upgraded ttf2pt1 to 3.4.3.
authorkramm <kramm>
Sat, 5 Jul 2003 17:39:02 +0000 (17:39 +0000)
committerkramm <kramm>
Sat, 5 Jul 2003 17:39:02 +0000 (17:39 +0000)
pdf2swf/ttf2pt1/bdf.c [new file with mode: 0644]
pdf2swf/ttf2pt1/bitmap.c [new file with mode: 0644]

diff --git a/pdf2swf/ttf2pt1/bdf.c b/pdf2swf/ttf2pt1/bdf.c
new file mode 100644 (file)
index 0000000..9f6c727
--- /dev/null
@@ -0,0 +1,660 @@
+/*
+ * The font parser for the BDF files
+ *
+ * Copyright (c) 2001 by the TTF2PT1 project
+ * Copyright (c) 2001 by Sergey Babkin
+ *
+ * see COPYRIGHT for the full copyright notice
+ */
+
+#include <stdio.h>
+#include <string.h>
+#include <stdlib.h>
+#include <ctype.h>
+#include "pt1.h"
+#include "global.h"
+
+/* prototypes of call entries */
+static void openfont(char *fname, char *arg);
+static void closefont( void);
+static int getnglyphs ( void);
+static int glnames( GLYPH *glyph_list);
+static void readglyphs( GLYPH *glyph_list);
+static int glenc( GLYPH *glyph_list, int *encoding, int *unimap);
+static void fnmetrics( struct font_metrics *fm);
+static void glpath( int glyphno, GLYPH *glyph_list);
+static void kerning( GLYPH *glyph_list);
+
+/* globals */
+
+/* front-end descriptor */
+struct frontsw bdf_sw = {
+       /*name*/       "bdf",
+       /*descr*/      "BDF bitmapped fonts",
+       /*suffix*/     { "bdf" },
+       /*open*/       openfont,
+       /*close*/      closefont,
+       /*nglyphs*/    getnglyphs,
+       /*glnames*/    glnames,
+       /*glmetrics*/  readglyphs,
+       /*glenc*/      glenc,
+       /*fnmetrics*/  fnmetrics,
+       /*glpath*/     glpath,
+       /*kerning*/    kerning,
+};
+
+/* statics */
+
+#define MAXLINE        10240 /* maximal line length in the input file */
+
+static int lineno; /* line number */
+
+#define GETLEN(s)      s, (sizeof(s)-1)
+#define LENCMP(str, txt)       strncmp(str, txt, sizeof(txt)-1)
+
+static FILE *bdf_file;
+static int nglyphs;
+static struct font_metrics fmet;
+
+/* many BDF fonts are of small pixel size, so we better try
+ * to scale them by an integer to keep the dimensions in
+ * whole pixels. However if the size is too big and a non-
+ * integer scaling is needed, we use the standard ttf2pt1's
+ * scaling abilities.
+ */
+static int pixel_size;
+static int scale;
+static int scale_external;
+
+static char *slant;
+static char xlfdname[201];
+static char *spacing;
+static char *charset_reg;
+static char *charset_enc;
+static char *fnwidth;
+static int is_unicode = 0;
+
+/* tempoary storage for returning data to ttf2pt1 later on request */
+static int maxenc = 0;
+static int *fontenc;
+static GENTRY **glpaths;
+
+static int got_glyphs = 0;
+static GLYPH *glyphs;
+static int curgl;
+
+static int readfile(FILE *f, int (*strfunc)(int len, char *str));
+
+/*
+ * Read the file and parse each string with strfunc(),
+ * until strfunc() returns !=0 or the end of file happens.
+ * Returns -1 on EOF or strfunc() returning <0, else 0
+ */
+
+static int
+readfile(
+       FILE *f,
+       int (*strfunc)(int len, char *str)
+)
+{
+       static char str[MAXLINE]; /* input line, maybe should be dynamic ? */
+       char *s;
+       int len, c, res;
+
+       len=0;
+       while(( c=getc(f) )!=EOF) {
+               if(c=='\n') {
+                       str[len]=0;
+
+                       res = strfunc(len, str);
+                       lineno++;
+                       if(res<0)
+                               return -1;
+                       else if(res!=0)
+                               return 0;
+
+                       len=0;
+               } else if(len<MAXLINE-1) {
+                       if(c!='\r')
+                               str[len++]=c;
+               } else {
+                       fprintf(stderr, "**** bdf: line %d is too long (>%d)\n", lineno, MAXLINE-1);
+                       exit(1);
+               }
+       }
+       return -1; /* EOF */
+}
+
+/*
+ * Parse the header of the font file. 
+ * Stop after the line CHARS is encountered. Ignore the unknown lines.
+ */
+
+struct line {
+       char *name; /* property name with trailing space */
+       int namelen; /* length of the name string */
+       enum {
+               ALLOW_REPEAT = 0x01, /* this property may be repeated in multiple lines */
+               IS_SEEN = 0x02, /* this property has been seen already */
+               MUST_SEE = 0x04, /* this property must be seen */
+               IS_LAST = 0x08 /* this is the last property to be read */
+       } flags;
+       char *fmt; /* format string for the arguments, NULL means a string arg */
+       int nvals; /* number of values to be read by sscanf */
+       void *vp[4]; /* pointers to values to be read */
+};
+               
+static struct line header[] = {
+       { GETLEN("FONT "), 0, " %200s", 1, {&xlfdname} },
+       { GETLEN("SIZE "), MUST_SEE, " %d", 1, {&pixel_size} },
+       { GETLEN("FONTBOUNDINGBOX "), MUST_SEE, " %hd %hd %hd %hd", 4, 
+               {&fmet.bbox[2], &fmet.bbox[3], &fmet.bbox[0], &fmet.bbox[1]} },
+       { GETLEN("FAMILY_NAME "), MUST_SEE, NULL, 1, {&fmet.name_family} },
+       { GETLEN("WEIGHT_NAME "), MUST_SEE, NULL, 1, {&fmet.name_style} },
+       { GETLEN("COPYRIGHT "), 0, NULL, 1, {&fmet.name_copyright} },
+       { GETLEN("SLANT "), MUST_SEE, NULL, 1, {&slant} },
+       { GETLEN("SPACING "), 0, NULL, 1, {&spacing} },
+       { GETLEN("SETWIDTH_NAME "), 0, NULL, 1, {&fnwidth} },
+       { GETLEN("CHARSET_REGISTRY "), 0, NULL, 1, {&charset_reg} },
+       { GETLEN("CHARSET_ENCODING "), 0, NULL, 1, {&charset_enc} },
+       { GETLEN("FONT_ASCENT "), 0, " %hd", 1, {&fmet.ascender} },
+       { GETLEN("FONT_DESCENT "), 0, " %hd", 1, {&fmet.descender} },
+
+       /* these 2 must go in this order for post-processing */
+       { GETLEN("UNDERLINE_THICKNESS "), 0, " %hd", 1, {&fmet.underline_thickness} },
+       { GETLEN("UNDERLINE_POSITION "), 0, " %hd", 1, {&fmet.underline_position} },
+
+       { GETLEN("CHARS "), MUST_SEE|IS_LAST, " %d", 1, {&nglyphs} },
+       { NULL, 0, 0 } /* end mark: name==NULL */
+};
+
+static int
+handle_header(
+       int len,
+       char *str
+)
+{
+       struct line *cl;
+       char *s, *p;
+       int c;
+
+#if 0
+       fprintf(stderr, "line: %s\n", str);
+#endif
+       for(cl = header; cl->name != 0; cl++) {
+               if(strncmp(str, cl->name, cl->namelen))
+                       continue;
+#if 0
+               fprintf(stderr, "match: %s\n", cl->name);
+#endif
+               if(cl->flags & IS_SEEN) {
+                       if(cl->flags & ALLOW_REPEAT)
+                               continue;
+                       
+                       fprintf(stderr, "**** input line %d redefines the property %s\n", lineno, cl->name);
+                       exit(1);
+               }
+               cl->flags |= IS_SEEN;
+               if(cl->fmt == 0) {
+                       s = malloc(len - cl->namelen + 1);
+                       if(s == 0) {
+                               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+                               exit(255);
+                       }
+                       *((char **)(cl->vp[0])) = s;
+
+                       /* skip until a quote */
+                       for(p = str+cl->namelen; (c = *p)!=0; p++) {
+                               if(c == '"') {
+                                       p++;
+                                       break;
+                               }
+                       }
+                       for(; (c = *p)!=0; p++) {
+                               if(c == '"') {
+                                       c = *++p;
+                                       if(c == '"')
+                                               *s++ = c;
+                                       else
+                                               break;
+                               } else
+                                       *s++ = c;
+                       }
+                       *s = 0; /* end of line */
+               } else {
+                       c = sscanf(str+cl->namelen, cl->fmt, cl->vp[0], cl->vp[1], cl->vp[2], cl->vp[3]);
+                       if(c != cl->nvals) {
+                               fprintf(stderr, "**** property %s at input line %d must have %d arguments\n", 
+                                       cl->name, lineno, cl->nvals);
+                               exit(1);
+                       }
+               }
+               if(cl->flags & IS_LAST)
+                       return 1;
+               else
+                       return 0;
+       }
+       return 0;
+}
+
+/*
+ * Parse the description of the glyphs
+ */
+
+static int
+handle_glyphs(
+       int len,
+       char *str
+)
+{
+       static int inbmap=0;
+       static char *bmap;
+       static int xsz, ysz, xoff, yoff;
+       static int curln;
+       int i, c;
+       char *p, *plim, *psz;
+
+       if(!LENCMP(str, "ENDFONT")) {
+               if(curgl < nglyphs) {
+                       fprintf(stderr, "**** unexpected end of font file after %d glyphs\n", curgl);
+                       exit(1);
+               } else
+                       return 1;
+       }
+       if(curgl >= nglyphs) {
+               fprintf(stderr, "**** file contains more glyphs than advertised (%d)\n", nglyphs);
+               exit(1);
+       }
+       if(!LENCMP(str, "STARTCHAR")) {
+               /* sizeof will count \0 instead of ' ' */
+               for(i=sizeof("STARTCHAR"); str[i] == ' '; i++) 
+                       {}
+
+               glyphs[curgl].name = strdup(str + i);
+               if(glyphs[curgl].name == 0) {
+                       fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+                       exit(255);
+               }
+       } else if(!LENCMP(str, "ENCODING")) {
+               if(sscanf(str, "ENCODING %d", &fontenc[curgl])!=1) {
+                       fprintf(stderr,"**** weird ENCODING statement at line %d\n", lineno);
+                       exit(1);
+               }
+               if(fontenc[curgl] == -1)  /* compatibility format */
+                       sscanf(str, "ENCODING -1 %d", &fontenc[curgl]);
+               if(fontenc[curgl] > maxenc)
+                       maxenc = fontenc[curgl];
+       } else if(!LENCMP(str, "DWIDTH")) {
+               if(sscanf(str, "DWIDTH %d %d", &xsz, &ysz)!=2) {
+                       fprintf(stderr,"**** weird DWIDTH statement at line %d\n", lineno);
+                       exit(1);
+               }
+               glyphs[curgl].width = xsz*scale;
+       } else if(!LENCMP(str, "BBX")) {
+               if(sscanf(str, "BBX %d %d %d %d", &xsz, &ysz, &xoff, &yoff)!=4) {
+                       fprintf(stderr,"**** weird BBX statement at line %d\n", lineno);
+                       exit(1);
+               }
+               bmap=malloc(xsz*ysz);
+               if(bmap==0) {
+                       fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+                       exit(255);
+               }
+               glyphs[curgl].lsb = -xoff*scale;
+               glyphs[curgl].xMin = -xoff*scale;
+               glyphs[curgl].xMax = (xsz-xoff)*scale;
+               glyphs[curgl].yMin = -yoff*scale;
+               glyphs[curgl].yMax = (ysz-xoff)*scale;
+       } else if(!LENCMP(str, "BITMAP")) {
+               inbmap=1; 
+               curln=ysz-1; /* the lowest line has index 0 */
+       } else if(!LENCMP(str, "ENDCHAR")) {
+               inbmap=0;
+               if(bmap) {
+                       glyphs[curgl].lastentry = 0;
+                       glyphs[curgl].path = 0;
+                       glyphs[curgl].entries = 0;
+                       bmp_outline(&glyphs[curgl], scale, bmap, xsz, ysz, xoff, yoff);
+                       free(bmap);
+                       /* remember in a static table or it will be erased */
+                       glpaths[curgl] = glyphs[curgl].entries;
+                       glyphs[curgl].entries = 0;
+
+                       if(glpaths[curgl])
+                               glyphs[curgl].ttf_pathlen = 1;
+                       else
+                               glyphs[curgl].ttf_pathlen = 0;
+               }
+               curgl++;
+       } else if(inbmap) {
+               if(curln<0) {
+                       fprintf(stderr,"**** bitmap is longer than %d lines at line %d\n", ysz, lineno);
+                       exit(1);
+               }
+
+               i=0;
+               p=&bmap[curln*xsz]; psz=p+xsz;
+               while(i<len) {
+                       c=str[i++];
+                       if(!isxdigit(c)) {
+                               fprintf(stderr,"**** non-hex digit in bitmap at line %d\n", lineno);
+                               exit(1);
+                       }
+                       if(c<='9')
+                               c-='0';
+                       else 
+                               c= tolower(c)-'a'+10;
+
+                       for(plim=p+4; p<psz && p<plim; c<<=1) 
+                               *p++ = (( c & 0x08 )!=0);
+               }
+               if(p<psz) {
+                       fprintf(stderr,"**** bitmap line is too short at line %d\n", lineno);
+                       exit(1);
+               }
+               curln--;
+       }
+       return 0;
+}
+
+/*
+ * Read all the possible information about the glyphs
+ */
+
+static void
+readglyphs(
+       GLYPH *glyph_list
+)
+{
+       int i;
+       GLYPH *g;
+
+       if(got_glyphs)
+               return;
+
+       /* pass them to handle_glyphs() through statics */
+       glyphs = glyph_list;
+       curgl = 2; /* skip the empty glyph and .notdef */
+
+       /* initialize the empty glyph and .notdef */
+
+       for(i=0; i<2; i++) {
+               g = &glyphs[i];
+               g->lsb = 0;
+               g->width = fmet.bbox[2];
+               g->xMin = 0;
+               g->yMin = 0;
+       }
+       g = &glyphs[0];
+       g->name = ".notdef";
+       g->xMax = fmet.bbox[2]*4/5;
+       g->yMax = fmet.bbox[3]*4/5;
+       g->entries = g->path = g->lastentry = 0;
+       /* make it look as a black square */
+       fg_rmoveto(g, 0.0, 0.0);
+       fg_rlineto(g, 0.0, (double)g->yMax);
+       fg_rlineto(g, (double)g->xMax, (double)g->yMax);
+       fg_rlineto(g, (double)g->xMax, 0.0);
+       fg_rlineto(g, 0.0, 0.0);
+       g_closepath(g);
+       glpaths[0] = g->entries;
+       g->entries = 0;
+       g->ttf_pathlen = 4;
+
+       g = &glyphs[1];
+       g->name = ".null";
+       g->xMax = g->yMax = 0;
+       g->ttf_pathlen = 0;
+
+       if(readfile(bdf_file, handle_glyphs) < 0) {
+               fprintf(stderr, "**** file does not contain the ENDFONT line\n");
+               exit(1);
+       }
+       got_glyphs = 1;
+}
+
+/*
+ * Open font and prepare to return information to the main driver.
+ * May print error and warning messages.
+ * Exit on error.
+ */
+
+static void
+openfont(
+       char *fname,
+       char *arg /* unused now */
+)
+{
+       struct line *cl;
+       int i, l;
+
+       if ((bdf_file = fopen(fname, "r")) == NULL) {
+               fprintf(stderr, "**** Cannot open file '%s'\n", fname);
+               exit(1);
+       } else {
+               WARNING_2 fprintf(stderr, "Processing file %s\n", fname);
+       }
+
+       lineno = 1;
+
+       for(cl = header; cl->name != 0; cl++)
+               cl->flags &= ~IS_SEEN;
+       if(readfile(bdf_file, handle_header) < 0) {
+               fprintf(stderr, "**** file does not contain the CHARS definition\n");
+               exit(1);
+       }
+       for(cl = header; cl->name != 0; cl++) {
+               if( (cl->flags & MUST_SEE) && !(cl->flags & IS_SEEN) ) {
+                       fprintf(stderr, "**** mandatory property %sis not found in the input line\n", 
+                               cl->name); /* cl->name has a space at the end */
+                       exit(1);
+               }
+
+               /* set a few defaults */
+               if( !(cl->flags & IS_SEEN) ) {
+                       if(cl->vp[0] == &fmet.underline_thickness) {
+                               fmet.underline_thickness = 1;
+                       } else if(cl->vp[0] == &fmet.underline_position) {
+                               fmet.underline_position = fmet.bbox[1] + fmet.underline_thickness
+                                       - (pixel_size - fmet.bbox[3]);
+                       } else if(cl->vp[0] == &fmet.ascender) {
+                               fmet.ascender = fmet.bbox[2] + fmet.bbox[0];
+                       } else if(cl->vp[0] == &fmet.descender) {
+                               fmet.descender = fmet.bbox[0];
+                       }
+               }
+       }
+
+       nglyphs += 2; /* add empty glyph and .notdef */
+
+       /* postprocessing to compensate for the differences in the metric formats */
+       fmet.bbox[2] += fmet.bbox[0];
+       fmet.bbox[3] += fmet.bbox[1];
+
+       scale = 1000/pixel_size; /* XXX ? */
+       if(scale*pixel_size < 950) {
+               scale = 1;
+               scale_external = 1;
+               fmet.units_per_em = pixel_size;
+       } else {
+               scale_external = 0;
+               fmet.units_per_em = scale*pixel_size;
+
+               fmet.underline_position *= scale;
+               fmet.underline_thickness *= scale;
+               fmet.ascender *= scale;
+               fmet.descender *= scale;
+               for(i=0; i<4; i++)
+                       fmet.bbox[i] *= scale;
+       }
+
+       fmet.italic_angle = 0.0;
+       if(spacing == 0 /* possibly an old font */ 
+       || toupper(spacing[0]) != 'P') /* or anything non-proportional */
+               fmet.is_fixed_pitch = 1;
+       else
+               fmet.is_fixed_pitch = 0;
+
+       if(fmet.name_copyright==NULL)
+               fmet.name_copyright = "";
+       
+       /* create the full name */
+       l = strlen(fmet.name_family) 
+               + (fmet.name_style? strlen(fmet.name_style) : 0)
+               + (fnwidth? strlen(fnwidth) : 0)
+               + strlen("Oblique") + 1;
+
+       if(( fmet.name_full = malloc(l) )==NULL) {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+       strcpy(fmet.name_full, fmet.name_family);
+       if(fnwidth && strcmp(fnwidth, "Normal")) {
+               strcat(fmet.name_full, fnwidth);
+       }
+       if(fmet.name_style && strcmp(fmet.name_style, "Medium")) {
+               strcat(fmet.name_full, fmet.name_style);
+       }
+       switch(toupper(slant[0])) {
+       case 'O':
+               strcat(fmet.name_full, "Oblique");
+               break;
+       case 'I':
+               strcat(fmet.name_full, "Italic");
+               break;
+       }
+
+       fmet.name_ps = fmet.name_full;
+       fmet.name_version = "1.0";
+
+       if(charset_reg && charset_enc
+       && !strcmp(charset_reg, "iso10646") && !strcmp(charset_enc, "1"))
+               is_unicode = 1;
+
+       if(( fontenc = calloc(nglyphs, sizeof *fontenc) )==NULL) {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+       for(i=0; i<nglyphs; i++)
+               fontenc[i] = -1;
+       if(( glpaths = calloc(nglyphs, sizeof *glpaths) )==NULL) {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+}
+
+/*
+ * Close font.
+ * Exit on error.
+ */
+
+static void
+closefont(
+       void
+)
+{
+       if(fclose(bdf_file) < 0) {
+               WARNING_1 fprintf(stderr, "Errors when closing the font file, ignored\n");
+       }
+}
+
+/*
+ * Get the number of glyphs in font.
+ */
+
+static int
+getnglyphs (
+       void
+)
+{
+       return nglyphs;
+}
+
+/*
+ * Get the names of the glyphs.
+ * Returns 0 if the names were assigned, non-zero if the font
+ * provides no glyph names.
+ */
+
+static int
+glnames(
+       GLYPH *glyph_list
+)
+{
+       readglyphs(glyph_list);
+       return 0;
+}
+
+/*
+ * Get the original encoding of the font. 
+ * Returns 1 for if the original encoding is Unicode, 2 if the
+ * original encoding is other 16-bit, 0 if 8-bit.
+ */
+
+static int
+glenc(
+       GLYPH *glyph_list,
+       int *encoding,
+       int *unimap
+)
+{
+       int i, douni, e;
+
+       if(is_unicode || forcemap)
+               douni = 1;
+       else
+               douni = 0;
+
+       for(i=0; i<nglyphs; i++) {
+               e = fontenc[i];
+               if(douni)
+                       e = unicode_rev_lookup(e);
+               if(e>=0 && e<ENCTABSZ && encoding[e] == -1)
+                       encoding[e] = i;
+       }
+
+       if(is_unicode)
+               return 1;
+       else if(maxenc > 255)
+               return 2;
+       else
+               return 0;
+}
+       
+/*
+ * Get the font metrics
+ */
+static void 
+fnmetrics(
+       struct font_metrics *fm
+)
+{
+       *fm = fmet;
+}
+
+/*
+ * Get the path of contrours for a glyph.
+ */
+
+static void
+glpath(
+       int glyphno,
+       GLYPH *glyf_list
+)
+{
+       readglyphs(glyf_list);
+       glyf_list[glyphno].entries = glpaths[glyphno];
+       glpaths[glyphno] = 0;
+}
+
+/*
+ * Get the kerning data.
+ */
+
+static void
+kerning(
+       GLYPH *glyph_list
+)
+{
+       return; /* no kerning in BDF */
+}
diff --git a/pdf2swf/ttf2pt1/bitmap.c b/pdf2swf/ttf2pt1/bitmap.c
new file mode 100644 (file)
index 0000000..eb5c409
--- /dev/null
@@ -0,0 +1,2458 @@
+/*
+ * Handling of the bitmapped glyphs
+ *
+ * Copyright (c) 2001 by the TTF2PT1 project
+ * Copyright (c) 2001 by Sergey Babkin
+ *
+ * see COPYRIGHT for the full copyright notice
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include "pt1.h"
+#include "global.h"
+
+/* possible values of limits */
+#define L_NONE 0 /* nothing here */
+#define L_ON   1 /* black is on up/right */
+#define L_OFF  2 /* black is on down/left */
+
+static int warnedhints = 0;
+
+
+#ifdef USE_AUTOTRACE
+#include <autotrace/autotrace.h>
+
+/*
+ * Produce an autotraced outline from a bitmap.
+ * scale - factor to scale the sizes
+ * bmap - array of dots by lines, xsz * ysz
+ * xoff, yoff - offset of the bitmap's lower left corner
+ *              from the logical position (0,0)
+ */
+
+static void
+autotraced_bmp_outline(
+       GLYPH *g,
+       int scale,
+       char *bmap,
+       int xsz,
+       int ysz,
+       int xoff,
+       int yoff
+)
+{
+       at_bitmap_type atb;
+       at_splines_type *atsp;
+       at_fitting_opts_type *atoptsp;
+       at_spline_list_type *slp;
+       at_spline_type *sp;
+       int i, j, k;
+       double lastx, lasty;
+       double fscale;
+       char *xbmap;
+
+       fscale = (double)scale;
+
+       /* provide a white margin around the bitmap */
+       xbmap = malloc((ysz+2)*(xsz+2));
+       if(xbmap == 0)  {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+       memset(xbmap, 0, xsz+2);  /* top margin */
+       for(i=0, j=xsz+2; i<ysz; i++, j+=xsz+2) {
+               xbmap[j] = 0; /* left margin */
+               memcpy(&xbmap[j+1], &bmap[xsz*(ysz-1-i)], xsz); /* a line of bitmap */
+               xbmap[j+xsz+1] = 0; /* right margin */
+       }
+       memset(xbmap+j, 0, xsz+2);  /* bottom margin */
+       xoff--; yoff-=2; /* compensate for the margins */
+
+       atoptsp = at_fitting_opts_new();
+
+       atb.width = xsz+2;
+       atb.height = ysz+2;
+       atb.np = 1;
+       atb.bitmap = xbmap;
+
+       atsp = at_splines_new(&atb, atoptsp);
+
+       lastx = lasty = -1.;
+       for(i=0; i<atsp->length; i++) {
+               slp = &atsp->data[i];
+#if 0
+               fprintf(stderr, "%s: contour %d: %d entries clockwise=%d color=%02X%02X%02X\n",
+                       g->name, i, slp->length, slp->clockwise, slp->color.r, slp->color.g, slp->color.b);
+#endif
+               if(slp->length == 0)
+                       continue;
+#if 0
+               if(slp->color.r + slp->color.g + slp->color.b == 0)
+                       continue;
+#endif
+               fg_rmoveto(g, fscale*(slp->data[0].v[0].x+xoff), fscale*(slp->data[0].v[0].y+yoff));
+               for(j=0; j<slp->length; j++) {
+#if 0
+                       fprintf(stderr, "  ");
+                       for(k=0; k<4; k++)
+                               fprintf(stderr, "(%g %g) ", 
+                                       fscale*(slp->data[j].v[k].x+xoff), 
+                                       fscale*(ysz-slp->data[j].v[k].y+yoff)
+                                       );
+                       fprintf(stderr, "\n");
+#endif
+                       fg_rrcurveto(g,
+                               fscale*(slp->data[j].v[1].x+xoff), fscale*(slp->data[j].v[1].y+yoff),
+                               fscale*(slp->data[j].v[2].x+xoff), fscale*(slp->data[j].v[2].y+yoff),
+                               fscale*(slp->data[j].v[3].x+xoff), fscale*(slp->data[j].v[3].y+yoff) );
+               }
+               g_closepath(g);
+       }
+
+       at_splines_free(atsp);
+       at_fitting_opts_free(atoptsp);
+       free(xbmap);
+}
+
+#endif /*USE_AUTOTRACE*/
+
+/* an extension of gentry for description of the fragments */
+typedef struct gex_frag GEX_FRAG;
+struct gex_frag {
+       /* indexes to len, the exact values and order are important */
+#define GEXFI_NONE     -1
+#define GEXFI_CONVEX   0
+#define GEXFI_CONCAVE  1
+#define GEXFI_LINE     2 /* a line with steps varying by +-1 pixel */
+#define GEXFI_EXACTLINE        3 /* a line with exactly the same steps */
+#define GEXFI_COUNT    4 /* maximal index + 1 */
+       unsigned short len[GEXFI_COUNT]; /* length of various fragment types starting here */
+       unsigned short lenback[GEXFI_COUNT]; /* length back to the start of curve */
+
+       signed char ixstart; /* index of the frag type that starts here */
+       signed char ixcont; /* index of the frag type that continues here */
+
+       short flags;
+#define GEXFF_HLINE    0x0001 /* the exact line is longer in "horizontal" dimension */
+#define GEXFF_EXTR     0x0002 /* this gentry is an extremum in some direction */
+#define GEXFF_CIRC     0x0004 /* the joint at this gentry is for a circular curve */
+#define GEXFF_DRAWCURVE        0x0008 /* vect[] describes a curve to draw */
+#define GEXFF_DRAWLINE 0x0010 /* vect[] describes a line to draw */
+#define GEXFF_SPLIT    0x0020 /* is a result of splitting a line */
+#define GEXFF_SYMNEXT  0x0040 /* this subfrag is symmetric with next one */
+#define GEXFF_DONE     0x0080 /* this subfrag has been vectorized */
+#define GEXFF_LONG     0x0100 /* this gentry is longer than 1 pixel */
+
+       unsigned short aidx; /* index of gentry in the array representing the contour */
+       
+       unsigned short vectlen; /* number of gentries represented by vect[] */
+
+       /* coordinates for vectored replacement of this fragment */
+       /* (already scaled because it's needed for curve approximation) */
+       double vect[4 /*ref.points*/][2 /*X,Y*/];
+
+       double bbox[2 /*X,Y*/]; /* absolute sizes of bounding box of a subfragment */
+
+       /* used when splitting the curved frags into subfrags */
+       GENTRY *prevsub;  /* to gentries describing neighboring subfrags */
+       GENTRY *nextsub;
+       GENTRY *ordersub; /* single-linked list describing the order of calculation */
+
+       int sublen; /* length of this subfrag */
+       /* the symmetry across the subfrags */
+       int symaxis; /* the symmetry axis, with next subfrag */
+       int symxlen; /* min length of adjacent symmetric frags */
+       /* the symmetry within this subfrag (the axis is always diagonal) */
+       GENTRY *symge; /* symge->i{x,y}3 is the symmetry point of symge==0 if none */
+
+};
+#define        X_FRAG(ge)      ((GEX_FRAG *)((ge)->ext))
+
+/* various interesting tables related to GEX_FRAG */
+static char *gxf_name[GEXFI_COUNT] = {"Convex", "Concave", "Line", "ExLine"};
+static int gxf_cvk[2] = {-1, 1}; /* coefficients of concaveness */
+
+/*
+ * Dump the contents of X_EXT()->len and ->lenback for a contour
+ */
+static void
+gex_dump_contour(
+       GENTRY *ge,
+       int clen
+)
+{
+       int i, j;
+
+       for(j = 0; j < GEXFI_COUNT; j++) {
+               fprintf(stderr, "%-8s", gxf_name[j]);
+               for(i = 0; i < clen; i++, ge = ge->frwd)
+                       fprintf(stderr, " %2d", X_FRAG(ge)->len[j]);
+               fprintf(stderr, " %p\n (back) ", ge);
+               for(i = 0; i < clen; i++, ge = ge->frwd)
+                       fprintf(stderr, " %2d", X_FRAG(ge)->lenback[j]);
+               fprintf(stderr, "\n");
+       }
+}
+
+/*
+ * Calculate values of X_EXT()->lenback[] for all entries in
+ * a contour. The contour is identified by:
+ *  ge - any gentry of the contour
+ *  clen - contour length
+ */
+
+static void
+gex_calc_lenback(
+       GENTRY *ge,
+       int clen
+)
+{
+       int i, j;
+       int end;
+       GEX_FRAG *f;
+       int len[GEXFI_COUNT]; /* length of the most recent fragment */
+       int count[GEXFI_COUNT]; /* steps since beginning of the fragment */
+
+       for(j = 0; j < GEXFI_COUNT; j++)
+               len[j] = count[j] = 0;
+
+       end = clen;
+       for(i = 0; i < end; i++, ge = ge->frwd) {
+               f = X_FRAG(ge);
+               for(j = 0; j < GEXFI_COUNT; j++) {
+                       if(len[j] != count[j]) {
+                               f->lenback[j] = count[j]++;
+                       } else
+                               f->lenback[j] = 0;
+                       if(f->len[j] != 0) {
+                               len[j] = f->len[j];
+                               count[j] = 1; /* start with the next gentry */
+                               /* if the fragment will wrap over the start, process to its end */
+                               if(i < clen && i + len[j] > end) 
+                                       end = i + len[j];
+                       }
+               }
+       }
+       gex_dump_contour(ge, clen);
+}
+
+/* Limit a curve to not exceed the given coordinates
+ * at its given side
+ */
+
+static void
+limcurve(
+       double curve[4][2 /*X,Y*/],
+       double lim[2 /*X,Y*/],
+       int where /* 0 - start, 3 - end */
+)
+{
+       int other = 3-where; /* the other end */
+       int sgn[2 /*X,Y*/]; /* sign for comparison */
+       double t, from, to, nt, t2, nt2, tt[4];
+       double val[2 /*X,Y*/];
+       int i;
+
+       for(i=0; i<2; i++)
+               sgn[i] = fsign(curve[other][i] - curve[where][i]);
+
+#if 0
+       fprintf(stderr, "     limit (%g,%g)-(%g,%g) at %d by (%g,%g), sgn(%d,%d)\n",
+               curve[0][0], curve[0][1], curve[3][0], curve[3][1],
+               where, lim[0], lim[1], sgn[0], sgn[1]);
+#endif
+       /* a common special case */
+       if( sgn[0]*(curve[where][0] - lim[0]) >= 0.
+       && sgn[1]*(curve[where][1] - lim[1]) >= 0. )
+               return; /* nothing to do */
+
+       if(other==0) {
+               from = 0.;
+               to = 1.;
+       } else {
+               from = 1.;
+               to = 0.;
+       }
+#if 0
+       fprintf(stderr, "t=");
+#endif
+       while( fabs(from-to) > 0.00001 ) {
+               t = 0.5 * (from+to);
+               t2 = t*t;
+               nt = 1.-t;
+               nt2 = nt*nt;
+               tt[0] = nt2*nt;
+               tt[1] = 3*nt2*t;
+               tt[2] = 3*nt*t2;
+               tt[3] = t*t2;
+               for(i=0; i<2; i++)
+                       val[i] = curve[0][i]*tt[0] + curve[1][i]*tt[1]
+                               + curve[2][i]*tt[2] + curve[3][i]*tt[3];
+#if 0
+               fprintf(stderr, "%g(%g,%g) ", t, val[0], val[1]);
+#endif
+               if(fabs(val[0] - lim[0]) < 0.1
+               || fabs(val[1] - lim[1]) < 0.1)
+                       break;
+
+               if(sgn[0] * (val[0] - lim[0]) < 0.
+               || sgn[1] * (val[1] - lim[1]) < 0.)
+                       to = t;
+               else
+                       from = t;
+       }
+       /* now t is the point of splitting */
+#define SPLIT(pt1, pt2)        ( (pt1) + t*((pt2)-(pt1)) ) /* order is important! */
+       for(i=0; i<2; i++) {
+               double v11, v12, v13, v21, v22, v31; /* intermediate points */
+
+               v11 = SPLIT(curve[0][i], curve[1][i]);
+               v12 = SPLIT(curve[1][i], curve[2][i]);
+               v13 = SPLIT(curve[2][i], curve[3][i]);
+               v21 = SPLIT(v11, v12);
+               v22 = SPLIT(v12, v13);
+               v31 = SPLIT(v21, v22);
+               if(other==0) {
+                       curve[1][i] = v11;
+                       curve[2][i] = v21;
+                       curve[3][i] = fabs(v31 - lim[i]) < 0.1 ? lim[i] : v31;
+               } else {
+                       curve[0][i] = fabs(v31 - lim[i]) < 0.1 ? lim[i] : v31;
+                       curve[1][i] = v22;
+                       curve[2][i] = v13;
+               }
+       }
+#undef SPLIT
+#if 0
+       fprintf(stderr, "\n");
+#endif
+}
+
+/*
+ * Vectorize a subfragment of a curve fragment. All the data has been already
+ * collected by this time
+ */
+
+static void
+dosubfrag(
+       GLYPH *g,
+       int fti, /* fragment type index */
+       GENTRY *firstge, /* first gentry of fragment */
+       GENTRY *ge, /* first gentry of subfragment */
+       double fscale
+) 
+{
+       GENTRY *gel, *gei; /* last gentry of this subfrag */
+       GEX_FRAG *f, *ff, *lf, *pf, *xf;
+       /* maximal amount of space that can be used at the beginning and the end */
+       double fixfront[2], fixend[2]; /* fixed points - used to show direction */
+       double mvfront[2], mvend[2]; /* movable points */
+       double limfront[2], limend[2]; /* limit of movement for movabel points */
+       double sympt;
+       int outfront, outend; /* the beginning/end is going outwards */
+       int symfront, symend; /* a ready symmetric fragment is present at front/end */
+       int drnd[2 /*X,Y*/]; /* size of the round part */
+       int i, j, a1, a2, ndots;
+       double avg2, max2; /* squared distances */
+       struct dot_dist *dots, *usedots;
+
+       ff = X_FRAG(firstge);
+       f = X_FRAG(ge);
+       gel = f->nextsub;
+       lf = X_FRAG(gel);
+       if(f->prevsub != 0)
+               pf = X_FRAG(f->prevsub);
+       else
+               pf = 0;
+
+       for(i=0; i<2; i++)
+               drnd[i] = gel->bkwd->ipoints[i][2] - ge->ipoints[i][2];
+
+       if(f->prevsub==0 && f->ixcont == GEXFI_NONE) {
+               /* nothing to join with : may use the whole length */
+               for(i = 0; i < 2; i++)
+                       limfront[i] = ge->bkwd->ipoints[i][2];
+       } else {
+               /* limit to a half */
+               for(i = 0; i < 2; i++)
+                       limfront[i] = 0.5 * (ge->ipoints[i][2] + ge->bkwd->ipoints[i][2]);
+       }
+       if( (ge->ix3 == ge->bkwd->ix3) /* vert */
+       ^ (isign(ge->bkwd->ix3 - ge->frwd->ix3)==isign(ge->bkwd->iy3 - ge->frwd->iy3))
+       ^ (fti == GEXFI_CONCAVE) /* counter-clockwise */ ) {
+               /* the beginning is not a flat 90-degree end */
+               outfront = 1;
+               for(i = 0; i < 2; i++)
+                       fixfront[i] = ge->frwd->ipoints[i][2];
+       } else {
+               outfront = 0;
+               for(i = 0; i < 2; i++)
+                       fixfront[i] = ge->ipoints[i][2];
+       }
+
+       if(lf->nextsub==0 && lf->ixstart == GEXFI_NONE) {
+               /* nothing to join with : may use the whole length */
+               for(i = 0; i < 2; i++)
+                       limend[i] = gel->ipoints[i][2];
+       } else {
+               /* limit to a half */
+               for(i = 0; i < 2; i++)
+                       limend[i] = 0.5 * (gel->ipoints[i][2] + gel->bkwd->ipoints[i][2]);
+       }
+       gei = gel->bkwd->bkwd;
+       if( (gel->ix3 == gel->bkwd->ix3) /* vert */
+       ^ (isign(gel->ix3 - gei->ix3)==isign(gel->iy3 - gei->iy3))
+       ^ (fti == GEXFI_CONVEX) /* clockwise */ ) {
+               /* the end is not a flat 90-degree end */
+               outend = 1;
+               for(i = 0; i < 2; i++)
+                       fixend[i] = gel->bkwd->bkwd->ipoints[i][2];
+       } else {
+               outend = 0;
+               for(i = 0; i < 2; i++)
+                       fixend[i] = gel->bkwd->ipoints[i][2];
+       }
+
+       for(i = 0; i < 2; i++) {
+               fixfront[i] *= fscale;
+               limfront[i] *= fscale;
+               fixend[i] *= fscale;
+               limend[i] *= fscale;
+       }
+
+       fprintf(stderr, "    %d out(%d[%d %d %d],%d[%d %d %d]) drnd(%d, %d)\n", 
+               fti,
+               outfront, 
+                       (ge->ix3 == ge->bkwd->ix3),
+                       (isign(ge->bkwd->ix3 - ge->frwd->ix3)==isign(ge->bkwd->iy3 - ge->frwd->iy3)),
+                       (fti == GEXFI_CONCAVE),
+               outend,
+                       (gel->ix3 == gel->bkwd->ix3),
+                       (isign(gel->ix3 - gei->ix3)==isign(gel->iy3 - gei->iy3)),
+                       (fti == GEXFI_CONVEX),
+               drnd[0], drnd[1]);
+
+       /* prepare to calculate the distances */
+       ndots = f->sublen - 1;
+       dots = malloc(sizeof(*dots) * ndots);
+       if(dots == 0) {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+       for(i = 0, gei = ge; i < ndots; i++, gei = gei->frwd) {
+               for(a1 = 0; a1 < 2; a1++)
+                       dots[i].p[a1] = fscale * gei->ipoints[a1][2];
+       }
+
+       /* see if we can mirror a ready symmetric curve */
+
+       /* check symmetry with the fragment before this */
+       symfront = (pf != 0 && (pf->flags & GEXFF_SYMNEXT) && (pf->flags & GEXFF_DONE)
+               && ( outend && f->sublen <= pf->sublen
+                       || ( pf->sublen == f->sublen 
+                               && (lf->sublen == 0
+                                       || ( abs(limfront[0]-limend[0]) >= abs(pf->vect[0][0]-pf->vect[3][0])
+                                               && abs(limfront[1]-limend[1]) >= abs(pf->vect[0][1]-pf->vect[3][1]) ))
+                       )
+               )
+       );
+       /* check symmetry with the fragment after this */
+       symend = ( (f->flags & GEXFF_SYMNEXT) && (lf->flags & GEXFF_DONE)
+               && ( outfront && f->sublen <= lf->sublen
+                       || ( lf->sublen == f->sublen 
+                               && (pf == 0 
+                                       || ( abs(limfront[0]-limend[0]) >= abs(lf->vect[0][0]-lf->vect[3][0])
+                                               && abs(limfront[1]-limend[1]) >= abs(lf->vect[0][1]-lf->vect[3][1]) )) 
+                       )
+               )
+       );
+       if(symfront || symend) {
+               /* mirror the symmetric neighbour subfrag */
+               if(symfront) {
+                       a1 = (ge->ix3 != ge->bkwd->ix3); /* the symmetry axis */
+                       a2 = !a1; /* the other axis (goes along the extremum gentry) */
+
+                       /* the symmetry point on a2 */
+                       sympt = fscale * 0.5 * (ge->ipoints[a2][2] + ge->bkwd->ipoints[a2][2]);
+                       xf = pf; /* the symmetric fragment */
+               } else {
+                       a1 = (gel->ix3 != gel->bkwd->ix3); /* the symmetry axis */
+                       a2 = !a1; /* the other axis (goes along the extremum gentry) */
+
+                       /* the symmetry point on a2 */
+                       sympt = fscale * 0.5 * (gel->ipoints[a2][2] + gel->bkwd->ipoints[a2][2]);
+                       xf = lf; /* the symmetric fragment */
+               }
+               fprintf(stderr, "     sym with %p f=%d(%p) e=%d(%p) a1=%c a2=%c sympt=%g\n",
+                       xf, symfront, pf, symend, lf,
+                       a1 ? 'Y': 'X', a2 ? 'Y': 'X', sympt
+               );
+               for(i=0; i<4; i++) {
+                       f->vect[3-i][a1] = xf->vect[i][a1];
+                       f->vect[3-i][a2] = sympt - (xf->vect[i][a2]-sympt);
+               }
+               if(symfront) {
+                       if(outend || lf->sublen==0)
+                               limcurve(f->vect, limend, 3);
+               } else {
+                       if(outfront || pf == 0)
+                               limcurve(f->vect, limfront, 0);
+               }
+               avg2 = fdotcurvdist2(f->vect, dots, ndots, &max2);
+               fprintf(stderr, "     avg=%g max=%g fscale=%g\n", sqrt(avg2), sqrt(max2), fscale);
+               if(max2 <= fscale*fscale) {
+                       f->flags |= (GEXFF_DONE | GEXFF_DRAWCURVE);
+                       f->vectlen = f->sublen;
+                       free(dots);
+                       return;
+               }
+       }
+
+       if( !outfront && !outend && f->symge != 0) {
+               /* a special case: try a circle segment as an approximation */
+               double lenfront, lenend, len, maxlen;
+
+               /* coefficient for a Bezier approximation of a circle */
+#define CIRCLE_FRAC    0.55
+
+               a1 = (ge->ix3 == ge->bkwd->ix3); /* get the axis along the front */
+               a2 = !a1; /* axis along the end */
+
+               lenfront = fixfront[a1] - limfront[a1];
+               lenend = fixend[a2] - limend[a2];
+               if(fabs(lenfront) < fabs(lenend))
+                       len = fabs(lenfront);
+               else
+                       len = fabs(lenend);
+
+               /* make it go close to the round shape */
+               switch(f->sublen) {
+               case 2:
+                       maxlen = fscale;
+                       break;
+               case 4:
+               case 6:
+                       maxlen = fscale * 2.;
+                       break;
+               default:
+                       maxlen = fscale * abs(ge->frwd->frwd->ipoints[a1][2] 
+                               - ge->ipoints[a1][2]);
+                       break;
+               }
+               if(len > maxlen)
+                       len = maxlen;
+
+               mvfront[a1] = fixfront[a1] - fsign(lenfront) * len;
+               mvfront[a2] = limfront[a2];
+               mvend[a2] = fixend[a2] - fsign(lenend) * len;
+               mvend[a1] = limend[a1];
+
+               for(i=0; i<2; i++) {
+                       f->vect[0][i] = mvfront[i];
+                       f->vect[3][i] = mvend[i];
+               }
+               f->vect[1][a1] = mvfront[a1] + CIRCLE_FRAC*(mvend[a1]-mvfront[a1]);
+               f->vect[1][a2] = mvfront[a2];
+               f->vect[2][a1] = mvend[a1];
+               f->vect[2][a2] = mvend[a2] + CIRCLE_FRAC*(mvfront[a2]-mvend[a2]);
+
+               avg2 = fdotcurvdist2(f->vect, dots, ndots, &max2);
+               fprintf(stderr, "     avg=%g max=%g fscale=%g\n", sqrt(avg2), sqrt(max2), fscale);
+               if(max2 <= fscale*fscale) {
+                       f->flags |= (GEXFF_DONE | GEXFF_DRAWCURVE);
+                       f->vectlen = f->sublen;
+                       free(dots);
+                       return;
+               }
+#undef CIRCLE_FRAC
+       }
+       for(i=0; i<2; i++) {
+               f->vect[0][i] = limfront[i];
+               f->vect[1][i] = fixfront[i];
+               f->vect[2][i] = fixend[i];
+               f->vect[3][i] = limend[i];
+       }
+       usedots = dots;
+       if(outfront) {
+               usedots++; ndots--;
+       }
+       if(outend)
+               ndots--;
+       if( fcrossrayscv(f->vect, NULL, NULL) == 0) {
+               fprintf(stderr, "**** Internal error: rays must cross but don't at %p-%p\n",
+                       ge, gel);
+               fprintf(stderr, "  (%g, %g) (%g, %g) (%g, %g) (%g, %g)\n", 
+                       limfront[0], limfront[1],
+                       fixfront[0], fixfront[1],
+                       fixend[0], fixend[1],
+                       limend[0], limend[1]
+               );
+               dumppaths(g, NULL, NULL);
+               exit(1);
+       } else {
+               if(ndots != 0)
+                       fapproxcurve(f->vect, usedots, ndots);
+               f->flags |= (GEXFF_DONE | GEXFF_DRAWCURVE);
+               f->vectlen = f->sublen;
+       }
+       free(dots);
+}
+
+/*
+ * Produce an outline from a bitmap.
+ * scale - factor to scale the sizes
+ * bmap - array of dots by lines, xsz * ysz
+ * xoff, yoff - offset of the bitmap's lower left corner
+ *              from the logical position (0,0)
+ */
+
+void
+bmp_outline(
+       GLYPH *g,
+       int scale,
+       char *bmap,
+       int xsz,
+       int ysz,
+       int xoff,
+       int yoff
+)
+{
+       char *hlm, *vlm; /* arrays of the limits of outlines */
+       char *amp; /* map of ambiguous points */
+       int x, y;
+       char *ip, *op;
+       double fscale;
+
+       if(xsz==0 || ysz==0)
+               return;
+
+#ifdef USE_AUTOTRACE
+       if(use_autotrace) {
+               autotraced_bmp_outline(g, scale, bmap, xsz, ysz, xoff, yoff);
+               return;
+       }
+#endif /*USE_AUTOTRACE*/
+
+       fscale = (double)scale;
+       g->flags &= ~GF_FLOAT; /* build it as int first */
+
+       if(!warnedhints) {
+               warnedhints = 1;
+               if(hints && subhints) {
+                       WARNING_2 fprintf(stderr, 
+                               "Use of hint substitution on bitmap fonts is not recommended\n");
+               }
+       }
+
+#if 0
+       printbmap(bmap, xsz, ysz, xoff, yoff);
+#endif
+
+       /* now find the outlines */
+       hlm=calloc( xsz, ysz+1 ); /* horizontal limits */
+       vlm=calloc( xsz+1, ysz ); /* vertical limits */
+       amp=calloc( xsz, ysz ); /* ambiguous points */
+
+       if(hlm==0 || vlm==0 || amp==0)  {
+               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+               exit(255);
+       }
+
+       /*
+        * hlm and vlm represent a grid of horisontal and
+        * vertical lines. Each pixel is surrounded by the grid
+        * from all the sides. The values of [hv]lm mark the
+        * parts of grid where the pixel value switches from white
+        * to black and back.
+        */
+
+       /* find the horizontal limits */
+       ip=bmap; op=hlm;
+       /* 1st row */
+       for(x=0; x<xsz; x++) {
+               if(ip[x])
+                       op[x]=L_ON;
+       }
+       ip+=xsz; op+=xsz;
+       /* internal rows */
+       for(y=1; y<ysz; y++) {
+               for(x=0; x<xsz; x++) {
+                       if(ip[x]) {
+                               if(!ip[x-xsz])
+                                       op[x]=L_ON;
+                       } else {
+                               if(ip[x-xsz])
+                                       op[x]=L_OFF;
+                       }
+               }
+               ip+=xsz; op+=xsz;
+       }
+
+       /* last row */
+       ip-=xsz;
+       for(x=0; x<xsz; x++) {
+               if(ip[x])
+                       op[x]=L_OFF;
+       }
+
+       /* find the vertical limits */
+       ip=bmap; op=vlm;
+       for(y=0; y<ysz; y++) {
+               if(ip[0])
+                       op[0]=L_ON;
+               for(x=1; x<xsz; x++) {
+                       if(ip[x]) {
+                               if(!ip[x-1])
+                                       op[x]=L_ON;
+                       } else {
+                               if(ip[x-1])
+                                       op[x]=L_OFF;
+                       }
+               }
+               if(ip[xsz-1])
+                       op[xsz]=L_OFF;
+               ip+=xsz; op+=xsz+1; 
+       }
+
+       /*
+        * Ambiguous points are the nodes of the grids
+        * that are between two white and two black pixels
+        * located in a checkerboard style. Actually
+        * there are only two patterns that may be
+        * around an ambiguous point:
+        *
+        *    X|.    .|X
+        *    -*-    -*-
+        *    .|X    X|.
+        *
+        * where "|" and "-" represent the grid (respectively members
+        * of vlm and hlm), "*" represents an ambiguous point
+        * and "X" and "." represent black and white pixels.
+        *
+        * If these sample pattern occur in the lower left corner
+        * of the bitmap then this ambiguous point will be
+        * located at amp[1][1] or in other words amp[1*xsz+1].
+        *
+        * These points are named "ambiguous" because it's
+        * not easy to guess what did the font creator mean
+        * at these points. So we are going to treat them 
+        * specially, doing no aggressive smoothing.
+        */
+
+       /* find the ambiguous points */
+       for(y=ysz-1; y>0; y--)
+               for(x=xsz-1; x>0; x--) {
+                       if(bmap[y*xsz+x]) {
+                               if( !bmap[y*xsz+x-1] && !bmap[y*xsz-xsz+x] && bmap[y*xsz-xsz+x-1] )
+                                       amp[y*xsz+x]=1;
+                       } else {
+                               if( bmap[y*xsz+x-1] && bmap[y*xsz-xsz+x] && !bmap[y*xsz-xsz+x-1] )
+                                       amp[y*xsz+x]=1;
+                       }
+               }
+
+#if 0
+       printlimits(hlm, vlm, amp, xsz, ysz);
+#endif
+
+       /* generate the vectored (stepping) outline */
+
+       while(1) {
+               int found = 0;
+               int outer; /* flag: this is an outer contour */
+               int hor, newhor; /* flag: the current contour direction is horizontal */
+               int dir; /* previous direction of the coordinate, 1 - L_ON, 0 - L_OFF */
+               int startx, starty; /* start of a contour */
+               int firstx, firsty; /* start of the current line */
+               int newx, newy; /* new coordinates to try */
+               char *lm, val;
+               int maxx, maxy, xor;
+
+               for(y=ysz; !found &&  y>0; y--) 
+                       for(x=0; x<xsz; x++) 
+                               if(hlm[y*xsz+x] > L_NONE) 
+                                       goto foundcontour;
+               break; /* have no contours left */
+
+       foundcontour:
+               ig_rmoveto(g, x+xoff, y+yoff); /* intermediate as int */
+
+               startx = firstx = x;
+               starty = firsty = y;
+
+               if(hlm[y*xsz+x] == L_OFF) {
+                       outer = 1; dir = 0;
+                       hlm[y*xsz+x] = -hlm[y*xsz+x]; /* mark as seen */
+                       hor = 1; x++;
+               } else {
+                       outer = 0; dir = 0;
+                       hor = 0; y--;
+                       vlm[y*(xsz+1)+x] = -vlm[y*(xsz+1)+x]; /* mark as seen */
+               }
+
+               while(x!=startx || y!=starty) {
+#if 0
+                       printf("trace (%d, %d) outer=%d hor=%d dir=%d\n", x, y, outer, hor, dir);
+#endif
+
+                       /* initialization common for try1 and try2 */
+                       if(hor) {
+                               lm = vlm; maxx = xsz+1; maxy = ysz; newhor = 0;
+                       } else {
+                               lm = hlm; maxx = xsz; maxy = ysz+1; newhor = 1;
+                       }
+                       xor = (outer ^ hor ^ dir);
+
+               try1:
+                       /* first we try to change axis, to keep the
+                        * contour as long as possible
+                        */
+
+                       newx = x; newy = y;
+                       if(!hor && (!outer ^ dir))
+                               newx--;
+                       if(hor && (!outer ^ dir))
+                               newy--;
+
+                       if(newx < 0 || newx >= maxx || newy < 0 || newy >= maxy)
+                               goto try2;
+
+                       if(!xor)
+                               val = L_ON;
+                       else
+                               val = L_OFF;
+#if 0
+                       printf("try 1, want %d have %d at %c(%d, %d)\n", val, lm[newy*maxx + newx],
+                               (newhor ? 'h':'v'), newx, newy);
+#endif
+                       if( lm[newy*maxx + newx] == val )
+                               goto gotit;
+
+               try2:
+                       /* try to change the axis anyway */
+
+                       newx = x; newy = y;
+                       if(!hor && (outer ^ dir))
+                               newx--;
+                       if(hor && (outer ^ dir))
+                               newy--;
+
+                       if(newx < 0 || newx >= maxx || newy < 0 || newy >= maxy)
+                               goto try3;
+
+                       if(xor)
+                               val = L_ON;
+                       else
+                               val = L_OFF;
+#if 0
+                       printf("try 2, want %d have %d at %c(%d, %d)\n", val, lm[newy*maxx + newx],
+                               (newhor ? 'h':'v'), newx, newy);
+#endif
+                       if( lm[newy*maxx + newx] == val )
+                               goto gotit;
+
+               try3:
+                       /* try to continue in the old direction */
+
+                       if(hor) {
+                               lm = hlm; maxx = xsz; maxy = ysz+1;
+                       } else {
+                               lm = vlm; maxx = xsz+1; maxy = ysz;
+                       }
+                       newhor = hor;
+                       newx = x; newy = y;
+                       if(hor && dir)
+                               newx--;
+                       if(!hor && !dir)
+                               newy--;
+
+                       if(newx < 0 || newx >= maxx || newy < 0 || newy >= maxy)
+                               goto badtry;
+
+                       if(dir)
+                               val = L_ON;
+                       else
+                               val = L_OFF;
+#if 0
+                       printf("try 3, want %d have %d at %c(%d, %d)\n", val, lm[newy*maxx + newx],
+                               (newhor ? 'h':'v'), newx, newy);
+#endif
+                       if( lm[newy*maxx + newx] == val )
+                               goto gotit;
+
+               badtry:
+                       fprintf(stderr, "**** Internal error in the contour detection code at (%d, %d)\n", x, y);
+                       fprintf(stderr, "glyph='%s' outer=%d hor=%d dir=%d\n", g->name, outer, hor, dir);
+                       fflush(stdout);
+                       exit(1);
+
+               gotit:
+                       if(hor != newhor) { /* changed direction, end the previous line */
+                               ig_rlineto(g, x+xoff, y+yoff); /* intermediate as int */
+                               firstx = x; firsty = y;
+                       }
+                       lm[newy*maxx + newx] = -lm[newy*maxx + newx];
+                       hor = newhor;
+                       dir = (val == L_ON);
+                       if(newhor)
+                               x -= (dir<<1)-1;
+                       else
+                               y += (dir<<1)-1;
+               }
+#if 0
+               printf("trace (%d, %d) outer=%d hor=%d dir=%d\n", x, y, outer, hor, dir);
+#endif
+               ig_rlineto(g, x+xoff, y+yoff); /* intermediate as int */
+               g_closepath(g);
+       }
+
+
+       /* try to vectorize the curves and sloped lines in the bitmap */
+       if(vectorize) { 
+               GENTRY *ge, *pge, *cge, *loopge;
+               int i;
+               int skip;
+
+               dumppaths(g, NULL, NULL);
+
+               /* allocate the extensions */
+               for(cge=g->entries; cge!=0; cge=cge->next) {
+                       cge->ext = calloc(1, sizeof(GEX_FRAG) );
+                       if(cge->ext == 0)  {
+                               fprintf (stderr, "****malloc failed %s line %d\n", __FILE__, __LINE__);
+                               exit(255);
+                       }
+               }
+
+               for(cge=g->entries; cge!=0; cge=cge->next) {
+                       if(cge->type != GE_MOVE)
+                               continue;
+
+                       /* we've found the beginning of a contour */
+                       {
+                               int d, vert, count, stepmore, delaystop;
+                               int vdir, hdir, fullvdir, fullhdir, len;
+                               int dx, dy, lastdx, lastdy; 
+                               int k1, k2, reversal, smooth, good;
+                               int line[2 /*H,V*/], maxlen[2 /*H,V*/], minlen[2 /*H,V*/];
+                               GENTRY **age; /* array of gentries in a contour */
+                               int clen; /* contour length, size of ths array */
+                               int i, j;
+                               GEX_FRAG *f;
+
+                               /* we know that all the contours start at the top-left corner,
+                                * so at most it might be before/after the last element of
+                                * the last/first fragment
+                                */
+
+                               ge = cge->next;
+                               pge = ge->bkwd;
+                               if(ge->ix3 == pge->ix3) { /* a vertical line */
+                                       /* we want to start always from a horizontal line because
+                                        * then we always start from top and that is quaranteed to be a 
+                                        * fragment boundary, so move the start point of the contour
+                                        */
+                                       pge->prev->next = pge->next;
+                                       pge->next->prev = pge->prev;
+                                       cge->next = pge;
+                                       pge->prev = cge;
+                                       pge->next = ge;
+                                       ge->prev = pge;
+                                       ge = pge; pge = ge->bkwd;
+                                       cge->ix3 = pge->ix3; cge->iy3 = pge->iy3;
+                               }
+
+                               /* fill the array of gentries */
+                               clen = 1;
+                               for(ge = cge->next->frwd; ge != cge->next; ge = ge->frwd)
+                                       clen++;
+                               age = (GENTRY **)malloc(sizeof(*age) * clen);
+                               ge = cge->next;
+                               count = 0;
+                               do {
+                                       age[count] = ge;
+                                       X_FRAG(ge)->aidx = count++;
+
+                                       /* and by the way find the extremums */
+                                       for(i=0; i<2; i++) {
+                                               if( isign(ge->frwd->ipoints[i][2] - ge->ipoints[i][2])
+                                               * isign(ge->bkwd->bkwd->ipoints[i][2] - ge->bkwd->ipoints[i][2]) == 1) {
+                                                       X_FRAG(ge)->flags |= GEXFF_EXTR;
+                                                       fprintf(stderr, "  %s extremum at %p\n", (i?"vert":"hor"), ge);
+                                               }
+                                               if(abs(ge->ipoints[i][2] - ge->bkwd->ipoints[i][2]) > 1)
+                                                       X_FRAG(ge)->flags |= GEXFF_LONG;
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               /* Find the convex and concave fragments, defined as:
+                                * convex (clockwise): dy/dx <= dy0/dx0, 
+                                *  or a reversal: dy/dx == - dy0/dx0 && abs(dxthis) == 1 && dy/dx > 0
+                                * concave (counter-clockwise): dy/dx >= dy0/dx0, 
+                                *  or a reversal: dy/dx == - dy0/dx0 && abs(dxthis) == 1 && dy/dx < 0
+                                *
+                                * Where dx and dy are measured between the end of this gentry
+                                * and the start of the previous one (dx0 and dy0 are the same
+                                * thing calculated for the previous gentry and its previous one),
+                                * dxthis is between the end and begginning of this gentry.
+                                *
+                                * A reversal is a situation when the curve changes its direction
+                                * along the x axis, so it passes through a momentary vertical
+                                * direction.
+                                */
+                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                       ge = cge->next;
+                                       pge = ge->bkwd; /* the beginning of the fragment */
+                                       count = 1;
+                                       lastdx = pge->ix3 - pge->bkwd->bkwd->ix3;
+                                       lastdy = pge->iy3 - pge->bkwd->bkwd->iy3;
+
+#define CHKCURVCONN(ge, msg)   do { \
+               dx = (ge)->ix3 - (ge)->bkwd->bkwd->ix3; \
+               dy = (ge)->iy3 - (ge)->bkwd->bkwd->iy3; \
+               if(0 && msg) { \
+                       fprintf(stderr, "  %p: dx=%d dy=%d dx0=%d dy0=%d ", \
+                               (ge), dx, dy, lastdx, lastdy); \
+               } \
+               k1 = X_FRAG(ge)->flags; \
+               k2 = X_FRAG((ge)->bkwd)->flags; \
+               if(0 && msg) { \
+                       fprintf(stderr, "fl=%c%c%c%c ", \
+                               (k1 & GEXFF_EXTR) ? 'X' : '-', \
+                               (k1 & GEXFF_LONG) ? 'L' : '-', \
+                               (k2 & GEXFF_EXTR) ? 'X' : '-', \
+                               (k2 & GEXFF_LONG) ? 'L' : '-' \
+                       ); \
+               } \
+               if( (k1 & GEXFF_EXTR) && (k2 & GEXFF_LONG) \
+               || (k2 & GEXFF_EXTR) && (k1 & GEXFF_LONG) ) { \
+                       smooth = 0; \
+                       good = reversal = -1; /* for debugging */ \
+               } else { \
+                       k1 = dy * lastdx; \
+                       k2 = lastdy * dx; \
+                       smooth = (abs(dx)==1 || abs(dy)==1); \
+                       good = (k1 - k2)*gxf_cvk[d] >= 0; \
+                       if(smooth && !good) { \
+                               reversal = (k1 == -k2 && abs((ge)->ix3 - (ge)->bkwd->ix3)==1  \
+                                       && dy*dx*gxf_cvk[d] < 0); \
+                       } else \
+                               reversal = 0; \
+               } \
+               if(0 && msg) { \
+                       fprintf(stderr, "k1=%d k2=%d pge=%p count=%d %s good=%d rev=%d\n", \
+                               k1, k2, pge, count, gxf_name[d], good, reversal); \
+               } \
+       } while(0)
+
+                                       do {
+                                               CHKCURVCONN(ge, 1);
+
+                                               if(smooth && (good || reversal) )
+                                                       count++;
+                                               else {
+                                                       /* can't continue */
+#if 0
+                                                       if(count >= 4) { /* worth remembering */
+                                                               fprintf(stderr, " %s frag %p-%p count=%d\n", gxf_name[d], pge, ge->bkwd, count);
+                                                       }
+#endif
+                                                       X_FRAG(pge)->len[d] = count;
+                                                       if(smooth) {
+                                                               pge = ge->bkwd;
+                                                               count = 2;
+                                                       } else {
+                                                               pge = ge;
+                                                               count = 1;
+                                                       }
+                                               }
+                                               lastdx = dx; lastdy = dy;
+                                               ge = ge->frwd;
+                                       } while(ge != cge->next);
+
+                                       /* see if we can connect the last fragment to the first */
+                                       CHKCURVCONN(ge, 1);
+
+                                       if(smooth && (good || reversal) ) {
+                                               /* -1 to avoid ge->bkwd being counted twice */
+                                               if( X_FRAG(ge->bkwd)->len[d] >= 2 )
+                                                       count += X_FRAG(ge->bkwd)->len[d] - 1;
+                                               else if(count == clen+1) {
+                                                       /* we are joining a circular (closed) curve, check whether it
+                                                        * can be joined at any point or whether it has a discontinuity
+                                                        * at the point where we join it now
+                                                        */
+                                                       lastdx = dx; lastdy = dy;
+                                                       CHKCURVCONN(ge->frwd, 0);
+
+                                                       if(smooth && (good || reversal) ) {
+                                                               /* yes, the curve is truly a circular one and can be 
+                                                                * joined at any point
+                                                                */
+
+#if 0
+                                                               fprintf(stderr, " found a circular joint point at %p\n", pge);
+#endif
+                                                               /* make sure that in a circular fragment we start from an extremum */
+                                                               while( ! (X_FRAG(pge)->flags & GEXFF_EXTR) )
+                                                                       pge = pge->frwd;
+                                                               X_FRAG(pge)->flags |= GEXFF_CIRC;
+                                                       }
+                                               }
+#if 0
+                                               fprintf(stderr, " %s joined %p to %p count=%d bk_count=%d\n", gxf_name[d], pge, ge->bkwd, 
+                                                       count, X_FRAG(ge->bkwd)->len[d] );
+#endif
+                                               X_FRAG(ge->bkwd)->len[d] = 0;
+                                       } 
+                                       X_FRAG(pge)->len[d] = count;
+#if 0
+                                       if(count >= 4) { /* worth remembering */
+                                               fprintf(stderr, " %s last frag %p-%p count=%d\n", gxf_name[d], pge, ge->bkwd, count);
+                                       }
+#endif
+#undef CHKCURVCONN
+
+                                       /* do postprocessing */
+                                       ge = cge->next;
+                                       do {
+                                               f = X_FRAG(ge);
+                                               len = f->len[d];
+#if 0
+                                               fprintf(stderr, "   %p %s len=%d clen=%d\n", ge, gxf_name[d], len, clen);
+#endif
+                                               if(len < 3) /* get rid of the fragments that are too short */
+                                                       f->len[d] = 0;
+                                               else if(len == 3) {
+                                                       /*                                                    _
+                                                        * drop the |_| - shaped fragments, leave alone the _|  - shaped
+                                                        * (and even those only if not too short in pixels),
+                                                        * those left alone are further filtered later
+                                                        */
+                                                       k1 = (ge->ix3 == ge->bkwd->ix3); /* axis of the start */
+                                                       if(isign(ge->ipoints[k1][2] - ge->bkwd->ipoints[k1][2])
+                                                               != isign(ge->frwd->ipoints[k1][2] - ge->frwd->frwd->ipoints[k1][2])
+                                                       && abs(ge->frwd->frwd->ipoints[k1][2] - ge->bkwd->ipoints[k1][2]) > 2) {
+#if 0
+                                                               fprintf(stderr, " %s frag %p count=%d good shape\n", 
+                                                                       gxf_name[d], ge, count);
+#endif
+                                                       } else
+                                                               f->len[d] = 0;
+                                               } else if(len == clen+1)
+                                                       break;  /* a closed fragment, nothing else interesting */
+                                               else { /* only for open fragments */
+                                                       GENTRY *gem, *gex, *gei, *ges;
+
+                                                       ges = ge; /* the start entry */
+                                                       gem = age[(f->aidx + f->len[d])%clen]; /* entry past the end of the fragment */
+
+                                                       gei = ge->frwd;
+                                                       if( (ge->ix3 == ge->bkwd->ix3) /* vert */
+                                                       ^ (isign(ge->bkwd->ix3 - gei->ix3)==isign(ge->bkwd->iy3 - gei->iy3))
+                                                       ^ !(d == GEXFI_CONVEX) /* counter-clockwise */ ) {
+
+#if 0
+                                                               fprintf(stderr, " %p: %s potential spurious start\n", ge, gxf_name[d]);
+#endif
+                                                               /* the beginning may be a spurious entry */
+
+                                                               gex = 0; /* the extremum closest to the beginning - to be found */
+                                                               for(gei = ge->frwd; gei != gem; gei = gei->frwd) {
+                                                                       if(X_FRAG(gei)->flags & GEXFF_EXTR) {
+                                                                               gex = gei;
+                                                                               break;
+                                                                       }
+                                                               }
+                                                               if(gex == 0)
+                                                                       gex = gem->bkwd; 
+
+                                                               /* A special case: ignore the spurious ends on small curves that
+                                                                * either enclose an 1-pixel-wide extremum or are 1-pixel deep.
+                                                                * Any 5-or-less-pixel-long curve with extremum 2 steps away
+                                                                * qualifies for that.
+                                                                */
+
+                                                               if(len <= 5 && gex == ge->frwd->frwd) {
+                                                                       good = 0;
+#if 0
+                                                                       fprintf(stderr, " E");
+#endif
+                                                               } else {
+                                                                       good = 1; /* assume that ge is not spurious */
+
+                                                                       /* gei goes backwards, gex goes forwards from the extremum */
+                                                                       gei = gex;
+                                                                       /* i is the symmetry axis, j is the other axis (X=0 Y=1) */
+                                                                       i = (gex->ix3 != gex->bkwd->ix3);
+                                                                       j = !i;
+                                                                       for( ; gei!=ge && gex!=gem; gei=gei->bkwd, gex=gex->frwd) {
+                                                                               if( gei->bkwd->ipoints[i][2] != gex->ipoints[i][2]
+                                                                               || gei->bkwd->ipoints[j][2] - gei->ipoints[j][2]
+                                                                                       != gex->bkwd->ipoints[j][2] - gex->ipoints[j][2] 
+                                                                               ) {
+                                                                                       good = 0; /* no symmetry - must be spurious */
+#if 0
+                                                                                       fprintf(stderr, " M(%p,%p)(%d %d,%d)(%d %d,%d)",
+                                                                                               gei, gex,
+                                                                                               i, gei->bkwd->ipoints[i][2], gex->ipoints[i][2],
+                                                                                               j, gei->bkwd->ipoints[j][2] - gei->ipoints[j][2],
+                                                                                               gex->bkwd->ipoints[j][2] - gex->ipoints[j][2] );
+#endif
+                                                                                       break;
+                                                                               }
+                                                                       }
+                                                                       if(gex == gem) { /* oops, the other side is too short */
+                                                                               good = 0;
+#if 0
+                                                                               fprintf(stderr, " X");
+#endif
+                                                                       }
+                                                                       if(good && gei == ge) {
+                                                                               if( isign(gei->bkwd->ipoints[j][2] - gei->ipoints[j][2])
+                                                                               != isign(gex->bkwd->ipoints[j][2] - gex->ipoints[j][2]) ) {
+                                                                                       good = 0; /* oops, goes into another direction */
+#if 0
+                                                                                       fprintf(stderr, " D");
+#endif
+                                                                               }
+                                                                       }
+                                                               }
+                                                               if(!good) { /* it is spurious, drop it */
+#if 0
+                                                                       fprintf(stderr, " %p: %s spurious start\n", ge, gxf_name[d]);
+#endif
+                                                                       f->len[d] = 0;
+                                                                       ges = ge->frwd;
+                                                                       len--;
+                                                                       X_FRAG(ges)->len[d] = len;
+                                                               }
+                                                       }
+
+                                                       gei = gem->bkwd->bkwd->bkwd;
+                                                       if( (gem->ix3 != gem->bkwd->ix3) /* gem->bkwd is vert */
+                                                       ^ (isign(gem->bkwd->ix3 - gei->ix3)==isign(gem->bkwd->iy3 - gei->iy3))
+                                                       ^ (d == GEXFI_CONVEX) /* clockwise */ ) {
+                                                               
+#if 0
+                                                               fprintf(stderr, " %p: %s potential spurious end\n", gem->bkwd, gxf_name[d]);
+#endif
+                                                               /* the end may be a spurious entry */
+
+                                                               gex = 0; /* the extremum closest to the end - to be found */
+                                                               for(gei = gem->bkwd->bkwd; gei != ges->bkwd; gei = gei->bkwd) {
+                                                                       if(X_FRAG(gei)->flags & GEXFF_EXTR) {
+                                                                               gex = gei;
+                                                                               break;
+                                                                       }
+                                                               }
+                                                               if(gex == 0)
+                                                                       gex = ges; 
+
+                                                               good = 1; /* assume that gem->bkwd is not spurious */
+                                                               /* gei goes backwards, gex goes forwards from the extremum */
+                                                               gei = gex;
+                                                               /* i is the symmetry axis, j is the other axis (X=0 Y=1) */
+                                                               i = (gex->ix3 != gex->bkwd->ix3);
+                                                               j = !i;
+                                                               for( ; gei!=ges->bkwd && gex!=gem->bkwd; gei=gei->bkwd, gex=gex->frwd) {
+                                                                       if( gei->bkwd->ipoints[i][2] != gex->ipoints[i][2]
+                                                                       || gei->bkwd->ipoints[j][2] - gei->ipoints[j][2]
+                                                                               != gex->bkwd->ipoints[j][2] - gex->ipoints[j][2] 
+                                                                       ) {
+                                                                               good = 0; /* no symmetry - must be spurious */
+#if 0
+                                                                               fprintf(stderr, " M(%p,%p)(%d %d,%d)(%d %d,%d)",
+                                                                                       gei, gex,
+                                                                                       i, gei->bkwd->ipoints[i][2], gex->ipoints[i][2],
+                                                                                       j, gei->bkwd->ipoints[j][2] - gei->ipoints[j][2],
+                                                                                       gex->bkwd->ipoints[j][2] - gex->ipoints[j][2] );
+#endif
+                                                                               break;
+                                                                       }
+                                                               }
+                                                               if(gei == ges->bkwd) { /* oops, the other side is too short */
+                                                                       good = 0;
+#if 0
+                                                                       fprintf(stderr, " X");
+#endif
+                                                               }
+                                                               if(good && gex == gem->bkwd) {
+                                                                       if( isign(gei->bkwd->ipoints[j][2] - gei->ipoints[j][2])
+                                                                       != isign(gex->bkwd->ipoints[j][2] - gex->ipoints[j][2]) ) {
+                                                                               good = 0; /* oops, goes into another direction */
+#if 0
+                                                                               fprintf(stderr, " D");
+#endif
+                                                                       }
+                                                               }
+                                                               if(!good) { /* it is spurious, drop it */
+#if 0
+                                                                       fprintf(stderr, " %p: %s spurious end\n", gem->bkwd, gxf_name[d]);
+#endif
+                                                                       X_FRAG(ges)->len[d] = --len;
+                                                               }
+                                                       }
+                                                       if(len < 4) {
+                                                               X_FRAG(ges)->len[d] = 0;
+#if 0
+                                                               fprintf(stderr, " %p: %s frag discarded, too small now\n", ge, gxf_name[d]);
+#endif
+                                                       }
+                                                       if(ges != ge) {
+                                                               if(ges == cge->next)
+                                                                       break; /* went around the loop */
+                                                               else {
+                                                                       ge = ges->frwd; /* don't look at this fragment twice */
+                                                                       continue;
+                                                               }
+                                                       }
+                                               }
+
+                                               ge = ge->frwd;
+                                       } while(ge != cge->next);
+                               }
+
+                               /* Find the straight line fragments.
+                                * Even though the lines are sloped, they are called
+                                * "vertical" or "horizontal" according to their longer
+                                * dimension. All the steps in the shother dimension must 
+                                * be 1 pixel long, all the steps in the longer dimension
+                                * must be within the difference of 1 pixel.
+                                */
+                               for(d = GEXFI_LINE; d<= GEXFI_EXACTLINE; d++) {
+                                       ge = cge->next;
+                                       pge = ge->bkwd; /* the beginning of the fragment */
+                                       count = 1;
+                                       delaystop = 0;
+                                       do {
+                                               int h;
+
+                                               stepmore = 0;
+                                               hdir = isign(ge->ix3 - ge->bkwd->ix3);
+                                               vdir = isign(ge->iy3 - ge->bkwd->iy3);
+                                               vert = (hdir == 0);
+                                               if(count==1) {
+                                                       /* at this point pge==ge->bkwd */
+                                                       /* account for the previous gentry, which was !vert */
+                                                       if(!vert) { /* prev was vertical */
+                                                               maxlen[0] = minlen[0] = 0;
+                                                               maxlen[1] = minlen[1] = abs(pge->iy3 - pge->bkwd->iy3);
+                                                               line[0] = (maxlen[1] == 1);
+                                                               line[1] = 1;
+                                                               fullhdir = hdir;
+                                                               fullvdir = isign(pge->iy3 - pge->bkwd->iy3);
+                                                       } else {
+                                                               maxlen[0] = minlen[0] = abs(pge->ix3 - pge->bkwd->ix3);
+                                                               maxlen[1] = minlen[1] = 0;
+                                                               line[0] = 1;
+                                                               line[1] = (maxlen[0] == 1);
+                                                               fullhdir = isign(pge->ix3 - pge->bkwd->ix3);
+                                                               fullvdir = vdir;
+                                                       }
+                                               }
+                                               h = line[0]; /* remember the prevalent direction */
+#if 0
+                                               fprintf(stderr, "  %p: v=%d(%d) h=%d(%d) vl(%d,%d,%d) hl=(%d,%d,%d) %s count=%d ",
+                                                       ge, vdir, fullvdir, hdir, fullhdir, 
+                                                       line[1], minlen[1], maxlen[1],
+                                                       line[0], minlen[0], maxlen[0],
+                                                       gxf_name[d], count);
+#endif
+                                               if(vert) {
+                                                       if(vdir != fullvdir)
+                                                               line[0] = line[1] = 0;
+                                                       len = abs(ge->iy3 - ge->bkwd->iy3);
+                                               } else {
+                                                       if(hdir != fullhdir)
+                                                               line[0] = line[1] = 0;
+                                                       len = abs(ge->ix3 - ge->bkwd->ix3);
+                                               }
+#if 0
+                                               fprintf(stderr, "len=%d\n", len);
+#endif
+                                               if(len != 1) /* this is not a continuation in the short dimension */
+                                                       line[!vert] = 0;
+
+                                               /* can it be a continuation in the long dimension ? */
+                                               if( line[vert] ) {
+                                                       if(maxlen[vert]==0)
+                                                               maxlen[vert] = minlen[vert] = len;
+                                                       else if(maxlen[vert]==minlen[vert]) {
+                                                               if(d == GEXFI_EXACTLINE) {
+                                                                       if(len != maxlen[vert])
+                                                                               line[vert] = 0; /* it can't */
+                                                               } else if(len < maxlen[vert]) {
+                                                                       if(len < minlen[vert]-1)
+                                                                               line[vert] = 0; /* it can't */
+                                                                       else
+                                                                               minlen[vert] = len;
+                                                               } else {
+                                                                       if(len > maxlen[vert]+1)
+                                                                               line[vert] = 0; /* it can't */
+                                                                       else
+                                                                               maxlen[vert] = len;
+                                                               }
+                                                       } else if(len < minlen[vert] || len > maxlen[vert])
+                                                               line[vert] = 0; /* it can't */
+                                               }
+
+                                               if(line[0] == 0 && line[1] == 0) {
+#if 0
+                                                       if(count >= 3)
+                                                               fprintf(stderr, " %s frag %p-%p count=%d\n", gxf_name[d], pge, ge->bkwd, count);
+#endif
+                                                       X_FRAG(pge)->len[d] = count;
+                                                       if(d == GEXFI_EXACTLINE && h) {
+                                                               X_FRAG(pge)->flags |= GEXFF_HLINE;
+                                                       }
+                                                       if(count == 1)
+                                                               pge = ge;
+                                                       else {
+                                                               stepmore = 1; /* may reconsider the 1st gentry */
+                                                               pge = ge = ge->bkwd;
+                                                               count = 1;
+                                                       }
+                                               } else
+                                                       count++;
+
+                                               ge = ge->frwd;
+                                               if(ge == cge->next && !stepmore)
+                                                       delaystop = 1; /* consider the first gentry again */
+                                       } while(stepmore || ge != cge->next ^ delaystop);
+                                       /* see if there is an unfinished line left */
+                                       if(count != 1) {
+#if 0
+                                               if(count >= 3)
+                                                       fprintf(stderr, " %s frag %p-%p count=%d\n", gxf_name[d], pge, ge->bkwd, count);
+#endif
+                                               X_FRAG(ge->bkwd->bkwd)->len[d] = 0;
+                                               X_FRAG(pge)->len[d] = count;
+                                       }
+                               }
+
+                               /* do postprocessing of the lines */
+#if 0
+                               fprintf(stderr, "Line postprocessing\n");
+                               gex_dump_contour(cge->next, clen);
+#endif
+
+                               /* the non-exact line frags are related to exact line frags sort 
+                                * of like to individual gentries: two kinds of exact frags
+                                * must be interleaved, with one kind having the size of 3
+                                * and the other kind having the size varying within +-2.
+                                */
+
+                               ge = cge->next;
+                               do {
+                                       GEX_FRAG *pf, *lastf1, *lastf2;
+                                       int len1, len2, fraglen;
+
+                                       f = X_FRAG(ge);
+
+                                       fraglen = f->len[GEXFI_LINE];
+                                       if(fraglen >= 4) {
+
+                                               vert = 0; /* vert is a pseudo-directon */
+                                               line[0] = line[1] = 1;
+                                               maxlen[0] = minlen[0] = maxlen[1] = minlen[1] = 0;
+                                               lastf2 = lastf1 = f;
+                                               len2 = len1 = 0;
+                                               for(pge = ge, i = 1; i < fraglen; i++, pge=pge->frwd) {
+                                                       pf = X_FRAG(pge);
+                                                       len = pf->len[GEXFI_EXACTLINE];
+#if 0
+                                                       fprintf(stderr, "      pge=%p i=%d of %d ge=%p exLen=%d\n", pge, i, 
+                                                               f->len[GEXFI_LINE], ge, len);
+#endif
+                                                       len1++; len2++;
+                                                       if(len==0) {
+                                                               continue;
+                                                       }
+                                                       vert = !vert; /* alternate the pseudo-direction */
+                                                       if(len > 3)
+                                                               line[!vert] = 0;
+                                                       if(maxlen[vert] == 0)
+                                                               maxlen[vert] = minlen[vert] = len;
+                                                       else if(maxlen[vert]-2 >= len && minlen[vert]+2 <= len) {
+                                                               if(len > maxlen[vert])
+                                                                       maxlen[vert] = len;
+                                                               else if(len < minlen[vert])
+                                                                       minlen[vert] = len;
+                                                       } else
+                                                               line[vert] = 0;
+                                                       if(line[0] == 0 && line[1] == 0) {
+#if 0
+                                                               fprintf(stderr, "  Line breaks at %p %c(%d, %d) %c(%d, %d) len=%d fl=%d l2=%d l1=%d\n",
+                                                                       pge, (!vert)?'*':' ', minlen[0], maxlen[0], 
+                                                                       vert?'*':' ', minlen[1], maxlen[1], len, fraglen, len2, len1);
+#endif
+                                                               if(lastf2 != lastf1) {
+                                                                       lastf2->len[GEXFI_LINE] = len2-len1;
+                                                               }
+                                                               lastf1->len[GEXFI_LINE] = len1+1;
+                                                               pf->len[GEXFI_LINE] = fraglen+1 - i;
+                                                               gex_dump_contour(pge, clen);
+
+                                                               /* continue with the line */
+                                                               vert = 0; /* vert is a pseudo-directon */
+                                                               line[0] = line[1] = 1;
+                                                               maxlen[0] = minlen[0] = maxlen[1] = minlen[1] = 0;
+                                                               lastf2 = lastf1 = f;
+                                                               len2 = len1 = 0;
+                                                       } else {
+                                                               lastf1 = pf;
+                                                               len1 = 0;
+                                                       }
+                                               }
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+#if 0
+                               gex_dump_contour(cge->next, clen);
+#endif
+
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+
+                                       if(f->len[GEXFI_LINE] >= 4) {
+                                               len = f->len[GEXFI_EXACTLINE];
+                                               /* if a non-exact line covers precisely two exact lines,
+                                                * split it
+                                                */
+                                               if(len > 0 && f->len[GEXFI_LINE] > len+1) {
+                                                       GEX_FRAG *pf;
+                                                       pge = age[(f->aidx + len - 1)%clen]; /* last gentry of exact line */
+                                                       pf = X_FRAG(pge);
+                                                       if(f->len[GEXFI_LINE] + 1 == len + pf->len[GEXFI_EXACTLINE]) {
+                                                               f->len[GEXFI_LINE] = len;
+                                                               f->flags |= GEXFF_SPLIT;
+                                                               pf->len[GEXFI_LINE] = pf->len[GEXFI_EXACTLINE];
+                                                               pf->flags |= GEXFF_SPLIT;
+                                                       }
+                                               }
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+
+                                       /* too small lines are of no interest */
+                                       if( (f->flags & GEXFF_SPLIT)==0 && f->len[GEXFI_LINE] < 4)
+                                               f->len[GEXFI_LINE] = 0;
+
+                                       len = f->len[GEXFI_EXACTLINE];
+                                       /* too small exact lines are of no interest */
+                                       if(len < 3) /* exact lines may be shorter */
+                                               f->len[GEXFI_EXACTLINE] = 0;
+                                       /* get rid of inexact additions to the end of the exact lines */
+                                       else if(f->len[GEXFI_LINE] == len+1)
+                                               f->len[GEXFI_LINE] = len;
+                                       /* same at the beginning */
+                                       else {
+                                               int diff = X_FRAG(ge->bkwd)->len[GEXFI_LINE] - len;
+
+                                               if(diff == 1 || diff == 2) {
+                                                       X_FRAG(ge->bkwd)->len[GEXFI_LINE] = 0;
+                                                       f->len[GEXFI_LINE] = len;
+                                               }
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+#if 0
+                               gex_dump_contour(cge->next, clen);
+#endif
+
+                               gex_calc_lenback(cge->next, clen); /* prepare data */
+
+                               /* resolve conflicts between lines and curves */
+
+                               /*
+                                * the short (3-gentry) curve frags must have one of the ends
+                                * coinciding with another curve frag of the same type
+                                */
+
+                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                       ge = cge->next;
+                                       do {
+                                               f = X_FRAG(ge);
+
+                                               if(f->len[d] == 3) {
+                                                       pge = age[(f->aidx + 2)%clen]; /* last gentry of this frag */
+                                                       if(f->lenback[d] == 0 && X_FRAG(pge)->len[d] == 0) {
+                                                               fprintf(stderr, "    discarded small %s at %p-%p\n", gxf_name[d], ge, pge);
+                                                               f->len[d] = 0;
+                                                               X_FRAG(ge->frwd)->lenback[d] = 0;
+                                                               X_FRAG(ge->frwd->frwd)->lenback[d] = 0;
+                                                       }
+                                               }
+                                               ge = ge->frwd;
+                                       } while(ge != cge->next);
+                               }
+
+                               /*
+                                * longer exact lines take priority over curves, shorter lines
+                                * and inexact lines are resolved with convex/concave conflicts
+                                */
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+
+                                       len = f->len[GEXFI_EXACTLINE]; 
+
+                                       if(len < 6) { /* line is short */
+                                               ge = ge->frwd;
+                                               continue;
+                                       }
+
+                                       fprintf(stderr, "   line at %p len=%d\n", ge, f->len[GEXFI_EXACTLINE]);
+                                       for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                               GEX_FRAG *pf;
+
+                                               /* check if we overlap the end of some fragment */
+                                               if(f->lenback[d]) {
+                                                       /* chop off the end of conflicting fragment */
+                                                       len = f->lenback[d];
+                                                       pge = age[(f->aidx + clen - len)%clen];
+                                                       pf = X_FRAG(pge);
+                                                       if(pf->len[d] == clen+1 && pf->flags & GEXFF_CIRC) {
+                                                               /* the conflicting fragment is self-connected */
+
+                                                               pf->len[d] = 0;
+                                                               /* calculate the new value for lenback */
+                                                               len = clen+1 - f->len[GEXFI_EXACTLINE];
+                                                               for(pge = ge; len > 0; pge = pge->bkwd, len--)
+                                                                       X_FRAG(pge)->lenback[d] = len;
+                                                               /* now pge points to the last entry of the line,
+                                                                * which is also the new first entry of the curve
+                                                                */
+                                                               X_FRAG(pge)->len[d] = clen+2 - f->len[GEXFI_EXACTLINE];
+                                                               /* clean lenback of gentries covered by the line */
+                                                               for(pge = ge->frwd, j = f->len[GEXFI_EXACTLINE]-1; j > 0; pge = pge->frwd, j--)
+                                                                       X_FRAG(pge)->lenback[d] = 0;
+                                                               fprintf(stderr, "    cut %s circular frag to %p-%p\n", 
+                                                                       gxf_name[d], pge, ge);
+                                                               gex_dump_contour(ge, clen);
+                                                       } else {
+                                                               /* when we chop off a piece of fragment, we leave the remaining
+                                                                * piece(s) overlapping with the beginning and possibly the end 
+                                                                * of the line fragment under consideration
+                                                                */
+                                                               fprintf(stderr, "    cut %s frag at %p from len=%d to len=%d (end %p)\n", 
+                                                                       gxf_name[d], pge, pf->len[d], len+1, ge);
+                                                               j = pf->len[d] - len - 1; /* how many gentries are chopped off */
+                                                               pf->len[d] = len + 1;
+                                                               i = f->len[GEXFI_EXACTLINE] - 1;
+                                                               for(pge = ge->frwd; j > 0 && i > 0; j--, i--, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[d] = 0;
+                                                               gex_dump_contour(ge, clen);
+
+                                                               if(j != 0) {
+                                                                       /* the conflicting fragment is split in two by this line
+                                                                        * fragment, fix up its tail
+                                                                        */
+
+                                                                       fprintf(stderr, "    end of %s frag len=%d %p-", 
+                                                                               gxf_name[d], j+1, pge->bkwd);
+                                                                       X_FRAG(pge->bkwd)->len[d] = j+1; /* the overlapping */
+                                                                       for(i = 1; j > 0; j--, i++, pge = pge->frwd)
+                                                                               X_FRAG(pge)->lenback[d] = i;
+                                                                       fprintf(stderr, "%p\n", pge->bkwd);
+                                                                       gex_dump_contour(ge, clen);
+                                                               }
+                                                       }
+                                               }
+                                               /* check if we overlap the beginning of some fragments */
+                                               i = f->len[GEXFI_EXACTLINE]-1; /* getntries remaining to consider */
+                                               j = 0; /* gentries remaining in the overlapping fragment */
+                                               for(pge = ge; i > 0; i--, pge = pge->frwd) {
+                                                       if(j > 0) {
+                                                               X_FRAG(pge)->lenback[d] = 0;
+                                                               j--;
+                                                       } 
+                                                       /* the beginning of one fragment may be the end of another
+                                                        * fragment, in this case if j-- above results in 0, that will 
+                                                        * cause it to check the same gentry for the beginning
+                                                        */
+                                                       if(j == 0) {
+                                                               pf = X_FRAG(pge);
+                                                               j = pf->len[d]; 
+                                                               if(j != 0) {
+                                                                       fprintf(stderr, "    removed %s frag at %p len=%d\n", 
+                                                                               gxf_name[d], pge, j);
+                                                                       gex_dump_contour(ge, clen);
+                                                                       pf->len[d] = 0;
+                                                                       j--;
+                                                               }
+                                                       }
+                                               }
+                                               /* pge points at the last gentry of the line fragment */
+                                               if(j > 1) { /* we have the tail of a fragment left */
+                                                       fprintf(stderr, "    end of %s frag len=%d %p-", 
+                                                               gxf_name[d], j, pge);
+                                                       X_FRAG(pge)->len[d] = j; /* the overlapping */
+                                                       for(i = 0; j > 0; j--, i++, pge = pge->frwd)
+                                                               X_FRAG(pge)->lenback[d] = i;
+                                                       fprintf(stderr, "%p\n", pge->bkwd);
+                                                       gex_dump_contour(ge, clen);
+                                               } else if(j == 1) {
+                                                       X_FRAG(pge)->lenback[d] = 0;
+                                               }
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               /*
+                                * The exact lines take priority over curves that coincide
+                                * with them or extend by only one gentry on either side
+                                * (but not both sides). By this time it applies only to the
+                                * small exact lines.
+                                */
+
+                               /* Maybe we should remove only exact coincidences ? */
+
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+
+                                       len = f->len[GEXFI_EXACTLINE];
+                                       if(len >= 4) {
+                                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                                       if(f->len[d] == len || f->len[d] == len+1) {
+
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d linelen=%d\n", 
+                                                                       gxf_name[d], ge, f->len[d], len);
+                                                               pge = ge->frwd;
+                                                               for(i = f->len[d]; i > 1; i--, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[d] = 0;
+                                                               f->len[d] = 0;
+                                                               gex_dump_contour(ge, clen);
+                                                       } else if(X_FRAG(ge->bkwd)->len[d] == len+1) {
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d next linelen=%d\n", 
+                                                                       gxf_name[d], ge->bkwd, X_FRAG(ge->bkwd)->len[d], len);
+                                                               pge = ge;
+                                                               for(i = len; i > 0; i--, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[d] = 0;
+                                                               X_FRAG(ge->bkwd)->len[d] = 0;
+                                                               gex_dump_contour(ge, clen);
+                                                       }
+                                               }
+                                       }
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               /* 
+                                * The lines may cover only whole curves (or otherwise empty space),
+                                * so cut them where they overlap parts of the curves. If 2 or less
+                                * gentries are left in the line, remove the line.
+                                * If a line and a curve fully coincide, remove the line.  Otherwise 
+                                * remove the curves that are completely covered by the lines.
+                                */
+
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+
+                               reconsider_line:
+                                       len = f->len[GEXFI_LINE];
+
+                                       if(len == 0) {
+                                               ge = ge->frwd;
+                                               continue;
+                                       }
+
+                                       if(f->len[GEXFI_CONVEX] >= len 
+                                       || f->len[GEXFI_CONCAVE] >= len) {
+                               line_completely_covered:
+                                               fprintf(stderr, "    removed covered Line frag at %p len=%d\n", 
+                                                       ge, len);
+                                               f->len[GEXFI_LINE] = 0;
+                                               for(pge = ge->frwd; len > 1; len--, pge = pge->frwd)
+                                                       X_FRAG(pge)->lenback[GEXFI_LINE] = 0;
+                                               gex_dump_contour(ge, clen);
+                                               ge = ge->frwd;
+                                               continue;
+                                       }
+                                       
+                                       k1 = 0; /* how much to cut at the front */
+                                       for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                               if(f->lenback[d]) {
+                                                       pge = age[(f->aidx + clen - f->lenback[d])%clen];
+                                                       i = X_FRAG(pge)->len[d] - f->lenback[d] - 1;
+                                                       if(i > k1)
+                                                               k1 = i;
+                                               }
+                                       }
+
+                                       k2 = 0; /* how much to cut at the end */
+                                       pge = age[(f->aidx + len)%clen]; /* gentry after the end */
+                                       for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                               i = X_FRAG(pge)->lenback[d] - 1;
+                                               if(i > k2)
+                                                       k2 = i;
+                                       }
+
+                                       if(k1+k2 > 0 && k1+k2 >= len-3)
+                                               goto line_completely_covered;
+
+                                       if(k2 != 0) { /* cut the end */
+                                               len -= k2;
+                                               f->len[GEXFI_LINE] = len;
+                                               /* pge still points after the end */
+                                               for(i = k2, pge = pge->bkwd; i > 0; i--, pge = pge->bkwd)
+                                                       X_FRAG(pge)->lenback[GEXFI_LINE] = 0;
+                                       }
+                                       if(k1 != 0) { /* cut the beginning */
+                                               len -= k1;
+                                               f->len[GEXFI_LINE] = 0;
+                                               for(i = 1, pge = ge->frwd; i < k1; i++, pge = pge->frwd)
+                                                       X_FRAG(pge)->lenback[GEXFI_LINE] = 0;
+                                               X_FRAG(pge)->len[GEXFI_LINE] = len;
+                                               for(i = 0; i < len; i++, pge = pge->frwd)
+                                                       X_FRAG(pge)->lenback[GEXFI_LINE] = i;
+                                       }
+                                       if(k1 != 0 || k2 != 0) {
+                                               fprintf(stderr, "    cut Line frag at %p by (%d,%d) to len=%d\n", 
+                                                       ge, k1, k2, len);
+                                               gex_dump_contour(ge, clen);
+
+                                               goto reconsider_line; /* the line may have to be cut again */
+                                       }
+                                       pge = age[(f->aidx + k1)%clen]; /* new beginning */
+                                       good = 1; /* flag: no need do do a debugging dump */
+                                       for(i=1; i<len; i++, pge = pge->frwd)
+                                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                                       if(X_FRAG(pge)->len[d]) {
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d covered by line\n", 
+                                                                       gxf_name[d], pge, X_FRAG(pge)->len[d], len);
+                                                               good = 0;
+                                                       }
+                                                       X_FRAG(pge)->len[d] = 0;
+                                               }
+                                       pge = age[(f->aidx + k1 + 1)%clen]; /* next after new beginning */
+                                       for(i=1; i<len; i++, pge = pge->frwd)
+                                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++)
+                                                       X_FRAG(pge)->lenback[d] = 0;
+                                       if(!good)
+                                               gex_dump_contour(ge, clen);
+
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               /* Resolve conflicts between curves */
+                               for(d = GEXFI_CONVEX; d<= GEXFI_CONCAVE; d++) {
+                                       dx = (GEXFI_CONVEX + GEXFI_CONCAVE) - d; /* the other type */
+                                       ge = cge->next;
+                                       do {
+                                               GENTRY *sge;
+
+                                               f = X_FRAG(ge);
+                                               len = f->len[d];
+                                               if(len < 2) {
+                                                       ge = ge->frwd;
+                                                       continue;
+                                               }
+                                               sge = ge; /* the start of fragment */
+
+                                               i = f->len[dx];
+                                               if(i != 0) { /* two curved frags starting here */
+                                                       /* should be i!=len because otherwise they would be
+                                                        * covered by an exact line
+                                                        */
+                                                       if(i > len) {
+                                                       curve_completely_covered:
+                                                               /* remove the convex frag */
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d covered by %s\n", 
+                                                                       gxf_name[d], ge, len, gxf_name[dx]);
+                                                               f->len[d] = 0;
+                                                               for(pge = ge->frwd, j = 1; j < len; j++, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[d] = 0;
+                                                               gex_dump_contour(ge, clen);
+
+                                                               ge = ge->frwd; /* the frag is gone, nothing more to do */
+                                                               continue;
+                                                       } else {
+                                                               /* remove the concave frag */
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d covered by %s\n", 
+                                                                       gxf_name[dx], ge, i, gxf_name[d]);
+                                                               f->len[dx] = 0;
+                                                               for(pge = ge->frwd, j = 1; j < i; j++, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[dx] = 0;
+                                                               gex_dump_contour(ge, clen);
+                                                       }
+                                               }
+
+
+                                               k1 = X_FRAG(ge->frwd)->lenback[dx];
+                                               if(k1 != 0) { /* conflict at the front */
+                                                       GENTRY *gels, *gele, *gei;
+
+                                                       pge = age[(f->aidx + clen - (k1-1))%clen]; /* first gentry of concave frag */
+                                                       k2 = X_FRAG(pge)->len[dx]; /* its length */
+                                                       
+                                                       i = k2 - (k1-1); /* amount of overlap */
+                                                       if(i > len)
+                                                               i = len;
+                                                       /* i >= 2 by definition */
+                                                       if(i >= k2-1) { /* covers the other frag - maybe with 1 gentry showing */
+                                                               fprintf(stderr, "    removed %s frag at %p len=%d covered by %s\n", 
+                                                                       gxf_name[dx], pge, k2, gxf_name[d]);
+                                                               X_FRAG(pge)->len[dx] = 0;
+                                                               for(pge = pge->frwd, j = 1; j < k2; j++, pge = pge->frwd)
+                                                                       X_FRAG(pge)->lenback[dx] = 0;
+                                                               if(i >= len-1) { /* covers our frag too - maybe with 1 gentry showing */
+                                                                       /* our frag will be removed as well, prepare a line to replace it */
+                                                                       gels = ge;
+                                                                       gele = age[(f->aidx + i - 1)%clen];
+                                                                       fprintf(stderr, "    new Line frag at %p-%p len=%d\n", gels, gele, i);
+                                                                       X_FRAG(gels)->len[GEXFI_LINE] = i;
+                                                                       for(gei = gels->frwd, j = 1; j < i; gei = gei->frwd, j++)
+                                                                               X_FRAG(gei)->lenback[GEXFI_LINE] = j;
+                                                               } else {
+                                                                       gex_dump_contour(ge, clen);
+                                                                       ge = ge->frwd;
+                                                                       continue;
+                                                               }
+                                                       }
+                                                       if(i >= len-1) /* covers our frag - maybe with 1 gentry showing */
+                                                               goto curve_completely_covered;
+
+                                                       /* XXX need to do something better for the case when a curve frag
+                                                        * is actually nothing but an artifact of two other curves of
+                                                        * the opposite type touching each other, like on the back of "3"
+                                                        */
+
+                                                       /* change the overlapping part to a line */
+                                                       gels = ge;
+                                                       gele = age[(f->aidx + i - 1)%clen];
+                                                       /* give preference to local extremums */
+                                                       if(X_FRAG(gels)->flags & GEXFF_EXTR) {
+                                                               gels = gels->frwd;
+                                                               i--;
+                                                       }
+                                                       if(X_FRAG(gele)->flags & GEXFF_EXTR) {
+                                                               gele = gele->bkwd;
+                                                               i--;
+                                                       }
+                                                       if(gels->bkwd == gele) { 
+                                                               /* Oops the line became negative.  Probably should 
+                                                                * never happen but I can't think of any formal reasoning
+                                                                * leading to that, so check just in case. Restore
+                                                                * the previous state.
+                                                                */
+                                                               gels = gele; gele = gels->frwd; i = 2;
+                                                       }
+
+                                                       j = X_FRAG(gels)->lenback[dx] + 1; /* new length */
+                                                       if(j != k2) {
+                                                               X_FRAG(pge)->len[dx] = j;
+                                                               fprintf(stderr, "    cut %s frag at %p len=%d to %p len=%d end overlap with %s\n", 
+                                                                       gxf_name[dx], pge, k2, gels, j, gxf_name[d]);
+                                                               for(gei = gels->frwd; j < k2; gei = gei->frwd, j++)
+                                                                       X_FRAG(gei)->lenback[dx] = 0;
+                                                       }
+
+                                                       if(gele != ge) {
+                                                               sge = gele;
+                                                               f->len[d] = 0;
+                                                               fprintf(stderr, "    cut %s frag at %p len=%d ", gxf_name[d], ge, len);
+                                                               len--;
+                                                               for(gei = ge->frwd; gei != gele; gei = gei->frwd, len--)
+                                                                       X_FRAG(gei)->lenback[d] = 0;
+                                                               X_FRAG(gele)->len[d] = len;
+                                                               X_FRAG(gele)->lenback[d] = 0;
+                                                               fprintf(stderr, "to %p len=%d start overlap with %s\n", 
+                                                                       sge, len, gxf_name[dx]);
+                                                               for(gei = gei->frwd, j = 1; j < len; gei = gei->frwd, j++)
+                                                                       X_FRAG(gei)->lenback[d] = j;
+
+                                                       }
+                                                       if(i > 1) {
+                                                               fprintf(stderr, "    new Line frag at %p-%p len=%d\n", gels, gele, i);
+                                                               X_FRAG(gels)->len[GEXFI_LINE] = i;
+                                                               for(gei = gels->frwd, j = 1; j < i; gei = gei->frwd, j++)
+                                                                       X_FRAG(gei)->lenback[GEXFI_LINE] = j;
+                                                       }
+                                                       gex_dump_contour(ge, clen);
+                                               }
+
+                                               ge = ge->frwd;
+                                       } while(ge != cge->next);
+                               }
+
+                               /* 
+                                * Assert that there are no conflicts any more and
+                                * for each gentry find the fragment types that start
+                                * and continue here.
+                                */
+                               ge = cge->next;
+                               do {
+                                       f = X_FRAG(ge);
+                                       dx = GEXFI_NONE; /* type that starts here */
+                                       dy = GEXFI_NONE; /* type that goes through here */
+                                       for(d = GEXFI_CONVEX; d<= GEXFI_LINE; d++) {
+                                               if(f->len[d]) {
+                                                       if(dx >= 0) {
+                                                               fprintf(stderr, "**** Internal error in vectorization\n");
+                                                               fprintf(stderr, "CONFLICT in %s at %p between %s and %s\n",
+                                                                       g->name, ge, gxf_name[dx], gxf_name[d]);
+                                                               dumppaths(g, cge->next, cge->next->bkwd);
+                                                               gex_dump_contour(ge, clen);
+                                                               exit(1);
+                                                       }
+                                                       dx = d;
+                                               }
+                                               if(f->lenback[d]) {
+                                                       if(dy >= 0) {
+                                                               fprintf(stderr, "**** Internal error in vectorization\n");
+                                                               fprintf(stderr, "CONFLICT in %s at %p between %s and %s\n",
+                                                                       g->name, ge, gxf_name[dy], gxf_name[d]);
+                                                               dumppaths(g, cge->next, cge->next->bkwd);
+                                                               gex_dump_contour(ge, clen);
+                                                               exit(1);
+                                                       }
+                                                       dy = d;
+                                               }
+                                       }
+                                       f->ixstart = dx;
+                                       f->ixcont = dy;
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               /*
+                                * make sure that the contour does not start in the
+                                * middle of a fragment
+                                */
+                               ge = cge->next; /* old start of the contour */
+                               f = X_FRAG(ge);
+                               if(f->ixstart == GEXFI_NONE && f->ixcont != GEXFI_NONE) {
+                                       /* oops, it's mid-fragment, move the start */
+                                       GENTRY *xge;
+
+                                       xge = ge->bkwd->next; /* entry following the contour */
+
+                                       /* find the first gentry of this frag */
+                                       pge = age[(f->aidx + clen - f->lenback[f->ixcont])%clen]; 
+
+                                       ge->prev = ge->bkwd; 
+                                       ge->bkwd->next = ge;
+
+                                       cge->next = pge;
+                                       pge->prev = cge;
+
+                                       pge->bkwd->next = xge;
+                                       if(xge) 
+                                               xge->prev = pge->bkwd;
+
+                                       cge->ix3 = pge->bkwd->ix3; cge->iy3 = pge->bkwd->iy3;
+                               }
+
+                               /* vectorize each fragment separately */
+                               ge = cge->next;
+                               do {
+                                       /* data for curves */
+                                       GENTRY *firstge, *lastge, *gef, *gel, *gei, *gex;
+                                       GENTRY *ordhd; /* head of the order list */
+                                       GENTRY **ordlast;
+                                       int nsub; /* number of subfrags */
+                                       GEX_FRAG *ff, *lf, *xf;
+
+                                       f = X_FRAG(ge);
+                                       switch(f->ixstart) {
+                                       case GEXFI_LINE:
+                                               len = f->len[GEXFI_LINE];
+                                               pge = age[(f->aidx + len - 1)%clen]; /* last gentry */
+
+                                               if(ge->iy3 == ge->bkwd->iy3) { /* frag starts and ends horizontally */
+                                                       k1 = 1/*Y*/ ; /* across the direction of start */
+                                                       k2 = 0/*X*/ ; /* along the direction of start */
+                                               } else { /* frag starts and ends vertically */
+                                                       k1 = 0/*X*/ ; /* across the direction of start */
+                                                       k2 = 1/*Y*/ ; /* along the direction of start */
+                                               }
+
+                                               if(len % 2) {
+                                                       /* odd number of entries in the frag */
+                                                       double halfstep, halfend;
+
+                                                       f->vect[0][k1] = fscale * ge->ipoints[k1][2];
+                                                       f->vect[3][k1] = fscale * pge->ipoints[k1][2];
+
+                                                       halfstep = (pge->ipoints[k2][2] - ge->bkwd->ipoints[k2][2]) 
+                                                               * 0.5 / ((len+1)/2);
+                                                       if(f->ixcont != GEXFI_NONE) {
+                                                               halfend = (ge->ipoints[k2][2] - ge->bkwd->ipoints[k2][2]) * 0.5;
+                                                               if(fabs(halfstep) < fabs(halfend)) /* must be at least half gentry away */
+                                                                       halfstep = halfend;
+                                                       }
+                                                       if(X_FRAG(pge)->ixstart != GEXFI_NONE) {
+                                                               halfend = (pge->ipoints[k2][2] - pge->bkwd->ipoints[k2][2]) * 0.5;
+                                                               if(fabs(halfstep) < fabs(halfend)) /* must be at least half gentry away */
+                                                                       halfstep = halfend;
+                                                       }
+                                                       f->vect[0][k2] = fscale * (ge->bkwd->ipoints[k2][2] + halfstep);
+                                                       f->vect[3][k2] = fscale * (pge->ipoints[k2][2] - halfstep);
+                                               } else {
+                                                       /* even number of entries */
+                                                       double halfstep, halfend;
+
+                                                       f->vect[0][k1] = fscale * ge->ipoints[k1][2];
+                                                       halfstep = (pge->ipoints[k2][2] - ge->bkwd->ipoints[k2][2]) 
+                                                               * 0.5 / (len/2);
+                                                       if(f->ixcont != GEXFI_NONE) {
+                                                               halfend = (ge->ipoints[k2][2] - ge->bkwd->ipoints[k2][2]) * 0.5;
+                                                               if(fabs(halfstep) < fabs(halfend)) /* must be at least half gentry away */
+                                                                       halfstep = halfend;
+                                                       }
+                                                       f->vect[0][k2] = fscale * (ge->bkwd->ipoints[k2][2] + halfstep);
+
+                                                       halfstep = (pge->ipoints[k1][2] - ge->bkwd->ipoints[k1][2]) 
+                                                               * 0.5 / (len/2);
+                                                       if(X_FRAG(pge)->ixstart != GEXFI_NONE) {
+                                                               halfend = (pge->ipoints[k1][2] - pge->bkwd->ipoints[k1][2]) * 0.5;
+                                                               if(fabs(halfstep) < fabs(halfend)) /* must be at least half gentry away */
+                                                                       halfstep = halfend;
+                                                       }
+                                                       f->vect[3][k1] = fscale * (pge->ipoints[k1][2] - halfstep);
+                                                       f->vect[3][k2] = fscale * pge->ipoints[k2][2];
+                                               }
+                                               f->vectlen = len;
+                                               f->flags |= GEXFF_DRAWLINE;
+                                               break;
+                                       case GEXFI_CONVEX:
+                                       case GEXFI_CONCAVE:
+                                               len = f->len[f->ixstart];
+                                               firstge = ge;
+                                               lastge = age[(f->aidx + len - 1)%clen]; /* last gentry */
+
+                                               nsub = 0;
+                                               gex = firstge;
+                                               xf = X_FRAG(gex);
+                                               xf->prevsub = 0;
+                                               xf->sublen = 1;
+                                               xf->flags &= ~GEXFF_DONE;
+                                               for(gei = firstge->frwd; gei != lastge; gei = gei->frwd) {
+                                                       xf->sublen++;
+                                                       if(X_FRAG(gei)->flags & GEXFF_EXTR) {
+                                                                       xf->nextsub = gei;
+                                                                       for(i=0; i<2; i++)
+                                                                               xf->bbox[i] = abs(gei->ipoints[i][2] - gex->bkwd->ipoints[i][2]);
+                                                                       nsub++;
+                                                                       xf = X_FRAG(gei);
+                                                                       xf->prevsub = gex;
+                                                                       xf->sublen = 1;
+                                                                       xf->flags &= ~GEXFF_DONE;
+                                                                       gex = gei;
+                                                               }
+                                               }
+                                               xf->sublen++;
+                                               xf->nextsub = gei;
+                                               for(i=0; i<2; i++)
+                                                       xf->bbox[i] = abs(gei->ipoints[i][2] - gex->bkwd->ipoints[i][2]);
+                                               nsub++;
+                                               ff = xf; /* remember the beginning of the last subfrag */
+                                               xf = X_FRAG(gei);
+                                               xf->prevsub = gex;
+                                               if(firstge != lastge) {
+                                                       xf->nextsub = 0;
+                                                       xf->sublen = 0;
+
+                                                       /* correct the bounding box of the last and first subfrags for
+                                                        * intersections with other fragments 
+                                                        */
+                                                       if(xf->ixstart != GEXFI_NONE) {
+                                                               /* ff points to the beginning of the last subfrag */
+                                                               for(i=0; i<2; i++)
+                                                                       ff->bbox[i] -= 0.5 * abs(lastge->ipoints[i][2] - lastge->bkwd->ipoints[i][2]);
+                                                       }
+                                                       ff = X_FRAG(firstge);
+                                                       if(ff->ixcont != GEXFI_NONE) {
+                                                               for(i=0; i<2; i++)
+                                                                       ff->bbox[i] -= 0.5 * abs(firstge->ipoints[i][2] - firstge->bkwd->ipoints[i][2]);
+                                                       }
+                                               }
+
+                                               fprintf(stderr, " %s frag %p%s nsub=%d\n", gxf_name[f->ixstart],
+                                                       ge, (f->flags&GEXFF_CIRC)?" circular":"", nsub);
+
+                                               /* find the symmetry between the subfragments */
+                                               for(gef = firstge, count=0; count < nsub; gef = ff->nextsub, count++) {
+                                                       ff = X_FRAG(gef);
+                                                       gex = ff->nextsub;
+                                                       xf = X_FRAG(gex);
+                                                       gel = xf->nextsub;
+                                                       if(gel == 0) {
+                                                               ff->flags &= ~GEXFF_SYMNEXT;
+                                                               break; /* not a circular frag */
+                                                       }
+                                                       good = 1; /* assume that we have symmetry */
+                                                       /* gei goes backwards, gex goes forwards from the extremum */
+                                                       gei = gex;
+                                                       /* i is the symmetry axis, j is the other axis (X=0 Y=1) */
+                                                       ff->symaxis = i = (gex->ix3 != gex->bkwd->ix3);
+                                                       j = !i;
+                                                       for( ; gei!=gef && gex!=gel; gei=gei->bkwd, gex=gex->frwd) {
+                                                               if( gei->bkwd->ipoints[i][2] != gex->ipoints[i][2]
+                                                               || gei->bkwd->ipoints[j][2] - gei->ipoints[j][2]
+                                                                       != gex->bkwd->ipoints[j][2] - gex->ipoints[j][2] 
+                                                               ) {
+                                                                       good = 0; /* no symmetry */
+                                                                       break;
+                                                               }
+                                                       }
+                                                       if(good) {
+                                                               if( isign(gei->bkwd->ipoints[j][2] - gei->ipoints[j][2])
+                                                               != isign(gex->bkwd->ipoints[j][2] - gex->ipoints[j][2]) ) {
+                                                                       good = 0; /* oops, goes into another direction */
+                                                               }
+                                                       }
+                                                       if(good)
+                                                               ff->flags |= GEXFF_SYMNEXT;
+                                                       else
+                                                               ff->flags &= ~GEXFF_SYMNEXT;
+                                               }
+
+                                               for(gef = firstge, count=0; count < nsub; gef = ff->nextsub, count++) {
+                                                       ff = X_FRAG(gef);
+                                                       if((ff->flags & GEXFF_SYMNEXT)==0) {
+                                                               ff->symxlen = 0;
+                                                               continue;
+                                                       }
+                                                       gex = ff->prevsub;
+                                                       if(gex == 0 || (X_FRAG(gex)->flags & GEXFF_SYMNEXT)==0) {
+                                                               ff->symxlen = 0;
+                                                               continue;
+                                                       }
+                                                       ff->symxlen = X_FRAG(gex)->sublen;
+                                                       xf = X_FRAG(ff->nextsub);
+                                                       if(xf->sublen < ff->symxlen)
+                                                               ff->symxlen = xf->sublen;
+                                               }
+
+                                               /* find the symmetry inside the subfragments */
+                                               for(gef = firstge, count=0; count < nsub; gef = ff->nextsub, count++) {
+                                                       ff = X_FRAG(gef);
+
+                                                       if(ff->sublen % 2) {
+                                                               /* we must have an even number of gentries for diagonal symmetry */
+                                                               ff->symge = 0;
+                                                               continue;
+                                                       }
+
+                                                       /* gei goes forwards from the front */
+                                                       gei = gef->frwd;
+                                                       /* gex goes backwards from the back */
+                                                       gex = ff->nextsub->bkwd;
+
+                                                       /* i is the direction of gei, j is the direction of gex */
+                                                       i = (gei->iy3 != gei->bkwd->iy3);
+                                                       j = !i;
+                                                       for( ; gei->bkwd != gex; gei=gei->frwd, gex=gex->bkwd) {
+                                                               if( abs(gei->bkwd->ipoints[i][2] - gei->ipoints[i][2])
+                                                               != abs(gex->bkwd->ipoints[j][2] - gex->ipoints[j][2]) )
+                                                                       break; /* no symmetry */
+                                                               i = j;
+                                                               j = !j;
+                                                       }
+                                                       if(gei->bkwd == gex)
+                                                               ff->symge = gex;
+                                                       else
+                                                               ff->symge = 0; /* no symmetry */
+                                               }
+
+                                               /* find the order of calculation:
+                                                * prefer to start from long fragments that have the longest
+                                                * neighbours symmetric with them, with all being equal prefer
+                                                * the fragments that have smaller physical size
+                                                */
+                                               ordhd = 0;
+                                               for(gef = firstge, count=0; count < nsub; gef = ff->nextsub, count++) {
+                                                       ff = X_FRAG(gef);
+
+                                                       for(ordlast = &ordhd; *ordlast != 0; ordlast = &xf->ordersub) {
+                                                               xf = X_FRAG(*ordlast);
+                                                               if(ff->sublen > xf->sublen)
+                                                                       break;
+                                                               if(ff->sublen < xf->sublen)
+                                                                       continue;
+                                                               if(ff->symxlen > xf->symxlen)
+                                                                       break;
+                                                               if(ff->symxlen < xf->symxlen)
+                                                                       continue;
+                                                               if(ff->bbox[0] < xf->bbox[0] || ff->bbox[1] < xf->bbox[1])
+                                                                       break;
+                                                       }
+
+                                                       ff->ordersub = *ordlast;
+                                                       *ordlast = gef;
+                                               }
+
+                                               /* vectorize the subfragments */
+                                               for(gef = ordhd; gef != 0; gef = ff->ordersub) {
+
+                                                       /* debugging stuff */
+                                                       ff = X_FRAG(gef);
+                                                       fprintf(stderr, "   %p-%p bbox[%g,%g] sym=%p %s len=%d xlen=%d\n",
+                                                               gef, ff->nextsub, ff->bbox[0], ff->bbox[1], ff->symge, 
+                                                               (ff->flags & GEXFF_SYMNEXT) ? "symnext" : "",
+                                                               ff->sublen, ff->symxlen);
+
+                                                       dosubfrag(g, f->ixstart, firstge, gef, fscale);
+                                               }
+
+                                               break;
+                                       }
+                                       ge = ge->frwd;
+                               } while(ge != cge->next);
+
+                               free(age);
+
+                       }
+
+               }
+
+               /* all the fragments are found, extract the vectorization */
+               pge = g->entries;
+               g->entries = g->lastentry = 0;
+               g->flags |= GF_FLOAT;
+               loopge = 0;
+               skip = 0;
+
+               for(ge = pge; ge != 0; ge = ge->next) {
+                       GEX_FRAG *f, *pf;
+
+                       switch(ge->type) {
+                       case GE_LINE:
+                               f = X_FRAG(ge);
+                               if(skip == 0) {
+                                       if(f->flags & (GEXFF_DRAWLINE|GEXFF_DRAWCURVE)) {
+                                               /* draw a line to the start point */
+                                               fg_rlineto(g, f->vect[0][0], f->vect[0][1]);
+                                               /* draw the fragment */
+                                               if(f->flags & GEXFF_DRAWCURVE)
+                                                       fg_rrcurveto(g, 
+                                                               f->vect[1][0], f->vect[1][1],
+                                                               f->vect[2][0], f->vect[2][1],
+                                                               f->vect[3][0], f->vect[3][1]);
+                                               else
+                                                       fg_rlineto(g, f->vect[3][0], f->vect[3][1]);
+                                               skip = f->vectlen - 2;
+                                       } else {
+                                               fg_rlineto(g, fscale * ge->ix3, fscale * ge->iy3);
+                                       }
+                               } else
+                                       skip--;
+                               break;
+                       case GE_MOVE:
+                               fg_rmoveto(g, -1e6, -1e6); /* will be fixed by GE_PATH */
+                               skip = 0;
+                               /* remember the reference to update it later */
+                               loopge = g->lastentry;
+                               break;
+                       case GE_PATH:
+                               /* update the first MOVE of this contour */
+                               if(loopge) {
+                                       loopge->fx3 = g->lastentry->fx3;
+                                       loopge->fy3 = g->lastentry->fy3;
+                                       loopge = 0;
+                               }
+                               g_closepath(g);
+                               break;
+                       }
+               }
+               for(ge = pge; ge != 0; ge = cge) {
+                       cge = ge->next;
+                       free(ge->ext);
+                       free(ge);
+               }
+               dumppaths(g, NULL, NULL);
+               
+               /* end of vectorization logic */
+       } else {
+               /* convert the data to float */
+               GENTRY *ge;
+               double x, y;
+
+               for(ge = g->entries; ge != 0; ge = ge->next) {
+                       ge->flags |= GEF_FLOAT;
+                       if(ge->type != GE_MOVE && ge->type != GE_LINE) 
+                               continue;
+
+                       x = fscale * ge->ix3;
+                       y = fscale * ge->iy3;
+
+                       ge->fx3 = x;
+                       ge->fy3 = y;
+               }
+               g->flags |= GF_FLOAT;
+       }
+
+       free(hlm); free(vlm); free(amp);
+}
+
+#if 0
+/* print out the bitmap */
+printbmap(bmap, xsz, ysz, xoff, yoff)
+       char *bmap;
+       int xsz, ysz, xoff, yoff;
+{
+       int x, y;
+
+       for(y=ysz-1; y>=0; y--) {
+               putchar( (y%10==0) ? y/10+'0' : ' ' );
+               putchar( y%10+'0' );
+               for(x=0; x<xsz; x++)
+                       putchar( bmap[y*xsz+x] ? 'X' : '.' );
+               if(-yoff==y)
+                       putchar('_'); /* mark the baseline */
+               putchar('\n');
+       }
+       putchar(' '); putchar(' ');
+       for(x=0; x<xsz; x++)
+               putchar( x%10+'0' );
+       putchar('\n'); putchar(' '); putchar(' ');
+       for(x=0; x<xsz; x++)
+               putchar( (x%10==0) ? x/10+'0' : ' ' );
+       putchar('\n');
+}
+
+/* print out the limits of outlines */
+printlimits(hlm, vlm, amp, xsz, ysz)
+       char *hlm, *vlm, *amp;
+       int xsz, ysz;
+{
+       int x, y;
+       static char h_char[]={ ' ', '~', '^' };
+       static char v_char[]={ ' ', '(', ')' };
+
+       for(y=ysz-1; y>=0; y--) {
+               for(x=0; x<xsz; x++) {
+                       if(amp[y*xsz+x])
+                               putchar('!'); /* ambigouos point is always on a limit */
+                       else
+                               putchar(v_char[ vlm[y*(xsz+1)+x] & (L_ON|L_OFF) ]);
+                       putchar(h_char[ hlm[(y+1)*xsz+x] & (L_ON|L_OFF) ]);
+               }
+               putchar(v_char[ vlm[y*(xsz+1)+x] & (L_ON|L_OFF) ]);
+               putchar('\n');
+       }
+       /* last line */
+       for(x=0; x<xsz; x++) {
+               putchar(' ');
+               putchar(h_char[ hlm[x] & (L_ON|L_OFF) ]);
+       }
+       putchar(' ');
+       putchar('\n');
+}
+#endif /* 0 */