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00010 #include "include.h"
00011
00012 #include "newmat.h"
00013
00014 #include "tmt.h"
00015
00016 #ifdef use_namespace
00017 using namespace NEWMAT;
00018 #endif
00019
00020
00021
00022 void c_matrix_multiply(int p, int q, int r,
00023 const Real** a, const Real** b, Real** c)
00024 {
00025 for (int i = 0; i < p; ++i) for (int k = 0; k < r; ++k)
00026 {
00027 Real sum = 0.0;
00028 for (int j = 0; j < q; ++j) sum += a[i][j] * b[j][k];
00029 c[i][k] = sum;
00030 }
00031 }
00032
00033
00034
00035 void trymat7()
00036 {
00037
00038 Tracer et("Seventh test of Matrix package");
00039 Tracer::PrintTrace();
00040
00041 int i,j;
00042
00043
00044 DiagonalMatrix D(6);
00045 UpperTriangularMatrix U(6);
00046 for (i=1;i<=6;i++) { for (j=i;j<=6;j++) U(i,j)=i*i*j-50; D(i,i)=i*i+i-10; }
00047 LowerTriangularMatrix L=(U*3.0).t();
00048 SymmetricMatrix S(6);
00049 for (i=1;i<=6;i++) for (j=i;j<=6;j++) S(i,j)=i*i+2.0+j;
00050 Matrix MD=D; Matrix ML=L; Matrix MU=U;
00051 Matrix MS=S;
00052 Matrix M(6,6);
00053 for (i=1;i<=6;i++) for (j=1;j<=6;j++) M(i,j)=i*j+i*i-10.0;
00054 {
00055 Tracer et1("Stage 1");
00056 Print(Matrix((S-M)-(MS-M)));
00057 Print(Matrix((-M-S)+(MS+M)));
00058 Print(Matrix((U-M)-(MU-M)));
00059 }
00060 {
00061 Tracer et1("Stage 2");
00062 Print(Matrix((L-M)+(M-ML)));
00063 Print(Matrix((D-M)+(M-MD)));
00064 Print(Matrix((D-S)+(MS-MD)));
00065 Print(Matrix((D-L)+(ML-MD)));
00066 }
00067
00068 { M=MU.t(); }
00069 LowerTriangularMatrix LY=D.i()*U.t();
00070 {
00071 Tracer et1("Stage 3");
00072 MS=D*LY-M; Clean(MS,0.00000001); Print(MS);
00073 L=U.t();
00074 LY=D.i()*L; MS=D*LY-M; Clean(MS,0.00000001); Print(MS);
00075 }
00076 {
00077 Tracer et1("Stage 4");
00078 UpperTriangularMatrix UT(11);
00079 int i, j;
00080 for (i=1;i<=11;i++) for (j=i;j<=11;j++) UT(i,j)=i*i+j*3;
00081 GenericMatrix GM; Matrix X;
00082 UpperBandMatrix UB(11,3); UB.Inject(UT); UT = UB;
00083 UpperBandMatrix UB2 = UB / 8;
00084 GM = UB2-UT/8; X = GM; Print(X);
00085 SymmetricBandMatrix SB(11,4); SB << (UB + UB.t());
00086 X = SB - UT - UT.t(); Print(X);
00087 BandMatrix B = UB + UB.t()*2;
00088 DiagonalMatrix D; D << B;
00089 X.ReSize(1,1); X(1,1) = Trace(B)-Sum(D); Print(X);
00090 X = SB + 5; Matrix X1=X; X = SP(UB,X); Matrix X2 =UB;
00091 X1 = (X1.AsDiagonal() * X2.AsDiagonal()).AsRow()-X.AsColumn().t();
00092 Print(X1);
00093 X1=SB.t(); X2 = B.t(); X = SB.i() * B - X1.i() * X2.t();
00094 Clean(X,0.00000001); Print(X);
00095 X = SB.i(); X = X * B - X1.i() * X2.t();
00096 Clean(X,0.00000001); Print(X);
00097 D = 1; X = SB.i() * SB - D; Clean(X,0.00000001); Print(X);
00098 ColumnVector CV(11);
00099 CV << 2 << 6 <<3 << 8 << -4 << 17.5 << 2 << 1 << -2 << 5 << 3.75;
00100 D << 2 << 6 <<3 << 8 << -4 << 17.5 << 2 << 1 << -2 << 5 << 3.75;
00101 X = CV.AsDiagonal(); X = X-D; Print(X);
00102 SymmetricBandMatrix SB1(11,7); SB1 = 5;
00103 SymmetricBandMatrix SB2 = SB1 + D;
00104 X.ReSize(11,11); X=0;
00105 for (i=1;i<=11;i++) for (j=1;j<=11;j++)
00106 {
00107 if (abs(i-j)<=7) X(i,j)=5;
00108 if (i==j) X(i,j)+=CV(i);
00109 }
00110 SymmetricMatrix SM; SM.ReSize(11);
00111 SM=SB; SB = SB+SB2; X1 = SM+X-SB; Print(X1);
00112 SB2=0; X2=SB2; X1=SB; Print(X2);
00113 for (i=1;i<=11;i++) SB2.Column(i)<<SB.Column(i);
00114 X1=X1-SB2; Print(X1);
00115 X = SB; SB2.ReSize(11,4); SB2 = SB*5; SB2 = SB + SB2;
00116 X1 = X*6 - SB2; Print(X1);
00117 X1 = SP(SB,SB2/3); X1=X1-SP(X,X*2); Print(X1);
00118 X1 = SP(SB2/6,X*2); X1=X1-SP(X*2,X); Print(X1);
00119 }
00120
00121 {
00122
00123 Tracer et("Stage 5");
00124 ColumnVector Test(10); Test = 0.0;
00125 int i;
00126 SimpleIntArray A(100);
00127 for (i = 0; i < 100; i++) A[i] = i*i+1;
00128 SimpleIntArray B(100), C(50), D;
00129 B = A; A.ReSize(50, true); C = A; A.ReSize(150, true); D = A;
00130 for (i = 0; i < 100; i++) if (B[i] != i*i+1) Test(1)=1;
00131 for (i = 0; i < 50; i++) if (C[i] != i*i+1) Test(2)=1;
00132 for (i = 0; i < 50; i++) if (D[i] != i*i+1) Test(3)=1;
00133 for (i = 50; i < 150; i++) if (D[i] != 0) Test(3)=1;
00134 A.resize(75); A = A.size();
00135 for (i = 0; i < 75; i++) if (A[i] != 75) Test(4)=1;
00136 A.resize(25); A = A.size();
00137 for (i = 0; i < 25; i++) if (A[i] != 25) Test(5)=1;
00138 A.ReSize(25); A = 23;
00139 for (i = 0; i < 25; i++) if (A[i] != 23) Test(6)=1;
00140 A.ReSize(0); A.ReSize(15); A = A.Size();
00141 for (i = 0; i < 15; i++) if (A[i] != 15) Test(7)=1;
00142 const SimpleIntArray E = B;
00143 for (i = 0; i < 100; i++) if (E[i] != i*i+1) Test(8)=1;
00144 SimpleIntArray F; F.resize_keep(5);
00145 for (i = 0; i < 5; i++) if (F[i] != 0) Test(9)=1;
00146 Print(Test);
00147 }
00148
00149 {
00150
00151 Tracer et("Stage 6");
00152 MultWithCarry MWC;
00153
00154 Matrix A(10, 12), B(12, 15), C(10, 15);
00155 FillWithValues(MWC, A); FillWithValues(MWC, B);
00156 ConstRealStarStar a(A);
00157 ConstRealStarStar b(B);
00158 RealStarStar c(C);
00159 c_matrix_multiply(10,12,15,a,b,c);
00160 Matrix X = C - A * B; Clean(X,0.00000001); Print(X);
00161 A.ReSize(11, 10); B.ReSize(10,8); C.ReSize(11,8);
00162 FillWithValues(MWC, A); FillWithValues(MWC, B);
00163 C = -1;
00164 c_matrix_multiply(11,10,8,
00165 ConstRealStarStar(A),ConstRealStarStar(B),RealStarStar(C));
00166 X = C - A * B; Clean(X,0.00000001); Print(X);
00167 }
00168
00169 {
00170
00171 Tracer et("Stage 7");
00172 Matrix X, Y;
00173 MultWithCarry MWC;
00174
00175 X.resize(20,35); FillWithValues(MWC, X);
00176 Matrix M(20,35); M = X;
00177 X = M.submatrix(1,15,1,25);
00178 M.resize_keep(15,25); Y = X - M; Print(Y);
00179 M.resize_keep(15,25); Y = X - M; Print(Y);
00180 Y.resize(29,27); Y = 0; Y.submatrix(1,15,1,25) = X;
00181 M.resize_keep(29,27); Y -= M; Print(Y);
00182 M.resize_keep(0,5); M.resize_keep(10,10); Print(M);
00183 M.resize_keep(15,0); M.resize_keep(10,10); Print(M);
00184
00185 X.resize(20,35); FillWithValues(MWC, X);
00186 M = X;
00187 M.resize_keep(38,17);
00188 Y.resize(38,17); Y = 0;
00189 Y.submatrix(1,20,1,17) = X.submatrix(1,20,1,17);
00190 Y -= M; Print(Y);
00191
00192 X.resize(40,12); FillWithValues(MWC, X);
00193 M = X;
00194 M.resize_keep(38,17);
00195 Y.resize(38,17); Y = 0;
00196 Y.submatrix(1,38,1,12) = X.submatrix(1,38,1,12);
00197 Y -= M; Print(Y);
00198
00199 #ifndef DONT_DO_NRIC
00200
00201 X.resize(20,35); FillWithValues(MWC, X);
00202 nricMatrix nM(20,35); nM = X;
00203 X = nM.submatrix(1,15,1,25);
00204 nM.resize_keep(15,25); Y = X - nM; Print(Y);
00205 nM.resize_keep(15,25); Y = X - nM; Print(Y);
00206 Y.resize(29,27); Y = 0; Y.submatrix(1,15,1,25) = X;
00207 nM.resize_keep(29,27); Y -= nM; Print(Y);
00208 nM.resize_keep(0,5); nM.resize_keep(10,10); Print(nM);
00209 nM.resize_keep(15,0); nM.resize_keep(10,10); Print(nM);
00210
00211 X.resize(20,35); FillWithValues(MWC, X);
00212 nM = X;
00213 nM.resize_keep(38,17);
00214 Y.resize(38,17); Y = 0;
00215 Y.submatrix(1,20,1,17) = X.submatrix(1,20,1,17);
00216 Y -= nM; Print(Y);
00217
00218 X.resize(40,12); FillWithValues(MWC, X);
00219 nM = X;
00220 nM.resize_keep(38,17);
00221 Y.resize(38,17); Y = 0;
00222 Y.submatrix(1,38,1,12) = X.submatrix(1,38,1,12);
00223 Y -= nM; Print(Y);
00224
00225 #endif
00226
00227 X.resize(20,20); FillWithValues(MWC, X);
00228 SquareMatrix SQM(20); SQM << X;
00229 X = SQM.sym_submatrix(1,13);
00230 SQM.resize_keep(13); Y = X - SQM; Print(Y);
00231 SQM.resize_keep(13); Y = X - SQM; Print(Y);
00232 Y.resize(23,23); Y = 0; Y.sym_submatrix(1,13) = X;
00233 SQM.resize_keep(23,23); Y -= SQM; Print(Y);
00234 SQM.resize_keep(0); SQM.resize_keep(50); Print(SQM);
00235
00236 X.resize(20,20); FillWithValues(MWC, X);
00237 SymmetricMatrix SM(20); SM << X;
00238 X = SM.sym_submatrix(1,13);
00239 SM.resize_keep(13); Y = X - SM; Print(Y);
00240 SM.resize_keep(13); Y = X - SM; Print(Y);
00241 Y.resize(23,23); Y = 0; Y.sym_submatrix(1,13) = X;
00242 SM.resize_keep(23); Y -= SM; Print(Y);
00243 SM.resize_keep(0); SM.resize_keep(50); Print(SM);
00244
00245 X.resize(20,20); FillWithValues(MWC, X);
00246 LowerTriangularMatrix LT(20); LT << X;
00247 X = LT.sym_submatrix(1,13);
00248 LT.resize_keep(13); Y = X - LT; Print(Y);
00249 LT.resize_keep(13); Y = X - LT; Print(Y);
00250 Y.resize(23,23); Y = 0; Y.sym_submatrix(1,13) = X;
00251 LT.resize_keep(23); Y -= LT; Print(Y);
00252 LT.resize_keep(0); LT.resize_keep(50); Print(LT);
00253
00254 X.resize(20,20); FillWithValues(MWC, X);
00255 UpperTriangularMatrix UT(20); UT << X;
00256 X = UT.sym_submatrix(1,13);
00257 UT.resize_keep(13); Y = X - UT; Print(Y);
00258 UT.resize_keep(13); Y = X - UT; Print(Y);
00259 Y.resize(23,23); Y = 0; Y.sym_submatrix(1,13) = X;
00260 UT.resize_keep(23); Y -= UT; Print(Y);
00261 UT.resize_keep(0); UT.resize_keep(50); Print(UT);
00262
00263 X.resize(20,20); FillWithValues(MWC, X);
00264 DiagonalMatrix DM(20); DM << X;
00265 X = DM.sym_submatrix(1,13);
00266 DM.resize_keep(13); Y = X - DM; Print(Y);
00267 DM.resize_keep(13); Y = X - DM; Print(Y);
00268 Y.resize(23,23); Y = 0; Y.sym_submatrix(1,13) = X;
00269 DM.resize_keep(23); Y -= DM; Print(Y);
00270 DM.resize_keep(0); DM.resize_keep(50); Print(DM);
00271
00272 X.resize(1,20); FillWithValues(MWC, X);
00273 RowVector RV(20); RV << X;
00274 X = RV.columns(1,13);
00275 RV.resize_keep(13); Y = X - RV; Print(Y);
00276 RV.resize_keep(13); Y = X - RV; Print(Y);
00277 Y.resize(1,23); Y = 0; Y.columns(1,13) = X;
00278 RV.resize_keep(1,23); Y -= RV; Print(Y);
00279 RV.resize_keep(0); RV.resize_keep(50); Print(RV);
00280
00281 X.resize(20,1); FillWithValues(MWC, X);
00282 ColumnVector CV(20); CV << X;
00283 X = CV.rows(1,13);
00284 CV.resize_keep(13); Y = X - CV; Print(Y);
00285 CV.resize_keep(13); Y = X - CV; Print(Y);
00286 Y.resize(23,1); Y = 0; Y.rows(1,13) = X;
00287 CV.resize_keep(23,1); Y -= CV; Print(Y);
00288 CV.resize_keep(0); CV.resize_keep(50); Print(CV);
00289
00290
00291 }
00292
00293
00294
00295 }
00296
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00298