109 lines
3.3 KiB
C
109 lines
3.3 KiB
C
|
/***************************************************************************
|
||
|
|
||
|
TITLE: ls_matrix.h
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
FUNCTION: Header file for general real matrix routines.
|
||
|
|
||
|
The routines in this module have come more or less from ref [1].
|
||
|
Note that, probably due to the heritage of ref [1] (which has a
|
||
|
FORTRAN version that was probably written first), the use of 1 as
|
||
|
the first element of an array (or vector) is used. This is accomplished
|
||
|
in memory by allocating, but not using, the 0 elements in each dimension.
|
||
|
While this wastes some memory, it allows the routines to be ported more
|
||
|
easily from FORTRAN (I suspect) as well as adhering to conventional
|
||
|
matrix notation. As a result, however, traditional ANSI C convention
|
||
|
(0-base indexing) is not followed; as the authors of ref [1] point out,
|
||
|
there is some question of the portability of the resulting routines
|
||
|
which sometimes access negative indexes. See ref [1] for more details.
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
MODULE STATUS: developmental
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
GENEALOGY: Created 950222 E. B. Jackson
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
DESIGNED BY: from Numerical Recipes in C, by Press, et. al.
|
||
|
|
||
|
CODED BY: Bruce Jackson
|
||
|
|
||
|
MAINTAINED BY:
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
MODIFICATION HISTORY:
|
||
|
|
||
|
DATE PURPOSE BY
|
||
|
|
||
|
CURRENT RCS HEADER:
|
||
|
|
||
|
$Header$
|
||
|
$Log$
|
||
|
Revision 1.1 1998/06/27 22:34:58 curt
|
||
|
Initial revision.
|
||
|
|
||
|
* Revision 1.1 1995/02/27 20:02:18 bjax
|
||
|
* Initial revision
|
||
|
*
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
REFERENCES: [1] Press, William H., et. al, Numerical Recipes in
|
||
|
C, 2nd edition, Cambridge University Press, 1992
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
CALLED BY:
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
CALLS TO:
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
INPUTS:
|
||
|
|
||
|
----------------------------------------------------------------------------
|
||
|
|
||
|
OUTPUTS:
|
||
|
|
||
|
--------------------------------------------------------------------------*/
|
||
|
#include <stdlib.h>
|
||
|
#include <stdio.h>
|
||
|
#include <math.h>
|
||
|
|
||
|
#define NR_END 1
|
||
|
|
||
|
/* matrix creation & destruction routines */
|
||
|
|
||
|
int *nr_ivector(long nl, long nh);
|
||
|
double **nr_matrix(long nrl, long nrh, long ncl, long nch);
|
||
|
|
||
|
void nr_free_ivector(int *v, long nl /* , long nh */);
|
||
|
void nr_free_matrix(double **m, long nrl, long nrh, long ncl, long nch);
|
||
|
|
||
|
|
||
|
/* Gauss-Jordan inversion routine */
|
||
|
|
||
|
int nr_gaussj(double **a, int n, double **b, int m);
|
||
|
|
||
|
/* Linear equation solution by Gauss-Jordan elimination. a[1..n][1..n] is */
|
||
|
/* the input matrix. b[1..n][1..m] is input containing the m right-hand */
|
||
|
/* side vectors. On output, a is replaced by its matrix invers, and b is */
|
||
|
/* replaced by the corresponding set of solution vectors. */
|
||
|
|
||
|
/* Note: this routine modified by EBJ to make b optional, if m == 0 */
|
||
|
|
||
|
/* Matrix copy, multiply, and printout routines (by EBJ) */
|
||
|
|
||
|
void nr_copymat(double **orig, int n, double **copy);
|
||
|
void nr_multmat(double **m1, int n, double **m2, double **prod);
|
||
|
void nr_printmat(double **a, int n);
|
||
|
|
||
|
|