about summary refs log tree commit diff
path: root/converter/other/fiasco/codec/wfalib.c
diff options
context:
space:
mode:
Diffstat (limited to 'converter/other/fiasco/codec/wfalib.c')
-rw-r--r--converter/other/fiasco/codec/wfalib.c774
1 files changed, 774 insertions, 0 deletions
diff --git a/converter/other/fiasco/codec/wfalib.c b/converter/other/fiasco/codec/wfalib.c
new file mode 100644
index 00000000..a3acb975
--- /dev/null
+++ b/converter/other/fiasco/codec/wfalib.c
@@ -0,0 +1,774 @@
+/*
+ *  wfalib.c:		Library functions both for encoding and decoding
+ *
+ *  Written by:		Ullrich Hafner
+ *		
+ *  This file is part of FIASCO («F»ractal «I»mage «A»nd «S»equence «CO»dec)
+ *  Copyright (C) 1994-2000 Ullrich Hafner <hafner@bigfoot.de>
+ */
+
+/*
+ *  $Date: 2000/07/18 15:57:28 $
+ *  $Author: hafner $
+ *  $Revision: 5.5 $
+ *  $State: Exp $
+ */
+
+#define _BSD_SOURCE 1   /* Make sure strdup() is in string.h */
+#define _XOPEN_SOURCE 500  /* Make sure strdup() is in string.h */
+
+#include "config.h"
+
+#if STDC_HEADERS
+#	include <stdlib.h>
+#endif /* not STDC_HEADERS */
+
+#include <string.h>
+
+#include "types.h"
+#include "macros.h"
+#include "error.h"
+
+#include "wfa.h"
+#include "misc.h"
+#include "wfalib.h"
+
+/*****************************************************************************
+
+				prototypes
+  
+*****************************************************************************/
+
+static unsigned
+xy_to_address (unsigned x, unsigned y, unsigned level, unsigned n);
+
+/*****************************************************************************
+
+				public code
+  
+*****************************************************************************/
+
+wfa_t *
+alloc_wfa (bool_t coding)
+/*
+ *  WFA constructor:
+ *  Initialize the WFA structure 'wfa' and allocate memory.
+ *  Flag 'coding' indicates whether WFA is used for coding or decoding.
+ *
+ *  Return value:
+ *	pointer to the new WFA structure
+ */
+{
+   wfa_t *wfa = Calloc (1, sizeof (wfa_t));
+		 
+   /*
+    *  Allocate memory
+    */
+   wfa->final_distribution = Calloc (MAXSTATES, sizeof (real_t));
+   wfa->level_of_state     = Calloc (MAXSTATES, sizeof (byte_t));
+   wfa->domain_type        = Calloc (MAXSTATES, sizeof (byte_t));
+   wfa->delta_state        = Calloc (MAXSTATES, sizeof (bool_t));
+   wfa->tree               = Calloc (MAXSTATES * MAXLABELS, sizeof (word_t));
+   wfa->x                  = Calloc (MAXSTATES * MAXLABELS, sizeof (word_t));
+   wfa->y                  = Calloc (MAXSTATES * MAXLABELS, sizeof (word_t));
+   wfa->mv_tree            = Calloc (MAXSTATES * MAXLABELS, sizeof (mv_t));
+   wfa->y_state            = Calloc (MAXSTATES * MAXLABELS, sizeof (word_t));
+   wfa->into               = Calloc (MAXSTATES * MAXLABELS * (MAXEDGES + 1),
+				     sizeof (word_t));
+   wfa->weight             = Calloc (MAXSTATES * MAXLABELS * (MAXEDGES + 1),
+				     sizeof (real_t));
+   wfa->int_weight         = Calloc (MAXSTATES * MAXLABELS * (MAXEDGES + 1),
+				     sizeof (word_t));
+   wfa->wfainfo            = Calloc (1, sizeof (wfa_info_t));;
+   wfa->prediction         = Calloc (MAXSTATES * MAXLABELS, sizeof (byte_t));
+
+   wfa->wfainfo->wfa_name   = NULL;
+   wfa->wfainfo->basis_name = NULL;
+   wfa->wfainfo->title 	    = strdup ("");
+   wfa->wfainfo->comment    = strdup ("");
+
+   /*
+    *  Initialize structure
+    */
+   {
+      unsigned  state, label;
+
+      wfa->states       = 0;
+      wfa->basis_states = 0;
+      wfa->root_state   = 0;
+      for (state = 0; state < MAXSTATES; state++) 
+      {
+	 wfa->final_distribution [state] = 0;
+	 wfa->domain_type [state]        = 0;
+	 for (label = 0; label < MAXLABELS; label++)
+	 {
+	    wfa->into [state][label][0] = NO_EDGE;
+	    wfa->tree [state][label]    = RANGE;
+	    wfa->y_state [state][label] = RANGE;
+	 }
+      }
+   }
+
+   if (coding)				/* initialize additional variables */
+      wfa->y_column = Calloc (MAXSTATES * MAXLABELS, sizeof (byte_t));
+   else
+      wfa->y_column = NULL;
+   
+   return wfa;
+}
+
+void
+free_wfa (wfa_t *wfa)
+/*
+ *  WFA destructor:
+ *  Free memory of given 'wfa'.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	'wfa' struct is discarded.
+ */
+{
+   if (wfa->wfainfo->wfa_name)
+      Free (wfa->wfainfo->wfa_name);
+   if (wfa->wfainfo->basis_name)
+      Free (wfa->wfainfo->basis_name);
+   if (wfa->wfainfo->title)
+      Free (wfa->wfainfo->title);
+   if (wfa->wfainfo->comment)
+      Free (wfa->wfainfo->comment);
+
+   Free (wfa->final_distribution);
+   Free (wfa->level_of_state);
+   Free (wfa->domain_type);
+   Free (wfa->tree);
+   Free (wfa->x);
+   Free (wfa->y);
+   Free (wfa->mv_tree);
+   Free (wfa->y_state);
+   Free (wfa->into);
+   Free (wfa->weight);
+   Free (wfa->int_weight);
+   Free (wfa->wfainfo);
+   Free (wfa->prediction);
+   Free (wfa->delta_state);
+   if (wfa->y_column)
+      Free (wfa->y_column);
+   Free (wfa);
+}
+
+real_t 
+compute_final_distribution (unsigned state, const wfa_t *wfa)
+/*
+ *  Compute the final distribution of the given 'state'.
+ *  Uses the fact that the generated 'wfa' is average preserving.
+ *
+ *  Return value:
+ *	final distribution
+ */
+{
+   unsigned label;
+   real_t   final = 0;
+
+   for (label = 0; label < MAXLABELS; label++)
+   {
+      unsigned edge;
+      int      domain;
+      
+      if (ischild (domain = wfa->tree [state][label]))
+	 final += wfa->final_distribution [domain];
+      for (edge = 0; isedge (domain = wfa->into [state][label][edge]); edge++)
+	 final += wfa->weight [state][label][edge]
+		  * wfa->final_distribution [domain];
+   }
+   
+   return final / MAXLABELS;
+}
+
+word_t *
+compute_hits (unsigned from, unsigned to, unsigned n, const wfa_t *wfa)
+/*
+ *  Selects the 'n' most popular domain images of the given 'wfa'.
+ *  Consider only linear combinations of state images
+ *  {i | 'from' <= i <= 'to'}. I.e. domains are in {i | from <= i < 'to'}
+ *  Always ensure that state 0 is among selected states even though from
+ *  may be > 0.
+ *  
+ *  Return value:
+ *	pointer to array of the most popular state images
+ *	sorted by increasing state numbers and terminated by -1
+ */
+{
+   word_t   *domains;
+   unsigned  state, label, edge;
+   int       domain;
+   pair_t   *hits = Calloc (to, sizeof (pair_t));
+
+   for (domain = 0; domain < (int) to; domain++)
+   {
+      hits [domain].value = domain;
+      hits [domain].key   = 0;
+   }
+   
+   for (state = from; state <= to; state++)
+      for (label = 0; label < MAXLABELS; label++)
+	 for (edge = 0; isedge (domain = wfa->into [state][label][edge]);
+	      edge++)
+	    hits [domain].key++;
+
+   qsort (hits + 1, to - 1, sizeof (pair_t), sort_desc_pair);
+
+   n       = min (to, n);
+   domains = Calloc (n + 1, sizeof (word_t));
+
+   for (domain = 0; domain < (int) n && (!domain || hits [domain].key);
+	domain++)
+      domains [domain] = hits [domain].value;
+   if (n != domain)
+      debug_message ("Only %d domains have been used in the luminance.",
+		     domain);
+   n = domain;
+   qsort (domains, n, sizeof (word_t), sort_asc_word);
+   domains [n] = -1;
+   
+   Free (hits);
+   
+   return domains;
+}
+
+void
+append_edge (unsigned from, unsigned into, real_t weight,
+	     unsigned label, wfa_t *wfa)
+/*
+ *  Append an edge from state 'from' to state 'into' with
+ *  the given 'label' and 'weight' to the 'wfa'.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	'wfa' structure is changed.
+ */
+{
+   unsigned new;			/* position of the new edge */
+   unsigned edge;
+
+   /*
+    *  First look where to insert the new edge:
+    *  edges are sorted by increasing 'into' values
+    */
+   for (new = 0; (isedge (wfa->into [from][label][new])
+		  && wfa->into [from][label][new] < (int) into); new++)
+      ;
+   /*
+    *  Move the edges 'n' to position 'n+1', for n = max, ..., 'new'
+    */
+   for (edge = new; isedge (wfa->into [from][label][edge]); edge++)
+      ;
+   for (edge++; edge != new; edge--)
+   {
+      wfa->into [from][label][edge]    = wfa->into [from][label][edge - 1];
+      wfa->weight [from][label][edge]  = wfa->weight [from][label][edge - 1];
+      wfa->int_weight [from][label][edge]
+	 = wfa->int_weight [from][label][edge - 1];
+   }
+   /*
+    *  Insert the new edge
+    */
+   wfa->into [from][label][edge]       = into;
+   wfa->weight [from][label][edge]     = weight;
+   wfa->int_weight [from][label][edge] = weight * 512 + 0.5;
+}
+
+void 
+remove_states (unsigned from, wfa_t *wfa)
+/* 
+ *  Remove 'wfa' states 'wfa->basis_states',...,'wfa->states' - 1.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	'wfa' structure is cleared for the given states.
+ */
+{
+   unsigned state;
+
+   for (state = from; state < wfa->states; state++)
+   {
+      unsigned label;
+      
+      for (label = 0; label < MAXLABELS; label++) 
+      {
+	 wfa->into [state][label][0]      = NO_EDGE;
+	 wfa->tree [state][label]         = RANGE;
+	 wfa->prediction [state][label]   = FALSE;
+	 wfa->y_state [state][label]      = RANGE;
+	 wfa->mv_tree [state][label].type = NONE;
+	 wfa->mv_tree [state][label].fx   = 0;
+	 wfa->mv_tree [state][label].fy   = 0;
+	 wfa->mv_tree [state][label].bx   = 0;
+	 wfa->mv_tree [state][label].by   = 0;
+      }
+      wfa->domain_type [state] = 0;
+      wfa->delta_state [state] = FALSE;
+   }
+
+   wfa->states = from;
+}
+
+void
+copy_wfa (wfa_t *dst, const wfa_t *src)
+/*
+ *  Copy WFA struct 'src' to WFA struct 'dst'.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	'dst' is filled with same data as 'src'
+ *
+ *  NOTE: size of WFA 'dst' must be at least size of WFA 'src'
+ */
+{
+   unsigned state;
+
+   memset (dst->final_distribution, 0, MAXSTATES * sizeof (real_t));
+   memset (dst->level_of_state, 0, MAXSTATES * sizeof (byte_t));
+   memset (dst->domain_type, 0, MAXSTATES * sizeof (byte_t));
+   memset (dst->mv_tree, 0, MAXSTATES * MAXLABELS * sizeof (mv_t));
+   memset (dst->tree, 0, MAXSTATES * MAXLABELS * sizeof (word_t));
+   memset (dst->x, 0, MAXSTATES * MAXLABELS * sizeof (word_t));
+   memset (dst->y, 0, MAXSTATES * MAXLABELS * sizeof (word_t));
+   memset (dst->y_state, 0, MAXSTATES * MAXLABELS * sizeof (word_t));
+   memset (dst->into, NO_EDGE,
+	   MAXSTATES * MAXLABELS * (MAXEDGES + 1) * sizeof (word_t));
+   memset (dst->weight, 0,
+	   MAXSTATES * MAXLABELS * (MAXEDGES + 1) * sizeof (real_t));
+   memset (dst->int_weight, 0,
+	   MAXSTATES * MAXLABELS * (MAXEDGES + 1) * sizeof (word_t));
+   memset (dst->prediction, 0, MAXSTATES * MAXLABELS * sizeof (byte_t));
+   memset (dst->delta_state, 0, MAXSTATES * sizeof (bool_t));
+   if (dst->y_column)
+      memset (dst->y_column, 0, MAXSTATES * MAXLABELS * sizeof (byte_t));
+
+   for (state = 0; state < MAXSTATES; state++) /* clear WFA struct */
+   {
+      unsigned label;
+      
+      for (label = 0; label < MAXLABELS; label++)
+      {
+	 dst->into [state][label][0]      = NO_EDGE;
+	 dst->tree [state][label]         = RANGE;
+	 dst->mv_tree [state][label].type = NONE;
+	 dst->y_state[state][label]       = RANGE;
+      }
+      dst->delta_state [state] = NO;
+      dst->domain_type [state] = 0;
+   }
+   
+   dst->frame_type   = src->frame_type;
+   dst->states 	     = src->states;
+   dst->basis_states = src->basis_states;
+   dst->root_state   = src->root_state;
+
+   memcpy (dst->wfainfo, src->wfainfo, sizeof (wfa_info_t));
+
+   if (dst->states == 0)		/* nothing to do */
+      return;
+
+   memcpy (dst->final_distribution, src->final_distribution,
+	   src->states * sizeof (real_t));
+   memcpy (dst->level_of_state, src->level_of_state,
+	   src->states * sizeof (byte_t));
+   memcpy (dst->domain_type, src->domain_type,
+	   src->states * sizeof (byte_t));
+   memcpy (dst->delta_state, src->delta_state,
+	   src->states * sizeof (bool_t));
+   memcpy (dst->mv_tree, src->mv_tree,
+	   src->states * MAXLABELS * sizeof (mv_t));
+   memcpy (dst->tree, src->tree,
+	   src->states * MAXLABELS * sizeof (word_t));
+   memcpy (dst->x, src->x,
+	   src->states * MAXLABELS * sizeof (word_t));
+   memcpy (dst->y, src->y,
+	   src->states * MAXLABELS * sizeof (word_t));
+   memcpy (dst->y_state, src->y_state,
+	   src->states * MAXLABELS * sizeof (word_t));
+   memcpy (dst->into, src->into,
+	   src->states * MAXLABELS * (MAXEDGES + 1) * sizeof (word_t));
+   memcpy (dst->weight, src->weight,
+	   src->states * MAXLABELS * (MAXEDGES + 1) * sizeof (real_t));
+   memcpy (dst->int_weight, src->int_weight,
+	   src->states * MAXLABELS * (MAXEDGES + 1) * sizeof (word_t));
+   memcpy (dst->prediction, src->prediction,
+	   src->states * MAXLABELS * sizeof (byte_t));
+   if (dst->y_column)
+      memcpy (dst->y_column, src->y_column,
+	      src->states * MAXLABELS * sizeof (byte_t));
+}
+
+void
+locate_subimage (unsigned orig_level, unsigned level, unsigned bintree,
+		 unsigned *x, unsigned *y, unsigned *width, unsigned *height)
+/*
+ *  Compute pixel coordinates of the subimage which 'bintree' address is given.
+ *  The level of the original image is 'orig_level' and the level of the
+ *  subimage is 'level'.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	'*x', '*y'		coordinates of the upper left corner
+ *      '*width', '*height'	size of image
+ */
+{
+   /*
+    *  Compute coordinates of the subimage
+    */
+   *x = *y = 0;				/* start at NW corner */
+   *width  = width_of_level (level);
+   *height = height_of_level (level);
+
+   if (level > orig_level)
+   {
+      error ("size of tile must be less or equal than image size.");
+      return;
+   }
+   else if (bintree >= (unsigned) (1 << (orig_level - level)))
+   {
+      error ("address out of bounds.");
+      return;
+   }
+   else if (level < orig_level)
+   {
+      unsigned mask;			/* mask for bintree -> xy conversion */
+      bool_t   hor;			/* 1 next subdivision is horizontal
+					   0 next subdivision is vertical */
+      unsigned l = orig_level - 1;	/* current level */
+      
+      hor = orig_level % 2;		/* start with vertival subdivision
+					   for square image and vice versa */
+   
+      for (mask = 1 << (orig_level - level - 1); mask; mask >>= 1, hor = !hor)
+      {
+	 if (bintree & mask)		/* change coordinates */
+	 {
+	    if (hor)			/* horizontal subdivision */
+	       *y += height_of_level (l);
+	    else			/* vertical subdivision */
+	       *x += width_of_level (l);
+	 }
+	 l--;
+      }
+   }
+}
+
+void
+compute_spiral (int *vorder, unsigned image_width, unsigned image_height,
+		unsigned tiling_exp, bool_t inc_spiral)
+/*
+ *  Compute image tiling with spiral order.
+ *  'inc_spiral' specifies whether the spiral starts in the middle
+ *  of the image (TRUE) or at the border (FALSE).
+ *  'image_width'x'image_height' define the size of the image.
+ *  The image is split into 'tiling->exp' tiles.
+ *
+ *  No return value.
+ *
+ *  Side effects:
+ *	vorder[] is filled with tiling permutation
+ */
+{
+   unsigned x, y;			/* current position */
+   unsigned xmin, xmax, ymin, ymax;	/* boundaries for current line */
+   unsigned width, height;		/* offset for each tile */
+   unsigned lx, ly, level;		/* level x and y */
+   unsigned tiles;			/* total number of tiles */
+   unsigned address;			/* bintree address */
+   
+   lx     = log2 (image_width - 1) + 1;
+   ly     = log2 (image_height - 1) + 1;
+   level  = max (lx, ly) * 2 - ((ly == lx + 1) ? 1 : 0);
+   tiles  = 1 << tiling_exp;		/* Number of image tiles */
+   width  = width_of_level (level - tiling_exp);
+   height = height_of_level (level - tiling_exp);
+   for (address = 0; address < tiles; address++)
+   {
+      unsigned x0, y0, width, height;
+      
+      locate_subimage (level, level - tiling_exp, address,
+		       &x0, &y0, &width, &height);
+      vorder [address] = (x0 < image_width && y0 < image_height) ? 0 : -1;
+   }
+
+   xmin    = 0;
+   xmax    = width_of_level (level);
+   ymin    = 0;
+   ymax    = height_of_level (level);
+   address = 0;
+
+   /*
+    *  1234
+    *  CDE5  Traverse image in spiral order 
+    *  BGF6  starting at the top left corner
+    *  A987
+    */
+   while (TRUE)
+   {
+      for (x = xmin, y = ymin; x < xmax; x += width) /* W>E */
+      {
+	 while (vorder [address] == -1)
+	    address++;
+	 if (x < image_width && y < image_height) /* valid range */
+	    vorder [address++] = xy_to_address (x, y, level, tiling_exp);
+	 while (address < tiles && vorder [address] == -1)
+	    address++;
+      }
+      ymin += height;
+
+      if (address >= tiles)
+	 break;
+      
+      for (x = xmax - width, y = ymin; y < ymax; y += height) /* N>S  */
+      {
+	 while (vorder [address] == -1)
+	    address++;
+	 if (x <= image_width && y <= image_height) /* valid range */
+	    vorder [address++] = xy_to_address (x, y, level, tiling_exp);
+	 while (address < tiles && vorder [address] == -1)
+	    address++;
+      }
+      xmax -= width;
+
+      if (address >= tiles)
+	 break;
+
+      for (x = xmax - width, y = ymax - width; x >= xmin; x -= width) /* E<W */
+      {
+	 while (vorder [address] == -1)
+	    address++;
+	 if (x <= image_width && y <= image_height) /* valid range */
+	    vorder [address++] = xy_to_address (x, y, level, tiling_exp);
+	 while (address < tiles && vorder [address] == -1)
+	    address++;
+      }
+      ymax -= height;
+
+      if (address >= tiles)
+	 break;
+
+      for (x = xmin, y = ymax - height; y >= ymin; y -= height)	/* S>N */
+      {
+	 while (vorder [address] == -1)
+	    address++;
+	 if (x <= image_width && y <= image_height) /* valid range */
+	    vorder [address++] = xy_to_address (x, y, level, tiling_exp);
+	 while (address < tiles && vorder [address] == -1)
+	    address++;
+      }
+      xmin += width;
+	 
+      if (address >= tiles)
+	 break;
+   }
+
+   if (inc_spiral)
+   {
+      int i = 0, j = tiles - 1;
+
+      while (i < j)
+      {
+	 int tmp;
+	    
+	 while (vorder [i] == -1)
+	    i++;
+	 while (vorder [j] == -1)
+	    j--;
+	    
+	 tmp 	       = vorder [i];
+	 vorder [i] = vorder [j];
+	 vorder [j] = tmp;
+	 i++;
+	 j--;
+      }
+   }
+   /*
+    *  Print tiling info
+    */
+   {
+      unsigned number;
+      
+      for (number = 0, address = 0; address < tiles; address++)
+	 if (vorder [address] != -1)
+	    debug_message ("number %d: address %d",
+			   number++, vorder [address]);
+   }
+}
+
+bool_t
+find_range (unsigned x, unsigned y, unsigned band,
+	    const wfa_t *wfa, unsigned *range_state, unsigned *range_label)
+/*
+ *  Find a range ('*range_state', '*range_label') that contains
+ *  pixel ('x', 'y') in the iven color 'band'.
+ *
+ *  Return value:
+ *	TRUE on success, or FALSE if there is no such range
+ *
+ *  Side effects:
+ *	'*range_state' and '*range_label' are modified on success.
+ */
+{
+   unsigned state, label;
+   unsigned first_state, last_state;
+   bool_t   success = NO;
+   
+   first_state = wfa->basis_states;
+   last_state  = wfa->states;
+   if (wfa->wfainfo->color)
+      switch (band)
+      {
+	 case Y:
+	    first_state = wfa->basis_states;
+	    last_state  = wfa->tree [wfa->tree [wfa->root_state][0]][0];
+	    break;
+	 case Cb:
+	    first_state = wfa->tree [wfa->tree [wfa->root_state][0]][0] + 1;
+	    last_state  = wfa->tree [wfa->tree [wfa->root_state][0]][1];
+	    break;
+	 case Cr:
+	    first_state = wfa->tree [wfa->tree [wfa->root_state][0]][1] + 1;
+	    last_state  = wfa->states;
+	    break;
+	 default:
+	    error ("unknown color component.");
+      }
+
+   for (state = first_state; state < last_state; state++)
+      for (label = 0; label < MAXLABELS; label++)
+	 if (isrange (wfa->tree [state][label]))
+	    if (x >= wfa->x [state][label] && y >= wfa->y [state][label]
+		&& x < (unsigned) (wfa->x [state][label]
+			+ width_of_level (wfa->level_of_state [state] - 1))
+		&& y < (unsigned) (wfa->y [state][label]
+			+ height_of_level (wfa->level_of_state [state] - 1))) 
+	    {
+	       success      = YES;
+	       *range_state = state;
+	       *range_label = label;
+
+	       return success;
+	    }
+
+   return success;
+}
+
+void
+sort_ranges (unsigned state, unsigned *domain,
+	     range_sort_t *rs, const wfa_t *wfa)
+/*
+ *  Generate list of ranges in coder order.
+ *  'state' is the current state of the call tree while 'domain' is the
+ *  index of the last added WFA state.
+ *
+ *  Side effects:
+ *	'domain' is incremented after recursion returns
+ *	'rs'	 is filled accordingly
+ *
+ *  No return value.
+ */
+{
+   unsigned label;
+   
+   for (label = 0; label < MAXLABELS; label++)
+   {
+      if (isrange (wfa->tree [state][label]))
+	 rs->range_subdivided [rs->range_no] = NO;
+      else
+      {
+	 sort_ranges (wfa->tree [state][label], domain, rs, wfa);
+	 rs->range_subdivided [rs->range_no] = YES;
+      }
+
+      rs->range_state [rs->range_no]      = state;
+      rs->range_label [rs->range_no]      = label;
+      rs->range_max_domain [rs->range_no] = *domain;
+      while (!usedomain (rs->range_max_domain [rs->range_no], wfa))
+	 rs->range_max_domain [rs->range_no]--;
+
+      if (label == 1 || !rs->range_subdivided [rs->range_no])
+	 rs->range_no++;
+   }
+   
+   (*domain)++;
+}
+
+bool_t
+locate_delta_images (wfa_t *wfa)
+/*
+ *  Locate all WFA states that are part of a delta approximation.
+ *  I.e., these states are assigned to ranges that have been predicted
+ *  via MC or ND.
+ *
+ *  Return value:
+ *	TRUE	at least one state is part of a delta approximation
+ *	FALSE	no delta approximations in this WFA
+ *
+ *  Side effects:
+ *	'wfa->delta [state][label]' is set accordingly.
+ */
+{
+   unsigned state, label;
+   bool_t   delta = NO;
+
+   for (state = wfa->root_state; state >= wfa->basis_states; state--)
+      wfa->delta_state [state] = NO;
+
+   for (state = wfa->root_state; state >= wfa->basis_states; state--)
+      for (label = 0; label < MAXLABELS; label++)
+	 if (ischild (wfa->tree [state][label]))
+	    if (wfa->mv_tree [state][label].type != NONE
+		|| isedge (wfa->into [state][label][0])
+		|| wfa->delta_state [state])
+	    {
+	       delta = YES;
+	       wfa->delta_state [wfa->tree [state][label]] = YES;
+	    }
+
+   return delta;
+}
+
+/*****************************************************************************
+
+				private code
+  
+******************************************************************************/
+
+static unsigned
+xy_to_address (unsigned x, unsigned y, unsigned level, unsigned n)
+/*
+ *  Compute bintree address of subimage at coordinates ('x', 'y').
+ *  Size of original image is determined by 'level'.
+ *  'n' specifies number of iterations.
+ *
+ *  Return value:
+ *	address of subimage
+ */ 
+{ 
+   unsigned address = 0;
+
+   while (n--)
+   {
+      address <<= 1;
+      if (--level % 2) 
+      {
+	 if (x & width_of_level (level))
+	    address++;
+      }
+      else
+      {
+	 if (y & height_of_level (level))
+	    address++;
+      }
+   }
+   
+   return address;
+}