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/** \file tbezier.c
* XTrkCad - Model Railroad CAD
* Copyright (C) 2005 Dave Bullis
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
*****************************************************************************
* BEZIER TRACK (and LINE)
*
* tbezier.c has all the Track functions (for both T_BEZIER and T_BEZLIN) but all the heavy-math-lifting is delegated to cbezier.c
*
* Both Bezier Tracks and Lines are defined with two end points and two control points. Each end and control point pair is joined by a control arm.
* The angle between the control and end point (arm angle) determines the angle at the end point.
* The way the curve moves in between the ends is driven by the relative lengths of the two control arms.
* In general, lengthening one arm while keeping the other arm length fixed results in a curve that changes more slowly from the lengthened end and more swiftly from the other.
* Very un-prototypical track curves are easy to draw with Bezier, so beware!
*
* Another large user of tbezier.c is the Cornu function by way of its support for Bezier segments, which are used to approximate Cornu curves.
*
* In XTrkcad, Bezier curves are rendered into a set of Curved and Straight segments for display. This set is also saved, although the code recalculates a fresh set upon reload.
*
*/
#include "track.h"
#include "draw.h"
#include "tbezier.h"
#include "cbezier.h"
#include "ccurve.h"
#include "cstraigh.h"
#include "cjoin.h"
#include "param.h"
#include "cundo.h"
#include "layout.h"
#include "fileio.h"
#include "trackx.h"
EXPORT TRKTYP_T T_BEZIER = -1;
EXPORT TRKTYP_T T_BZRLIN = -1;
static int log_bezier = 0;
static DIST_T GetLengthBezier( track_p );
/****************************************
*
* UTILITIES
*
*/
/*
* Run after any changes to the Bezier points
*/
EXPORT void FixUpBezier(coOrd pos[4], struct extraDataBezier_t * xx, BOOL_T track) {
xx->a0 = NormalizeAngle(FindAngle(pos[1], pos[0]));
xx->a1 = NormalizeAngle(FindAngle(pos[2], pos[3]));
ConvertToArcs(pos, &xx->arcSegs, track, xx->segsColor,
xx->segsWidth);
xx->minCurveRadius = BezierMinRadius(pos,
xx->arcSegs);
xx->length = BezierLength(pos, xx->arcSegs);
}
/*
* Run after any changes to the Bezier points for a Segment
*/
EXPORT void FixUpBezierSeg(coOrd pos[4], trkSeg_p p, BOOL_T track) {
p->u.b.angle0 = NormalizeAngle(FindAngle(pos[1], pos[0]));
p->u.b.angle3 = NormalizeAngle(FindAngle(pos[2], pos[3]));
ConvertToArcs(pos, &p->bezSegs, track, p->color,
p->width);
p->u.b.minRadius = BezierMinRadius(pos,
p->bezSegs);
p->u.b.length = BezierLength(pos, p->bezSegs);
}
EXPORT void FixUpBezierSegs(trkSeg_p p,int segCnt) {
for (int i=0;i<segCnt;i++,p++) {
if (p->type == SEG_BEZTRK || p->type == SEG_BEZLIN) {
FixUpBezierSeg(p->u.b.pos,p,p->type == SEG_BEZTRK);
}
}
}
static void GetBezierAngles( ANGLE_T *a0, ANGLE_T *a1, track_p trk )
{
assert( trk != NULL );
*a0 = NormalizeAngle( GetTrkEndAngle(trk,0) );
*a1 = NormalizeAngle( GetTrkEndAngle(trk,1) );
LOG( log_bezier, 4, ( "getBezierAngles: = %0.3f %0.3f\n", *a0, *a1 ) )
}
static void ComputeBezierBoundingBox( track_p trk, struct extraDataBezier_t * xx )
{
coOrd hi, lo;
hi.x = lo.x = xx->pos[0].x;
hi.y = lo.y = xx->pos[0].y;
for (int i=1; i<=3;i++) {
hi.x = hi.x < xx->pos[i].x ? xx->pos[i].x : hi.x;
hi.y = hi.y < xx->pos[i].y ? xx->pos[i].y : hi.y;
lo.x = lo.x > xx->pos[i].x ? xx->pos[i].x : lo.x;
lo.y = lo.y > xx->pos[i].y ? xx->pos[i].y : lo.y;
}
SetBoundingBox( trk, hi, lo );
}
static DIST_T DistanceBezier( track_p t, coOrd * p );
DIST_T BezierDescriptionDistance(
coOrd pos,
track_p trk,
coOrd * dpos,
BOOL_T show_hidden,
BOOL_T * hidden)
{
coOrd p1;
if (hidden) *hidden = FALSE;
if ( GetTrkType( trk ) != T_BEZIER || ((( GetTrkBits( trk ) & TB_HIDEDESC ) != 0 ) && !show_hidden))
return DIST_INF;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
if (( GetTrkBits( trk ) & TB_HIDEDESC ) != 0 ) xx->descriptionOff = zero;
coOrd end0, end0off, end1, end1off;
end0 = xx->pos[0];
end1 = xx->pos[3];
ANGLE_T a;
a = FindAngle(end0,end1);
Translate(&end0off,end0,a+90,xx->descriptionOff.y);
Translate(&end1off,end1,a+90,xx->descriptionOff.y);
p1.x = (end1off.x - end0off.x)*(xx->descriptionOff.x+0.5) + end0off.x;
p1.y = (end1off.y - end0off.y)*(xx->descriptionOff.x+0.5) + end0off.y;
if (hidden) *hidden = (GetTrkBits( trk ) & TB_HIDEDESC);
*dpos = p1;
coOrd tpos = pos;
if (DistanceBezier(trk,&tpos)<FindDistance( p1, pos ))
return DistanceBezier(trk,&pos);
return FindDistance( p1, pos );
}
static void DrawBezierDescription(
track_p trk,
drawCmd_p d,
wDrawColor color )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
wFont_p fp;
coOrd epos0,epos1;
if (layoutLabels == 0)
return;
if ((labelEnable&LABELENABLE_TRKDESC)==0)
return;
epos0 = xx->pos[0];
epos1 = xx->pos[3];
ANGLE_T a = FindAngle(epos0,epos1);
Translate(&epos0,epos0,a+90,xx->descriptionOff.y);
Translate(&epos1,epos1,a+90,xx->descriptionOff.y);
fp = wStandardFont( F_TIMES, FALSE, FALSE );
sprintf( message, _("Bez: L%s A%0.3f trk_len=%s min_rad=%s"),
FormatDistance(FindDistance(xx->pos[0],xx->pos[3])),
FindAngle(xx->pos[0],xx->pos[3]),
FormatDistance(xx->length), FormatDistance(xx->minCurveRadius>10000?0.0:xx->minCurveRadius));
DrawLine(d,xx->pos[0],epos0,0,color);
DrawLine(d,xx->pos[3],epos1,0,color);
DrawDimLine( d, epos0, epos1, message, (wFontSize_t)descriptionFontSize, xx->descriptionOff.x+0.5, 0, color, 0x00 );
if (GetTrkBits( trk ) & TB_DETAILDESC) {
coOrd details_pos;
details_pos.x = (epos1.x - epos0.x)*(xx->descriptionOff.x+0.5) + epos0.x;
details_pos.y = (epos1.y - epos0.y)*(xx->descriptionOff.x+0.5) + epos0.y -(2*descriptionFontSize/mainD.dpi);
AddTrkDetails(d, trk, details_pos, xx->length, color);
}
}
STATUS_T BezierDescriptionMove(
track_p trk,
wAction_t action,
coOrd pos )
{
static coOrd p0,p1;
static BOOL_T editState = FALSE;
if (GetTrkType(trk) != T_BEZIER) return C_TERMINATE;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
ANGLE_T ap;
coOrd end0, end1;
end0 = xx->pos[0];
end1 = xx->pos[3];
ap = NormalizeAngle(FindAngle(end0,pos)-FindAngle(end0,end1));
xx->descriptionOff.y = FindDistance(end0,pos)*sin(D2R(ap));
xx->descriptionOff.x = -0.5 + FindDistance(end0,pos)*cos(D2R(ap))/FindDistance(end0,end1);
if (xx->descriptionOff.x > 0.5) xx->descriptionOff.x = 0.5;
if (xx->descriptionOff.x < -0.5) xx->descriptionOff.x = -0.5;
return C_CONTINUE;
}
/****************************************
*
* GENERIC FUNCTIONS
*
*/
static struct {
coOrd pos[4];
FLOAT_T elev[2];
FLOAT_T length;
DIST_T minRadius;
FLOAT_T grade;
unsigned int layerNumber;
ANGLE_T angle[2];
DIST_T radius[2];
coOrd center[2];
dynArr_t segs;
long width;
wDrawColor color;
long lineType;
} bezData;
typedef enum { P0, A0, R0, C0, Z0, CP1, CP2, P1, A1, R1, C1, Z1, RA, LN, GR, LT, WI, CO, LY} crvDesc_e;
static descData_t bezDesc[] = {
/*P0*/ { DESC_POS, N_("End Pt 1: X,Y"), &bezData.pos[0] },
/*A0*/ { DESC_ANGLE, N_("End Angle"), &bezData.angle[0] },
/*R0*/ { DESC_DIM, N_("Radius"), &bezData.radius[0] },
/*C0*/ { DESC_POS, N_("Center X,Y"), &bezData.center[0]},
/*Z0*/ { DESC_DIM, N_("Z1"), &bezData.elev[0] },
/*CP1*/ { DESC_POS, N_("Ctl Pt 1: X,Y"), &bezData.pos[1] },
/*CP2*/ { DESC_POS, N_("Ctl Pt 2: X,Y"), &bezData.pos[2] },
/*P1*/ { DESC_POS, N_("End Pt 2: X,Y"), &bezData.pos[3] },
/*A1*/ { DESC_ANGLE, N_("End Angle"), &bezData.angle[1] },
/*R1*/ { DESC_DIM, N_("Radius"), &bezData.radius[1] },
/*C1*/ { DESC_POS, N_("Center X,Y"), &bezData.center[1]},
/*Z1*/ { DESC_DIM, N_("Z2"), &bezData.elev[1] },
/*RA*/ { DESC_DIM, N_("MinRadius"), &bezData.radius },
/*LN*/ { DESC_DIM, N_("Length"), &bezData.length },
/*GR*/ { DESC_FLOAT, N_("Grade"), &bezData.grade },
/*LT*/ { DESC_LIST, N_("Line Type"), &bezData.lineType},
/*WI*/ { DESC_LONG, N_("Line Width"), &bezData.width},
/*CO*/ { DESC_COLOR, N_("Line Color"), &bezData.color},
/*LY*/ { DESC_LAYER, N_("Layer"), &bezData.layerNumber },
{ DESC_NULL } };
static void UpdateBezier( track_p trk, int inx, descData_p descUpd, BOOL_T final )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
BOOL_T updateEndPts;
EPINX_T ep;
ANGLE_T angle1, angle2;
BOOL_T is_Track = (GetTrkType(trk)==T_BEZIER);
if ( inx == -1 )
return;
updateEndPts = FALSE;
UndrawNewTrack( trk );
switch ( inx ) {
case P0:
updateEndPts = TRUE;
xx->pos[0] = bezData.pos[0];
xx->a0 = bezData.angle[1] = FindAngle(xx->pos[1],xx->pos[0]);
bezDesc[A0].mode |= DESC_CHANGE;
bezDesc[P0].mode |= DESC_CHANGE;
/* no break */
case P1:
updateEndPts = TRUE;
xx->pos[3]= bezData.pos[3];
xx->a1 = bezData.angle[1] = FindAngle(xx->pos[2],xx->pos[3]);
bezDesc[A1].mode |= DESC_CHANGE;
bezDesc[P1].mode |= DESC_CHANGE;
break;
case CP1:
if (is_Track) {
if (GetTrkEndTrk(trk,0)) {
angle1 = NormalizeAngle(GetTrkEndAngle(trk,0));
angle2 = DifferenceBetweenAngles(FindAngle(bezData.pos[1], xx->pos[0]),angle1);
if (fabs(angle2)<90)
Translate( &bezData.pos[1], xx->pos[0], angle1, -FindDistance( xx->pos[0], bezData.pos[1] )*cos(D2R(angle2)));
else bezData.pos[1] = xx->pos[1];
}
}
xx->pos[1] = bezData.pos[1];
xx->a0 = bezData.angle[0] = FindAngle(xx->pos[1],xx->pos[0]);
bezDesc[A0].mode |= DESC_CHANGE;
bezDesc[CP1].mode |= DESC_CHANGE;
updateEndPts = TRUE;
break;
case CP2:
if (is_Track) {
if (GetTrkEndTrk(trk,1)) {
angle1 = NormalizeAngle(GetTrkEndAngle(trk,1));
angle2 = DifferenceBetweenAngles(FindAngle(bezData.pos[2], xx->pos[3]),angle1);
if (fabs(angle2)<90)
Translate( &bezData.pos[2], xx->pos[3], angle1, -FindDistance( xx->pos[3], bezData.pos[2] )*cos(D2R(angle2)));
else bezData.pos[2] = xx->pos[2];
}
}
xx->pos[2] = bezData.pos[2];
xx->a1 = bezData.angle[1] = FindAngle(xx->pos[2],xx->pos[3]);
bezDesc[A1].mode |= DESC_CHANGE;
bezDesc[CP2].mode |= DESC_CHANGE;
updateEndPts = TRUE;
break;
case Z0:
case Z1:
ep = (inx==Z0?0:1);
UpdateTrkEndElev( trk, ep, GetTrkEndElevUnmaskedMode(trk,ep), bezData.elev[ep], NULL );
ComputeElev( trk, 1-ep, FALSE, &bezData.elev[1-ep], NULL, TRUE );
if ( bezData.length > minLength )
bezData.grade = fabs( (bezData.elev[0]-bezData.elev[1])/bezData.length )*100.0;
else
bezData.grade = 0.0;
bezDesc[GR].mode |= DESC_CHANGE;
bezDesc[inx==Z0?Z1:Z0].mode |= DESC_CHANGE;
return;
case LY:
SetTrkLayer( trk, bezData.layerNumber);
break;
case WI:
xx->segsWidth = bezData.width/75.0;
break;
case CO:
xx->segsColor = bezData.color;
break;
case LT:
xx->lineType = bezData.lineType;
break;
default:
AbortProg( "updateBezier: Bad inx %d", inx );
}
ConvertToArcs(xx->pos, &xx->arcSegs, IsTrack(trk)?TRUE:FALSE, xx->segsColor, xx->segsWidth);
trackParams_t params;
for (int i=0;i<2;i++) {
GetTrackParams(0,trk,xx->pos[i],¶ms);
bezData.radius[i] = params.arcR;
bezData.center[i] = params.arcP;
}
if (updateEndPts && is_Track) {
if ( GetTrkEndTrk(trk,0) == NULL ) {
SetTrkEndPoint( trk, 0, bezData.pos[0], NormalizeAngle( FindAngle(bezData.pos[1], bezData.pos[0]) ) );
bezData.angle[0] = GetTrkEndAngle(trk,0);
bezDesc[A0].mode |= DESC_CHANGE;
GetTrackParams(PARAMS_CORNU,trk,xx->pos[0],¶ms);
bezData.radius[0] = params.arcR;
bezData.center[0] = params.arcP;
}
if ( GetTrkEndTrk(trk,1) == NULL ) {
SetTrkEndPoint( trk, 1, bezData.pos[3], NormalizeAngle( FindAngle(bezData.pos[2], bezData.pos[3]) ) );
bezData.angle[1] = GetTrkEndAngle(trk,1);
bezDesc[A1].mode |= DESC_CHANGE;
GetTrackParams(PARAMS_CORNU,trk,xx->pos[1],¶ms);
bezData.radius[1] = params.arcR;
bezData.center[1] = params.arcP;
}
}
FixUpBezier(xx->pos, xx, IsTrack(trk));
ComputeBezierBoundingBox(trk, xx);
DrawNewTrack( trk );
}
static void DescribeBezier( track_p trk, char * str, CSIZE_T len )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
DIST_T d;
int fix0 = 0, fix1 = 0;
d = xx->length;
sprintf( str, _("Bezier %s(%d): Layer=%u MinRadius=%s Length=%s EP=[%0.3f,%0.3f] [%0.3f,%0.3f] CP1=[%0.3f,%0.3f] CP2=[%0.3f, %0.3f]"),
GetTrkType(trk)==T_BEZIER?"Track":"Line",
GetTrkIndex(trk),
GetTrkLayer(trk)+1,
FormatDistance(xx->minCurveRadius),
FormatDistance(d),
PutDim(xx->pos[0].x),PutDim(xx->pos[0].y),
PutDim(xx->pos[3].x),PutDim(xx->pos[3].y),
PutDim(xx->pos[1].x),PutDim(xx->pos[1].y),
PutDim(xx->pos[2].x),PutDim(xx->pos[2].y));
if (GetTrkType(trk) == T_BEZIER) {
fix0 = GetTrkEndTrk(trk,0)!=NULL;
fix1 = GetTrkEndTrk(trk,1)!=NULL;
}
bezData.length = GetLengthBezier(trk);
bezData.minRadius = xx->minCurveRadius;
if (bezData.minRadius >= DIST_INF) bezData.minRadius = 0;
bezData.layerNumber = GetTrkLayer(trk);
bezData.pos[0] = xx->pos[0];
bezData.pos[1] = xx->pos[1];
bezData.pos[2] = xx->pos[2];
bezData.pos[3] = xx->pos[3];
bezData.angle[0] = xx->a0;
bezData.angle[1] = xx->a1;
trackParams_t params;
GetTrackParams(PARAMS_CORNU,trk,xx->pos[0],¶ms);
bezData.radius[0] = params.arcR;
bezData.center[0] = params.arcP;
GetTrackParams(PARAMS_CORNU,trk,xx->pos[3],¶ms);
bezData.radius[1] = params.arcR;
bezData.center[1] = params.arcP;
if (GetTrkType(trk) == T_BEZIER) {
ComputeElev( trk, 0, FALSE, &bezData.elev[0], NULL, FALSE );
ComputeElev( trk, 1, FALSE, &bezData.elev[1], NULL, FALSE );
if ( bezData.length > minLength )
bezData.grade = fabs( (bezData.elev[0]-bezData.elev[1])/bezData.length )*100.0;
else
bezData.grade = 0.0;
}
bezDesc[P0].mode = fix0?DESC_RO:0;
bezDesc[P1].mode = fix1?DESC_RO:0;
bezDesc[LN].mode = DESC_RO;
bezDesc[CP1].mode = 0;
bezDesc[CP2].mode = 0;
if (GetTrkType(trk) == T_BEZIER) {
bezDesc[Z0].mode = EndPtIsDefinedElev(trk,0)?0:DESC_RO;
bezDesc[Z1].mode = EndPtIsDefinedElev(trk,1)?0:DESC_RO;
bezDesc[LT].mode = DESC_IGNORE;
}
else {
bezDesc[Z0].mode = bezDesc[Z1].mode = DESC_IGNORE;
bezDesc[LT].mode = 0;
bezData.lineType = xx->lineType;
}
bezDesc[A0].mode = DESC_RO;
bezDesc[A1].mode = DESC_RO;
bezDesc[C0].mode = DESC_RO;
bezDesc[C1].mode = DESC_RO;
bezDesc[R0].mode = DESC_RO;
bezDesc[R1].mode = DESC_RO;
bezDesc[GR].mode = DESC_RO;
bezDesc[RA].mode = DESC_RO;
bezDesc[LY].mode = DESC_NOREDRAW;
bezData.width = (long)floor(xx->segsWidth*75.0+0.5);
bezDesc[WI].mode = GetTrkType(trk) == T_BEZIER?DESC_IGNORE:0;
bezData.color = xx->segsColor;
bezDesc[CO].mode = GetTrkType(trk) == T_BEZIER?DESC_IGNORE:0;
if (GetTrkType(trk) == T_BEZIER)
DoDescribe( _("Bezier Track"), trk, bezDesc, UpdateBezier );
else {
DoDescribe( _("Bezier Line"), trk, bezDesc, UpdateBezier );
if (bezDesc[LT].control0!=NULL) {
wListClear( (wList_p)bezDesc[LT].control0 );
wListAddValue( (wList_p)bezDesc[LT].control0, _("Solid"), NULL, I2VP(0));
wListAddValue( (wList_p)bezDesc[LT].control0, _("Dash"), NULL, I2VP(1));
wListAddValue( (wList_p)bezDesc[LT].control0, _("Dot"), NULL, I2VP(2));
wListAddValue( (wList_p)bezDesc[LT].control0, _("DashDot"), NULL, I2VP(3));
wListAddValue( (wList_p)bezDesc[LT].control0, _("DashDotDot"), NULL, I2VP(4));
wListAddValue( (wList_p)bezDesc[LT].control0, _("CenterDot"), NULL, I2VP(5));
wListAddValue( (wList_p)bezDesc[LT].control0, _("PhantomDot"), NULL, I2VP(6));
wListSetIndex( (wList_p)bezDesc[LT].control0, bezData.lineType );
}
}
}
EXPORT void SetBezierLineType( track_p trk, int width ) {
if (GetTrkType(trk) == T_BZRLIN) {
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_BZRLIN, extraDataBezier_t);
switch(width) {
case 0:
xx->lineType = DRAWLINESOLID;
break;
case 1:
xx->lineType = DRAWLINEDASH;
break;
case 2:
xx->lineType = DRAWLINEDOT;
break;
case 3:
xx->lineType = DRAWLINEDASHDOT;
break;
case 4:
xx->lineType = DRAWLINEDASHDOTDOT;
break;
case 5:
xx->lineType = DRAWLINECENTER;
break;
case 6:
xx->lineType = DRAWLINEPHANTOM;
break;
}
}
}
static DIST_T DistanceBezier( track_p t, coOrd * p )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(t, T_NOTRACK, extraDataBezier_t);
DIST_T d = DIST_INF;
coOrd p2 = xx->pos[0]; //Set initial point
segProcData_t segProcData;
for (int i = 0;i<xx->arcSegs.cnt;i++) {
segProcData.distance.pos1 = * p;
SegProc(SEGPROC_DISTANCE,&DYNARR_N(trkSeg_t,xx->arcSegs,i),&segProcData);
if (segProcData.distance.dd<d) {
d = segProcData.distance.dd;
p2 = segProcData.distance.pos1;
}
}
* p = p2;
return d;
}
static void DrawBezier( track_p t, drawCmd_p d, wDrawColor color )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(t, T_NOTRACK, extraDataBezier_t);
long widthOptions = DTS_LEFT|DTS_RIGHT;
if (GetTrkType(t) == T_BZRLIN) {
unsigned long NotSolid = ~(DC_NOTSOLIDLINE);
d->options &= NotSolid;
if (xx->lineType == DRAWLINESOLID) {}
else if (xx->lineType == DRAWLINEDASH) d->options |= DC_DASH;
else if (xx->lineType == DRAWLINEDOT) d->options |= DC_DOT;
else if (xx->lineType == DRAWLINEDASHDOT) d->options |= DC_DASHDOT;
else if (xx->lineType == DRAWLINEDASHDOTDOT) d->options |= DC_DASHDOTDOT;
else if (xx->lineType == DRAWLINECENTER) d->options |= DC_CENTER;
else if (xx->lineType == DRAWLINEPHANTOM) d->options |= DC_PHANTOM;
DrawSegsO(d,t,zero,0.0,xx->arcSegs.ptr,xx->arcSegs.cnt, 0.0, color, 0);
d->options &= NotSolid;
return;
}
if ( ((d->options&DC_SIMPLE)==0) &&
(labelWhen == 2 || (labelWhen == 1 && (d->options&DC_PRINT))) &&
labelScale >= d->scale &&
( GetTrkBits( t ) & TB_HIDEDESC ) == 0 ) {
DrawBezierDescription( t, d, color );
}
DIST_T scale2rail = (d->options&DC_PRINT)?(twoRailScale*2+1):twoRailScale;
DrawSegsO(d,t,zero,0.0,xx->arcSegs.ptr,xx->arcSegs.cnt, GetTrkGauge(t), color, widthOptions);
DrawEndPt( d, t, 0, color );
DrawEndPt( d, t, 1, color );
}
static void DeleteBezier( track_p t )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(t, T_NOTRACK, extraDataBezier_t);
for (int i=0;i<xx->arcSegs.cnt;i++) {
trkSeg_t s = DYNARR_N(trkSeg_t,xx->arcSegs,i);
if (s.type == SEG_BEZTRK || s.type == SEG_BEZLIN) {
if (s.bezSegs.ptr) MyFree(s.bezSegs.ptr);
s.bezSegs.max = 0;
s.bezSegs.cnt = 0;
s.bezSegs.ptr = NULL;
}
}
if (xx->arcSegs.ptr && !xx->arcSegs.max)
MyFree(xx->arcSegs.ptr);
xx->arcSegs.max = 0;
xx->arcSegs.cnt = 0;
xx->arcSegs.ptr = NULL;
}
static BOOL_T WriteBezier( track_p t, FILE * f )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(t, T_NOTRACK, extraDataBezier_t);
long options;
BOOL_T rc = TRUE;
BOOL_T track =(GetTrkType(t)==T_BEZIER);
options = GetTrkWidth(t) & 0x0F;
if ( ( GetTrkBits(t) & TB_HIDEDESC ) == 0 ) options |= 0x80;
rc &= fprintf(f, "%s %d %u %ld %ld %0.6f %s %d %0.6f %0.6f %0.6f %0.6f %0.6f %0.6f %0.6f %0.6f %d %0.6f %0.6f \n",
track?"BEZIER":"BZRLIN",GetTrkIndex(t), GetTrkLayer(t), (long)options, wDrawGetRGB(xx->segsColor), xx->segsWidth,
GetTrkScaleName(t), GetTrkVisible(t)|(GetTrkNoTies(t)?1<<2:0)|(GetTrkBridge(t)?1<<3:0),
xx->pos[0].x, xx->pos[0].y,
xx->pos[1].x, xx->pos[1].y,
xx->pos[2].x, xx->pos[2].y,
xx->pos[3].x, xx->pos[3].y,
xx->lineType,
xx->descriptionOff.x, xx->descriptionOff.y )>0;
if (track) {
rc &= WriteEndPt( f, t, 0 );
rc &= WriteEndPt( f, t, 1 );
}
rc &= WriteSegs( f, xx->arcSegs.cnt, xx->arcSegs.ptr );
return rc;
}
static BOOL_T ReadBezier( char * line )
{
struct extraDataBezier_t *xx;
track_p t;
wIndex_t index;
BOOL_T visible;
coOrd p0, c1, c2, p1, dp;
char scale[10];
wIndex_t layer;
long options;
int lt;
char * cp = NULL;
unsigned long rgb;
DIST_T width;
TRKTYP_T trkTyp = strncmp(line,"BEZIER",6)==0?T_BEZIER:T_BZRLIN;
if (!GetArgs( line+6, "dLluwsdppppdp",
&index, &layer, &options, &rgb, &width, scale, &visible, &p0, &c1, &c2, &p1, <, &dp ) ) {
return FALSE;
}
if ( !ReadSegs() )
return FALSE;
t = NewTrack( index, trkTyp, 0, sizeof *xx );
xx = GET_EXTRA_DATA(t, trkTyp, extraDataBezier_t);
SetTrkVisible(t, visible&2);
SetTrkNoTies(t,visible&4);
SetTrkBridge(t,visible&8);
SetTrkScale(t, LookupScale(scale));
SetTrkLayer(t, layer );
SetTrkWidth(t, (int)(options&0x0F));
if ( paramVersion < VERSION_DESCRIPTION2 || ( options & 0x80 ) == 0 ) SetTrkBits(t,TB_HIDEDESC);
xx->pos[0] = p0;
xx->pos[1] = c1;
xx->pos[2] = c2;
xx->pos[3] = p1;
xx->lineType = lt;
xx->descriptionOff = dp;
xx->segsWidth = width;
xx->segsColor = wDrawFindColor( rgb );
FixUpBezier(xx->pos,xx,GetTrkType(t) == T_BEZIER);
ComputeBezierBoundingBox(t,xx);
if (GetTrkType(t) == T_BEZIER) {
SetEndPts(t,2);
}
return TRUE;
}
static void MoveBezier( track_p trk, coOrd orig )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
for (int i=0;i<4;i++) {
xx->pos[i].x += orig.x;
xx->pos[i].y += orig.y;
}
FixUpBezier(xx->pos,xx,IsTrack(trk));
ComputeBezierBoundingBox(trk,xx);
}
static void RotateBezier( track_p trk, coOrd orig, ANGLE_T angle )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
for (int i=0;i<COUNT(xx->pos);i++) {
Rotate( &xx->pos[i], orig, angle );
}
FixUpBezier(xx->pos,xx,IsTrack(trk));
ComputeBezierBoundingBox(trk,xx);
}
static void RescaleBezier( track_p trk, FLOAT_T ratio )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
xx->pos[0].x *= ratio;
xx->pos[0].y *= ratio;
xx->pos[1].x *= ratio;
xx->pos[1].y *= ratio;
xx->pos[2].x *= ratio;
xx->pos[2].y *= ratio;
xx->pos[3].x *= ratio;
xx->pos[3].y *= ratio;
FixUpBezier(xx->pos,xx,IsTrack(trk));
ComputeBezierBoundingBox(trk,xx);
}
EXPORT void AdjustBezierEndPt( track_p trk, EPINX_T inx, coOrd pos ) {
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
UndoModify(trk);
if (inx ==0 ) {
xx->pos[1].x += -xx->pos[0].x+pos.x;
xx->pos[1].y += -xx->pos[0].y+pos.y;
xx->pos[0] = pos;
}
else {
xx->pos[2].x += -xx->pos[3].x+pos.x;
xx->pos[2].y += -xx->pos[3].y+pos.y;
xx->pos[3] = pos;
}
FixUpBezier(xx->pos, xx, IsTrack(trk));
ComputeBezierBoundingBox(trk,xx);
SetTrkEndPoint( trk, inx, pos, inx==0?xx->a0:xx->a1);
}
/**
* Split the Track at approximately the point pos.
*/
static BOOL_T SplitBezier( track_p trk, coOrd pos, EPINX_T ep, track_p *leftover, EPINX_T * ep0, EPINX_T * ep1 )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
track_p trk1;
double t;
BOOL_T track;
track = IsTrack(trk);
coOrd current[4], newl[4], newr[4];
double dd = DistanceBezier(trk, &pos);
if (dd>minLength) return FALSE;
BezierMathDistance(&pos, xx->pos, 500, &t); //Find t value
for (int i=0;i<4;i++) {
current[i] = xx->pos[i];
}
BezierSplit(current, newl, newr, t);
if (track) {
trk1 = NewBezierTrack(ep?newr:newl,NULL,0);
//Move elev data from ep
} else
trk1 = NewBezierLine(ep?newr:newl,NULL,0, xx->segsColor,xx->segsWidth);
DIST_T height;
int opt;
GetTrkEndElev(trk,ep,&opt,&height);
UpdateTrkEndElev( trk1, ep, opt, height, (opt==ELEV_STATION)?GetTrkEndElevStation(trk,ep):NULL );
UndoModify(trk);
for (int i=0;i<4;i++) {
xx->pos[i] = ep?newl[i]:newr[i];
}
FixUpBezier(xx->pos,xx,track);
ComputeBezierBoundingBox(trk,xx);
SetTrkEndPoint( trk, ep, xx->pos[ep?3:0], ep?xx->a1:xx->a0);
UpdateTrkEndElev( trk, ep, ELEV_NONE, 0, NULL);
*leftover = trk1;
*ep0 = 1-ep;
*ep1 = ep;
return TRUE;
}
static int log_traverseBezier = 0;
static int log_bezierSegments = 0;
/*
* TraverseBezier is used to position a train/car.
* We find a new position and angle given a current pos, angle and a distance to travel.
*
* The output can be TRUE -> we have moved the point to a new point or to the start/end of the next track
* FALSE -> we have not found that point because pos was not on/near the track
*
* If true we supply the remaining distance to go (always positive).
* We detect the movement direction by comparing the current angle to the angle of the track at the point.
*
* Each segment may be processed forwards or in reverse (this really only applies to curved segments).
* So for each segment we call traverse1 to get the direction and extra distance to go to get to the current point
* and then use that for traverse2 to actually move to the new point
*
* If we exceed the current point's segment we move on to the next until the end of this track or we have found the spot.
*
*/
static BOOL_T TraverseBezier( traverseTrack_p trvTrk, DIST_T * distR )
{
track_p trk = trvTrk->trk;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
DIST_T dist = *distR;
segProcData_t segProcData;
BOOL_T segs_backwards= FALSE;
DIST_T d = DIST_INF;
coOrd pos2 = trvTrk->pos;
ANGLE_T a1,a2;
int inx,segInx = 0;
EPINX_T ep;
BOOL_T back,neg;
trkSeg_p segPtr = (trkSeg_p)xx->arcSegs.ptr;
a2 = GetAngleSegs( //Find correct Segment and nearest point in it
xx->arcSegs.cnt,segPtr,
&pos2, &segInx, &d , &back, NULL, &neg ); //d = how far pos2 from old pos2 = trvTrk->pos
if ( d > 10 ) {
ErrorMessage( "traverseBezier: Position is not near track: %0.3f", d );
return FALSE; //This means the input pos is not on or close to the track.
}
if (back) a2 = NormalizeAngle(a2+180); //GetAngleSegs has reversed angle for backwards
a1 = NormalizeAngle(a2-trvTrk->angle); //Establish if we are going fwds or backwards globally
if (a1 <270 && a1>90) { //Must add 180 if the seg is reversed or inverted (but not both)
segs_backwards = TRUE;
ep = 0;
} else {
segs_backwards = FALSE;
ep = 1;
}
if ( neg ) {
segs_backwards = !segs_backwards; //neg implies all the segs are reversed
ep = 1-ep; //other end
}
segProcData.traverse1.pos = pos2; //actual point on curve
segProcData.traverse1.angle = trvTrk->angle; //direction car is going for Traverse 1 has to be reversed...
LOG( log_traverseBezier, 1, ( " TraverseBezier [%0.3f %0.3f] D%0.3f A%0.3f SB%d \n", trvTrk->pos.x, trvTrk->pos.y, dist, trvTrk->angle, segs_backwards ) )
inx = segInx;
while (inx >=0 && inx<xx->arcSegs.cnt) {
segPtr = (trkSeg_p)xx->arcSegs.ptr+inx; //move in to the identified segment
SegProc( SEGPROC_TRAVERSE1, segPtr, &segProcData ); //Backwards or forwards for THIS segment - note that this can differ from segs_backward!!
BOOL_T backwards = segProcData.traverse1.backwards; //Are we going to EP0?
BOOL_T reverse_seg = segProcData.traverse1.reverse_seg; //is it a backwards segment (we don't actually care as Traverse1 takes care of it)
dist += segProcData.traverse1.dist;
segProcData.traverse2.dist = dist;
segProcData.traverse2.segDir = backwards;
LOG( log_traverseBezier, 2, ( " TraverseBezierT1 D%0.3f B%d RS%d \n", dist, backwards, reverse_seg ) )
SegProc( SEGPROC_TRAVERSE2, segPtr, &segProcData ); //Angle at pos2
if ( segProcData.traverse2.dist <= 0 ) { //-ve or zero distance left over so stop there
*distR = 0;
trvTrk->pos = segProcData.traverse2.pos;
trvTrk->angle = segProcData.traverse2.angle;
LOG( log_traverseBezier, 1, ( " -> [%0.3f %0.3f] A%0.3f D%0.3f\n", trvTrk->pos.x, trvTrk->pos.y, trvTrk->angle, *distR ) )
return TRUE;
} //NOTE Traverse1 and Traverse2 are overlays so get all out before storing
dist = segProcData.traverse2.dist; //How far left?
coOrd pos = segProcData.traverse2.pos; //Will be at seg end
ANGLE_T angle = segProcData.traverse2.angle; //Angle of end
segProcData.traverse1.angle = angle; //Reverse to suit Traverse1
segProcData.traverse1.pos = pos;
inx = segs_backwards?inx-1:inx+1; //Here's where the global segment direction comes in
LOG( log_traverseBezier, 2, ( " TraverseBezierL D%0.3f A%0.3f\n", dist, angle ) )
}
*distR = dist; //Tell caller what is left
//Must be at one end or another
trvTrk->pos = GetTrkEndPos(trk,ep);
trvTrk->angle = NormalizeAngle(GetTrkEndAngle(trk, ep));//+(segs_backwards?180:0))
trvTrk->trk = GetTrkEndTrk(trk,ep); //go to next track
if (trvTrk->trk==NULL) {
trvTrk->pos = pos2;
return TRUE;
}
LOG( log_traverseBezier, 1, ( " -> [%0.3f %0.3f] A%0.3f D%0.3f\n", trvTrk->pos.x, trvTrk->pos.y, trvTrk->angle, *distR ) )
return TRUE;
}
static BOOL_T MergeBezier(
track_p trk0,
EPINX_T ep0,
track_p trk1,
EPINX_T ep1 )
{
return FALSE;
}
static BOOL_T EnumerateBezier( track_p trk )
{
if ((trk != NULL) && (GetTrkType(trk) == T_BEZIER)) {
DIST_T d;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
d = max(BezierOffsetLength(xx->arcSegs,-GetTrkGauge(trk)/2.0),
BezierOffsetLength(xx->arcSegs,GetTrkGauge(trk)/2.0));
ScaleLengthIncrement( GetTrkScale(trk), d );
return TRUE;
}
return FALSE;
}
static DIST_T GetLengthBezier( track_p trk )
{
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
DIST_T length = 0.0;
segProcData_t segProcData;
for(int i=0;i<xx->arcSegs.cnt;i++) {
SegProc(SEGPROC_LENGTH,&(DYNARR_N(trkSeg_t,xx->arcSegs,i)), &segProcData);
length += segProcData.length.length;
}
return length;
}
EXPORT BOOL_T GetBezierMiddle( track_p trk, coOrd * pos) {
if (GetTrkType(trk) != T_BEZIER)
return FALSE;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
DIST_T length = GetLengthBezier(trk)/2;
traverseTrack_t tp;
tp.pos = GetTrkEndPos(trk,0);
tp.angle = NormalizeAngle(GetTrkEndAngle(trk,0)+180.0);
tp.trk = trk;
tp.length = length;
TraverseBezier(&tp,&length);
*pos = tp.pos;
return TRUE;
}
static BOOL_T GetParamsBezier( int inx, track_p trk, coOrd pos, trackParams_t * params )
{
int segInx;
BOOL_T back,negative;
DIST_T d;
params->type = curveTypeBezier;
struct extraDataBezier_t *xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
for (int i=0;i<4;i++) params->bezierPoints[i] = xx->pos[i];
params->len = xx->length;
params->track_angle = GetAngleSegs( //Find correct Segment and nearest point in it
xx->arcSegs.cnt,xx->arcSegs.ptr,
&pos, &segInx, &d , &back, NULL, &negative );
if ( negative != back ) params->track_angle = NormalizeAngle(params->track_angle+180); //Bezier is in reverse
trkSeg_p segPtr = &DYNARR_N(trkSeg_t,xx->arcSegs,segInx);
if (segPtr->type == SEG_STRLIN) {
params->arcR = 0.0;
} else {
params->arcR = fabs(segPtr->u.c.radius);
params->arcP = segPtr->u.c.center;
params->arcA0 = segPtr->u.c.a0;
params->arcA1 = segPtr->u.c.a1;
}
if ( inx == PARAMS_NODES ) {
if (GetTrkType(trk) == T_BEZIER) return FALSE;
//Pos is the place that is the end of the curve (params->ep set to 1 if the curve starts here)
if (FindDistance(pos,params->bezierPoints[0]) <= FindDistance(pos,params->bezierPoints[3]))
params->ep = 1;
else params->ep = 0;
coOrd curr_pos = params->bezierPoints[0];
BOOL_T first = TRUE;
DYNARR_RESET(coOrd,params->nodes);
// Load out the points in order from bezierPoint[0] to bezierPoint[3]
for (int i = 0; i<xx->arcSegs.cnt;i++) {
trkSeg_p segPtr = &DYNARR_N(trkSeg_t,xx->arcSegs,i);
if (segPtr->type == SEG_STRLIN) {
BOOL_T eps = FindDistance(segPtr->u.l.pos[0],curr_pos)>FindDistance(segPtr->u.l.pos[1],curr_pos);
if (first) {
first = FALSE;
DYNARR_APPEND(coOrd,params->nodes,1);
DYNARR_LAST(coOrd,params->nodes) = segPtr->u.l.pos[eps];
}
DYNARR_APPEND(coOrd,params->nodes,1);
DYNARR_LAST(coOrd,params->nodes) = segPtr->u.l.pos[1-eps];
} else {
coOrd start,end;
Translate(&start,segPtr->u.c.center,segPtr->u.c.a0,fabs(segPtr->u.c.radius));
Translate(&end,segPtr->u.c.center,segPtr->u.c.a0+segPtr->u.c.a1,fabs(segPtr->u.c.radius));
//Is this segment reversed in the curve?
BOOL_T back = FindDistance(start,curr_pos)>FindDistance(end,curr_pos);
if (segPtr->u.c.radius > 0.5) {
double min_angle = 360*acos(1.0-(0.1/fabs(segPtr->u.c.radius)))/M_PI; //Error max is 0.1"
double number = ceil(segPtr->u.c.a1/min_angle);
double arc_size = segPtr->u.c.a1/number;
if (back) {
//If back, list sub-points in reverse. If first show first position, else skip
for (int j=(((int)number)-(1-first));j>=0;j--) {
DYNARR_APPEND(coOrd,params->nodes,((int)number));
Translate(&DYNARR_LAST(coOrd,params->nodes),segPtr->u.c.center,segPtr->u.c.a0+j*arc_size,fabs(segPtr->u.c.radius) );
}
} else {
for (int j=(1-first);j<=number;j++) {
DYNARR_APPEND(coOrd,params->nodes,((int)number));
Translate(&DYNARR_LAST(coOrd,params->nodes),segPtr->u.c.center,segPtr->u.c.a0+j*arc_size,fabs(segPtr->u.c.radius) );
}
}
first = FALSE;
} else {
if (first) {
first = FALSE;
DYNARR_APPEND(coOrd,params->nodes,1);
DYNARR_LAST(coOrd,params->nodes) = back?end:start;
}
DYNARR_APPEND(coOrd,params->nodes,1);
DYNARR_LAST(coOrd,params->nodes) = back?start:end;
}
}
curr_pos = DYNARR_LAST(coOrd,params->nodes);
}
params->lineOrig = params->bezierPoints[params->ep?0:3];
params->lineEnd = params->bezierPoints[params->ep?3:0];
return TRUE;
} else if ((inx == PARAMS_CORNU) || (inx == PARAMS_1ST_JOIN) || (inx == PARAMS_2ND_JOIN)){
params->ep = PickEndPoint( pos, trk);
} else {
params->ep = PickUnconnectedEndPointSilent( pos, trk);
}
if (params->ep>=0)
params->angle = GetTrkEndAngle(trk, params->ep);
return TRUE;
}
static BOOL_T TrimBezier( track_p trk, EPINX_T ep, DIST_T dist, coOrd endpos, ANGLE_T angle, DIST_T radius, coOrd center ) {
UndrawNewTrack( trk );
DeleteTrack(trk, TRUE);
return TRUE;
}
static BOOL_T QueryBezier( track_p trk, int query )
{
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
switch ( query ) {
case Q_CAN_GROUP:
return FALSE;
break;
case Q_FLIP_ENDPTS:
return GetTrkType(trk) == T_BEZIER?TRUE:FALSE;
break;
case Q_HAS_DESC:
return TRUE;
break;
case Q_EXCEPTION:
return GetTrkType(trk) == T_BEZIER?fabs(xx->minCurveRadius) < (GetLayoutMinTrackRadius()-EPSILON):FALSE;
break;
case Q_CAN_MODIFY_CONTROL_POINTS:
return TRUE;
break;
case Q_CANNOT_PLACE_TURNOUT:
return FALSE;
break;
case Q_ISTRACK:
return GetTrkType(trk) == T_BEZIER?TRUE:FALSE;
break;
case Q_CAN_PARALLEL:
return TRUE;
break;
case Q_MODIFY_CAN_SPLIT:
return TRUE;
break;
case Q_CORNU_CAN_MODIFY:
return (GetTrkType(trk) == T_BEZIER);
case Q_GET_NODES:
return (GetTrkType(trk) == T_BZRLIN);
default:
return FALSE;
}
}
static void FlipBezier(
track_p trk,
coOrd orig,
ANGLE_T angle )
{
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
FlipPoint( &xx->pos[0], orig, angle );
FlipPoint( &xx->pos[1], orig, angle );
FlipPoint( &xx->pos[2], orig, angle );
FlipPoint( &xx->pos[3], orig, angle );
// Reverse control point order
coOrd pos = xx->pos[0];
xx->pos[0] = xx->pos[3];
xx->pos[3] = pos;
pos = xx->pos[1];
xx->pos[1] = xx->pos[2];
xx->pos[2] = pos;
FixUpBezier(xx->pos,xx,IsTrack(trk));
ComputeBezierBoundingBox(trk,xx);
}
static ANGLE_T GetAngleBezier(
track_p trk,
coOrd pos,
EPINX_T * ep0,
EPINX_T * ep1 )
{
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
ANGLE_T angle;
BOOL_T back, neg;
int indx;
angle = GetAngleSegs( xx->arcSegs.cnt, (trkSeg_p)xx->arcSegs.ptr, &pos, &indx, NULL, &back, NULL, &neg );
if (!back) angle = NormalizeAngle(angle+180); //Make CCW
if ( ep0 ) *ep0 = neg?1:0;
if ( ep1 ) *ep1 = neg?0:1;
return angle;
}
BOOL_T GetBezierSegmentFromTrack(track_p trk, trkSeg_p seg_p) {
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
seg_p->type = IsTrack(trk)?SEG_BEZTRK:SEG_BEZLIN;
for (int i=0;i<4;i++) seg_p->u.b.pos[i] = xx->pos[i];
seg_p->color = xx->segsColor;
seg_p->bezSegs.cnt = 0;
if (seg_p->bezSegs.ptr) MyFree(seg_p->bezSegs.ptr);
seg_p->bezSegs.max = 0;
seg_p->bezSegs.ptr = NULL;
FixUpBezierSeg(seg_p->u.b.pos,seg_p,seg_p->type == SEG_BEZTRK);
return TRUE;
}
BOOL_T GetTracksFromBezierSegment(trkSeg_p bezSeg, track_p newTracks[2], track_p trk) {
track_p trk_old = NULL;
newTracks[0] = NULL, newTracks[1] = NULL;
if (bezSeg->type != SEG_BEZTRK) return FALSE;
for (int i=0;i<bezSeg->bezSegs.cnt;i++) {
trkSeg_p seg = &DYNARR_N(trkSeg_t,bezSeg->bezSegs,i);
track_p new_trk;
if (seg->type == SEG_CRVTRK)
new_trk = NewCurvedTrack(seg->u.c.center,fabs(seg->u.c.radius),seg->u.c.a0,seg->u.c.a1,0);
else if (seg->type == SEG_STRTRK)
new_trk = NewStraightTrack(seg->u.l.pos[0],seg->u.l.pos[1]);
if (newTracks[0] == NULL) newTracks[0] = new_trk;
CopyAttributes( trk, new_trk );
newTracks[1] = new_trk;
if (trk_old) {
for (int i=0;i<2;i++) {
if (GetTrkEndTrk(trk_old,i)==NULL) {
coOrd pos = GetTrkEndPos(trk_old,i);
EPINX_T ep_n = PickUnconnectedEndPoint(pos,new_trk);
if ((connectDistance >= FindDistance(GetTrkEndPos(trk_old,i),GetTrkEndPos(new_trk,ep_n))) &&
(connectAngle >= fabs(DifferenceBetweenAngles(GetTrkEndAngle(trk_old,i),GetTrkEndAngle(new_trk,ep_n)+180))) ) {
ConnectTracks(trk_old,i,new_trk,ep_n);
break;
}
}
}
}
trk_old = new_trk;
}
return TRUE;
}
BOOL_T GetTracksFromBezierTrack(track_p trk, track_p newTracks[2]) {
trkSeg_t seg_temp;
newTracks[0] = NULL, newTracks[1] = NULL;
if (!IsTrack(trk)) return FALSE;
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_BEZIER, extraDataBezier_t);
seg_temp.type = SEG_BEZTRK;
for (int i=0;i<4;i++) seg_temp.u.b.pos[i] = xx->pos[i];
seg_temp.color = xx->segsColor;
seg_temp.bezSegs.cnt = 0;
seg_temp.bezSegs.max = 0;
//if (seg_temp->bezSegs.ptr) MyFree(seg_temp->bezSegs.ptr);
DYNARR_RESET(trkSeg_t,seg_temp.bezSegs);
FixUpBezierSeg(seg_temp.u.b.pos,&seg_temp,TRUE);
GetTracksFromBezierSegment(&seg_temp, newTracks, trk);
MyFree(seg_temp.bezSegs.ptr);
seg_temp.bezSegs.cnt = 0;
seg_temp.bezSegs.max = 0;
seg_temp.bezSegs.ptr = NULL;
return TRUE;
}
static BOOL_T MakeParallelBezier(
track_p trk,
coOrd pos,
DIST_T sep,
DIST_T factor,
track_p * newTrkR,
coOrd * p0R,
coOrd * p1R,
BOOL_T track)
{
struct extraDataBezier_t * xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
coOrd np[4], p;
ANGLE_T a0, a1,a2;
//Produce bezier that is translated parallel to the existing Bezier
// - not a precise result if the bezier end angles are not in the same general direction.
// The expectation is that the user will have to adjust it - unless and until we produce
// a new algo to adjust the control points to be parallel to the endpoints.
a0 = xx->a0;
a1 = xx->a1;
p = pos;
DistanceBezier(trk, &p);
a2 = NormalizeAngle(FindAngle(pos,p)-a0);
a2 = NormalizeAngle(FindAngle(pos,p)-a0);
//find parallel move x and y for points
for (int i =0; i<4;i++) {
np[i] = xx->pos[i];
}
sep = sep+factor/xx->minCurveRadius;
// Adjust sep based on radius and factor
if ( a2 > 180 ) {
Translate(&np[0],np[0],a0+90,sep);
Translate(&np[1],np[1],a0+90,sep);
Translate(&np[2],np[2],a1-90,sep);
Translate(&np[3],np[3],a1-90,sep);
} else {
Translate(&np[0],np[0],a0-90,sep);
Translate(&np[1],np[1],a0-90,sep);
Translate(&np[2],np[2],a1+90,sep);
Translate(&np[3],np[3],a1+90,sep);
}
if ( newTrkR ) {
if (track)
*newTrkR = NewBezierTrack( np, NULL, 0);
else
*newTrkR = NewBezierLine( np, NULL, 0, wDrawColorBlack, 0);
} else {
DYNARR_SET( trkSeg_t, tempSegs_da, 1 );
tempSegs(0).color = wDrawColorBlack;
tempSegs(0).width = 0;
tempSegs_da.cnt = 1;
tempSegs(0).type = track?SEG_BEZTRK:SEG_BEZLIN;
if (tempSegs(0).bezSegs.ptr) MyFree(tempSegs(0).bezSegs.ptr);
tempSegs(0).bezSegs.ptr = 0;
tempSegs(0).bezSegs.max = 0;
tempSegs(0).bezSegs.cnt = 0;
for (int i=0;i<4;i++) tempSegs(0).u.b.pos[i] = np[i];
FixUpBezierSeg(tempSegs(0).u.b.pos,&tempSegs(0),track);
}
if ( p0R ) *p0R = np[0];
if ( p1R ) *p1R = np[1];
return TRUE;
}
/*
* When an undo is run, the array of segs is missing - they are not saved to the Undo log. So Undo calls this routine to
* ensure
* - that the Segs are restored and
* - other fields reset.
* Not called for deleted tracks
*/
BOOL_T RebuildBezier (track_p trk)
{
ASSERT( trk != NULL && !IsTrackDeleted(trk) );
struct extraDataBezier_t *xx;
xx = GET_EXTRA_DATA(trk, T_NOTRACK, extraDataBezier_t);
xx->arcSegs.cnt = 0;
FixUpBezier(xx->pos,xx,IsTrack(trk));
ComputeBezierBoundingBox(trk, xx);
return TRUE;
}
BOOL_T MoveBezierEndPt ( track_p *trk, EPINX_T *ep, coOrd pos, DIST_T d0 ) {
track_p trk2;
struct extraDataBezier_t *xx;
if (SplitTrack(*trk,pos,*ep,&trk2,TRUE)) {
if (trk2) {
UndrawNewTrack( trk2 );
DeleteTrack(trk2,TRUE);
}
UndrawNewTrack( *trk );
xx = GET_EXTRA_DATA(*trk, T_NOTRACK, extraDataBezier_t);
SetTrkEndPoint( *trk, *ep, *ep?xx->pos[3]:xx->pos[0], *ep?xx->a1:xx->a0 );
DrawNewTrack( *trk );
return TRUE;
}
return FALSE;
}
static wBool_t CompareBezier( track_cp trk1, track_cp trk2 )
{
struct extraDataBezier_t *xx1 = GET_EXTRA_DATA( trk1, T_NOTRACK, extraDataBezier_t );
struct extraDataBezier_t *xx2 = GET_EXTRA_DATA( trk2, T_NOTRACK, extraDataBezier_t );
char * cp = message + strlen(message);
REGRESS_CHECK_POS( "Pos[0]", xx1, xx2, pos[0] )
REGRESS_CHECK_POS( "Pos[1]", xx1, xx2, pos[1] )
REGRESS_CHECK_POS( "Pos[2]", xx1, xx2, pos[2] )
REGRESS_CHECK_POS( "Pos[3]", xx1, xx2, pos[3] )
REGRESS_CHECK_DIST( "MinCurveRadius", xx1, xx2, minCurveRadius )
REGRESS_CHECK_ANGLE( "A0", xx1, xx2, a0 )
REGRESS_CHECK_ANGLE( "A1", xx1, xx2, a1 )
// Check arcSegs
REGRESS_CHECK_DIST( "Length", xx1, xx2, length )
REGRESS_CHECK_POS( "DescOff", xx1, xx2, descriptionOff )
REGRESS_CHECK_WIDTH( "SegsWidth", xx1, xx2, segsWidth )
REGRESS_CHECK_COLOR( "SegsColor", xx1, xx2, segsColor )
REGRESS_CHECK_INT( "LineType", xx1, xx2, lineType )
return TRUE;
}
static trackCmd_t bezlinCmds = {
"BZRLIN",
DrawBezier,
DistanceBezier,
DescribeBezier,
DeleteBezier,
WriteBezier,
ReadBezier,
MoveBezier,
RotateBezier,
RescaleBezier,
NULL,
GetAngleBezier,
SplitBezier,
NULL,
NULL,
NULL, /* redraw */
NULL, /* trim */
MergeBezier,
NULL, /* modify */
GetLengthBezier,
GetParamsBezier,
NULL, /* Move EndPt */
QueryBezier,
NULL, /* ungroup */
FlipBezier,
NULL,
NULL,
NULL,
MakeParallelBezier,
NULL,
RebuildBezier,
NULL,
NULL,
NULL,
CompareBezier
};
static trackCmd_t bezierCmds = {
"BEZIER",
DrawBezier,
DistanceBezier,
DescribeBezier,
DeleteBezier,
WriteBezier,
ReadBezier,
MoveBezier,
RotateBezier,
RescaleBezier,
NULL,
GetAngleBezier,
SplitBezier,
TraverseBezier,
EnumerateBezier,
NULL, /* redraw */
TrimBezier, /* trim */
MergeBezier,
NULL, /* modify */
GetLengthBezier,
GetParamsBezier,
MoveBezierEndPt, /* Move EndPt */
QueryBezier,
NULL, /* ungroup */
FlipBezier,
NULL,
NULL,
NULL,
MakeParallelBezier,
NULL,
RebuildBezier,
NULL,
NULL,
NULL,
CompareBezier
};
EXPORT void BezierSegProc(
segProc_e cmd,
trkSeg_p segPtr,
segProcData_p data )
{
ANGLE_T a1, a2;
DIST_T d, dd;
coOrd p0,p2 ;
segProcData_t segProcData;
trkSeg_p subSegsPtr;
coOrd temp0,temp1,temp2,temp3;
int inx,segInx;
BOOL_T back, segs_backwards, neg;
#define bezSegs(N) DYNARR_N( trkSeg_t, segPtr->bezSegs, N )
switch (cmd) {
case SEGPROC_TRAVERSE1: //Work out how much extra dist and what direction
if (segPtr->type != SEG_BEZTRK) {
data->traverse1.dist = 0;
return;
}
d = data->traverse1.dist;
p0 = data->traverse1.pos;
LOG( log_bezierSegments, 1, ( " BezTr1-Enter P[%0.3f %0.3f] A%0.3f\n", p0.x, p0.y, data->traverse1.angle ))
a2 = GetAngleSegs(segPtr->bezSegs.cnt,segPtr->bezSegs.ptr,&p0,&segInx,&d,&back, NULL, &neg); //Find right seg and pos
inx = segInx;
data->traverse1.BezSegInx = segInx;
data->traverse1.reverse_seg = FALSE;
data->traverse1.backwards = FALSE;
if (d>10) {
data->traverse1.dist = 0;
return;
}
if (back) a2 = NormalizeAngle(a2+180);
a1 = NormalizeAngle(a2-data->traverse1.angle); //Establish if we are going fwds or backwards globally
if (a1<270 && a1>90) { //Must add 180 if the seg is reversed or inverted (but not both)
segs_backwards = TRUE;
} else {
segs_backwards = FALSE;
}
if ( neg ) {
segs_backwards = !segs_backwards; //neg implies all the segs are reversed
}
segProcData.traverse1.pos = data->traverse1.pos = p0; //actual point on curve
segProcData.traverse1.angle = data->traverse1.angle; //Angle of car
LOG( log_bezierSegments, 1, ( " BezTr1-GSA I%d P[%0.3f %0.3f] N%d SB%d\n", segInx, p0.x, p0.y, neg, segs_backwards ))
subSegsPtr = (trkSeg_p)segPtr->bezSegs.ptr+inx;
SegProc( SEGPROC_TRAVERSE1, subSegsPtr, &segProcData );
data->traverse1.reverse_seg = segProcData.traverse1.reverse_seg; //which way is curve (info)
data->traverse1.backwards = segProcData.traverse1.backwards; //Pass through Train direction
data->traverse1.dist = segProcData.traverse1.dist; //Get last seg partial dist
data->traverse1.segs_backwards = segs_backwards; //Get last
data->traverse1.negative = segProcData.traverse1.negative; //Is curve flipped (info)
data->traverse1.BezSegInx = inx; //Copy up Index
LOG( log_bezierSegments, 1, ( " BezTr1-Exit -> A%0.3f B%d R%d N%d D%0.3f\n", a2, segProcData.traverse1.backwards, segProcData.traverse1.reverse_seg, segProcData.traverse1.negative, segProcData.traverse1.dist ))
break;
case SEGPROC_TRAVERSE2:
if (segPtr->type != SEG_BEZTRK) return; //Not SEG_BEZLIN
LOG( log_bezierSegments, 1, ( " BezTr2-Enter D%0.3f SD%d SI%d SB%d\n", data->traverse2.dist, data->traverse2.segDir, data->traverse2.BezSegInx, data->traverse2.segs_backwards))
segProcData.traverse2.pos = data->traverse2.pos;
DIST_T dist = data->traverse2.dist;
segProcData.traverse2.dist = data->traverse2.dist;
segProcData.traverse2.angle = data->traverse2.angle;
segProcData.traverse2.segDir = data->traverse2.segDir;
segs_backwards = data->traverse2.segs_backwards;
BOOL_T backwards = data->traverse2.segDir;
inx = data->traverse2.BezSegInx; //Special from Traverse1
while (inx>=0 && inx<segPtr->bezSegs.cnt) {
subSegsPtr = (trkSeg_p)segPtr->bezSegs.ptr+inx;
SegProc(SEGPROC_TRAVERSE2, subSegsPtr, &segProcData);
if (segProcData.traverse2.dist<=0) { //Done
data->traverse2.angle = segProcData.traverse2.angle;
data->traverse2.dist = 0;
data->traverse2.pos = segProcData.traverse2.pos;
LOG( log_bezierSegments, 1, ( " BezTr2-Exit1 -> A%0.3f P[%0.3f %0.3f] \n", data->traverse2.angle, data->traverse2.pos.x, data->traverse2.pos.y ))
return;
} else dist = segProcData.traverse2.dist;
p2 = segProcData.traverse2.pos;
a2 = segProcData.traverse2.angle;
LOG( log_bezierSegments, 2, ( " BezTr2-Tr2 D%0.3f P[%0.3f %0.3f] A%0.3f\n", dist, p2.x, p2.y, a2 ))
segProcData.traverse1.pos = p2;
segProcData.traverse1.angle = a2 ;
inx = segs_backwards?inx-1:inx+1;
if (inx<0 || inx>=segPtr->bezSegs.cnt) break;
subSegsPtr = (trkSeg_p)segPtr->bezSegs.ptr+inx;
SegProc(SEGPROC_TRAVERSE1, subSegsPtr, &segProcData);
BOOL_T reverse_seg = segProcData.traverse1.reverse_seg; //For Info only
backwards = segProcData.traverse1.backwards;
BOOL_T neg_seg = segProcData.traverse1.negative;
dist += segProcData.traverse1.dist; //Add extra if needed - this is if we have to go from the other end of this seg
segProcData.traverse2.dist = dist; //distance left
segProcData.traverse2.segDir = backwards; //which way
segProcData.traverse2.pos = p2;
segProcData.traverse2.angle = NormalizeAngle(a2 + neg_seg?180:0);
LOG( log_bezierSegments, 2, ( " BezTr2-Loop A%0.3f P[%0.3f %0.3f] D%0.3f SI%d B%d RS%d\n", a2, p2.x, p2.y, dist, inx, backwards, reverse_seg ))
}
data->traverse2.dist = dist;
if (segs_backwards) {
data->traverse2.pos = segPtr->u.b.pos[0]; // Backwards so point 0
data->traverse2.angle = segPtr->u.b.angle0;
} else {
data->traverse2.pos = segPtr->u.b.pos[3]; // Forwards so point 3
data->traverse2.angle = segPtr->u.b.angle3;
}
LOG( log_bezierSegments, 1, ( " BezTr-Exit2 --> SI%d A%0.3f P[%0.3f %0.3f] D%0.3f\n", inx, data->traverse2.angle, data->traverse2.pos.x, data->traverse2.pos.y, data->traverse2.dist))
break;
case SEGPROC_DRAWROADBEDSIDE:
//TODO - needs parallel bezier problem solved...
break;
case SEGPROC_DISTANCE:
dd = DIST_INF; //Just find one distance
p0 = data->distance.pos1;
//initialize p2
p2 = segPtr->u.b.pos[0];
for(int i=0;i<segPtr->bezSegs.cnt;i++) {
segProcData.distance.pos1 = p0;
SegProc(SEGPROC_DISTANCE,&(DYNARR_N(trkSeg_t,segPtr->bezSegs,i)),&segProcData);
d = segProcData.distance.dd;
if (d<dd) {
dd = d;
p2 = segProcData.distance.pos1;
}
}
data->distance.dd = dd;
data->distance.pos1 = p2;
break;
case SEGPROC_FLIP:
temp0 = segPtr->u.b.pos[0];
temp1 = segPtr->u.b.pos[1];
temp2 = segPtr->u.b.pos[2];
temp3 = segPtr->u.b.pos[3];
segPtr->u.b.pos[0] = temp3;
segPtr->u.b.pos[1] = temp2;
segPtr->u.b.pos[2] = temp1;
segPtr->u.b.pos[3] = temp0;
FixUpBezierSeg(segPtr->u.b.pos,segPtr,segPtr->type == SEG_BEZTRK);
break;
case SEGPROC_NEWTRACK:
data->newTrack.trk = NewBezierTrack( segPtr->u.b.pos, (trkSeg_t *)segPtr->bezSegs.ptr, segPtr->bezSegs.cnt);
data->newTrack.ep[0] = 0;
data->newTrack.ep[1] = 1;
break;
case SEGPROC_LENGTH:
data->length.length = 0;
for(int i=0;i<segPtr->bezSegs.cnt;i++) {
SegProc(cmd,&(DYNARR_N(trkSeg_t,segPtr->bezSegs,i)),&segProcData);
data->length.length += segProcData.length.length;
}
break;
case SEGPROC_SPLIT: ;
wIndex_t subinx;
double t;
double dd;
coOrd split_p = data->split.pos;
ANGLE_T angle = GetAngleSegs(segPtr->bezSegs.cnt,(trkSeg_p)segPtr->bezSegs.ptr, &split_p, &inx, &dd, &back, &subinx, NULL);
coOrd current[4];
BezierMathDistance(&split_p, segPtr->u.b.pos, 500, &t); //Find t value
for (int i=0;i<4;i++) {
current[i] = segPtr->u.b.pos[i];
}
for (int i=0;i<2;i++) {
data->split.newSeg[i].type = segPtr->type;
data->split.newSeg[i].color = segPtr->color;
data->split.newSeg[i].width = segPtr->width;
data->split.newSeg[i].bezSegs.ptr = NULL;
data->split.newSeg[i].bezSegs.cnt = 0;
data->split.newSeg[i].bezSegs.max = 0;
}
BezierSplit(segPtr->u.b.pos, data->split.newSeg[0].u.b.pos, data->split.newSeg[1].u.b.pos, t);
FixUpBezierSeg(data->split.newSeg[0].u.b.pos,&data->split.newSeg[0],segPtr->type == SEG_BEZTRK);
FixUpBezierSeg(data->split.newSeg[1].u.b.pos,&data->split.newSeg[1],segPtr->type == SEG_BEZTRK);
data->split.length[0] = data->split.newSeg[0].u.b.length;
data->split.length[1] = data->split.newSeg[1].u.b.length;
data->split.pos = split_p;
break;
case SEGPROC_GETANGLE:
inx = 0;
back = FALSE;
subSegsPtr = (trkSeg_p) segPtr->bezSegs.ptr;
coOrd pos = data->getAngle.pos;
LOG( log_bezierSegments, 1, ( " BezGA-In P[%0.3f %0.3f] \n", pos.x, pos.y))
data->getAngle.angle = GetAngleSegs(segPtr->bezSegs.cnt,subSegsPtr, &pos, &inx, NULL, &back, NULL, NULL);
//Recurse for Bezier sub-segs (only straights and curves)
data->getAngle.negative_radius = FALSE;
data->getAngle.backwards = back;
data->getAngle.pos = pos;
data->getAngle.bezSegInx = inx;
subSegsPtr +=inx;
if (subSegsPtr->type == SEG_CRVTRK || subSegsPtr->type == SEG_CRVLIN ) {
data->getAngle.radius = fabs(subSegsPtr->u.c.radius);
if (subSegsPtr->u.c.radius<0 ) data->getAngle.negative_radius = TRUE;
data->getAngle.center = subSegsPtr->u.c.center;
}
else data->getAngle.radius = 0.0;
LOG( log_bezierSegments, 1, ( " BezGA-Out SI%d A%0.3f P[%0.3f %0.3f] B%d\n", inx, data->getAngle.angle, pos.x, pos.y, back))
break;
}
}
/****************************************
*
* GRAPHICS COMMANDS
*
*/
EXPORT void SetBezierData( track_p p, coOrd pos[4], wDrawColor color, DIST_T width )
{
BOOL_T bTrack = (GetTrkType(p) == T_BEZIER);
struct extraDataBezier_t *xx = GET_EXTRA_DATA(p, T_NOTRACK, extraDataBezier_t);
xx->pos[0] = pos[0];
xx->pos[1] = pos[1];
xx->pos[2] = pos[2];
xx->pos[3] = pos[3];
xx->a0 = FindAngle(pos[1],pos[0]);
xx->a1 = FindAngle(pos[2],pos[3]);
xx->segsColor = color;
xx->segsWidth = width;
FixUpBezier(pos, xx, bTrack);
ComputeBezierBoundingBox( p, xx );
if ( bTrack ) {
// Should call SetTrkEndPoint but we may be already connected
p->endPt[0].pos = pos[0];
p->endPt[0].angle = xx->a0;
p->endPt[1].pos = pos[3];
p->endPt[1].angle = xx->a1;
CheckTrackLength( p );
SetTrkBits( p, TB_HIDEDESC );
}
}
track_p NewBezierTrack(coOrd pos[4], trkSeg_t * tempsegs, int count)
{
track_p p;
p = NewTrack( 0, T_BEZIER, 2, sizeof *(extraDataBezier_t*)NULL );
SetBezierData( p, pos, wDrawColorBlack, 0 );
LOG( log_bezier, 1, ( "NewBezierTrack( EP1 %0.3f, %0.3f, CP1 %0.3f, %0.3f, CP2 %0.3f, %0.3f, EP2 %0.3f, %0.3f ) = %d\n", pos[0].x, pos[0].y, pos[1].x, pos[1].y, pos[2].x, pos[2].y, pos[3].x, pos[3].y, GetTrkIndex(p) ) )
return p;
}
EXPORT track_p NewBezierLine( coOrd pos[4], trkSeg_t * tempsegs, int count, wDrawColor color, DIST_T width )
{
track_p p;
p = NewTrack( 0, T_BZRLIN, 0, sizeof *(extraDataBezier_t*)NULL ); //No endpoints
SetBezierData( p, pos, color, width );
LOG( log_bezier, 1, ( "NewBezierLine( EP1 %0.3f, %0.3f, CP1 %0.3f, %0.3f, CP2 %0.3f, %0.3f, EP2 %0.3f, %0.3f) = %d\n", pos[0].x, pos[0].y, pos[1].x, pos[1].y, pos[2].x, pos[2].y, pos[3].x, pos[3].y, GetTrkIndex(p) ) )
return p;
}
EXPORT void InitTrkBezier( void )
{
T_BEZIER = InitObject( &bezierCmds );
T_BZRLIN = InitObject( &bezlinCmds );
log_bezier = LogFindIndex( "Bezier" );
log_traverseBezier = LogFindIndex( "traverseBezier" );
log_bezierSegments = LogFindIndex( "traverseBezierSegs");
}
/********************************************************************************
*
* Bezier Functions
*
********************************************************************************/
/**
* Return point on Bezier using "t" (from 0 to 1)
*/
extern coOrd BezierPointByParameter(coOrd p[4], double t)
{
double a,b,c,d;
double mt = 1-t;
double mt2 = mt*mt;
double t2 = t*t;
a = mt2*mt;
b = mt2*t*3;
c = mt*t2*3;
d = t*t2;
coOrd o;
o.x = a*p[0].x+b*p[1].x+c*p[2].x+d*p[3].x;
o.y = a*p[0].y+b*p[1].y+c*p[2].y+d*p[3].y;
return o;
}
/**
* Find distance from point to Bezier. Return also the "t" value of that closest point.
*/
extern DIST_T BezierMathDistance( coOrd * pos, coOrd p[4], int segments, double * t_value)
{
DIST_T dd = DIST_INF;
double t = 0.0;
coOrd pt;
coOrd save_pt = p[0];
for (int i=0; i<=segments; i++) {
pt = BezierPointByParameter(p, (double)i/segments);
if (FindDistance(*pos,pt) < dd) {
dd = FindDistance(*pos,pt);
t = (double)i/segments;
save_pt = pt;
}
}
if (t_value) *t_value = t;
* pos = save_pt;
return dd;
}
extern coOrd BezierMathFindNearestPoint(coOrd *pos, coOrd p[4], int segments) {
double t = 0.0;
BezierMathDistance(pos, p, segments, &t);
return BezierPointByParameter(p, t);
}
void BezierSlice(coOrd input[], coOrd output[], double t) {
coOrd p1,p12,p2,p23,p3,p34,p4;
coOrd p123, p234, p1234;
p1 = input[0];
p2 = input[1];
p3 = input[2];
p4 = input[3];
p12.x = (p2.x-p1.x)*t+p1.x;
p12.y = (p2.y-p1.y)*t+p1.y;
p23.x = (p3.x-p2.x)*t+p2.x;
p23.y = (p3.y-p2.y)*t+p2.y;
p34.x = (p4.x-p3.x)*t+p3.x;
p34.y = (p4.y-p3.y)*t+p3.y;
p123.x = (p23.x-p12.x)*t+p12.x;
p123.y = (p23.y-p12.y)*t+p12.y;
p234.x = (p34.x-p23.x)*t+p23.x;
p234.y = (p34.y-p23.y)*t+p23.y;
p1234.x = (p234.x-p123.x)*t+p123.x;
p1234.y = (p234.y-p123.y)*t+p123.y;
output[0]= p1;
output[1] = p12;
output[2] = p123;
output[3] = p1234;
};
/**
* Split bezier into two parts
*/
extern void BezierSplit(coOrd input[], coOrd left[], coOrd right[] , double t) {
BezierSlice(input,left,t);
coOrd back[4],backright[4];
for (int i = 0;i<4;i++) {
back[i] = input[3-i];
}
BezierSlice(back,backright,1-t);
for (int i = 0;i<4;i++) {
right[i] = backright[3-i];
}
}
/**
* If close enough (length of control polygon exceeds chord by < error) add length of polygon.
* Else split and recurse
*/
double BezierAddLengthIfClose(coOrd start[4], double error) {
coOrd left[4], right[4]; /* bez poly splits */
double len = 0.0; /* arc length */
double chord; /* chord length */
int index; /* misc counter */
for (index = 0; index <= 2; index++)
len = len + FindDistance(start[index],start[index+1]); //add up control polygon
chord = FindDistance(start[0],start[3]); //find chord length
if((len-chord) > error) { // If error too large -
BezierSplit(start,left,right,0.5); /* split in two */
len = BezierAddLengthIfClose(left, error); /* recurse left side */
len += BezierAddLengthIfClose(right, error); /* recurse right side */
}
return len; // Add length of this curve
}
/**
* Use recursive splitting to get close approximation ot length of bezier
*
*/
extern double BezierMathLength(coOrd p[4], double error)
{
if (error == 0.0) error = 0.01;
return BezierAddLengthIfClose(p, error); /* kick off recursion */
}
coOrd BezierFirstDerivative(coOrd p[4], double t)
{
//checkParameterT(t);
double tSquared = t * t;
double s0 = -3 + 6 * t - 3 * tSquared;
double s1 = 3 - 12 * t + 9 * tSquared;
double s2 = 6 * t - 9 * tSquared;
double s3 = 3 * tSquared;
double resultX = p[0].x * s0 + p[1].x * s1 + p[2].x * s2 + p[3].x * s3;
double resultY = p[0].y * s0 + p[1].y * s1 + p[2].y * s2 + p[3].y * s3;
coOrd v;
v.x = resultX;
v.y = resultY;
return v;
}
/**
* Gets 2nd derivate wrt t of a Bezier curve at a point
*/
coOrd BezierSecondDerivative(coOrd p[4], double t)
{
//checkParameterT(t);
double s0 = 6 - 6 * t;
double s1 = -12 + 18 * t;
double s2 = 6 - 18 * t;
double s3 = 6 * t;
double resultX = p[0].x * s0 + p[1].x * s1 + p[2].x * s2 + p[3].x * s3;
double resultY = p[0].y * s0 + p[1].y * s1 + p[2].y * s2 + p[3].y * s3;
coOrd v;
v.x = resultX;
v.y = resultY;
return v;
}
/**
* Get curvature of a Bezier at a point
*/
extern double BezierCurvature(coOrd p[4], double t, coOrd * center)
{
//checkParameterT(t);
coOrd d1 = BezierFirstDerivative(p, t);
coOrd d2 = BezierSecondDerivative(p, t);
if (center) {
double curvnorm = (d1.x * d1.x + d1.y* d1.y)/(d1.x * d2.y - d2.x * d1.y);
coOrd p = BezierPointByParameter(&p, t);
center->x = p.x-d1.y*curvnorm;
center->y = p.y+d1.x*curvnorm;
}
double r1 = sqrt(pow(d1.x * d1.x + d1.y* d1.y, 3.0));
double r2 = fabs(d1.x * d2.y - d2.x * d1.y);
return r2 / r1;
}
/**
* Get Maximum Curvature
*/
extern double BezierMaxCurve(coOrd p[4]) {
double max = 0;
for (int t = 0;t<100;t++) {
double curv = BezierCurvature(p, t/100, NULL);
if (max<curv) max = curv;
}
return max;
}
/**
* Get Minimum Radius
*/
extern double BezierMathMinRadius(coOrd p[4]) {
double curv = BezierMaxCurve(p);
if (curv >= 1000.0 || curv <= 0.001 ) return 0.0;
return 1/curv;
}
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