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+/* ========================================================================== */
+/* === umfpack.h ============================================================ */
+/* ========================================================================== */
+
+/* -------------------------------------------------------------------------- */
+/* Copyright (c) 2005-2012 by Timothy A. Davis, http://www.suitesparse.com. */
+/* All Rights Reserved. See ../Doc/License for License. */
+/* -------------------------------------------------------------------------- */
+
+/*
+ This is the umfpack.h include file, and should be included in all user code
+ that uses UMFPACK. Do not include any of the umf_* header files in user
+ code. All routines in UMFPACK starting with "umfpack_" are user-callable.
+ All other routines are prefixed "umf_XY_", (where X is d or z, and Y is
+ i or l) and are not user-callable.
+*/
+
+#ifndef UMFPACK_H
+#define UMFPACK_H
+
+/* -------------------------------------------------------------------------- */
+/* Make it easy for C++ programs to include UMFPACK */
+/* -------------------------------------------------------------------------- */
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include "SuiteSparse_config.h"
+
+/* -------------------------------------------------------------------------- */
+/* size of Info and Control arrays */
+/* -------------------------------------------------------------------------- */
+
+/* These might be larger in future versions, since there are only 3 unused
+ * entries in Info, and no unused entries in Control. */
+
+#define UMFPACK_INFO 90
+#define UMFPACK_CONTROL 20
+
+/* -------------------------------------------------------------------------- */
+/* User-callable routines */
+/* -------------------------------------------------------------------------- */
+
+/* Primary routines: */
+#include "umfpack_symbolic.h"
+#include "umfpack_numeric.h"
+#include "umfpack_solve.h"
+#include "umfpack_free_symbolic.h"
+#include "umfpack_free_numeric.h"
+
+/* Alternative routines: */
+#include "umfpack_defaults.h"
+#include "umfpack_qsymbolic.h"
+#include "umfpack_wsolve.h"
+
+/* Matrix manipulation routines: */
+#include "umfpack_triplet_to_col.h"
+#include "umfpack_col_to_triplet.h"
+#include "umfpack_transpose.h"
+#include "umfpack_scale.h"
+
+/* Getting the contents of the Symbolic and Numeric opaque objects: */
+#include "umfpack_get_lunz.h"
+#include "umfpack_get_numeric.h"
+#include "umfpack_get_symbolic.h"
+#include "umfpack_save_numeric.h"
+#include "umfpack_load_numeric.h"
+#include "umfpack_save_symbolic.h"
+#include "umfpack_load_symbolic.h"
+#include "umfpack_get_determinant.h"
+
+/* Reporting routines (the above 14 routines print nothing): */
+#include "umfpack_report_status.h"
+#include "umfpack_report_info.h"
+#include "umfpack_report_control.h"
+#include "umfpack_report_matrix.h"
+#include "umfpack_report_triplet.h"
+#include "umfpack_report_vector.h"
+#include "umfpack_report_symbolic.h"
+#include "umfpack_report_numeric.h"
+#include "umfpack_report_perm.h"
+
+/* Utility routines: */
+#include "umfpack_timer.h"
+#include "umfpack_tictoc.h"
+
+/* AMD */
+#include "amd.h"
+
+/* global function pointers */
+#include "umfpack_global.h"
+
+/* -------------------------------------------------------------------------- */
+/* Version, copyright, and license */
+/* -------------------------------------------------------------------------- */
+
+#define UMFPACK_VERSION "UMFPACK V5.6.2 (Apr 25, 2013)"
+
+#define UMFPACK_COPYRIGHT \
+"UMFPACK: Copyright (c) 2005-2012 by Timothy A. Davis. All Rights Reserved.\n"
+
+#define UMFPACK_LICENSE_PART1 \
+"\nUMFPACK License:\n" \
+"\n" \
+" UMFPACK is available under alternate licenses,\n" \
+" contact T. Davis for details.\n" \
+"\n" \
+" Your use or distribution of UMFPACK or any modified version of\n" \
+" UMFPACK implies that you agree to this License.\n" \
+"\n" \
+" This library is free software; you can redistribute it and/or\n" \
+" modify it under the terms of the GNU General Public\n" \
+" License as published by the Free Software Foundation; either\n" \
+" version 2 of the License, or (at your option) any later version.\n" \
+"\n" \
+" This library is distributed in the hope that it will be useful,\n" \
+" but WITHOUT ANY WARRANTY; without even the implied warranty of\n" \
+" MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU\n" \
+" General Public License for more details.\n" \
+"\n" \
+" You should have received a copy of the GNU General Public\n" \
+" License along with this library; if not, write to the Free Software\n" \
+" Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301\n" \
+" USA\n" \
+
+#define UMFPACK_LICENSE_PART2 \
+"\n" \
+" Permission is hereby granted to use or copy this program under the\n" \
+" terms of the GNU GPL, provided that the Copyright, this License,\n" \
+" and the Availability of the original version is retained on all copies.\n" \
+" User documentation of any code that uses this code or any modified\n" \
+" version of this code must cite the Copyright, this License, the\n" \
+" Availability note, and \"Used by permission.\" Permission to modify\n" \
+" the code and to distribute modified code is granted, provided the\n" \
+" Copyright, this License, and the Availability note are retained,\n" \
+" and a notice that the code was modified is included.\n"
+
+#define UMFPACK_LICENSE_PART3 \
+"\n" \
+"Availability: http://www.suitesparse.com" \
+"\n"
+
+/* UMFPACK Version 4.5 and later will include the following definitions.
+ * As an example, to test if the version you are using is 4.5 or later:
+ *
+ * #ifdef UMFPACK_VER
+ * if (UMFPACK_VER >= UMFPACK_VER_CODE (4,5)) ...
+ * #endif
+ *
+ * This also works during compile-time:
+ *
+ * #if defined(UMFPACK_VER) && (UMFPACK >= UMFPACK_VER_CODE (4,5))
+ * printf ("This is version 4.5 or later\n") ;
+ * #else
+ * printf ("This is an early version\n") ;
+ * #endif
+ *
+ * Versions 4.4 and earlier of UMFPACK do not include a #define'd version
+ * number, although they do include the UMFPACK_VERSION string, defined
+ * above.
+ */
+
+#define UMFPACK_DATE "Apr 25, 2013"
+#define UMFPACK_VER_CODE(main,sub) ((main) * 1000 + (sub))
+#define UMFPACK_MAIN_VERSION 5
+#define UMFPACK_SUB_VERSION 6
+#define UMFPACK_SUBSUB_VERSION 2
+#define UMFPACK_VER UMFPACK_VER_CODE(UMFPACK_MAIN_VERSION,UMFPACK_SUB_VERSION)
+
+/* -------------------------------------------------------------------------- */
+/* contents of Info */
+/* -------------------------------------------------------------------------- */
+
+/* Note that umfpack_report.m must coincide with these definitions. S is
+ * the submatrix of A after removing row/col singletons and empty rows/cols. */
+
+/* returned by all routines that use Info: */
+#define UMFPACK_STATUS 0 /* UMFPACK_OK, or other result */
+#define UMFPACK_NROW 1 /* n_row input value */
+#define UMFPACK_NCOL 16 /* n_col input value */
+#define UMFPACK_NZ 2 /* # of entries in A */
+
+/* computed in UMFPACK_*symbolic and UMFPACK_numeric: */
+#define UMFPACK_SIZE_OF_UNIT 3 /* sizeof (Unit) */
+
+/* computed in UMFPACK_*symbolic: */
+#define UMFPACK_SIZE_OF_INT 4 /* sizeof (int) */
+#define UMFPACK_SIZE_OF_LONG 5 /* sizeof (SuiteSparse_long) */
+#define UMFPACK_SIZE_OF_POINTER 6 /* sizeof (void *) */
+#define UMFPACK_SIZE_OF_ENTRY 7 /* sizeof (Entry), real or complex */
+#define UMFPACK_NDENSE_ROW 8 /* number of dense rows */
+#define UMFPACK_NEMPTY_ROW 9 /* number of empty rows */
+#define UMFPACK_NDENSE_COL 10 /* number of dense rows */
+#define UMFPACK_NEMPTY_COL 11 /* number of empty rows */
+#define UMFPACK_SYMBOLIC_DEFRAG 12 /* # of memory compactions */
+#define UMFPACK_SYMBOLIC_PEAK_MEMORY 13 /* memory used by symbolic analysis */
+#define UMFPACK_SYMBOLIC_SIZE 14 /* size of Symbolic object, in Units */
+#define UMFPACK_SYMBOLIC_TIME 15 /* time (sec.) for symbolic analysis */
+#define UMFPACK_SYMBOLIC_WALLTIME 17 /* wall clock time for sym. analysis */
+#define UMFPACK_STRATEGY_USED 18 /* strategy used: sym, unsym */
+#define UMFPACK_ORDERING_USED 19 /* ordering used: colamd, amd, given */
+#define UMFPACK_QFIXED 31 /* whether Q is fixed or refined */
+#define UMFPACK_DIAG_PREFERRED 32 /* whether diagonal pivoting attempted*/
+#define UMFPACK_PATTERN_SYMMETRY 33 /* symmetry of pattern of S */
+#define UMFPACK_NZ_A_PLUS_AT 34 /* nnz (S+S'), excl. diagonal */
+#define UMFPACK_NZDIAG 35 /* nnz (diag (S)) */
+
+/* AMD statistics, computed in UMFPACK_*symbolic: */
+#define UMFPACK_SYMMETRIC_LUNZ 36 /* nz in L+U, if AMD ordering used */
+#define UMFPACK_SYMMETRIC_FLOPS 37 /* flops for LU, if AMD ordering used */
+#define UMFPACK_SYMMETRIC_NDENSE 38 /* # of "dense" rows/cols in S+S' */
+#define UMFPACK_SYMMETRIC_DMAX 39 /* max nz in cols of L, for AMD */
+
+/* 51:55 unused */
+
+/* statistcs for singleton pruning */
+#define UMFPACK_COL_SINGLETONS 56 /* # of column singletons */
+#define UMFPACK_ROW_SINGLETONS 57 /* # of row singletons */
+#define UMFPACK_N2 58 /* size of S */
+#define UMFPACK_S_SYMMETRIC 59 /* 1 if S square and symmetricly perm.*/
+
+/* estimates computed in UMFPACK_*symbolic: */
+#define UMFPACK_NUMERIC_SIZE_ESTIMATE 20 /* final size of Numeric->Memory */
+#define UMFPACK_PEAK_MEMORY_ESTIMATE 21 /* for symbolic & numeric */
+#define UMFPACK_FLOPS_ESTIMATE 22 /* flop count */
+#define UMFPACK_LNZ_ESTIMATE 23 /* nz in L, incl. diagonal */
+#define UMFPACK_UNZ_ESTIMATE 24 /* nz in U, incl. diagonal */
+#define UMFPACK_VARIABLE_INIT_ESTIMATE 25 /* initial size of Numeric->Memory*/
+#define UMFPACK_VARIABLE_PEAK_ESTIMATE 26 /* peak size of Numeric->Memory */
+#define UMFPACK_VARIABLE_FINAL_ESTIMATE 27 /* final size of Numeric->Memory */
+#define UMFPACK_MAX_FRONT_SIZE_ESTIMATE 28 /* max frontal matrix size */
+#define UMFPACK_MAX_FRONT_NROWS_ESTIMATE 29 /* max # rows in any front */
+#define UMFPACK_MAX_FRONT_NCOLS_ESTIMATE 30 /* max # columns in any front */
+
+/* exact values, (estimates shown above) computed in UMFPACK_numeric: */
+#define UMFPACK_NUMERIC_SIZE 40 /* final size of Numeric->Memory */
+#define UMFPACK_PEAK_MEMORY 41 /* for symbolic & numeric */
+#define UMFPACK_FLOPS 42 /* flop count */
+#define UMFPACK_LNZ 43 /* nz in L, incl. diagonal */
+#define UMFPACK_UNZ 44 /* nz in U, incl. diagonal */
+#define UMFPACK_VARIABLE_INIT 45 /* initial size of Numeric->Memory*/
+#define UMFPACK_VARIABLE_PEAK 46 /* peak size of Numeric->Memory */
+#define UMFPACK_VARIABLE_FINAL 47 /* final size of Numeric->Memory */
+#define UMFPACK_MAX_FRONT_SIZE 48 /* max frontal matrix size */
+#define UMFPACK_MAX_FRONT_NROWS 49 /* max # rows in any front */
+#define UMFPACK_MAX_FRONT_NCOLS 50 /* max # columns in any front */
+
+/* computed in UMFPACK_numeric: */
+#define UMFPACK_NUMERIC_DEFRAG 60 /* # of garbage collections */
+#define UMFPACK_NUMERIC_REALLOC 61 /* # of memory reallocations */
+#define UMFPACK_NUMERIC_COSTLY_REALLOC 62 /* # of costlly memory realloc's */
+#define UMFPACK_COMPRESSED_PATTERN 63 /* # of integers in LU pattern */
+#define UMFPACK_LU_ENTRIES 64 /* # of reals in LU factors */
+#define UMFPACK_NUMERIC_TIME 65 /* numeric factorization time */
+#define UMFPACK_UDIAG_NZ 66 /* nz on diagonal of U */
+#define UMFPACK_RCOND 67 /* est. reciprocal condition # */
+#define UMFPACK_WAS_SCALED 68 /* none, max row, or sum row */
+#define UMFPACK_RSMIN 69 /* min (max row) or min (sum row) */
+#define UMFPACK_RSMAX 70 /* max (max row) or max (sum row) */
+#define UMFPACK_UMIN 71 /* min abs diagonal entry of U */
+#define UMFPACK_UMAX 72 /* max abs diagonal entry of U */
+#define UMFPACK_ALLOC_INIT_USED 73 /* alloc_init parameter used */
+#define UMFPACK_FORCED_UPDATES 74 /* # of forced updates */
+#define UMFPACK_NUMERIC_WALLTIME 75 /* numeric wall clock time */
+#define UMFPACK_NOFF_DIAG 76 /* number of off-diagonal pivots */
+
+#define UMFPACK_ALL_LNZ 77 /* nz in L, if no dropped entries */
+#define UMFPACK_ALL_UNZ 78 /* nz in U, if no dropped entries */
+#define UMFPACK_NZDROPPED 79 /* # of dropped small entries */
+
+/* computed in UMFPACK_solve: */
+#define UMFPACK_IR_TAKEN 80 /* # of iterative refinement steps taken */
+#define UMFPACK_IR_ATTEMPTED 81 /* # of iter. refinement steps attempted */
+#define UMFPACK_OMEGA1 82 /* omega1, sparse backward error estimate */
+#define UMFPACK_OMEGA2 83 /* omega2, sparse backward error estimate */
+#define UMFPACK_SOLVE_FLOPS 84 /* flop count for solve */
+#define UMFPACK_SOLVE_TIME 85 /* solve time (seconds) */
+#define UMFPACK_SOLVE_WALLTIME 86 /* solve time (wall clock, seconds) */
+
+/* Info [87, 88, 89] unused */
+
+/* Unused parts of Info may be used in future versions of UMFPACK. */
+
+/* -------------------------------------------------------------------------- */
+/* contents of Control */
+/* -------------------------------------------------------------------------- */
+
+/* used in all UMFPACK_report_* routines: */
+#define UMFPACK_PRL 0 /* print level */
+
+/* used in UMFPACK_*symbolic only: */
+#define UMFPACK_DENSE_ROW 1 /* dense row parameter */
+#define UMFPACK_DENSE_COL 2 /* dense col parameter */
+#define UMFPACK_BLOCK_SIZE 4 /* BLAS-3 block size */
+#define UMFPACK_STRATEGY 5 /* auto, symmetric, or unsym. */
+#define UMFPACK_ORDERING 10 /* ordering method to use */
+#define UMFPACK_FIXQ 13 /* -1: no fixQ, 0: default, 1: fixQ */
+#define UMFPACK_AMD_DENSE 14 /* for AMD ordering */
+#define UMFPACK_AGGRESSIVE 19 /* whether or not to use aggressive */
+#define UMFPACK_SINGLETONS 11 /* singleton filter on if true */
+
+/* used in UMFPACK_numeric only: */
+#define UMFPACK_PIVOT_TOLERANCE 3 /* threshold partial pivoting setting */
+#define UMFPACK_ALLOC_INIT 6 /* initial allocation ratio */
+#define UMFPACK_SYM_PIVOT_TOLERANCE 15 /* threshold, only for diag. entries */
+#define UMFPACK_SCALE 16 /* what row scaling to do */
+#define UMFPACK_FRONT_ALLOC_INIT 17 /* frontal matrix allocation ratio */
+#define UMFPACK_DROPTOL 18 /* drop tolerance for entries in L,U */
+
+/* used in UMFPACK_*solve only: */
+#define UMFPACK_IRSTEP 7 /* max # of iterative refinements */
+
+/* compile-time settings - Control [8..11] cannot be changed at run time: */
+#define UMFPACK_COMPILED_WITH_BLAS 8 /* uses the BLAS */
+
+/* 9,12: unused */
+
+/* -------------------------------------------------------------------------- */
+
+/* Control [UMFPACK_STRATEGY] is one of the following: */
+#define UMFPACK_STRATEGY_AUTO 0 /* use sym. or unsym. strategy */
+#define UMFPACK_STRATEGY_UNSYMMETRIC 1 /* COLAMD(A), coletree postorder,
+ not prefer diag*/
+#define UMFPACK_STRATEGY_OBSOLETE 2 /* 2-by-2 is no longer available */
+#define UMFPACK_STRATEGY_SYMMETRIC 3 /* AMD(A+A'), no coletree postorder,
+ prefer diagonal */
+
+/* Control [UMFPACK_SCALE] is one of the following: */
+#define UMFPACK_SCALE_NONE 0 /* no scaling */
+#define UMFPACK_SCALE_SUM 1 /* default: divide each row by sum (abs (row))*/
+#define UMFPACK_SCALE_MAX 2 /* divide each row by max (abs (row)) */
+
+/* Control [UMFPACK_ORDERING] and Info [UMFPACK_ORDERING_USED] are one of: */
+#define UMFPACK_ORDERING_CHOLMOD 0 /* use CHOLMOD (AMD/COLAMD then METIS)*/
+#define UMFPACK_ORDERING_AMD 1 /* use AMD/COLAMD */
+#define UMFPACK_ORDERING_GIVEN 2 /* user-provided Qinit */
+#define UMFPACK_ORDERING_METIS 3 /* use METIS */
+#define UMFPACK_ORDERING_BEST 4 /* try many orderings, pick best */
+#define UMFPACK_ORDERING_NONE 5 /* natural ordering */
+#define UMFPACK_ORDERING_USER 6 /* user-provided function */
+/* AMD/COLAMD means: use AMD for symmetric strategy, COLAMD for unsymmetric */
+
+/* -------------------------------------------------------------------------- */
+/* default values of Control: */
+/* -------------------------------------------------------------------------- */
+
+#define UMFPACK_DEFAULT_PRL 1
+#define UMFPACK_DEFAULT_DENSE_ROW 0.2
+#define UMFPACK_DEFAULT_DENSE_COL 0.2
+#define UMFPACK_DEFAULT_PIVOT_TOLERANCE 0.1
+#define UMFPACK_DEFAULT_SYM_PIVOT_TOLERANCE 0.001
+#define UMFPACK_DEFAULT_BLOCK_SIZE 32
+#define UMFPACK_DEFAULT_ALLOC_INIT 0.7
+#define UMFPACK_DEFAULT_FRONT_ALLOC_INIT 0.5
+#define UMFPACK_DEFAULT_IRSTEP 2
+#define UMFPACK_DEFAULT_SCALE UMFPACK_SCALE_SUM
+#define UMFPACK_DEFAULT_STRATEGY UMFPACK_STRATEGY_AUTO
+#define UMFPACK_DEFAULT_AMD_DENSE AMD_DEFAULT_DENSE
+#define UMFPACK_DEFAULT_FIXQ 0
+#define UMFPACK_DEFAULT_AGGRESSIVE 1
+#define UMFPACK_DEFAULT_DROPTOL 0
+#define UMFPACK_DEFAULT_ORDERING UMFPACK_ORDERING_AMD
+#define UMFPACK_DEFAULT_SINGLETONS TRUE
+
+/* default values of Control may change in future versions of UMFPACK. */
+
+/* -------------------------------------------------------------------------- */
+/* status codes */
+/* -------------------------------------------------------------------------- */
+
+#define UMFPACK_OK (0)
+
+/* status > 0 means a warning, but the method was successful anyway. */
+/* A Symbolic or Numeric object was still created. */
+#define UMFPACK_WARNING_singular_matrix (1)
+
+/* The following warnings were added in umfpack_*_get_determinant */
+#define UMFPACK_WARNING_determinant_underflow (2)
+#define UMFPACK_WARNING_determinant_overflow (3)
+
+/* status < 0 means an error, and the method was not successful. */
+/* No Symbolic of Numeric object was created. */
+#define UMFPACK_ERROR_out_of_memory (-1)
+#define UMFPACK_ERROR_invalid_Numeric_object (-3)
+#define UMFPACK_ERROR_invalid_Symbolic_object (-4)
+#define UMFPACK_ERROR_argument_missing (-5)
+#define UMFPACK_ERROR_n_nonpositive (-6)
+#define UMFPACK_ERROR_invalid_matrix (-8)
+#define UMFPACK_ERROR_different_pattern (-11)
+#define UMFPACK_ERROR_invalid_system (-13)
+#define UMFPACK_ERROR_invalid_permutation (-15)
+#define UMFPACK_ERROR_internal_error (-911) /* yes, call me if you get this! */
+#define UMFPACK_ERROR_file_IO (-17)
+
+#define UMFPACK_ERROR_ordering_failed (-18)
+
+/* -------------------------------------------------------------------------- */
+/* solve codes */
+/* -------------------------------------------------------------------------- */
+
+/* Solve the system ( )x=b, where ( ) is defined below. "t" refers to the */
+/* linear algebraic transpose (complex conjugate if A is complex), or the (') */
+/* operator in MATLAB. "at" refers to the array transpose, or the (.') */
+/* operator in MATLAB. */
+
+#define UMFPACK_A (0) /* Ax=b */
+#define UMFPACK_At (1) /* A'x=b */
+#define UMFPACK_Aat (2) /* A.'x=b */
+
+#define UMFPACK_Pt_L (3) /* P'Lx=b */
+#define UMFPACK_L (4) /* Lx=b */
+#define UMFPACK_Lt_P (5) /* L'Px=b */
+#define UMFPACK_Lat_P (6) /* L.'Px=b */
+#define UMFPACK_Lt (7) /* L'x=b */
+#define UMFPACK_Lat (8) /* L.'x=b */
+
+#define UMFPACK_U_Qt (9) /* UQ'x=b */
+#define UMFPACK_U (10) /* Ux=b */
+#define UMFPACK_Q_Ut (11) /* QU'x=b */
+#define UMFPACK_Q_Uat (12) /* QU.'x=b */
+#define UMFPACK_Ut (13) /* U'x=b */
+#define UMFPACK_Uat (14) /* U.'x=b */
+
+/* -------------------------------------------------------------------------- */
+
+/* Integer constants are used for status and solve codes instead of enum */
+/* to make it easier for a Fortran code to call UMFPACK. */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* UMFPACK_H */