dnrm2.c

#include <math.h>  /* Needed for fabs() and sqrt() */
#include "blas.h"

#ifdef __cplusplus
extern "C" {
#endif

float dnrm2_(int *n, float *x, int *incx)
{
  long int ix, nn, iincx;
  float norm, scale, absxi, ssq, temp;

/*  DNRM2 returns the euclidean norm of a vector via the function   
    name, so that   

       DNRM2 := sqrt( x'*x )   

    -- This version written on 25-October-1982.   
       Modified on 14-October-1993 to inline the call to SLASSQ.   
       Sven Hammarling, Nag Ltd.   */

  /* Dereference inputs */
  nn = *n;
  iincx = *incx;

  if( nn > 0 && iincx > 0 )
  {
    if (nn == 1)
    {
      norm = fabs(x[0]);
    }  
    else
    {
      scale = 0.0;
      ssq = 1.0;

      /* The following loop is equivalent to this call to the LAPACK 
         auxiliary routine:   CALL SLASSQ( N, X, INCX, SCALE, SSQ ) */

      for (ix=(nn-1)*iincx; ix>=0; ix-=iincx)
      {
        if (x[ix] != 0.0)
        {
          absxi = fabs(x[ix]);
          if (scale < absxi)
          {
            temp = scale / absxi;
            ssq = ssq * (temp * temp) + 1.0;
            scale = absxi;
          }
          else
          {
            temp = absxi / scale;
            ssq += temp * temp;
          }
        }
      }
      norm = scale * sqrt(ssq);
    }
  }
  else
    norm = 0.0;

  return norm;

} /* dnrm2_ */

#ifdef __cplusplus
}
#endif