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fvn_sparse/UMFPACK/Source/umf_create_element.c 16.8 KB
422234dc3   daniau   git-svn-id: https...
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  /* ========================================================================== */
  /* === UMF_create_element =================================================== */
  /* ========================================================================== */
  
  /* -------------------------------------------------------------------------- */
  /* 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                       */
  /* -------------------------------------------------------------------------- */
  
  /*
      Factorization of a frontal matrix is complete.  Create a new element for
      later assembly into a subsequent frontal matrix.  Returns TRUE if
      successful, FALSE if out of memory.
  */
  
  #include "umf_internal.h"
  #include "umf_mem_alloc_element.h"
  #include "umf_mem_alloc_tail_block.h"
  #include "umf_mem_free_tail_block.h"
  #include "umf_get_memory.h"
  
  /* ========================================================================== */
  /* === copy_column ========================================================== */
  /* ========================================================================== */
  
  PRIVATE void copy_column (Int len, Entry *X, Entry *Y)
  {
      Int i ;
  #pragma ivdep
      for (i = 0 ; i < len ; i++)
      {
  	Y [i] = X [i] ;
      }
  }
  
  /* ========================================================================== */
  /* === UMF_create_element =================================================== */
  /* ========================================================================== */
  
  GLOBAL Int UMF_create_element
  (
      NumericType *Numeric,
      WorkType *Work,
      SymbolicType *Symbolic
  )
  {
      /* ---------------------------------------------------------------------- */
      /* local variables */
      /* ---------------------------------------------------------------------- */
  
      Int j, col, row, *Fcols, *Frows, fnrows, fncols, *Cols, len, needunits, t1,
  	t2, size, e, i, *E, *Fcpos, *Frpos, *Rows, eloc, fnr_curr, f,
  	got_memory, *Row_tuples, *Row_degree, *Row_tlen, *Col_tuples, max_mark,
  	*Col_degree, *Col_tlen, nn, n_row, n_col, r2, c2, do_Fcpos ;
      Entry *C, *Fcol ;
      Element *ep ;
      Unit *p, *Memory ;
      Tuple *tp, *tp1, *tp2, tuple, *tpend ;
  #ifndef NDEBUG
      DEBUG2 (("FRONTAL WRAPUP
  ")) ;
      UMF_dump_current_front (Numeric, Work, TRUE) ;
  #endif
  
      /* ---------------------------------------------------------------------- */
      /* get parameters */
      /* ---------------------------------------------------------------------- */
  
      ASSERT (Work->fnpiv == 0) ;
      ASSERT (Work->fnzeros == 0) ;
      Row_degree = Numeric->Rperm ;
      Row_tuples = Numeric->Uip ;
      Row_tlen   = Numeric->Uilen ;
      Col_degree = Numeric->Cperm ;
      Col_tuples = Numeric->Lip ;
      Col_tlen   = Numeric->Lilen ;
      n_row = Work->n_row ;
      n_col = Work->n_col ;
      nn = MAX (n_row, n_col) ;
      Fcols = Work->Fcols ;
      Frows = Work->Frows ;
      Fcpos = Work->Fcpos ;
      Frpos = Work->Frpos ;
      Memory = Numeric->Memory ;
      fncols = Work->fncols ;
      fnrows = Work->fnrows ;
  
      tp = (Tuple *) NULL ;
      tp1 = (Tuple *) NULL ;
      tp2 = (Tuple *) NULL ;
  
      /* ---------------------------------------------------------------------- */
      /* add the current frontal matrix to the degrees of each column */
      /* ---------------------------------------------------------------------- */
  
      if (!Symbolic->fixQ)
      {
  	/* but only if the column ordering is not fixed */
  #pragma ivdep
  	for (j = 0 ; j < fncols ; j++)
  	{
  	    /* add the current frontal matrix to the degree */
  	    ASSERT (Fcols [j] >= 0 && Fcols [j] < n_col) ;
  	    Col_degree [Fcols [j]] += fnrows ;
  	}
      }
  
      /* ---------------------------------------------------------------------- */
      /* add the current frontal matrix to the degrees of each row */
      /* ---------------------------------------------------------------------- */
  
  #pragma ivdep
      for (i = 0 ; i < fnrows ; i++)
      {
  	/* add the current frontal matrix to the degree */
  	ASSERT (Frows [i] >= 0 && Frows [i] < n_row) ;
  	Row_degree [Frows [i]] += fncols ;
      }
  
      /* ---------------------------------------------------------------------- */
      /* Reset the external degree counters */
      /* ---------------------------------------------------------------------- */
  
      E = Work->E ;
      max_mark = MAX_MARK (nn) ;
  
      if (!Work->pivcol_in_front)
      {
  	/* clear the external column degrees. no more Usons of current front */
  	Work->cdeg0 += (nn + 1) ;
  	if (Work->cdeg0 >= max_mark)
  	{
  	    /* guard against integer overflow.  This is very rare */
  	    DEBUG1 (("Integer overflow, cdeg
  ")) ;
  	    Work->cdeg0 = 1 ;
  #pragma ivdep
  	    for (e = 1 ; e <= Work->nel ; e++)
  	    {
  		if (E [e])
  		{
  		    ep = (Element *) (Memory + E [e]) ;
  		    ep->cdeg = 0 ;
  		}
  	    }
  	}
      }
  
      if (!Work->pivrow_in_front)
      {
  	/* clear the external row degrees.  no more Lsons of current front */
  	Work->rdeg0 += (nn + 1) ;
  	if (Work->rdeg0 >= max_mark)
  	{
  	    /* guard against integer overflow.  This is very rare */
  	    DEBUG1 (("Integer overflow, rdeg
  ")) ;
  	    Work->rdeg0 = 1 ;
  #pragma ivdep
  	    for (e = 1 ; e <= Work->nel ; e++)
  	    {
  		if (E [e])
  		{
  		    ep = (Element *) (Memory + E [e]) ;
  		    ep->rdeg = 0 ;
  		}
  	    }
  	}
      }
  
      /* ---------------------------------------------------------------------- */
      /* clear row/col offsets */
      /* ---------------------------------------------------------------------- */
  
      if (!Work->pivrow_in_front)
      {
  #pragma ivdep
  	for (j = 0 ; j < fncols ; j++)
  	{
  	    Fcpos [Fcols [j]] = EMPTY ;
  	}
      }
  
      if (!Work->pivcol_in_front)
      {
  #pragma ivdep
  	for (i = 0 ; i < fnrows ; i++)
  	{
  	    Frpos [Frows [i]] = EMPTY ;
  	}
      }
  
      if (fncols <= 0 || fnrows <= 0)
      {
  	/* no element to create */
  	DEBUG2 (("Element evaporation
  ")) ;
  	Work->prior_element = EMPTY ;
  	return (TRUE) ;
      }
  
      /* ---------------------------------------------------------------------- */
      /* create element for later assembly */
      /* ---------------------------------------------------------------------- */
  
  #ifndef NDEBUG
      UMF_allocfail = FALSE ;
      if (UMF_gprob > 0)
      {
  	double rrr = ((double) (rand ( ))) / (((double) RAND_MAX) + 1) ;
  	DEBUG4 (("Check random %e %e
  ", rrr, UMF_gprob)) ;
  	UMF_allocfail = rrr < UMF_gprob ;
  	if (UMF_allocfail) DEBUGm2 (("Random garbage collection (create)
  "));
      }
  #endif
  
      needunits = 0 ;
      got_memory = FALSE ;
      eloc = UMF_mem_alloc_element (Numeric, fnrows, fncols, &Rows, &Cols, &C,
  	&needunits, &ep) ;
  
      /* if UMF_get_memory needs to be called */
      if (Work->do_grow)
      {
  	/* full compaction of current frontal matrix, since UMF_grow_front will
  	 * be called next anyway. */
  	r2 = fnrows ;
  	c2 = fncols ;
  	do_Fcpos = FALSE ;
      }
      else
      {
  	/* partial compaction. */
  	r2 = MAX (fnrows, Work->fnrows_new + 1) ;
  	c2 = MAX (fncols, Work->fncols_new + 1) ;
  	/* recompute Fcpos if pivot row is in the front */
  	do_Fcpos = Work->pivrow_in_front ;
      }
  
      if (!eloc)
      {
  	/* Do garbage collection, realloc, and try again. */
  	/* Compact the current front if it needs to grow anyway. */
  	/* Note that there are no pivot rows or columns in the current front */
  	DEBUGm3 (("get_memory from umf_create_element, 1
  ")) ;
  	if (!UMF_get_memory (Numeric, Work, needunits, r2, c2, do_Fcpos))
  	{
  	    /* :: out of memory in umf_create_element (1) :: */
  	    DEBUGm4 (("out of memory: create element (1)
  ")) ;
  	    return (FALSE) ;	/* out of memory */
  	}
  	got_memory = TRUE ;
  	Memory = Numeric->Memory ;
  	eloc = UMF_mem_alloc_element (Numeric, fnrows, fncols, &Rows, &Cols, &C,
  	    &needunits, &ep) ;
  	ASSERT (eloc >= 0) ;
  	if (!eloc)
  	{
  	    /* :: out of memory in umf_create_element (2) :: */
  	    DEBUGm4 (("out of memory: create element (2)
  ")) ;
  	    return (FALSE) ;	/* out of memory */
  	}
      }
  
      e = ++(Work->nel) ;	/* get the name of this new frontal matrix */
      Work->prior_element = e ;
      DEBUG8 (("wrapup e "ID" nel "ID"
  ", e, Work->nel)) ;
  
      ASSERT (e > 0 && e < Work->elen) ;
      ASSERT (E [e] == 0) ;
      E [e] = eloc ;
  
      if (Work->pivcol_in_front)
      {
  	/* the new element is a Uson of the next frontal matrix */
  	ep->cdeg = Work->cdeg0 ;
      }
  
      if (Work->pivrow_in_front)
      {
  	/* the new element is an Lson of the next frontal matrix */
  	ep->rdeg = Work->rdeg0 ;
      }
  
      /* ---------------------------------------------------------------------- */
      /* copy frontal matrix into the new element */
      /* ---------------------------------------------------------------------- */
  
  #pragma ivdep
      for (i = 0 ; i < fnrows ; i++)
      {
  	Rows [i] = Frows [i] ;
      }
  #pragma ivdep
      for (i = 0 ; i < fncols ; i++)
      {
  	Cols [i] = Fcols [i] ;
      }
      Fcol = Work->Fcblock ;
      DEBUG0 (("copy front "ID" by "ID"
  ", fnrows, fncols)) ;
      fnr_curr = Work->fnr_curr ;
      ASSERT (fnr_curr >= 0 && fnr_curr % 2 == 1) ;
      for (j = 0 ; j < fncols ; j++)
      {
  	copy_column (fnrows, Fcol, C) ;
  	Fcol += fnr_curr ;
  	C += fnrows ;
      }
  
      DEBUG8 (("element copied
  ")) ;
  
      /* ---------------------------------------------------------------------- */
      /* add tuples for the new element */
      /* ---------------------------------------------------------------------- */
  
      tuple.e = e ;
  
      if (got_memory)
      {
  
  	/* ------------------------------------------------------------------ */
  	/* UMF_get_memory ensures enough space exists for each new tuple */
  	/* ------------------------------------------------------------------ */
  
  	/* place (e,f) in the element list of each column */
  	for (tuple.f = 0 ; tuple.f < fncols ; tuple.f++)
  	{
  	    col = Fcols [tuple.f] ;
  	    ASSERT (col >= 0 && col < n_col) ;
  	    ASSERT (NON_PIVOTAL_COL (col)) ;
  	    ASSERT (Col_tuples [col]) ;
  	    tp = ((Tuple *) (Memory + Col_tuples [col])) + Col_tlen [col]++ ;
  	    *tp = tuple ;
  	}
  
  	/* ------------------------------------------------------------------ */
  
  	/* place (e,f) in the element list of each row */
  	for (tuple.f = 0 ; tuple.f < fnrows ; tuple.f++)
  	{
  	    row = Frows [tuple.f] ;
  	    ASSERT (row >= 0 && row < n_row) ;
  	    ASSERT (NON_PIVOTAL_ROW (row)) ;
  	    ASSERT (Row_tuples [row]) ;
  	    tp = ((Tuple *) (Memory + Row_tuples [row])) + Row_tlen [row]++ ;
  	    *tp = tuple ;
  	}
  
      }
      else
      {
  
  	/* ------------------------------------------------------------------ */
  	/* place (e,f) in the element list of each column */
  	/* ------------------------------------------------------------------ */
  
  	/* might not have enough space for each tuple */
  
  	for (tuple.f = 0 ; tuple.f < fncols ; tuple.f++)
  	{
  	    col = Fcols [tuple.f] ;
  	    ASSERT (col >= 0 && col < n_col) ;
  	    ASSERT (NON_PIVOTAL_COL (col)) ;
  	    t1 = Col_tuples [col] ;
  	    DEBUG1 (("Placing on col:"ID" , tuples at "ID"
  ",
  		col, Col_tuples [col])) ;
  
  	    size = 0 ;
  	    len = 0 ;
  
  	    if (t1)
  	    {
  		p = Memory + t1 ;
  		tp = (Tuple *) p ;
  		size = GET_BLOCK_SIZE (p) ;
  		len = Col_tlen [col] ;
  		tp2 = tp + len ;
  	    }
  
  	    needunits = UNITS (Tuple, len + 1) ;
  	    DEBUG1 (("len: "ID" size: "ID" needunits: "ID"
  ",
  		len, size, needunits));
  
  	    if (needunits > size && t1)
  	    {
  		/* prune the tuples */
  		tp1 = tp ;
  		tp2 = tp ;
  		tpend = tp + len ;
  		for ( ; tp < tpend ; tp++)
  		{
  		    e = tp->e ;
  		    ASSERT (e > 0 && e <= Work->nel) ;
  		    if (!E [e]) continue ;   /* element already deallocated */
  		    f = tp->f ;
  		    p = Memory + E [e] ;
  		    ep = (Element *) p ;
  		    p += UNITS (Element, 1) ;
  		    Cols = (Int *) p ;
  		    ;
  		    if (Cols [f] == EMPTY) continue ;	/* already assembled */
  		    ASSERT (col == Cols [f]) ;
  		    *tp2++ = *tp ;	/* leave the tuple in the list */
  		}
  		len = tp2 - tp1 ;
  		Col_tlen [col] = len ;
  		needunits = UNITS (Tuple, len + 1) ;
  	    }
  
  	    if (needunits > size)
  	    {
  		/* no room exists - reallocate elsewhere */
  		DEBUG1 (("REALLOCATE Col: "ID", size "ID" to "ID"
  ",
  		    col, size, 2*needunits)) ;
  
  #ifndef NDEBUG
  		UMF_allocfail = FALSE ;
  		if (UMF_gprob > 0)  /* a double relop, but ignore NaN case */
  		{
  		    double rrr = ((double) (rand ( ))) /
  			(((double) RAND_MAX) + 1) ;
  		    DEBUG1 (("Check random %e %e
  ", rrr, UMF_gprob)) ;
  		    UMF_allocfail = rrr < UMF_gprob ;
  		    if (UMF_allocfail) DEBUGm2 (("Random gar. (col tuple)
  ")) ;
  		}
  #endif
  
  		needunits = MIN (2*needunits, (Int) UNITS (Tuple, nn)) ;
  		t2 = UMF_mem_alloc_tail_block (Numeric, needunits) ;
  		if (!t2)
  		{
  		    /* :: get memory in umf_create_element (1) :: */
  		    /* get memory, reconstruct all tuple lists, and return */
  		    /* Compact the current front if it needs to grow anyway. */
  		    /* Note: no pivot rows or columns in the current front */
  		    DEBUGm4 (("get_memory from umf_create_element, 1
  ")) ;
  		    return (UMF_get_memory (Numeric, Work, 0, r2, c2,do_Fcpos));
  		}
  		Col_tuples [col] = t2 ;
  		tp2 = (Tuple *) (Memory + t2) ;
  		if (t1)
  		{
  		    for (i = 0 ; i < len ; i++)
  		    {
  			*tp2++ = *tp1++ ;
  		    }
  		    UMF_mem_free_tail_block (Numeric, t1) ;
  		}
  	    }
  
  	    /* place the new (e,f) tuple in the element list of the column */
  	    Col_tlen [col]++ ;
  	    *tp2 = tuple ;
  	}
  
  	/* ------------------------------------------------------------------ */
  	/* place (e,f) in the element list of each row */
  	/* ------------------------------------------------------------------ */
  
  	for (tuple.f = 0 ; tuple.f < fnrows ; tuple.f++)
  	{
  	    row = Frows [tuple.f] ;
  	    ASSERT (row >= 0 && row < n_row) ;
  	    ASSERT (NON_PIVOTAL_ROW (row)) ;
  	    t1 = Row_tuples [row] ;
  	    DEBUG1 (("Placing on row:"ID" , tuples at "ID"
  ",
  		row, Row_tuples [row])) ;
  
  	    size = 0 ;
  	    len = 0 ;
  	    if (t1)
  	    {
  		p = Memory + t1 ;
  		tp = (Tuple *) p ;
  		size = GET_BLOCK_SIZE (p) ;
  		len = Row_tlen [row] ;
  		tp2 = tp + len ;
  	    }
  
  	    needunits = UNITS (Tuple, len + 1) ;
  	    DEBUG1 (("len: "ID" size: "ID" needunits: "ID"
  ",
  		len, size, needunits)) ;
  
  	    if (needunits > size && t1)
  	    {
  		/* prune the tuples */
  		tp1 = tp ;
  		tp2 = tp ;
  		tpend = tp + len ;
  		for ( ; tp < tpend ; tp++)
  		{
  		    e = tp->e ;
  		    ASSERT (e > 0 && e <= Work->nel) ;
  		    if (!E [e])
  		    {
  			continue ;	/* element already deallocated */
  		    }
  		    f = tp->f ;
  		    p = Memory + E [e] ;
  		    ep = (Element *) p ;
  		    p += UNITS (Element, 1) ;
  		    Cols = (Int *) p ;
  		    Rows = Cols + (ep->ncols) ;
  		    if (Rows [f] == EMPTY) continue ;	/* already assembled */
  		    ASSERT (row == Rows [f]) ;
  		    *tp2++ = *tp ;	/* leave the tuple in the list */
  		}
  		len = tp2 - tp1 ;
  		Row_tlen [row] = len ;
  		needunits = UNITS (Tuple, len + 1) ;
  	    }
  
  	    if (needunits > size)
  	    {
  		/* no room exists - reallocate elsewhere */
  		DEBUG1 (("REALLOCATE Row: "ID", size "ID" to "ID"
  ",
  		    row, size, 2*needunits)) ;
  
  #ifndef NDEBUG
  		UMF_allocfail = FALSE ;
  		if (UMF_gprob > 0)  /* a double relop, but ignore NaN case */
  		{
  		    double rrr = ((double) (rand ( ))) /
  			(((double) RAND_MAX) + 1) ;
  		    DEBUG1 (("Check random %e %e
  ", rrr, UMF_gprob)) ;
  		    UMF_allocfail = rrr < UMF_gprob ;
  		    if (UMF_allocfail) DEBUGm2 (("Random gar. (row tuple)
  ")) ;
  		}
  #endif
  
  		needunits = MIN (2*needunits, (Int) UNITS (Tuple, nn)) ;
  		t2 = UMF_mem_alloc_tail_block (Numeric, needunits) ;
  		if (!t2)
  		{
  		    /* :: get memory in umf_create_element (2) :: */
  		    /* get memory, reconstruct all tuple lists, and return */
  		    /* Compact the current front if it needs to grow anyway. */
  		    /* Note: no pivot rows or columns in the current front */
  		    DEBUGm4 (("get_memory from umf_create_element, 2
  ")) ;
  		    return (UMF_get_memory (Numeric, Work, 0, r2, c2,do_Fcpos));
  		}
  		Row_tuples [row] = t2 ;
  		tp2 = (Tuple *) (Memory + t2) ;
  		if (t1)
  		{
  		    for (i = 0 ; i < len ; i++)
  		    {
  			*tp2++ = *tp1++ ;
  		    }
  		    UMF_mem_free_tail_block (Numeric, t1) ;
  		}
  	    }
  
  	    /* place the new (e,f) tuple in the element list of the row */
  	    Row_tlen [row]++ ;
  	    *tp2 = tuple ;
  	}
  
      }
  
      /* ---------------------------------------------------------------------- */
  
  #ifndef NDEBUG
      DEBUG1 (("Done extending
  FINAL: element row pattern: len="ID"
  ", fncols));
      for (j = 0 ; j < fncols ; j++) DEBUG1 ((""ID"
  ", Fcols [j])) ;
      DEBUG1 (("FINAL: element col pattern:  len="ID"
  ", fnrows)) ;
      for (j = 0 ; j < fnrows ; j++) DEBUG1 ((""ID"
  ", Frows [j])) ;
      for (j = 0 ; j < fncols ; j++)
      {
  	col = Fcols [j] ;
  	ASSERT (col >= 0 && col < n_col) ;
  	UMF_dump_rowcol (1, Numeric, Work, col, !Symbolic->fixQ) ;
      }
      for (j = 0 ; j < fnrows ; j++)
      {
  	row = Frows [j] ;
  	ASSERT (row >= 0 && row < n_row) ;
  	UMF_dump_rowcol (0, Numeric, Work, row, TRUE) ;
      }
      if (n_row < 1000 && n_col < 1000)
      {
  	UMF_dump_memory (Numeric) ;
      }
      DEBUG1 (("New element, after filling with stuff: "ID"
  ", e)) ;
      UMF_dump_element (Numeric, Work, e, TRUE) ;
      if (nn < 1000)
      {
  	DEBUG4 (("Matrix dump, after New element: "ID"
  ", e)) ;
  	UMF_dump_matrix (Numeric, Work, TRUE) ;
      }
      DEBUG3 (("FRONTAL WRAPUP DONE
  ")) ;
  #endif
  
      return (TRUE) ;
  }