[22] 计算几何图形包围盒与包围球的算法

计算几何图形包围盒的算法

  1 bool                        YfCalculateSurroundBoxSize
  2 (
  3     const YsGraphDesc&      graphDesc,
  4     YsVector&               vMin,
  5     YsVector&               vMax
  6 )
  7 {
  8     switch (graphDesc.graphType)
  9     {
 10     case YE_GRAPH_PLANE:
 11         {
 12             if (graphDesc.slices < 2 || graphDesc.stacks < 2)
 13             {
 14                 return false;
 15             }   
 16             vMin = YsVector(0.0f, graphDesc.height - 0.5f, 0.0f);
 17             vMax = YsVector(graphDesc.width, graphDesc.height + 0.5f, graphDesc.length);
 18             if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
 19             {
 20                 vMin.x -= graphDesc.width * 0.5f;
 21                 vMin.z -= graphDesc.length * 0.5f;
 22                 vMax.x -= graphDesc.width * 0.5f;
 23                 vMax.z -= graphDesc.length * 0.5f;
 24             }
 25         }
 26         break;
 27 
 28     case YE_GRAPH_BOX:
 29         {
 30             vMin = YsVector(0.0f, 0.0f, 0.0f);
 31             vMax = YsVector(graphDesc.extentX, graphDesc.extentY, graphDesc.extentZ);
 32 
 33             YsVector3 vOriginOffset = -vMax * 0.5f;
 34             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 35             {
 36                 vOriginOffset.y = -graphDesc.extentY;
 37             }
 38             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 39             {
 40                 vOriginOffset.y = 0.0f;
 41             }
 42             vMin += vOriginOffset;
 43             vMax += vOriginOffset;
 44         }
 45         break;
 46 
 47     case YE_GRAPH_SPHERE:
 48         {
 49             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 50             {
 51                 return false;
 52             }
 53             vMin = YsVector(-graphDesc.radius);
 54             vMax = YsVector(graphDesc.radius);
 55             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 56             {
 57                 vMin.y -= graphDesc.radius;
 58                 vMax.y -= graphDesc.radius;
 59             }
 60             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 61             {
 62                 vMin.y += graphDesc.radius;
 63                 vMax.y += graphDesc.radius;
 64             }
 65         }
 66         break;
 67 
 68     case YE_GRAPH_DRUM:
 69         {
 70             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 71             {
 72                 return false;
 73             }
 74             vMin = YsVector(-graphDesc.radius);
 75             vMax = YsVector(graphDesc.radius);
 76 
 77             vMin.x -= graphDesc.assistRadius;
 78             vMin.z -= graphDesc.assistRadius;
 79             vMax.x += graphDesc.assistRadius;
 80             vMax.z += graphDesc.assistRadius;
 81 
 82             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 83             {
 84                 vMin.y -= graphDesc.radius;
 85                 vMax.y -= graphDesc.radius;
 86             }
 87             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 88             {
 89                 vMin.y += graphDesc.radius;
 90                 vMax.y += graphDesc.radius;
 91             }
 92         }
 93         break;    
 94     
 95     case YE_GRAPH_HEMISPHERE:
 96         {
 97             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 98             {
 99                 return false;
100             }
101             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
102             vMax = YsVector(graphDesc.radius);
103             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
104             {
105                 vMin.y -= graphDesc.radius;
106                 vMax.y -= graphDesc.radius;
107             }
108             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
109             {
110                 vMin.y += graphDesc.radius;
111                 vMax.y += graphDesc.radius;
112             }
113         }
114         break;
115 
116     case YE_GRAPH_CONE:
117         {
118             if (graphDesc.slices < 2)
119             {
120                 return false;
121             }
122             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
123             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
124             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
125             {
126                 vMin.y -= graphDesc.height;
127                 vMax.y -= graphDesc.height;
128             }
129             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
130             {
131                 vMin.y -= graphDesc.height * 0.5f;
132                 vMax.y -= graphDesc.height * 0.5f;
133             }
134         }
135         break;
136 
137     case YE_GRAPH_CYLINDER:
138         { 
139             if (graphDesc.slices < 2)
140             {
141                 return false;
142             }
143 
144             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
145             vMin = YsVector(-radius, 0.0f, -radius);
146             vMax = YsVector(radius, graphDesc.height, radius);
147             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
148             {
149                 vMin.y -= graphDesc.height;
150                 vMax.y -= graphDesc.height;
151             }
152             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
153             {
154                 vMin.y -= graphDesc.height * 0.5f;
155                 vMax.y -= graphDesc.height * 0.5f;
156             }
157         }
158         break;
159 
160     case YE_GRAPH_CAPSULE:
161         {
162             Yuint halfStacks = graphDesc.stacks / 2;
163             if (graphDesc.slices < 2 || halfStacks < 2)
164             {
165                 return false;
166             }
167             vMin = YsVector(-graphDesc.radius, -graphDesc.radius - graphDesc.height*0.5f, -graphDesc.radius);
168             vMax = YsVector(graphDesc.radius,  graphDesc.radius  + graphDesc.height*0.5f, graphDesc.radius);
169             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
170             {
171                 vMin.y -= graphDesc.radius + graphDesc.height;
172                 vMax.y -= graphDesc.radius + graphDesc.height;
173             }
174             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
175             {
176                 vMin.y += graphDesc.radius + graphDesc.height;
177                 vMax.y += graphDesc.radius + graphDesc.height;
178             }
179         }
180         break;
181 
182     case YE_GRAPH_PYRAMID:
183         {
184             vMin = YsVector(0.0f, 0.0f, 0.0f);
185             vMax = YsVector(graphDesc.width, graphDesc.height, graphDesc.length);
186 
187             YsVector3 vOriginOffset(-graphDesc.width / 2, -graphDesc.height / 2, -graphDesc.length / 2);
188             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
189             {
190                 vOriginOffset.y = -graphDesc.height;
191             }
192             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
193             {
194                 vOriginOffset.y = 0.0f;
195             }
196             vMin += vOriginOffset;
197             vMax += vOriginOffset;
198         }
199         break;
200 
201     case YE_GRAPH_ROUND:
202         {
203             if (graphDesc.slices < 3)
204             {
205                 return false;
206             }
207             vMin = YsVector(-graphDesc.radius, graphDesc.height - 0.5f, -graphDesc.radius);
208             vMax = YsVector(graphDesc.radius,  graphDesc.height + 0.5f, graphDesc.radius);
209         }
210         break;
211 
212     case YE_GRAPH_RING:
213         {
214             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
215             {
216                 return false;
217             }
218 
219             Yreal halfHeight = graphDesc.height * 0.5f;
220             vMin = YsVector(-graphDesc.radius - graphDesc.assistRadius, 
221                             -halfHeight, 
222                             -graphDesc.radius - graphDesc.assistRadius);
223             vMax = YsVector(graphDesc.radius + graphDesc.assistRadius, 
224                             halfHeight, 
225                             graphDesc.radius + graphDesc.assistRadius);
226 
227             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
228             {
229                 vMin.y -= halfHeight;
230                 vMax.y -= halfHeight;
231             }
232             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
233             {
234                 vMin.y += halfHeight;
235                 vMax.y += halfHeight;
236             }
237         }
238         break;
239 
240     case YE_GRAPH_PIPE:
241         {
242             if (graphDesc.slices < 2)
243             {
244                 return false;
245             }
246             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
247             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
248             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
249             {
250                 vMin.y -= graphDesc.height;
251                 vMax.y -= graphDesc.height;
252             }
253             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
254             {
255                 vMin.y -= graphDesc.height * 0.5f;
256                 vMax.y -= graphDesc.height * 0.5f;
257             }
258         }
259         break;
260 
261     case YE_GRAPH_WEDGE:
262         {
263             vMin = YsVector(0.0f, 0.0f, 0.0f);
264             vMax = YsVector(graphDesc.width, graphDesc.height, graphDesc.length);
265 
266             YsVector3 vOriginOffset(-graphDesc.width / 2, -graphDesc.height / 2, -graphDesc.length / 2);
267             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
268             {
269                 vOriginOffset.y = -graphDesc.height;
270             }
271             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
272             {
273                 vOriginOffset.y = 0.0f;
274             }
275             vMin += vOriginOffset;
276             vMax += vOriginOffset;
277         }
278         break;
279 
280     case YE_GRAPH_FAN:
281         {
282             if (graphDesc.degree < 0 || graphDesc.degree > 360)
283             {
284                 return false;
285             }
286             if (graphDesc.slices < 2)
287             {
288                 return false;
289             }
290             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
291             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
292             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
293             {
294                 vMin.y -= graphDesc.height;
295                 vMax.y -= graphDesc.height;
296             }
297             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
298             {
299                 vMin.y -= graphDesc.height * 0.5f;
300                 vMax.y -= graphDesc.height * 0.5f;
301             }
302 
303             Yreal radian = YD_DEGREE_TO_RADIAN(graphDesc.degree);
304             if (graphDesc.degree < 90)
305             {
306                 vMin.x = 0.0f;
307                 vMax.x = graphDesc.radius * yf_sin(radian);
308                 vMin.z = 0.0f;
309             }
310             else if (graphDesc.degree < 180)
311             {
312                 vMin.x = 0.0f;
313                 vMin.z = graphDesc.radius * yf_cos(radian);
314             }
315             else if (graphDesc.degree < 270)
316             {
317                 vMin.x = graphDesc.radius * yf_sin(radian);
318             }
319         }
320         break;
321 
322     case YE_GRAPH_ARC:
323         {
324             if (graphDesc.degree < 0 || graphDesc.degree > 180)
325             {
326                 return false;
327             }
328             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
329             {
330                 return false;
331             }
332 
333             Yreal radian = YD_DEGREE_TO_RADIAN(graphDesc.degree);
334             Yreal radius;
335             if (graphDesc.degree > 90)
336             {
337                 radius = graphDesc.radius;
338             }
339             else
340             {
341                 radius = graphDesc.radius * yf_sin(radian);
342             }
343 
344             vMin = YsVector(-radius, -graphDesc.radius, -radius);
345             vMax = YsVector(radius,  graphDesc.radius,  radius);
346             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
347             {
348                 vMin.y -= graphDesc.radius;
349                 vMax.y -= graphDesc.radius;
350             }
351             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
352             {
353                 vMin.y += graphDesc.radius;
354                 vMax.y += graphDesc.radius;
355             }
356 
357             Yreal arcHeight = graphDesc.radius * (1 - yf_cos(radian));
358             vMin.y += graphDesc.radius * 2 - arcHeight;
359         }
360         break;
361 
362     case YE_GRAPH_GEARWHEEL:
363         {
364             if (graphDesc.slices < 3)
365             {
366                 return false;
367             }
368             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
369             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
370             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
371             {
372                 vMin.y -= graphDesc.height;
373                 vMax.y -= graphDesc.height;
374             }
375             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
376             {
377                 vMin.y -= graphDesc.height * 0.5f;
378                 vMax.y -= graphDesc.height * 0.5f;
379             }
380         }
381         break;
382 
383     case YE_GRAPH_STAR:
384         {
385             if (graphDesc.slices < 3)
386             {
387                 return false;
388             }
389             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
390             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
391             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
392             {
393                 vMin.y -= graphDesc.height;
394                 vMax.y -= graphDesc.height;
395             }
396             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
397             {
398                 vMin.y -= graphDesc.height * 0.5f;
399                 vMax.y -= graphDesc.height * 0.5f;
400             }
401         }
402         break;
403 
404     case YE_GRAPH_SPIRE:
405         {
406             if (graphDesc.stacks < 1 || graphDesc.slices < 3)
407             {
408                 return false;
409             }
410 
411             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
412             vMin = YsVector(-radius, 0.0f, -radius);
413             vMax = YsVector(radius, graphDesc.height, radius);
414             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
415             {
416                 vMin.y -= graphDesc.height;
417                 vMax.y -= graphDesc.height;
418             }
419             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
420             {
421                 vMin.y -= graphDesc.height * 0.5f;
422                 vMax.y -= graphDesc.height * 0.5f;
423             }
424         }
425         break;
426 
427     case YE_GRAPH_STAIRS:
428         {
429             if (graphDesc.stacks < 1)
430             {
431                 return false;
432             }
433             vMin = YsVector(0.0f, 0.0f, 0.0f);
434             vMax = YsVector(graphDesc.extentX, graphDesc.extentY, graphDesc.extentZ);
435 
436             YsVector3 vOriginOffset = -vMax * 0.5f;
437             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
438             {
439                 vOriginOffset.y = -graphDesc.extentY;
440             }
441             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
442             {
443                 vOriginOffset.y = 0.0f;
444             }
445             vMin += vOriginOffset;
446             vMax += vOriginOffset;
447         }
448         break;
449 
450     case YE_GRAPH_SPIRAL_STAIRS:
451         {
452             if (graphDesc.stacks < 1 || graphDesc.slices < 3)
453             {
454                 return false;
455             }
456 
457             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
458             vMin = YsVector(-radius, 0.0f, -radius);
459             vMax = YsVector(radius, graphDesc.height, radius);
460             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
461             {
462                 vMin.y -= graphDesc.height;
463                 vMax.y -= graphDesc.height;
464             }
465             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
466             {
467                 vMin.y -= graphDesc.height * 0.5f;
468                 vMax.y -= graphDesc.height * 0.5f;
469             }
470         }
471         break;
472 
473     default:
474         {
475             return false;
476         }
477         break;
478     }
479 
480     return true;
481 }

计算几何图形包围球的算法

  1 // 计算一个规则图形的包围球大小
  2 bool                        YfCalculateSurroundSphereSize
  3 (
  4     const YsGraphDesc&      graphDesc,
  5     OUT YsVector&           vCenter,
  6     OUT Yreal&              fRadius
  7 )
  8 {
  9     switch (graphDesc.graphType)
 10     {
 11     case YE_GRAPH_PLANE:
 12         {
 13             if (graphDesc.slices < 2 || graphDesc.stacks < 2)
 14             {
 15                 return false;
 16             }   
 17 
 18             fRadius = yf_sqrt(graphDesc.width * graphDesc.width + 
 19                 graphDesc.length * graphDesc.length) / 2;
 20 
 21             if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
 22             {
 23                 vCenter = YsVector(0.0f, graphDesc.height, 0.0f);
 24             }
 25             else
 26             {
 27                 vCenter = YsVector(graphDesc.width / 2, graphDesc.height, graphDesc.length / 2);
 28             }
 29         }
 30         break;
 31 
 32     case YE_GRAPH_BOX:
 33         {
 34             fRadius = yf_sqrt(graphDesc.extentX * graphDesc.extentX + 
 35                 graphDesc.extentY * graphDesc.extentY + 
 36                 graphDesc.extentZ * graphDesc.extentZ ) / 2;
 37 
 38             vCenter = YsVector(0.0f, 0.0f, 0.0f);
 39             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 40             {
 41                 vCenter.y = -graphDesc.extentY / 2;
 42             }
 43             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 44             {
 45                 vCenter.y = graphDesc.extentY / 2;
 46             }
 47         }
 48         break;
 49 
 50     case YE_GRAPH_SPHERE:
 51         {
 52             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 53             {
 54                 return false;
 55             }
 56             fRadius = graphDesc.radius;
 57 
 58             vCenter = YsVector(0.0f, 0.0f, 0.0f);
 59             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 60             {
 61                 vCenter.y -= graphDesc.radius;
 62             }
 63             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 64             {
 65                 vCenter.y += graphDesc.radius;
 66             }
 67         }
 68         break;
 69 
 70     case YE_GRAPH_HEMISPHERE:
 71         {
 72             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 73             {
 74                 return false;
 75             }
 76             fRadius = graphDesc.radius;
 77 
 78             vCenter = YsVector(0.0f, 0.0f, 0.0f);
 79             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
 80             {
 81                 vCenter.y -= graphDesc.radius;
 82             }
 83             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
 84             {
 85                 vCenter.y += graphDesc.radius;
 86             }
 87         }
 88         break;
 89 
 90     case YE_GRAPH_DRUM:
 91         {
 92             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
 93             {
 94                 return false;
 95             }
 96             fRadius = graphDesc.radius + graphDesc.assistRadius;
 97 
 98             vCenter = YsVector(0.0f, 0.0f, 0.0f);
 99             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
100             {
101                 vCenter.y -= graphDesc.radius;
102             }
103             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
104             {
105                 vCenter.y += graphDesc.radius;
106             }
107         }
108         break;
109 
110     case YE_GRAPH_CONE:
111         {
112             if (graphDesc.slices < 2)
113             {
114                 return false;
115             }
116 
117             if (graphDesc.height < graphDesc.radius)
118             {
119                 fRadius = graphDesc.radius;
120                 vCenter = YsVector(0.0f, 0.0f, 0.0f);
121             }
122             else
123             {
124                 Yreal h = (graphDesc.height*graphDesc.height - graphDesc.radius*graphDesc.radius) / 
125                     2 / graphDesc.height;
126                 fRadius = graphDesc.height - h;
127                 vCenter = YsVector(0.0f, h, 0.0f);
128             }
129 
130             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
131             {
132                 vCenter.y -= graphDesc.height;
133             }
134             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
135             {
136                 vCenter.y -= graphDesc.height * 0.5f;
137             }
138         }
139         break;
140 
141     case YE_GRAPH_CYLINDER:
142         { 
143             if (graphDesc.slices < 2)
144             {
145                 return false;
146             }
147 
148             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
149 
150             fRadius = yf_sqrt(radius*radius + graphDesc.height*graphDesc.height/4);
151 
152             vCenter = YsVector(0.0f, 0.0f, 0.0f);
153             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
154             {
155                 vCenter.y -= graphDesc.height / 2;
156             }
157             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
158             {
159                 vCenter.y += graphDesc.height / 2;
160             }
161         }
162         break;
163 
164     case YE_GRAPH_CAPSULE:
165         {
166             Yuint halfStacks = graphDesc.stacks / 2;
167             if (graphDesc.slices < 2 || halfStacks < 2)
168             {
169                 return false;
170             }
171 
172             fRadius = graphDesc.radius + graphDesc.height/2;
173 
174             vCenter = YsVector(0.0f, 0.0f, 0.0f);
175             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
176             {
177                 vCenter.y -= fRadius;
178             }
179             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
180             {
181                 vCenter.y += fRadius;
182             }
183         }
184         break;
185 
186     case YE_GRAPH_PYRAMID:
187         {
188             Yreal radius = yf_sqrt(graphDesc.width*graphDesc.width + graphDesc.length*graphDesc.length) / 2;
189             if (graphDesc.height < radius)
190             {
191                 fRadius = radius;
192                 vCenter = YsVector(0.0f, 0.0f, 0.0f);
193             }
194             else
195             {
196                 Yreal h = (graphDesc.height*graphDesc.height - radius*radius) / 
197                     2 / graphDesc.height;
198                 fRadius = graphDesc.height - h;
199                 vCenter = YsVector(0.0f, h, 0.0f);
200             }
201 
202             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
203             {
204                 vCenter.y -= graphDesc.height;
205             }
206             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
207             {
208                 vCenter.y -= graphDesc.height * 0.5f;
209             }
210         }
211         break;
212 
213     case YE_GRAPH_ROUND:
214         {
215             if (graphDesc.slices < 3)
216             {
217                 return false;
218             }
219             fRadius = graphDesc.radius;
220             vCenter = YsVector(0, graphDesc.height, 0);
221         }
222         break;
223 
224     case YE_GRAPH_RING:
225         {
226             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
227             {
228                 return false;
229             }
230 
231             fRadius = graphDesc.radius + graphDesc.assistRadius;
232 
233             vCenter = YsVector(0.0f, 0.0f, 0.0f);
234             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
235             {
236                 vCenter.y -= graphDesc.height / 2;
237             }
238             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
239             {
240                 vCenter.y += graphDesc.height / 2;
241             }
242         }
243         break;
244 
245     case YE_GRAPH_PIPE:
246         {
247             if (graphDesc.slices < 2)
248             {
249                 return false;
250             }
251 
252             fRadius = yf_sqrt(graphDesc.radius*graphDesc.radius + graphDesc.height*graphDesc.height/4);
253 
254             vCenter = YsVector(0.0f, 0.0f, 0.0f);
255             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
256             {
257                 vCenter.y -= graphDesc.height / 2;
258             }
259             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
260             {
261                 vCenter.y += graphDesc.height / 2;
262             }
263         }
264         break;
265 
266     case YE_GRAPH_GEARWHEEL:
267         {
268             if (graphDesc.slices < 3)
269             {
270                 return false;
271             }
272             fRadius = yf_sqrt(graphDesc.radius*graphDesc.radius + graphDesc.height*graphDesc.height/4);
273 
274             vCenter = YsVector(0.0f, 0.0f, 0.0f);
275             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
276             {
277                 vCenter.y -= graphDesc.height / 2;
278             }
279             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
280             {
281                 vCenter.y += graphDesc.height / 2;
282             }
283         }
284         break;
285 
286     case YE_GRAPH_STAR:
287         {
288             if (graphDesc.slices < 3)
289             {
290                 return false;
291             }
292 
293             if (graphDesc.height < graphDesc.radius)
294             {
295                 fRadius = graphDesc.radius;
296                 vCenter = YsVector(0.0f, 0.0f, 0.0f);
297             }
298             else
299             {
300                 Yreal h = (graphDesc.height*graphDesc.height - graphDesc.radius*graphDesc.radius) / 
301                     2 / graphDesc.height;
302                 fRadius = graphDesc.height - h;
303                 vCenter = YsVector(0.0f, h, 0.0f);
304             }
305 
306             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
307             {
308                 vCenter.y -= graphDesc.height;
309             }
310             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
311             {
312                 vCenter.y -= graphDesc.height * 0.5f;
313             }
314         }
315         break;
316 
317     case YE_GRAPH_SPIRE:
318         {
319             if (graphDesc.stacks < 1 || graphDesc.slices < 3)
320             {
321                 return false;
322             }
323 
324             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
325 
326             fRadius = yf_sqrt(radius*radius + graphDesc.height*graphDesc.height/4);
327 
328             vCenter = YsVector(0.0f, 0.0f, 0.0f);
329             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
330             {
331                 vCenter.y -= graphDesc.height / 2;
332             }
333             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
334             {
335                 vCenter.y += graphDesc.height / 2;
336             }
337         }
338         break;
339 
340     case YE_GRAPH_STAIRS:
341         {
342             if (graphDesc.stacks < 1)
343             {
344                 return false;
345             }
346 
347             fRadius = yf_sqrt(graphDesc.extentX * graphDesc.extentX + 
348                 graphDesc.extentY * graphDesc.extentY + 
349                 graphDesc.extentZ * graphDesc.extentZ ) / 2;
350 
351             vCenter = YsVector(0.0f, 0.0f, 0.0f);
352             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
353             {
354                 vCenter.y = -graphDesc.extentY / 2;
355             }
356             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
357             {
358                 vCenter.y = graphDesc.extentY / 2;
359             }
360         }
361         break;
362 
363     case YE_GRAPH_SPIRAL_STAIRS:
364         {
365             if (graphDesc.stacks < 1 || graphDesc.slices < 3)
366             {
367                 return false;
368             }
369 
370             Yreal radius = (graphDesc.radius > graphDesc.assistRadius) ? graphDesc.radius : graphDesc.assistRadius;
371 
372             fRadius = yf_sqrt(radius*radius + graphDesc.height*graphDesc.height/4);
373 
374             vCenter = YsVector(0.0f, 0.0f, 0.0f);
375             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
376             {
377                 vCenter.y -= graphDesc.height / 2;
378             }
379             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
380             {
381                 vCenter.y += graphDesc.height / 2;
382             }
383         }
384         break;
385 
386     case YE_GRAPH_WEDGE:
387         {
388             fRadius = yf_sqrt(graphDesc.extentX * graphDesc.extentX + 
389                 graphDesc.extentY * graphDesc.extentY + 
390                 graphDesc.extentZ * graphDesc.extentZ ) / 2;
391 
392             vCenter = YsVector(0.0f, 0.0f, 0.0f);
393             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
394             {
395                 vCenter.y = -graphDesc.extentY / 2;
396             }
397             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
398             {
399                 vCenter.y = graphDesc.extentY / 2;
400             }
401         }
402         break;
403 
404     case YE_GRAPH_FAN:
405         {
406             if (graphDesc.degree < 0 || graphDesc.degree > 360)
407             {
408                 return false;
409             }
410             if (graphDesc.slices < 2)
411             {
412                 return false;
413             }
414             YsVector vMin, vMax;
415             vMin = YsVector(-graphDesc.radius, 0.0f, -graphDesc.radius);
416             vMax = YsVector(graphDesc.radius, graphDesc.height, graphDesc.radius);
417             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
418             {
419                 vMin.y -= graphDesc.height;
420                 vMax.y -= graphDesc.height;
421             }
422             else if (graphDesc.originPose == YE_ORIGIN_POSE_CENTER)
423             {
424                 vMin.y -= graphDesc.height * 0.5f;
425                 vMax.y -= graphDesc.height * 0.5f;
426             }
427 
428             Yreal radian = YD_DEGREE_TO_RADIAN(graphDesc.degree);
429             if (graphDesc.degree < 90)
430             {
431                 vMin.x = 0.0f;
432                 vMax.x = graphDesc.radius * yf_sin(radian);
433                 vMin.z = 0.0f;
434             }
435             else if (graphDesc.degree < 180)
436             {
437                 vMin.x = 0.0f;
438                 vMin.z = graphDesc.radius * yf_cos(radian);
439             }
440             else if (graphDesc.degree < 270)
441             {
442                 vMin.x = graphDesc.radius * yf_sin(radian);
443             }
444             vCenter = (vMax + vMin) / 2;
445             YsVector vDis = vMax - vMin;
446             fRadius = vDis.Magnitude() / 2;
447         }
448         break;
449 
450     case YE_GRAPH_ARC:
451         {
452             if (graphDesc.degree < 0 || graphDesc.degree > 180)
453             {
454                 return false;
455             }
456             if (graphDesc.slices < 2 || graphDesc.stacks < 3)
457             {
458                 return false;
459             }
460 
461             Yreal radian = YD_DEGREE_TO_RADIAN(graphDesc.degree);
462 
463             if (graphDesc.degree > 90)
464             {
465                 fRadius = graphDesc.radius;
466                 vCenter = YsVector(0.0f, 0.0f, 0.0f);
467             }
468             else
469             {
470                 fRadius = graphDesc.radius * yf_sin(radian);
471                 vCenter = YsVector(0.0f, graphDesc.radius * yf_cos(radian), 0.0f);
472             }
473 
474             if (graphDesc.originPose == YE_ORIGIN_POSE_TOP)
475             {
476                 vCenter.y -= graphDesc.radius;
477             }
478             else if (graphDesc.originPose == YE_ORIGIN_POSE_BOTTOM)
479             {
480                 vCenter.y += graphDesc.radius;
481             }
482         }
483         break;
484 
485     default:
486         {
487             return false;
488         }
489         break;
490     }
491 
492     return true;
493 }