/*****************************************************************************/
/* noname */
/*****************************************************************************/
//====================================================================[include]
#include <iostream>
#include <cstdlib>
#include <ctime>
#include "cpplapack.h"
using namespace std;
//=======================================================================[main]
/*! main */
int main(int argc, char** argv)
{
srand(time(NULL));
int M(5), N(5), KL(2), KU(3);
CPPL::dsymatrix X(N), Y(N), Z(N);
CPPL::dgbmatrix A(M,N,KL,KU);
A.zero();
X.zero();
Y.zero();
Z.zero();
for(int i=0; i<A.m; i++){
for(int j=CPPL::max(0,i-A.kl); j<CPPL::min(A.n,i+A.ku+1); j++){
if( i>=j && (CPPL::max(0,j-A.kl) <= i && i < CPPL::min(A.n,j+A.ku+1) )){
A(i,j) = double( rand() /(RAND_MAX/10) );
A(j,i) = A(i,j);
X(i,j) = -A(i,j);
Y(i,j) = A(i,j);
}
}
}
for(int i=0; i<Z.n; i++){
for(int j=0; j<Z.n; j++){
Z(i,j) = double( rand() /(RAND_MAX/10) );
}
}
cout << "A =\n" << A << endl;
cout << "X =\n" << X << endl;
cout << "Y =\n" << Y << endl;
cout << "Z =\n" << Z << endl;
//dgb+dsy
cout << "A+X =\n" << A+X << "<-Should be zero." << endl;
//dgb-dsy
cout << "A-Y =\n" << A-Y << "<-Should be zero." << endl;
//dgb*dsy
cout << "t(A*Z)-Z*t(A) =\n" << t(A*Z)-Z*t(A) << "<-Should be zero." << endl;
//dgb/dsy
//N/A
//dgb=dsy
//N/A
//dgb+=dsy
//N/A
//dgb-=dsy
//N/A
//dgb*=dsy
//N/A
//dgb/=dsy
//N/A
//dgb+_dsy, -dsy
cout << "A+(-Y) =\n" << A+(-Y) << "<-Should be zero." << endl;
//dgb-_dsy, -dsy
cout << "A-(-X) =\n" << A-(-X) << "<-Should be zero." << endl;
//dgb*_dsy, dsy+dsy, dgb*dsy, _dge+_dge, _dge-_dge
cout << "A*(X+Z) - (A*X+A*Z) =\n" << A*(X+Z) - (A*X+A*Z) << "<-Should be zero." << endl;
//dgb/_dsy
//N/A
//dgb=_dsy
//N/A
//dgb+=_dsy
//N/A
//dgb-=_dsy
//N/A
//dgb*=_dsy
//N/A
//dgb/=_dsy
//N/A
//_dgb+dsy, -dgb
cout << "(-A)+Y =\n" << (-A)+Y << "<-Should be zero." << endl;
//_dgb-dsy, -dgb
cout << endl << endl << endl << endl;
cout << "(-A)-X =\n" << (-A)-X << "<-Should be zero." << endl;
cout << endl << endl << endl << endl;
//_dgb*dsy, -dgb, dgb*dsy, _dge+_dge
cout << "(-A)*Z+(A*Z) =\n" << ((-A)*Z+(A*Z)) << "<-Should be zero." << endl;
//_dgb/dsy
//N/A
//_dgb=dsy
//N/A
//_dgb+=dsy
//N/A
//_dgb-=dsy
//N/A
//_dgb*=dsy
//N/A
//_dgb/=dsy
//N/A
//_dgb+_dsy, -dgb, -dsy
cout << "(-A)+(-X) =\n" << (-A)+(-X) << "<-Should be zero." << endl;
//_dgb-_dsy, -dgb, -dsy
cout << "(-A)-(-Y) =\n" << (-A)-(-Y) << "<-Should be zero." << endl;
//_dgb*_dsy, -dgb, -dsy, dgb*dsy, _dge-_dge
cout << "(-A)*(-Z)-(A*Z) =\n" << (-A)*(-Z)-(A*Z) << "<-Should be zero." << endl;
//_dgb/_dsy
//N/A
//_dgb=_dsy
//N/A
//_dgb+=_dsy
//N/A
//_dgb-=_dsy
//N/A
//_dgb*=_dsy
//N/A
//_dgb/=_dsy
//N/A
return 0;
}
/*****************************************************************************/