/* ========================================================================== */ /* === umfpack.h ============================================================ */ /* ========================================================================== */ /* -------------------------------------------------------------------------- */ /* UMFPACK Copyright (c) Timothy A. Davis, CISE, */ /* Univ. of Florida. All Rights Reserved. See ../Doc/License for License. */ /* web: http://www.cise.ufl.edu/research/sparse/umfpack */ /* -------------------------------------------------------------------------- */ /* 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 /* define UF_long */ #include "UFconfig.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 V5.1.0 (May 31, 2007)" #define UMFPACK_COPYRIGHT \ "UMFPACK: Copyright (c) 2005-2006 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 Lesser General Public\n" \ " License as published by the Free Software Foundation; either\n" \ " version 2.1 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" \ " Lesser General Public License for more details.\n" \ "\n" \ " You should have received a copy of the GNU Lesser 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 LGPL, 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.cise.ufl.edu/research/sparse/umfpack\n" \ "\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 "May 31, 2007" #define UMFPACK_VER_CODE(main,sub) ((main) * 1000 + (sub)) #define UMFPACK_MAIN_VERSION 5 #define UMFPACK_SUB_VERSION 1 #define UMFPACK_SUBSUB_VERSION 0 #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 (UF_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, 2by2 */ #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 */ /* statistics for 2-by-2 strategy */ #define UMFPACK_2BY2_NWEAK 51 /* number of weak diagonal entries*/ #define UMFPACK_2BY2_UNMATCHED 52 /* # of weak diagonals not matched*/ #define UMFPACK_2BY2_PATTERN_SYMMETRY 53 /* symmetry of pattern of P*S */ #define UMFPACK_2BY2_NZ_PA_PLUS_PAT 54 /* nz in PS+(PS)' */ #define UMFPACK_2BY2_NZDIAG 55 /* nz on diagonal of PS+(PS)' */ /* 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. */ /* -------------------------------------------------------------------------- */ /* Info [UMFPACK_ORDERING_USED] is one of the following: */ #define UMFPACK_ORDERING_COLAMD 0 /* COLAMD(A) */ #define UMFPACK_ORDERING_AMD 1 /* AMD(A+A') */ #define UMFPACK_ORDERING_GIVEN 2 /* Q is provided on input */ /* -------------------------------------------------------------------------- */ /* 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, unsym., or 2by2 */ #define UMFPACK_2BY2_TOLERANCE 12 /* 2-by-2 pivot tolerance */ #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 * absorption in AMD and COLAMD */ /* 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 */ #define UMFPACK_COMPILED_FOR_MATLAB 9 /* 1 if MATLAB mexFunction, etc. */ #define UMFPACK_COMPILED_WITH_GETRUSAGE 10 /* uses getrusage timer, or not */ #define UMFPACK_COMPILED_IN_DEBUG_MODE 11 /* debugging enabled (very slow!) */ /* -------------------------------------------------------------------------- */ /* 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_2BY2 2 /* AMD(PA+PA'), no coletree postorder, prefer diag(PA) where P is pseudo max transversal */ #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)) */ /* -------------------------------------------------------------------------- */ /* 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_2BY2_TOLERANCE 0.01 #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 /* 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) /* -------------------------------------------------------------------------- */ /* 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 */