2002-10-12 11:37:38 +00:00
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2003-04-25 15:48:11 +00:00
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/* curve.c
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2002-10-12 11:37:38 +00:00
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*
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*
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* $Id$
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*
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* ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version. The Blender
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* Foundation also sells licenses for use in proprietary software under
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* the Blender License. See http://www.blender.org/BL/ for information
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* about this.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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*
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* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
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* All rights reserved.
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*
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* The Original Code is: all of this file.
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*
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* Contributor(s): none yet.
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*
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* ***** END GPL/BL DUAL LICENSE BLOCK *****
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*/
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#define STRUBI hack
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#include <math.h> // floor
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#include <string.h>
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#include <stdlib.h>
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2002-11-25 12:02:15 +00:00
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#ifdef HAVE_CONFIG_H
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#include <config.h>
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#endif
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2002-10-12 11:37:38 +00:00
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#include "MEM_guardedalloc.h"
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#include "BLI_blenlib.h"
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#include "BLI_arithb.h"
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#include "DNA_object_types.h"
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#include "DNA_curve_types.h"
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#include "DNA_material_types.h"
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/* for dereferencing pointers */
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#include "DNA_ID.h"
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#include "DNA_vfont_types.h"
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#include "DNA_key_types.h"
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#include "DNA_ipo_types.h"
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#include "BKE_global.h"
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#include "BKE_main.h"
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#include "BKE_utildefines.h" // VECCOPY
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#include "BKE_object.h"
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#include "BKE_mesh.h"
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#include "BKE_curve.h"
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#include "BKE_displist.h"
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#include "BKE_ipo.h"
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#include "BKE_anim.h"
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#include "BKE_library.h"
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#include "BKE_key.h"
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/* globals */
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extern ListBase editNurb; /* editcurve.c */
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/* local */
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int cu_isectLL(float *v1, float *v2, float *v3, float *v4,
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short cox, short coy,
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float *labda, float *mu, float *vec);
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#ifdef STRUBI
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/* hotfix; copies x*y array into extended (x+dx)*(y+dy) array
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old[] and new[] can be the same ! */
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int copyintoExtendedArray(float *old, int oldx, int oldy, float *new, int newx, int newy)
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{
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2002-10-30 00:37:19 +00:00
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int x, y, ttt, ooo;
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2002-10-12 11:37:38 +00:00
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float *oldp, *newp;
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2002-10-30 00:37:19 +00:00
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2002-10-12 11:37:38 +00:00
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if (newx < oldx || newy < oldy) return 0;
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for (y = newy - 1; y >= oldy; y--) {
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2002-10-30 00:37:19 +00:00
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ttt = y * newx;
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2002-10-12 11:37:38 +00:00
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for (x = newx - 1; x >= 0; x--) {
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2002-10-30 00:37:19 +00:00
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newp = new + 3 * (ttt + x);
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2002-10-12 11:37:38 +00:00
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newp[0] = 0.0; newp[1] = 0.0; newp[2] = 0.0;
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}
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}
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for (; y >= 0; y--) {
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2002-10-30 00:37:19 +00:00
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ttt = y * newx;
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ooo = y * oldx;
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2002-10-12 11:37:38 +00:00
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for (x = newx - 1; x >= oldx; x--) {
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2002-10-30 00:37:19 +00:00
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newp = new + 3 * (ttt + x);
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2002-10-12 11:37:38 +00:00
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newp[0] = 0.0; newp[1] = 0.0; newp[2] = 0.0;
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}
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for (; x >= 0; x--) {
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2002-10-30 00:37:19 +00:00
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oldp = old + 3 * (ooo + x);
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newp = new + 3 * (ttt + x);
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2002-10-12 11:37:38 +00:00
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VECCOPY(newp, oldp);
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}
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}
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return 1;
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}
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#endif
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void unlink_curve(Curve *cu)
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{
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int a;
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for(a=0; a<cu->totcol; a++) {
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if(cu->mat[a]) cu->mat[a]->id.us--;
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cu->mat[a]= 0;
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}
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if(cu->vfont) cu->vfont->id.us--;
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cu->vfont= 0;
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if(cu->key) cu->key->id.us--;
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cu->key= 0;
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if(cu->ipo) cu->ipo->id.us--;
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cu->ipo= 0;
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}
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/* niet curve zelf vrijgeven */
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void free_curve(Curve *cu)
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{
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freeNurblist(&cu->nurb);
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BLI_freelistN(&cu->bev);
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freedisplist(&cu->disp);
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unlink_curve(cu);
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if(cu->mat) MEM_freeN(cu->mat);
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if(cu->str) MEM_freeN(cu->str);
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2005-06-17 21:04:27 +00:00
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if(cu->strinfo) MEM_freeN(cu->strinfo);
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2002-10-12 11:37:38 +00:00
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if(cu->bb) MEM_freeN(cu->bb);
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if(cu->path) free_path(cu->path);
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2005-06-17 21:04:27 +00:00
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if(cu->tb) MEM_freeN(cu->tb);
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2002-10-12 11:37:38 +00:00
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}
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Curve *add_curve(int type)
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{
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Curve *cu;
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char *str;
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if(type==OB_CURVE) str= "Curve";
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else if(type==OB_SURF) str= "Surf";
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else str= "Text";
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cu= alloc_libblock(&G.main->curve, ID_CU, str);
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cu->size[0]= cu->size[1]= cu->size[2]= 1.0;
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cu->flag= CU_FRONT+CU_BACK;
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cu->pathlen= 100;
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cu->resolu= cu->resolv= 6;
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cu->width= 1.0;
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2005-06-17 21:04:27 +00:00
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cu->wordspace = 1.0;
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2002-10-12 11:37:38 +00:00
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cu->spacing= cu->linedist= 1.0;
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cu->fsize= 1.0;
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2004-03-14 16:59:48 +00:00
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cu->texflag= CU_AUTOSPACE;
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2002-10-12 11:37:38 +00:00
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cu->bb= unit_boundbox();
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return cu;
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}
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Curve *copy_curve(Curve *cu)
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{
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Curve *cun;
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int a;
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cun= copy_libblock(cu);
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cun->nurb.first= cun->nurb.last= 0;
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duplicateNurblist( &(cun->nurb), &(cu->nurb));
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cun->mat= MEM_dupallocN(cu->mat);
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for(a=0; a<cun->totcol; a++) {
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id_us_plus((ID *)cun->mat[a]);
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}
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cun->str= MEM_dupallocN(cu->str);
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2005-06-17 21:04:27 +00:00
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cun->strinfo= MEM_dupallocN(cu->strinfo);
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cun->tb= MEM_dupallocN(cu->tb);
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2002-10-12 11:37:38 +00:00
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cun->bb= MEM_dupallocN(cu->bb);
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cun->key= copy_key(cu->key);
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if(cun->key) cun->key->from= (ID *)cun;
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cun->disp.first= cun->disp.last= 0;
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cun->bev.first= cun->bev.last= 0;
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cun->path= 0;
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2003-04-25 15:48:11 +00:00
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/* single user ipo too */
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2002-10-12 11:37:38 +00:00
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if(cun->ipo) cun->ipo= copy_ipo(cun->ipo);
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id_us_plus((ID *)cun->vfont);
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2005-06-17 21:04:27 +00:00
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id_us_plus((ID *)cun->vfontb);
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id_us_plus((ID *)cun->vfonti);
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id_us_plus((ID *)cun->vfontbi);
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2002-10-12 11:37:38 +00:00
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return cun;
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}
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void make_local_curve(Curve *cu)
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{
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Object *ob = 0;
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Curve *cun;
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int local=0, lib=0;
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2003-04-25 15:48:11 +00:00
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/* - when there are only lib users: don't do
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* - when there are only local users: set flag
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* - mixed: do a copy
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2002-10-12 11:37:38 +00:00
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*/
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if(cu->id.lib==0) return;
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if(cu->vfont) cu->vfont->id.lib= 0;
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if(cu->id.us==1) {
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cu->id.lib= 0;
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cu->id.flag= LIB_LOCAL;
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new_id(0, (ID *)cu, 0);
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return;
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}
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ob= G.main->object.first;
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while(ob) {
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if(ob->data==cu) {
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if(ob->id.lib) lib= 1;
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else local= 1;
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}
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ob= ob->id.next;
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}
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if(local && lib==0) {
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cu->id.lib= 0;
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cu->id.flag= LIB_LOCAL;
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new_id(0, (ID *)cu, 0);
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}
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else if(local && lib) {
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cun= copy_curve(cu);
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cun->id.us= 0;
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ob= G.main->object.first;
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while(ob) {
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if(ob->data==cu) {
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if(ob->id.lib==0) {
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ob->data= cun;
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cun->id.us++;
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cu->id.us--;
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}
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}
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ob= ob->id.next;
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}
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}
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}
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void test_curve_type(Object *ob)
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{
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Nurb *nu;
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Curve *cu;
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cu= ob->data;
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if(cu->vfont) {
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ob->type= OB_FONT;
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return;
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}
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else {
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nu= cu->nurb.first;
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while(nu) {
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if(nu->pntsv>1) {
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ob->type= OB_SURF;
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return;
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}
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nu= nu->next;
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}
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}
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ob->type= OB_CURVE;
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}
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void tex_space_curve(Curve *cu)
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{
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DispList *dl;
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BoundBox *bb;
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float *data, min[3], max[3], loc[3], size[3];
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int tot, doit= 0;
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if(cu->bb==0) cu->bb= MEM_callocN(sizeof(BoundBox), "boundbox");
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bb= cu->bb;
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INIT_MINMAX(min, max);
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dl= cu->disp.first;
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while(dl) {
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if(dl->type==DL_INDEX3 || dl->type==DL_INDEX3) tot= dl->nr;
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else tot= dl->nr*dl->parts;
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if(tot) doit= 1;
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data= dl->verts;
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while(tot--) {
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DO_MINMAX(data, min, max);
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data+= 3;
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}
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dl= dl->next;
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}
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if(doit) {
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loc[0]= (min[0]+max[0])/2.0f;
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loc[1]= (min[1]+max[1])/2.0f;
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loc[2]= (min[2]+max[2])/2.0f;
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size[0]= (max[0]-min[0])/2.0f;
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size[1]= (max[1]-min[1])/2.0f;
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size[2]= (max[2]-min[2])/2.0f;
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}
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else {
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loc[0]= loc[1]= loc[2]= 0.0f;
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size[0]= size[1]= size[2]= 1.0f;
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}
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bb->vec[0][0]=bb->vec[1][0]=bb->vec[2][0]=bb->vec[3][0]= loc[0]-size[0];
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bb->vec[4][0]=bb->vec[5][0]=bb->vec[6][0]=bb->vec[7][0]= loc[0]+size[0];
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bb->vec[0][1]=bb->vec[1][1]=bb->vec[4][1]=bb->vec[5][1]= loc[1]-size[1];
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bb->vec[2][1]=bb->vec[3][1]=bb->vec[6][1]=bb->vec[7][1]= loc[1]+size[1];
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bb->vec[0][2]=bb->vec[3][2]=bb->vec[4][2]=bb->vec[7][2]= loc[2]-size[2];
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bb->vec[1][2]=bb->vec[2][2]=bb->vec[5][2]=bb->vec[6][2]= loc[2]+size[2];
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|
2004-03-14 16:59:48 +00:00
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if(cu->texflag & CU_AUTOSPACE) {
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2002-10-12 11:37:38 +00:00
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VECCOPY(cu->loc, loc);
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VECCOPY(cu->size, size);
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|
|
cu->rot[0]= cu->rot[1]= cu->rot[2]= 0.0;
|
|
|
|
|
|
|
|
if(cu->size[0]==0.0) cu->size[0]= 1.0;
|
|
|
|
else if(cu->size[0]>0.0 && cu->size[0]<0.00001) cu->size[0]= 0.00001;
|
|
|
|
else if(cu->size[0]<0.0 && cu->size[0]> -0.00001) cu->size[0]= -0.00001;
|
|
|
|
|
|
|
|
if(cu->size[1]==0.0) cu->size[1]= 1.0;
|
|
|
|
else if(cu->size[1]>0.0 && cu->size[1]<0.00001) cu->size[1]= 0.00001;
|
|
|
|
else if(cu->size[1]<0.0 && cu->size[1]> -0.00001) cu->size[1]= -0.00001;
|
|
|
|
|
|
|
|
if(cu->size[2]==0.0) cu->size[2]= 1.0;
|
|
|
|
else if(cu->size[2]>0.0 && cu->size[2]<0.00001) cu->size[2]= 0.00001;
|
|
|
|
else if(cu->size[2]<0.0 && cu->size[2]> -0.00001) cu->size[2]= -0.00001;
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int count_curveverts(ListBase *nurb)
|
|
|
|
{
|
|
|
|
Nurb *nu;
|
|
|
|
int tot=0;
|
|
|
|
|
|
|
|
nu= nurb->first;
|
|
|
|
while(nu) {
|
|
|
|
if(nu->bezt) tot+= 3*nu->pntsu;
|
|
|
|
else if(nu->bp) tot+= nu->pntsu*nu->pntsv;
|
|
|
|
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
return tot;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* **************** NURBS ROUTINES ******************** */
|
|
|
|
|
|
|
|
void freeNurb(Nurb *nu)
|
|
|
|
{
|
|
|
|
|
|
|
|
if(nu==0) return;
|
|
|
|
|
|
|
|
if(nu->bezt) MEM_freeN(nu->bezt);
|
|
|
|
nu->bezt= 0;
|
|
|
|
if(nu->bp) MEM_freeN(nu->bp);
|
|
|
|
nu->bp= 0;
|
|
|
|
if(nu->knotsu) MEM_freeN(nu->knotsu);
|
|
|
|
nu->knotsu= 0;
|
|
|
|
if(nu->knotsv) MEM_freeN(nu->knotsv);
|
|
|
|
nu->knotsv= 0;
|
|
|
|
/* if(nu->trim.first) freeNurblist(&(nu->trim)); */
|
|
|
|
|
|
|
|
MEM_freeN(nu);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void freeNurblist(ListBase *lb)
|
|
|
|
{
|
|
|
|
Nurb *nu, *next;
|
|
|
|
|
|
|
|
if(lb==0) return;
|
|
|
|
|
|
|
|
nu= lb->first;
|
|
|
|
while(nu) {
|
|
|
|
next= nu->next;
|
|
|
|
freeNurb(nu);
|
|
|
|
nu= next;
|
|
|
|
}
|
|
|
|
lb->first= lb->last= 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
Nurb *duplicateNurb(Nurb *nu)
|
|
|
|
{
|
|
|
|
Nurb *newnu;
|
|
|
|
int len;
|
|
|
|
|
|
|
|
newnu= (Nurb*)MEM_mallocN(sizeof(Nurb),"duplicateNurb");
|
|
|
|
if(newnu==0) return 0;
|
|
|
|
memcpy(newnu, nu, sizeof(Nurb));
|
|
|
|
|
|
|
|
if(nu->bezt) {
|
|
|
|
newnu->bezt=
|
|
|
|
(BezTriple*)MEM_mallocN((nu->pntsu)* sizeof(BezTriple),"duplicateNurb2");
|
|
|
|
memcpy(newnu->bezt, nu->bezt, nu->pntsu*sizeof(BezTriple));
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
len= nu->pntsu*nu->pntsv;
|
|
|
|
newnu->bp=
|
|
|
|
(BPoint*)MEM_mallocN((len)* sizeof(BPoint),"duplicateNurb3");
|
|
|
|
memcpy(newnu->bp, nu->bp, len*sizeof(BPoint));
|
|
|
|
|
|
|
|
newnu->knotsu=newnu->knotsv= 0;
|
|
|
|
|
|
|
|
if(nu->knotsu) {
|
|
|
|
len= KNOTSU(nu);
|
|
|
|
if(len) {
|
|
|
|
newnu->knotsu= MEM_mallocN(len*sizeof(float), "duplicateNurb4");
|
|
|
|
memcpy(newnu->knotsu, nu->knotsu, sizeof(float)*len);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if(nu->pntsv>1 && nu->knotsv) {
|
|
|
|
len= KNOTSV(nu);
|
|
|
|
if(len) {
|
|
|
|
newnu->knotsv= MEM_mallocN(len*sizeof(float), "duplicateNurb5");
|
|
|
|
memcpy(newnu->knotsv, nu->knotsv, sizeof(float)*len);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return newnu;
|
|
|
|
}
|
|
|
|
|
|
|
|
void duplicateNurblist(ListBase *lb1, ListBase *lb2)
|
|
|
|
{
|
|
|
|
Nurb *nu, *nun;
|
|
|
|
|
|
|
|
freeNurblist(lb1);
|
|
|
|
|
|
|
|
nu= lb2->first;
|
|
|
|
while(nu) {
|
|
|
|
nun= duplicateNurb(nu);
|
|
|
|
BLI_addtail(lb1, nun);
|
|
|
|
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void test2DNurb(Nurb *nu)
|
|
|
|
{
|
|
|
|
BezTriple *bezt;
|
|
|
|
BPoint *bp;
|
|
|
|
int a;
|
|
|
|
|
|
|
|
if( nu->type== CU_BEZIER+CU_2D ) {
|
|
|
|
a= nu->pntsu;
|
|
|
|
bezt= nu->bezt;
|
|
|
|
while(a--) {
|
|
|
|
bezt->vec[0][2]= 0.0;
|
|
|
|
bezt->vec[1][2]= 0.0;
|
|
|
|
bezt->vec[2][2]= 0.0;
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(nu->type & CU_2D) {
|
|
|
|
a= nu->pntsu*nu->pntsv;
|
|
|
|
bp= nu->bp;
|
|
|
|
while(a--) {
|
|
|
|
bp->vec[2]= 0.0;
|
|
|
|
bp++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void minmaxNurb(Nurb *nu, float *min, float *max)
|
|
|
|
{
|
|
|
|
BezTriple *bezt;
|
|
|
|
BPoint *bp;
|
|
|
|
int a;
|
|
|
|
|
|
|
|
if( (nu->type & 7)==CU_BEZIER ) {
|
|
|
|
a= nu->pntsu;
|
|
|
|
bezt= nu->bezt;
|
|
|
|
while(a--) {
|
|
|
|
DO_MINMAX(bezt->vec[0], min, max);
|
|
|
|
DO_MINMAX(bezt->vec[1], min, max);
|
|
|
|
DO_MINMAX(bezt->vec[2], min, max);
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
a= nu->pntsu*nu->pntsv;
|
|
|
|
bp= nu->bp;
|
|
|
|
while(a--) {
|
|
|
|
DO_MINMAX(bp->vec, min, max);
|
|
|
|
bp++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* ~~~~~~~~~~~~~~~~~~~~Non Uniform Rational B Spline calculations ~~~~~~~~~~~ */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* actually, doubles should be used here as much as possible */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
void extend_spline(float * pnts, int in, int out)
|
|
|
|
{
|
|
|
|
float *_pnts;
|
|
|
|
double * add;
|
2002-10-30 00:37:19 +00:00
|
|
|
int i, j, k, in2;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
_pnts = pnts;
|
|
|
|
add = (double*)MEM_mallocN((in)* sizeof(double), "extend_spline");
|
|
|
|
|
2002-10-30 00:37:19 +00:00
|
|
|
in2 = in -1;
|
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
for (k = 3; k > 0; k--){
|
|
|
|
pnts = _pnts;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* copy points to 'add' */
|
2002-10-12 11:37:38 +00:00
|
|
|
for (i = 0; i < in; i++){
|
|
|
|
add[i] = *pnts;
|
|
|
|
pnts += 3;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* inverse forward differencing */
|
2002-10-30 00:37:19 +00:00
|
|
|
for (i = 0; i < in2; i++){
|
|
|
|
for (j = in2; j > i; j--){
|
2002-10-12 11:37:38 +00:00
|
|
|
add[j] -= add[j - 1];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
pnts = _pnts;
|
|
|
|
for (i = out; i > 0; i--){
|
|
|
|
*pnts = (float)(add[0]);
|
|
|
|
pnts += 3;
|
2002-10-30 00:37:19 +00:00
|
|
|
for (j = 0; j < in2; j++){
|
2002-10-12 11:37:38 +00:00
|
|
|
add[j] += add[j+1];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
_pnts++;
|
|
|
|
}
|
|
|
|
|
|
|
|
MEM_freeN(add);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void calcknots(float *knots, short aantal, short order, short type)
|
2003-04-25 15:48:11 +00:00
|
|
|
/* knots: number of pnts NOT corrected for cyclic */
|
|
|
|
/* type; 0: uniform, 1: endpoints, 2: bezier */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
float k;
|
2002-10-30 00:37:19 +00:00
|
|
|
int a, t;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
2002-10-30 00:37:19 +00:00
|
|
|
t = aantal+order;
|
2002-10-12 11:37:38 +00:00
|
|
|
if(type==0) {
|
2002-10-30 00:37:19 +00:00
|
|
|
|
|
|
|
for(a=0;a<t;a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
knots[a]= (float)a;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(type==1) {
|
|
|
|
k= 0.0;
|
2002-10-30 00:37:19 +00:00
|
|
|
for(a=1;a<=t;a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
knots[a-1]= k;
|
|
|
|
if(a>=order && a<=aantal) k+= 1.0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(type==2) {
|
|
|
|
if(order==4) {
|
|
|
|
k= 0.34;
|
2002-10-30 00:37:19 +00:00
|
|
|
for(a=0;a<t;a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
knots[a]= (float)floor(k);
|
|
|
|
k+= (1.0/3.0);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(order==3) {
|
|
|
|
k= 0.6;
|
2002-10-30 00:37:19 +00:00
|
|
|
for(a=0;a<t;a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
if(a>=order && a<=aantal) k+= (0.5);
|
|
|
|
knots[a]= (float)floor(k);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void makecyclicknots(float *knots, short pnts, short order)
|
2003-04-25 15:48:11 +00:00
|
|
|
/* pnts, order: number of pnts NOT corrected for cyclic */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
2002-10-30 00:37:19 +00:00
|
|
|
int a, b, order2, c;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
if(knots==0) return;
|
2002-10-30 00:37:19 +00:00
|
|
|
order2=order-1;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* do first long rows (order -1), remove identical knots at endpoints */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(order>2) {
|
2002-10-30 00:37:19 +00:00
|
|
|
b= pnts+order2;
|
|
|
|
for(a=1; a<order2; a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
if(knots[b]!= knots[b-a]) break;
|
|
|
|
}
|
2002-10-30 00:37:19 +00:00
|
|
|
if(a==order2) knots[pnts+order-2]+= 1.0;
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
b= order;
|
2002-10-30 00:37:19 +00:00
|
|
|
c=pnts + order + order2;
|
|
|
|
for(a=pnts+order2; a<c; a++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
knots[a]= knots[a-1]+ (knots[b]-knots[b-1]);
|
|
|
|
b--;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void makeknots(Nurb *nu, short uv, short type) /* 0: uniform, 1: endpoints, 2: bezier */
|
|
|
|
{
|
|
|
|
if( (nu->type & 7)==CU_NURBS ) {
|
|
|
|
if(uv & 1) {
|
|
|
|
if(nu->knotsu) MEM_freeN(nu->knotsu);
|
|
|
|
if(nu->pntsu>1) {
|
|
|
|
nu->knotsu= MEM_callocN(4+sizeof(float)*KNOTSU(nu), "makeknots");
|
|
|
|
calcknots(nu->knotsu, nu->pntsu, nu->orderu, type);
|
|
|
|
if(nu->flagu & 1) makecyclicknots(nu->knotsu, nu->pntsu, nu->orderu);
|
|
|
|
}
|
|
|
|
else nu->knotsu= 0;
|
|
|
|
}
|
|
|
|
if(uv & 2) {
|
|
|
|
if(nu->knotsv) MEM_freeN(nu->knotsv);
|
|
|
|
if(nu->pntsv>1) {
|
|
|
|
nu->knotsv= MEM_callocN(4+sizeof(float)*KNOTSV(nu), "makeknots");
|
|
|
|
calcknots(nu->knotsv, nu->pntsv, nu->orderv, type);
|
|
|
|
if(nu->flagv & 1) makecyclicknots(nu->knotsv, nu->pntsv, nu->orderv);
|
|
|
|
}
|
|
|
|
else nu->knotsv= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void basisNurb(float t, short order, short pnts, float *knots, float *basis, int *start, int *end)
|
|
|
|
{
|
|
|
|
float d, e;
|
2002-10-30 00:37:19 +00:00
|
|
|
int i, i1 = 0, i2 = 0 ,j, orderpluspnts, opp2, o2;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
orderpluspnts= order+pnts;
|
2002-10-30 00:37:19 +00:00
|
|
|
opp2 = orderpluspnts-1;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
/* this is for float inaccuracy */
|
|
|
|
if(t < knots[0]) t= knots[0];
|
2002-10-30 00:37:19 +00:00
|
|
|
else if(t > knots[opp2]) t= knots[opp2];
|
2002-10-12 11:37:38 +00:00
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* this part is order '1' */
|
2002-10-30 00:37:19 +00:00
|
|
|
o2 = order + 1;
|
|
|
|
for(i=0;i<opp2;i++) {
|
2002-10-12 11:37:38 +00:00
|
|
|
if(knots[i]!=knots[i+1] && t>= knots[i] && t<=knots[i+1]) {
|
|
|
|
basis[i]= 1.0;
|
2002-10-30 00:37:19 +00:00
|
|
|
i1= i-o2;
|
2002-10-12 11:37:38 +00:00
|
|
|
if(i1<0) i1= 0;
|
|
|
|
i2= i;
|
|
|
|
i++;
|
2002-10-30 00:37:19 +00:00
|
|
|
while(i<opp2) {
|
2002-10-12 11:37:38 +00:00
|
|
|
basis[i]= 0.0;
|
|
|
|
i++;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
else basis[i]= 0.0;
|
|
|
|
}
|
|
|
|
basis[i]= 0.0;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* this is order 2,3,... */
|
2002-10-12 11:37:38 +00:00
|
|
|
for(j=2; j<=order; j++) {
|
|
|
|
|
2002-10-30 00:37:19 +00:00
|
|
|
if(i2+j>= orderpluspnts) i2= opp2-j;
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
for(i= i1; i<=i2; i++) {
|
|
|
|
if(basis[i]!=0.0)
|
|
|
|
d= ((t-knots[i])*basis[i]) / (knots[i+j-1]-knots[i]);
|
|
|
|
else
|
|
|
|
d= 0.0;
|
|
|
|
|
|
|
|
if(basis[i+1]!=0.0)
|
|
|
|
e= ((knots[i+j]-t)*basis[i+1]) / (knots[i+j]-knots[i+1]);
|
|
|
|
else
|
|
|
|
e= 0.0;
|
|
|
|
|
|
|
|
basis[i]= d+e;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
*start= 1000;
|
|
|
|
*end= 0;
|
|
|
|
|
|
|
|
for(i=i1; i<=i2; i++) {
|
|
|
|
if(basis[i]>0.0) {
|
|
|
|
*end= i;
|
|
|
|
if(*start==1000) *start= i;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void makeNurbfaces(Nurb *nu, float *data)
|
2003-04-25 15:48:11 +00:00
|
|
|
/* data has to be 3*4*resolu*resolv in size, and zero-ed */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
BPoint *bp;
|
|
|
|
float *basisu, *basis, *basisv, *sum, *fp, *in;
|
|
|
|
float u, v, ustart, uend, ustep, vstart, vend, vstep, sumdiv;
|
|
|
|
int i, j, iofs, jofs, cycl, len, resolu, resolv;
|
|
|
|
int istart, iend, jsta, jen, *jstart, *jend, ratcomp;
|
|
|
|
|
|
|
|
if(nu->knotsu==0 || nu->knotsv==0) return;
|
|
|
|
if(nu->orderu>nu->pntsu) return;
|
|
|
|
if(nu->orderv>nu->pntsv) return;
|
|
|
|
if(data==0) return;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* allocate and initialize */
|
2002-10-12 11:37:38 +00:00
|
|
|
len= nu->pntsu*nu->pntsv;
|
|
|
|
if(len==0) return;
|
|
|
|
sum= (float *)MEM_callocN(sizeof(float)*len, "makeNurbfaces1");
|
|
|
|
|
|
|
|
resolu= nu->resolu;
|
|
|
|
resolv= nu->resolv;
|
|
|
|
len= resolu*resolv;
|
|
|
|
if(len==0) {
|
|
|
|
MEM_freeN(sum);
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
bp= nu->bp;
|
|
|
|
i= nu->pntsu*nu->pntsv;
|
|
|
|
ratcomp=0;
|
|
|
|
while(i--) {
|
|
|
|
if(bp->vec[3]!=1.0) {
|
|
|
|
ratcomp= 1;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
bp++;
|
|
|
|
}
|
|
|
|
|
|
|
|
fp= nu->knotsu;
|
|
|
|
ustart= fp[nu->orderu-1];
|
|
|
|
if(nu->flagu & 1) uend= fp[nu->pntsu+nu->orderu-1];
|
|
|
|
else uend= fp[nu->pntsu];
|
|
|
|
ustep= (uend-ustart)/(resolu-1+(nu->flagu & 1));
|
|
|
|
basisu= (float *)MEM_mallocN(sizeof(float)*KNOTSU(nu), "makeNurbfaces3");
|
|
|
|
|
|
|
|
fp= nu->knotsv;
|
|
|
|
vstart= fp[nu->orderv-1];
|
|
|
|
|
|
|
|
if(nu->flagv & 1) vend= fp[nu->pntsv+nu->orderv-1];
|
|
|
|
else vend= fp[nu->pntsv];
|
|
|
|
vstep= (vend-vstart)/(resolv-1+(nu->flagv & 1));
|
|
|
|
len= KNOTSV(nu);
|
|
|
|
basisv= (float *)MEM_mallocN(sizeof(float)*len*resolv, "makeNurbfaces3");
|
|
|
|
jstart= (int *)MEM_mallocN(sizeof(float)*resolv, "makeNurbfaces4");
|
|
|
|
jend= (int *)MEM_mallocN(sizeof(float)*resolv, "makeNurbfaces5");
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* precalculation of basisv and jstart,jend */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(nu->flagv & 1) cycl= nu->orderv-1;
|
|
|
|
else cycl= 0;
|
|
|
|
v= vstart;
|
|
|
|
basis= basisv;
|
|
|
|
while(resolv--) {
|
|
|
|
basisNurb(v, nu->orderv, (short)(nu->pntsv+cycl), nu->knotsv, basis, jstart+resolv, jend+resolv);
|
|
|
|
basis+= KNOTSV(nu);
|
|
|
|
v+= vstep;
|
|
|
|
}
|
|
|
|
|
|
|
|
if(nu->flagu & 1) cycl= nu->orderu-1;
|
|
|
|
else cycl= 0;
|
|
|
|
in= data;
|
|
|
|
u= ustart;
|
|
|
|
while(resolu--) {
|
|
|
|
|
|
|
|
basisNurb(u, nu->orderu, (short)(nu->pntsu+cycl), nu->knotsu, basisu, &istart, &iend);
|
|
|
|
|
|
|
|
basis= basisv;
|
|
|
|
resolv= nu->resolv;
|
|
|
|
while(resolv--) {
|
|
|
|
|
|
|
|
jsta= jstart[resolv];
|
|
|
|
jen= jend[resolv];
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* calculate sum */
|
2002-10-12 11:37:38 +00:00
|
|
|
sumdiv= 0.0;
|
|
|
|
fp= sum;
|
|
|
|
|
|
|
|
for(j= jsta; j<=jen; j++) {
|
|
|
|
|
|
|
|
if(j>=nu->pntsv) jofs= (j - nu->pntsv);
|
|
|
|
else jofs= j;
|
|
|
|
bp= nu->bp+ nu->pntsu*jofs+istart-1;
|
|
|
|
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
|
|
|
|
if(i>= nu->pntsu) {
|
|
|
|
iofs= i- nu->pntsu;
|
|
|
|
bp= nu->bp+ nu->pntsu*jofs+iofs;
|
|
|
|
}
|
|
|
|
else bp++;
|
|
|
|
|
|
|
|
if(ratcomp) {
|
|
|
|
*fp= basisu[i]*basis[j]*bp->vec[3];
|
|
|
|
sumdiv+= *fp;
|
|
|
|
}
|
|
|
|
else *fp= basisu[i]*basis[j];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if(ratcomp) {
|
|
|
|
fp= sum;
|
|
|
|
for(j= jsta; j<=jen; j++) {
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
*fp/= sumdiv;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* one! (1.0) real point now */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= sum;
|
|
|
|
for(j= jsta; j<=jen; j++) {
|
|
|
|
|
|
|
|
if(j>=nu->pntsv) jofs= (j - nu->pntsv);
|
|
|
|
else jofs= j;
|
|
|
|
bp= nu->bp+ nu->pntsu*jofs+istart-1;
|
|
|
|
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
|
|
|
|
if(i>= nu->pntsu) {
|
|
|
|
iofs= i- nu->pntsu;
|
|
|
|
bp= nu->bp+ nu->pntsu*jofs+iofs;
|
|
|
|
}
|
|
|
|
else bp++;
|
|
|
|
|
|
|
|
if(*fp!=0.0) {
|
|
|
|
in[0]+= (*fp) * bp->vec[0];
|
|
|
|
in[1]+= (*fp) * bp->vec[1];
|
|
|
|
in[2]+= (*fp) * bp->vec[2];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
in+=3;
|
|
|
|
basis+= KNOTSV(nu);
|
|
|
|
}
|
|
|
|
u+= ustep;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* free */
|
2002-10-12 11:37:38 +00:00
|
|
|
MEM_freeN(sum);
|
|
|
|
MEM_freeN(basisu);
|
|
|
|
MEM_freeN(basisv);
|
|
|
|
MEM_freeN(jstart);
|
|
|
|
MEM_freeN(jend);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void makeNurbcurve_forw(Nurb *nu, float *data)
|
2003-04-25 15:48:11 +00:00
|
|
|
/* *data: has to be 3*4*pntsu*resolu in size and zero-ed */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
BPoint *bp;
|
|
|
|
float *basisu, *sum, *fp, *in;
|
|
|
|
float u, ustart, uend, ustep, sumdiv;
|
|
|
|
int i, j, k, len, resolu, istart, iend;
|
|
|
|
int wanted, org;
|
|
|
|
|
|
|
|
if(nu->knotsu==0) return;
|
|
|
|
if(data==0) return;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* allocate and init */
|
2002-10-12 11:37:38 +00:00
|
|
|
len= nu->pntsu;
|
|
|
|
if(len==0) return;
|
|
|
|
sum= (float *)MEM_callocN(sizeof(float)*len, "makeNurbcurve1");
|
|
|
|
|
|
|
|
resolu= nu->resolu*nu->pntsu;
|
|
|
|
if(resolu==0) {
|
|
|
|
MEM_freeN(sum);
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
fp= nu->knotsu;
|
|
|
|
ustart= fp[nu->orderu-1];
|
|
|
|
uend= fp[nu->pntsu];
|
|
|
|
ustep= (uend-ustart)/(resolu-1);
|
|
|
|
basisu= (float *)MEM_mallocN(sizeof(float)*(nu->orderu+nu->pntsu), "makeNurbcurve3");
|
|
|
|
|
|
|
|
in= data;
|
|
|
|
u= ustart;
|
|
|
|
for (k = nu->orderu - 1; k < nu->pntsu; k++){
|
|
|
|
|
|
|
|
wanted = (int)((nu->knotsu[k+1] - nu->knotsu[k]) / ustep);
|
2003-04-25 15:48:11 +00:00
|
|
|
org = 4; /* equal to order */
|
2002-10-12 11:37:38 +00:00
|
|
|
if (org > wanted) org = wanted;
|
|
|
|
|
|
|
|
for (j = org; j > 0; j--){
|
|
|
|
|
|
|
|
basisNurb(u, nu->orderu, nu->pntsu, nu->knotsu, basisu, &istart, &iend);
|
2003-04-25 15:48:11 +00:00
|
|
|
/* calc sum */
|
2002-10-12 11:37:38 +00:00
|
|
|
sumdiv= 0.0;
|
|
|
|
fp= sum;
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* do the rational component */
|
2002-10-12 11:37:38 +00:00
|
|
|
*fp= basisu[i];
|
|
|
|
sumdiv+= *fp;
|
|
|
|
}
|
|
|
|
if(sumdiv!=0.0) if(sumdiv<0.999 || sumdiv>1.001) {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* is this normalizing needed? */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= sum;
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
*fp/= sumdiv;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* one! (1.0) real point */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= sum;
|
|
|
|
bp= nu->bp+ istart;
|
|
|
|
for(i= istart; i<=iend; i++, bp++, fp++) {
|
|
|
|
|
|
|
|
if(*fp!=0.0) {
|
|
|
|
in[0]+= (*fp) * bp->vec[0];
|
|
|
|
in[1]+= (*fp) * bp->vec[1];
|
|
|
|
in[2]+= (*fp) * bp->vec[2];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
in+=3;
|
|
|
|
|
|
|
|
u+= ustep;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (wanted > org){
|
|
|
|
extend_spline(in - 3 * org, org, wanted);
|
|
|
|
in += 3 * (wanted - org);
|
|
|
|
u += ustep * (wanted - org);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* free */
|
2002-10-12 11:37:38 +00:00
|
|
|
MEM_freeN(sum);
|
|
|
|
MEM_freeN(basisu);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void makeNurbcurve(Nurb *nu, float *data, int dim)
|
2003-04-25 15:48:11 +00:00
|
|
|
/* data has to be dim*4*pntsu*resolu in size and zero-ed */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
BPoint *bp;
|
|
|
|
float u, ustart, uend, ustep, sumdiv;
|
|
|
|
float *basisu, *sum, *fp, *in;
|
|
|
|
int i, len, resolu, istart, iend, cycl;
|
|
|
|
|
|
|
|
if(nu->knotsu==0) return;
|
|
|
|
if(nu->orderu>nu->pntsu) return;
|
|
|
|
if(data==0) return;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* allocate and initialize */
|
2002-10-12 11:37:38 +00:00
|
|
|
len= nu->pntsu;
|
|
|
|
if(len==0) return;
|
|
|
|
sum= (float *)MEM_callocN(sizeof(float)*len, "makeNurbcurve1");
|
|
|
|
|
|
|
|
resolu= nu->resolu*nu->pntsu;
|
|
|
|
if(resolu==0) {
|
|
|
|
MEM_freeN(sum);
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
fp= nu->knotsu;
|
|
|
|
ustart= fp[nu->orderu-1];
|
|
|
|
if(nu->flagu & 1) uend= fp[nu->pntsu+nu->orderu-1];
|
|
|
|
else uend= fp[nu->pntsu];
|
|
|
|
ustep= (uend-ustart)/(resolu-1+(nu->flagu & 1));
|
|
|
|
basisu= (float *)MEM_mallocN(sizeof(float)*KNOTSU(nu), "makeNurbcurve3");
|
|
|
|
|
|
|
|
if(nu->flagu & 1) cycl= nu->orderu-1;
|
|
|
|
else cycl= 0;
|
|
|
|
|
|
|
|
in= data;
|
|
|
|
u= ustart;
|
|
|
|
while(resolu--) {
|
|
|
|
|
|
|
|
basisNurb(u, nu->orderu, (short)(nu->pntsu+cycl), nu->knotsu, basisu, &istart, &iend);
|
2003-04-25 15:48:11 +00:00
|
|
|
/* calc sum */
|
2002-10-12 11:37:38 +00:00
|
|
|
sumdiv= 0.0;
|
|
|
|
fp= sum;
|
|
|
|
bp= nu->bp+ istart-1;
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
|
|
|
|
if(i>=nu->pntsu) bp= nu->bp+(i - nu->pntsu);
|
|
|
|
else bp++;
|
|
|
|
|
|
|
|
*fp= basisu[i]*bp->vec[3];
|
|
|
|
sumdiv+= *fp;
|
|
|
|
}
|
|
|
|
if(sumdiv!=0.0) if(sumdiv<0.999 || sumdiv>1.001) {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* is normalizing needed? */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= sum;
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
*fp/= sumdiv;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* one! (1.0) real point */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= sum;
|
|
|
|
bp= nu->bp+ istart-1;
|
|
|
|
for(i= istart; i<=iend; i++, fp++) {
|
|
|
|
|
|
|
|
if(i>=nu->pntsu) bp= nu->bp+(i - nu->pntsu);
|
|
|
|
else bp++;
|
|
|
|
|
|
|
|
if(*fp!=0.0) {
|
|
|
|
|
|
|
|
in[0]+= (*fp) * bp->vec[0];
|
|
|
|
in[1]+= (*fp) * bp->vec[1];
|
|
|
|
if(dim>=3) {
|
|
|
|
in[2]+= (*fp) * bp->vec[2];
|
|
|
|
if(dim==4) in[3]+= (*fp) * bp->alfa;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
in+= dim;
|
|
|
|
|
|
|
|
u+= ustep;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* free */
|
2002-10-12 11:37:38 +00:00
|
|
|
MEM_freeN(sum);
|
|
|
|
MEM_freeN(basisu);
|
|
|
|
}
|
|
|
|
|
2005-07-16 19:07:02 +00:00
|
|
|
/* forward differencing method for bezier curve */
|
|
|
|
void forward_diff_bezier(float q0, float q1, float q2, float q3, float *p, int it, int stride)
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
float rt0,rt1,rt2,rt3,f;
|
|
|
|
int a;
|
|
|
|
|
|
|
|
f= (float)it;
|
|
|
|
rt0= q0;
|
|
|
|
rt1= 3.0f*(q1-q0)/f;
|
|
|
|
f*= f;
|
|
|
|
rt2= 3.0f*(q0-2.0f*q1+q2)/f;
|
|
|
|
f*= it;
|
|
|
|
rt3= (q3-q0+3.0f*(q1-q2))/f;
|
|
|
|
|
|
|
|
q0= rt0;
|
|
|
|
q1= rt1+rt2+rt3;
|
|
|
|
q2= 2*rt2+6*rt3;
|
|
|
|
q3= 6*rt3;
|
|
|
|
|
|
|
|
for(a=0; a<=it; a++) {
|
|
|
|
*p= q0;
|
2005-07-16 19:07:02 +00:00
|
|
|
p+= stride;
|
2002-10-12 11:37:38 +00:00
|
|
|
q0+= q1;
|
|
|
|
q1+= q2;
|
|
|
|
q2+= q3;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
|
|
|
|
|
|
|
|
void make_orco_surf(Curve *cu)
|
|
|
|
{
|
|
|
|
Nurb *nu;
|
|
|
|
int a, b, tot=0;
|
|
|
|
int sizeu, sizev;// ###
|
|
|
|
float *data;
|
|
|
|
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* first calculate the size of the datablock */
|
2002-10-12 11:37:38 +00:00
|
|
|
nu= cu->nurb.first;
|
|
|
|
while(nu) {
|
|
|
|
#ifdef STRUBI
|
|
|
|
/* this is a bad hack: as we want to avoid the seam in a cyclic nurbs
|
|
|
|
texture wrapping, reserve extra orco data space to save these extra needed
|
|
|
|
vertex based UV coordinates for the meridian vertices.
|
|
|
|
Vertices on the 0/2pi boundary are not duplicated inside the displist but later in
|
|
|
|
the renderface/vert construction.
|
|
|
|
|
|
|
|
See also blenderWorldManipulation.c: init_render_surf()
|
|
|
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
sizeu = nu->resolu; sizev = nu->resolv;
|
|
|
|
if (nu->flagu & CU_CYCLIC) sizeu++;
|
|
|
|
if (nu->flagv & CU_CYCLIC) sizev++;
|
|
|
|
if(nu->pntsv>1) tot+= sizeu * sizev;
|
|
|
|
#else
|
|
|
|
if(nu->pntsv>1) tot+= nu->resolu*nu->resolv;
|
|
|
|
#endif
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
2003-04-25 15:48:11 +00:00
|
|
|
/* makeNurbfaces wants zeros */
|
2002-10-12 11:37:38 +00:00
|
|
|
data= cu->orco= MEM_callocN(3*sizeof(float)*tot, "make_orco");
|
|
|
|
|
|
|
|
nu= cu->nurb.first;
|
|
|
|
while(nu) {
|
|
|
|
if(nu->pntsv>1) {
|
|
|
|
sizeu = nu->resolu;
|
|
|
|
sizev = nu->resolv;
|
|
|
|
#ifdef STRUBI
|
|
|
|
if (nu->flagu & CU_CYCLIC) sizeu++;
|
|
|
|
if (nu->flagv & CU_CYCLIC) sizev++;
|
|
|
|
#endif
|
|
|
|
|
|
|
|
if(cu->flag & CU_UV_ORCO) {
|
|
|
|
for(b=0; b< sizeu; b++) {
|
|
|
|
for(a=0; a< sizev; a++) {
|
|
|
|
|
|
|
|
if(sizev <2) data[0]= 0.0f;
|
|
|
|
else data[0]= -1.0f + 2.0f*((float)a)/(sizev - 1);
|
|
|
|
|
|
|
|
if(sizeu <2) data[1]= 0.0f;
|
|
|
|
else data[1]= -1.0f + 2.0f*((float)b)/(sizeu - 1);
|
|
|
|
|
|
|
|
data[2]= 0.0;
|
|
|
|
|
|
|
|
data+= 3;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
makeNurbfaces(nu, data);
|
|
|
|
#ifdef STRUBI
|
|
|
|
for(b=0; b< nu->resolu; b++) {
|
|
|
|
for(a=0; a< nu->resolv; a++) {
|
|
|
|
data = cu->orco + 3 * (b * nu->resolv + a);
|
|
|
|
data[0]= (data[0]-cu->loc[0])/cu->size[0];
|
|
|
|
data[1]= (data[1]-cu->loc[1])/cu->size[1];
|
|
|
|
data[2]= (data[2]-cu->loc[2])/cu->size[2];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
copyintoExtendedArray(cu->orco, nu->resolv, nu->resolu, cu->orco, sizev, sizeu);
|
|
|
|
/* copy U/V-cyclic orco's */
|
|
|
|
if (nu->flagv & CU_CYCLIC) {
|
|
|
|
b = sizeu - 1;
|
|
|
|
for(a=0; a< sizev; a++) {
|
|
|
|
data = cu->orco + 3 * (b * sizev + a);
|
|
|
|
VECCOPY(data, cu->orco + 3*a);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (nu->flagu & CU_CYCLIC) {
|
|
|
|
a = sizev - 1;
|
|
|
|
for(b=0; b< sizeu; b++) {
|
|
|
|
data = cu->orco + 3 * (b * sizev + a);
|
|
|
|
VECCOPY(data, cu->orco + 3 * b*sizev);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
#else
|
|
|
|
tot= sizeu * sizev;
|
|
|
|
while(tot--) {
|
|
|
|
data[0]= (data[0]-cu->loc[0])/cu->size[0];
|
|
|
|
data[1]= (data[1]-cu->loc[1])/cu->size[1];
|
|
|
|
data[2]= (data[2]-cu->loc[2])/cu->size[2];
|
|
|
|
|
|
|
|
data+= 3;
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
/* loadkeypostype(22, base, base); */
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* ***************** BEVEL ****************** */
|
|
|
|
|
|
|
|
void makebevelcurve(Object *ob, ListBase *disp)
|
|
|
|
{
|
|
|
|
DispList *dl, *dlnew;
|
|
|
|
Curve *bevcu, *cu;
|
|
|
|
float *fp, facx, facy, hoek, dhoek;
|
|
|
|
int nr, a;
|
|
|
|
|
|
|
|
cu= ob->data;
|
|
|
|
|
|
|
|
if(cu->bevobj && cu->bevobj!=ob) {
|
|
|
|
if(cu->bevobj->type==OB_CURVE) {
|
|
|
|
bevcu= cu->bevobj->data;
|
|
|
|
if(bevcu->ext1==0.0 && bevcu->ext2==0.0) {
|
|
|
|
facx= cu->bevobj->size[0];
|
|
|
|
facy= cu->bevobj->size[1];
|
|
|
|
|
|
|
|
dl= bevcu->disp.first;
|
|
|
|
if(dl==0) {
|
2005-07-14 15:48:01 +00:00
|
|
|
makeDispListCurveTypes(cu->bevobj);
|
2002-10-12 11:37:38 +00:00
|
|
|
dl= bevcu->disp.first;
|
|
|
|
}
|
|
|
|
while(dl) {
|
|
|
|
if ELEM(dl->type, DL_POLY, DL_SEGM) {
|
|
|
|
dlnew= MEM_mallocN(sizeof(DispList), "makebevelcurve1");
|
|
|
|
*dlnew= *dl;
|
|
|
|
dlnew->verts= MEM_mallocN(3*sizeof(float)*dl->parts*dl->nr, "makebevelcurve1");
|
|
|
|
memcpy(dlnew->verts, dl->verts, 3*sizeof(float)*dl->parts*dl->nr);
|
|
|
|
|
2004-10-31 13:51:36 +00:00
|
|
|
if(dlnew->type==DL_SEGM) dlnew->flag |= (DL_FRONT_CURVE|DL_BACK_CURVE);
|
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
BLI_addtail(disp, dlnew);
|
|
|
|
fp= dlnew->verts;
|
|
|
|
nr= dlnew->parts*dlnew->nr;
|
|
|
|
while(nr--) {
|
|
|
|
fp[2]= fp[1]*facy;
|
|
|
|
fp[1]= -fp[0]*facx;
|
|
|
|
fp[0]= 0.0;
|
|
|
|
fp+= 3;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
dl= dl->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(cu->ext2==0.0) {
|
|
|
|
dl= MEM_callocN(sizeof(DispList), "makebevelcurve2");
|
|
|
|
dl->verts= MEM_mallocN(2*3*sizeof(float), "makebevelcurve2");
|
|
|
|
BLI_addtail(disp, dl);
|
|
|
|
dl->type= DL_SEGM;
|
|
|
|
dl->parts= 1;
|
2004-10-31 13:51:36 +00:00
|
|
|
dl->flag= DL_FRONT_CURVE|DL_BACK_CURVE;
|
2002-10-12 11:37:38 +00:00
|
|
|
dl->nr= 2;
|
2004-10-31 13:51:36 +00:00
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= dl->verts;
|
|
|
|
fp[0]= fp[1]= 0.0;
|
|
|
|
fp[2]= -cu->ext1;
|
|
|
|
fp[3]= fp[4]= 0.0;
|
|
|
|
fp[5]= cu->ext1;
|
|
|
|
}
|
|
|
|
else {
|
2005-04-16 15:51:44 +00:00
|
|
|
short dnr;
|
2004-10-31 13:51:36 +00:00
|
|
|
|
|
|
|
/* bevel now in three parts, for proper vertex normals */
|
|
|
|
/* part 1 */
|
2005-04-16 15:51:44 +00:00
|
|
|
dnr= nr= 2+ cu->bevresol;
|
|
|
|
if( (cu->flag & (CU_FRONT|CU_BACK))==0) // we make a full round bevel in that case
|
|
|
|
nr= 3+ 2*cu->bevresol;
|
|
|
|
|
2004-10-31 13:51:36 +00:00
|
|
|
dl= MEM_callocN(sizeof(DispList), "makebevelcurve p1");
|
|
|
|
dl->verts= MEM_mallocN(nr*3*sizeof(float), "makebevelcurve p1");
|
2002-10-12 11:37:38 +00:00
|
|
|
BLI_addtail(disp, dl);
|
|
|
|
dl->type= DL_SEGM;
|
|
|
|
dl->parts= 1;
|
2004-10-31 13:51:36 +00:00
|
|
|
dl->flag= DL_BACK_CURVE;
|
2002-10-12 11:37:38 +00:00
|
|
|
dl->nr= nr;
|
|
|
|
|
2004-10-31 13:51:36 +00:00
|
|
|
/* half a circle */
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= dl->verts;
|
2005-04-16 15:51:44 +00:00
|
|
|
dhoek= (0.5*M_PI/(dnr-1));
|
|
|
|
hoek= -(nr-1)*dhoek;
|
2004-10-31 13:51:36 +00:00
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
for(a=0; a<nr; a++) {
|
|
|
|
fp[0]= 0.0;
|
|
|
|
fp[1]= (float)(cos(hoek)*(cu->ext2));
|
2004-10-31 13:51:36 +00:00
|
|
|
fp[2]= (float)(sin(hoek)*(cu->ext2)) - cu->ext1;
|
2002-10-12 11:37:38 +00:00
|
|
|
hoek+= dhoek;
|
|
|
|
fp+= 3;
|
|
|
|
}
|
2004-10-31 13:51:36 +00:00
|
|
|
|
|
|
|
/* part 2, sidefaces */
|
|
|
|
if(cu->ext1!=0.0) {
|
|
|
|
nr= 2;
|
|
|
|
|
|
|
|
dl= MEM_callocN(sizeof(DispList), "makebevelcurve p2");
|
|
|
|
dl->verts= MEM_callocN(nr*3*sizeof(float), "makebevelcurve p2");
|
|
|
|
BLI_addtail(disp, dl);
|
|
|
|
dl->type= DL_SEGM;
|
|
|
|
dl->parts= 1;
|
|
|
|
dl->nr= nr;
|
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
fp= dl->verts;
|
2004-10-31 13:51:36 +00:00
|
|
|
fp[1]= cu->ext2;
|
|
|
|
fp[2]= -cu->ext1;
|
|
|
|
fp[4]= cu->ext2;
|
|
|
|
fp[5]= cu->ext1;
|
2005-04-16 15:51:44 +00:00
|
|
|
|
|
|
|
if( (cu->flag & (CU_FRONT|CU_BACK))==0) {
|
|
|
|
dl= MEM_dupallocN(dl);
|
|
|
|
dl->verts= MEM_dupallocN(dl->verts);
|
|
|
|
BLI_addtail(disp, dl);
|
|
|
|
|
|
|
|
fp= dl->verts;
|
|
|
|
fp[1]= -fp[1];
|
|
|
|
fp[2]= -fp[2];
|
|
|
|
fp[4]= -fp[4];
|
|
|
|
fp[5]= -fp[5];
|
|
|
|
}
|
2004-10-31 13:51:36 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
/* part 3 */
|
2005-04-16 15:51:44 +00:00
|
|
|
dnr= nr= 2+ cu->bevresol;
|
|
|
|
if( (cu->flag & (CU_FRONT|CU_BACK))==0)
|
|
|
|
nr= 3+ 2*cu->bevresol;
|
2004-10-31 13:51:36 +00:00
|
|
|
|
|
|
|
dl= MEM_callocN(sizeof(DispList), "makebevelcurve p3");
|
|
|
|
dl->verts= MEM_mallocN(nr*3*sizeof(float), "makebevelcurve p3");
|
|
|
|
BLI_addtail(disp, dl);
|
|
|
|
dl->type= DL_SEGM;
|
|
|
|
dl->flag= DL_FRONT_CURVE;
|
|
|
|
dl->parts= 1;
|
|
|
|
dl->nr= nr;
|
|
|
|
|
|
|
|
/* half a circle */
|
|
|
|
fp= dl->verts;
|
|
|
|
hoek= 0.0;
|
2005-04-16 15:51:44 +00:00
|
|
|
dhoek= (0.5*M_PI/(dnr-1));
|
2004-10-31 13:51:36 +00:00
|
|
|
|
|
|
|
for(a=0; a<nr; a++) {
|
|
|
|
fp[0]= 0.0;
|
|
|
|
fp[1]= (float)(cos(hoek)*(cu->ext2));
|
|
|
|
fp[2]= (float)(sin(hoek)*(cu->ext2)) + cu->ext1;
|
|
|
|
hoek+= dhoek;
|
|
|
|
fp+= 3;
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
int cu_isectLL(float *v1, float *v2, float *v3, float *v4, short cox, short coy, float *labda, float *mu, float *vec)
|
|
|
|
{
|
|
|
|
/* return:
|
|
|
|
-1: colliniar
|
|
|
|
0: no intersection of segments
|
|
|
|
1: exact intersection of segments
|
|
|
|
2: cross-intersection of segments
|
|
|
|
*/
|
|
|
|
float deler;
|
|
|
|
|
|
|
|
deler= (v1[cox]-v2[cox])*(v3[coy]-v4[coy])-(v3[cox]-v4[cox])*(v1[coy]-v2[coy]);
|
|
|
|
if(deler==0.0) return -1;
|
|
|
|
|
|
|
|
*labda= (v1[coy]-v3[coy])*(v3[cox]-v4[cox])-(v1[cox]-v3[cox])*(v3[coy]-v4[coy]);
|
|
|
|
*labda= -(*labda/deler);
|
|
|
|
|
|
|
|
deler= v3[coy]-v4[coy];
|
|
|
|
if(deler==0) {
|
|
|
|
deler=v3[cox]-v4[cox];
|
|
|
|
*mu= -(*labda*(v2[cox]-v1[cox])+v1[cox]-v3[cox])/deler;
|
|
|
|
} else {
|
|
|
|
*mu= -(*labda*(v2[coy]-v1[coy])+v1[coy]-v3[coy])/deler;
|
|
|
|
}
|
|
|
|
vec[cox]= *labda*(v2[cox]-v1[cox])+v1[cox];
|
|
|
|
vec[coy]= *labda*(v2[coy]-v1[coy])+v1[coy];
|
|
|
|
|
|
|
|
if(*labda>=0.0 && *labda<=1.0 && *mu>=0.0 && *mu<=1.0) {
|
|
|
|
if(*labda==0.0 || *labda==1.0 || *mu==0.0 || *mu==1.0) return 1;
|
|
|
|
return 2;
|
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
short bevelinside(BevList *bl1,BevList *bl2)
|
|
|
|
{
|
2003-04-25 15:48:11 +00:00
|
|
|
/* is bl2 INSIDE bl1 ? with left-right method and "labda's" */
|
|
|
|
/* returns '1' if correct hole */
|
2002-10-12 11:37:38 +00:00
|
|
|
BevPoint *bevp, *prevbevp;
|
|
|
|
float min,max,vec[3],hvec1[3],hvec2[3],lab,mu;
|
|
|
|
int nr, links=0,rechts=0,mode;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* take first vertex of possible hole */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
bevp= (BevPoint *)(bl2+1);
|
|
|
|
hvec1[0]= bevp->x;
|
|
|
|
hvec1[1]= bevp->y;
|
|
|
|
hvec1[2]= 0.0;
|
|
|
|
VECCOPY(hvec2,hvec1);
|
|
|
|
hvec2[0]+=1000;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* test it with all edges of potential surounding poly */
|
|
|
|
/* count number of transitions left-right */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
bevp= (BevPoint *)(bl1+1);
|
|
|
|
nr= bl1->nr;
|
|
|
|
prevbevp= bevp+(nr-1);
|
|
|
|
|
|
|
|
while(nr--) {
|
|
|
|
min= prevbevp->y;
|
|
|
|
max= bevp->y;
|
|
|
|
if(max<min) {
|
|
|
|
min= max;
|
|
|
|
max= prevbevp->y;
|
|
|
|
}
|
|
|
|
if(min!=max) {
|
|
|
|
if(min<=hvec1[1] && max>=hvec1[1]) {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* there's a transition, calc intersection point */
|
2002-10-12 11:37:38 +00:00
|
|
|
mode= cu_isectLL(&(prevbevp->x),&(bevp->x),hvec1,hvec2,0,1,&lab,&mu,vec);
|
2003-04-25 15:48:11 +00:00
|
|
|
/* if lab==0.0 or lab==1.0 then the edge intersects exactly a transition
|
|
|
|
only allow for one situation: we choose lab= 1.0
|
2002-10-12 11:37:38 +00:00
|
|
|
*/
|
|
|
|
if(mode>=0 && lab!=0.0) {
|
|
|
|
if(vec[0]<hvec1[0]) links++;
|
|
|
|
else rechts++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
prevbevp= bevp;
|
|
|
|
bevp++;
|
|
|
|
}
|
|
|
|
|
|
|
|
if( (links & 1) && (rechts & 1) ) return 1;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
struct bevelsort {
|
|
|
|
float left;
|
|
|
|
BevList *bl;
|
|
|
|
int dir;
|
|
|
|
};
|
|
|
|
|
|
|
|
int vergxcobev(const void *a1, const void *a2)
|
|
|
|
{
|
|
|
|
const struct bevelsort *x1=a1,*x2=a2;
|
|
|
|
|
|
|
|
if( x1->left > x2->left ) return 1;
|
|
|
|
else if( x1->left < x2->left) return -1;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* this function cannot be replaced with atan2, but why? */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
void calc_bevel_sin_cos(float x1, float y1, float x2, float y2, float *sina, float *cosa)
|
|
|
|
{
|
|
|
|
float t01, t02, x3, y3;
|
|
|
|
|
|
|
|
t01= (float)sqrt(x1*x1+y1*y1);
|
|
|
|
t02= (float)sqrt(x2*x2+y2*y2);
|
|
|
|
if(t01==0.0) t01= 1.0;
|
|
|
|
if(t02==0.0) t02= 1.0;
|
|
|
|
|
|
|
|
x1/=t01;
|
|
|
|
y1/=t01;
|
|
|
|
x2/=t02;
|
|
|
|
y2/=t02;
|
|
|
|
|
|
|
|
t02= x1*x2+y1*y2;
|
|
|
|
if(fabs(t02)>=1.0) t02= .5*M_PI;
|
|
|
|
else t02= (saacos(t02))/2.0f;
|
|
|
|
|
|
|
|
t02= (float)sin(t02);
|
|
|
|
if(t02==0.0) t02= 1.0;
|
|
|
|
|
|
|
|
x3= x1-x2;
|
|
|
|
y3= y1-y2;
|
|
|
|
if(x3==0 && y3==0) {
|
|
|
|
x3= y1;
|
|
|
|
y3= -x1;
|
|
|
|
} else {
|
|
|
|
t01= (float)sqrt(x3*x3+y3*y3);
|
|
|
|
x3/=t01;
|
|
|
|
y3/=t01;
|
|
|
|
}
|
|
|
|
|
|
|
|
*sina= -y3/t02;
|
|
|
|
*cosa= x3/t02;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
void alfa_bezpart(BezTriple *prevbezt, BezTriple *bezt, Nurb *nu, float *data_a)
|
|
|
|
{
|
|
|
|
BezTriple *pprev, *next, *last;
|
|
|
|
float fac, dfac, t[4];
|
|
|
|
int a;
|
|
|
|
|
|
|
|
last= nu->bezt+(nu->pntsu-1);
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* returns a point */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(prevbezt==nu->bezt) {
|
|
|
|
if(nu->flagu & 1) pprev= last;
|
|
|
|
else pprev= prevbezt;
|
|
|
|
}
|
|
|
|
else pprev= prevbezt-1;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* next point */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(bezt==last) {
|
|
|
|
if(nu->flagu & 1) next= nu->bezt;
|
|
|
|
else next= bezt;
|
|
|
|
}
|
|
|
|
else next= bezt+1;
|
|
|
|
|
|
|
|
fac= 0.0;
|
|
|
|
dfac= 1.0f/(float)nu->resolu;
|
|
|
|
|
|
|
|
for(a=0; a<nu->resolu; a++, fac+= dfac) {
|
|
|
|
|
|
|
|
set_four_ipo(fac, t, KEY_BSPLINE);
|
|
|
|
|
|
|
|
data_a[a]= t[0]*pprev->alfa + t[1]*prevbezt->alfa + t[2]*bezt->alfa + t[3]*next->alfa;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void makeBevelList(Object *ob)
|
|
|
|
{
|
2003-04-25 15:48:11 +00:00
|
|
|
/*
|
|
|
|
- convert all curves to polys, with indication of resol and flags for double-vertices
|
|
|
|
- possibly; do a smart vertice removal (in case Nurb)
|
|
|
|
- separate in individual blicks with BoundBox
|
|
|
|
- AutoHole detection
|
|
|
|
*/
|
2002-10-12 11:37:38 +00:00
|
|
|
Curve *cu;
|
|
|
|
Nurb *nu;
|
|
|
|
BezTriple *bezt, *prevbezt;
|
|
|
|
BPoint *bp;
|
|
|
|
BevList *bl, *blnew, *blnext;
|
|
|
|
BevPoint *bevp, *bevp2, *bevp1 = NULL, *bevp0;
|
|
|
|
float *data, *data_a, *v1, *v2, min, inp, x1, x2, y1, y2, vec[3];
|
|
|
|
struct bevelsort *sortdata, *sd, *sd1;
|
|
|
|
int a, b, len, nr, poly;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* this function needs an object, because of tflag and upflag */
|
2002-10-12 11:37:38 +00:00
|
|
|
cu= ob->data;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* STEP 1: MAKE POLYS */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
BLI_freelistN(&(cu->bev));
|
|
|
|
if(ob==G.obedit) nu= editNurb.first;
|
|
|
|
else nu= cu->nurb.first;
|
|
|
|
|
|
|
|
while(nu) {
|
|
|
|
if(nu->pntsu>1) {
|
|
|
|
|
|
|
|
if((nu->type & 7)==CU_POLY) {
|
|
|
|
|
|
|
|
len= nu->pntsu;
|
|
|
|
bl= MEM_callocN(sizeof(BevList)+len*sizeof(BevPoint), "makeBevelList");
|
|
|
|
BLI_addtail(&(cu->bev), bl);
|
|
|
|
|
|
|
|
if(nu->flagu & 1) bl->poly= 0;
|
|
|
|
else bl->poly= -1;
|
|
|
|
bl->nr= len;
|
|
|
|
bl->flag= 0;
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
bp= nu->bp;
|
|
|
|
|
|
|
|
while(len--) {
|
|
|
|
bevp->x= bp->vec[0];
|
|
|
|
bevp->y= bp->vec[1];
|
|
|
|
bevp->z= bp->vec[2];
|
|
|
|
bevp->alfa= bp->alfa;
|
|
|
|
bevp->f1= 1;
|
|
|
|
bevp++;
|
|
|
|
bp++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if((nu->type & 7)==CU_BEZIER) {
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
len= nu->resolu*(nu->pntsu+ (nu->flagu & 1) -1)+1; /* in case last point is not cyclic */
|
2002-10-12 11:37:38 +00:00
|
|
|
bl= MEM_callocN(sizeof(BevList)+len*sizeof(BevPoint), "makeBevelList");
|
|
|
|
BLI_addtail(&(cu->bev), bl);
|
|
|
|
|
|
|
|
if(nu->flagu & 1) bl->poly= 0;
|
|
|
|
else bl->poly= -1;
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
|
|
|
|
a= nu->pntsu-1;
|
|
|
|
bezt= nu->bezt;
|
|
|
|
if(nu->flagu & 1) {
|
|
|
|
a++;
|
|
|
|
prevbezt= nu->bezt+(nu->pntsu-1);
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
prevbezt= bezt;
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
|
|
|
|
data= MEM_mallocN(3*sizeof(float)*(nu->resolu+1), "makeBevelList2");
|
|
|
|
data_a= MEM_callocN(sizeof(float)*(nu->resolu+1), "data_a");
|
|
|
|
|
|
|
|
while(a--) {
|
|
|
|
if(prevbezt->h2==HD_VECT && bezt->h1==HD_VECT) {
|
|
|
|
|
|
|
|
bevp->x= prevbezt->vec[1][0];
|
|
|
|
bevp->y= prevbezt->vec[1][1];
|
|
|
|
bevp->z= prevbezt->vec[1][2];
|
|
|
|
bevp->alfa= prevbezt->alfa;
|
|
|
|
bevp->f1= 1;
|
|
|
|
bevp->f2= 0;
|
|
|
|
bevp++;
|
|
|
|
bl->nr++;
|
|
|
|
bl->flag= 1;
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
v1= prevbezt->vec[1];
|
|
|
|
v2= bezt->vec[0];
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* always do all three, to prevent data hanging around */
|
2005-07-16 19:07:02 +00:00
|
|
|
forward_diff_bezier(v1[0], v1[3], v2[0], v2[3], data, nu->resolu, 3);
|
|
|
|
forward_diff_bezier(v1[1], v1[4], v2[1], v2[4], data+1, nu->resolu, 3);
|
|
|
|
forward_diff_bezier(v1[2], v1[5], v2[2], v2[5], data+2, nu->resolu, 3);
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
if((nu->type & CU_2D)==0) {
|
|
|
|
if(cu->flag & CU_3D) {
|
|
|
|
alfa_bezpart(prevbezt, bezt, nu, data_a);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* indicate with handlecodes double points */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(prevbezt->h1==prevbezt->h2) {
|
|
|
|
if(prevbezt->h1==0 || prevbezt->h1==HD_VECT) bevp->f1= 1;
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
if(prevbezt->h1==0 || prevbezt->h1==HD_VECT) bevp->f1= 1;
|
|
|
|
else if(prevbezt->h2==0 || prevbezt->h2==HD_VECT) bevp->f1= 1;
|
|
|
|
}
|
|
|
|
|
|
|
|
v1= data;
|
|
|
|
v2= data_a;
|
|
|
|
nr= nu->resolu;
|
|
|
|
|
|
|
|
while(nr--) {
|
|
|
|
bevp->x= v1[0];
|
|
|
|
bevp->y= v1[1];
|
|
|
|
bevp->z= v1[2];
|
|
|
|
bevp->alfa= v2[0];
|
|
|
|
bevp++;
|
|
|
|
v1+=3;
|
|
|
|
v2++;
|
|
|
|
}
|
|
|
|
bl->nr+= nu->resolu;
|
|
|
|
|
|
|
|
}
|
|
|
|
prevbezt= bezt;
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
|
|
|
|
MEM_freeN(data);
|
|
|
|
MEM_freeN(data_a);
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
if((nu->flagu & 1)==0) { /* not cyclic: endpoint */
|
2002-10-12 11:37:38 +00:00
|
|
|
bevp->x= prevbezt->vec[1][0];
|
|
|
|
bevp->y= prevbezt->vec[1][1];
|
|
|
|
bevp->z= prevbezt->vec[1][2];
|
|
|
|
bl->nr++;
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
else if((nu->type & 7)==CU_NURBS) {
|
|
|
|
if(nu->pntsv==1) {
|
|
|
|
len= nu->resolu*nu->pntsu;
|
|
|
|
bl= MEM_mallocN(sizeof(BevList)+len*sizeof(BevPoint), "makeBevelList3");
|
|
|
|
BLI_addtail(&(cu->bev), bl);
|
|
|
|
bl->nr= len;
|
|
|
|
bl->flag= 0;
|
|
|
|
if(nu->flagu & 1) bl->poly= 0;
|
|
|
|
else bl->poly= -1;
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
data= MEM_callocN(4*sizeof(float)*len, "makeBevelList4"); /* has to be zero-ed */
|
2002-10-12 11:37:38 +00:00
|
|
|
makeNurbcurve(nu, data, 4);
|
|
|
|
|
|
|
|
v1= data;
|
|
|
|
while(len--) {
|
|
|
|
bevp->x= v1[0];
|
|
|
|
bevp->y= v1[1];
|
|
|
|
bevp->z= v1[2];
|
|
|
|
bevp->alfa= v1[3];
|
|
|
|
|
|
|
|
bevp->f1= bevp->f2= 0;
|
|
|
|
bevp++;
|
|
|
|
v1+=4;
|
|
|
|
}
|
|
|
|
MEM_freeN(data);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* STEP 2: DOUBLE POINTS AND AUTOMATIC RESOLUTION, REDUCE DATABLOCKS */
|
2002-10-12 11:37:38 +00:00
|
|
|
bl= cu->bev.first;
|
|
|
|
while(bl) {
|
|
|
|
nr= bl->nr;
|
|
|
|
bevp1= (BevPoint *)(bl+1);
|
|
|
|
bevp0= bevp1+(nr-1);
|
|
|
|
nr--;
|
|
|
|
while(nr--) {
|
|
|
|
if( fabs(bevp0->x-bevp1->x)<0.00001 ) {
|
|
|
|
if( fabs(bevp0->y-bevp1->y)<0.00001 ) {
|
|
|
|
if( fabs(bevp0->z-bevp1->z)<0.00001 ) {
|
|
|
|
bevp0->f2= 1;
|
|
|
|
bl->flag++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
bevp0= bevp1;
|
|
|
|
bevp1++;
|
|
|
|
}
|
|
|
|
bl= bl->next;
|
|
|
|
}
|
|
|
|
bl= cu->bev.first;
|
|
|
|
while(bl) {
|
|
|
|
blnext= bl->next;
|
|
|
|
if(bl->flag) {
|
2003-04-25 15:48:11 +00:00
|
|
|
nr= bl->nr- bl->flag+1; /* +1 because vectorbezier sets flag too */
|
2002-10-12 11:37:38 +00:00
|
|
|
blnew= MEM_mallocN(sizeof(BevList)+nr*sizeof(BevPoint), "makeBevelList");
|
|
|
|
memcpy(blnew, bl, sizeof(BevList));
|
|
|
|
blnew->nr= 0;
|
|
|
|
BLI_remlink(&(cu->bev), bl);
|
2003-04-25 15:48:11 +00:00
|
|
|
BLI_insertlinkbefore(&(cu->bev),blnext,blnew); /* to make sure bevlijst is tuned with nurblist */
|
2002-10-12 11:37:38 +00:00
|
|
|
bevp0= (BevPoint *)(bl+1);
|
|
|
|
bevp1= (BevPoint *)(blnew+1);
|
|
|
|
nr= bl->nr;
|
|
|
|
while(nr--) {
|
|
|
|
if(bevp0->f2==0) {
|
|
|
|
memcpy(bevp1, bevp0, sizeof(BevPoint));
|
|
|
|
bevp1++;
|
|
|
|
blnew->nr++;
|
|
|
|
}
|
|
|
|
bevp0++;
|
|
|
|
}
|
|
|
|
MEM_freeN(bl);
|
|
|
|
blnew->flag= 0;
|
|
|
|
}
|
|
|
|
bl= blnext;
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* STEP 3: COUNT POLYS TELLEN AND AUTOHOLE */
|
2002-10-12 11:37:38 +00:00
|
|
|
bl= cu->bev.first;
|
|
|
|
poly= 0;
|
|
|
|
while(bl) {
|
|
|
|
if(bl->poly>=0) {
|
|
|
|
poly++;
|
|
|
|
bl->poly= poly;
|
2003-04-25 15:48:11 +00:00
|
|
|
bl->gat= 0; /* 'gat' is dutch for hole */
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
bl= bl->next;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* find extreme left points, also test (turning) direction */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(poly>0) {
|
|
|
|
sd= sortdata= MEM_mallocN(sizeof(struct bevelsort)*poly, "makeBevelList5");
|
|
|
|
bl= cu->bev.first;
|
|
|
|
while(bl) {
|
|
|
|
if(bl->poly>0) {
|
|
|
|
|
|
|
|
min= 300000.0;
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
nr= bl->nr;
|
|
|
|
while(nr--) {
|
|
|
|
if(min>bevp->x) {
|
|
|
|
min= bevp->x;
|
|
|
|
bevp1= bevp;
|
|
|
|
}
|
|
|
|
bevp++;
|
|
|
|
}
|
|
|
|
sd->bl= bl;
|
|
|
|
sd->left= min;
|
|
|
|
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
if(bevp1== bevp) bevp0= bevp+ (bl->nr-1);
|
|
|
|
else bevp0= bevp1-1;
|
|
|
|
bevp= bevp+ (bl->nr-1);
|
|
|
|
if(bevp1== bevp) bevp2= (BevPoint *)(bl+1);
|
|
|
|
else bevp2= bevp1+1;
|
|
|
|
|
|
|
|
inp= (bevp1->x- bevp0->x)*(bevp0->y- bevp2->y)
|
|
|
|
+(bevp0->y- bevp1->y)*(bevp0->x- bevp2->x);
|
|
|
|
|
|
|
|
if(inp>0.0) sd->dir= 1;
|
|
|
|
else sd->dir= 0;
|
|
|
|
|
|
|
|
sd++;
|
|
|
|
}
|
|
|
|
|
|
|
|
bl= bl->next;
|
|
|
|
}
|
|
|
|
qsort(sortdata,poly,sizeof(struct bevelsort), vergxcobev);
|
|
|
|
|
|
|
|
sd= sortdata+1;
|
|
|
|
for(a=1; a<poly; a++, sd++) {
|
2003-04-25 15:48:11 +00:00
|
|
|
bl= sd->bl; /* is bl a hole? */
|
2002-10-12 11:37:38 +00:00
|
|
|
sd1= sortdata+ (a-1);
|
2003-04-25 15:48:11 +00:00
|
|
|
for(b=a-1; b>=0; b--, sd1--) { /* all polys to the left */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(bevelinside(sd1->bl, bl)) {
|
|
|
|
bl->gat= 1- sd1->bl->gat;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* turning direction */
|
2002-10-12 11:37:38 +00:00
|
|
|
if((cu->flag & CU_3D)==0) {
|
|
|
|
sd= sortdata;
|
|
|
|
for(a=0; a<poly; a++, sd++) {
|
|
|
|
if(sd->bl->gat==sd->dir) {
|
|
|
|
bl= sd->bl;
|
|
|
|
bevp1= (BevPoint *)(bl+1);
|
|
|
|
bevp2= bevp1+ (bl->nr-1);
|
|
|
|
nr= bl->nr/2;
|
|
|
|
while(nr--) {
|
|
|
|
SWAP(BevPoint, *bevp1, *bevp2);
|
|
|
|
bevp1++;
|
|
|
|
bevp2--;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
MEM_freeN(sortdata);
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* STEP 4: COSINES */
|
2002-10-12 11:37:38 +00:00
|
|
|
bl= cu->bev.first;
|
|
|
|
while(bl) {
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
if(bl->nr==2) { /* 2 pnt, treat separate */
|
2002-10-12 11:37:38 +00:00
|
|
|
bevp2= (BevPoint *)(bl+1);
|
|
|
|
bevp1= bevp2+1;
|
|
|
|
|
|
|
|
x1= bevp1->x- bevp2->x;
|
|
|
|
y1= bevp1->y- bevp2->y;
|
|
|
|
|
|
|
|
calc_bevel_sin_cos(x1, y1, -x1, -y1, &(bevp1->sina), &(bevp1->cosa));
|
|
|
|
bevp2->sina= bevp1->sina;
|
|
|
|
bevp2->cosa= bevp1->cosa;
|
|
|
|
|
|
|
|
if(cu->flag & CU_3D) { /* 3D */
|
|
|
|
float *quat, q[4];
|
|
|
|
|
|
|
|
vec[0]= bevp1->x - bevp2->x;
|
|
|
|
vec[1]= bevp1->y - bevp2->y;
|
|
|
|
vec[2]= bevp1->z - bevp2->z;
|
|
|
|
|
|
|
|
quat= vectoquat(vec, 5, 1);
|
|
|
|
|
|
|
|
Normalise(vec);
|
|
|
|
q[0]= (float)cos(0.5*bevp1->alfa);
|
|
|
|
x1= (float)sin(0.5*bevp1->alfa);
|
|
|
|
q[1]= x1*vec[0];
|
|
|
|
q[2]= x1*vec[1];
|
|
|
|
q[3]= x1*vec[2];
|
|
|
|
QuatMul(quat, q, quat);
|
|
|
|
|
|
|
|
QuatToMat3(quat, bevp1->mat);
|
|
|
|
Mat3CpyMat3(bevp2->mat, bevp1->mat);
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
else if(bl->nr>2) {
|
|
|
|
bevp2= (BevPoint *)(bl+1);
|
|
|
|
bevp1= bevp2+(bl->nr-1);
|
|
|
|
bevp0= bevp1-1;
|
|
|
|
|
|
|
|
|
|
|
|
nr= bl->nr;
|
|
|
|
|
|
|
|
while(nr--) {
|
|
|
|
|
|
|
|
if(cu->flag & CU_3D) { /* 3D */
|
|
|
|
float *quat, q[4];
|
|
|
|
|
|
|
|
vec[0]= bevp2->x - bevp0->x;
|
|
|
|
vec[1]= bevp2->y - bevp0->y;
|
|
|
|
vec[2]= bevp2->z - bevp0->z;
|
|
|
|
|
|
|
|
Normalise(vec);
|
|
|
|
|
|
|
|
quat= vectoquat(vec, 5, 1);
|
|
|
|
|
|
|
|
q[0]= (float)cos(0.5*bevp1->alfa);
|
|
|
|
x1= (float)sin(0.5*bevp1->alfa);
|
|
|
|
q[1]= x1*vec[0];
|
|
|
|
q[2]= x1*vec[1];
|
|
|
|
q[3]= x1*vec[2];
|
|
|
|
QuatMul(quat, q, quat);
|
|
|
|
|
|
|
|
QuatToMat3(quat, bevp1->mat);
|
|
|
|
}
|
|
|
|
|
|
|
|
x1= bevp1->x- bevp0->x;
|
|
|
|
x2= bevp1->x- bevp2->x;
|
|
|
|
y1= bevp1->y- bevp0->y;
|
|
|
|
y2= bevp1->y- bevp2->y;
|
|
|
|
|
|
|
|
calc_bevel_sin_cos(x1, y1, x2, y2, &(bevp1->sina), &(bevp1->cosa));
|
|
|
|
|
|
|
|
|
|
|
|
bevp0= bevp1;
|
|
|
|
bevp1= bevp2;
|
|
|
|
bevp2++;
|
|
|
|
}
|
2003-04-25 15:48:11 +00:00
|
|
|
/* correct non-cyclic cases */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(bl->poly== -1) {
|
|
|
|
if(bl->nr>2) {
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
bevp1= bevp+1;
|
|
|
|
bevp->sina= bevp1->sina;
|
|
|
|
bevp->cosa= bevp1->cosa;
|
|
|
|
Mat3CpyMat3(bevp->mat, bevp1->mat);
|
|
|
|
bevp= (BevPoint *)(bl+1);
|
|
|
|
bevp+= (bl->nr-1);
|
|
|
|
bevp1= bevp-1;
|
|
|
|
bevp->sina= bevp1->sina;
|
|
|
|
bevp->cosa= bevp1->cosa;
|
|
|
|
Mat3CpyMat3(bevp->mat, bevp1->mat);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
bl= bl->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* ****************** HANDLES ************** */
|
|
|
|
|
|
|
|
/*
|
|
|
|
* handlecodes:
|
2003-04-25 15:48:11 +00:00
|
|
|
* 1: nothing, 1:auto, 2:vector, 3:aligned
|
2002-10-12 11:37:38 +00:00
|
|
|
*/
|
|
|
|
|
2005-07-10 12:50:14 +00:00
|
|
|
/* mode: is not zero when IpoCurve, is 2 when forced horizontal for autohandles */
|
|
|
|
void calchandleNurb(BezTriple *bezt, BezTriple *prev, BezTriple *next, int mode)
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
float *p1,*p2,*p3,pt[3];
|
|
|
|
float dx1,dy1,dz1,dx,dy,dz,vx,vy,vz,len,len1,len2;
|
|
|
|
|
|
|
|
if(bezt->h1==0 && bezt->h2==0) return;
|
|
|
|
|
|
|
|
p2= bezt->vec[1];
|
|
|
|
|
|
|
|
if(prev==0) {
|
|
|
|
p3= next->vec[1];
|
|
|
|
pt[0]= 2*p2[0]- p3[0];
|
|
|
|
pt[1]= 2*p2[1]- p3[1];
|
|
|
|
pt[2]= 2*p2[2]- p3[2];
|
|
|
|
p1= pt;
|
|
|
|
}
|
|
|
|
else p1= prev->vec[1];
|
|
|
|
|
|
|
|
if(next==0) {
|
|
|
|
pt[0]= 2*p2[0]- p1[0];
|
|
|
|
pt[1]= 2*p2[1]- p1[1];
|
|
|
|
pt[2]= 2*p2[2]- p1[2];
|
|
|
|
p3= pt;
|
|
|
|
}
|
|
|
|
else p3= next->vec[1];
|
|
|
|
|
|
|
|
if(mode && bezt->h1==HD_AUTO && prev) {
|
|
|
|
dx= p2[0] - (p1[0]+p1[3])/2.0f;
|
|
|
|
dy= p2[1] - (p1[1]+p1[4])/2.0f;
|
|
|
|
dz= p2[2] - (p1[2]+p1[5])/2.0f;
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
dx= p2[0]- p1[0];
|
|
|
|
dy= p2[1]- p1[1];
|
|
|
|
dz= p2[2]- p1[2];
|
|
|
|
}
|
|
|
|
len1= (float)sqrt(dx*dx+dy*dy+dz*dz);
|
|
|
|
|
|
|
|
if(mode && bezt->h2==HD_AUTO && next) {
|
|
|
|
dx1= (p3[0]+p3[-3])/2.0f - p2[0];
|
|
|
|
dy1= (p3[1]+p3[-2])/2.0f - p2[1];
|
|
|
|
dz1= (p3[2]+p3[-1])/2.0f - p2[2];
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
dx1= p3[0]- p2[0];
|
|
|
|
dy1= p3[1]- p2[1];
|
|
|
|
dz1= p3[2]- p2[2];
|
|
|
|
}
|
|
|
|
len2= (float)sqrt(dx1*dx1+dy1*dy1+dz1*dz1);
|
|
|
|
|
|
|
|
if(len1==0.0f) len1=1.0f;
|
|
|
|
if(len2==0.0f) len2=1.0f;
|
|
|
|
|
|
|
|
|
|
|
|
if(bezt->h1==HD_AUTO || bezt->h2==HD_AUTO) { /* auto */
|
|
|
|
vx= dx1/len2 + dx/len1;
|
|
|
|
vy= dy1/len2 + dy/len1;
|
|
|
|
vz= dz1/len2 + dz/len1;
|
2005-03-03 21:25:53 +00:00
|
|
|
len= 2.5614f*(float)sqrt(vx*vx + vy*vy + vz*vz);
|
2002-10-12 11:37:38 +00:00
|
|
|
if(len!=0.0f) {
|
|
|
|
|
|
|
|
if(len1>5.0f*len2) len1= 5.0f*len2;
|
|
|
|
if(len2>5.0f*len1) len2= 5.0f*len1;
|
|
|
|
|
|
|
|
if(bezt->h1==HD_AUTO) {
|
|
|
|
len1/=len;
|
|
|
|
*(p2-3)= *p2-vx*len1;
|
|
|
|
*(p2-2)= *(p2+1)-vy*len1;
|
|
|
|
*(p2-1)= *(p2+2)-vz*len1;
|
2005-07-10 12:50:14 +00:00
|
|
|
|
|
|
|
if(mode==2 && next && prev) { // keep horizontal if extrema
|
|
|
|
float ydiff1= prev->vec[1][1] - bezt->vec[1][1];
|
|
|
|
float ydiff2= next->vec[1][1] - bezt->vec[1][1];
|
2005-07-11 12:31:15 +00:00
|
|
|
if( (ydiff1<=0.0 && ydiff2<=0.0) || (ydiff1>=0.0 && ydiff2>=0.0) ) {
|
2005-07-10 12:50:14 +00:00
|
|
|
bezt->vec[0][1]= bezt->vec[1][1];
|
|
|
|
}
|
|
|
|
}
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
if(bezt->h2==HD_AUTO) {
|
|
|
|
len2/=len;
|
|
|
|
*(p2+3)= *p2+vx*len2;
|
|
|
|
*(p2+4)= *(p2+1)+vy*len2;
|
|
|
|
*(p2+5)= *(p2+2)+vz*len2;
|
2005-07-10 12:50:14 +00:00
|
|
|
|
|
|
|
if(mode==2 && next && prev) { // keep horizontal if extrema
|
|
|
|
float ydiff1= prev->vec[1][1] - bezt->vec[1][1];
|
|
|
|
float ydiff2= next->vec[1][1] - bezt->vec[1][1];
|
2005-07-11 12:31:15 +00:00
|
|
|
if( (ydiff1<=0.0 && ydiff2<=0.0) || (ydiff1>=0.0 && ydiff2>=0.0) ) {
|
2005-07-10 12:50:14 +00:00
|
|
|
bezt->vec[2][1]= bezt->vec[1][1];
|
|
|
|
}
|
|
|
|
}
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
2005-07-10 12:50:14 +00:00
|
|
|
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if(bezt->h1==HD_VECT) { /* vector */
|
|
|
|
dx/=3.0;
|
|
|
|
dy/=3.0;
|
|
|
|
dz/=3.0;
|
|
|
|
*(p2-3)= *p2-dx;
|
|
|
|
*(p2-2)= *(p2+1)-dy;
|
|
|
|
*(p2-1)= *(p2+2)-dz;
|
|
|
|
}
|
|
|
|
if(bezt->h2==HD_VECT) {
|
|
|
|
dx1/=3.0;
|
|
|
|
dy1/=3.0;
|
|
|
|
dz1/=3.0;
|
|
|
|
*(p2+3)= *p2+dx1;
|
|
|
|
*(p2+4)= *(p2+1)+dy1;
|
|
|
|
*(p2+5)= *(p2+2)+dz1;
|
|
|
|
}
|
|
|
|
|
|
|
|
len2= VecLenf(p2, p2+3);
|
|
|
|
len1= VecLenf(p2, p2-3);
|
|
|
|
if(len1==0.0) len1=1.0;
|
|
|
|
if(len2==0.0) len2=1.0;
|
2005-07-10 12:50:14 +00:00
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
if(bezt->f1 & 1) { /* order of calculation */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(bezt->h2==HD_ALIGN) { /* aligned */
|
|
|
|
len= len2/len1;
|
|
|
|
p2[3]= p2[0]+len*(p2[0]-p2[-3]);
|
|
|
|
p2[4]= p2[1]+len*(p2[1]-p2[-2]);
|
|
|
|
p2[5]= p2[2]+len*(p2[2]-p2[-1]);
|
|
|
|
}
|
|
|
|
if(bezt->h1==HD_ALIGN) {
|
|
|
|
len= len1/len2;
|
|
|
|
p2[-3]= p2[0]+len*(p2[0]-p2[3]);
|
|
|
|
p2[-2]= p2[1]+len*(p2[1]-p2[4]);
|
|
|
|
p2[-1]= p2[2]+len*(p2[2]-p2[5]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
if(bezt->h1==HD_ALIGN) {
|
|
|
|
len= len1/len2;
|
|
|
|
p2[-3]= p2[0]+len*(p2[0]-p2[3]);
|
|
|
|
p2[-2]= p2[1]+len*(p2[1]-p2[4]);
|
|
|
|
p2[-1]= p2[2]+len*(p2[2]-p2[5]);
|
|
|
|
}
|
|
|
|
if(bezt->h2==HD_ALIGN) { /* aligned */
|
|
|
|
len= len2/len1;
|
|
|
|
p2[3]= p2[0]+len*(p2[0]-p2[-3]);
|
|
|
|
p2[4]= p2[1]+len*(p2[1]-p2[-2]);
|
|
|
|
p2[5]= p2[2]+len*(p2[2]-p2[-1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
void calchandlesNurb(Nurb *nu) /* first, if needed, set handle flags */
|
2002-10-12 11:37:38 +00:00
|
|
|
{
|
|
|
|
BezTriple *bezt, *prev, *next;
|
|
|
|
short a;
|
|
|
|
|
|
|
|
if((nu->type & 7)!=1) return;
|
|
|
|
if(nu->pntsu<2) return;
|
|
|
|
|
|
|
|
a= nu->pntsu;
|
|
|
|
bezt= nu->bezt;
|
|
|
|
if(nu->flagu & 1) prev= bezt+(a-1);
|
|
|
|
else prev= 0;
|
|
|
|
next= bezt+1;
|
|
|
|
|
|
|
|
while(a--) {
|
|
|
|
calchandleNurb(bezt, prev, next, 0);
|
|
|
|
prev= bezt;
|
|
|
|
if(a==1) {
|
|
|
|
if(nu->flagu & 1) next= nu->bezt;
|
|
|
|
else next= 0;
|
|
|
|
}
|
|
|
|
else next++;
|
|
|
|
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void testhandlesNurb(Nurb *nu)
|
|
|
|
{
|
2003-04-25 15:48:11 +00:00
|
|
|
/* use when something has changed with handles.
|
|
|
|
it treats all BezTriples with the following rules:
|
|
|
|
PHASE 1: do types have to be altered?
|
|
|
|
Auto handles: become aligned when selection status is NOT(000 || 111)
|
|
|
|
Vector handles: become 'nothing' when (one half selected AND other not)
|
|
|
|
PHASE 2: recalculate handles
|
|
|
|
*/
|
2002-10-12 11:37:38 +00:00
|
|
|
BezTriple *bezt;
|
|
|
|
short flag, a;
|
|
|
|
|
|
|
|
if((nu->type & 7)!=CU_BEZIER) return;
|
|
|
|
|
|
|
|
bezt= nu->bezt;
|
|
|
|
a= nu->pntsu;
|
|
|
|
while(a--) {
|
|
|
|
flag= 0;
|
|
|
|
if(bezt->f1 & 1) flag++;
|
|
|
|
if(bezt->f2 & 1) flag += 2;
|
|
|
|
if(bezt->f3 & 1) flag += 4;
|
|
|
|
|
|
|
|
if( !(flag==0 || flag==7) ) {
|
|
|
|
if(bezt->h1==HD_AUTO) { /* auto */
|
|
|
|
bezt->h1= HD_ALIGN;
|
|
|
|
}
|
|
|
|
if(bezt->h2==HD_AUTO) { /* auto */
|
|
|
|
bezt->h2= HD_ALIGN;
|
|
|
|
}
|
|
|
|
|
|
|
|
if(bezt->h1==HD_VECT) { /* vector */
|
|
|
|
if(flag < 4) bezt->h1= 0;
|
|
|
|
}
|
|
|
|
if(bezt->h2==HD_VECT) { /* vector */
|
|
|
|
if( flag > 3) bezt->h2= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
|
|
|
|
calchandlesNurb(nu);
|
|
|
|
}
|
|
|
|
|
|
|
|
void autocalchandlesNurb(Nurb *nu, int flag)
|
|
|
|
{
|
2003-04-25 15:48:11 +00:00
|
|
|
/* checks handle coordinates and calculates type */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
BezTriple *bezt2, *bezt1, *bezt0;
|
|
|
|
int i, align, leftsmall, rightsmall;
|
|
|
|
|
|
|
|
if(nu==0 || nu->bezt==0) return;
|
|
|
|
|
|
|
|
bezt2 = nu->bezt;
|
|
|
|
bezt1 = bezt2 + (nu->pntsu-1);
|
|
|
|
bezt0 = bezt1 - 1;
|
|
|
|
i = nu->pntsu;
|
|
|
|
|
|
|
|
while(i--) {
|
|
|
|
|
|
|
|
align= leftsmall= rightsmall= 0;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* left handle: */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(flag==0 || (bezt1->f1 & flag) ) {
|
|
|
|
bezt1->h1= 0;
|
2003-04-25 15:48:11 +00:00
|
|
|
/* distance too short: vectorhandle */
|
2002-10-12 11:37:38 +00:00
|
|
|
if( VecLenf( bezt1->vec[1], bezt0->vec[1] ) < 0.0001) {
|
|
|
|
bezt1->h1= HD_VECT;
|
|
|
|
leftsmall= 1;
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
/* aligned handle? */
|
|
|
|
if(DistVL2Dfl(bezt1->vec[1], bezt1->vec[0], bezt1->vec[2]) < 0.0001) {
|
|
|
|
align= 1;
|
|
|
|
bezt1->h1= HD_ALIGN;
|
|
|
|
}
|
2003-04-25 15:48:11 +00:00
|
|
|
/* or vector handle? */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(DistVL2Dfl(bezt1->vec[0], bezt1->vec[1], bezt0->vec[1]) < 0.0001)
|
|
|
|
bezt1->h1= HD_VECT;
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
2003-04-25 15:48:11 +00:00
|
|
|
/* right handle: */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(flag==0 || (bezt1->f3 & flag) ) {
|
|
|
|
bezt1->h2= 0;
|
2003-04-25 15:48:11 +00:00
|
|
|
/* distance too short: vectorhandle */
|
2002-10-12 11:37:38 +00:00
|
|
|
if( VecLenf( bezt1->vec[1], bezt2->vec[1] ) < 0.0001) {
|
|
|
|
bezt1->h2= HD_VECT;
|
|
|
|
rightsmall= 1;
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
/* aligned handle? */
|
|
|
|
if(align) bezt1->h2= HD_ALIGN;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* or vector handle? */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(DistVL2Dfl(bezt1->vec[2], bezt1->vec[1], bezt2->vec[1]) < 0.0001)
|
|
|
|
bezt1->h2= HD_VECT;
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if(leftsmall && bezt1->h2==HD_ALIGN) bezt1->h2= 0;
|
|
|
|
if(rightsmall && bezt1->h1==HD_ALIGN) bezt1->h1= 0;
|
|
|
|
|
2003-04-25 15:48:11 +00:00
|
|
|
/* undesired combination: */
|
2002-10-12 11:37:38 +00:00
|
|
|
if(bezt1->h1==HD_ALIGN && bezt1->h2==HD_VECT) bezt1->h1= 0;
|
|
|
|
if(bezt1->h2==HD_ALIGN && bezt1->h1==HD_VECT) bezt1->h2= 0;
|
|
|
|
|
|
|
|
bezt0= bezt1;
|
|
|
|
bezt1= bezt2;
|
|
|
|
bezt2++;
|
|
|
|
}
|
|
|
|
|
|
|
|
calchandlesNurb(nu);
|
|
|
|
}
|
|
|
|
|
|
|
|
void autocalchandlesNurb_all(int flag)
|
|
|
|
{
|
|
|
|
Nurb *nu;
|
|
|
|
|
|
|
|
nu= editNurb.first;
|
|
|
|
while(nu) {
|
|
|
|
autocalchandlesNurb(nu, flag);
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void sethandlesNurb(short code)
|
|
|
|
{
|
|
|
|
/* code==1: set autohandle */
|
|
|
|
/* code==2: set vectorhandle */
|
2005-07-10 12:50:14 +00:00
|
|
|
/* code==3 (HD_ALIGN) it toggle, vectorhandles become HD_FREE */
|
|
|
|
/* code==4: sets icu flag to become IPO_AUTO_HORIZ, horizontal extremes on auto-handles */
|
2002-10-12 11:37:38 +00:00
|
|
|
Nurb *nu;
|
|
|
|
BezTriple *bezt;
|
|
|
|
short a, ok=0;
|
|
|
|
|
|
|
|
if(code==1 || code==2) {
|
|
|
|
nu= editNurb.first;
|
|
|
|
while(nu) {
|
|
|
|
if( (nu->type & 7)==1) {
|
|
|
|
bezt= nu->bezt;
|
|
|
|
a= nu->pntsu;
|
|
|
|
while(a--) {
|
|
|
|
if(bezt->f1 || bezt->f3) {
|
|
|
|
if(bezt->f1) bezt->h1= code;
|
|
|
|
if(bezt->f3) bezt->h2= code;
|
|
|
|
if(bezt->h1!=bezt->h2) {
|
|
|
|
if ELEM(bezt->h1, HD_ALIGN, HD_AUTO) bezt->h1= HD_FREE;
|
|
|
|
if ELEM(bezt->h2, HD_ALIGN, HD_AUTO) bezt->h2= HD_FREE;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
calchandlesNurb(nu);
|
|
|
|
}
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* there is 1 handle not FREE: FREE it all, else make ALIGNED */
|
2002-10-12 11:37:38 +00:00
|
|
|
|
|
|
|
nu= editNurb.first;
|
|
|
|
while(nu) {
|
|
|
|
if( (nu->type & 7)==1) {
|
|
|
|
bezt= nu->bezt;
|
|
|
|
a= nu->pntsu;
|
|
|
|
while(a--) {
|
|
|
|
if(bezt->f1 && bezt->h1) ok= 1;
|
|
|
|
if(bezt->f3 && bezt->h2) ok= 1;
|
|
|
|
if(ok) break;
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
if(ok) ok= HD_FREE;
|
|
|
|
else ok= HD_ALIGN;
|
|
|
|
|
|
|
|
nu= editNurb.first;
|
|
|
|
while(nu) {
|
|
|
|
if( (nu->type & 7)==1) {
|
|
|
|
bezt= nu->bezt;
|
|
|
|
a= nu->pntsu;
|
|
|
|
while(a--) {
|
|
|
|
if(bezt->f1) bezt->h1= ok;
|
|
|
|
if(bezt->f3 ) bezt->h2= ok;
|
|
|
|
|
|
|
|
bezt++;
|
|
|
|
}
|
|
|
|
calchandlesNurb(nu);
|
|
|
|
}
|
|
|
|
nu= nu->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void swapdata(void *adr1, void *adr2, int len)
|
|
|
|
{
|
|
|
|
|
|
|
|
if(len<=0) return;
|
|
|
|
|
|
|
|
if(len<65) {
|
|
|
|
char adr[64];
|
|
|
|
|
|
|
|
memcpy(adr, adr1, len);
|
|
|
|
memcpy(adr1, adr2, len);
|
|
|
|
memcpy(adr2, adr, len);
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
char *adr;
|
|
|
|
|
2005-04-17 18:00:33 +00:00
|
|
|
adr= (char *)MEM_mallocN(len, "curve swap");
|
2002-10-12 11:37:38 +00:00
|
|
|
memcpy(adr, adr1, len);
|
|
|
|
memcpy(adr1, adr2, len);
|
|
|
|
memcpy(adr2, adr, len);
|
2005-04-17 18:00:33 +00:00
|
|
|
MEM_freeN(adr);
|
2002-10-12 11:37:38 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void switchdirectionNurb(Nurb *nu)
|
|
|
|
{
|
|
|
|
BezTriple *bezt1, *bezt2;
|
|
|
|
BPoint *bp1, *bp2;
|
|
|
|
float *fp1, *fp2, *tempf;
|
|
|
|
int a, b;
|
|
|
|
|
|
|
|
if(nu->pntsu==1 && nu->pntsv==1) return;
|
|
|
|
|
|
|
|
if((nu->type & 7)==CU_BEZIER) {
|
|
|
|
a= nu->pntsu;
|
|
|
|
bezt1= nu->bezt;
|
|
|
|
bezt2= bezt1+(a-1);
|
2003-04-25 15:48:11 +00:00
|
|
|
if(a & 1) a+= 1; /* if odd, also swap middle content */
|
2002-10-12 11:37:38 +00:00
|
|
|
a/= 2;
|
|
|
|
while(a>0) {
|
|
|
|
if(bezt1!=bezt2) SWAP(BezTriple, *bezt1, *bezt2);
|
|
|
|
|
|
|
|
swapdata(bezt1->vec[0], bezt1->vec[2], 12);
|
|
|
|
if(bezt1!=bezt2) swapdata(bezt2->vec[0], bezt2->vec[2], 12);
|
|
|
|
|
|
|
|
SWAP(char, bezt1->h1, bezt1->h2);
|
|
|
|
SWAP(short, bezt1->f1, bezt1->f3);
|
|
|
|
|
|
|
|
if(bezt1!=bezt2) {
|
|
|
|
SWAP(char, bezt2->h1, bezt2->h2);
|
|
|
|
SWAP(short, bezt2->f1, bezt2->f3);
|
|
|
|
bezt1->alfa= -bezt1->alfa;
|
|
|
|
bezt2->alfa= -bezt2->alfa;
|
|
|
|
}
|
|
|
|
a--;
|
|
|
|
bezt1++;
|
|
|
|
bezt2--;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if(nu->pntsv==1) {
|
|
|
|
a= nu->pntsu;
|
|
|
|
bp1= nu->bp;
|
|
|
|
bp2= bp1+(a-1);
|
|
|
|
a/= 2;
|
|
|
|
while(bp1!=bp2 && a>0) {
|
|
|
|
SWAP(BPoint, *bp1, *bp2);
|
|
|
|
a--;
|
|
|
|
bp1->alfa= -bp1->alfa;
|
|
|
|
bp2->alfa= -bp2->alfa;
|
|
|
|
bp1++;
|
|
|
|
bp2--;
|
|
|
|
}
|
|
|
|
if((nu->type & 7)==CU_NURBS) {
|
2003-04-25 15:48:11 +00:00
|
|
|
/* inverse knots */
|
2002-10-12 11:37:38 +00:00
|
|
|
a= KNOTSU(nu);
|
|
|
|
fp1= nu->knotsu;
|
|
|
|
fp2= fp1+(a-1);
|
|
|
|
a/= 2;
|
|
|
|
while(fp1!=fp2 && a>0) {
|
|
|
|
SWAP(float, *fp1, *fp2);
|
|
|
|
a--;
|
|
|
|
fp1++;
|
|
|
|
fp2--;
|
|
|
|
}
|
2003-04-25 15:48:11 +00:00
|
|
|
/* and make in increasing order again */
|
2002-10-12 11:37:38 +00:00
|
|
|
a= KNOTSU(nu);
|
|
|
|
fp1= nu->knotsu;
|
|
|
|
fp2=tempf= MEM_mallocN(sizeof(float)*a, "switchdirect");
|
|
|
|
while(a--) {
|
|
|
|
fp2[0]= fabs(fp1[1]-fp1[0]);
|
|
|
|
fp1++;
|
|
|
|
fp2++;
|
|
|
|
}
|
|
|
|
|
|
|
|
a= KNOTSU(nu)-1;
|
|
|
|
fp1= nu->knotsu;
|
|
|
|
fp2= tempf;
|
|
|
|
fp1[0]= 0.0;
|
|
|
|
fp1++;
|
|
|
|
while(a--) {
|
|
|
|
fp1[0]= fp1[-1]+fp2[0];
|
|
|
|
fp1++;
|
|
|
|
fp2++;
|
|
|
|
}
|
|
|
|
MEM_freeN(tempf);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
|
|
|
|
for(b=0; b<nu->pntsv; b++) {
|
|
|
|
|
|
|
|
bp1= nu->bp+b*nu->pntsu;
|
|
|
|
a= nu->pntsu;
|
|
|
|
bp2= bp1+(a-1);
|
|
|
|
a/= 2;
|
|
|
|
|
|
|
|
while(bp1!=bp2 && a>0) {
|
|
|
|
SWAP(BPoint, *bp1, *bp2);
|
|
|
|
a--;
|
|
|
|
bp1++;
|
|
|
|
bp2--;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|