00001
00002 #define WANT_STREAM
00003
00004
00005
00006 #include "include.h"
00007
00008 #include "newmat.h"
00009
00010 #include "tmt.h"
00011
00012 #ifdef use_namespace
00013 using namespace NEWMAT;
00014 #endif
00015
00016
00017
00018
00019
00020 void trymat1()
00021 {
00022
00023 Tracer et("First test of Matrix package");
00024 Tracer::PrintTrace();
00025 {
00026 Tracer et1("Stage 1");
00027 int i,j;
00028
00029 LowerTriangularMatrix L(10);
00030 for (i=1;i<=10;i++) for (j=1;j<=i;j++) L(i,j)=2.0+i*i+j;
00031 SymmetricMatrix S(10);
00032 for (i=1;i<=10;i++) for (j=1;j<=i;j++) S(i,j)=i*j+1.0;
00033 SymmetricMatrix S1 = S / 2.0;
00034 S = S1 * 2.0;
00035 UpperTriangularMatrix U=L.t()*2.0;
00036 Print(LowerTriangularMatrix(L-U.t()*0.5));
00037 DiagonalMatrix D(10);
00038 for (i=1;i<=10;i++) D(i,i)=(i-4)*(i-5)*(i-6);
00039 Matrix M=(S+U-D+L)*(L+U-D+S);
00040 DiagonalMatrix DD=D*D;
00041 LowerTriangularMatrix LD=L*D;
00042
00043 Matrix M1 = S*L + U*L - D*L + L*L + 10.0;
00044 { M1 = M1 + S*U + U*U - D*U + L*U - S*D; }
00045 { M1 = M1 - U*D + DD - LD + S*S; }
00046 { M1 = M1 + U*S - D*S + L*S - 10.0; }
00047 M=M1-M;
00048 Print(M);
00049 }
00050 {
00051 Tracer et1("Stage 2");
00052 int i,j;
00053
00054 LowerTriangularMatrix L(9);
00055 for (i=1;i<=9;i++) for (j=1;j<=i;j++) L(i,j)=1.0+j;
00056 UpperTriangularMatrix U1(9);
00057 for (j=1;j<=9;j++) for (i=1;i<=j;i++) U1(i,j)=1.0+i;
00058 LowerTriangularMatrix LX(9);
00059 for (i=1;i<=9;i++) for (j=1;j<=i;j++) LX(i,j)=1.0+i*i;
00060 UpperTriangularMatrix UX(9);
00061 for (j=1;j<=9;j++) for (i=1;i<=j;i++) UX(i,j)=1.0+j*j;
00062 {
00063 L=L+LX/0.5; L=L-LX*3.0; L=LX*2.0+L;
00064 U1=U1+UX*2.0; U1=U1-UX*3.0; U1=UX*2.0+U1;
00065 }
00066
00067
00068 SymmetricMatrix S(9);
00069 for (i=1;i<=9;i++) for (j=1;j<=i;j++) S(i,j)=i*i+j;
00070 {
00071 SymmetricMatrix S1 = S;
00072 S=S1+5.0;
00073 S=S-3.0;
00074 }
00075
00076 DiagonalMatrix D(9);
00077 for (i=1;i<=9;i++) D(i,i)=S(i,i);
00078 UpperTriangularMatrix U=L.t()*2.0;
00079 {
00080 U1=U1*2.0 - U; Print(U1);
00081 L=L*2.0-D; U=U-D;
00082 }
00083 Matrix M=U+L; S=S*2.0; M=S-M; Print(M);
00084 }
00085 {
00086 Tracer et1("Stage 3");
00087 int i,j;
00088 Matrix M(10,3), N(10,3);
00089 for (i = 1; i<=10; i++) for (j = 1; j<=3; j++)
00090 { M(i,j) = 2*i-j; N(i,j) = i*j + 20; }
00091 Matrix MN = M + N, M1;
00092
00093 M1 = M; M1 += N; M1 -= MN; Print(M1);
00094 M1 = M; M1 += M1; M1 = M1 - M * 2; Print(M1);
00095 M1 = M; M1 += N * 2; M1 -= (MN + N); Print(M1);
00096 M1 = M; M1 -= M1; Print(M1);
00097 M1 = M; M1 -= MN + M1; M1 += N + M; Print(M1);
00098 M1 = M; M1 -= 5; M1 -= M; M1 *= 0.2; M1 = M1 + 1; Print(M1);
00099 Matrix NT = N.t();
00100 M1 = M; M1 *= NT; M1 -= M * N.t(); Print(M1);
00101 M = M * M.t();
00102 DiagonalMatrix D(10); D = 2;
00103 M1 = M; M1 += D; M1 -= M; M1 = M1 - D; Print(M1);
00104 M1 = M; M1 -= D; M1 -= M; M1 = M1 + D; Print(M1);
00105 M1 = M; M1 *= D; M1 /= 2; M1 -= M; Print(M1);
00106 SymmetricMatrix SM; SM << M;
00107
00108 SM += 10; M1 = SM - M; M1 /=10; M1 = M1 - 1; Print(M1);
00109 }
00110 {
00111 Tracer et1("Stage 4");
00112 int i,j;
00113 Matrix M(10,3), N(10,5);
00114 for (i = 1; i<=10; i++) for (j = 1; j<=3; j++) M(i,j) = 2*i-j;
00115 for (i = 1; i<=10; i++) for (j = 1; j<=5; j++) N(i,j) = i*j + 20;
00116 Matrix M1;
00117 M1 = M; M1 |= N; M1 &= N | M;
00118 M1 -= (M | N) & (N | M); Print(M1);
00119 M1 = M; M1 |= M1; M1 &= M1;
00120 M1 -= (M | M) & (M | M); Print(M1);
00121
00122 }
00123 {
00124 Tracer et1("Stage 5");
00125 int i,j;
00126 BandMatrix BM1(10,2,3), BM2(10,4,1); Matrix M1(10,10), M2(10,10);
00127 for (i=1;i<=10;i++) for (j=1;j<=10;j++)
00128 { M1(i,j) = 0.5*i+j*j-50; M2(i,j) = (i*101 + j*103) % 13; }
00129 BM1.Inject(M1); BM2.Inject(M2);
00130 BandMatrix BM = BM1; BM += BM2;
00131 Matrix M1X = BM1; Matrix M2X = BM2; Matrix MX = BM;
00132 MX -= M1X + M2X; Print(MX);
00133 MX = BM1; MX += BM2; MX -= M1X; MX -= M2X; Print(MX);
00134 SymmetricBandMatrix SM1; SM1 << BM1 * BM1.t();
00135 SymmetricBandMatrix SM2; SM2 << BM2 * BM2.t();
00136 SM1 *= 5.5;
00137 M1X *= M1X.t(); M1X *= 5.5; M2X *= M2X.t();
00138 SM1 -= SM2; M1 = SM1 - M1X + M2X; Print(M1);
00139 M1 = BM1; BM1 *= SM1; M1 = M1 * SM1 - BM1; Print(M1);
00140 M1 = BM1; BM1 -= SM1; M1 = M1 - SM1 - BM1; Print(M1);
00141 M1 = BM1; BM1 += SM1; M1 = M1 + SM1 - BM1; Print(M1);
00142
00143 }
00144 {
00145 Tracer et1("Stage 6");
00146 int i,j;
00147 Matrix M(10,10), N(10,10);
00148 for (i = 1; i<=10; i++) for (j = 1; j<=10; j++)
00149 { M(i,j) = 2*i-j; N(i,j) = i*j + 20; }
00150 GenericMatrix GM = M;
00151 GM += N; Matrix M1 = GM - N - M; Print(M1);
00152 DiagonalMatrix D(10); D = 3;
00153 GM = D; GM += N; GM += M; GM += D;
00154 M1 = D*2 - GM + M + N; Print(M1);
00155 GM = D; GM *= 4; GM += 16; GM /= 8; GM -= 2;
00156 GM -= D / 2; M1 = GM; Print(M1);
00157 GM = D; GM *= M; GM *= N; GM /= 3; M1 = M*N - GM; Print(M1);
00158 GM = D; GM |= M; GM &= N | D; M1 = GM - ((D | M) & (N | D));
00159 Print(M1);
00160 GM = M; M1 = M; GM += 5; GM *= 3; M *= 3; M += 15; M1 = GM - M;
00161 Print(M1);
00162 D.ReSize(10); for (i = 1; i<=10; i++) D(i) = i;
00163 M1 = D + 10; GM = D; GM += 10; M1 -= GM; Print(M1);
00164 GM = M; GM -= D; M1 = GM; GM = D; GM -= M; M1 += GM; Print(M1);
00165 GM = M; GM *= D; M1 = GM; GM = D; GM *= M.t();
00166 M1 -= GM.t(); Print(M1);
00167 GM = M; GM += 2 * GM; GM -= 3 * M; M1 = GM; Print(M1);
00168 GM = M; GM |= GM; GM -= (M | M); M1 = GM; Print(M1);
00169 GM = M; GM &= GM; GM -= (M & M); M1 = GM; Print(M1);
00170 M1 = M; M1 = (M1.t() & M.t()) - (M | M).t(); Print(M1);
00171 M1 = M; M1 = (M1.t() | M.t()) - (M & M).t(); Print(M1);
00172
00173 }
00174
00175 {
00176 Tracer et1("Stage 7");
00177
00178 int n = 3;
00179 int k; int j;
00180 Matrix A(n,n), B(n,n);
00181
00182
00183 for (k=1; k<=n; k++)
00184 {
00185 for (j = 1; j <= n; j++) A(k,j) = ((k-1) * (2*j-1));
00186 }
00187
00188
00189 for (k=1; k<=n; k++)
00190 {
00191 const int k1 = k-1;
00192 for (j = 1; j <= n; j++) B(k,j) = (k1 * (2*j-1));
00193 }
00194
00195 if (A != B)
00196 {
00197 cout << "\nVisual C++ version 5 compiler error?";
00198 cout << "\nTurn off optimisation";
00199 }
00200
00201 A -= B; Print(A);
00202
00203 }
00204
00205
00206 }
00207