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//
// Copyright (c) 1997-1999 Microsoft Corporation.
//
#include "stdafx.h"
#include "vdata.h"
#include "extfunc.h"
#define sign(n) (n < 0 ? 1 : 0)
#define fpow(f) ((double)f*f)
#define lpow(f) ((long)f*f)
#define SPLINE_ATR 0x0001
#define SMOOTHANCHOR 0x80
#define SABUNMIN (1*16)
int FitConic(int inLst,int outLst,int level,int ufp); static int SetConic(struct VDATA *svp,int nElm,int outLst,int level); static int CurvTerm(struct VDATA *svp,int nElm,struct VDATA * *term,int level); static void sabun2(struct VDATA *vp,struct vecdata *vd); static int Fitting(struct VDATA *sp,struct VDATA *ep,int nElm,int outLst); static void onecurve(struct VDATA *sp,struct VDATA *midp,struct VDATA *ep,struct vecdata *cp); static int twocurve(struct VDATA *sp,struct VDATA *ep,int nElm,struct vecdata *cp,struct vecdata *mid,struct vecdata *cp2); static long getdist(struct vecdata *lp1,struct vecdata *lp2,struct vecdata *p); static int CrsPnt(struct vecdata *p1,struct vecdata *p2,struct vecdata *p3,struct vecdata *p4,struct vecdata *crsp); static long plen(struct vecdata *p1,struct vecdata *p2); static int isbind(struct vecdata *v1,struct vecdata *v2,struct vecdata *v3); static long GetCurveHeight(struct VDATA *sp,struct VDATA *ep,int nelm,struct VDATA * *rvp,int *pos);
static int underFP; /***********************************************************************
* Fit Conic Spline to Short Vector */ /* */ int /* */ FitConic( /* */ int inLst, /* */ int outLst, /* */ int level, /* Smoothing Level 0-SMOOTHLEVELMAX-1 */ /* */ int ufp) /*
* returns : 0, -1 ***********************************************************************/ { struct VHEAD *vhd; int sts; struct VDATA *svp, *evp; int sp, ep; int ncont;
underFP = ufp; if ( (sts = VDGetHead( inLst, &vhd))!=0) goto RET; VDNew( outLst); ncont=0; while ( vhd->next != NIL) { svp = vhd->headp; if ((sp=searchanchor(0,svp,&svp,vhd->nPoints))<vhd->nPoints){ while(sp<vhd->nPoints) { ep = searchanchor(sp+1, svp->next,&evp, vhd->nPoints);
if ((sts = SetConic( svp, ep-sp, outLst, level))<0) goto RET;
if ( ep >= vhd->nPoints) break; sp = ep; svp = evp; } } ncont++; if ((sts = VDClose( outLst))<0) goto RET; vhd = vhd->next; } RET: return( sts); } /***********************************************************************
* Set Conic Curves to specified category */ /* */ static int /* */ SetConic ( struct VDATA *svp, int nElm, int outLst, int level) /*
* returns : 0, -1 ***********************************************************************/ { struct VDATA *vp; int nPart; int sts;
sts = 0; while ( nElm > 0) { /* Divide non contigus */ nPart = CurvTerm( svp, nElm, &vp , level); sts = Fitting( svp, vp, nPart, outLst); svp = vp; nElm -= nPart; } return sts; } /***********************************************************************
* Determine the part which is described with one Conic */ /* */ static int /* */ CurvTerm( /* */ struct VDATA *svp, /* */ int nElm, /* */ struct VDATA **term, /* */ int level) /*
* returns: none ***********************************************************************/ { struct vecdata sub1, sub2; int ecnt;
if ( nElm < 3) { for ( ecnt=0; ecnt < nElm; ecnt++) svp = svp->next; *term = svp; return( nElm); } sabun2( svp, &sub1); for ( ecnt = 2; ecnt < nElm; ecnt++) { svp = svp->next; sabun2( svp, &sub2); if ((sign(sub1.x)!=sign(sub2.x) && abs(sub1.x)+abs(sub2.x)> SABUNMIN*(level+1)) || (sign(sub1.y)!=sign(sub2.y) &&abs(sub1.y)+abs(sub2.y)> SABUNMIN*(level+1))) { *term = svp->next; return ecnt; } sub1 = sub2; } *term = svp->next->next; return nElm; } /***********************************************************************
* 2nd Sabun */ /* */ static void /* */ sabun2( struct VDATA *vp, struct vecdata *vd) /*
* returns : none ***********************************************************************/ { vd->x = vp->vd.x - vp->next->vd.x*2 + vp->next->next->vd.x; vd->y = vp->vd.y - vp->next->vd.y*2 + vp->next->next->vd.y; return; } /***********************************************************************
* Curve fit and set data */ /* */ static int /* */ Fitting( /* */ struct VDATA *sp, /* Conic Start Point */ /* */ struct VDATA *ep, /* Conic End Point */ /* */ int nElm, /* */ int outLst) /*
* returns : 0, -1 ***********************************************************************/ { struct vecdata vd; struct vecdata cp, mid, cp2; int sts;
if ( nElm==0) return 0; else if ( nElm == 1) { vd = sp->vd; if ((sts = VDSetData( outLst, &vd))<0) goto RET; } else if ( nElm == 2) { onecurve( sp , sp->next, ep, &cp ); vd = sp->vd; if ((sts = VDSetData( outLst, &vd))<0) goto RET; cp.atr = SPLINE_ATR; if ((sts = VDSetData( outLst, &cp))<0) goto RET; } else { if ( twocurve( sp, ep, nElm, &cp, &mid, &cp2)) { vd = sp->vd; if ((sts = VDSetData( outLst, &vd))<0) goto RET; cp.atr = SPLINE_ATR; if ((sts = VDSetData( outLst, &cp))<0) goto RET; mid.atr = 0; if ((sts = VDSetData( outLst, &mid))<0) goto RET; cp2.atr = SPLINE_ATR; if ((sts = VDSetData( outLst, &cp2))<0) goto RET; } else { vd = sp->vd; if ((sts = VDSetData( outLst, &vd))<0) goto RET; cp.atr = SPLINE_ATR; if ((sts = VDSetData( outLst, &cp))<0) goto RET; } } RET: return sts; } /***********************************************************************
* Fit One Curve */ /* */ static void /* */ onecurve( /* */ struct VDATA *sp, /* */ struct VDATA *midp, /* */ struct VDATA *ep, /* */ struct vecdata *cp) /*
* returns : none ***********************************************************************/ { struct vecdata p;
p.x = (midp->vd.x*4 - sp->vd.x - ep->vd.x)/2; p.y = (midp->vd.y*4 - sp->vd.y - ep->vd.y)/2;
if ( sp->vd.x < ep->vd.x) { if ( p.x > ep->vd.x) p.x = ep->vd.x; if ( p.x < sp->vd.x) p.x = sp->vd.x; } else { if ( p.x < ep->vd.x) p.x = ep->vd.x; if ( p.x > sp->vd.x) p.x = sp->vd.x; } if ( sp->vd.y < ep->vd.y) { if ( p.y > ep->vd.y) p.y = ep->vd.y; if ( p.y < sp->vd.y) p.y = sp->vd.y; } else { if ( p.y < ep->vd.y) p.y = ep->vd.y; if ( p.y > sp->vd.y) p.y = sp->vd.y; } *cp = p; } /**********************************************************************
* Fit with a pair of Conic */ /* */ static int /* */ twocurve( /* */ struct VDATA *sp, /* */ struct VDATA *ep, /* */ int nElm, /* */ struct vecdata *cp, /* */ struct vecdata *mid, /* */ struct vecdata *cp2) /*
* returns : 0, 1( pair) **********************************************************************/ { struct VDATA *midvp, *maxvp; long maxlen; int twin; long sclen, eclen; int pos; int cp1pos, cp2pos;
/* Get Curve Peak */ maxlen = GetCurveHeight( sp, ep, nElm, &maxvp, &pos); /*
if ( plen( &sp->vd, &ep->vd)/25 > maxlen) { onecurve( sp , maxvp, ep, cp ); twin = 0; } else { */ onecurve( sp , maxvp, ep, cp ); sclen = plen( &sp->vd, cp); eclen = plen( &ep->vd, cp); midvp = maxvp; if ( sclen > eclen*4 || sclen*4 < eclen || (long)(maxvp->vd.x - sp->vd.x)*(cp->x-sp->vd.x)<0L || (long)(maxvp->vd.y - sp->vd.y)*(cp->y-sp->vd.y)<0L || ( plen( &sp->vd, &ep->vd)>25L*25*underFP && plen( &sp->vd, &ep->vd)<maxlen*64)) {
maxlen=GetCurveHeight(sp, midvp, pos, &maxvp, &cp1pos); onecurve( sp, maxvp, midvp, cp ); maxlen=GetCurveHeight(midvp,ep,nElm-pos,&maxvp,&cp2pos); onecurve( midvp , maxvp, ep, cp2 ); *mid = midvp->vd; twin = 1; } else { twin = 0; } /*
} */ return( twin); } /**********************************************************************
* distance of point from line */ /* */ static long /* */ getdist( /* */ struct vecdata *lp1, /* */ struct vecdata *lp2, /* Line p1, p2 */ /* */ struct vecdata *p) /* Point */ /*
* return : Disttance 2nd Value **********************************************************************/ { long a, b, c; long height;
a = - ( lp2->y - lp1->y); b = lp2->x - lp1->x; c = (long)(-lp1->y) * lp2->x + (long)(lp1->x) * lp2->y; if ( a==0 && b==0) height = c; else { height = a*p->x + b*p->y+c; if ( labs(height)>46340L) height = (long)(fpow(height)/(fpow(a)+fpow(b))); else height = lpow(height)/(lpow(a)+lpow(b)); } return( height); } /**********************************************************************
* Cross Point */ /* */ static int /* */ CrsPnt( /* */ struct vecdata *p1, /* vector point p1 to p2 */ /* */ struct vecdata *p2, /* */ struct vecdata *p3, /* vector point p3 to p4 */ /* */ struct vecdata *p4, /* */ struct vecdata *crsp) /*
* returns : 0, -1(no cross) **********************************************************************/ { int rel1x, rel1y, rel2x, rel2y; long cmul, cmul2; int sts;
rel1x = p2->x - p1->x; rel1y = p2->y - p1->y; rel2x = p4->x - p3->x; rel2y = p4->y - p3->y; cmul = (long)rel1y*rel2x - (long)rel2y*rel1x;
if (cmul == 0L) sts = -1; else { cmul2 = (long)rel2x * (p3->y - p1->y) - (long)rel2y * (p3->x - p1->x); crsp->x = (int)(cmul2*rel1x/cmul) + p1->x; crsp->y = (int)(cmul2*rel1y/cmul) + p1->y; if ( (long)rel1x*(crsp->x-p1->x)<0 || (long)rel1y*(crsp->y-p1->y)<0 || (long)rel2x*(crsp->x-p4->x)<0 || (long)rel2y*(crsp->y-p4->y)<0) sts = -1; else sts = 0; }
return sts; } /**********************************************************************
* distance of points */ /* */ static long /* */ plen( /* */ struct vecdata *p1, /* */ struct vecdata *p2) /*
* return : Disttance 2nd Value **********************************************************************/ { return( lpow((long)(p2->x-p1->x)) + lpow((long)(p2->y - p1->y))); } /**********************************************************************
* bind two conic to one */ /* */ static int /* */ isbind( /* */ struct vecdata *v1, /* */ struct vecdata *v2, /* */ struct vecdata *v3) /*
* returns : 0, 1 **********************************************************************/ { int l12, l23;
l12 = v1->x - v2->x; l23 = v2->x - v3->x; if ( sign( l12)!=sign(l23)) goto NORET; l12 = abs( l12); l23 = abs( l23); if ( (l12-l23)!=0) { if ( l12 / abs(l12 - l23) <10) goto NORET; } l12 = v1->y - v2->y; l23 = v2->y - v3->y; if ( sign( l12)!=sign(l23)) goto NORET; l12 = abs( l12); l23 = abs( l23); if ( (l12-l23)!=0) { if ( l12 / abs(l12 - l23) <10) goto NORET; } return 1; NORET: return 0; } /**********************************************************************
* Get Curve liaison Peak height */ /* */ static long /* */ GetCurveHeight( /* */ struct VDATA *sp, /* */ struct VDATA *ep, /* */ int nelm, /* */ struct VDATA * * rvp, /* */ int *pos) /*
* returns : maxlength( 2nd value) **********************************************************************/ { int ecnt; struct VDATA *vp, *maxvp; long maxlen, len; int maxpos;
/* Get Curve Peak */ vp = sp->next; maxvp = vp; maxlen = 0; maxpos = 0; for ( ecnt = 0; ecnt < nelm-1; ecnt++, vp = vp->next) { len = getdist( &sp->vd, &ep->vd, &vp->vd); if ( len > maxlen) { maxlen = len; maxvp = vp; maxpos = ecnt; } } *rvp = maxvp; *pos = maxpos; return maxlen; } /* EOF */
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