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   /* file gammln.c */

/* (C) Copr. 1986-92 Numerical Recipes Software $|9`0S[)03. */

float gammln(float xx)
{
   double x,y,tmp,ser;
   static double cof[6]={76.18009172947146,-86.50532032941677,
      24.01409824083091,-1.231739572450155,
      0.1208650973866179e-2,-0.5395239384953e-5};
   int j;

   y=x=xx;
   tmp=x+5.5;
   tmp -= (x+0.5)*log(tmp);
   ser=1.000000000190015;
   for (j=0;j<=5;j++) ser += cof[j]/++y;
   return -tmp+log(2.5066282746310005*ser/x);
}




/* (C) Copr. 1986-92 Numerical Recipes Software $|9`0S[)03. */


   /* file nrutil.c */


/* CAUTION: This is the ANSI C (only) version of the Numerical Recipes
   utility file nrutil.c.  Do not confuse this file with the same-named
   file nrutil.c that is supplied in the same subdirectory or archive
   as the header file nrutil.h.  *That* file contains both ANSI and
   traditional K&R versions, along with #ifdef macros to select the
   correct version.  *This* file contains only ANSI C.               */

#include <stdio.h>
#include <stddef.h>
#include <stdlib.h>
#define NR_END 1
#define FREE_ARG char*

void nrerror(char error_text[])
/* Numerical Recipes standard error handler */
{
   fprintf(stderr,"Numerical Recipes run-time error...\n");
   fprintf(stderr,"%s\n",error_text);
   fprintf(stderr,"...now exiting to system...\n");
   exit(1);
}

float *vector(long nl, long nh)
/* allocate a float vector with subscript range v[nl..nh] */
{
   float *v;

   v=(float *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(float)));
   if (!v) nrerror("allocation failure in vector()");
   return v-nl+NR_END;
}

int *ivector(long nl, long nh)
/* allocate an int vector with subscript range v[nl..nh] */
{
   int *v;

   v=(int *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(int)));
   if (!v) nrerror("allocation failure in ivector()");
   return v-nl+NR_END;
}

unsigned char *cvector(long nl, long nh)
/* allocate an unsigned char vector with subscript range v[nl..nh] */
{
   unsigned char *v;

   v=(unsigned char *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(unsigned char)));
   if (!v) nrerror("allocation failure in cvector()");
   return v-nl+NR_END;
}

unsigned long *lvector(long nl, long nh)
/* allocate an unsigned long vector with subscript range v[nl..nh] */
{
   unsigned long *v;

   v=(unsigned long *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(long)));
   if (!v) nrerror("allocation failure in lvector()");
   return v-nl+NR_END;
}

double *dvector(long nl, long nh)
/* allocate a double vector with subscript range v[nl..nh] */
{
   double *v;

   v=(double *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(double)));
   if (!v) nrerror("allocation failure in dvector()");
   return v-nl+NR_END;
}

float **matrix(long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix with subscript range m[nrl..nrh][ncl..nch] */
{
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
   float **m;

   /* allocate pointers to rows */
   m=(float **) malloc((size_t)((nrow+NR_END)*sizeof(float*)));
   if (!m) nrerror("allocation failure 1 in matrix()");
   m += NR_END;
   m -= nrl;

   /* allocate rows and set pointers to them */
   m[nrl]=(float *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float)));
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   m[nrl] += NR_END;
   m[nrl] -= ncl;

   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

   /* return pointer to array of pointers to rows */
   return m;
}

double **dmatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a double matrix with subscript range m[nrl..nrh][ncl..nch] */
{
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
   double **m;

   /* allocate pointers to rows */
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   if (!m) nrerror("allocation failure 1 in matrix()");
   m += NR_END;
   m -= nrl;

   /* allocate rows and set pointers to them */
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   m[nrl] += NR_END;
   m[nrl] -= ncl;

   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

   /* return pointer to array of pointers to rows */
   return m;
}

int **imatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */
{
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
   int **m;

   /* allocate pointers to rows */
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));
   if (!m) nrerror("allocation failure 1 in matrix()");
   m += NR_END;
   m -= nrl;


   /* allocate rows and set pointers to them */
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   m[nrl] += NR_END;
   m[nrl] -= ncl;

   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

   /* return pointer to array of pointers to rows */
   return m;
}

float **submatrix(float **a, long oldrl, long oldrh, long oldcl, long oldch,
   long newrl, long newcl)
/* point a submatrix [newrl..][newcl..] to a[oldrl..oldrh][oldcl..oldch] */
{
   long i,j,nrow=oldrh-oldrl+1,ncol=oldcl-newcl;
   float **m;

   /* allocate array of pointers to rows */
   m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
   if (!m) nrerror("allocation failure in submatrix()");
   m += NR_END;
   m -= newrl;

   /* set pointers to rows */
   for(i=oldrl,j=newrl;i<=oldrh;i++,j++) m[j]=a[i]+ncol;

   /* return pointer to array of pointers to rows */
   return m;
}

float **convert_matrix(float *a, long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix m[nrl..nrh][ncl..nch] that points to the matrix
declared in the standard C manner as a[nrow][ncol], where nrow=nrh-nrl+1
and ncol=nch-ncl+1. The routine should be called with the address
&a[0][0] as the first argument. */
{
   long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1;
   float **m;

   /* allocate pointers to rows */
   m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
   if (!m) nrerror("allocation failure in convert_matrix()");
   m += NR_END;
   m -= nrl;

   /* set pointers to rows */
   m[nrl]=a-ncl;
   for(i=1,j=nrl+1;i<nrow;i++,j++) m[j]=m[j-1]+ncol;
   /* return pointer to array of pointers to rows */
   return m;
}

float ***f3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
/* allocate a float 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] */
{
   long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
   float ***t;

   /* allocate pointers to pointers to rows */
   t=(float ***) malloc((size_t)((nrow+NR_END)*sizeof(float**)));
   if (!t) nrerror("allocation failure 1 in f3tensor()");
   t += NR_END;
   t -= nrl;

   /* allocate pointers to rows and set pointers to them */
   t[nrl]=(float **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float*)));
   if (!t[nrl]) nrerror("allocation failure 2 in f3tensor()");
   t[nrl] += NR_END;
   t[nrl] -= ncl;

   /* allocate rows and set pointers to them */
   t[nrl][ncl]=(float *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(float)));
   if (!t[nrl][ncl]) nrerror("allocation failure 3 in f3tensor()");
   t[nrl][ncl] += NR_END;
   t[nrl][ncl] -= ndl;

   for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
   for(i=nrl+1;i<=nrh;i++) {
      t[i]=t[i-1]+ncol;
      t[i][ncl]=t[i-1][ncl]+ncol*ndep;
      for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
   }

   /* return pointer to array of pointers to rows */
   return t;
}

void free_vector(float *v, long nl, long nh)
/* free a float vector allocated with vector() */
{
   free((FREE_ARG) (v+nl-NR_END));
}

void free_ivector(int *v, long nl, long nh)
/* free an int vector allocated with ivector() */
{
   free((FREE_ARG) (v+nl-NR_END));
}

void free_cvector(unsigned char *v, long nl, long nh)
/* free an unsigned char vector allocated with cvector() */
{
   free((FREE_ARG) (v+nl-NR_END));
}

void free_lvector(unsigned long *v, long nl, long nh)
/* free an unsigned long vector allocated with lvector() */
{
   free((FREE_ARG) (v+nl-NR_END));
}

void free_dvector(double *v, long nl, long nh)
/* free a double vector allocated with dvector() */
{
   free((FREE_ARG) (v+nl-NR_END));
}

void free_matrix(float **m, long nrl, long nrh, long ncl, long nch)
/* free a float matrix allocated by matrix() */
{
   free((FREE_ARG) (m[nrl]+ncl-NR_END));
   free((FREE_ARG) (m+nrl-NR_END));
}

void free_dmatrix(double **m, long nrl, long nrh, long ncl, long nch)
/* free a double matrix allocated by dmatrix() */
{
   free((FREE_ARG) (m[nrl]+ncl-NR_END));
   free((FREE_ARG) (m+nrl-NR_END));
}

void free_imatrix(int **m, long nrl, long nrh, long ncl, long nch)
/* free an int matrix allocated by imatrix() */
{
   free((FREE_ARG) (m[nrl]+ncl-NR_END));
   free((FREE_ARG) (m+nrl-NR_END));
}

void free_submatrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a submatrix allocated by submatrix() */
{
   free((FREE_ARG) (b+nrl-NR_END));
}

void free_convert_matrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a matrix allocated by convert_matrix() */
{
   free((FREE_ARG) (b+nrl-NR_END));
}

void free_f3tensor(float ***t, long nrl, long nrh, long ncl, long nch,
   long ndl, long ndh)
/* free a float f3tensor allocated by f3tensor() */
{
   free((FREE_ARG) (t[nrl][ncl]+ndl-NR_END));
   free((FREE_ARG) (t[nrl]+ncl-NR_END));
   free((FREE_ARG) (t+nrl-NR_END));
}
/* (C) Copr. 1986-92 Numerical Recipes Software $|9`0S[)03. */

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