207 lines
6.4 KiB
Text
207 lines
6.4 KiB
Text
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#define WANT_STREAM
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#include "include.h"
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#include "newmat.h"
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#include "tmt.h"
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#ifdef use_namespace
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using namespace NEWMAT;
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#endif
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/**************************** test program ******************************/
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void trymat1()
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{
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// cout << "\nFirst test of Matrix package\n\n";
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Tracer et("First test of Matrix package");
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Tracer::PrintTrace();
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{
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Tracer et1("Stage 1");
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int i,j;
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LowerTriangularMatrix L(10);
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for (i=1;i<=10;i++) for (j=1;j<=i;j++) L(i,j)=2.0+i*i+j;
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SymmetricMatrix S(10);
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for (i=1;i<=10;i++) for (j=1;j<=i;j++) S(i,j)=i*j+1.0;
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SymmetricMatrix S1 = S / 2.0;
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S = S1 * 2.0;
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UpperTriangularMatrix U=L.t()*2.0;
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Print(LowerTriangularMatrix(L-U.t()*0.5));
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DiagonalMatrix D(10);
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for (i=1;i<=10;i++) D(i,i)=(i-4)*(i-5)*(i-6);
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Matrix M=(S+U-D+L)*(L+U-D+S);
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DiagonalMatrix DD=D*D;
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LowerTriangularMatrix LD=L*D;
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// expressions split for Turbo C
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Matrix M1 = S*L + U*L - D*L + L*L + 10.0;
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{ M1 = M1 + S*U + U*U - D*U + L*U - S*D; }
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{ M1 = M1 - U*D + DD - LD + S*S; }
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{ M1 = M1 + U*S - D*S + L*S - 10.0; }
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M=M1-M;
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Print(M);
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}
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{
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Tracer et1("Stage 2");
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int i,j;
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LowerTriangularMatrix L(9);
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for (i=1;i<=9;i++) for (j=1;j<=i;j++) L(i,j)=1.0+j;
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UpperTriangularMatrix U1(9);
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for (j=1;j<=9;j++) for (i=1;i<=j;i++) U1(i,j)=1.0+i;
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LowerTriangularMatrix LX(9);
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for (i=1;i<=9;i++) for (j=1;j<=i;j++) LX(i,j)=1.0+i*i;
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UpperTriangularMatrix UX(9);
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for (j=1;j<=9;j++) for (i=1;i<=j;i++) UX(i,j)=1.0+j*j;
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{
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L=L+LX/0.5; L=L-LX*3.0; L=LX*2.0+L;
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U1=U1+UX*2.0; U1=U1-UX*3.0; U1=UX*2.0+U1;
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}
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SymmetricMatrix S(9);
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for (i=1;i<=9;i++) for (j=1;j<=i;j++) S(i,j)=i*i+j;
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{
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SymmetricMatrix S1 = S;
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S=S1+5.0;
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S=S-3.0;
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}
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DiagonalMatrix D(9);
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for (i=1;i<=9;i++) D(i,i)=S(i,i);
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UpperTriangularMatrix U=L.t()*2.0;
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{
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U1=U1*2.0 - U; Print(U1);
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L=L*2.0-D; U=U-D;
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}
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Matrix M=U+L; S=S*2.0; M=S-M; Print(M);
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}
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{
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Tracer et1("Stage 3");
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int i,j;
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Matrix M(10,3), N(10,3);
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for (i = 1; i<=10; i++) for (j = 1; j<=3; j++)
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{ M(i,j) = 2*i-j; N(i,j) = i*j + 20; }
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Matrix MN = M + N, M1;
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M1 = M; M1 += N; M1 -= MN; Print(M1);
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M1 = M; M1 += M1; M1 = M1 - M * 2; Print(M1);
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M1 = M; M1 += N * 2; M1 -= (MN + N); Print(M1);
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M1 = M; M1 -= M1; Print(M1);
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M1 = M; M1 -= MN + M1; M1 += N + M; Print(M1);
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M1 = M; M1 -= 5; M1 -= M; M1 *= 0.2; M1 = M1 + 1; Print(M1);
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Matrix NT = N.t();
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M1 = M; M1 *= NT; M1 -= M * N.t(); Print(M1);
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M = M * M.t();
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DiagonalMatrix D(10); D = 2;
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M1 = M; M1 += D; M1 -= M; M1 = M1 - D; Print(M1);
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M1 = M; M1 -= D; M1 -= M; M1 = M1 + D; Print(M1);
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M1 = M; M1 *= D; M1 /= 2; M1 -= M; Print(M1);
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SymmetricMatrix SM; SM << M;
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// UpperTriangularMatrix SM; SM << M;
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SM += 10; M1 = SM - M; M1 /=10; M1 = M1 - 1; Print(M1);
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}
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{
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Tracer et1("Stage 4");
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int i,j;
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Matrix M(10,3), N(10,5);
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for (i = 1; i<=10; i++) for (j = 1; j<=3; j++) M(i,j) = 2*i-j;
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for (i = 1; i<=10; i++) for (j = 1; j<=5; j++) N(i,j) = i*j + 20;
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Matrix M1;
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M1 = M; M1 |= N; M1 &= N | M;
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M1 -= (M | N) & (N | M); Print(M1);
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M1 = M; M1 |= M1; M1 &= M1;
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M1 -= (M | M) & (M | M); Print(M1);
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}
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{
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Tracer et1("Stage 5");
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int i,j;
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BandMatrix BM1(10,2,3), BM2(10,4,1); Matrix M1(10,10), M2(10,10);
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for (i=1;i<=10;i++) for (j=1;j<=10;j++)
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{ M1(i,j) = 0.5*i+j*j-50; M2(i,j) = (i*101 + j*103) % 13; }
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BM1.Inject(M1); BM2.Inject(M2);
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BandMatrix BM = BM1; BM += BM2;
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Matrix M1X = BM1; Matrix M2X = BM2; Matrix MX = BM;
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MX -= M1X + M2X; Print(MX);
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MX = BM1; MX += BM2; MX -= M1X; MX -= M2X; Print(MX);
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SymmetricBandMatrix SM1; SM1 << BM1 * BM1.t();
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SymmetricBandMatrix SM2; SM2 << BM2 * BM2.t();
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SM1 *= 5.5;
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M1X *= M1X.t(); M1X *= 5.5; M2X *= M2X.t();
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SM1 -= SM2; M1 = SM1 - M1X + M2X; Print(M1);
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M1 = BM1; BM1 *= SM1; M1 = M1 * SM1 - BM1; Print(M1);
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M1 = BM1; BM1 -= SM1; M1 = M1 - SM1 - BM1; Print(M1);
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M1 = BM1; BM1 += SM1; M1 = M1 + SM1 - BM1; Print(M1);
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}
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{
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Tracer et1("Stage 6");
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int i,j;
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Matrix M(10,10), N(10,10);
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for (i = 1; i<=10; i++) for (j = 1; j<=10; j++)
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{ M(i,j) = 2*i-j; N(i,j) = i*j + 20; }
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GenericMatrix GM = M;
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GM += N; Matrix M1 = GM - N - M; Print(M1);
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DiagonalMatrix D(10); D = 3;
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GM = D; GM += N; GM += M; GM += D;
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M1 = D*2 - GM + M + N; Print(M1);
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GM = D; GM *= 4; GM += 16; GM /= 8; GM -= 2;
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GM -= D / 2; M1 = GM; Print(M1);
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GM = D; GM *= M; GM *= N; GM /= 3; M1 = M*N - GM; Print(M1);
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GM = D; GM |= M; GM &= N | D; M1 = GM - ((D | M) & (N | D));
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Print(M1);
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GM = M; M1 = M; GM += 5; GM *= 3; M *= 3; M += 15; M1 = GM - M;
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Print(M1);
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D.ReSize(10); for (i = 1; i<=10; i++) D(i) = i;
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M1 = D + 10; GM = D; GM += 10; M1 -= GM; Print(M1);
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GM = M; GM -= D; M1 = GM; GM = D; GM -= M; M1 += GM; Print(M1);
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GM = M; GM *= D; M1 = GM; GM = D; GM *= M.t();
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M1 -= GM.t(); Print(M1);
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GM = M; GM += 2 * GM; GM -= 3 * M; M1 = GM; Print(M1);
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GM = M; GM |= GM; GM -= (M | M); M1 = GM; Print(M1);
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GM = M; GM &= GM; GM -= (M & M); M1 = GM; Print(M1);
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M1 = M; M1 = (M1.t() & M.t()) - (M | M).t(); Print(M1);
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M1 = M; M1 = (M1.t() | M.t()) - (M & M).t(); Print(M1);
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}
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{
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Tracer et1("Stage 7");
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// test for bug in MS VC5
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int n = 3;
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int k; int j;
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Matrix A(n,n), B(n,n);
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//first version - MS VC++ 5 mis-compiles if optimisation is on
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for (k=1; k<=n; k++)
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{
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for (j = 1; j <= n; j++) A(k,j) = ((k-1) * (2*j-1));
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}
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//second version
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for (k=1; k<=n; k++)
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{
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const int k1 = k-1; // otherwise Visual C++ 5 fails
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for (j = 1; j <= n; j++) B(k,j) = (k1 * (2*j-1));
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}
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if (A != B)
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{
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cout << "\nVisual C++ version 5 compiler error?";
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cout << "\nTurn off optimisation";
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}
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A -= B; Print(A);
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}
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// cout << "\nEnd of first test\n";
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}
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