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00010 #include "include.h"
00011
00012 #include "newmatap.h"
00013
00014
00015 #include "tmt.h"
00016
00017 #ifdef use_namespace
00018 using namespace NEWMAT;
00019 #endif
00020
00021
00022 void trymatj()
00023 {
00024 Tracer et("Nineteenth test of Matrix package");
00025 Tracer::PrintTrace();
00026
00027
00028 {
00029 Tracer et1("Stage 1");
00030 Matrix A(13,7), B(13,7), C(13,7);
00031 int i,j;
00032 for (i=1;i<=13;i++) for (j=1; j<=7; j++)
00033 {
00034 Real a = (i+j*j)/2, b = (i*j-i/4);
00035 A(i,j)=a; B(i,j)=b; C(i,j)=a*b;
00036 }
00037
00038 Matrix X = SP(A,B)-C; Print(X);
00039 X = SP(A,B+1.0)-A-C; Print(X);
00040 X = SP(A-1,B)+B-C; Print(X);
00041 X = SP(A-1,B+1)+B-A-C+1; Print(X);
00042
00043 A = A.Rows(7,13); B = B.Rows(7,13); C = C.Rows(7,13);
00044 LowerTriangularMatrix LTA; LTA << A;
00045 UpperTriangularMatrix UTB; UTB << B;
00046 DiagonalMatrix DC; DC << C;
00047 X = SP(LTA,UTB) - DC; Print(X);
00048 X = SP(LTA*2,UTB) - DC*2; Print(X);
00049 X = SP(LTA, UTB /2) - DC/2; Print(X);
00050 X = SP(LTA/2, UTB*2) - DC; Print(X);
00051 DiagonalMatrix DX;
00052 DX << SP(A,B); DX << (DX-C); Print(DX);
00053 DX << SP(A*4,B); DX << (DX-C*4); Print(DX);
00054 DX << SP(A,B*2); DX << (DX-C*2); Print(DX);
00055 DX << SP(A/4,B/4); DX << (DX-C/16); Print(DX);
00056 LowerTriangularMatrix LX;
00057 LX = SP(LTA,B); LX << (LX-C); Print(LX);
00058 LX = SP(LTA*3,B); LX << (LX-C*3); Print(LX);
00059 LX = SP(LTA,B*5); LX << (LX-C*5); Print(LX);
00060 LX = SP(-LTA,-B); LX << (LX-C); Print(LX);
00061 }
00062 {
00063
00064 Tracer et1("Stage 2");
00065 SymmetricMatrix A(25), B(25), C(25);
00066 int i,j;
00067 for (i=1;i<=25;i++) for (j=i;j<=25;j++)
00068 {
00069 Real a = i*j +i - j + 3;
00070 Real b = i * i + j;
00071 A(i,j)=a; B(i,j)=b; C(i,j)=a*b;
00072 }
00073 UpperTriangularMatrix UT;
00074 UT << SP(A,B); UT << (UT - C); Print(UT);
00075 Matrix MA = A, X;
00076 X = SP(MA,B)-C; Print(X);
00077 X = SP(A,B)-C; Print(X);
00078 SymmetricBandMatrix BA(25,5), BB(25,5), BC(25,5);
00079 BA.Inject(A); BB.Inject(B); BC.Inject(C);
00080 X = SP(BA,BB)-BC; Print(X);
00081 X = SP(BA*7,BB)-BC*7; Print(X);
00082 X = SP(BA,BB/8)-BC/8; Print(X);
00083 X = SP(BA*16,BB/16)-BC; Print(X);
00084 X = SP(BA,BB); X=X-BC; Print(X);
00085 X = SP(BA*2, BB/2)-BC; Print(X);
00086 X = SP(BA, BB/2)-BC/2; Print(X);
00087 X = SP(BA*2, BB)-BC*2; Print(X);
00088 }
00089 {
00090
00091 Tracer et1("Stage 3");
00092 Matrix A(19,19), B(19,19), C(19,19);
00093 int i,j;
00094 for (i=1;i<=19;i++) for (j=1;j<=19;j++)
00095 {
00096 Real a = i*j +i - 1.5*j + 3;
00097 Real b = i * i + j;
00098 A(i,j)=a; B(i,j)=b; C(i,j)=a*b;
00099 }
00100 BandMatrix BA(19,10,7), BB(19,8,15), BC(19,8,7);
00101 BA.Inject(A); BB.Inject(B); BC.Inject(C);
00102 Matrix X; BandMatrix BX; ColumnVector BW(2);
00103 X = SP(BA,BB); X=X-BC; Print(X);
00104 X = SP(BA/8,BB); X=X-BC/8; Print(X);
00105 X = SP(BA,BB*17); X=X-BC*17; Print(X);
00106 X = SP(BA/4,BB*7); X=X-BC*7/4; Print(X);
00107 X = SP(BA,BB)-BC; Print(X);
00108 X = SP(BA/8,BB)-BC/8; Print(X);
00109 X = SP(BA,BB*17)-BC*17; Print(X);
00110 X = SP(BA/4,BB*7)-BC*7/4; Print(X);
00111 BX = SP(BA,BB);
00112 BW(1)=BX.upper_val-7; BW(2)=BX.lower_val-8; Print(BW);
00113
00114 BA.ReSize(19,7,10); BB.ReSize(19,15,8);
00115 BC.ReSize(19,7,8);
00116 BA.Inject(A); BB.Inject(B); BC.Inject(C);
00117
00118 X = SP(BA,BB); X=X-BC; Print(X);
00119 X = SP(BA/8,BB); X=X-BC/8; Print(X);
00120 X = SP(BA,BB*17); X=X-BC*17; Print(X);
00121 X = SP(BA/4,BB*7); X=X-BC*7/4; Print(X);
00122 X = SP(BA,BB)-BC; Print(X);
00123 X = SP(BA/8,BB)-BC/8; Print(X);
00124 X = SP(BA,BB*17)-BC*17; Print(X);
00125 X = SP(BA/4,BB*7)-BC*7/4; Print(X);
00126 BX = SP(BA,BB);
00127 BW(1)=BX.upper_val-8; BW(2)=BX.lower_val-7; Print(BW);
00128 }
00129 {
00130
00131 Tracer et1("Stage 4");
00132 Matrix A(7,7), B(7,7);
00133 int i,j;
00134 for (i=1;i<=7;i++) for (j=1;j<=7;j++)
00135 {
00136 Real a = i*j +i - 1.5*j + 3;
00137 Real b = i * i + j;
00138 A(i,j)=a; B(i,j)=b;
00139 }
00140 BandMatrix BA(7,2,4), BB(7,3,1), BC(7,2,1);
00141 BA.Inject(A);
00142 SymmetricBandMatrix SB(7,3);
00143 SymmetricMatrix S; S << (B+B.t());
00144 SB.Inject(S); A = BA; S = SB;
00145 Matrix X;
00146 X = SP(BA,SB); X=X-SP(A,S); Print(X);
00147 X = SP(BA*2,SB); X=X-SP(A,S*2); Print(X);
00148 X = SP(BA,SB/4); X=X-SP(A/4,S); Print(X);
00149 X = SP(BA*4,SB/4); X=X-SP(A,S); Print(X);
00150 X = SP(BA,SB)-SP(A,S); Print(X);
00151 X = SP(BA*2,SB)-SP(A,S*2); Print(X);
00152 X = SP(BA,SB/4)-SP(A/4,S); Print(X);
00153 X = SP(BA*4,SB/4)-SP(A,S); Print(X);
00154 }
00155
00156 }
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00158