*i-150.0; { Tracer et1("Stage 1"); ColumnVector B1=B; B=(A*2.0).i() * B1; Matrix X = A*B-B1/2.0; Clean(X, 0.000000001); Print(X); A.ReSize(3,5); for (i=1; i<=3; i++) for (j=1; j<=5; j++) A(i,j) = i+100*j; B = A.AsColumn()+10000; RowVector R = (A+10000).AsColumn().t(); Print( RowVector(R-B.t()) ); } { Tracer et1("Stage 2"); B = A.AsColumn()+10000; Matrix XR = (A+10000).AsMatrix(15,1).t(); Print( RowVector(XR-B.t()) ); } { Tracer et1("Stage 3"); B = (A.AsMatrix(15,1)+A.AsColumn())/2.0+10000; Matrix MR = (A+10000).AsColumn().t(); Print( RowVector(MR-B.t()) ); B = (A.AsMatrix(15,1)+A.AsColumn())/2.0; MR = A.AsColumn().t(); Print( RowVector(MR-B.t()) ); } { Tracer et1("Stage 4"); B = (A.AsMatrix(15,1)+A.AsColumn())/2.0; RowVector R = A.AsColumn().t(); Print( RowVector(R-B.t()) ); } { Tracer et1("Stage 5"); RowVector R = (A.AsColumn()-5000).t(); B = ((R.t()+10000) - A.AsColumn())-5000; Print( RowVector(B.t()) ); } { Tracer et1("Stage 6"); B = A.AsColumn(); ColumnVector B1 = (A+10000).AsColumn() - 10000; Print(ColumnVector(B1-B)); } { Tracer et1("Stage 7"); Matrix X = B.AsMatrix(3,5); Print(Matrix(X-A)); for (i=1; i<=3; i++) for (j=1; j<=5; j++) B(5*(i-1)+j) -= i+100*j; Print(B); } { Tracer et1("Stage 8"); A.ReSize(7,7); D.ReSize(7); for (i=1; i<=7; i++) for (j=1; j<=7; j++) A(i,j) = i*j*j; for (i=1; i<=7; i++) D(i,i) = i; UpperTriangularMatrix U; U << A; Matrix X = A; for (i=1; i<=7; i++) X(i,i) = i; A.Inject(D); Print(Matrix(X-A)); X = U; U.Inject(D); A = U; for (i=1; i<=7; i++) X(i,i) = i; Print(Matrix(X-A)); } { Tracer et1("Stage 9"); A.ReSize(7,5); for (i=1; i<=7; i++) for (j=1; j<=5; j++) A(i,j) = i+100*j; Matrix Y = A; Y = Y - ((const Matrix&)A); Print(Y); Matrix X = A; // X.Release(); Y = A; Y = ((const Matrix&)X) - A; Print(Y); Y = 0.0; Y = ((const Matrix&)X) - ((const Matrix&)A); Print(Y); } { Tracer et1("Stage 10"); // some tests on submatrices UpperTriangularMatrix U(20); for (i=1; i<=20; i++) for (j=i; j<=20; j++) U(i,j)=100 * i + j; UpperTriangularMatrix V = U.SymSubMatrix(1,5); UpperTriangularMatrix U1 = U; U1.SubMatrix(4,8,5,9) /= 2; U1.SubMatrix(4,8,5,9) += 388 * V; U1.SubMatrix(4,8,5,9) *= 2; U1.SubMatrix(4,8,5,9) += V; U1 -= U; UpperTriangularMatrix U2 = U1; U1 << U1.SubMatrix(4,8,5,9); U2.SubMatrix(4,8,5,9) -= U1; Print(U2); U1 -= (777*V); Print(U1); U1 = U; U1.SubMatrix(4,8,5,9) -= U.SymSubMatrix(1,5); U1 -= U; U2 = U1; U1 << U1.SubMatrix(4,8,5,9); U2.SubMatrix(4,8,5,9) -= U1; Print(U2); U1 += V; Print(U1); U1 = U; U1.SubMatrix(3,10,15,19) += 29; U1 -= U; Matrix X = U1.SubMatrix(3,10,15,19); X -= 29; Print(X); U1.SubMatrix(3,10,15,19) *= 0; Print(U1); LowerTriangularMatrix L = U.t(); LowerTriangularMatrix M = L.SymSubMatrix(1,5); LowerTriangularMatrix L1 = L; L1.SubMatrix(5,9,4,8) /= 2; L1.SubMatrix(5,9,4,8) += 388 * M; L1.SubMatrix(5,9,4,8) *= 2; L1.SubMatrix(5,9,4,8) += M; L1 -= L; LowerTriangularMatrix L2 = L1; L1 << L1.SubMatrix(5,9,4,8); L2.SubMatrix(5,9,4,8) -= L1; Print(L2); L1 -= (777*M); Print(L1); L1 = L; L1.SubMatrix(5,9,4,8) -= L.SymSubMatrix(1,5); L1 -= L; L2 =L1; L1 << L1.SubMatrix(5,9,4,8); L2.SubMatrix(5,9,4,8) -= L1; Print(L2); L1 += M; Print(L1); L1 = L; L1.SubMatrix(15,19,3,10) -= 29; L1 -= L; X = L1.SubMatrix(15,19,3,10); X += 29; Print(X); L1.SubMatrix(15,19,3,10) *= 0; Print(L1); } { Tracer et1("Stage 11"); // more tests on submatrices Matrix M(20,30); for (i=1; i<=20; i++) for (j=1; j<=30; j++) M(i,j)=100 * i + j; Matrix M1 = M; for (j=1; j<=30; j++) { ColumnVector CV = 3 * M1.Column(j); M.Column(j) += CV; } for (i=1; i<=20; i++) { RowVector RV = 5 * M1.Row(i); M.Row(i) -= RV; } M += M1; Print(M); } { Tracer et1("Stage 12"); // more tests on Release Matrix M(20,30); for (i=1; i<=20; i++) for (j=1; j<=30; j++) M(i,j)=100 * i + j; Matrix M1 = M; M.Release(); Matrix M2 = M; Matrix X = M; Print(X); X = M1 - M2; Print(X); #ifndef DONT_DO_NRIC nricMatrix N = M1; nricMatrix N1 = N; N.Release(); nricMatrix N2 = N; nricMatrix Y = N; Print(Y); Y = N1 - N2; Print(Y); #endif } // cout << "\nEnd of twelfth test\n"; }