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//------------------------------------------------------------------------------
// CHOLMOD/Modify/t_cholmod_updown_wdim: template for t_cholmod_updown_worker
//------------------------------------------------------------------------------
// CHOLMOD/Modify Module. Copyright (C) 2005-2023, Timothy A. Davis,
// and William W. Hager. All Rights Reserved.
// SPDX-License-Identifier: GPL-2.0+
//------------------------------------------------------------------------------
// Updates/downdates the LDL' factorization, by computing a new factorization of
//
// Lnew * Dnew * Lnew' = Lold * Dold * Lold' +/- C*C'
//
// This file is not compiled separately. It is #included twice into
// t_cholmod_updown_worker.c, to create all the kernels for double and single
// precision update/downdate. There are no user-callable routines in this
// file.
//
// The next #include statements, below, create the numerical update/downdate
// kernels from t_cholmod_updown_numkr.c. For the double case, there are 4
// compiled versions of this file, one for each value of WDIM in the set 1, 2,
// 4, and 8. Each calls multiple versions of t_cholmod_updown_numkr; the
// number of versions of each is equal to WDIM. Each t_cholmod_updown_numkr
// version is #included as a static function within its t_cholmod_updown_wdim.c
// caller routine. Thus, for the double case:
//
// t*_updown_wdim.c creates these versions of t_cholmod_updown_numkr.c:
// ---------------- ---------------------------------------------------
//
// d_updown_1_r d_updown_1_1
//
// d_updown_2_r d_updown_2_1 d_updown_2_2
//
// d_updown_4_r d_updown_4_1 d_updown_4_2 d_updown_4_3 d_updown_4_4
//
// d_updown_8_r d_updown_8_1 d_updown_8_2 d_updown_8_3 d_updown_8_4
// d_updown_8_5 d_updown_8_6 d_updown_8_7 d_updown_8_8
//
// For the single (float) case, all the functions are named s_updown_*_*.
//
// workspace: Xwork (nrow*wdim)
//------------------------------------------------------------------------------
// routines for numeric update/downdate along one path
//------------------------------------------------------------------------------
#define RANK 1
#include "t_cholmod_updown_numkr.c"
#if WDIM >= 2
#define RANK 2
#include "t_cholmod_updown_numkr.c"
#endif
#if WDIM >= 4
#define RANK 3
#include "t_cholmod_updown_numkr.c"
#define RANK 4
#include "t_cholmod_updown_numkr.c"
#endif
#if WDIM == 8
#define RANK 5
#include "t_cholmod_updown_numkr.c"
#define RANK 6
#include "t_cholmod_updown_numkr.c"
#define RANK 7
#include "t_cholmod_updown_numkr.c"
#define RANK 8
#include "t_cholmod_updown_numkr.c"
#endif
//------------------------------------------------------------------------------
// numeric update/downdate for all paths
//------------------------------------------------------------------------------
static void UPDOWN (WDIM, r) // WDIM is a compile-time constant (1,2,4, or 8)
(
int update, // TRUE for update, FALSE for downdate
cholmod_sparse *C, // in packed or unpacked, and sorted form
// no empty columns
Int rank, // rank of the update/downdate
cholmod_factor *L, // with unit diagonal (diagonal not stored)
// temporary workspaces:
Real W [ ], // n-by-WDIM dense matrix, initially zero
Path_type Path [ ],
Int npaths,
Int mask [ ], // size n
Int maskmark,
cholmod_common *Common
)
{
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
Real Alpha [8] ;
Real *Cx, *Wpath, *W1, *a ;
Int i, j, p, ccol, pend, wfirst, e, path, packed ;
Int *Ci, *Cp, *Cnz ;
Ci = C->i ;
Cx = C->x ;
Cp = C->p ;
Cnz = C->nz ;
packed = C->packed ;
ASSERT (IMPLIES (!packed, Cnz != NULL)) ;
ASSERT (L->n == C->nrow) ;
DEBUG (CHOLMOD(dump_real) ("num_d: in W:", W, L->dtype,
WDIM, L->n, FALSE, 1, Common)) ;
//--------------------------------------------------------------------------
// scatter C into W
//--------------------------------------------------------------------------
for (path = 0 ; path < rank ; path++)
{
// W (:, path) = C (:, Path [path].col)
ccol = Path [path].ccol ;
Wpath = W + path ;
PRINT1 (("Ordered Columns [path = "ID"] = "ID"\n", path, ccol)) ;
p = Cp [ccol] ;
pend = (packed) ? (Cp [ccol+1]) : (p + Cnz [ccol]) ;
// column C can be empty
for ( ; p < pend ; p++)
{
i = Ci [p] ;
ASSERT (i >= 0 && i < (Int) (C->nrow)) ;
if (mask == NULL || mask [i] < maskmark)
{
Wpath [WDIM * i] = Cx [p] ;
}
PRINT1 ((" row "ID" : %g mask "ID"\n", i, Cx [p],
(mask) ? mask [i] : 0)) ;
}
Alpha [path] = 1.0 ;
}
DEBUG (CHOLMOD(dump_real) ("num_d: W:", W, L->dtype,
WDIM, L->n, FALSE, 1,Common)) ;
//--------------------------------------------------------------------------
// numeric update/downdate of the paths
//--------------------------------------------------------------------------
// for each disjoint subpath in Tbar in DFS order do
for (path = rank ; path < npaths ; path++)
{
// determine which columns of W to use
wfirst = Path [path].wfirst ;
e = Path [path].end ;
j = Path [path].start ;
ASSERT (e >= 0 && e < (Int) (L->n)) ;
ASSERT (j >= 0 && j < (Int) (L->n)) ;
W1 = W + wfirst ; // pointer to row 0, column wfirst of W
a = Alpha + wfirst ; // pointer to Alpha [wfirst]
PRINT1 (("Numerical update/downdate of path "ID"\n", path)) ;
PRINT1 (("start "ID" end "ID" wfirst "ID" rank "ID" ccol "ID"\n", j, e,
wfirst, Path [path].rank, Path [path].ccol)) ;
#if WDIM == 1
UPDOWN (WDIM,1) (update, j, e, a, W1, L, Common) ;
#else
switch (Path [path].rank)
{
case 1:
UPDOWN (WDIM,1) (update, j, e, a, W1, L, Common) ;
break ;
#if WDIM >= 2
case 2:
UPDOWN (WDIM,2) (update, j, e, a, W1, L, Common) ;
break ;
#endif
#if WDIM >= 4
case 3:
UPDOWN (WDIM,3) (update, j, e, a, W1, L, Common) ;
break ;
case 4:
UPDOWN (WDIM,4) (update, j, e, a, W1, L, Common) ;
break ;
#endif
#if WDIM == 8
case 5:
UPDOWN (WDIM,5) (update, j, e, a, W1, L, Common) ;
break ;
case 6:
UPDOWN (WDIM,6) (update, j, e, a, W1, L, Common) ;
break ;
case 7:
UPDOWN (WDIM,7) (update, j, e, a, W1, L, Common) ;
break ;
case 8:
UPDOWN (WDIM,8) (update, j, e, a, W1, L, Common) ;
break ;
#endif
}
#endif
}
}
// prepare for the next inclusion of this file in t_cholmod_updown_worker.c
#undef WDIM
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