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							- /* 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 'misc' subdirectory.
 
-    *That* file is the one from the book, and 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*
 
- #define REAL float
 
- 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);
 
- }
 
- REAL *vector(long nl, long nh)
 
- /* allocate a REAL vector with subscript range v[nl..nh] */
 
- {
 
- 	REAL *v;
 
- 	v=(REAL *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(REAL)));
 
- 	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;
 
- }
 
- REAL **matrix(long nrl, long nrh, long ncl, long nch)
 
- /* allocate a REAL matrix with subscript range m[nrl..nrh][ncl..nch] */
 
- {
 
- 	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
 
- 	REAL **m;
 
- 	/* allocate pointers to rows */
 
- 	m=(REAL **) malloc((size_t)((nrow+NR_END)*sizeof(REAL*)));
 
- 	if (!m) nrerror("allocation failure 1 in matrix()");
 
- 	m += NR_END;
 
- 	m -= nrl;
 
- 	/* allocate rows and set pointers to them */
 
- 	m[nrl]=(REAL *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(REAL)));
 
- 	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;
 
- }
 
- REAL **submatrix(REAL **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;
 
- 	REAL **m;
 
- 	/* allocate array of pointers to rows */
 
- 	m=(REAL **) malloc((size_t) ((nrow+NR_END)*sizeof(REAL*)));
 
- 	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;
 
- }
 
- REAL **convert_matrix(REAL *a, long nrl, long nrh, long ncl, long nch)
 
- /* allocate a REAL 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;
 
- 	REAL **m;
 
- 	/* allocate pointers to rows */
 
- 	m=(REAL **) malloc((size_t) ((nrow+NR_END)*sizeof(REAL*)));
 
- 	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;
 
- }
 
- REAL ***f3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
 
- /* allocate a REAL 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;
 
- 	REAL ***t;
 
- 	/* allocate pointers to pointers to rows */
 
- 	t=(REAL ***) malloc((size_t)((nrow+NR_END)*sizeof(REAL**)));
 
- 	if (!t) nrerror("allocation failure 1 in f3tensor()");
 
- 	t += NR_END;
 
- 	t -= nrl;
 
- 	/* allocate pointers to rows and set pointers to them */
 
- 	t[nrl]=(REAL **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(REAL*)));
 
- 	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]=(REAL *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(REAL)));
 
- 	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(REAL *v, long nl, long nh)
 
- /* free a REAL 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(REAL **m, long nrl, long nrh, long ncl, long nch)
 
- /* free a REAL 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(REAL **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(REAL **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(REAL ***t, long nrl, long nrh, long ncl, long nch,
 
- 	long ndl, long ndh)
 
- /* free a REAL 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));
 
- }
 
 
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