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1 /*
2 * File: xfspline.cc
3 * Purpose:
4 * Author: Julian Smart
5 * Created: 1993
6 * Updated: August 1994
7 * RCS_ID: $Id$
8 * Copyright: (c) 1993, AIAI, University of Edinburgh
9 */
10
11 // Must be a comment as this file is #include\'d by wb_dc.cc
12 /* static const char sccsid[] = "@(#)xfspline.cc 1.3 5/9/94"; */
13
14 /*
15 * FIG : Facility for Interactive Generation of figures
16 * Copyright (c) 1985 by Supoj Sutanthavibul
17 */
18
19
20 #if USE_SPLINES
21
22 ////#define wx_round(a) (int)((a)+.5)
23 //#define wx_round(a) (a)
24
25 class wxSpline: public wxObject
26 {
27 public:
28 int type;
29 wxList *points;
30
31 wxSpline(wxList *list);
32 void DeletePoints(void);
33
34 // Doesn't delete points
35 ~wxSpline(void);
36 };
37
38 void wx_draw_open_spline(wxDC *dc, wxSpline *spline);
39
40 #if USE_POSTSCRIPT
41 void wx_draw_open_spline_ps(wxPostScriptDC *dc, wxSpline *s);
42 #endif
43
44 void wx_quadratic_spline(double a1, double b1, double a2, double b2,
45 double a3, double b3, double a4, double b4);
46 void wx_clear_stack(void);
47 int wx_spline_pop(double *x1, double *y1, double *x2, double *y2, double *x3,
48 double *y3, double *x4, double *y4);
49 void wx_spline_push(double x1, double y1, double x2, double y2, double x3, double y3,
50 double x4, double y4);
51 static bool wx_spline_add_point(double x, double y);
52 static void wx_spline_draw_point_array(wxDC *dc);
53 wxSpline *wx_make_spline(int x1, int y1, int x2, int y2, int x3, int y3);
54
55 void wxDC::DrawSpline(int n, wxPoint points[])
56 {
57 wxList list;
58 int i;
59 for (i =0; i < n; i++)
60 list.Append((wxObject*)&points[i]);
61 DrawSpline((wxList *)&list);
62 }
63
64 void wxDC::DrawSpline(wxList *list)
65 {
66 wxSpline spline(list);
67
68 wx_draw_open_spline(this, &spline);
69 }
70
71
72 wxList wx_spline_point_list;
73
74 void wx_draw_open_spline(wxDC *dc, wxSpline *spline)
75 {
76 wxPoint *p;
77 double cx1, cy1, cx2, cy2, cx3, cy3, cx4, cy4;
78 double x1, y1, x2, y2;
79
80 wxNode *node = spline->points->First();
81 p = (wxPoint *)node->Data();
82
83 x1 = p->x;
84 y1 = p->y;
85
86 node = node->Next();
87 p = (wxPoint *)node->Data();
88
89 x2 = p->x;
90 y2 = p->y;
91 cx1 = (double)((x1 + x2) / 2);
92 cy1 = (double)((y1 + y2) / 2);
93 cx2 = (double)((cx1 + x2) / 2);
94 cy2 = (double)((cy1 + y2) / 2);
95
96 wx_spline_add_point(x1, y1);
97
98 while ((node = node->Next()) != NULL)
99 {
100 p = (wxPoint *)node->Data();
101 x1 = x2;
102 y1 = y2;
103 x2 = p->x;
104 y2 = p->y;
105 cx4 = (double)(x1 + x2) / 2;
106 cy4 = (double)(y1 + y2) / 2;
107 cx3 = (double)(x1 + cx4) / 2;
108 cy3 = (double)(y1 + cy4) / 2;
109
110 wx_quadratic_spline(cx1, cy1, cx2, cy2, cx3, cy3, cx4, cy4);
111
112 cx1 = cx4;
113 cy1 = cy4;
114 cx2 = (double)(cx1 + x2) / 2;
115 cy2 = (double)(cy1 + y2) / 2;
116 }
117
118 wx_spline_add_point((double)wx_round(cx1), (double)wx_round(cy1));
119 wx_spline_add_point(x2, y2);
120
121 wx_spline_draw_point_array(dc);
122
123 }
124
125 #if USE_POSTSCRIPT
126 void wx_draw_open_spline_ps(wxPostScriptDC *dc, wxSpline *s)
127 {
128 double a, b, c, d, x1, y1, x2, y2, x3, y3;
129 wxPoint *p, *q;
130 wxNode *node = s->points->First();
131 p = (wxPoint *)node->Data();
132
133 x1 = p->x; y1 = p->y;
134
135 node = node->Next();
136 p = (wxPoint *)node->Data();
137 c = p->x; d = p->y;
138 x3 = a = (double)(x1 + c) / 2;
139 y3 = b = (double)(y1 + d) / 2;
140
141 *(dc->GetStream()) << "newpath " << x1 << " " << dc->GetYOrigin() - y1 << " moveto " << x3 << " " << dc->GetYOrigin() - y3;
142 *(dc->GetStream()) << " lineto\n";
143 dc->CalcBoundingBox((double)x1, (double)(dc->GetYOrigin() - y1));
144 dc->CalcBoundingBox((double)x3, (double)(dc->GetYOrigin() - y3));
145
146 while ((node = node->Next()) != NULL)
147 {
148 q = (wxPoint *)node->Data();
149
150 x1 = x3; y1 = y3;
151 x2 = c; y2 = d;
152 c = q->x; d = q->y;
153 x3 = (double)(x2 + c) / 2;
154 y3 = (double)(y2 + d) / 2;
155 *(dc->GetStream()) << x1 << " " << dc->GetYOrigin() - y1 << " " << x2 << " " << dc->GetYOrigin() - y2 << " ";
156 *(dc->GetStream()) << x3 << " " << dc->GetYOrigin() - y3 << " DrawSplineSection\n";
157
158 dc->CalcBoundingBox((double)x1, (double)(dc->GetYOrigin() - y1));
159 dc->CalcBoundingBox((double)x3, (double)(dc->GetYOrigin() - y3));
160 }
161 /*
162 * At this point, (x2,y2) and (c,d) are the position of the
163 * next-to-last and last point respectively, in the point list
164 */
165 *(dc->GetStream()) << c << " " << dc->GetYOrigin() - d << " lineto stroke\n";
166 }
167 #endif
168
169 /********************* CURVES FOR SPLINES *****************************
170
171 The following spline drawing routine is from
172
173 "An Algorithm for High-Speed Curve Generation"
174 by George Merrill Chaikin,
175 Computer Graphics and Image Processing, 3, Academic Press,
176 1974, 346-349.
177
178 and
179
180 "On Chaikin's Algorithm" by R. F. Riesenfeld,
181 Computer Graphics and Image Processing, 4, Academic Press,
182 1975, 304-310.
183
184 ***********************************************************************/
185
186 #define half(z1, z2) ((z1+z2)/2.0)
187 #define THRESHOLD 5
188
189 /* iterative version */
190
191 void wx_quadratic_spline(double a1, double b1, double a2, double b2, double a3, double b3, double a4,
192 double b4)
193 {
194 register double xmid, ymid;
195 double x1, y1, x2, y2, x3, y3, x4, y4;
196
197 wx_clear_stack();
198 wx_spline_push(a1, b1, a2, b2, a3, b3, a4, b4);
199
200 while (wx_spline_pop(&x1, &y1, &x2, &y2, &x3, &y3, &x4, &y4)) {
201 xmid = (double)half(x2, x3);
202 ymid = (double)half(y2, y3);
203 if (fabs(x1 - xmid) < THRESHOLD && fabs(y1 - ymid) < THRESHOLD &&
204 fabs(xmid - x4) < THRESHOLD && fabs(ymid - y4) < THRESHOLD) {
205 wx_spline_add_point((double)wx_round(x1), (double)wx_round(y1));
206 wx_spline_add_point((double)wx_round(xmid), (double)wx_round(ymid));
207 } else {
208 wx_spline_push(xmid, ymid, (double)half(xmid, x3), (double)half(ymid, y3),
209 (double)half(x3, x4), (double)half(y3, y4), x4, y4);
210 wx_spline_push(x1, y1, (double)half(x1, x2), (double)half(y1, y2),
211 (double)half(x2, xmid), (double)half(y2, ymid), xmid, ymid);
212 }
213 }
214 }
215
216
217 /* utilities used by spline drawing routines */
218
219
220 typedef struct wx_spline_stack_struct {
221 double x1, y1, x2, y2, x3, y3, x4, y4;
222 }
223 Stack;
224
225 #define SPLINE_STACK_DEPTH 20
226 static Stack wx_spline_stack[SPLINE_STACK_DEPTH];
227 static Stack *wx_stack_top;
228 static int wx_stack_count;
229
230 void wx_clear_stack(void)
231 {
232 wx_stack_top = wx_spline_stack;
233 wx_stack_count = 0;
234 }
235
236 void wx_spline_push(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4)
237 {
238 wx_stack_top->x1 = x1;
239 wx_stack_top->y1 = y1;
240 wx_stack_top->x2 = x2;
241 wx_stack_top->y2 = y2;
242 wx_stack_top->x3 = x3;
243 wx_stack_top->y3 = y3;
244 wx_stack_top->x4 = x4;
245 wx_stack_top->y4 = y4;
246 wx_stack_top++;
247 wx_stack_count++;
248 }
249
250 int wx_spline_pop(double *x1, double *y1, double *x2, double *y2,
251 double *x3, double *y3, double *x4, double *y4)
252 {
253 if (wx_stack_count == 0)
254 return (0);
255 wx_stack_top--;
256 wx_stack_count--;
257 *x1 = wx_stack_top->x1;
258 *y1 = wx_stack_top->y1;
259 *x2 = wx_stack_top->x2;
260 *y2 = wx_stack_top->y2;
261 *x3 = wx_stack_top->x3;
262 *y3 = wx_stack_top->y3;
263 *x4 = wx_stack_top->x4;
264 *y4 = wx_stack_top->y4;
265 return (1);
266 }
267
268 static bool wx_spline_add_point(double x, double y)
269 {
270 wxPoint *point = new wxPoint ;
271 point->x = (int) x;
272 point->y = (int) y;
273 wx_spline_point_list.Append((wxObject*)point);
274 return TRUE;
275 }
276
277 static void wx_spline_draw_point_array(wxDC *dc)
278 {
279 dc->DrawLines(&wx_spline_point_list, (double)0.0, (double)0.0);
280 wxNode *node = wx_spline_point_list.First();
281 while (node)
282 {
283 wxPoint *point = (wxPoint *)node->Data();
284 delete point;
285 delete node;
286 node = wx_spline_point_list.First();
287 }
288 }
289
290 wxSpline::wxSpline(wxList *list)
291 {
292 points = list;
293 }
294
295 wxSpline::~wxSpline(void)
296 {
297 }
298
299 void wxSpline::DeletePoints(void)
300 {
301 for(wxNode *node = points->First(); node; node = points->First())
302 {
303 wxPoint *point = (wxPoint *)node->Data();
304 delete point;
305 delete node;
306 }
307 delete points;
308 }
309
310 #if USE_POSTSCRIPT
311
312 // Make a 3-point spline
313 void wxPostScriptDC::DrawSpline(long x1, long y1, long x2, long y2, long x3, long y3)
314 {
315 wxList *point_list = new wxList;
316
317 wxPoint *point1 = new wxPoint;
318 point1->x = x1; point1->y = y1;
319 point_list->Append((wxObject*)point1);
320
321 wxPoint *point2 = new wxPoint;
322 point2->x = x2; point2->y = y2;
323 point_list->Append((wxObject*)point2);
324
325 wxPoint *point3 = new wxPoint;
326 point3->x = x3; point3->y = y3;
327 point_list->Append((wxObject*)point3);
328
329 wxSpline spline(point_list);
330
331 wx_draw_open_spline_ps(this, &spline);
332 spline.DeletePoints();
333 }
334
335 void wxPostScriptDC::DrawSpline(wxList *list)
336 {
337 wxSpline spline(list);
338
339 wx_draw_open_spline_ps(this, &spline);
340 }
341
342 void wxPostScriptDC::DrawSpline(int n, wxPoint points[])
343 {
344 wxList list;
345 int i;
346 for (i =0; i < n; i++)
347 list.Append((wxObject*)&points[i]);
348 DrawSpline((wxList *)&list);
349 }
350
351
352 #endif // USE_POSTSCRIPT
353
354 #endif // USE_SPLINES
355