/* ========================================================================== */ /* === Supernodal/cholmod_super_solve ======================================= */ /* ========================================================================== */ /* ----------------------------------------------------------------------------- * CHOLMOD/Supernodal Module. Copyright (C) 2005-2006, Timothy A. Davis * http://www.suitesparse.com * -------------------------------------------------------------------------- */ /* Solve Lx=b or L'x=b for a supernodal factorization. These routines do not * apply the permutation L->Perm. See cholmod_solve for a more general * interface that performs that operation. */ #ifndef NGPL #ifndef NSUPERNODAL #include "cholmod_internal.h" #include "cholmod_supernodal.h" /* ========================================================================== */ /* === TEMPLATE ============================================================= */ /* ========================================================================== */ #define REAL #include "t_cholmod_super_solve.c" #define COMPLEX #include "t_cholmod_super_solve.c" /* ========================================================================== */ /* === cholmod_super_lsolve ================================================= */ /* ========================================================================== */ /* Solve Lx=b where x and b are of size n-by-nrhs. b is overwritten by the * solution x. On input, b is stored in col-major order with leading dimension * of d, and on output x is stored in the same manner. * * The contents of the workspace E are undefined on both input and output. * * workspace: none */ int CHOLMOD(super_lsolve) /* TRUE if OK, FALSE if BLAS overflow occured */ ( /* ---- input ---- */ cholmod_factor *L, /* factor to use for the forward solve */ /* ---- output ---- */ cholmod_dense *X, /* b on input, solution to Lx=b on output */ /* ---- workspace ---- */ cholmod_dense *E, /* workspace of size nrhs*(L->maxesize) */ /* --------------- */ cholmod_common *Common ) { /* ---------------------------------------------------------------------- */ /* check inputs */ /* ---------------------------------------------------------------------- */ RETURN_IF_NULL_COMMON (FALSE) ; RETURN_IF_NULL (L, FALSE) ; RETURN_IF_NULL (X, FALSE) ; RETURN_IF_NULL (E, FALSE) ; RETURN_IF_XTYPE_INVALID (L, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; RETURN_IF_XTYPE_INVALID (X, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; RETURN_IF_XTYPE_INVALID (E, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; if (L->xtype != X->xtype) { ERROR (CHOLMOD_INVALID, "L and X must have the same xtype") ; return (FALSE) ; } if (L->xtype != E->xtype) { ERROR (CHOLMOD_INVALID, "L and E must have the same xtype") ; return (FALSE) ; } if (X->d < X->nrow || L->n != X->nrow) { ERROR (CHOLMOD_INVALID, "X and L dimensions must match") ; return (FALSE) ; } if (E->nzmax < X->ncol * (L->maxesize)) { ERROR (CHOLMOD_INVALID, "workspace E not large enough") ; return (FALSE) ; } if (!(L->is_ll) || !(L->is_super)) { ERROR (CHOLMOD_INVALID, "L not supernodal") ; return (FALSE) ; } Common->status = CHOLMOD_OK ; ASSERT (IMPLIES (L->n == 0, L->nsuper == 0)) ; if (L->n == 0 || X->ncol == 0) { /* nothing to do */ return (TRUE) ; } /* ---------------------------------------------------------------------- */ /* solve Lx=b using template routine */ /* ---------------------------------------------------------------------- */ switch (L->xtype) { case CHOLMOD_REAL: r_cholmod_super_lsolve (L, X, E, Common) ; break ; case CHOLMOD_COMPLEX: c_cholmod_super_lsolve (L, X, E, Common) ; break ; } if (CHECK_BLAS_INT && !Common->blas_ok) { ERROR (CHOLMOD_TOO_LARGE, "problem too large for the BLAS") ; } return (Common->blas_ok) ; } /* ========================================================================== */ /* === cholmod_super_ltsolve ================================================ */ /* ========================================================================== */ /* Solve L'x=b where x and b are of size n-by-nrhs. b is overwritten by the * solution x. On input, b is stored in col-major order with leading dimension * of d, and on output x is stored in the same manner. * * The contents of the workspace E are undefined on both input and output. * * workspace: none */ int CHOLMOD(super_ltsolve) /* TRUE if OK, FALSE if BLAS overflow occured */ ( /* ---- input ---- */ cholmod_factor *L, /* factor to use for the backsolve */ /* ---- output ---- */ cholmod_dense *X, /* b on input, solution to L'x=b on output */ /* ---- workspace ---- */ cholmod_dense *E, /* workspace of size nrhs*(L->maxesize) */ /* --------------- */ cholmod_common *Common ) { /* ---------------------------------------------------------------------- */ /* check inputs */ /* ---------------------------------------------------------------------- */ RETURN_IF_NULL_COMMON (FALSE) ; RETURN_IF_NULL (L, FALSE) ; RETURN_IF_NULL (X, FALSE) ; RETURN_IF_NULL (E, FALSE) ; RETURN_IF_XTYPE_INVALID (L, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; RETURN_IF_XTYPE_INVALID (X, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; RETURN_IF_XTYPE_INVALID (E, CHOLMOD_REAL, CHOLMOD_COMPLEX, FALSE) ; if (L->xtype != X->xtype) { ERROR (CHOLMOD_INVALID, "L and X must have the same xtype") ; return (FALSE) ; } if (L->xtype != E->xtype) { ERROR (CHOLMOD_INVALID, "L and E must have the same xtype") ; return (FALSE) ; } if (X->d < X->nrow || L->n != X->nrow) { ERROR (CHOLMOD_INVALID, "X and L dimensions must match") ; return (FALSE) ; } if (E->nzmax < X->ncol * (L->maxesize)) { ERROR (CHOLMOD_INVALID, "workspace E not large enough") ; return (FALSE) ; } if (!(L->is_ll) || !(L->is_super)) { ERROR (CHOLMOD_INVALID, "L not supernodal") ; return (FALSE) ; } Common->status = CHOLMOD_OK ; ASSERT (IMPLIES (L->n == 0, L->nsuper == 0)) ; if (L->n == 0 || X->ncol == 0) { /* nothing to do */ return (TRUE) ; } /* ---------------------------------------------------------------------- */ /* solve Lx=b using template routine */ /* ---------------------------------------------------------------------- */ switch (L->xtype) { case CHOLMOD_REAL: r_cholmod_super_ltsolve (L, X, E, Common) ; break ; case CHOLMOD_COMPLEX: c_cholmod_super_ltsolve (L, X, E, Common) ; break ; } if (CHECK_BLAS_INT && !Common->blas_ok) { ERROR (CHOLMOD_TOO_LARGE, "problem too large for the BLAS") ; } return (Common->blas_ok) ; } #endif #endif