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aw0a |
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/* |
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* linsol: Ascend Linear Solver |
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* by Karl Michael Westerberg |
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* Created: 2/6/90 |
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* Version: $Revision: 1.6 $ |
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* Version control file: $RCSfile: linsol.h,v $ |
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* Date last modified: $Date: 1997/07/18 12:14:20 $ |
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* Last modified by: $Author: mthomas $ |
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* |
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* This file is part of the SLV solver. |
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* |
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* Copyright (C) 1990 Karl Michael Westerberg |
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* Copyright (C) 1993 Joseph Zaher |
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* Copyright (C) 1994 Joseph Zaher, Benjamin Andrew Allan |
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* |
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* The SLV solver is free software; you can redistribute |
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* it and/or modify it under the terms of the GNU General Public License as |
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* published by the Free Software Foundation; either version 2 of the |
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* License, or (at your option) any later version. |
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* |
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* The SLV solver is distributed in hope that it will be |
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* useful, but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* General Public License for more details. |
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* |
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* You should have received a copy of the GNU General Public License along with |
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* the program; if not, write to the Free Software Foundation, Inc., 675 |
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* Mass Ave, Cambridge, MA 02139 USA. Check the file named COPYING. |
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* COPYING is found in ../compiler. |
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*/ |
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/************************************************************************* |
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*** Contents: Linear equation solver module |
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*** |
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*** Authors: Karl Westerberg |
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*** Joseph Zaher |
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*** |
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*** Dates: 06/90 - original version |
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*** 04/91 - removed output assignment and partitioning |
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*** (belong in structural analysis) |
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*** 08/92 - added transpose ability |
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*** 01/94 - broke out linsol_invert() and linsol_solve() |
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*** |
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*** Description: A linear system consists of a coefficient matrix (A) |
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*** and possibly several right-hand-sides (rhs). The |
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*** solution vector x sought can be that of either |
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*** |
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*** T |
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*** A x = rhs or A x = rhs |
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*** |
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*** depending on a specification inherent with rhs which |
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*** dictates whether or not A should be transposed. If a |
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*** rhs specifies transpose, then the vector itself is |
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*** expected to be indexed by the original column numbers |
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*** of the coefficient matrix and the solution vector shall |
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*** be indexed by original row numbers. Otherwise, rhs |
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*** is expected to be indexed by original row numbers while |
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*** the solution can be referenced using original column |
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*** numbers. The coefficient matrix and each rhs will be |
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*** preserved throughout solving, except that the |
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*** coefficient matrix may be permuted during reordering. |
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*************************************************************************/ |
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#ifndef linsol__already_included |
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#define linsol__already_included |
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typedef struct linsol_header *linsol_system_t; |
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/** |
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*** linsol_system_t is the linear system handle. |
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**/ |
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extern linsol_system_t linsol_create(); |
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/** |
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*** sys = linsol_create() |
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*** linsol_system_t sys; |
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*** |
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*** Creates a linear system and returns a pointer to it. Initially the |
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*** system has no coefficient matrix and no rhs. |
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**/ |
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extern void linsol_destroy(); |
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/** |
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*** linsol_destroy(sys) |
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*** linsol_system_t sys; |
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*** |
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*** Destroys the linear system. The coefficient matrix and each rhs are |
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*** not destroyed by this call. |
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**/ |
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extern void linsol_set_matrix(); |
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/** |
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*** linsol_set_matrix(sys,mtx) |
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*** linsol_system_t sys; |
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*** mtx_matrix_t mtx; |
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*** |
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*** Sets the coefficient matrix to mtx. |
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**/ |
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extern mtx_matrix_t linsol_get_matrix(); |
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/** |
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*** mtx = linsol_get_matrix(sys) |
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*** mtx_matrix_t mtx; |
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*** linsol_system_t sys; |
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*** |
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*** Returns the coefficient matrix. |
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**/ |
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extern mtx_matrix_t linsol_get_inverse(); |
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/** |
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*** mtx = linsol_get_inverse(sys) |
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*** mtx_matrix_t mtx; |
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*** linsol_system_t sys; |
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*** |
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*** Returns the inverse matrix. May be NULL. |
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**/ |
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extern void linsol_add_rhs(); |
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/** |
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*** linsol_add_rhs(sys,rhs,transpose) |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** boolean transpose; |
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*** |
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*** Adds the given rhs to the collection of rhs's already part of the |
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*** system. rhs should point to an array of numbers indexed by original |
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*** column number if the linear system is to be solved using the transpose |
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*** of the matrix or by original row number if the matrix is not to be |
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*** transposed. This is determined using the boolean transpose. The |
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*** rhs should be refered to in the future by its pointer. |
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**/ |
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extern void linsol_remove_rhs(); |
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/** |
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*** linsol_remove_rhs(sys,rhs) |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** |
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*** Removes the given rhs from the system. The rhs is not destroyed, just |
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*** removed from the system. |
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**/ |
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extern int linsol_number_of_rhs(); |
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/** |
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*** nrhs = linsol_number_of_rhs(sys) |
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*** int nrhs; |
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*** linsol_system_t sys; |
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*** |
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*** Returns the number of rhs's currently part of the system. |
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**/ |
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extern real64 *linsol_get_rhs(); |
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/** |
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*** rhs = linsol_get_rhs(sys,n) |
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*** real64 *rhs; |
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*** linsol_system_t sys; |
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*** int n; |
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*** |
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*** Returns the n-th rhs, where rhs's are indexed in the order they were |
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*** added using linsol_add_rhs() from 0 to (# rhs's)-1. NULL is returned |
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*** if the index is out of range. |
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**/ |
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extern void linsol_matrix_was_changed(); |
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/** |
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*** linsol_matrix_was_changed(sys) |
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*** linsol_system_t sys; |
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*** |
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*** Informs the solver that a numerical value of a non-zero was changed. |
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*** This must be called whenever any numerical changes to the matrix are |
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*** made. |
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**/ |
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extern void linsol_rhs_was_changed(); |
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/** |
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*** linsol_rhs_was_changed(sys,rhs) |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** |
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*** Informs the solver that the given rhs has been modified. This must be |
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*** called whenever the rhs is modified. |
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**/ |
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extern void linsol_set_pivot_zero(); |
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extern real64 linsol_pivot_zero(); |
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/** |
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*** linsol_set_pivot_zero(sys,pivot_zero) |
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*** pivot_zero = linsol_pivot_zero(sys) |
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*** linsol_system_t sys; |
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*** real64 pivot_zero; |
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*** |
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*** Sets/gets the pivot zero for the system. Pivots less than or equal to |
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*** this value are regarded as zero. linsol_set_pivot_zero() will |
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*** automatically call linsol_matrix_was_changed(). |
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**/ |
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extern void linsol_set_pivot_tolerance(); |
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extern real64 linsol_pivot_tolerance(); |
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/** |
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*** linsol_set_pivot_tolerance(sys,ptol) |
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*** ptol = linsol_pivot_tolerance(sys) |
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*** linsol_system_t sys; |
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*** real64 ptol; |
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*** |
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*** Sets/gets the pivot tolerance for the system. Pivots less than this |
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*** fraction of the maximum pivot value in the same row are disregarded. |
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*** linsol_set_pivot_tolerance() will automatically call |
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*** linsol_matrix_was_changed(). |
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**/ |
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extern void linsol_reorder(); |
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/** |
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*** linsol_reorder(sys,region) |
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*** linsol_system_t sys; |
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*** mtx_region_t *region; |
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*** |
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*** The specified region of the coefficient matrix is reordered. This |
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*** should be called before inverting the matrix. The specified region |
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*** is assumed to contain only nonempty rows and columns. |
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**/ |
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extern void linsol_invert(); |
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/** |
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*** linsol_invert(sys,region) |
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*** linsol_system_t sys; |
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*** mtx_region_t *region; |
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*** |
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*** Decompose the specified region of a copy of the coefficient matrix |
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*** into upper and lower triangular factors (if necessary) which can be |
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*** inverted easily when applied to any rhs. Matrix must be inverted in |
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*** order to perform any of the operations below. The numerical rank and |
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*** the smallest pivot encountered during pivoting are computed in the |
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*** process. |
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**/ |
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extern int32 linsol_rank(); |
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/** |
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*** rank = linsol_rank(sys) |
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*** int32 rank; |
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*** linsol_system_t sys; |
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*** |
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*** Returns the rank of the system. The system must be previously |
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*** inverted. |
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**/ |
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extern real64 linsol_smallest_pivot(); |
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/** |
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*** smallest_pivot = linsol_smallest_pivot(sys) |
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*** real64 smallest_pivot; |
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*** linsol_system_t sys; |
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*** |
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*** Returns the smallest pivot accepted in solving the system. The |
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*** system must be previously inverted. If no pivoting was performed, |
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*** MAXDOUBLE is returned. |
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**/ |
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extern int linsol_get_pivot_sets(); |
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/** |
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*** status=linsol_get_pivot_sets(sys,org_rowpivots,org_colpivots) |
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*** linsol_system_t sys; |
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*** unsigned *org_rowpivots,*org_colpivots; (see the "set" module) |
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*** |
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*** Returns the set of original row numbers / original column numbers which |
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*** have been pivoted. org_rowpivots and org_colpivots are assumed to be |
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*** sets created by (or at least for) the set module with sufficient size |
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*** before calling this function. They must also be previously NULLed. |
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*** The system must be previously inverted. |
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*** The sets input should be the result of set_create(neqn),set_create(nvar). |
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*** There is no association of rows with columns here. |
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*** |
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*** Status is 0 if not inverted, 1 if inverted. if 0, sets will not be |
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*** changed. |
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**/ |
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extern int32 linsol_org_row_to_org_col(); |
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extern int32 linsol_org_col_to_org_row(); |
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/** |
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*** org_col = linsol_org_row_to_org_col(sys,org_row) |
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*** org_row = linsol_org_col_to_org_row(sys,org_col) |
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*** linsol_system_t sys; |
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*** int32 org_col,org_row; |
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*** |
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*** Pivoted original columns and pivoted original rows can be associated |
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*** with one another via the pivot sequence. These functions returned the |
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*** org_col/org_row associated with the given org_row/org_col. If the given |
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*** org_row/org_col is not pivoted, a meaningless value is returned. The |
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*** system must be previously inverted. If not inverted, these functions |
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*** will return a value, but linsol may reorder making the value wrong. |
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**/ |
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extern real64 linsol_org_row_dependency(); |
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extern real64 linsol_org_col_dependency(); |
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/** |
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*** coef = linsol_org_row_dependency(sys,dep,ind) |
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*** coef = linsol_org_col_dependency(sys,dep,ind) |
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*** real64 coef; |
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*** linsol_system_t sys; |
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*** int32 dep,ind; |
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*** |
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*** Any original row / column of the coefficient matrix which when submitted |
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*** to the linear solver is not pivoted, is called dependent and can be |
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*** written as a linear combination of the independent (pivoted) original |
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*** rows / columns. These functions return the previously computed |
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*** coefficients of the linear combination. The system must be previously |
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*** inverted and the independent row / column must be a member of the |
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*** set of row / column pivots obtained by linsol_get_pivot_sets. |
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**/ |
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extern void linsol_solve(); |
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/** |
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*** linsol_solve(sys,rhs) |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** |
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*** Solves the system of linear equations (if necessary) utilizing the |
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*** specified rhs along with the previously inverted matrix. The rhs |
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*** is automatically checked if the matrix factors need to be transposed |
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*** or not. |
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**/ |
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extern real64 linsol_var_value(); |
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/** |
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*** value = linsol_var_value(sys,rhs,var) |
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*** real64 value; |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** int32 var; |
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*** |
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*** Returns the value of the variable in the solution vector associated |
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*** with the given rhs and either the matrix or its transpose. The rhs |
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*** must be solved for first. If rhs specifies transpose, then var is |
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*** expected to be an original row number, otherwise it should be an |
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*** original column number. |
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**/ |
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extern boolean linsol_copy_solution(); |
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/** |
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*** result = linsol_copy_solution(sys,rhs,vector) |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** real64 *vector; |
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*** |
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*** Will copy the solution vector into the vector provided. |
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*** The user is responsible for allocating and deallocating said |
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*** vector. The provided vector should be at least |
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*** mtx_cacpacity(mtx), where mtx is the matrix that linsol_set_matrix, |
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*** was called with. The returned vector will be indexed in the same |
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*** way that the rhs is indexed. |
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*** |
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*** Returns TRUE in the event of any of any errors, FALSE otherwise. |
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**/ |
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extern real64 linsol_eqn_residual(); |
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/** |
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*** residual = linsol_eqn_residual(sys,rhs,eqn) |
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*** real64 residual; |
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*** linsol_system_t sys; |
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*** real64 *rhs; |
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*** int32 eqn; |
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*** |
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*** Returns the equation residual using the solution vector associated |
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*** with the given rhs and either the matrix or its transpose. |
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*** |
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*** T |
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*** residual = A x - b or residual = A x - b |
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*** |
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*** The rhs must be solved for first. If rhs specifies transpose, then |
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*** eqn is expected to be an original column number, otherwise it should |
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*** be an original row number. |
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**/ |
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#endif |
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