beta-0.89.2

[luatex.git] / source / texk / web2c / luatexdir / luafontloader / fontforge / fontforge / splineutil.c

/* Copyright (C) 2000-2008 by George Williams */
/*
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:

 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.

 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.

 * The name of the author may not be used to endorse or promote products
 * derived from this software without specific prior written permission.

 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR IMPLIED
 * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
 * EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
 * OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
 * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
 * OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
 * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */
#include "fontforgevw.h"
#include <math.h>
#include "psfont.h"
#include "ustring.h"
#include "utype.h"
#ifdef HAVE_IEEEFP_H
# include <ieeefp.h>            /* Solaris defines isnan in ieeefp rather than math.h */
#endif

/*#define DEBUG 1*/

typedef struct quartic {
    double a,b,c,d,e;
} Quartic;

/* In an attempt to make allocation more efficient I just keep preallocated */
/*  lists of certain common sizes. It doesn't seem to make much difference */
/*  when allocating stuff, but does when freeing. If the extra complexity */
/*  is bad then put:                                                      */
/*      #define chunkalloc(size)        gcalloc(1,size)                   */
/*      #define chunkfree(item,size)    free(item)                        */
/*  into splinefont.h after (or instead of) the definition of chunkalloc()*/

#ifndef chunkalloc
#define ALLOC_CHUNK     100             /* Number of small chunks to malloc at a time */
#if !defined(FONTFORGE_CONFIG_USE_LONGDOUBLE) && !defined(FONTFORGE_CONFIG_USE_DOUBLE)
# define CHUNK_MAX      100             /* Maximum size (in chunk units) that we are prepared to allocate */
                                        /* The size of our data structures */
#else
# define CHUNK_MAX      129
#endif
# define CHUNK_UNIT     sizeof(void *)  /*  will vary with the word size of */
                                        /*  the machine. if pointers are 64 bits*/
                                        /*  we may need twice as much space as for 32 bits */

#ifdef FLAG
#undef FLAG
#define FLAG 0xbadcafe
#endif

#ifdef CHUNKDEBUG
static int chunkdebug = 0;      /* When this is set we never free anything, insuring that each chunk is unique */
#endif

#if ALLOC_CHUNK>1
struct chunk { struct chunk *next; };
struct chunk2 { struct chunk2 *next; int flag; };
static struct chunk *chunklists[CHUNK_MAX] = { 0 };
#endif

#if defined(FLAG) && ALLOC_CHUNK>1
void chunktest(void) {
    int i;
    struct chunk2 *c;

    for ( i=2; i<CHUNK_MAX; ++i )
        for ( c=(struct chunk2 *) chunklists[i]; c!=NULL; c=c->next )
            if ( c->flag!=FLAG ) {
                fprintf( stderr, "Chunk memory list has been corrupted\n" );
                abort();
            }
}
#endif

void *chunkalloc(int size) {
# if ALLOC_CHUNK<=1
return( gcalloc(1,size));
# else
    struct chunk *item;
    int index;

    if ( size&(CHUNK_UNIT-1) )
        size = (size+CHUNK_UNIT-1)&~(CHUNK_UNIT-1);

    if ( (size&(CHUNK_UNIT-1)) || size>=(int)(CHUNK_MAX*CHUNK_UNIT) || size<=(int)sizeof(struct chunk)) {
        fprintf( stderr, "Attempt to allocate something of size %d\n", size );
return( gcalloc(1,size));
    }
#ifdef FLAG
    chunktest();
#endif
    index = (size+CHUNK_UNIT-1)/CHUNK_UNIT;
    if ( chunklists[index]==NULL ) {
        char *pt, *end;
        pt = galloc(ALLOC_CHUNK*size);
        chunklists[index] = (struct chunk *) pt;
        end = pt+(ALLOC_CHUNK-1)*size;
        while ( pt<end ) {
            ((struct chunk *) pt)->next = (struct chunk *) (pt + size);
#ifdef FLAG
            ((struct chunk2 *) pt)->flag = FLAG;
#endif
            pt += size;
        }
        ((struct chunk *) pt)->next = NULL;
#ifdef FLAG
        ((struct chunk2 *) pt)->flag = FLAG;
#endif
    }
    item = chunklists[index];
    chunklists[index] = item->next;
    memset(item,'\0',size);
return( item );
# endif
}

void chunkfree(void *item,int size) {
    int index = (size+CHUNK_UNIT-1)/CHUNK_UNIT;
#ifdef CHUNKDEBUG
    if ( chunkdebug )
return;
#endif
# if ALLOC_CHUNK<=1
    free(item);
# else
    if ( item==NULL )
return;

    if ( size&(CHUNK_UNIT-1) )
        size = (size+CHUNK_UNIT-1)&~(CHUNK_UNIT-1);

    if ( (size&(CHUNK_UNIT-1)) || size>=(int)(CHUNK_MAX*CHUNK_UNIT) || size<=(int)sizeof(struct chunk)) {
        fprintf( stderr, "Attempt to free something of size %d\n", size );
        free(item);
    } else {
#ifdef LOCAL_DEBUG
        if ( (char *) (chunklists[index]) == (char *) item ||
                ( ((char *) (chunklists[index]))<(char *) item &&
                  ((char *) (chunklists[index]))+size>(char *) item) ||
                ( ((char *) (chunklists[index]))>(char *) item &&
                  ((char *) (chunklists[index]))<((char *) item)+size))
              IError( "Memory mixup. Chunk list is wrong!!!" );
#endif
        ((struct chunk *) item)->next = chunklists[index];
#  ifdef FLAG
        if ( size>=sizeof(struct chunk2))
            ((struct chunk2 *) item)->flag = FLAG;
#  endif
        chunklists[index] = (struct chunk *) item;
    }
#  ifdef FLAG
    chunktest();
#  endif
# endif
}
#endif

char *strconcat(const char *str1,const char *str2) {
    int len1 = strlen(str1);
    char *ret = galloc(len1+strlen(str2)+1);
    strcpy(ret,str1);
    strcpy(ret+len1,str2);
return( ret );
}

char *strconcat3(const char *str1,const char *str2, const char *str3) {
    int len1 = strlen(str1), len2 = strlen(str2);
    char *ret = galloc(len1+len2+strlen(str3)+1);
    strcpy(ret,str1);
    strcpy(ret+len1,str2);
    strcpy(ret+len1+len2,str3);
return( ret );
}

void LineListFree(LineList *ll) {
    LineList *next;

    while ( ll!=NULL ) {
        next = ll->next;
        chunkfree(ll,sizeof(LineList));
        ll = next;
    }
}

void LinearApproxFree(LinearApprox *la) {
    LinearApprox *next;

    while ( la!=NULL ) {
        next = la->next;
        LineListFree(la->lines);
        chunkfree(la,sizeof(LinearApprox));
        la = next;
    }
}

void SplineFree(Spline *spline) {
    LinearApproxFree(spline->approx);
    chunkfree(spline,sizeof(Spline));
}

SplinePoint *SplinePointCreate(real x, real y) {
    SplinePoint *sp = chunkalloc(sizeof(SplinePoint));
    sp->me.x = x; sp->me.y = y;
    sp->nextcp = sp->prevcp = sp->me;
    sp->nonextcp = sp->noprevcp = true;
    sp->nextcpdef = sp->prevcpdef = false;
    sp->ttfindex = sp->nextcpindex = 0xfffe;
return( sp );
}

Spline *SplineMake3(SplinePoint *from, SplinePoint *to) {
    Spline *spline = chunkalloc(sizeof(Spline));

    spline->from = from; spline->to = to;
    from->next = to->prev = spline;
    SplineRefigure3(spline);
return( spline );
}

void SplinePointFree(SplinePoint *sp) {
    chunkfree(sp->hintmask,sizeof(HintMask));
    chunkfree(sp,sizeof(SplinePoint));
}

void SplinePointMDFree(SplineChar *sc, SplinePoint *sp) {
    MinimumDistance *md, *prev, *next;

    if ( sc!=NULL ) {
        prev = NULL;
        for ( md = sc->md; md!=NULL; md = next ) {
            next = md->next;
            if ( md->sp1==sp || md->sp2==sp ) {
                if ( prev==NULL )
                    sc->md = next;
                else
                    prev->next = next;
                chunkfree(md,sizeof(MinimumDistance));
            } else
                prev = md;
        }
    }

    chunkfree(sp->hintmask,sizeof(HintMask));
    chunkfree(sp,sizeof(SplinePoint));
}

void SplinePointsFree(SplinePointList *spl) {
    Spline *first, *spline, *next;
    int nonext;

    if ( spl==NULL )
return;
    nonext = spl->first->next==NULL;
    if ( spl->first!=NULL ) {
        first = NULL;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline = next ) {
            next = spline->to->next;
            SplinePointFree(spline->to);
            SplineFree(spline);
            if ( first==NULL ) first = spline;
        }
        if ( spl->last!=spl->first || nonext )
            SplinePointFree(spl->first);
    }
}

void SplineSetBeziersClear(SplinePointList *spl) {
    Spline *first, *spline, *next;
    int nonext;

    if ( spl==NULL )
return;
    if ( spl->first!=NULL ) {
        nonext = spl->first->next==NULL;
        first = NULL;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline = next ) {
            next = spline->to->next;
            SplinePointFree(spline->to);
            SplineFree(spline);
            if ( first==NULL ) first = spline;
        }
        if ( spl->last!=spl->first || nonext )
            SplinePointFree(spl->first);
    }
    spl->first = spl->last = NULL;
}

void SplinePointListFree(SplinePointList *spl) {
    Spline *first, *spline, *next;
    int nonext;

    if ( spl==NULL )
return;
    if ( spl->first!=NULL ) {
        nonext = spl->first->next==NULL;
        first = NULL;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline = next ) {
            next = spline->to->next;
            SplinePointFree(spline->to);
            SplineFree(spline);
            if ( first==NULL ) first = spline;
        }
        if ( spl->last!=spl->first || nonext )
            SplinePointFree(spl->first);
    }
    free(spl->contour_name);
    chunkfree(spl,sizeof(SplinePointList));
}

void SplinePointListMDFree(SplineChar *sc,SplinePointList *spl) {
    Spline *first, *spline, *next;
    int freefirst;

    if ( spl==NULL )
return;
    if ( spl->first!=NULL ) {
        first = NULL;
        freefirst = ( spl->last!=spl->first || spl->first->next==NULL );
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline = next ) {
            next = spline->to->next;
            SplinePointMDFree(sc,spline->to);
            SplineFree(spline);
            if ( first==NULL ) first = spline;
        }
        if ( freefirst )
            SplinePointMDFree(sc,spl->first);
    }
    free(spl->contour_name);
    chunkfree(spl,sizeof(SplinePointList));
}

void SplinePointListsMDFree(SplineChar *sc,SplinePointList *spl) {
    SplinePointList *next;

    while ( spl!=NULL ) {
        next = spl->next;
        SplinePointListMDFree(sc,spl);
        spl = next;
    }
}

void SplinePointListsFree(SplinePointList *head) {
    SplinePointList *spl, *next;

    for ( spl=head; spl!=NULL; spl=next ) {
        next = spl->next;
        SplinePointListFree(spl);
    }
}

void ImageListsFree(ImageList *imgs) {
    ImageList *inext;

    while ( imgs!=NULL ) {
        inext = imgs->next;
        chunkfree(imgs,sizeof(ImageList));
        imgs = inext;
    }
}

void RefCharFree(RefChar *ref) {
    int i;

    if ( ref==NULL )
return;
    for ( i=0; i<ref->layer_cnt; ++i ) {
        SplinePointListsFree(ref->layers[i].splines);
        ImageListsFree(ref->layers[i].images);
    }
    free(ref->layers);
    chunkfree(ref,sizeof(RefChar));
}

RefChar *RefCharCreate(void) {
    RefChar *ref = chunkalloc(sizeof(RefChar));
    ref->layer_cnt = 1;
    ref->layers = gcalloc(1,sizeof(struct reflayer));
    ref->round_translation_to_grid = true;
return( ref );
}

void RefCharsFree(RefChar *ref) {
    RefChar *rnext;

    while ( ref!=NULL ) {
        rnext = ref->next;
        RefCharFree(ref);
        ref = rnext;
    }
}


typedef struct spline1 {
    Spline1D sp;
    real s0, s1;
    real c0, c1;
} Spline1;

static void FigureSpline1(Spline1 *sp1,bigreal t0, bigreal t1, Spline1D *sp ) {
    bigreal s = (t1-t0);
    if ( sp->a==0 && sp->b==0 ) {
        sp1->sp.d = sp->d + t0*sp->c;
        sp1->sp.c = s*sp->c;
        sp1->sp.b = sp1->sp.a = 0;
    } else {
        sp1->sp.d = sp->d + t0*(sp->c + t0*(sp->b + t0*sp->a));
        sp1->sp.c = s*(sp->c + t0*(2*sp->b + 3*sp->a*t0));
        sp1->sp.b = s*s*(sp->b+3*sp->a*t0);
        sp1->sp.a = s*s*s*sp->a;
#if 0           /* Got invoked once on a perfectly good spline */
        sp1->s1 = sp1->sp.a+sp1->sp.b+sp1->sp.c+sp1->sp.d;
        if ( ((sp1->s1>.001 || sp1->s1<-.001) && !RealNear((double) sp1->sp.a+sp1->sp.b+sp1->sp.c+sp1->sp.d,sp1->s1)) ||
                !RealNear(sp1->sp.d,sp1->s0))
            IError( "Created spline does not work in FigureSpline1");
#endif
    }
    sp1->c0 = sp1->sp.c/3 + sp1->sp.d;
    sp1->c1 = sp1->c0 + (sp1->sp.b+sp1->sp.c)/3;
}


static void SplineFindBounds(const Spline *sp, DBounds *bounds) {
    real t, b2_fourac, v;
    real min, max;
    const Spline1D *sp1;
    int i;

    /* first try the end points */
    for ( i=0; i<2; ++i ) {
        sp1 = &sp->splines[i];
        if ( i==0 ) {
            if ( sp->to->me.x<bounds->minx ) bounds->minx = sp->to->me.x;
            if ( sp->to->me.x>bounds->maxx ) bounds->maxx = sp->to->me.x;
            min = bounds->minx; max = bounds->maxx;
        } else {
            if ( sp->to->me.y<bounds->miny ) bounds->miny = sp->to->me.y;
            if ( sp->to->me.y>bounds->maxy ) bounds->maxy = sp->to->me.y;
            min = bounds->miny; max = bounds->maxy;
        }

        /* then try the extrema of the spline (assuming they are between t=(0,1) */
        /* (I don't bother fixing up for tiny rounding errors here. they don't matter */
        /* But we could call CheckExtremaForSingleBitErrors */
        if ( sp1->a!=0 ) {
            b2_fourac = 4*sp1->b*sp1->b - 12*sp1->a*sp1->c;
            if ( b2_fourac>=0 ) {
                b2_fourac = sqrt(b2_fourac);
                t = (-2*sp1->b + b2_fourac) / (6*sp1->a);
                if ( t>0 && t<1 ) {
                    v = ((sp1->a*t+sp1->b)*t+sp1->c)*t + sp1->d;
                    if ( v<min ) min = v;
                    if ( v>max ) max = v;
                }
                t = (-2*sp1->b - b2_fourac) / (6*sp1->a);
                if ( t>0 && t<1 ) {
                    v = ((sp1->a*t+sp1->b)*t+sp1->c)*t + sp1->d;
                    if ( v<min ) min = v;
                    if ( v>max ) max = v;
                }
            }
        } else if ( sp1->b!=0 ) {
            t = -sp1->c/(2.0*sp1->b);
            if ( t>0 && t<1 ) {
                v = (sp1->b*t+sp1->c)*t + sp1->d;
                if ( v<min ) min = v;
                if ( v>max ) max = v;
            }
        }
        if ( i==0 ) {
            bounds->minx = min; bounds->maxx = max;
        } else {
            bounds->miny = min; bounds->maxy = max;
        }
    }
}

static void _SplineSetFindBounds(const SplinePointList *spl, DBounds *bounds) {
    Spline *spline, *first;
    /* Ignore contours consisting of a single point (used for hinting, anchors */
    /*  for mark to base, etc. */

    for ( ; spl!=NULL; spl = spl->next ) if ( spl->first->next!=NULL && spl->first->next->to != spl->first ) {
        first = NULL;
        if ( bounds->minx==0 && bounds->maxx==0 && bounds->miny==0 && bounds->maxy == 0 ) {
            bounds->minx = bounds->maxx = spl->first->me.x;
            bounds->miny = bounds->maxy = spl->first->me.y;
        } else {
            if ( spl->first->me.x<bounds->minx ) bounds->minx = spl->first->me.x;
            if ( spl->first->me.x>bounds->maxx ) bounds->maxx = spl->first->me.x;
            if ( spl->first->me.y<bounds->miny ) bounds->miny = spl->first->me.y;
            if ( spl->first->me.y>bounds->maxy ) bounds->maxy = spl->first->me.y;
        }
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline=spline->to->next ) {
            SplineFindBounds(spline,bounds);
            if ( first==NULL ) first = spline;
        }
    }
}


void SplineSetFindBounds(const SplinePointList *spl, DBounds *bounds) {
    memset(bounds,'\0',sizeof(*bounds));
    _SplineSetFindBounds(spl,bounds);
}

static void _SplineCharLayerFindBounds(SplineChar *sc,int layer, DBounds *bounds) {
    RefChar *rf;

    for ( rf=sc->layers[layer].refs; rf!=NULL; rf = rf->next ) {
        if ( bounds->minx==0 && bounds->maxx==0 && bounds->miny==0 && bounds->maxy == 0 )
            *bounds = rf->bb;
        else if ( rf->bb.minx!=0 || rf->bb.maxx != 0 || rf->bb.maxy != 0 || rf->bb.miny!=0 ) {
            if ( rf->bb.minx < bounds->minx ) bounds->minx = rf->bb.minx;
            if ( rf->bb.miny < bounds->miny ) bounds->miny = rf->bb.miny;
            if ( rf->bb.maxx > bounds->maxx ) bounds->maxx = rf->bb.maxx;
            if ( rf->bb.maxy > bounds->maxy ) bounds->maxy = rf->bb.maxy;
        }
    }
    _SplineSetFindBounds(sc->layers[layer].splines,bounds);

    if ( sc->parent!=NULL && sc->parent->strokedfont &&
            (bounds->minx!=bounds->maxx || bounds->miny!=bounds->maxy)) {
        real sw = sc->parent->strokewidth;
        bounds->minx -= sw; bounds->miny -= sw;
        bounds->maxx += sw; bounds->maxy += sw;
    }
}

void SplineCharLayerFindBounds(SplineChar *sc,int layer,DBounds *bounds) {

    if ( sc->parent!=NULL && sc->parent->multilayer ) {
        SplineCharFindBounds(sc,bounds);
return;
    }

    /* a char with no splines (ie. a space) must have an lbearing of 0 */
    bounds->minx = bounds->maxx = 0;
    bounds->miny = bounds->maxy = 0;

    _SplineCharLayerFindBounds(sc,layer,bounds);
}

void SplineCharFindBounds(SplineChar *sc,DBounds *bounds) {
    int i;
    int first,last;

    /* a char with no splines (ie. a space) must have an lbearing of 0 */
    bounds->minx = bounds->maxx = 0;
    bounds->miny = bounds->maxy = 0;

    first = last = ly_fore;
    if ( sc->parent!=NULL && sc->parent->multilayer )
        last = sc->layer_cnt-1;
    for ( i=first; i<=last; ++i )
        _SplineCharLayerFindBounds(sc,i,bounds);
}

void SplineFontLayerFindBounds(SplineFont *sf,int layer,DBounds *bounds) {
    int i, k, first, last;
    (void)layer;
    if ( sf->multilayer ) {
        SplineFontFindBounds(sf,bounds);
return;
    }

    bounds->minx = bounds->maxx = 0;
    bounds->miny = bounds->maxy = 0;

    for ( i = 0; i<sf->glyphcnt; ++i ) {
        SplineChar *sc = sf->glyphs[i];
        if ( sc!=NULL ) {
            first = last = ly_fore;
            if ( sc->parent != NULL && sc->parent->multilayer )
                last = sc->layer_cnt-1;
            for ( k=first; k<=last; ++k )
                _SplineCharLayerFindBounds(sc,k,bounds);
        }
    }
}

void SplineFontFindBounds(SplineFont *sf,DBounds *bounds) {
    int i, k, first, last;

    bounds->minx = bounds->maxx = 0;
    bounds->miny = bounds->maxy = 0;

    for ( i = 0; i<sf->glyphcnt; ++i ) {
        SplineChar *sc = sf->glyphs[i];
        if ( sc!=NULL ) {
            first = last = ly_fore;
            if ( sf->multilayer )
                last = sc->layer_cnt-1;
            for ( k=first; k<=last; ++k )
                _SplineCharLayerFindBounds(sc,k,bounds);
        }
    }
}

void CIDLayerFindBounds(SplineFont *cidmaster,int layer,DBounds *bounds) {
    SplineFont *sf;
    int i;
    DBounds b;
    real factor;

    if ( cidmaster->cidmaster )
        cidmaster = cidmaster->cidmaster;
    if ( cidmaster->subfonts==NULL ) {
        SplineFontLayerFindBounds(cidmaster,layer,bounds);
return;
    }

    sf = cidmaster->subfonts[0];
    SplineFontLayerFindBounds(sf,layer,bounds);
    factor = 1000.0/(sf->ascent+sf->descent);
    bounds->maxx *= factor; bounds->minx *= factor; bounds->miny *= factor; bounds->maxy *= factor;
    for ( i=1; i<cidmaster->subfontcnt; ++i ) {
        sf = cidmaster->subfonts[i];
        SplineFontLayerFindBounds(sf,layer,&b);
        factor = 1000.0/(sf->ascent+sf->descent);
        b.maxx *= factor; b.minx *= factor; b.miny *= factor; b.maxy *= factor;
        if ( b.maxx>bounds->maxx ) bounds->maxx = b.maxx;
        if ( b.maxy>bounds->maxy ) bounds->maxy = b.maxy;
        if ( b.miny<bounds->miny ) bounds->miny = b.miny;
        if ( b.minx<bounds->minx ) bounds->minx = b.minx;
    }
}

static void _SplineSetFindTop(SplineSet *ss,BasePoint *top) {
    SplinePoint *sp;

    for ( ; ss!=NULL; ss=ss->next ) {
        for ( sp=ss->first; ; ) {
            if ( sp->me.y > top->y ) *top = sp->me;
            if ( sp->next==NULL )
        break;
            sp = sp->next->to;
            if ( sp==ss->first )
        break;
        }
    }
}

static void SplineSetFindTop(SplineSet *ss,BasePoint *top) {

    top->y = -1e10;
    _SplineSetFindTop(ss,top);
    if ( top->y < -65536 ) top->y = top->x = 0;
}

void SplineSetQuickBounds(SplineSet *ss,DBounds *b) {
    SplinePoint *sp;

    b->minx = b->miny = 1e10;
    b->maxx = b->maxy = -1e10;
    for ( ; ss!=NULL; ss=ss->next ) {
        for ( sp=ss->first; ; ) {
            if ( sp->me.y < b->miny ) b->miny = sp->me.y;
            if ( sp->me.x < b->minx ) b->minx = sp->me.x;
            if ( sp->me.y > b->maxy ) b->maxy = sp->me.y;
            if ( sp->me.x > b->maxx ) b->maxx = sp->me.x;
            if ( sp->next==NULL )
        break;
            sp = sp->next->to;
            if ( sp==ss->first )
        break;
        }
    }
    if ( b->minx>65536 ) b->minx = 0;
    if ( b->miny>65536 ) b->miny = 0;
    if ( b->maxx<-65536 ) b->maxx = 0;
    if ( b->maxy<-65536 ) b->maxy = 0;
}

void SplineCharQuickBounds(SplineChar *sc, DBounds *b) {
    RefChar *ref;
    int i,first, last;
    DBounds temp;

    memset(b,0,sizeof(*b));
    first = last = ly_fore;
    if ( sc->parent!=NULL && sc->parent->multilayer )
        last = sc->layer_cnt-1;
    for ( i=first; i<=last; ++i ) {
        SplineSetQuickBounds(sc->layers[i].splines,&temp);
        if ( temp.minx!=0 || temp.maxx != 0 || temp.maxy != 0 || temp.miny!=0 ) {
            if ( temp.minx < b->minx ) b->minx = temp.minx;
            if ( temp.miny < b->miny ) b->miny = temp.miny;
            if ( temp.maxx > b->maxx ) b->maxx = temp.maxx;
            if ( temp.maxy > b->maxy ) b->maxy = temp.maxy;
        }
        for ( ref = sc->layers[i].refs; ref!=NULL; ref = ref->next ) {
            /*SplineSetQuickBounds(ref->layers[0].splines,&temp);*/
            if ( b->minx==0 && b->maxx==0 && b->miny==0 && b->maxy == 0 )
                *b = ref->bb;
            else if ( ref->bb.minx!=0 || ref->bb.maxx != 0 || ref->bb.maxy != 0 || ref->bb.miny!=0 ) {
                if ( ref->bb.minx < b->minx ) b->minx = ref->bb.minx;
                if ( ref->bb.miny < b->miny ) b->miny = ref->bb.miny;
                if ( ref->bb.maxx > b->maxx ) b->maxx = ref->bb.maxx;
                if ( ref->bb.maxy > b->maxy ) b->maxy = ref->bb.maxy;
            }
        }
    }
    if ( sc->parent!=NULL && sc->parent->strokedfont &&
            (b->minx!=b->maxx || b->miny!=b->maxy)) {
        real sw = sc->parent->strokewidth;
        b->minx -= sw; b->miny -= sw;
        b->maxx += sw; b->maxy += sw;
    }
}

void SplineSetQuickConservativeBounds(SplineSet *ss,DBounds *b) {
    SplinePoint *sp;

    b->minx = b->miny = 1e10;
    b->maxx = b->maxy = -1e10;
    for ( ; ss!=NULL; ss=ss->next ) {
        for ( sp=ss->first; ; ) {
            if ( sp->me.y < b->miny ) b->miny = sp->me.y;
            if ( sp->me.x < b->minx ) b->minx = sp->me.x;
            if ( sp->me.y > b->maxy ) b->maxy = sp->me.y;
            if ( sp->me.x > b->maxx ) b->maxx = sp->me.x;
            if ( sp->nextcp.y < b->miny ) b->miny = sp->nextcp.y;
            if ( sp->nextcp.x < b->minx ) b->minx = sp->nextcp.x;
            if ( sp->nextcp.y > b->maxy ) b->maxy = sp->nextcp.y;
            if ( sp->nextcp.x > b->maxx ) b->maxx = sp->nextcp.x;
            if ( sp->prevcp.y < b->miny ) b->miny = sp->prevcp.y;
            if ( sp->prevcp.x < b->minx ) b->minx = sp->prevcp.x;
            if ( sp->prevcp.y > b->maxy ) b->maxy = sp->prevcp.y;
            if ( sp->prevcp.x > b->maxx ) b->maxx = sp->prevcp.x;
            if ( sp->next==NULL )
        break;
            sp = sp->next->to;
            if ( sp==ss->first )
        break;
        }
    }
    if ( b->minx>65536 ) b->minx = 0;
    if ( b->miny>65536 ) b->miny = 0;
    if ( b->maxx<-65536 ) b->maxx = 0;
    if ( b->maxy<-65536 ) b->maxy = 0;
}

void SplineCharQuickConservativeBounds(SplineChar *sc, DBounds *b) {
    RefChar *ref;
    int i, first,last;
    DBounds temp;

    memset(b,0,sizeof(*b));
    first = last = ly_fore;
    if ( sc->parent!=NULL && sc->parent->multilayer )
        last = sc->layer_cnt-1;
    for ( i=first; i<=last; ++i ) {
        SplineSetQuickConservativeBounds(sc->layers[i].splines,&temp);
        if ( temp.minx!=0 || temp.maxx != 0 || temp.maxy != 0 || temp.miny!=0 ) {
            if ( temp.minx < b->minx ) b->minx = temp.minx;
            if ( temp.miny < b->miny ) b->miny = temp.miny;
            if ( temp.maxx > b->maxx ) b->maxx = temp.maxx;
            if ( temp.maxy > b->maxy ) b->maxy = temp.maxy;
        }
        for ( ref = sc->layers[i].refs; ref!=NULL; ref = ref->next ) {
            /*SplineSetQuickConservativeBounds(ref->layers[0].splines,&temp);*/
            if ( b->minx==0 && b->maxx==0 && b->miny==0 && b->maxy == 0 )
                *b = ref->bb;
            else if ( ref->bb.minx!=0 || ref->bb.maxx != 0 || ref->bb.maxy != 0 || ref->bb.miny!=0 ) {
                if ( ref->bb.minx < b->minx ) b->minx = ref->bb.minx;
                if ( ref->bb.miny < b->miny ) b->miny = ref->bb.miny;
                if ( ref->bb.maxx > b->maxx ) b->maxx = ref->bb.maxx;
                if ( ref->bb.maxy > b->maxy ) b->maxy = ref->bb.maxy;
            }
        }
    }
    if ( sc->parent->strokedfont && (b->minx!=b->maxx || b->miny!=b->maxy)) {
        real sw = sc->parent->strokewidth;
        b->minx -= sw; b->miny -= sw;
        b->maxx += sw; b->maxy += sw;
    }
}

void SplineFontQuickConservativeBounds(SplineFont *sf,DBounds *b) {
    DBounds bb;
    int i;

    b->minx = b->miny = 1e10;
    b->maxx = b->maxy = -1e10;
    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL ) {
        SplineCharQuickConservativeBounds(sf->glyphs[i],&bb);
        if ( bb.minx < b->minx ) b->minx = bb.minx;
        if ( bb.miny < b->miny ) b->miny = bb.miny;
        if ( bb.maxx > b->maxx ) b->maxx = bb.maxx;
        if ( bb.maxy > b->maxy ) b->maxy = bb.maxy;
    }
    if ( b->minx>65536 ) b->minx = 0;
    if ( b->miny>65536 ) b->miny = 0;
    if ( b->maxx<-65536 ) b->maxx = 0;
    if ( b->maxy<-65536 ) b->maxy = 0;
}

void SplinePointCatagorize(SplinePoint *sp) {
    int oldpointtype = sp->pointtype;

    sp->pointtype = pt_corner;
    if ( sp->next==NULL && sp->prev==NULL )
        ;
    else if ( (sp->next!=NULL && sp->next->to->me.x==sp->me.x && sp->next->to->me.y==sp->me.y) ||
            (sp->prev!=NULL && sp->prev->from->me.x==sp->me.x && sp->prev->from->me.y==sp->me.y ))
        ;
    else if ( sp->next==NULL ) {
        sp->pointtype = sp->noprevcp ? pt_corner : pt_curve;
    } else if ( sp->prev==NULL ) {
        sp->pointtype = sp->nonextcp ? pt_corner : pt_curve;
    } else if ( sp->nonextcp && sp->noprevcp ) {
        ;
    } else {
        BasePoint ndir, ncdir, ncunit, pdir, pcdir, pcunit;
        double nlen, nclen, plen, pclen;
        double dot;

        ncdir.x = sp->nextcp.x - sp->me.x; ncdir.y = sp->nextcp.y - sp->me.y;
        pcdir.x = sp->prevcp.x - sp->me.x; pcdir.y = sp->prevcp.y - sp->me.y;
        ndir.x = ndir.y = pdir.x = pdir.y = 0;
        if ( sp->next!=NULL ) {
            ndir.x = sp->next->to->me.x - sp->me.x; ndir.y = sp->next->to->me.y - sp->me.y;
        }
        if ( sp->prev!=NULL ) {
            pdir.x = sp->prev->from->me.x - sp->me.x; pdir.y = sp->prev->from->me.y - sp->me.y;
        }
        nclen = sqrt(ncdir.x*ncdir.x + ncdir.y*ncdir.y);
        pclen = sqrt(pcdir.x*pcdir.x + pcdir.y*pcdir.y);
        nlen = sqrt(ndir.x*ndir.x + ndir.y*ndir.y);
        plen = sqrt(pdir.x*pdir.x + pdir.y*pdir.y);
        ncunit = ncdir; pcunit = pcdir;
        if ( nclen!=0 ) { ncunit.x /= nclen; ncunit.y /= nclen; }
        if ( pclen!=0 ) { pcunit.x /= pclen; pcunit.y /= pclen; }
        if ( nlen!=0 ) { ndir.x /= nlen; ndir.y /= nlen; }
        if ( plen!=0 ) { pdir.x /= plen; pdir.y /= plen; }

        /* find out which side has the shorter control vector. Dot that vector */
        /*  with the normal of the unit vector on the other side. If the */
        /*  result is less than 1 em-unit then we've got colinear control points */
        /*  (within the resolution of the integer grid) */
        if ( nclen!=0 && pclen!=0 &&
                ((nclen>=pclen && (dot = pcdir.x*ncunit.y - pcdir.y*ncunit.x)<1.0 && dot>-1.0 ) ||
                 (pclen>nclen && (dot = ncdir.x*pcunit.y - ncdir.y*pcunit.x)<1.0 && dot>-1.0 )))
            sp->pointtype = pt_curve;
        /* Dot product of control point with unit vector normal to line in */
        /*  opposite direction should be less than an em-unit for a tangent */
        else if (( nclen==0 && pclen!=0 && (dot = pcdir.x*ndir.y-pcdir.y*ndir.x)<1.0 && dot>-1.0 ) ||
                ( pclen==0 && nclen!=0 && (dot = ncdir.x*pdir.y-ncdir.y*pdir.x)<1.0 && dot>-1.0 ))
            sp->pointtype = pt_tangent;

        /* If a point started out hv, and could still be hv, them make it so */
        /*  but don't make hv points de novo, Alexey doesn't like change */
        /*  (this only works because hv isn't a default setting, so if it's */
        /*   there it was done intentionally) */
        if ( sp->pointtype == pt_curve && oldpointtype == pt_hvcurve &&
                ((sp->nextcp.x==sp->me.x && sp->prevcp.x==sp->me.x && sp->nextcp.y!=sp->me.y) ||
                 (sp->nextcp.y==sp->me.y && sp->prevcp.y==sp->me.y && sp->nextcp.x!=sp->me.x)))
            sp->pointtype = pt_hvcurve;
    }
}

int SplinePointIsACorner(SplinePoint *sp) {
    enum pointtype old = sp->pointtype, new;

    SplinePointCatagorize(sp);
    new = sp->pointtype;
    sp->pointtype = old;
return( new==pt_corner );
}

void SPLCatagorizePoints(SplinePointList *spl) {
    Spline *spline, *first, *last=NULL;

    for ( ; spl!=NULL; spl = spl->next ) {
        first = NULL;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline=spline->to->next ) {
            SplinePointCatagorize(spline->from);
            last = spline;
            if ( first==NULL ) first = spline;
        }
        if ( spline==NULL && last!=NULL )
            SplinePointCatagorize(last->to);
    }
}

void SCCatagorizePoints(SplineChar *sc) {
    SPLCatagorizePoints(sc->layers[ly_fore].splines);
}

static int CharsNotInEncoding(FontDict *fd) {
    int i, cnt, j;

    for ( i=cnt=0; i<fd->chars->cnt; ++i ) {
        if ( fd->chars->keys[i]!=NULL ) {
            for ( j=0; j<256; ++j )
                if ( fd->encoding[j]!=NULL &&
                        strcmp(fd->encoding[j],fd->chars->keys[i])==0 )
            break;
            if ( j==256 )
                ++cnt;
        }
    }
    /* And for type 3 fonts... */
    if ( fd->charprocs!=NULL ) for ( i=0; i<fd->charprocs->cnt; ++i ) {
        if ( fd->charprocs->keys[i]!=NULL ) {
            for ( j=0; j<256; ++j )
                if ( fd->encoding[j]!=NULL &&
                        strcmp(fd->encoding[j],fd->charprocs->keys[i])==0 )
            break;
            if ( j==256 )
                ++cnt;
        }
    }
return( cnt );
}

static int LookupCharString(char *encname,struct pschars *chars) {
    int k;

    if ( encname==NULL ) encname = ".notdef";   /* In case of an incomplete encoding array */

    for ( k=0; k<chars->cnt; ++k ) {
        if ( chars->keys[k]!=NULL )
            if ( strcmp(encname,chars->keys[k])==0 )
return( k );
    }
return( -1 );
}

SplinePointList *SplinePointListCopy1(const SplinePointList *spl) {
    SplinePointList *cur;
    const SplinePoint *pt; SplinePoint *cpt;
    Spline *spline;

    cur = chunkalloc(sizeof(SplinePointList));
    cur->is_clip_path = spl->is_clip_path;

    for ( pt=spl->first; ;  ) {
        cpt = chunkalloc(sizeof(SplinePoint));
        *cpt = *pt;
        if ( pt->hintmask!=NULL ) {
            cpt->hintmask = chunkalloc(sizeof(HintMask));
            memcpy(cpt->hintmask,pt->hintmask,sizeof(HintMask));
        }
        cpt->next = cpt->prev = NULL;
        if ( cur->first==NULL )
            cur->first = cur->last = cpt;
        else {
            spline = chunkalloc(sizeof(Spline));
            *spline = *pt->prev;
            spline->from = cur->last;
            cur->last->next = spline;
            cpt->prev = spline;
            spline->to = cpt;
            spline->approx = NULL;
            cur->last = cpt;
        }
        if ( pt->next==NULL )
    break;
        pt = pt->next->to;
        if ( pt==spl->first )
    break;
    }
    if ( spl->first->prev!=NULL ) {
        cpt = cur->first;
        spline = chunkalloc(sizeof(Spline));
        *spline = *pt->prev;
        spline->from = cur->last;
        cur->last->next = spline;
        cpt->prev = spline;
        spline->to = cpt;
        spline->approx = NULL;
        cur->last = cpt;
    }
return( cur );
}

/* If this routine is called we are guarenteed that:
    at least one point on the splineset is selected
    not all points on the splineset are selected
*/
static SplinePointList *SplinePointListCopySelected1(SplinePointList *spl) {
    SplinePointList *head=NULL, *last=NULL, *cur;
    SplinePoint *cpt, *first, *start;
    Spline *spline;

    start = spl->first;
    if ( spl->first==spl->last ) {
        /* If it's a closed contour and the start point is selected then we */
        /*  don't know where that selection began (and we have to keep it with */
        /*  the things that precede it when we make the new splinesets), so */
        /*  loop until we find something unselected */
        while ( start->selected )
            start = start->next->to;
    }
    first = NULL;
    while ( start != NULL && start!=first ) {
        while ( start!=NULL && start!=first && !start->selected ) {
            if ( first==NULL ) first = start;
            if ( start->next==NULL ) {
                start = NULL;
        break;
            }
            start = start->next->to;
        }
        if ( start==NULL || start==first )
    break;
        cur = chunkalloc(sizeof(SplinePointList));
        if ( head==NULL )
            head = cur;
        else
            last->next = cur;
        last = cur;

        while ( start!=NULL && start->selected && start!=first ) {
            cpt = chunkalloc(sizeof(SplinePoint));
            *cpt = *start;
            cpt->hintmask = NULL;
            cpt->next = cpt->prev = NULL;
            if ( cur->first==NULL )
                cur->first = cur->last = cpt;
            else {
                spline = chunkalloc(sizeof(Spline));
                *spline = *start->prev;
                spline->from = cur->last;
                cur->last->next = spline;
                cpt->prev = spline;
                spline->to = cpt;
                spline->approx = NULL;
                cur->last = cpt;
            }
            if ( first==NULL ) first = start;
            if ( start->next==NULL ) {
                start = NULL;
        break;
            }
            start = start->next->to;
        }
    }
return( head );
}


SplinePointList *SplinePointListCopy(const SplinePointList *base) {
    SplinePointList *head=NULL, *last=NULL, *cur;

    for ( ; base!=NULL; base = base->next ) {
        cur = SplinePointListCopy1(base);
        if ( head==NULL )
            head = cur;
        else
            last->next = cur;
        last = cur;
    }
return( head );
}

SplinePointList *SplinePointListCopySelected(SplinePointList *base) {
    SplinePointList *head=NULL, *last=NULL, *cur=NULL;
    SplinePoint *pt, *first;
    int anysel, allsel;

    for ( ; base!=NULL; base = base->next ) {
        anysel = false; allsel = true;
        first = NULL;
        for ( pt=base->first; pt!=NULL && pt!=first; pt = pt->next->to ) {
            if ( pt->selected ) anysel = true;
            else allsel = false;
            if ( first==NULL ) first = pt;
            if ( pt->next==NULL )
        break;
        }
        if ( allsel )
            cur = SplinePointListCopy1(base);
        else if ( anysel )
            cur = SplinePointListCopySelected1(base);
        if ( anysel ) {
            if ( head==NULL )
                head = cur;
            else
                last->next = cur;
            for ( last = cur; last->next ; last = last->next );
        }
    }
return( head );
}



static SplinePointList *SplinePointListSplit(SplineChar *sc,SplinePointList *spl) {
    SplinePointList *head=NULL, *last=NULL, *cur;
    SplinePoint *first, *start, *next;

    start = spl->first;
    if ( spl->first==spl->last ) {
        /* If it's a closed contour and the start point is selected then we */
        /*  don't know where that selection began (and we have to keep it with */
        /*  the things that precede it when we make the new splinesets), so */
        /*  loop until we find something unselected */
        while ( !start->selected )
            start = start->next->to;
    }
    first = NULL;
    while ( start != NULL && start!=first ) {
        while ( start!=NULL && start!=first && start->selected ) {
            if ( first==NULL ) first = start;
            if ( start->prev!=NULL ) {
                start->prev->from->next = NULL;
                SplineFree(start->prev);
            }
            if ( start->next!=NULL ) {
                next = start->next->to;
                next->prev = NULL;
                SplineFree(start->next);
            } else
                next = NULL;
            SplinePointMDFree(sc,start);
            start = next;
        }
        if ( start==NULL || start==first )
    break;
        if ( head==NULL ) {
            head = cur = spl;
            spl->first = spl->last = NULL;
        } else {
            cur = chunkalloc(sizeof(SplinePointList));
            last->next = cur;
        }
        last = cur;

        while ( start!=NULL && !start->selected && start!=first ) {
            if ( cur->first==NULL )
                cur->first = start;
            cur->last = start;
            if ( start->next!=NULL ) {
                next = start->next->to;
                if ( next->selected ) {
                    SplineFree(start->next);
                    start->next = NULL;
                    next->prev = NULL;
                }
            } else
                next = NULL;
            if ( first==NULL ) first = start;
            start = next;
        }
    }
return( last );
}

SplinePointList *SplinePointListRemoveSelected(SplineChar *sc,SplinePointList *base) {
    SplinePointList *head=NULL, *last=NULL, *next;
    SplinePoint *pt, *first;
    int anysel, allsel;

    for ( ; base!=NULL; base = next ) {
        next = base->next;
        anysel = false; allsel = true;
            first = NULL;
            for ( pt=base->first; pt!=NULL && pt!=first; pt = pt->next->to ) {
                if ( pt->selected ) anysel = true;
                else allsel = false;
                if ( first==NULL ) first = pt;
                if ( pt->next==NULL )
            break;
            }
        if ( allsel ) {
            SplinePointListMDFree(sc,base);
    continue;
        }
        if ( !anysel ) {
            if ( head==NULL )
                head = base;
            else
                last->next = base;
            last = base;
            if ( anysel )
                last = SplinePointListSplit(sc,base);
        }
    }
    if ( last!=NULL ) last->next = NULL;
return( head );
}

ImageList *ImageListCopy(ImageList *cimg) {
    ImageList *head=NULL, *last=NULL, *new;

    for ( ; cimg!=NULL; cimg=cimg->next ) {
        new = chunkalloc(sizeof(ImageList));
        *new = *cimg;
        new->next = NULL;
        if ( last==NULL )
            head = last = new;
        else {
            last->next = new;
            last = new;
        }
    }
return( head );
}


void ApTransform(AnchorPoint *ap, real transform[6]) {
    BasePoint p;
    p.x = transform[0]*ap->me.x + transform[2]*ap->me.y + transform[4];
    p.y = transform[1]*ap->me.x + transform[3]*ap->me.y + transform[5];
    ap->me.x = rint(1024*p.x)/1024;
    ap->me.y = rint(1024*p.y)/1024;
}

static void TransformPoint(SplinePoint *sp, real transform[6]) {
    BasePoint p;
    p.x = transform[0]*sp->me.x + transform[2]*sp->me.y + transform[4];
    p.y = transform[1]*sp->me.x + transform[3]*sp->me.y + transform[5];
    p.x = rint(1024*p.x)/1024;
    p.y = rint(1024*p.y)/1024;
    sp->me = p;
    if ( !sp->nonextcp ) {
        p.x = transform[0]*sp->nextcp.x + transform[2]*sp->nextcp.y + transform[4];
        p.y = transform[1]*sp->nextcp.x + transform[3]*sp->nextcp.y + transform[5];
        p.x = rint(1024*p.x)/1024;
        p.y = rint(1024*p.y)/1024;
        sp->nextcp = p;
    } else
        sp->nextcp = sp->me;
    if ( !sp->noprevcp ) {
        p.x = transform[0]*sp->prevcp.x + transform[2]*sp->prevcp.y + transform[4];
        p.y = transform[1]*sp->prevcp.x + transform[3]*sp->prevcp.y + transform[5];
        p.x = rint(1024*p.x)/1024;
        p.y = rint(1024*p.y)/1024;
        sp->prevcp = p;
    } else
        sp->prevcp = sp->me;
    if ( sp->pointtype == pt_hvcurve ) {
        if ( 
                ((sp->nextcp.x==sp->me.x && sp->prevcp.x==sp->me.x && sp->nextcp.y!=sp->me.y) ||
                 (sp->nextcp.y==sp->me.y && sp->prevcp.y==sp->me.y && sp->nextcp.x!=sp->me.x)))
            /* Do Nothing */;
        else
            sp->pointtype = pt_curve;
    }
}

SplinePointList *SplinePointListTransform(SplinePointList *base, real transform[6], int allpoints ) {
    Spline *spline, *first;
    SplinePointList *spl;
    SplinePoint *spt, *pfirst;
    int allsel, anysel, alldone=true;

    for ( spl = base; spl!=NULL; spl = spl->next ) {
        pfirst = NULL;
        allsel = true; anysel=false;
        for ( spt = spl->first ; spt!=pfirst; spt = spt->next->to ) {
            if ( pfirst==NULL ) pfirst = spt;
            if ( allpoints || spt->selected ) {
                TransformPoint(spt,transform);
                if ( !allpoints ) {
                    if ( spt->next!=NULL && spt->next->order2 && !spt->next->to->selected && spt->next->to->ttfindex==0xffff ) {
                        SplinePoint *to = spt->next->to;
                        to->prevcp = spt->nextcp;
                        to->me.x = (to->prevcp.x+to->nextcp.x)/2;
                        to->me.y = (to->prevcp.y+to->nextcp.y)/2;
                    }
                    if ( spt->prev!=NULL && spt->prev->order2 && !spt->prev->from->selected && spt->prev->from->ttfindex==0xffff ) {
                        SplinePoint *from = spt->prev->from;
                        from->nextcp = spt->prevcp;
                        from->me.x = (from->prevcp.x+from->nextcp.x)/2;
                        from->me.y = (from->prevcp.y+from->nextcp.y)/2;
                    }
                }
                anysel = true;
            } else
                allsel = alldone = false;
            if ( spt->next==NULL )
        break;
        }
        if ( !anysel )          /* This splineset had no selected points it's unchanged */
    continue;

        /* if we changed all the points then the control points are right */
        /*  otherwise those near the edges may be wonky, fix 'em up */
        /* Figuring out where the edges of the selection are is difficult */
        /*  so let's just tweak all points, it shouldn't matter */
        /* It does matter. Let's tweak all default points */
        if ( !allpoints && !allsel && spl->first->next!=NULL && !spl->first->next->order2 ) {
            pfirst = NULL;
            for ( spt = spl->first ; spt!=pfirst; spt = spt->next->to ) {
                if ( pfirst==NULL ) pfirst = spt;
                if ( spt->selected && spt->prev!=NULL && !spt->prev->from->selected &&
                        spt->prev->from->pointtype == pt_tangent )
                    SplineCharTangentPrevCP(spt->prev->from);
                if ( spt->selected && spt->next!=NULL && !spt->next->to->selected &&
                        spt->next->to->pointtype == pt_tangent )
                    SplineCharTangentNextCP(spt->next->to);
                if ( spt->prev!=NULL && spt->prevcpdef )
                    SplineCharDefaultPrevCP(spt);
                if ( spt->next==NULL )
            break;
                if ( spt->nextcpdef )
                    SplineCharDefaultNextCP(spt);
            }
        }
        first = NULL;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline=spline->to->next ) {
            if ( !alldone ) SplineRefigureFixup(spline); else SplineRefigure(spline);
            if ( first==NULL ) first = spline;
        }
    }
return( base );
}


SplinePointList *SplinePointListShift(SplinePointList *base,real xoff,int allpoints ) {
    real transform[6];
    if ( xoff==0 )
return( base );
    transform[0] = transform[3] = 1;
    transform[1] = transform[2] = transform[5] = 0;
    transform[4] = xoff;
return( SplinePointListTransform(base,transform,allpoints));
}

HintMask *HintMaskFromTransformedRef(RefChar *ref,BasePoint *trans,
        SplineChar *basesc,HintMask *hm) {
    StemInfo *st, *st2;
    int hst_cnt, bcnt;
    real start, width;
    int i;

    if ( ref->transform[1]!=0 || ref->transform[2]!=0 )
return(NULL);

    memset(hm,0,sizeof(HintMask));
    for ( st = ref->sc->hstem; st!=NULL; st=st->next ) {
        start = st->start*ref->transform[3] + ref->transform[5] + trans->y;
        width = st->width*ref->transform[3];
        for ( st2=basesc->hstem,bcnt=0; st2!=NULL; st2=st2->next, bcnt++ )
            if ( st2->start == start && st2->width == width )
        break;
        if ( st2!=NULL )
            (*hm)[bcnt>>3] |= (0x80>>(bcnt&7));
    }
    for ( st2=basesc->hstem,hst_cnt=0; st2!=NULL; st2=st2->next, hst_cnt++ );

    for ( st = ref->sc->vstem; st!=NULL; st=st->next ) {
        start = st->start*ref->transform[0] + ref->transform[4] + trans->x;
        width = st->width*ref->transform[0];
        for ( st2=basesc->vstem,bcnt=hst_cnt; st2!=NULL; st2=st2->next, bcnt++ )
            if ( st2->start == start && st2->width == width )
        break;
        if ( st2!=NULL )
            (*hm)[bcnt>>3] |= (0x80>>(bcnt&7));
    }
    for ( i=0; i<HntMax/8; ++i )
        if ( (*hm)[i]!=0 )
return( hm );

return( NULL );
}

static HintMask *HintMaskTransform(HintMask *oldhm,real transform[6],
        SplineChar *basesc,SplineChar *subsc) {
    HintMask *newhm;
    StemInfo *st, *st2;
    int cnt, hst_cnt, bcnt;
    real start, width;

    if ( transform[1]!=0 || transform[2]!=0 )
return( NULL );

    newhm = chunkalloc(sizeof(HintMask));
    for ( st = subsc->hstem,cnt = 0; st!=NULL; st=st->next, cnt++ ) {
        if ( (*oldhm)[cnt>>3]&(0x80>>(cnt&7)) ) {
            start = st->start*transform[3] + transform[5];
            width = st->width*transform[3];
            for ( st2=basesc->hstem,bcnt=0; st2!=NULL; st2=st2->next, bcnt++ )
                if ( st2->start == start && st2->width == width )
            break;
            if ( st2!=NULL )
                (*newhm)[bcnt>>3] |= (0x80>>(bcnt&7));
        }
    }
    for ( st2=basesc->hstem,hst_cnt=0; st2!=NULL; st2=st2->next, hst_cnt++ );

    for ( st = subsc->vstem; st!=NULL; st=st->next, cnt++ ) {
        if ( (*oldhm)[cnt>>3]&(0x80>>(cnt&7)) ) {
            start = st->start*transform[0] + transform[4];
            width = st->width*transform[0];
            for ( st2=basesc->vstem,bcnt=hst_cnt; st2!=NULL; st2=st2->next, bcnt++ )
                if ( st2->start == start && st2->width == width )
            break;
            if ( st2!=NULL )
                (*newhm)[bcnt>>3] |= (0x80>>(bcnt&7));
        }
    }
return( newhm );
}

SplinePointList *SPLCopyTranslatedHintMasks(SplinePointList *base,
        SplineChar *basesc, SplineChar *subsc, BasePoint *trans ) {
    SplinePointList *spl, *spl2, *head;
    SplinePoint *spt, *spt2, *pfirst;
    real transform[6];
    Spline *s, *first;

    head = SplinePointListCopy(base);

    transform[0] = transform[3] = 1; transform[1] = transform[2] = 0;
    transform[4] = trans->x; transform[5] = trans->y;

    for ( spl = head, spl2=base; spl!=NULL; spl = spl->next, spl2 = spl2->next ) {
        pfirst = NULL;
        for ( spt = spl->first, spt2 = spl2->first ; spt!=pfirst; spt = spt->next->to, spt2 = spt2->next->to ) {
            if ( pfirst==NULL ) pfirst = spt;
            TransformPoint(spt,transform);
            if ( spt2->hintmask ) {
                chunkfree(spt->hintmask,sizeof(HintMask));
                spt->hintmask = HintMaskTransform(spt2->hintmask,transform,basesc,subsc);
            }
            if ( spt->next==NULL )
        break;
        }
        first = NULL;
        for ( s = spl->first->next; s!=NULL && s!=first; s=s->to->next ) {
            SplineRefigure(s);
            if ( first==NULL ) first = s;
        }
    }
return( head );
}

static SplinePointList *_SPLCopyTransformedHintMasks(SplineChar *subsc,int layer,
        real transform[6], SplineChar *basesc ) {
    SplinePointList *spl, *spl2, *head, *last=NULL, *cur, *base;
    SplinePoint *spt, *spt2, *pfirst;
    Spline *s, *first;
    real trans[6];
    RefChar *rf;

    base = subsc->layers[layer].splines;
    head = SplinePointListCopy(base);
    if ( head!=NULL )
        for ( last = head; last->next!=NULL; last=last->next );

    for ( spl = head, spl2=base; spl!=NULL; spl = spl->next, spl2=spl2->next ) {
        pfirst = NULL;
        for ( spt = spl->first, spt2 = spl2->first ; spt!=pfirst; spt = spt->next->to, spt2 = spt2->next->to ) {
            if ( pfirst==NULL ) pfirst = spt;
            TransformPoint(spt,transform);
            if ( spt2->hintmask ) {
                chunkfree(spt->hintmask,sizeof(HintMask));
                spt->hintmask = HintMaskTransform(spt2->hintmask,transform,basesc,subsc);
            }
            if ( spt->next==NULL )
        break;
        }
        first = NULL;
        for ( s = spl->first->next; s!=NULL && s!=first; s=s->to->next ) {
            SplineRefigure(s);
            if ( first==NULL ) first = s;
        }
    }
    for ( rf=subsc->layers[layer].refs; rf!=NULL; rf=rf->next ) {
        trans[0] = rf->transform[0]*transform[0] +
                    rf->transform[1]*transform[2];
        trans[1] = rf->transform[0]*transform[1] +
                    rf->transform[1]*transform[3];
        trans[2] = rf->transform[2]*transform[0] +
                    rf->transform[3]*transform[2];
        trans[3] = rf->transform[2]*transform[1] +
                    rf->transform[3]*transform[3];
        trans[4] = rf->transform[4]*transform[0] +
                    rf->transform[5]*transform[2] +
                    transform[4];
        trans[5] = rf->transform[4]*transform[1] +
                    rf->transform[5]*transform[3] +
                    transform[5];
        cur = _SPLCopyTransformedHintMasks(rf->sc,layer,trans,basesc);
        if ( head==NULL )
            head = cur;
        else
            last->next = cur;
        if ( cur!=NULL ) {
            while ( cur->next!=NULL ) cur = cur->next;
            last = cur;
        }
    }
return( head );
}

SplinePointList *SPLCopyTransformedHintMasks(RefChar *r,
        SplineChar *basesc, BasePoint *trans,int layer ) {
    real transform[6];

    memcpy(transform,r->transform,sizeof(transform));
    transform[4] += trans->x; transform[5] += trans->y;
return( _SPLCopyTransformedHintMasks(r->sc,layer,transform,basesc));
}

void SplinePointListSelect(SplinePointList *spl,int sel) {
    Spline *spline, *first;

    for ( ; spl!=NULL; spl = spl->next ) {
        first = NULL;
        spl->first->selected = sel;
        for ( spline = spl->first->next; spline!=NULL && spline!=first; spline=spline->to->next ) {
            spline->to->selected = sel;
            if ( first==NULL ) first = spline;
        }
    }
}

void SCMakeDependent(SplineChar *dependent,SplineChar *base) {
    struct splinecharlist *dlist;

    if ( dependent->searcherdummy )
return;

    for ( dlist=base->dependents; dlist!=NULL && dlist->sc!=dependent; dlist = dlist->next);
    if ( dlist==NULL ) {
        dlist = chunkalloc(sizeof(struct splinecharlist));
        dlist->sc = dependent;
        dlist->next = base->dependents;
        base->dependents = dlist;
    }
}

static void InstanciateReference(SplineFont *sf, RefChar *topref, RefChar *refs,
        real transform[6], SplineChar *dsc, int layer) {
    real trans[6];
    RefChar *rf;
    SplineChar *rsc;
    SplinePointList *spl, *new;
    int i;

    if ( !refs->checked ) {
        if ( refs->sc!=NULL )
            i = refs->sc->orig_pos;             /* Can happen in type3 fonts */
        else for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
            if ( strcmp(sf->glyphs[i]->name,AdobeStandardEncoding[refs->adobe_enc])==0 )
        break;
        if ( i!=sf->glyphcnt && !sf->glyphs[i]->ticked ) {
            refs->checked = true;
            refs->sc = rsc = sf->glyphs[i];
            refs->orig_pos = rsc->orig_pos;
            refs->unicode_enc = rsc->unicodeenc;
            SCMakeDependent(dsc,rsc);
        } else {
            LogError( _("Couldn't find referenced character \"%s\" in %s\n"),
                    AdobeStandardEncoding[refs->adobe_enc], dsc->name);
return;
        }
    } else if ( refs->sc->ticked )
return;

    rsc = refs->sc;
    rsc->ticked = true;

    for ( rf=rsc->layers[ly_fore].refs; rf!=NULL; rf = rf->next ) {
        trans[0] = rf->transform[0]*transform[0] +
                    rf->transform[1]*transform[2];
        trans[1] = rf->transform[0]*transform[1] +
                    rf->transform[1]*transform[3];
        trans[2] = rf->transform[2]*transform[0] +
                    rf->transform[3]*transform[2];
        trans[3] = rf->transform[2]*transform[1] +
                    rf->transform[3]*transform[3];
        trans[4] = rf->transform[4]*transform[0] +
                    rf->transform[5]*transform[2] +
                    transform[4];
        trans[5] = rf->transform[4]*transform[1] +
                    rf->transform[5]*transform[3] +
                    transform[5];
        InstanciateReference(sf,topref,rf,trans,rsc,layer);
    }
    rsc->ticked = false;

    {
        new = SplinePointListTransform(SplinePointListCopy(rsc->layers[layer].splines),transform,true);
        if ( new!=NULL ) {
            for ( spl = new; spl->next!=NULL; spl = spl->next );
            spl->next = topref->layers[0].splines;
            topref->layers[0].splines = new;
        }
    }
}

static char *copyparse(char *str) {
    char *ret, *rpt;
    int ch,i;

    if ( str==NULL )
return( str );

    rpt=ret=galloc(strlen(str)+1);
    while ( *str ) {
        if ( *str=='\\' ) {
            ++str;
            if ( *str=='n' ) ch = '\n';
            else if ( *str=='r' ) ch = '\r';
            else if ( *str=='t' ) ch = '\t';
            else if ( *str=='b' ) ch = '\b';
            else if ( *str=='f' ) ch = '\f';
            else if ( *str=='\\' ) ch = '\\';
            else if ( *str=='(' ) ch = '(';
            else if ( *str==')' ) ch = ')';
            else if ( *str>='0' && *str<='7' ) {
                for ( i=ch = 0; i<3 && *str>='0' && *str<='7'; ++i )
                    ch = (ch<<3) + *str++-'0';
                --str;
            } else
                ch = *str;
            ++str;
            *rpt++ = ch;
        } else
            *rpt++ = *str++;
    }
    *rpt = '\0';
    if ( !utf8_valid(ret)) {
        /* Assume latin1, convert to utf8 */
        rpt = latin1_2_utf8_copy(ret);
        free(ret);
        ret = rpt;
    }
return(ret);
}

char *XUIDFromFD(int xuid[20]) {
    int i;
    char *ret=NULL;

    for ( i=19; i>=0 && xuid[i]==0; --i );
    if ( i>=0 ) {
        int j; char *pt;
        ret = galloc(2+20*(i+1));
        pt = ret;
        *pt++ = '[';
        for ( j=0; j<=i; ++j ) {
            sprintf(pt,"%d ", xuid[j]);
            pt += strlen(pt);
        }
        pt[-1] = ']';
    }
return( ret );
}

static void SplineFontMetaData(SplineFont *sf,struct fontdict *fd) {
    int em;

    sf->fontname = utf8_verify_copy(fd->cidfontname?fd->cidfontname:fd->fontname);
    sf->display_size = -default_fv_font_size;
    sf->display_antialias = default_fv_antialias;
    if ( fd->fontinfo!=NULL ) {
        if ( sf->fontname==NULL && fd->fontinfo->fullname!=NULL ) {
            sf->fontname = EnforcePostScriptName(fd->fontinfo->fullname);
        }
        if ( sf->fontname==NULL ) sf->fontname = EnforcePostScriptName(fd->fontinfo->familyname);
        sf->fullname = copyparse(fd->fontinfo->fullname);
        sf->familyname = copyparse(fd->fontinfo->familyname);
        sf->weight = copyparse(fd->fontinfo->weight);
        sf->version = copyparse(fd->fontinfo->version);
        sf->copyright = copyparse(fd->fontinfo->notice);
        sf->italicangle = fd->fontinfo->italicangle;
        sf->upos = fd->fontinfo->underlineposition;
        sf->uwidth = fd->fontinfo->underlinethickness;
        sf->strokedfont = fd->painttype==2;
        sf->strokewidth = fd->strokewidth;
        sf->ascent = fd->fontinfo->ascent;
        sf->descent = fd->fontinfo->descent;
    }
    if ( sf->uniqueid==0 ) sf->uniqueid = fd->uniqueid;
    if ( sf->fontname==NULL ) sf->fontname = GetNextUntitledName();
    if ( sf->fullname==NULL ) sf->fullname = copy(sf->fontname);
    if ( sf->familyname==NULL ) sf->familyname = copy(sf->fontname);
    if ( sf->weight==NULL ) sf->weight = copy("");
    if ( fd->modificationtime!=0 ) {
        sf->modificationtime = fd->modificationtime;
        sf->creationtime = fd->creationtime;
    }
    sf->cidversion = fd->cidversion;
    sf->xuid = XUIDFromFD(fd->xuid);
    /*sf->wasbinary = fd->wasbinary;*/
    if ( fd->fontmatrix[0]==0 )
        em = 1000;
    else
        em = rint(1/fd->fontmatrix[0]);
    if ( sf->ascent==0 && sf->descent!=0 )
        sf->ascent = em-sf->descent;
    else if ( fd->fontbb[3]-fd->fontbb[1]==em ) {
        if ( sf->ascent==0 ) sf->ascent = fd->fontbb[3];
        if ( sf->descent==0 ) sf->descent = fd->fontbb[1];
    } else if ( sf->ascent==0 )
        sf->ascent = 8*em/10;
    sf->descent = em-sf->ascent;

    sf->private = fd->private->private; fd->private->private = NULL;
    PSDictRemoveEntry(sf->private, "OtherSubrs");

    sf->cidregistry = copy(fd->registry);
    sf->ordering = copy(fd->ordering);
    sf->supplement = fd->supplement;
    sf->pfminfo.fstype = fd->fontinfo->fstype;
    if ( sf->ordering!=NULL ) {
        if ( strnmatch(sf->ordering,"Japan",5)==0 )
            sf->uni_interp = ui_japanese;
        else if ( strnmatch(sf->ordering,"Korea",5)==0 )
            sf->uni_interp = ui_korean;
        else if ( strnmatch(sf->ordering,"CNS",3)==0 )
            sf->uni_interp = ui_trad_chinese;
        else if ( strnmatch(sf->ordering,"GB",2)==0 )
            sf->uni_interp = ui_simp_chinese;
    }
}

static void TransByFontMatrix(SplineFont *sf,real fontmatrix[6]) {
    real trans[6];
    int em = sf->ascent+sf->descent, i;
    SplineChar *sc;
    RefChar *refs;

    if ( fontmatrix[0]==fontmatrix[3] &&
            fontmatrix[1]==0 && fontmatrix[2]==0 &&
            fontmatrix[4]==0 && fontmatrix[5]==0 )
return;         /* It's just the expected matrix */

    trans[0] = 1;
    if ( fontmatrix[0]==fontmatrix[3] ) trans[3] = 1;
    else trans[3] = rint(fontmatrix[3]*em);
    trans[1] = fontmatrix[1]*em;
    trans[2] = fontmatrix[2]*em;
    trans[4] = rint(fontmatrix[4]*em);
    trans[5] = rint(fontmatrix[5]*em);

    for ( i=0; i<sf->glyphcnt; ++i ) if ( (sc=sf->glyphs[i])!=NULL ) {
        SplinePointListTransform(sc->layers[ly_fore].splines,trans,true);
        for ( refs=sc->layers[ly_fore].refs; refs!=NULL; refs=refs->next ) {
            /* Just scale the offsets. we'll do all the base characters */
            real temp = refs->transform[4]*trans[0] +
                        refs->transform[5]*trans[2] +
                        /*transform[4]*/0;
            refs->transform[5] = refs->transform[4]*trans[1] +
                        refs->transform[5]*trans[3] +
                        /*transform[5]*/0;
            refs->transform[4] = temp;
        }
        sc->changedsincelasthinted = true;
        sc->manualhints = false;
    }
    for ( i=0; i<sf->glyphcnt; ++i ) if ( (sc=sf->glyphs[i])!=NULL ) {
        for ( refs=sc->layers[ly_fore].refs; refs!=NULL; refs=refs->next )
            SCReinstanciateRefChar(sc,refs,ly_fore);
    }
}

void SFInstanciateRefs(SplineFont *sf) {
    int i, layer;
    RefChar *refs, *next, *pr;

    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
        sf->glyphs[i]->ticked = false;

    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL ) {
        SplineChar *sc = sf->glyphs[i];

        for ( layer=ly_back; layer<sc->layer_cnt; ++layer ) {
            for ( pr=NULL, refs = sc->layers[layer].refs; refs!=NULL; refs=next ) {
                next = refs->next;
                sc->ticked = true;
                InstanciateReference(sf, refs, refs, refs->transform,sc,layer);
                if ( refs->sc!=NULL ) {
                    SplineSetFindBounds(refs->layers[0].splines,&refs->bb);
                    sc->ticked = false;
                    pr = refs;
                } else {
                    /* In some mal-formed postscript fonts we can have a reference */
                    /*  to a character that is not actually in the font. I even */
                    /*  generated one by mistake once... */
                    if ( pr==NULL )
                        sc->layers[layer].refs = next;
                    else
                        pr->next = next;
                    refs->next = NULL;
                    RefCharsFree(refs);
                }
            }
        }
    }
}

/* Also handles type3s */
static void _SplineFontFromType1(SplineFont *sf, FontDict *fd, struct pscontext *pscontext) {
    int i, j, notdefpos;
    RefChar *refs, *next;
    int istype2 = fd->fonttype==2;              /* Easy enough to deal with even though it will never happen... */
    int istype3 = fd->charprocs->next!=0;
    EncMap *map;

    if ( istype2 )
        fd->private->subrs->bias = fd->private->subrs->cnt<1240 ? 107 :
            fd->private->subrs->cnt<33900 ? 1131 : 32768;
    sf->glyphmax = sf->glyphcnt = istype3 ? fd->charprocs->next : fd->chars->next;
    if ( sf->map==NULL ) {
        sf->map = map = EncMapNew(256+CharsNotInEncoding(fd),sf->glyphcnt,fd->encoding_name);
    } else
        map = sf->map;
    sf->glyphs = gcalloc(map->backmax,sizeof(SplineChar *));
    if ( istype3 )
        notdefpos = LookupCharString(".notdef",(struct pschars *) (fd->charprocs));
    else
        notdefpos = LookupCharString(".notdef",fd->chars);
    for ( i=0; i<256; ++i ) {
        int k;
        if ( istype3 ) {
            k = LookupCharString(fd->encoding[i],(struct pschars *) (fd->charprocs));
        } else {
            k = LookupCharString(fd->encoding[i],fd->chars);
        }
        if ( k==-1 ) k = notdefpos;
        map->map[i] = k;
        if ( k!=-1 && map->backmap[k]==-1 )
            map->backmap[k] = i;
    }
    if ( map->enccount>256 ) {
        int k, j;
        for ( k=0; k<fd->chars->cnt; ++k ) {
            if ( fd->chars->keys[k]!=NULL ) {
                for ( j=0; j<256; ++j )
                    if ( fd->encoding[j]!=NULL &&
                            strcmp(fd->encoding[j],fd->chars->keys[k])==0 )
                break;
                if ( j==256 ) {
                    map->map[i] = k;
                    if ( map->backmap[k]==-1 )
                        map->backmap[k] = i;
                    ++i;
                }
            }
        }
        /* And for type3s */
        for ( k=0; k<fd->charprocs->cnt; ++k ) {
            if ( fd->charprocs->keys[k]!=NULL ) {
                for ( j=0; j<256; ++j )
                    if ( fd->encoding[j]!=NULL &&
                            strcmp(fd->encoding[j],fd->charprocs->keys[k])==0 )
                break;
                if ( j==256 ) {
                    map->map[i] = k;
                    if ( map->backmap[k]==-1 )
                        map->backmap[k] = i;
                    ++i;
                }
            }
        }
    }
    for ( i=0; i<map->enccount; ++i ) if ( map->map[i]==-1 )
        map->map[i] = notdefpos;

    for ( i=0; i<sf->glyphcnt; ++i ) {
        if ( !istype3 )
            sf->glyphs[i] = PSCharStringToSplines(fd->chars->values[i],fd->chars->lens[i],
                    pscontext,fd->private->subrs,NULL,fd->chars->keys[i]);
        else
            sf->glyphs[i] = fd->charprocs->values[i];
        if ( sf->glyphs[i]!=NULL ) {
            sf->glyphs[i]->orig_pos = i;
            sf->glyphs[i]->vwidth = sf->ascent+sf->descent;
            sf->glyphs[i]->unicodeenc = UniFromName(sf->glyphs[i]->name,sf->uni_interp,map->enc);
            sf->glyphs[i]->parent = sf;
            /* SCLigDefault(sf->glyphs[i]);*/           /* Also reads from AFM file, but it probably doesn't exist */
        }
        ff_progress_next();
    }
    SFInstanciateRefs(sf);
    if ( fd->metrics!=NULL ) {
        for ( i=0; i<fd->metrics->next; ++i ) {
            int width = strtol(fd->metrics->values[i],NULL,10);
            for ( j=sf->glyphcnt-1; j>=0; --j ) {
                if ( sf->glyphs[j]!=NULL && sf->glyphs[j]->name!=NULL &&
                        strcmp(fd->metrics->keys[i],sf->glyphs[j]->name)==0 ) {
                    sf->glyphs[j]->width = width;
            break;
                }
            }
        }
    }
    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
            for ( refs = sf->glyphs[i]->layers[ly_fore].refs; refs!=NULL; refs=next ) {
        next = refs->next;
        if ( refs->adobe_enc==' ' && refs->layers[0].splines==NULL ) {
            /* When I have a link to a single character I will save out a */
            /*  seac to that character and a space (since I can only make */
            /*  real char links), so if we find a space link, get rid of*/
            /*  it. It's an artifact */
            SCRefToSplines(sf->glyphs[i],refs,ly_fore);
        }
    }
    /* sometimes (some apple oblique fonts) the fontmatrix is not just a */
    /*  formality, it acutally contains a skew. So be ready */
    if ( fd->fontmatrix[0]!=0 )
        TransByFontMatrix(sf,fd->fontmatrix);
}

static void SplineFontFromType1(SplineFont *sf, FontDict *fd, struct pscontext *pscontext) {
    int i;
    SplineChar *sc;

    _SplineFontFromType1(sf,fd,pscontext);

    /* Clean up the hint masks, We create an initial hintmask whether we need */
    /*  it or not */
    for ( i=0; i<sf->glyphcnt; ++i ) {
        if ( (sc = sf->glyphs[i])!=NULL && !sc->hconflicts && !sc->vconflicts &&
                sc->layers[ly_fore].splines!=NULL ) {
            chunkfree( sc->layers[ly_fore].splines->first->hintmask,sizeof(HintMask) );
            sc->layers[ly_fore].splines->first->hintmask = NULL;
        }
    }
}

static SplineFont *SplineFontFromMMType1(SplineFont *sf, FontDict *fd, struct pscontext *pscontext) {
    char *pt, *end, *origweight;
    MMSet *mm;
    int ipos, apos, ppos, item, i;
    real blends[12];    /* At most twelve points/axis in a blenddesignmap */
    real designs[12];
    EncMap *map;

    if ( fd->weightvector==NULL || fd->fontinfo->blenddesignpositions==NULL ||
            fd->fontinfo->blenddesignmap==NULL || fd->fontinfo->blendaxistypes==NULL ) {
        ff_post_error(_("Bad Multiple Master Font"),_("Bad Multiple Master Font"));
        SplineFontFree(sf);
return( NULL );
    }

    mm = chunkalloc(sizeof(MMSet));

    pt = fd->weightvector;
    while ( *pt==' ' || *pt=='[' ) ++pt;
    while ( *pt!=']' && *pt!='\0' ) {
        pscontext->blend_values[ pscontext->instance_count ] =
                strtod(pt,&end);
        if ( pt==end )
    break;
        ++(pscontext->instance_count);
        if ( pscontext->instance_count>=(int)(sizeof(pscontext->blend_values)/sizeof(pscontext->blend_values[0]))) {
            LogError( _("Multiple master font with more than 16 instances\n") );
    break;
        }
        for ( pt = end; *pt==' '; ++pt );
    }

    mm->instance_count = pscontext->instance_count;
    mm->instances = galloc(pscontext->instance_count*sizeof(SplineFont *));
    mm->defweights = galloc(mm->instance_count*sizeof(real));
    memcpy(mm->defweights,pscontext->blend_values,mm->instance_count*sizeof(real));
    mm->normal = sf;
    _SplineFontFromType1(mm->normal,fd,pscontext);
    map = sf->map;
    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
        sf->glyphs[i]->blended = true;
    sf->mm = mm;

    pt = fd->fontinfo->blendaxistypes;
    while ( *pt==' ' || *pt=='[' ) ++pt;
    while ( *pt!=']' && *pt!='\0' ) {
        if ( *pt=='/' ) ++pt;
        for ( end=pt; *end!=' ' && *end!=']' && *end!='\0'; ++end );
        if ( pt==end )
    break;
        if ( mm->axis_count>=(int)(sizeof(mm->axes)/sizeof(mm->axes[0]))) {
            LogError( _("Multiple master font with more than 4 axes\n") );
    break;
        }
        mm->axes[ mm->axis_count++ ] = copyn( pt,end-pt );
        for ( pt = end; *pt==' '; ++pt );
    }

    if ( mm->instance_count < (1<<mm->axis_count) )
        ff_post_error(_("Bad Multiple Master Font"),_("This multiple master font has %1$d instance fonts, but it needs at least %2$d master fonts for %3$d axes. FontForge will not be able to edit this correctly"),mm->instance_count,1<<mm->axis_count,mm->axis_count);
    else if ( mm->instance_count > (1<<mm->axis_count) )
        ff_post_error(_("Bad Multiple Master Font"),_("This multiple master font has %1$d instance fonts, but FontForge can only handle %2$d master fonts for %3$d axes. FontForge will not be able to edit this correctly"),mm->instance_count,1<<mm->axis_count,mm->axis_count);
    mm->positions = gcalloc(mm->axis_count*mm->instance_count,sizeof(real));
    pt = fd->fontinfo->blenddesignpositions;
    while ( *pt==' ' ) ++pt;
    if ( *pt=='[' ) ++pt;
    ipos = 0;
    while ( *pt!=']' && *pt!='\0' ) {
        while ( *pt==' ' ) ++pt;
        if ( *pt==']' || *pt=='\0' )
    break;
        if ( ipos>=mm->instance_count )
    break;
        if ( *pt=='[' ) {
            ++pt;
            apos=0;
            while ( *pt!=']' && *pt!='\0' ) {
                if ( apos>=mm->axis_count ) {
                    LogError( _("Too many axis positions specified in /BlendDesignPositions.\n") );
            break;
                }
                mm->positions[ipos*mm->axis_count+apos] =
                        strtod(pt,&end);
                if ( pt==end )
            break;
                ++apos;
                for ( pt = end; *pt==' '; ++pt );
            }
            if ( *pt==']' ) ++pt;
            ++ipos;
        } else
            ++pt;
    }
    
    mm->axismaps = gcalloc(mm->axis_count,sizeof(struct axismap));
    pt = fd->fontinfo->blenddesignmap;
    while ( *pt==' ' ) ++pt;
    if ( *pt=='[' ) ++pt;
    apos = 0;
    while ( *pt!=']' && *pt!='\0' ) {
        while ( *pt==' ' ) ++pt;
        if ( *pt==']' || *pt=='\0' )
    break;
        if ( apos>=mm->axis_count )
    break;
        if ( *pt=='[' ) {
            ++pt;
            ppos=0;
            while ( *pt!=']' && *pt!='\0' ) {
                if ( ppos>=12 ) {
                    LogError( _("Too many mapping data points specified in /BlendDesignMap for axis %s.\n"), mm->axes[apos] );
            break;
                }
                while ( *pt==' ' ) ++pt;
                if ( *pt=='[' ) {
                    ++pt;
                    designs[ppos] = strtod(pt,&end);
                    blends[ppos] = strtod(end,&end);
                    if ( blends[ppos]<0 || blends[ppos]>1 ) {
                        LogError( _("Bad value for blend in /BlendDesignMap for axis %s.\n"), mm->axes[apos] );
                        if ( blends[ppos]<0 ) blends[ppos] = 0;
                        if ( blends[ppos]>1 ) blends[ppos] = 1;
                    }
                    pt = end;
                    while ( *pt!=']' && *pt!='\0' ) ++pt;
                    ppos ++;
                }
                ++pt;
                while ( *pt==' ' ) ++pt;
            }
            if ( *pt==']' ) ++pt;
            if ( ppos<2 )
                LogError( _("Bad few values in /BlendDesignMap for axis %s.\n"), mm->axes[apos] );
            mm->axismaps[apos].points = ppos;
            mm->axismaps[apos].blends = galloc(ppos*sizeof(real));
            mm->axismaps[apos].designs = galloc(ppos*sizeof(real));
            memcpy(mm->axismaps[apos].blends,blends,ppos*sizeof(real));
            memcpy(mm->axismaps[apos].designs,designs,ppos*sizeof(real));
            ++apos;
        } else
            ++pt;
    }

    mm->cdv = copy(fd->cdv);
    mm->ndv = copy(fd->ndv);

    origweight = fd->fontinfo->weight;

    /* Now figure out the master designs, being careful to interpolate */
    /* BlueValues, ForceBold, UnderlinePosition etc. We need to copy private */
    /* generate a font name */
    for ( ipos = 0; ipos<mm->instance_count; ++ipos ) {
        free(fd->fontname);
        free(fd->fontinfo->fullname);
        fd->fontname = MMMakeMasterFontname(mm,ipos,&fd->fontinfo->fullname);
        fd->fontinfo->weight = MMGuessWeight(mm,ipos,copy(origweight));
        if ( fd->blendfontinfo!=NULL ) {
            for ( item=0; item<3; ++item ) {
                static char *names[] = { "ItalicAngle", "UnderlinePosition", "UnderlineThickness" };
                pt = PSDictHasEntry(fd->blendfontinfo,names[item]);
                if ( pt!=NULL ) {
                    pt = MMExtractNth(pt,ipos);
                    if ( pt!=NULL ) {
                        double val = strtod(pt,NULL);
                        free(pt);
                        switch ( item ) {
                          case 0: fd->fontinfo->italicangle = val; break;
                          case 1: fd->fontinfo->underlineposition = val; break;
                          case 2: fd->fontinfo->underlinethickness = val; break;
                        }
                    }
                }
            }
        }
        fd->private->private = PSDictCopy(sf->private);
        if ( fd->blendprivate!=NULL ) {
            static char *arrnames[] = { "BlueValues", "OtherBlues", "FamilyBlues", "FamilyOtherBlues", "StdHW", "StdVW", "StemSnapH", "StemSnapV", NULL };
            static char *scalarnames[] = { "ForceBold", "BlueFuzz", "BlueScale", "BlueShift", NULL };
            for ( item=0; scalarnames[item]!=NULL; ++item ) {
                pt = PSDictHasEntry(fd->blendprivate,scalarnames[item]);
                if ( pt!=NULL ) {
                    pt = MMExtractNth(pt,ipos);
                    PSDictChangeEntry(fd->private->private,scalarnames[item],pt);
                    free(pt);
                }
            }
            for ( item=0; arrnames[item]!=NULL; ++item ) {
                pt = PSDictHasEntry(fd->blendprivate,arrnames[item]);
                if ( pt!=NULL ) {
                    pt = MMExtractArrayNth(pt,ipos);
                    PSDictChangeEntry(fd->private->private,arrnames[item],pt);
                    free(pt);
                }
            }
        }
        for ( item=0; item<mm->instance_count; ++item )
            pscontext->blend_values[item] = 0;
        pscontext->blend_values[ipos] = 1;

        mm->instances[ipos] = SplineFontEmpty();
        SplineFontMetaData(mm->instances[ipos],fd);
        free(fd->fontinfo->weight);
        mm->instances[ipos]->map = map;
        _SplineFontFromType1(mm->instances[ipos],fd,pscontext);
        mm->instances[ipos]->mm = mm;
    }
    fd->fontinfo->weight = origweight;

    /* Clean up hintmasks. We always create a hintmask on the first point */
    /*  only keep them if we actually have conflicts.                     */
    for ( i=0; i<mm->normal->glyphcnt; ++i )
            if ( mm->normal->glyphs[i]!=NULL &&
                    mm->normal->glyphs[i]->layers[ly_fore].splines != NULL ) {
        for ( item=0; item<mm->instance_count; ++item )
            if ( mm->instances[item]->glyphs[i]->vconflicts ||
                    mm->instances[item]->glyphs[i]->hconflicts )
        break;
        if ( item==mm->instance_count ) {       /* No conflicts */
            for ( item=0; item<mm->instance_count; ++item ) {
                chunkfree( mm->instances[item]->glyphs[i]->layers[ly_fore].splines->first->hintmask, sizeof(HintMask) );
                mm->instances[item]->glyphs[i]->layers[ly_fore].splines->first->hintmask = NULL;
            }
            chunkfree( mm->normal->glyphs[i]->layers[ly_fore].splines->first->hintmask, sizeof(HintMask) );
            mm->normal->glyphs[i]->layers[ly_fore].splines->first->hintmask = NULL;
        }
    }

return( sf );
}

static SplineFont *SplineFontFromCIDType1(SplineFont *sf, FontDict *fd,
        struct pscontext *pscontext) {
    int i,j,k, uni;
    unsigned bad;
    SplineChar **chars;
    char buffer[100];
    struct cidmap *map;
    SplineFont *_sf;
    SplineChar *sc;
    EncMap *encmap;

    bad = 0x80000000;
    for ( i=0; i<fd->fdcnt; ++i )
        if ( fd->fds[i]->fonttype!=1 && fd->fds[i]->fonttype!=2 )
            bad = fd->fds[i]->fonttype;
    if ( bad!=0x80000000 || fd->cidfonttype!=0 ) {
        LogError( _("Could not parse a CID font, %sCIDFontType %d, %sfonttype %d\n"),
                ( fd->cidfonttype!=0 ) ? "unexpected " : "",
                  ( bad!=0x80000000 ) ? "unexpected " : "",
                fd->cidfonttype, bad );
        SplineFontFree(sf);
return( NULL );
    }
    if ( fd->cidstrs==NULL || fd->cidcnt==0 ) {
        LogError( _("CID format doesn't contain what we expected it to.\n") );
        SplineFontFree(sf);
return( NULL );
    }

    encmap = EncMap1to1(fd->cidcnt);

    sf->subfontcnt = fd->fdcnt;
    sf->subfonts = galloc((sf->subfontcnt+1)*sizeof(SplineFont *));
    for ( i=0; i<fd->fdcnt; ++i ) {
        if ( fd->fontmatrix[0]!=0 ) {
            MatMultiply(fd->fontmatrix,fd->fds[i]->fontmatrix,fd->fds[i]->fontmatrix);
        }
        sf->subfonts[i] = SplineFontEmpty();
        SplineFontMetaData(sf->subfonts[i],fd->fds[i]);
        sf->subfonts[i]->cidmaster = sf;
        sf->subfonts[i]->uni_interp = sf->uni_interp;
        sf->subfonts[i]->map = encmap;
        if ( fd->fds[i]->fonttype==2 )
            fd->fds[i]->private->subrs->bias =
                    fd->fds[i]->private->subrs->cnt<1240 ? 107 :
                    fd->fds[i]->private->subrs->cnt<33900 ? 1131 : 32768;
    }

    map = FindCidMap(sf->cidregistry,sf->ordering,sf->supplement,sf);

    chars = gcalloc(fd->cidcnt,sizeof(SplineChar *));
    for ( i=0; i<fd->cidcnt; ++i ) if ( fd->cidlens[i]>0 ) {
        j = fd->cidfds[i];              /* We get font indexes of 255 for non-existant chars */
        uni = CID2NameUni(map,i,buffer,sizeof(buffer));
        pscontext->is_type2 = fd->fds[j]->fonttype==2;
        chars[i] = PSCharStringToSplines(fd->cidstrs[i],fd->cidlens[i],
                    pscontext,fd->fds[j]->private->subrs,
                    NULL,buffer);
        chars[i]->vwidth = sf->subfonts[j]->ascent+sf->subfonts[j]->descent;
        chars[i]->unicodeenc = uni;
        chars[i]->orig_pos = i;
        /* There better not be any references (seac's) because we have no */
        /*  encoding on which to base any fixups */
        if ( chars[i]->layers[ly_fore].refs!=NULL )
            IError( "Reference found in CID font. Can't fix it up");
        sf->subfonts[j]->glyphcnt = sf->subfonts[j]->glyphmax = i+1;
        ff_progress_next();
    }
    for ( i=0; i<fd->fdcnt; ++i )
        sf->subfonts[i]->glyphs = gcalloc(sf->subfonts[i]->glyphcnt,sizeof(SplineChar *));
    for ( i=0; i<fd->cidcnt; ++i ) if ( chars[i]!=NULL ) {
        j = fd->cidfds[i];
        if ( j<sf->subfontcnt ) {
            sf->subfonts[j]->glyphs[i] = chars[i];
            chars[i]->parent = sf->subfonts[j];
        }
    }
    free(chars);

    /* Clean up the hint masks, We create an initial hintmask whether we */
    /*  need it or not */
    k=0;
    do {
        _sf = k<sf->subfontcnt?sf->subfonts[k]:sf;
        for ( i=0; i<_sf->glyphcnt; ++i ) {
            if ( (sc = _sf->glyphs[i])!=NULL && !sc->hconflicts && !sc->vconflicts &&
                    sc->layers[ly_fore].splines!=NULL ) {
                chunkfree( sc->layers[ly_fore].splines->first->hintmask,sizeof(HintMask) );
                sc->layers[ly_fore].splines->first->hintmask = NULL;
            }
        }
        ++k;
    } while ( k<sf->subfontcnt );
return( sf );
}

SplineFont *SplineFontFromPSFont(FontDict *fd) {
    SplineFont *sf;
    struct pscontext pscontext;

    if ( fd->sf!=NULL )
        sf = fd->sf;
    else {
        memset(&pscontext,0,sizeof(pscontext));
        pscontext.is_type2 = fd->fonttype==2;
        pscontext.painttype = fd->painttype;

        sf = SplineFontEmpty();
        SplineFontMetaData(sf,fd);
        if ( fd->wascff ) {
            SplineFontFree(sf);
            sf = fd->sf;
        } else if ( fd->fdcnt!=0 )
            sf = SplineFontFromCIDType1(sf,fd,&pscontext);
        else if ( fd->weightvector!=NULL )
            SplineFontFromMMType1(sf,fd,&pscontext);
        else
            SplineFontFromType1(sf,fd,&pscontext);
    }
return( sf );
}

void RefCharFindBounds(RefChar *rf) {
    SplineSetFindBounds(rf->layers[0].splines,&rf->bb);
    SplineSetFindTop(rf->layers[0].splines,&rf->top);
}

void SCReinstanciateRefChar(SplineChar *sc,RefChar *rf,int layer) {
    SplinePointList *new, *last;
    RefChar *refs;
    (void)sc;
    {
        if ( rf->layer_cnt>0 ) {
            SplinePointListsFree(rf->layers[0].splines);
            rf->layers[0].splines = NULL;
        }
        rf->layers = gcalloc(1,sizeof(struct reflayer));
        rf->layer_cnt = 1;
        new = SplinePointListTransform(SplinePointListCopy(rf->sc->layers[layer].splines),rf->transform,true);
        rf->layers[0].splines = new;
        last = NULL;
        if ( new!=NULL )
            for ( last = new; last->next!=NULL; last = last->next );
        for ( refs = rf->sc->layers[layer].refs; refs!=NULL; refs = refs->next ) {
            new = SplinePointListTransform(SplinePointListCopy(refs->layers[0].splines),rf->transform,true);
            if ( last!=NULL )
                last->next = new;
            else
                rf->layers[0].splines = new;
            if ( new!=NULL )
                for ( last = new; last->next!=NULL; last = last->next );
        }
    }
    RefCharFindBounds(rf);
}

static void _SFReinstanciateRefs(SplineFont *sf) {
    int i, undone, undoable, j, cnt;
    RefChar *ref;

    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
        sf->glyphs[i]->ticked = false;

    undone = true;
    cnt = 0;
    while ( undone && cnt<200) {
        undone = false;
        for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL && !sf->glyphs[i]->ticked ) {
            undoable = false;
            for ( j=0; j<sf->glyphs[i]->layer_cnt; ++j ) {
                for ( ref=sf->glyphs[i]->layers[j].refs; ref!=NULL; ref=ref->next ) {
                    if ( !ref->sc->ticked )
                        undoable = true;
                }
            }
            if ( undoable )
                undone = true;
            else {
                for ( j=0; j<sf->glyphs[i]->layer_cnt; ++j ) {
                    for ( ref=sf->glyphs[i]->layers[j].refs; ref!=NULL; ref=ref->next )
                        SCReinstanciateRefChar(sf->glyphs[i],ref,j);
                }
                sf->glyphs[i]->ticked = true;
            }
        }
        ++cnt;
    }
}
            
void SFReinstanciateRefs(SplineFont *sf) {
    int i;

    if ( sf->cidmaster!=NULL || sf->subfontcnt!=0 ) {
        if ( sf->cidmaster!=NULL ) sf = sf->cidmaster;
        for ( i=0; i<sf->subfontcnt; ++i )
            _SFReinstanciateRefs(sf->subfonts[i]);
    } else
        _SFReinstanciateRefs(sf);
}

void SCReinstanciateRef(SplineChar *sc,SplineChar *rsc,int layer) {
    RefChar *rf;

    for ( rf=sc->layers[layer].refs; rf!=NULL; rf=rf->next ) if ( rf->sc==rsc ) {
        SCReinstanciateRefChar(sc,rf,layer);
    }
}

void SCRemoveDependent(SplineChar *dependent,RefChar *rf,int layer) {
    struct splinecharlist *dlist, *pd;
    RefChar *prev;

    if ( dependent->layers[layer].refs==rf )
        dependent->layers[layer].refs = rf->next;
    else {
        for ( prev = dependent->layers[layer].refs; prev->next!=rf; prev=prev->next );
        prev->next = rf->next;
    }
    /* Check for multiple dependencies (colon has two refs to period) */
    /*  if there are none, then remove dependent from ref->sc's dependents list */
    for ( prev = dependent->layers[ly_fore].refs; prev!=NULL && (prev==rf || prev->sc!=rf->sc); prev = prev->next );
    if ( prev==NULL ) {
        dlist = rf->sc->dependents;
        if ( dlist==NULL )
            /* Do nothing */;
        else if ( dlist->sc==dependent ) {
            rf->sc->dependents = dlist->next;
        } else {
            for ( pd=dlist, dlist = pd->next; dlist!=NULL && dlist->sc!=dependent; pd=dlist, dlist = pd->next );
            if ( dlist!=NULL )
                pd->next = dlist->next;
        }
        chunkfree(dlist,sizeof(struct splinecharlist));
    }
    RefCharFree(rf);
}

void SCRemoveLayerDependents(SplineChar *dependent,int layer) {
    RefChar *rf, *next;

    for ( rf=dependent->layers[layer].refs; rf!=NULL; rf=next ) {
        next = rf->next;
        SCRemoveDependent(dependent,rf,layer);
    }
    dependent->layers[layer].refs = NULL;
}

void SCRemoveDependents(SplineChar *dependent) {
    int layer;

    for ( layer=ly_fore; layer<dependent->layer_cnt; ++layer )
        SCRemoveLayerDependents(dependent,layer);
}

void SCRefToSplines(SplineChar *sc,RefChar *rf,int layer) {
    SplineSet *spl;
    {
        if ( (spl = rf->layers[0].splines)!=NULL ) {
            while ( spl->next!=NULL )
                spl = spl->next;
            spl->next = sc->layers[layer].splines;
            sc->layers[layer].splines = rf->layers[0].splines;
            rf->layers[0].splines = NULL;
        }
    }
    SCRemoveDependent(sc,rf,layer);
}

/* This returns all real solutions, even those out of bounds */
/* I use -999999 as an error flag, since we're really only interested in */
/*  solns near 0 and 1 that should be ok. -1 is perhaps a little too close */
static int _CubicSolve(const Spline1D *sp,extended ts[3]) {
    extended d, xN, yN, delta2, temp, delta, h, t2, t3, theta;
    int i=0;

    ts[0] = ts[1] = ts[2] = -999999;
    if ( sp->d==0 && sp->a!=0 ) {
        /* one of the roots is 0, the other two are the soln of a quadratic */
        ts[0] = 0;
        if ( sp->c==0 ) {
            ts[1] = -sp->b/(extended) sp->a;    /* two zero roots */
        } else {
            temp = sp->b*(extended) sp->b-4*(extended) sp->a*sp->c;
            if ( RealNear(temp,0))
                ts[1] = -sp->b/(2*(extended) sp->a);
            else if ( temp>=0 ) {
                temp = sqrt(temp);
                ts[1] = (-sp->b+temp)/(2*(extended) sp->a);
                ts[2] = (-sp->b-temp)/(2*(extended) sp->a);
            }
        }
    } else if ( sp->a!=0 ) {
    /* http://www.m-a.org.uk/eb/mg/mg077ch.pdf */
    /* this nifty solution to the cubic neatly avoids complex arithmatic */
        xN = -sp->b/(3*(extended) sp->a);
        yN = ((sp->a*xN + sp->b)*xN+sp->c)*xN + sp->d;

        delta2 = (sp->b*(extended) sp->b-3*(extended) sp->a*sp->c)/(9*(extended) sp->a*sp->a);
        if ( RealNear(delta2,0) ) delta2 = 0;

        /* the descriminant is yN^2-h^2, but delta might be <0 so avoid using h */
        d = yN*yN - 4*sp->a*sp->a*delta2*delta2*delta2;
        if ( ((yN>.01 || yN<-.01) && RealNear(d/yN,0)) || ((yN<=.01 && yN>=-.01) && RealNear(d,0)) )
            d = 0;
        if ( d>0 ) {
            temp = sqrt(d);
            t2 = (-yN-temp)/(2*sp->a);
            t2 = (t2==0) ? 0 : (t2<0) ? -pow(-t2,1./3.) : pow(t2,1./3.);
            t3 = (-yN+temp)/(2*sp->a);
            t3 = t3==0 ? 0 : (t3<0) ? -pow(-t3,1./3.) : pow(t3,1./3.);
            ts[0] = xN + t2 + t3;
        } else if ( d<0 ) {
            if ( delta2>=0 ) {
                delta = sqrt(delta2);
                h = 2*sp->a*delta2*delta;
                temp = -yN/h;
                if ( temp>=-1.0001 && temp<=1.0001 ) {
                    if ( temp<-1 ) temp = -1; else if ( temp>1 ) temp = 1;
                    theta = acos(temp)/3;
                    ts[i++] = xN+2*delta*cos(theta);
                    ts[i++] = xN+2*delta*cos(2.0943951+theta);
                    ts[i++] = xN+2*delta*cos(4.1887902+theta);
                }
            }
        } else if ( /* d==0 && */ delta2!=0 ) {
            delta = yN/(2*sp->a);
            delta = delta==0 ? 0 : delta>0 ? pow(delta,1./3.) : -pow(-delta,1./3.);
            ts[i++] = xN + delta;       /* this root twice, but that's irrelevant to me */
            ts[i++] = xN - 2*delta;
        } else if ( /* d==0 && */ delta2==0 ) {
            if ( xN>=-0.0001 && xN<=1.0001 ) ts[0] = xN;
        }
    } else if ( sp->b!=0 ) {
        extended d = sp->c*(extended) sp->c-4*(extended) sp->b*sp->d;
        if ( RealNear(d,0)) d=0;
        if ( d<0 )
return(false);          /* All roots imaginary */
        d = sqrt(d);
        ts[0] = (-sp->c-d)/(2*(extended) sp->b);
        ts[1] = (-sp->c+d)/(2*(extended) sp->b);
    } else if ( sp->c!=0 ) {
        ts[0] = -sp->d/(extended) sp->c;
    } else {
        /* If it's a point then either everything is a solution, or nothing */
    }
return( ts[0]!=-999999 );
}

int CubicSolve(const Spline1D *sp,extended ts[3]) {
    extended t;
    int i;
    /* This routine gives us all solutions between [0,1] with -1 as an error flag */
    /* http://mathforum.org/dr.math/faq/faq.cubic.equations.html */

    if ( !_CubicSolve(sp,ts)) {
        ts[0] = ts[1] = ts[2] = -1;
return( false );
    }

    for ( i=0; i<3; ++i )
        if ( ts[i]==-999999 ) ts[i] = -1;
    if (ts[0]>1.0001 || ts[0]<-.0001 ) ts[0] = -1;
    else if ( ts[0]<0 ) ts[0] = 0; else if ( ts[0]>1 ) ts[0] = 1;
    if (ts[1]>1.0001 || ts[1]<-.0001 ) ts[1] = -1;
    else if ( ts[1]<0 ) ts[1] = 0; else if ( ts[1]>1 ) ts[1] = 1;
    if (ts[2]>1.0001 || ts[2]<-.0001 ) ts[2] = -1;
    else if ( ts[2]<0 ) ts[2] = 0; else if ( ts[2]>1 ) ts[2] = 1;
    if ( ts[1]==-1 ) { ts[1] = ts[2]; ts[2] = -1;}
    if ( ts[0]==-1 ) { ts[0] = ts[1]; ts[1] = ts[2]; ts[2] = -1; }
    if ( ts[0]==-1 )
return( false );
    if ( ts[0]>ts[2] && ts[2]!=-1 ) {
        t = ts[0]; ts[0] = ts[2]; ts[2] = t;
    }
    if ( ts[0]>ts[1] && ts[1]!=-1 ) {
        t = ts[0]; ts[0] = ts[1]; ts[1] = t;
    }
    if ( ts[1]>ts[2] && ts[2]!=-1 ) {
        t = ts[1]; ts[1] = ts[2]; ts[2] = t;
    }
return( true );
}


extended SplineSolve(const Spline1D *sp, real tmin, real tmax, extended sought,real err) {
    /* We want to find t so that spline(t) = sought */
    /*  the curve must be monotonic */
    /* returns t which is near sought or -1 */
    Spline1D temp;
    extended ts[3];
    int i;
    extended t;
    (void)err;
    temp = *sp;
    temp.d -= sought;
    CubicSolve(&temp,ts);
    if ( tmax<tmin ) { t = tmax; tmax = tmin; tmin = t; }
    for ( i=0; i<3; ++i )
        if ( ts[i]>=tmin && ts[i]<=tmax )
return( ts[i] );

return( -1 );
}

#ifndef EXTENDED_IS_LONG_DOUBLE
double CheckExtremaForSingleBitErrors(const Spline1D *sp, double t) {
    union { double dval; int32 ival[2]; } u1, um1, temp;
    double slope, slope1, slopem1;
#ifdef WORDS_BIGENDIAN
    const int index = 1;
#else
    const int index = 0;
#endif

    slope = (3*(double) sp->a*t+2*sp->b)*t+sp->c;

    u1.dval = t;
    u1.ival[index] += 1;
    slope1 = (3*(double) sp->a*u1.dval+2*sp->b)*u1.dval+sp->c;

    um1.dval = t;
    um1.ival[index] -= 1;
    slopem1 = (3*(double) sp->a*um1.dval+2*sp->b)*um1.dval+sp->c;

    if ( slope<0 ) slope = -slope;
    if ( slope1<0 ) slope1 = -slope1;
    if ( slopem1<0 ) slopem1 = -slopem1;

    if ( slope1<slope && slope1<=slopem1 ) {
         /* Ok, things got better when we added 1. */
         /*  Do they improve further if we add 1 more? */
        temp = u1;
        temp.ival[index] += 1;
        slope = (3*(double) sp->a*temp.dval+2*sp->b)*temp.dval+sp->c;
        if ( slope<0 ) slope = -slope;
        if ( slope<slope1 )
return( temp.dval );
        else
return( u1.dval );
    } else if ( slopem1<slope && slopem1<=slope ) {
         /* Ok, things got better when we subtracted 1. */
         /*  Do they improve further if we subtract 1 more? */
        temp = um1;
        temp.ival[index] -= 1;
        slope = (3*(double) sp->a*temp.dval+2*sp->b)*temp.dval+sp->c;
        if ( slope<0 ) slope = -slope;
        if ( slope<slopem1 )
return( temp.dval );
        else
return( um1.dval );
    }
    /* that seems as good as it gets */

return( t );
}
#else
extended esqrt(extended e) {
    extended rt, temp;

    rt = sqrt( (double) e );
    if ( e<=0 )
return( rt );

    temp = e/rt;
    rt = (rt+temp)/2;
    temp = e/rt;
    rt = (rt+temp)/2;
return( rt );
}
#endif

static void _SplineFindExtrema(const Spline1D *sp, extended *_t1, extended *_t2 ) {
    extended t1= -1, t2= -1;
    extended b2_fourac;

    /* Find the extreme points on the curve */
    /*  Set to -1 if there are none or if they are outside the range [0,1] */
    /*  Order them so that t1<t2 */
    /*  If only one valid extremum it will be t1 */
    /*  (Does not check the end points unless they have derivative==0) */
    /*  (Does not check to see if d/dt==0 points are inflection points (rather than extrema) */
    if ( sp->a!=0 ) {
        /* cubic, possibly 2 extrema (possibly none) */
        b2_fourac = 4*(extended)sp->b*sp->b - 12*(extended)sp->a*sp->c;
        if ( b2_fourac>=0 ) {
            b2_fourac = esqrt(b2_fourac);
            t1 = (-2*sp->b - b2_fourac) / (6*sp->a);
            t2 = (-2*sp->b + b2_fourac) / (6*sp->a);
            t1 = CheckExtremaForSingleBitErrors(sp,t1);
            t2 = CheckExtremaForSingleBitErrors(sp,t2);
            if ( t1>t2 ) { extended temp = t1; t1 = t2; t2 = temp; }
            else if ( t1==t2 ) t2 = -1;
            if ( RealNear(t1,0)) t1=0; else if ( RealNear(t1,1)) t1=1;
            if ( RealNear(t2,0)) t2=0; else if ( RealNear(t2,1)) t2=1;
        }
    } else if ( sp->b!=0 ) {
        /* Quadratic, at most one extremum */
        t1 = -sp->c/(2.0*(extended) sp->b);
    } else /*if ( sp->c!=0 )*/ {
        /* linear, no extrema */
    }
    *_t1 = t1; *_t2 = t2;
}

void SplineFindExtrema(const Spline1D *sp, extended *_t1, extended *_t2 ) {
    extended t1= -1, t2= -1;
    extended b2_fourac;

    /* Find the extreme points on the curve */
    /*  Set to -1 if there are none or if they are outside the range [0,1] */
    /*  Order them so that t1<t2 */
    /*  If only one valid extremum it will be t1 */
    /*  (Does not check the end points unless they have derivative==0) */
    /*  (Does not check to see if d/dt==0 points are inflection points (rather than extrema) */
    if ( sp->a!=0 ) {
        /* cubic, possibly 2 extrema (possibly none) */
        b2_fourac = 4*(extended) sp->b*sp->b - 12*(extended) sp->a*sp->c;
        if ( b2_fourac>=0 ) {
            b2_fourac = esqrt(b2_fourac);
            t1 = (-2*sp->b - b2_fourac) / (6*sp->a);
            t2 = (-2*sp->b + b2_fourac) / (6*sp->a);
            t1 = CheckExtremaForSingleBitErrors(sp,t1);
            t2 = CheckExtremaForSingleBitErrors(sp,t2);
            if ( t1>t2 ) { extended temp = t1; t1 = t2; t2 = temp; }
            else if ( t1==t2 ) t2 = -1;
            if ( RealNear(t1,0)) t1=0; else if ( RealNear(t1,1)) t1=1;
            if ( RealNear(t2,0)) t2=0; else if ( RealNear(t2,1)) t2=1;
            if ( t2<=0 || t2>=1 ) t2 = -1;
            if ( t1<=0 || t1>=1 ) { t1 = t2; t2 = -1; }
        }
    } else if ( sp->b!=0 ) {
        /* Quadratic, at most one extremum */
        t1 = -sp->c/(2.0*(extended) sp->b);
        if ( t1<=0 || t1>=1 ) t1 = -1;
    } else /*if ( sp->c!=0 )*/ {
        /* linear, no extrema */
    }
    *_t1 = t1; *_t2 = t2;
}

double SplineCurvature(Spline *s, double t) {
        /* Kappa = (x'y'' - y'x'') / (x'^2 + y'^2)^(3/2) */
    double dxdt, dydt, d2xdt2, d2ydt2, denom, numer;

    if ( s==NULL )
return( CURVATURE_ERROR );

    dxdt = (3*s->splines[0].a*t+2*s->splines[0].b)*t+s->splines[0].c;
    dydt = (3*s->splines[1].a*t+2*s->splines[1].b)*t+s->splines[1].c;
    d2xdt2 = 6*s->splines[0].a*t + 2*s->splines[0].b;
    d2ydt2 = 6*s->splines[1].a*t + 2*s->splines[1].b;
    denom = pow( dxdt*dxdt + dydt*dydt, 3.0/2.0 );
    numer = dxdt*d2ydt2 - dydt*d2xdt2;

    if ( numer==0 )
return( 0 );
    if ( denom==0 )
return( CURVATURE_ERROR );

return( numer/denom );
}

int SplineAtInflection(Spline1D *sp, double t ) {
    /* It's a point of inflection if d sp/dt==0 and d2 sp/dt^2==0 */
return ( RealNear( (3*sp->a*t + 2*sp->b)*t + sp->c,0) &&
            RealNear( 6*sp->a*t + 2*sp->b, 0));
}

int SplineAtMinMax(Spline1D *sp, double t ) {
    /* It's a point of inflection if d sp/dt==0 and d2 sp/dt^2!=0 */
return ( RealNear( (3*sp->a*t + 2*sp->b)*t + sp->c,0) &&
            !RealNear( 6*sp->a*t + 2*sp->b, 0));
}

int Spline2DFindExtrema(const Spline *sp, extended extrema[4] ) {
    int i,j;
    BasePoint last, cur, mid;

    SplineFindExtrema(&sp->splines[0],&extrema[0],&extrema[1]);
    SplineFindExtrema(&sp->splines[1],&extrema[2],&extrema[3]);

    for ( i=0; i<3; ++i ) for ( j=i+1; j<4; ++j ) {
        if ( (extrema[i]==-1 && extrema[j]!=-1) || (extrema[i]>extrema[j] && extrema[j]!=-1) ) {
            extended temp = extrema[i];
            extrema[i] = extrema[j];
            extrema[j] = temp;
        }
    }
    for ( i=j=0; i<3 && extrema[i]!=-1; ++i ) {
        if ( extrema[i]==extrema[i+1] ) {
            for ( j=i+1; j<3; ++j )
                extrema[j] = extrema[j+1];
            extrema[3] = -1;
        }
    }

    /* Extrema which are too close together are not interesting */
    last = sp->from->me;
    for ( i=0; i<4 && extrema[i]!=-1; ++i ) {
        cur.x = ((sp->splines[0].a*extrema[i]+sp->splines[0].b)*extrema[i]+
                sp->splines[0].c)*extrema[i]+sp->splines[0].d;
        cur.y = ((sp->splines[1].a*extrema[i]+sp->splines[1].b)*extrema[i]+
                sp->splines[1].c)*extrema[i]+sp->splines[1].d;
        mid.x = (last.x+cur.x)/2; mid.y = (last.y+cur.y)/2;
        if ( (mid.x==last.x || mid.x==cur.x) &&
                (mid.y==last.y || mid.y==cur.y)) {
            for ( j=i+1; j<3; ++j )
                extrema[j] = extrema[j+1]; 
        } else
            last = cur;
    }
    for ( i=0; i<4 && extrema[i]!=-1; ++i );
    if ( i!=0 ) {
        cur = sp->to->me;
        mid.x = (last.x+cur.x)/2; mid.y = (last.y+cur.y)/2;
        if ( (mid.x==last.x || mid.x==cur.x) &&
                (mid.y==last.y || mid.y==cur.y))
            extrema[--i] = -1;
    }

return( i );
}

int Spline2DFindPointsOfInflection(const Spline *sp, extended poi[2] ) {
    int cnt=0;
    extended a, b, c, b2_fourac, t;
    /* A POI happens when d2 y/dx2 is zero. This is not the same as d2y/dt2 / d2x/dt2 */
    /* d2 y/dx^2 = d/dt ( dy/dt / dx/dt ) / dx/dt */
    /*           = ( (dx/dt) * d2 y/dt2 - ((dy/dt) * d2 x/dt2) )/ (dx/dt)^3 */
    /* (3ax*t^2+2bx*t+cx) * (6ay*t+2by) - (3ay*t^2+2by*t+cy) * (6ax*t+2bx) == 0 */
    /* (3ax*t^2+2bx*t+cx) * (3ay*t+by) - (3ay*t^2+2by*t+cy) * (3ax*t+bx) == 0 */
    /*   9*ax*ay*t^3 + (3ax*by+6bx*ay)*t^2 + (2bx*by+3cx*ay)*t + cx*by     */
    /* -(9*ax*ay*t^3 + (3ay*bx+6by*ax)*t^2 + (2by*bx+3cy*ax)*t + cy*bx)==0 */
    /* 3*(ax*by-ay*bx)*t^2 + 3*(cx*ay-cy*ax)*t+ (cx*by-cy*bx) == 0         */

    a = 3*((extended) sp->splines[1].a*sp->splines[0].b-(extended) sp->splines[0].a*sp->splines[1].b);
    b = 3*((extended) sp->splines[0].c*sp->splines[1].a - (extended) sp->splines[1].c*sp->splines[0].a);
    c = (extended) sp->splines[0].c*sp->splines[1].b-(extended) sp->splines[1].c*sp->splines[0].b;
    if ( !RealNear(a,0) ) {
        b2_fourac = b*b - 4*a*c;
        poi[0] = poi[1] = -1;
        if ( b2_fourac<0 )
return( 0 );
        b2_fourac = esqrt( b2_fourac );
        t = (-b+b2_fourac)/(2*a);
        if ( t>=0 && t<=1.0 )
            poi[cnt++] = t;
        t = (-b-b2_fourac)/(2*a);
        if ( t>=0 && t<=1.0 ) {
            if ( cnt==1 && poi[0]>t ) {
                poi[1] = poi[0];
                poi[0] = t;
                ++cnt;
            } else
                poi[cnt++] = t;
        }
    } else if ( !RealNear(b,0) ) {
        t = -c/b;
        if ( t>=0 && t<=1.0 )
            poi[cnt++] = t;
    }
    if ( cnt<2 )
        poi[cnt] = -1;

return( cnt );
}

/* Ok, if the above routine finds an extremum that less than 1 unit */
/*  from an endpoint or another extremum, then many things are */
/*  just going to skip over it, and other things will be confused by this */
/*  so just remove it. It should be so close the difference won't matter */
void SplineRemoveExtremaTooClose(Spline1D *sp, extended *_t1, extended *_t2 ) {
    extended last, test;
    extended t1= *_t1, t2 = *_t2;

    if ( t1>t2 && t2!=-1 ) {
        t1 = t2;
        t2 = *_t1;
    }
    last = sp->d;
    if ( t1!=-1 ) {
        test = ((sp->a*t1+sp->b)*t1+sp->c)*t1+sp->d;
        if ( (test-last)*(test-last)<1 )
            t1 = -1;
        else
            last = test;
    }
    if ( t2!=-1 ) {
        test = ((sp->a*t2+sp->b)*t2+sp->c)*t2+sp->d;
        if ( (test-last)*(test-last)<1 )
            t2 = -1;
        else
            last = test;
    }
    test = sp->a+sp->b+sp->c+sp->d;
    if ( (test-last)*(test-last)<1 ) {
        if ( t2!=-1 )
            t2 = -1;
        else if ( t1!=-1 )
            t1 = -1;
        else {
            /* Well we should just remove the whole spline? */;
        }
    }
    *_t1 = t1; *_t2 = t2;
}

int SplineSolveFull(const Spline1D *sp,extended val, extended ts[3]) {
    Spline1D temp;

    temp = *sp;
    temp.d -= val;
    CubicSolve(&temp,ts);
return( ts[0]!=-1 );
}

static int AddPoint(extended x,extended y,extended t,extended s,BasePoint *pts,
        extended t1s[3],extended t2s[3], int soln) {
    int i;

    for ( i=0; i<soln; ++i )
        if ( x==pts[i].x && y==pts[i].y )
return( soln );
    if ( soln>=9 )
        IError( "Too many solutions!\n" );
    t1s[soln] = t;
    t2s[soln] = s;
    pts[soln].x = x;
    pts[soln].y = y;
return( soln+1 );
}

static void IterateSolve(const Spline1D *sp,extended ts[3]) {
    /* The closed form solution has too many rounding errors for my taste... */
    int i,j;

    ts[0] = ts[1] = ts[2] = -1;

    if ( sp->a!=0 ) {
        extended e[4];
        e[0] = 0; e[1] = e[2] = e[3] = 1.0;
        SplineFindExtrema(sp,&e[1],&e[2]);
        if ( e[1]==-1 ) e[1] = 1;
        if ( e[2]==-1 ) e[2] = 1;
        for ( i=j=0; i<3; ++i ) {
            ts[j] = IterateSplineSolve(sp,e[i],e[i+1],0,.0001);
            if ( ts[j]!=-1 ) ++j;
            if ( e[i+1]==1.0 )
        break;
        }
    } else if ( sp->b!=0 ) {
        extended b2_4ac = sp->c*(extended) sp->c - 4*sp->b*(extended) sp->d;
        if ( b2_4ac>=0 ) {
            b2_4ac = esqrt(b2_4ac);
            ts[0] = (-sp->c-b2_4ac)/(2*sp->b);
            ts[1] = (-sp->c+b2_4ac)/(2*sp->b);
            if ( ts[0]>ts[1] ) { bigreal t = ts[0]; ts[0] = ts[1]; ts[1] = t; }
        }
    } else if ( sp->c!=0 ) {
        ts[0] = -sp->d/(extended) sp->c;
    } else {
        /* No solutions, or all solutions */;
    }
    for ( i=j=0; i<3; ++i )
        if ( ts[i]>=0 && ts[i]<=1 )
            ts[j++] = ts[i];
    for ( i=0; i<j-1; ++i )
        if ( ts[i]+.0000001>ts[i+1]) {
            ts[i] = (ts[i]+ts[i+1])/2;
            --j;
            for ( ++i; i<j; ++i )
                ts[i] = ts[i+1];
        }
    if ( j!=0 ) {
        if ( ts[0]!=0 ) {
            extended d0 = sp->d;
            extended dt = ((sp->a*ts[0]+sp->b)*ts[0]+sp->c)*ts[0]+sp->d;
            if ( d0<0 ) d0=-d0;
            if ( dt<0 ) dt=-dt;
            if ( d0<dt )
                ts[0] = 0;
        }
        if ( ts[j-1]!=1.0 ) {
            extended d1 = sp->a+(extended) sp->b+sp->c+sp->d;
            extended dt = ((sp->a*ts[j-1]+sp->b)*ts[j-1]+sp->c)*ts[j-1]+sp->d;
            if ( d1<0 ) d1=-d1;
            if ( dt<0 ) dt=-dt;
            if ( d1<dt )
                ts[j-1] = 1;
        }
    }
    for ( ; j<3; ++j )
        ts[j] = -1;
}

static extended ISolveWithin(const Spline1D *sp,extended val,extended tlow, extended thigh) {
    Spline1D temp;
    extended ts[3];
    int i;

    temp = *sp;
    temp.d -= val;
    IterateSolve(&temp,ts);
    if ( tlow<thigh ) {
        for ( i=0; i<3; ++i )
            if ( ts[i]>=tlow && ts[i]<=thigh )
return( ts[i] );
        for ( i=0; i<3; ++i ) {
            if ( ts[i]>=tlow-1./1024. && ts[i]<=tlow )
return( tlow );
            if ( ts[i]>=thigh && ts[i]<=thigh+1./1024 )
return( thigh );
        }
    } else {
        for ( i=0; i<3; ++i )
            if ( ts[i]>=thigh && ts[i]<=tlow )
return( ts[i] );
        for ( i=0; i<3; ++i ) {
            if ( ts[i]>=thigh-1./1024. && ts[i]<=thigh )
return( thigh );
            if ( ts[i]>=tlow && ts[i]<=tlow+1./1024 )
return( tlow );
        }
    }
return( -1 );
}

static int ICAddInter(int cnt,BasePoint *foundpos,extended *foundt1,extended *foundt2,
        const Spline *s1,const Spline *s2,extended t1,extended t2, int maxcnt) {
    (void)s2;
    if ( cnt>=maxcnt )
return( cnt );

    foundt1[cnt] = t1;
    foundt2[cnt] = t2;
    foundpos[cnt].x = ((s1->splines[0].a*t1+s1->splines[0].b)*t1+
                        s1->splines[0].c)*t1+s1->splines[0].d;
    foundpos[cnt].y = ((s1->splines[1].a*t1+s1->splines[1].b)*t1+
                        s1->splines[1].c)*t1+s1->splines[1].d;
return( cnt+1 );
}

static int ICBinarySearch(int cnt,BasePoint *foundpos,extended *foundt1,extended *foundt2,
        int other,
        const Spline *s1,const Spline *s2,extended t1low,extended t1high,extended t2low,extended t2high,
        int maxcnt) {
    int major;
    extended t1, t2;
    extended o1o, o2o, o1n, o2n, m;

    major = !other;
    o1o = ((s1->splines[other].a*t1low+s1->splines[other].b)*t1low+
                    s1->splines[other].c)*t1low+s1->splines[other].d;
    o2o = ((s2->splines[other].a*t2low+s2->splines[other].b)*t2low+
                    s2->splines[other].c)*t2low+s2->splines[other].d;
    forever {
        t1 = (t1low+t1high)/2;
        m = ((s1->splines[major].a*t1+s1->splines[major].b)*t1+
                        s1->splines[major].c)*t1+s1->splines[major].d;
        t2 = ISolveWithin(&s2->splines[major],m,t2low,t2high);
        if ( t2==-1 )
return( cnt );

        o1n = ((s1->splines[other].a*t1+s1->splines[other].b)*t1+
                        s1->splines[other].c)*t1+s1->splines[other].d;
        o2n = ((s2->splines[other].a*t2+s2->splines[other].b)*t2+
                        s2->splines[other].c)*t2+s2->splines[other].d;
        if (( o1n-o2n<.001 && o1n-o2n>-.001) ||
                (t1-t1low<.0001 && t1-t1low>-.0001))
return( ICAddInter(cnt,foundpos,foundt1,foundt2,s1,s2,t1,t2,maxcnt));
        if ( (o1o>o2o && o1n<o2n) || (o1o<o2o && o1n>o2n)) {
            t1high = t1;
            t2high = t2;
        } else {
            t1low = t1;
            t2low = t2;
        }
    }
}

static int CubicsIntersect(const Spline *s1,extended lowt1,extended hight1,BasePoint *min1,BasePoint *max1,
                            const Spline *s2,extended lowt2,extended hight2,BasePoint *min2,BasePoint *max2,
                            BasePoint *foundpos,extended *foundt1,extended *foundt2,
                            int maxcnt) {
    int major, other;
    BasePoint max, min;
    extended t1max, t1min, t2max, t2min, t1, t2, t1diff, oldt2;
    extended o1o, o2o, o1n, o2n, m;
    int cnt=0;

    if ( (min.x = min1->x)<min2->x ) min.x = min2->x;
    if ( (min.y = min1->y)<min2->y ) min.y = min2->y;
    if ( (max.x = max1->x)>max2->x ) max.x = max2->x;
    if ( (max.y = max1->y)>max2->y ) max.y = max2->y;
    if ( max.x<min.x || max.y<min.y )
return( 0 );
    if ( max.x-min.x > max.y-min.y )
        major = 0;
    else
        major = 1;
    other = 1-major;

    t1max = ISolveWithin(&s1->splines[major],(&max.x)[major],lowt1,hight1);
    t1min = ISolveWithin(&s1->splines[major],(&min.x)[major],lowt1,hight1);
    t2max = ISolveWithin(&s2->splines[major],(&max.x)[major],lowt2,hight2);
    t2min = ISolveWithin(&s2->splines[major],(&min.x)[major],lowt2,hight2);
    if ( t1max==-1 || t1min==-1 || t2max==-1 || t1min==-1 )
return( 0 );
    t1diff = (t1max-t1min)/64.0;
    if ( t1diff==0 )
return( 0 );

    t1 = t1min; t2 = t2min;
    o1o = ((s1->splines[other].a*t1+s1->splines[other].b)*t1+
                    s1->splines[other].c)*t1+s1->splines[other].d;
    o2o = ((s2->splines[other].a*t2+s2->splines[other].b)*t2+
                    s2->splines[other].c)*t2+s2->splines[other].d;
    if ( o1o==o2o )
        cnt = ICAddInter(cnt,foundpos,foundt1,foundt2,s1,s2,t1,t2,maxcnt);
    forever {
        if ( cnt>=maxcnt )
    break;
        t1 += t1diff;
        if (( t1max>t1min && t1>t1max ) || (t1max<t1min && t1<t1max) || cnt>3 )
    break;
        m = ((s1->splines[major].a*t1+s1->splines[major].b)*t1+
                        s1->splines[major].c)*t1+s1->splines[major].d;
        oldt2 = t2;
        t2 = ISolveWithin(&s2->splines[major],m,lowt2,hight2);
        if ( t2==-1 )
    continue;

        o1n = ((s1->splines[other].a*t1+s1->splines[other].b)*t1+
                        s1->splines[other].c)*t1+s1->splines[other].d;
        o2n = ((s2->splines[other].a*t2+s2->splines[other].b)*t2+
                        s2->splines[other].c)*t2+s2->splines[other].d;
        if ( o1n==o2n )
            cnt = ICAddInter(cnt,foundpos,foundt1,foundt2,s1,s2,t1,t2,maxcnt);
        if ( (o1o>o2o && o1n<o2n) || (o1o<o2o && o1n>o2n))
            cnt = ICBinarySearch(cnt,foundpos,foundt1,foundt2,other,
                    s1,s2,t1-t1diff,t1,oldt2,t2,maxcnt);
        o1o = o1n; o2o = o2n;
    }
return( cnt );
}

static int Closer(const Spline *s1,const Spline *s2,extended t1,extended t2,extended t1p,extended t2p) {
    double x1 = ((s1->splines[0].a*t1+s1->splines[0].b)*t1+s1->splines[0].c)*t1+s1->splines[0].c;
    double y1 = ((s1->splines[1].a*t1+s1->splines[1].b)*t1+s1->splines[1].c)*t1+s1->splines[1].c;
    double x2 = ((s2->splines[0].a*t2+s2->splines[0].b)*t2+s2->splines[0].c)*t2+s2->splines[0].c;
    double y2 = ((s2->splines[1].a*t2+s2->splines[1].b)*t2+s2->splines[1].c)*t2+s2->splines[1].c;
    double diff = abs(x1-x2) + abs(y1-y2);
    double x1p = ((s1->splines[0].a*t1p+s1->splines[0].b)*t1p+s1->splines[0].c)*t1p+s1->splines[0].c;
    double y1p = ((s1->splines[1].a*t1p+s1->splines[1].b)*t1p+s1->splines[1].c)*t1p+s1->splines[1].c;
    double x2p = ((s2->splines[0].a*t2p+s2->splines[0].b)*t2p+s2->splines[0].c)*t2p+s2->splines[0].c;
    double y2p = ((s2->splines[1].a*t2p+s2->splines[1].b)*t2p+s2->splines[1].c)*t2p+s2->splines[1].c;
    double diffp = abs(x1p-x2p) + abs(y1p-y2p);

    if ( diff<diffp )
return( false );

return( true );
}
    
/* returns 0=>no intersection, 1=>at least one, location in pts, t1s, t2s */
/*  -1 => We couldn't figure it out in a closed form, have to do a numerical */
/*  approximation */
int SplinesIntersect(const Spline *s1, const Spline *s2, BasePoint pts[9],
        extended t1s[10], extended t2s[10]) {   /* One extra for a trailing -1 */
    BasePoint min1, max1, min2, max2;
    int soln = 0;
    extended x,y,t, ac0, ac1;
    int i,j,found;
    Spline1D spline;
    extended tempts[4]; /* 3 solns for cubics, 4 for quartics */
    extended extrema1[6], extrema2[6];
    int ecnt1, ecnt2;

    t1s[0] = t1s[1] = t1s[2] = t1s[3] = -1;
    t2s[0] = t2s[1] = t2s[2] = t2s[3] = -1;

    if ( s1==s2 && !s1->knownlinear && !s1->isquadratic )
        /* Special case see if it doubles back on itself anywhere */;
    else if ( s1==s2 )
return( 0 );                    /* Linear and quadratics can't double back, can't self-intersect */
    else if ( s1->splines[0].a == s2->splines[0].a &&
            s1->splines[0].b == s2->splines[0].b &&
            s1->splines[0].c == s2->splines[0].c &&
            s1->splines[0].d == s2->splines[0].d &&
            s1->splines[1].a == s2->splines[1].a &&
            s1->splines[1].b == s2->splines[1].b &&
            s1->splines[1].c == s2->splines[1].c &&
            s1->splines[1].d == s2->splines[1].d )
return( -1 );                   /* Same spline. Intersects everywhere */

    /* Ignore splines which are just a point */
    if ( s1->knownlinear && s1->splines[0].c==0 && s1->splines[1].c==0 )
return( 0 );
    if ( s2->knownlinear && s2->splines[0].c==0 && s2->splines[1].c==0 )
return( 0 );

    if ( s1->knownlinear )
        /* Do Nothing */;
    else if ( s2->knownlinear || (!s1->isquadratic && s2->isquadratic)) {
        const Spline *stemp = s1;
        extended *ts = t1s;
        t1s = t2s; t2s = ts;
        s1 = s2; s2 = stemp;
    }

    min1 = s1->from->me; max1 = min1;
    min2 = s2->from->me; max2 = min2;
    if ( s1->from->nextcp.x>max1.x ) max1.x = s1->from->nextcp.x;
    else if ( s1->from->nextcp.x<min1.x ) min1.x = s1->from->nextcp.x;
    if ( s1->from->nextcp.y>max1.y ) max1.y = s1->from->nextcp.y;
    else if ( s1->from->nextcp.y<min1.y ) min1.y = s1->from->nextcp.y;
    if ( s1->to->prevcp.x>max1.x ) max1.x = s1->to->prevcp.x;
    else if ( s1->to->prevcp.x<min1.x ) min1.x = s1->to->prevcp.x;
    if ( s1->to->prevcp.y>max1.y ) max1.y = s1->to->prevcp.y;
    else if ( s1->to->prevcp.y<min1.y ) min1.y = s1->to->prevcp.y;
    if ( s1->to->me.x>max1.x ) max1.x = s1->to->me.x;
    else if ( s1->to->me.x<min1.x ) min1.x = s1->to->me.x;
    if ( s1->to->me.y>max1.y ) max1.y = s1->to->me.y;
    else if ( s1->to->me.y<min1.y ) min1.y = s1->to->me.y;

    if ( s2->from->nextcp.x>max2.x ) max2.x = s2->from->nextcp.x;
    else if ( s2->from->nextcp.x<min2.x ) min2.x = s2->from->nextcp.x;
    if ( s2->from->nextcp.y>max2.y ) max2.y = s2->from->nextcp.y;
    else if ( s2->from->nextcp.y<min2.y ) min2.y = s2->from->nextcp.y;
    if ( s2->to->prevcp.x>max2.x ) max2.x = s2->to->prevcp.x;
    else if ( s2->to->prevcp.x<min2.x ) min2.x = s2->to->prevcp.x;
    if ( s2->to->prevcp.y>max2.y ) max2.y = s2->to->prevcp.y;
    else if ( s2->to->prevcp.y<min2.y ) min2.y = s2->to->prevcp.y;
    if ( s2->to->me.x>max2.x ) max2.x = s2->to->me.x;
    else if ( s2->to->me.x<min2.x ) min2.x = s2->to->me.x;
    if ( s2->to->me.y>max2.y ) max2.y = s2->to->me.y;
    else if ( s2->to->me.y<min2.y ) min2.y = s2->to->me.y;
    if ( min1.x>max2.x || min2.x>max1.x || min1.y>max2.y || min2.y>max1.y )
return( false );                /* no intersection of bounding boxes */

#if 0
    soln = CheckEndpoint(&s1->from->me,s2,0,pts,t1s,t2s,soln);
    soln = CheckEndpoint(&s1->to->me,s2,1,pts,t1s,t2s,soln);
    soln = CheckEndpoint(&s2->from->me,s1,0,pts,t2s,t1s,soln);
    soln = CheckEndpoint(&s2->to->me,s1,1,pts,t2s,t1s,soln);
#endif

    if ( s1->knownlinear ) {
        spline.d = s1->splines[1].c*((bigreal) s2->splines[0].d-(bigreal) s1->splines[0].d)-
                s1->splines[0].c*((bigreal) s2->splines[1].d-(bigreal) s1->splines[1].d);
        spline.c = s1->splines[1].c*(bigreal) s2->splines[0].c - s1->splines[0].c*(bigreal) s2->splines[1].c;
        spline.b = s1->splines[1].c*(bigreal) s2->splines[0].b - s1->splines[0].c*(bigreal) s2->splines[1].b;
        spline.a = s1->splines[1].c*(bigreal) s2->splines[0].a - s1->splines[0].c*(bigreal) s2->splines[1].a;
        IterateSolve(&spline,tempts);
        if ( tempts[0]==-1 )
return( false );
        for ( i = 0; i<3 && tempts[i]!=-1; ++i ) {
            x = ((s2->splines[0].a*tempts[i]+s2->splines[0].b)*tempts[i]+
                    s2->splines[0].c)*tempts[i]+s2->splines[0].d;
            y = ((s2->splines[1].a*tempts[i]+s2->splines[1].b)*tempts[i]+
                    s2->splines[1].c)*tempts[i]+s2->splines[1].d;
            if ( (ac0 = s1->splines[0].c)<0 ) ac0 = -ac0;
            if ( (ac1 = s1->splines[1].c)<0 ) ac1 = -ac1;
            if ( ac0>ac1 )
                t = (x-s1->splines[0].d)/s1->splines[0].c;
            else
                t = (y-s1->splines[1].d)/s1->splines[1].c;
            if ( tempts[i]>.999 && Closer(s1,s2,tempts[i],t,1,t))
                tempts[i] = 1;
            else if ( tempts[i]<.001 && Closer(s1,s2,tempts[i],t,0,t))
                tempts[i] = 0;
            if ( t>.999 && Closer(s1,s2,tempts[i],t,tempts[i],1))
                t = 1;
            else if ( t<.001 && Closer(s1,s2,tempts[i],t,tempts[i],0))
                t = 0;
            if ( t<-.001 || t>1.001 || x<min1.x-.01 || y<min1.y-.01 || x>max1.x+.01 || y>max1.y+.01 )
        continue;
            if ( t<=0 ) {t=0; x=s1->from->me.x; y = s1->from->me.y; }
            else if ( t>=1 ) { t=1; x=s1->to->me.x; y = s1->to->me.y; }
            if ( s1->from->me.x==s1->to->me.x )         /* Avoid rounding errors */
                x = s1->from->me.x;                     /* on hor/vert lines */
            else if ( s1->from->me.y==s1->to->me.y )
                y = s1->from->me.y;
            if ( s2->knownlinear ) {
                if ( s2->from->me.x==s2->to->me.x )
                    x = s2->from->me.x;
                else if ( s2->from->me.y==s2->to->me.y )
                    y = s2->from->me.y;
            }
            soln = AddPoint(x,y,t,tempts[i],pts,t1s,t2s,soln);
        }
return( soln!=0 );
#if 0           /* This doesn't work. */
    } else if ( s1->isquadratic && s2->isquadratic ) {
        temp.a = 0;
        temp.b = s1->splines[1].b*s2->splines[0].b - s1->splines[0].b*s2->splines[1].b;
        temp.c = s1->splines[1].b*s2->splines[0].c - s1->splines[0].b*s2->splines[1].c;
        temp.d = s1->splines[1].b*(s2->splines[0].d-s1->splines[0].d) -
                 s1->splines[0].b*(s2->splines[1].d-s1->splines[1].d);
        d = s1->splines[1].b*s1->splines[0].c - s1->splines[0].b*s1->splines[1].c;
        if ( RealNear(d,0)) d=0;
        if ( d!=0 ) {
            temp.b /= d; temp.c /= d; temp.d /= d;
            /* At this point t= temp.b*s^2 + temp.c*s + temp.d */
            /* We substitute this back into one of our equations and get a */
            /*  quartic in s */
            quad.a = s1->splines[0].b*temp.b*temp.b;
            quad.b = s1->splines[0].b*2*temp.b*temp.c;
            quad.c = s1->splines[0].b*(2*temp.b*temp.d+temp.c*temp.c);
            quad.d = s1->splines[0].b*2*temp.d*temp.c;
            quad.e = s1->splines[0].b*temp.d*temp.d;
            quad.b+= s1->splines[0].c*temp.b;
            quad.c+= s1->splines[0].c*temp.c;
            quad.d+= s1->splines[0].c*temp.d;
            quad.e+= s1->splines[0].d;
            quad.e-= s2->splines[0].d;
            quad.d-= s2->splines[0].c;
            quad.c-= s2->splines[0].b;
            if ( QuarticSolve(&quad,tempts)==-1 )
return( -1 );
            for ( i=0; i<4 && tempts[i]!=-999999; ++i )
                soln = AddQuadraticSoln(tempts[i],s1,s2,pts,t1s,t2s,soln);
        } else {
            d = temp.c*temp.c-4*temp.b*temp.c;
            if ( RealNear(d,0)) d = 0;
            if ( d<0 )
return( soln!=0 );
            d = sqrt(d);
            s = (-temp.c-d)/(2*temp.b);
            soln = AddQuadraticSoln(s,s1,s2,pts,t1s,t2s,soln);
            s = (-temp.c+d)/(2*temp.b);
            soln = AddQuadraticSoln(s,s1,s2,pts,t1s,t2s,soln);
        }
return( soln!=0 );
#endif
    }
    /* if one of the splines is quadratic then we can get an expression */
    /*  relating c*t+d to poly(s^3), and substituting this back we get */
    /*  a poly of degree 6 in s which could be solved iteratively */
    /* however mixed quadratics and cubics are unlikely */

    /* but if both splines are degree 3, the t is expressed as the sqrt of */
    /*  a third degree poly, which must be substituted into a cubic, and */
    /*  then squared to get rid of the sqrts leaving us with an ?18? degree */
    /*  poly. Ick. */

    /* So let's do it the hard way... we break the splines into little bits */
    /*  where they are monotonic in both dimensions, then check these for */
    /*  possible intersections */
    extrema1[0] = extrema2[0] = 0;
    ecnt1 = Spline2DFindExtrema(s1,extrema1+1);
    ecnt2 = Spline2DFindExtrema(s2,extrema2+1);
    extrema1[++ecnt1] = 1.0;
    extrema2[++ecnt2] = 1.0;
    found=0;
    for ( i=0; i<ecnt1; ++i ) {
        min1.x = ((s1->splines[0].a*extrema1[i]+s1->splines[0].b)*extrema1[i]+
                s1->splines[0].c)*extrema1[i]+s1->splines[0].d;
        min1.y = ((s1->splines[1].a*extrema1[i]+s1->splines[1].b)*extrema1[i]+
                s1->splines[1].c)*extrema1[i]+s1->splines[1].d;
        max1.x = ((s1->splines[0].a*extrema1[i+1]+s1->splines[0].b)*extrema1[i+1]+
                s1->splines[0].c)*extrema1[i+1]+s1->splines[0].d;
        max1.y = ((s1->splines[1].a*extrema1[i+1]+s1->splines[1].b)*extrema1[i+1]+
                s1->splines[1].c)*extrema1[i+1]+s1->splines[1].d;
        if ( max1.x<min1.x ) { extended temp = max1.x; max1.x = min1.x; min1.x = temp; }
        if ( max1.y<min1.y ) { extended temp = max1.y; max1.y = min1.y; min1.y = temp; }
        for ( j=(s1==s2)?i+1:0; j<ecnt2; ++j ) {
            min2.x = ((s2->splines[0].a*extrema2[j]+s2->splines[0].b)*extrema2[j]+
                    s2->splines[0].c)*extrema2[j]+s2->splines[0].d;
            min2.y = ((s2->splines[1].a*extrema2[j]+s2->splines[1].b)*extrema2[j]+
                    s2->splines[1].c)*extrema2[j]+s2->splines[1].d;
            max2.x = ((s2->splines[0].a*extrema2[j+1]+s2->splines[0].b)*extrema2[j+1]+
                    s2->splines[0].c)*extrema2[j+1]+s2->splines[0].d;
            max2.y = ((s2->splines[1].a*extrema2[j+1]+s2->splines[1].b)*extrema2[j+1]+
                    s2->splines[1].c)*extrema2[j+1]+s2->splines[1].d;
            if ( max2.x<min2.x ) { extended temp = max2.x; max2.x = min2.x; min2.x = temp; }
            if ( max2.y<min2.y ) { extended temp = max2.y; max2.y = min2.y; min2.y = temp; }
            if ( min1.x>max2.x || min2.x>max1.x || min1.y>max2.y || min2.y>max1.y )
                /* No possible intersection */;
            else if ( s1!=s2 )
                found += CubicsIntersect(s1,extrema1[i],extrema1[i+1],&min1,&max1,
                                    s2,extrema2[j],extrema2[j+1],&min2,&max2,
                                    &pts[found],&t1s[found],&t2s[found],9-found);
            else {
                int k,l;
                int cnt = CubicsIntersect(s1,extrema1[i],extrema1[i+1],&min1,&max1,
                                    s2,extrema2[j],extrema2[j+1],&min2,&max2,
                                    &pts[found],&t1s[found],&t2s[found],9-found);
                for ( k=0; k<cnt; ++k ) {
                    if ( RealNear(t1s[found+k],t2s[found+k]) ) {
                        for ( l=k+1; l<cnt; ++l ) {
                            pts[found+l-1] = pts[found+l];
                            t1s[found+l-1] = t1s[found+l];
                            t2s[found+l-1] = t2s[found+l];
                        }
                        --cnt; --k;
                    }
                }
                found += cnt;
            }
            if ( found>=8 ) {
                /* If the splines are colinear then we might get an unbounded */
                /*  number of intersections */
        break;
            }
        }
    }
    t1s[found] = t2s[found] = -1;
return( found!=0 );
}

int SplineSetIntersect(SplineSet *spl, Spline **_spline, Spline **_spline2) {
    BasePoint pts[9];
    extended t1s[10], t2s[10];
    int found = false,i;
    SplineSet *test, *test2;
    Spline *spline, *spline2, *first, *first2;

    for ( test=spl; test!=NULL ; test=test->next ) {
        first = NULL;
        for ( spline = test->first->next; spline!=NULL && spline!=first; spline=spline->to->next ) {
            if ( first==NULL ) first = spline;
            for ( test2=test; test2!=NULL; test2=test2->next ) {
                first2 = test2==test && first!=spline ? first : NULL;
                for ( spline2=(test2==test)?spline : test2->first->next;
                        spline2!=NULL && spline2!=first2; spline2 = spline2->to->next ) {
                    if ( first2==NULL ) first2 = spline2;
                    if ( SplinesIntersect(spline,spline2,pts,t1s,t2s)) {
                        if ( spline->to->next!=spline2 && spline->from->prev!=spline2 )
                            found = true;
                        else for ( i=0; i<10 && t1s[i]!=-1; ++i ) {
                            if ( (t1s[i]<.9 && t1s[i]>.1) || (t2s[i]<.9 && t2s[i]>.1)) {
                                found = true;
                        break;
                            }
                        }
                        if ( found )
                break;
                    }
                }
                if ( found )
            break;
            }
            if ( found )
        break;
        }
        if ( found )
    break;
    }
    if ( found ) {
        *_spline = spline;
        *_spline2 = spline2;
    }
return( found );
}

void StemInfoFree(StemInfo *h) {
    HintInstance *hi, *n;

    for ( hi=h->where; hi!=NULL; hi=n ) {
        n = hi->next;
        chunkfree(hi,sizeof(HintInstance));
    }
    chunkfree(h,sizeof(StemInfo));
}

void StemInfosFree(StemInfo *h) {
    StemInfo *hnext;
    HintInstance *hi, *n;

    for ( ; h!=NULL; h = hnext ) {
        for ( hi=h->where; hi!=NULL; hi=n ) {
            n = hi->next;
            chunkfree(hi,sizeof(HintInstance));
        }
        hnext = h->next;
        chunkfree(h,sizeof(StemInfo));
    }
}

void DStemInfoFree(DStemInfo *h) {
    HintInstance *hi, *n;

    for ( hi=h->where; hi!=NULL; hi=n ) {
        n = hi->next;
        chunkfree(hi,sizeof(HintInstance));
    }
    chunkfree(h,sizeof(DStemInfo));
}

void DStemInfosFree(DStemInfo *h) {
    DStemInfo *hnext;
    HintInstance *hi, *n;

    for ( ; h!=NULL; h = hnext ) {
        for ( hi=h->where; hi!=NULL; hi=n ) {
            n = hi->next;
            chunkfree(hi,sizeof(HintInstance));
        }
        hnext = h->next;
        chunkfree(h,sizeof(DStemInfo));
    }
}

StemInfo *StemInfoCopy(StemInfo *h) {
    StemInfo *head=NULL, *last=NULL, *cur;
    HintInstance *hilast, *hicur, *hi;

    for ( ; h!=NULL; h = h->next ) {
        cur = chunkalloc(sizeof(StemInfo));
        *cur = *h;
        cur->next = NULL;
        if ( head==NULL )
            head = last = cur;
        else {
            last->next = cur;
            last = cur;
        }
        cur->where = hilast = NULL;
        for ( hi=h->where; hi!=NULL; hi=hi->next ) {
            hicur = chunkalloc(sizeof(StemInfo));
            *hicur = *hi;
            hicur->next = NULL;
            if ( hilast==NULL )
                cur->where = hilast = hicur;
            else {
                hilast->next = hicur;
                hilast = hicur;
            }
        }
    }
return( head );
}

DStemInfo *DStemInfoCopy(DStemInfo *h) {
    DStemInfo *head=NULL, *last=NULL, *cur;
    HintInstance *hilast, *hicur, *hi;

    for ( ; h!=NULL; h = h->next ) {
        cur = chunkalloc(sizeof(DStemInfo));
        *cur = *h;
        cur->next = NULL;
        if ( head==NULL )
            head = last = cur;
        else {
            last->next = cur;
            last = cur;
        }
        cur->where = hilast = NULL;
        for ( hi=h->where; hi!=NULL; hi=hi->next ) {
            hicur = chunkalloc(sizeof(StemInfo));
            *hicur = *hi;
            hicur->next = NULL;
            if ( hilast==NULL )
                cur->where = hilast = hicur;
            else {
                hilast->next = hicur;
                hilast = hicur;
            }
        }
    }
return( head );
}

MinimumDistance *MinimumDistanceCopy(MinimumDistance *md) {
    MinimumDistance *head=NULL, *last=NULL, *cur;

    for ( ; md!=NULL; md = md->next ) {
        cur = chunkalloc(sizeof(DStemInfo));
        *cur = *md;
        cur->next = NULL;
        if ( head==NULL )
            head = last = cur;
        else {
            last->next = cur;
            last = cur;
        }
    }
return( head );
}

void KernPairsFree(KernPair *kp) {
    KernPair *knext;
    for ( ; kp!=NULL; kp = knext ) {
        knext = kp->next;
        chunkfree(kp,sizeof(KernPair));
    }
}

static AnchorPoint *AnchorPointsRemoveName(AnchorPoint *alist,AnchorClass *an) {
    AnchorPoint *prev=NULL, *ap, *next;

    for ( ap=alist; ap!=NULL; ap=next ) {
        next = ap->next;
        if ( ap->anchor == an ) {
            if ( prev==NULL )
                alist = next;
            else
                prev->next = next;
            ap->next = NULL;
            AnchorPointsFree(ap);
            if ( an->type == act_mark || (an->type==act_mklg && ap->type==at_mark))
                next = NULL;    /* Only one instance of an anchor class in a glyph for mark to base anchors */
                                /*  Or for the mark glyphs of ligature classes */
                                /*  Mark to mark & cursive will (probably) have 2 occurances */
                                /*  and ligatures may have lots */
        } else
            prev = ap;
    }
return( alist );
}

static void SCRemoveAnchorClass(SplineChar *sc,AnchorClass *an) {
    Undoes *test;

    if ( sc==NULL )
return;
    sc->anchor = AnchorPointsRemoveName(sc->anchor,an);
    for ( test = sc->layers[ly_fore].undoes; test!=NULL; test=test->next )
        if ( test->undotype==ut_state || test->undotype==ut_tstate ||
                test->undotype==ut_statehint || test->undotype==ut_statename )
            test->u.state.anchor = AnchorPointsRemoveName(test->u.state.anchor,an);
    for ( test = sc->layers[ly_fore].redoes; test!=NULL; test=test->next )
        if ( test->undotype==ut_state || test->undotype==ut_tstate ||
                test->undotype==ut_statehint || test->undotype==ut_statename )
            test->u.state.anchor = AnchorPointsRemoveName(test->u.state.anchor,an);
}

void SFRemoveAnchorClass(SplineFont *sf,AnchorClass *an) {
    int i;
    AnchorClass *prev, *test;

    for ( i=0; i<sf->glyphcnt; ++i )
        SCRemoveAnchorClass(sf->glyphs[i],an);
    prev = NULL;
    for ( test=sf->anchor; test!=NULL; test=test->next ) {
        if ( test==an ) {
            if ( prev==NULL )
                sf->anchor = test->next;
            else
                prev->next = test->next;
            chunkfree(test,sizeof(AnchorClass));
    break;
        } else
            prev = test;
    }
}

AnchorPoint *APAnchorClassMerge(AnchorPoint *anchors,AnchorClass *into,AnchorClass *from) {
    AnchorPoint *api=NULL, *prev, *ap, *next;

    prev = NULL;
    for ( ap=anchors; ap!=NULL; ap=next ) {
        next = ap->next;
        if ( ap->anchor==from ) {
            for ( api=anchors; api!=NULL; api=api->next ) {
                if ( api->anchor==into &&
                        (api->type!=at_baselig || ap->type!=at_baselig || api->lig_index==ap->lig_index))
            break;
            }
            if ( api==NULL && into!=NULL ) {
                ap->anchor = into;
                prev = ap;
            } else {
                if ( prev==NULL )
                    anchors = next;
                else
                    prev->next = next;
                ap->next = NULL;
                AnchorPointsFree(ap);
            }
        } else
            prev = ap;
    }
return( anchors );
}

AnchorPoint *AnchorPointsCopy(AnchorPoint *alist) {
    AnchorPoint *head=NULL, *last=NULL, *ap;

    while ( alist!=NULL ) {
        ap = chunkalloc(sizeof(AnchorPoint));
        *ap = *alist;
        if ( head==NULL )
            head = ap;
        else
            last->next = ap;
        last = ap;
        alist = alist->next;
    }
return( head );
}

void AnchorPointsFree(AnchorPoint *ap) {
    AnchorPoint *anext;
    for ( ; ap!=NULL; ap = anext ) {
        anext = ap->next;
        chunkfree(ap,sizeof(AnchorPoint));
    }
}


void PSTFree(PST *pst) {
    PST *pnext;
    for ( ; pst!=NULL; pst = pnext ) {
        pnext = pst->next;
        if ( pst->type==pst_lcaret )
            free(pst->u.lcaret.carets);
        else if ( pst->type==pst_pair ) {
            free(pst->u.pair.paired);
            chunkfree(pst->u.pair.vr,sizeof(struct vr [2]));
        } else if ( pst->type!=pst_position ) {
            free(pst->u.subs.variant);
        } else if ( pst->type==pst_position ) {
        }
        chunkfree(pst,sizeof(PST));
    }
}

void FPSTRuleContentsFree(struct fpst_rule *r, enum fpossub_format format) {
    int j;

    switch ( format ) {
      case pst_glyphs:
        free(r->u.glyph.names);
        free(r->u.glyph.back);
        free(r->u.glyph.fore);
      break;
      case pst_class:
        free(r->u.class.nclasses);
        free(r->u.class.bclasses);
        free(r->u.class.fclasses);
      break;
      case pst_reversecoverage:
        free(r->u.rcoverage.replacements);
      case pst_coverage:
        for ( j=0 ; j<r->u.coverage.ncnt ; ++j )
            free(r->u.coverage.ncovers[j]);
        free(r->u.coverage.ncovers);
        for ( j=0 ; j<r->u.coverage.bcnt ; ++j )
            free(r->u.coverage.bcovers[j]);
        free(r->u.coverage.bcovers);
        for ( j=0 ; j<r->u.coverage.fcnt ; ++j )
            free(r->u.coverage.fcovers[j]);
        free(r->u.coverage.fcovers);
      break;
    default: 
      break;
    }
    free(r->lookups);
}

void FPSTRulesFree(struct fpst_rule *r, enum fpossub_format format, int rcnt) {
    int i;
    for ( i=0; i<rcnt; ++i )
        FPSTRuleContentsFree(&r[i],format);
    free(r);
}

static struct fpst_rule *RulesCopy(struct fpst_rule *from, int cnt,
        enum fpossub_format format ) {
    int i, j;
    struct fpst_rule *to, *f, *t;

    if ( cnt==0 )
return( NULL );

    to = gcalloc(cnt,sizeof(struct fpst_rule));
    for ( i=0; i<cnt; ++i ) {
        f = from+i; t = to+i;
        switch ( format ) {
          case pst_glyphs:
            t->u.glyph.names = copy(f->u.glyph.names);
            t->u.glyph.back = copy(f->u.glyph.back);
            t->u.glyph.fore = copy(f->u.glyph.fore);
          break;
          case pst_class:
            t->u.class.ncnt = f->u.class.ncnt;
            t->u.class.bcnt = f->u.class.bcnt;
            t->u.class.fcnt = f->u.class.fcnt;
            t->u.class.nclasses = galloc( f->u.class.ncnt*sizeof(uint16));
            memcpy(t->u.class.nclasses,f->u.class.nclasses,
                    f->u.class.ncnt*sizeof(uint16));
            if ( t->u.class.bcnt!=0 ) {
                t->u.class.bclasses = galloc( f->u.class.bcnt*sizeof(uint16));
                memcpy(t->u.class.bclasses,f->u.class.bclasses,
                        f->u.class.bcnt*sizeof(uint16));
            }
            if ( t->u.class.fcnt!=0 ) {
                t->u.class.fclasses = galloc( f->u.class.fcnt*sizeof(uint16));
                memcpy(t->u.class.fclasses,f->u.class.fclasses,
                        f->u.class.fcnt*sizeof(uint16));
            }
          break;
          case pst_reversecoverage:
            t->u.rcoverage.replacements = copy(f->u.rcoverage.replacements);
          case pst_coverage:
            t->u.coverage.ncnt = f->u.coverage.ncnt;
            t->u.coverage.bcnt = f->u.coverage.bcnt;
            t->u.coverage.fcnt = f->u.coverage.fcnt;
            t->u.coverage.ncovers = galloc( f->u.coverage.ncnt*sizeof(char *));
            for ( j=0; j<t->u.coverage.ncnt; ++j )
                t->u.coverage.ncovers[j] = copy(f->u.coverage.ncovers[j]);
            if ( t->u.coverage.bcnt!=0 ) {
                t->u.coverage.bcovers = galloc( f->u.coverage.bcnt*sizeof(char *));
                for ( j=0; j<t->u.coverage.bcnt; ++j )
                    t->u.coverage.bcovers[j] = copy(f->u.coverage.bcovers[j]);
            }
            if ( t->u.coverage.fcnt!=0 ) {
                t->u.coverage.fcovers = galloc( f->u.coverage.fcnt*sizeof(char *));
                for ( j=0; j<t->u.coverage.fcnt; ++j )
                    t->u.coverage.fcovers[j] = copy(f->u.coverage.fcovers[j]);
            }
          break;
        default: 
          break;
        }
        if ( f->lookup_cnt!=0 ) {
            t->lookup_cnt = f->lookup_cnt;
            t->lookups = galloc(t->lookup_cnt*sizeof(struct seqlookup));
            memcpy(t->lookups,f->lookups,t->lookup_cnt*sizeof(struct seqlookup));
        }
    }
return( to );
}

FPST *FPSTCopy(FPST *fpst) {
    FPST *nfpst;
    int i;

    nfpst = chunkalloc(sizeof(FPST));
    *nfpst = *fpst;
    nfpst->next = NULL;
    if ( nfpst->nccnt!=0 ) {
        nfpst->nclass = galloc(nfpst->nccnt*sizeof(char *));
        for ( i=0; i<nfpst->nccnt; ++i )
            nfpst->nclass[i] = copy(fpst->nclass[i]);
    }
    if ( nfpst->bccnt!=0 ) {
        nfpst->bclass = galloc(nfpst->bccnt*sizeof(char *));
        for ( i=0; i<nfpst->bccnt; ++i )
            nfpst->bclass[i] = copy(fpst->bclass[i]);
    }
    if ( nfpst->fccnt!=0 ) {
        nfpst->fclass = galloc(nfpst->fccnt*sizeof(char *));
        for ( i=0; i<nfpst->fccnt; ++i )
            nfpst->fclass[i] = copy(fpst->fclass[i]);
    }
    nfpst->rules = RulesCopy(fpst->rules,fpst->rule_cnt,fpst->format);
return( nfpst );
}

void FPSTFree(FPST *fpst) {
    FPST *next;
    int i;

    while ( fpst!=NULL ) {
        next = fpst->next;
        for ( i=0; i<fpst->nccnt; ++i )
            free(fpst->nclass[i]);
        for ( i=0; i<fpst->bccnt; ++i )
            free(fpst->bclass[i]);
        for ( i=0; i<fpst->fccnt; ++i )
            free(fpst->fclass[i]);
        free(fpst->nclass); free(fpst->bclass); free(fpst->fclass);
        for ( i=0; i<fpst->rule_cnt; ++i ) {
            FPSTRuleContentsFree( &fpst->rules[i],fpst->format );
        }
        free(fpst->rules);
        chunkfree(fpst,sizeof(FPST));
        fpst = next;
    }
}

void MinimumDistancesFree(MinimumDistance *md) {
    MinimumDistance *next;

    while ( md!=NULL ) {
        next = md->next;
        chunkfree(md,sizeof(MinimumDistance));
        md = next;
    }
}

void TTFLangNamesFree(struct ttflangname *l) {
    struct ttflangname *next;
    int i;

    while ( l!=NULL ) {
        next = l->next;
        for ( i=0; i<ttf_namemax; ++i )
            free(l->names[i]);
        chunkfree(l,sizeof(*l));
        l = next;
    }
}

void AltUniFree(struct altuni *altuni) {
    struct altuni *next;

    while ( altuni ) {
        next = altuni->next;
        chunkfree(altuni,sizeof(struct altuni));
        altuni = next;
    }
}

void LayerDefault(Layer *layer) {
    memset(layer,0,sizeof(Layer));
}

SplineChar *SplineCharCreate(int layer_cnt) {
    SplineChar *sc = chunkalloc(sizeof(SplineChar));
    int i;

    sc->color = COLOR_DEFAULT;
    sc->orig_pos = 0xffff;
    sc->unicodeenc = -1;
    sc->layer_cnt = layer_cnt;
    sc->layers = gcalloc(layer_cnt,sizeof(Layer));
    for ( i=0; i<layer_cnt; ++i )
        LayerDefault(&sc->layers[i]);
    sc->tex_height = sc->tex_depth = sc->italic_correction = sc->top_accent_horiz =
            TEX_UNDEF;
return( sc );
}

SplineChar *SFSplineCharCreate(SplineFont *sf) {
    SplineChar *sc = SplineCharCreate(sf->layer_cnt);
    int i;

    for ( i=0; i<sf->layer_cnt; ++i ) {
        sc->layers[i].background = sf->layers[i].background;
        sc->layers[i].order2     = sf->layers[i].order2;
    }
    sc->parent = sf;
return( sc );
}

void GlyphVariantsFree(struct glyphvariants *gv) {
    int i;

    if ( gv==NULL )
return;
    free(gv->variants);
    for ( i=0; i<gv->part_cnt; ++i )
        free( gv->parts[i].component );
    free(gv->parts);
    chunkfree(gv,sizeof(*gv));
}

struct mathkern *MathKernCopy(struct mathkern *mk) {
    int i,j;
    struct mathkern *mknew;

    if ( mk==NULL )
return( NULL );
    mknew = chunkalloc(sizeof(*mknew));
    for ( i=0; i<4; ++i ) {
        struct mathkernvertex *mkv = &(&mk->top_right)[i];
        struct mathkernvertex *mknewv = &(&mknew->top_right)[i];
        mknewv->cnt = mkv->cnt;
        if ( mknewv->cnt!=0 ) {
            mknewv->mkd = gcalloc(mkv->cnt,sizeof(struct mathkerndata));
            for ( j=0; j<mkv->cnt; ++j ) {
                mknewv->mkd[j].height = mkv->mkd[j].height;
                mknewv->mkd[j].kern   = mkv->mkd[j].kern;
            }
        }
    }
return( mknew );
}

void MathKernVContentsFree(struct mathkernvertex *mk) {
    free(mk->mkd);
}

void MathKernFree(struct mathkern *mk) {
    int i;

    if ( mk==NULL )
return;
    for ( i=0; i<4; ++i )
        MathKernVContentsFree( &(&mk->top_right)[i] );
    chunkfree(mk,sizeof(*mk));
}

void SplineCharListsFree(struct splinecharlist *dlist) {
    struct splinecharlist *dnext;
    for ( ; dlist!=NULL; dlist = dnext ) {
        dnext = dlist->next;
        chunkfree(dlist,sizeof(struct splinecharlist));
    }
}

void LayerFreeContents(SplineChar *sc,int layer) {
    SplinePointListsFree(sc->layers[layer].splines);
    RefCharsFree(sc->layers[layer].refs);
    ImageListsFree(sc->layers[layer].images);
    /* image garbage collection????!!!! */
    UndoesFree(sc->layers[layer].undoes);
    UndoesFree(sc->layers[layer].redoes);
}

void SplineCharFreeContents(SplineChar *sc) {
    int i;

    if ( sc==NULL )
return;
    free(sc->name);
    free(sc->comment);
    for ( i=0; i<sc->layer_cnt; ++i )
        LayerFreeContents(sc,i);
    StemInfosFree(sc->hstem);
    StemInfosFree(sc->vstem);
    DStemInfosFree(sc->dstem);
    MinimumDistancesFree(sc->md);
    KernPairsFree(sc->kerns);
    KernPairsFree(sc->vkerns);
    AnchorPointsFree(sc->anchor);
    SplineCharListsFree(sc->dependents);
    PSTFree(sc->possub);
    free(sc->ttf_instrs);
    free(sc->countermasks);
    free(sc->layers);
    AltUniFree(sc->altuni);
    GlyphVariantsFree(sc->horiz_variants);
    GlyphVariantsFree(sc->vert_variants);
    MathKernFree(sc->mathkern);
#if defined(_NO_PYTHON)
    free( sc->python_persistent );      /* It's a string of pickled data which we leave as a string */
#else
    PyFF_FreeSC(sc);
#endif
}

void SplineCharFree(SplineChar *sc) {

    if ( sc==NULL )
return;
    SplineCharFreeContents(sc);
    chunkfree(sc,sizeof(SplineChar));
}

void AnchorClassesFree(AnchorClass *an) {
    AnchorClass *anext;
    for ( ; an!=NULL; an = anext ) {
        anext = an->next;
        free(an->name);
        chunkfree(an,sizeof(AnchorClass));
    }
}

void TtfTablesFree(struct ttf_table *tab) {
    struct ttf_table *next;

    for ( ; tab!=NULL; tab = next ) {
        next = tab->next;
        free(tab->data);
        chunkfree(tab,sizeof(struct ttf_table));
    }
}

void ScriptLangListFree(struct scriptlanglist *sl) {
    struct scriptlanglist *next;

    while ( sl!=NULL ) {
        next = sl->next;
        free(sl->morelangs);
        chunkfree(sl,sizeof(*sl));
        sl = next;
    }
}

void FeatureScriptLangListFree(FeatureScriptLangList *fl) {
    FeatureScriptLangList *next;

    while ( fl!=NULL ) {
        next = fl->next;
        ScriptLangListFree(fl->scripts);
        chunkfree(fl,sizeof(*fl));
        fl = next;
    }
}

void OTLookupFree(OTLookup *lookup) {
    struct lookup_subtable *st, *stnext;

    free(lookup->lookup_name);
    FeatureScriptLangListFree(lookup->features);
    for ( st=lookup->subtables; st!=NULL; st=stnext ) {
        stnext = st->next;
        free(st->subtable_name);
        free(st->suffix);
        chunkfree(st,sizeof(struct lookup_subtable));
    }
    chunkfree( lookup,sizeof(OTLookup) );
}

void OTLookupListFree(OTLookup *lookup ) {
    OTLookup *next;

    for ( ; lookup!=NULL; lookup = next ) {
        next = lookup->next;
        OTLookupFree(lookup);
    }
}

KernClass *KernClassCopy(KernClass *kc) {
    KernClass *new;
    int i;

    if ( kc==NULL )
return( NULL );
    new = chunkalloc(sizeof(KernClass));
    *new = *kc;
    new->firsts = galloc(new->first_cnt*sizeof(char *));
    new->seconds = galloc(new->second_cnt*sizeof(char *));
    new->offsets = galloc(new->first_cnt*new->second_cnt*sizeof(int16));
    memcpy(new->offsets,kc->offsets, new->first_cnt*new->second_cnt*sizeof(int16));
    for ( i=0; i<new->first_cnt; ++i )
        new->firsts[i] = copy(kc->firsts[i]);
    for ( i=0; i<new->second_cnt; ++i )
        new->seconds[i] = copy(kc->seconds[i]);
    new->next = NULL;
return( new );
}

void KernClassFreeContents(KernClass *kc) {
    int i;
    /* Issue 863 */
    for ( i=0; i<kc->first_cnt; ++i )
        free(kc->firsts[i]);
    for ( i=0; i<kc->second_cnt; ++i )
        free(kc->seconds[i]);
    free(kc->firsts);
    free(kc->seconds);
    free(kc->offsets);
}

void KernClassListFree(KernClass *kc) {
    KernClass *n;

    while ( kc ) {
        KernClassFreeContents(kc);
        n = kc->next;
        chunkfree(kc,sizeof(KernClass));
        kc = n;
    }
}

void OtfNameListFree(struct otfname *on) {
    struct otfname *on_next;

    for ( ; on!=NULL; on = on_next ) {
        on_next = on->next;
        free(on->name);
        chunkfree(on,sizeof(*on));
    }
}

EncMap *EncMapNew(int enccount,int backmax,Encoding *enc) {
    EncMap *map = chunkalloc(sizeof(EncMap));
    
    map->enccount = map->encmax = enccount;
    map->backmax = backmax;
    map->map = galloc(enccount*sizeof(int));
    memset(map->map,-1,enccount*sizeof(int));
    map->backmap = galloc(backmax*sizeof(int));
    memset(map->backmap,-1,backmax*sizeof(int));
    map->enc = enc;
return(map);
}

EncMap *EncMap1to1(int enccount) {
    EncMap *map = chunkalloc(sizeof(EncMap));
    /* Used for CID fonts where CID is same as orig_pos */
    int i;
    
    map->enccount = map->encmax = map->backmax = enccount;
    map->map = galloc(enccount*sizeof(int));
    map->backmap = galloc(enccount*sizeof(int));
    for ( i=0; i<enccount; ++i )
        map->map[i] = map->backmap[i] = i;
    map->enc = &custom;
return(map);
}

static void EncodingFree(Encoding *enc) {
    int i;

    if ( enc==NULL )
return;
    free(enc->enc_name);
    free(enc->unicode);
    if ( enc->psnames!=NULL ) {
        for ( i=0; i<enc->char_cnt; ++i )
            free(enc->psnames[i]);
        free(enc->psnames);
    }
    free(enc);
}

void EncMapFree(EncMap *map) {
    if ( map==NULL )
return;

    if ( map->enc->is_temporary )
        EncodingFree(map->enc);
    free(map->map);
    free(map->backmap);
    free(map->remap);
    chunkfree(map,sizeof(EncMap));
}

EncMap *EncMapCopy(EncMap *map) {
    EncMap *new;

    new = chunkalloc(sizeof(EncMap));
    *new = *map;
    new->map = galloc(new->encmax*sizeof(int));
    new->backmap = galloc(new->backmax*sizeof(int));
    memcpy(new->map,map->map,new->enccount*sizeof(int));
    memcpy(new->backmap,map->backmap,new->backmax*sizeof(int));
    if ( map->remap ) {
        int n;
        for ( n=0; map->remap[n].infont!=-1; ++n );
        new->remap = galloc(n*sizeof(struct remap));
        memcpy(new->remap,map->remap,n*sizeof(struct remap));
    }
return( new );
}

void MarkClassFree(int cnt,char **classes,char **names) {
    int i;

    for ( i=1; i<cnt; ++i ) {
        free( classes[i] );
        free( names[i] );
    }
    free( classes );
    free( names );
}

struct baselangextent *BaseLangCopy(struct baselangextent *extent) {
    struct baselangextent *head, *last, *cur;

    last = head = NULL;
    for ( ; extent!=NULL; extent = extent->next ) {
        cur = chunkalloc(sizeof(struct baselangextent));
        *cur = *extent;
        cur->features = BaseLangCopy(cur->features);
        if ( head==NULL )
            head = cur;
        else
            last->next = cur;
        last = cur;
    }
return( head );
}

void BaseLangFree(struct baselangextent *extent) {
    struct baselangextent *next;

    while ( extent!=NULL ) {
        next = extent->next;
        BaseLangFree(extent->features);
        chunkfree(extent,sizeof(struct baselangextent));
        extent = next;
    }
}

void BaseScriptFree(struct basescript *bs) {
    struct basescript *next;

    while ( bs!=NULL ) {
        next = bs->next;
        free(bs->baseline_pos);
        BaseLangFree(bs->langs);
        chunkfree(bs,sizeof(struct basescript));
        bs = next;
    }
}
        
void BaseFree(struct Base *base) {
    if ( base==NULL )
return;

    free(base->baseline_tags);
    BaseScriptFree(base->scripts);
    chunkfree(base,sizeof(struct Base));
}

void SplineFontFree(SplineFont *sf) {
    int i;

    if ( sf==NULL )
return;
    if ( sf->mm!=NULL ) {
        MMSetFree(sf->mm);
return;
    }
    for ( i=0; i<sf->glyphcnt; ++i ) if ( sf->glyphs[i]!=NULL )
        SplineCharFree(sf->glyphs[i]);
    free(sf->glyphs);
    free(sf->fontname);
    free(sf->fullname);
    free(sf->familyname);
    free(sf->weight);
    free(sf->copyright);
    free(sf->comments);
    free(sf->filename);
    free(sf->origname);
    free(sf->autosavename);
    free(sf->version);
    free(sf->xuid);
    free(sf->cidregistry);
    free(sf->ordering);
    /* We don't free the EncMap. That field is only a temporary pointer. Let the FontViewBase free it, that's where it really lives */
    SplinePointListsFree(sf->grid.splines);
    AnchorClassesFree(sf->anchor);
    TtfTablesFree(sf->ttf_tables);
    TtfTablesFree(sf->ttf_tab_saved);
    UndoesFree(sf->grid.undoes);
    UndoesFree(sf->grid.redoes);
    PSDictFree(sf->private);
    TTFLangNamesFree(sf->names);
    for ( i=0; i<sf->subfontcnt; ++i )
        SplineFontFree(sf->subfonts[i]);
    free(sf->subfonts);
    GlyphHashFree(sf);
    OTLookupListFree(sf->gpos_lookups);
    OTLookupListFree(sf->gsub_lookups);
    KernClassListFree(sf->kerns);
    KernClassListFree(sf->vkerns);
    FPSTFree(sf->possub);
    OtfNameListFree(sf->fontstyle_name);
    MarkClassFree(sf->mark_class_cnt,sf->mark_classes,sf->mark_class_names);
    free( sf->gasp );
#if defined(_NO_PYTHON)
    free( sf->python_persistent );      /* It's a string of pickled data which we leave as a string */
#else
    PyFF_FreeSF(sf);
#endif
    BaseFree(sf->horiz_base);
    BaseFree(sf->vert_base);
    /* issue 863 */
    for ( i=0; i < sf->layer_cnt; ++i )
        free (sf->layers[i].name);
    free(sf->layers);
    free(sf->MATH);
    free(sf);
}

void MMSetFreeContents(MMSet *mm) {
    int i;

    free(mm->instances);

    free(mm->positions);
    free(mm->defweights);

    for ( i=0; i<mm->axis_count; ++i ) {
        free(mm->axes[i]);
        free(mm->axismaps[i].blends);
        free(mm->axismaps[i].designs);
    }
    free(mm->axismaps);
    free(mm->cdv);
    free(mm->ndv);
}

void MMSetFree(MMSet *mm) {
    int i;

    for ( i=0; i<mm->instance_count; ++i ) {
        mm->instances[i]->mm = NULL;
        mm->instances[i]->map = NULL;
        SplineFontFree(mm->instances[i]);
    }
    mm->normal->mm = NULL;
    SplineFontFree(mm->normal);         /* EncMap gets freed here */
    MMSetFreeContents(mm);

    chunkfree(mm,sizeof(*mm));
}

static int SplineRemoveAnnoyingExtrema1(Spline *s,int which,double err_sq) {
    /* Remove extrema which are very close to one of the spline end-points */
    /*  and which are in the oposite direction (along the normal of the */
    /*  close end-point's cp) from the other end-point */
    extended ts[2], t1, t2;
    bigreal df, dt;
    bigreal dp, d_o;
    int i;
    BasePoint pos, norm;
    SplinePoint *close, *other;
    BasePoint *ccp;
    bigreal c_, b_, nextcp, prevcp, prop;
    int changed = false;

    SplineFindExtrema(&s->splines[which],&ts[0],&ts[1]);

    for ( i=0; i<2; ++i ) if ( ts[i]!=-1 && ts[i]!=0 && ts[i]!=1 ) {
        pos.x = ((s->splines[0].a*ts[i]+s->splines[0].b)*ts[i]+s->splines[0].c)*ts[i]+s->splines[0].d;
        pos.y = ((s->splines[1].a*ts[i]+s->splines[1].b)*ts[i]+s->splines[1].c)*ts[i]+s->splines[1].d;
        df = (pos.x-s->from->me.x)*(pos.x-s->from->me.x) + (pos.y-s->from->me.y)*(pos.y-s->from->me.y);
        dt = (pos.x-s->to->me.x)*(pos.x-s->to->me.x) + (pos.y-s->to->me.y)*(pos.y-s->to->me.y);
        if ( df<dt && df<err_sq ) {
            close = s->from;
            ccp = &s->from->nextcp;
            other = s->to;
        } else if ( dt<df && dt<err_sq ) {
            close = s->to;
            ccp = &s->to->prevcp;
            other = s->from;
        } else
    continue;
        if ( ccp->x==close->me.x && ccp->y==close->me.y )
    continue;

        norm.x = (ccp->y-close->me.y);
        norm.y = -(ccp->x-close->me.x);
        dp = (pos.x-close->me.x)*norm.x + (pos.y-close->me.y)*norm.y;
        d_o = (other->me.x-close->me.x)*norm.x + (other->me.y-close->me.y)*norm.y;
        if ( dp!=0 && dp*d_o>=0 )
    continue;

        _SplineFindExtrema(&s->splines[which],&t1,&t2);
        if ( t1==ts[i] ) {
            if ( close==s->from ) t1=0;
            else t1 = 1;
        } else if ( t2==ts[i] ) {
            if ( close==s->from ) t2=0;
            else t2 = 1;
        } else
    continue;

        if ( t2==-1 )           /* quadratic */
    continue;                   /* Can't happen in a quadratic */

        /* The roots of the "slope" quadratic were t1, t2. We have shifted one*/
        /*  root so that that extremum is exactly on an end point */
        /*  Figure out the new slope quadratic, from that what the cubic must */
        /*  be, and from that what the control points must be */
        /* Quad = 3at^2 + 2bt + c */
        /* New quad = 3a * (t^2 -(t1+t2)t + t1*t2) */
        /* a' = a, b' = -(t1+t2)/6a, c' = t1*t2/3a, d' = d */
        /* nextcp = from + c'/3, prevcp = nextcp + (b' + c')/3 */
        /* Then for each cp figure what percentage of the original cp vector */
        /*  (or at least this one dimension of that vector) this represents */
        /*  and scale both dimens by this amount */
        b_ = -(t1+t2)*3*s->splines[which].a/2;
        c_ = (t1*t2)*3*s->splines[which].a;
        nextcp = (&s->from->me.x)[which] + c_/3;
        prevcp = nextcp + (b_ + c_)/3;

        if ( (&s->from->nextcp.x)[which] != (&s->from->me.x)[which] ) {
            prop = (c_/3) / ( (&s->from->nextcp.x)[which] - (&s->from->me.x)[which] );
            if ( prop<0 && (c_/3 < .1 && c_/3 > -.1))
                (&s->to->prevcp.x)[which] = nextcp;
            else if ( prop>=0 && prop<=10 ) {
                s->from->nextcp.x = s->from->me.x + prop*(s->from->nextcp.x-s->from->me.x);
                s->from->nextcp.y = s->from->me.y + prop*(s->from->nextcp.y-s->from->me.y);
                s->from->nonextcp = (prop == 0);
            }
        }

        if ( (&s->to->prevcp.x)[which] != (&s->to->me.x)[which] ) {
            prop = ( prevcp - (&s->to->me.x)[which]) /
                        ( (&s->to->prevcp.x)[which] - (&s->to->me.x)[which] );
            if ( prop<0 && (prevcp - (&s->to->me.x)[which] < .1 && prevcp - (&s->to->me.x)[which] > -.1))
                (&s->to->prevcp.x)[which] = prevcp;
            else if ( prop>=0 && prop<=10 ) {
                s->to->prevcp.x = s->to->me.x + prop*(s->to->prevcp.x-s->to->me.x);
                s->to->prevcp.y = s->to->me.y + prop*(s->to->prevcp.y-s->to->me.y);
                s->to->noprevcp = (prop == 0);
            }
        }
        SplineRefigure(s);
        changed = true;
    }
return( changed );
}

static int SplineRemoveAnnoyingExtrema(Spline *s,double err_sq) {
    int changed;

    changed = SplineRemoveAnnoyingExtrema1(s,0,err_sq);
    if ( SplineRemoveAnnoyingExtrema1(s,1,err_sq) )
        changed = true;
return( changed );
}

int SplineSetsRemoveAnnoyingExtrema(SplineSet *ss,double err) {
    int changed = false;
    double err_sq = err*err;
    Spline *s, *first;


    while ( ss!=NULL ) {
        first = NULL;
        for ( s = ss->first->next; s!=NULL && s!=first; s = s->to->next ) {
            if ( first == NULL ) first = s;
            if ( SplineRemoveAnnoyingExtrema(s,err_sq))
                changed = true;
        }
        ss = ss->next;
    }
return( changed );
}

SplinePoint *SplineBisect(Spline *spline, extended t) {
    Spline1 xstart, xend;
    Spline1 ystart, yend;
    Spline *spline1, *spline2;
    SplinePoint *mid;
    SplinePoint *old0, *old1;
    Spline1D *xsp = &spline->splines[0], *ysp = &spline->splines[1];
    int order2 = spline->order2;

#ifdef DEBUG
    if ( t<=1e-3 || t>=1-1e-3 )
        IError("Bisection to create a zero length spline");
#endif
    xstart.s0 = xsp->d; ystart.s0 = ysp->d;
    xend.s1 = (extended) xsp->a+xsp->b+xsp->c+xsp->d;
    yend.s1 = (extended) ysp->a+ysp->b+ysp->c+ysp->d;
    xstart.s1 = xend.s0 = ((xsp->a*t+xsp->b)*t+xsp->c)*t + xsp->d;
    ystart.s1 = yend.s0 = ((ysp->a*t+ysp->b)*t+ysp->c)*t + ysp->d;
    FigureSpline1(&xstart,0,t,xsp);
    FigureSpline1(&xend,t,1,xsp);
    FigureSpline1(&ystart,0,t,ysp);
    FigureSpline1(&yend,t,1,ysp);

    mid = chunkalloc(sizeof(SplinePoint));
    mid->me.x = xstart.s1;      mid->me.y = ystart.s1;
    if ( order2 ) {
        mid->nextcp.x = xend.sp.d + xend.sp.c/2;
        mid->nextcp.y = yend.sp.d + yend.sp.c/2;
        mid->prevcp.x = xstart.sp.d + xstart.sp.c/2;
        mid->prevcp.y = ystart.sp.d + ystart.sp.c/2;
    } else {
        mid->nextcp.x = xend.c0;        mid->nextcp.y = yend.c0;
        mid->prevcp.x = xstart.c1;      mid->prevcp.y = ystart.c1;
    }
    if ( mid->me.x==mid->nextcp.x && mid->me.y==mid->nextcp.y )
        mid->nonextcp = true;
    if ( mid->me.x==mid->prevcp.x && mid->me.y==mid->prevcp.y )
        mid->noprevcp = true;

    old0 = spline->from; old1 = spline->to;
    if ( order2 ) {
        old0->nextcp = mid->prevcp;
        old1->prevcp = mid->nextcp;
    } else {
        old0->nextcp.x = xstart.c0;     old0->nextcp.y = ystart.c0;
        old1->prevcp.x = xend.c1;       old1->prevcp.y = yend.c1;
    }
    old0->nonextcp = (old0->nextcp.x==old0->me.x && old0->nextcp.y==old0->me.y);
    old1->noprevcp = (old1->prevcp.x==old1->me.x && old1->prevcp.y==old1->me.y);
    old0->nextcpdef = false;
    old1->prevcpdef = false;
    SplineFree(spline);

    spline1 = chunkalloc(sizeof(Spline));
    spline1->splines[0] = xstart.sp;    spline1->splines[1] = ystart.sp;
    spline1->from = old0;
    spline1->to = mid;
    spline1->order2 = order2;
    old0->next = spline1;
    mid->prev = spline1;
    if ( SplineIsLinear(spline1)) {
        spline1->islinear = spline1->from->nonextcp = spline1->to->noprevcp = true;
        spline1->from->nextcp = spline1->from->me;
        spline1->to->prevcp = spline1->to->me;
    }
    SplineRefigure(spline1);

    spline2 = chunkalloc(sizeof(Spline));
    spline2->splines[0] = xend.sp;      spline2->splines[1] = xend.sp;
    spline2->from = mid;
    spline2->to = old1;
    spline2->order2 = order2;
    mid->next = spline2;
    old1->prev = spline2;
    if ( SplineIsLinear(spline2)) {
        spline2->islinear = spline2->from->nonextcp = spline2->to->noprevcp = true;
        spline2->from->nextcp = spline2->from->me;
        spline2->to->prevcp = spline2->to->me;
    }
    SplineRefigure(spline2);
return( mid );
}