Example Vectors and Matrices with Integer Entries

#include <LEDA/numbers/integer_vector.h>
#include <LEDA/numbers/integer_matrix.h>
#include <LEDA/core/random_source.h>

using namespace leda;

int main() 
{
  //integer valued vectors

  integer_vector v1(3),v2(3);  //define two 3d-zero-vectors;
  v1=integer_vector(1,2,3);    //assign values
  v2=integer_vector(3,4,5);

  v1=v1*integer(3);   //componentwise multiplication with 3

  integer x=v1*v2;    //scalar multiplication

  std::cout << "vector v1=" << v1 << std::endl;
  std::cout << "vector v2=" << v2 << std::endl;
  std::cout << "product v1*v2="   << x << std::endl;
  
  //-------------------------------------------------------
 
  //integer valued matrices
  
  integer_matrix A(3,3); //define 3x3-matrix 

  random_source S; int i;int j;  
  for (i=0;i<3;i++) for (j=0;j<3;j++) S >> A(i,j);
                                  //assign random values

  std::cout << "\nA=" << A << std::endl;    //print A
  std::cout << "\nA^T=" 
            << transpose(A) << std::endl;   //compute and print transposed of A
  std::cout << "\ndeterminant of A: " 
            << determinant(A) << std::endl; //compute and output determinant of A

  integer_matrix B(3,6); //define 3x6-zero-matrix and assign values
  for (i=0;i<3;i++) for (j=0;j<6;j++) B(i,j)=i-j-1;

  std::cout << "\nB=" << B << std::endl;  //print B

  integer_matrix C=A*3; //multiplication of matrix with double
  std::cout << "\nC=A*3: " << C << std::endl;

  v2=A*v1;              //multiplication of matrix with vector
  std::cout << "\nvector v2=A*v1: " << v2 << std::endl;

  C=A*B;                //multiplication of two matrices
  std::cout << "\nC=A*B: " << C << std::endl;

  return 0;
}	  

See also:

Vectors and Matrices with Double Entries

Rational Vectors

Random Sources

Manual Entries:

Vectors with Integer Entries

Matrices with Integer Entries