
/*+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*                                                                           */
/*                                                                           */
/*                   MV++ Numerical Matrix/Vector C++ Library                */
/*                             MV++ Version 1.5                              */
/*                                                                           */
/*                                  R. Pozo                                  */
/*               National Institute of Standards and Technology              */
/*                                                                           */
/*                                  NOTICE                                   */
/*                                                                           */
/* Permission to use, copy, modify, and distribute this software and         */
/* its documentation for any purpose and without fee is hereby granted       */
/* provided that this permission notice appear in all copies and             */
/* supporting documentation.                                                 */
/*                                                                           */
/* Neither the Institution (National Institute of Standards and Technology)  */
/* nor the author makes any representations about the suitability of this    */
/* software for any purpose.  This software is provided ``as is''without     */
/* expressed or implied warranty.                                            */
/*                                                                           */
/*+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/


#include <math.h>
#include <stdlib.h>

#include "$INCLUDE"

MV_Vector_$TYPE& operator*=(MV_Vector_$TYPE &x, const $TYPE &a)
{
      int N = x.size();
      for (int i=0;i<N;i++)
         x(i) *= a;
      return x;
}

MV_Vector_$TYPE operator*(const $TYPE &a, const MV_Vector_$TYPE &x)
{
      int N = x.size();
      MV_Vector_$TYPE result(N);
      for (int i=0;i<N;i++)
         result(i) = x(i)*a;
      return result;
}

MV_Vector_$TYPE operator*(const MV_Vector_$TYPE &x, const $TYPE &a)
{
    // This is the other commutative case of vector*scalar.
    // It should be just defined to be
    // "return operator*(a,x);"
    // but some compilers (e.g. Turbo C++ v.3.0) have trouble
    // determining the proper template match.  For the moment,
    // we'll just duplicate the code in the scalar * vector 
    // case above.

      int N = x.size();
      MV_Vector_$TYPE result(N);
      for (int i=0;i<N;i++)
         result(i) = x(i)*a;
      return result;

}

MV_Vector_$TYPE operator+(const MV_Vector_$TYPE &x, const MV_Vector_$TYPE &y)
{
      int N = x.size();
      if (N != y.size())
      {
         cout << "Incompatible vector lengths in +." << endl;
         exit(1);
      }
      
      MV_Vector_$TYPE result(N);
      for (int i=0;i<N; i++)
         result(i) = x(i) + y(i);
      return result;
}
          
MV_Vector_$TYPE operator-(const MV_Vector_$TYPE &x, const MV_Vector_$TYPE &y)
{
      int N = x.size();
      if (N != y.size())
      {
         cout << "Incompatible vector lengths in -." << endl;
         exit(1);
      }
      
      MV_Vector_$TYPE result(N);
      for (int i=0;i<N; i++)
         result(i) = x(i) - y(i);
      return result;
}
          

MV_Vector_$TYPE& operator+=(MV_Vector_$TYPE &x, const MV_Vector_$TYPE &y)
{
      int N = x.size();
      if (N != y.size())
      {
         cout << "Incompatible vector lengths in -." << endl;
         exit(1);
      }
      
      for (int i=0;i<N; i++)
         x(i) += y(i);
      return x;
}
          
      
MV_Vector_$TYPE& operator-=(MV_Vector_$TYPE &x, const MV_Vector_$TYPE &y)
{
      int N = x.size();
      if (N != y.size())
      {
         cout << "Incompatible vector lengths in -." << endl;
         exit(1);
      }
      
      for (int i=0;i<N; i++)
         x(i) -= y(i);
      return x;
}
          
      

//  norm and dot product functions for the MV_Vector<> class


$TYPE dot(const MV_Vector_$TYPE &x, const MV_Vector_$TYPE &y)
{
        
  //  Check for compatible dimensions:
  if (x.size() != y.size())
      {
         cout << "Incompatible dimensions in dot(). " << endl;
         exit(1);
      }

      $TYPE temp =  0;
      for (int i=0; i<x.size();i++)
           temp += x(i)*y(i);
      return temp;
}

$TYPE norm(const MV_Vector_$TYPE &x)
{
      $TYPE temp = dot(x,x);
      return sqrt(temp);
}

