vẽ đồ thị C#

Function.cs
VeDoThi /
project /

1 using System;
2 using System.Collections;
3
4 namespace EB.Math
5 {
6   public enum Type{Variable,Value,Operator,Function,Result,Bracket,Comma,Error}
7   public struct Symbol
8   {
9     public string m_name;
10     public double m_value;
11     public Type m_type;
12     public override string ToString()
13     {
14       return m_name;
15     }
16   }
17   public delegate Symbol EvaluateFunctionDelegate(string name, params Object[] args);
18     public class Function
19     {
20     public double Result
21     {
22       get
23       {
24         return m_result;
25       }
26     }
27
28     public ArrayList Equation
29     {
30       get
31       {
32         return (ArrayList)m_equation.Clone();
33       }
34     }
35     public ArrayList Postfix
36     {
37       get
38       {
39         return (ArrayList)m_postfix.Clone();
40       }
41     }
42     //Download source code tại Sharecode.vn
43     public EvaluateFunctionDelegate DefaultFunctionEvaluation
44     {
45       set
46       {
47         m_defaultFunctionEvaluation = value;
48       }
49     }
50
51     public bool Error
52     {
53       get
54       {
55         return m_bError;
56       }
57     }
58
59     public string ErrorDescription
60     {
61       get
62       {
63         return m_sErrorDescription;
64       }
65     }
66
67     public ArrayList Variables
68     {
69       get
70       {
71           ArrayList var = new ArrayList();
72           foreach(Symbol sym in m_equation)
73           {
74             if((sym.m_type == Type.Variable) && (!var.Contains(sym)))
75             var.Add(sym);
76           }
77           return var;
78       }
79       set
80       {
81       foreach(Symbol sym in value)
82       {
83         for(int i=0;i<m_postfix.Count;i++)
84         {
85           if((sym.m_name == ((Symbol)m_postfix[i]).m_name) && (((Symbol)m_postfix[i]).m_type == Type.Variable))
86           {
87             Symbol sym1 = (Symbol)m_postfix[i];
88             sym1.m_value = sym.m_value;
89             m_postfix[i] = sym1;
90           }
91         }
92       }
93       }
94     }
95
96     public Function()
97     {}
98
99     public void Parse(string equation)
100     {
101       int state = 1;
102       string temp = "";
103       Symbol ctSymbol;
104
105       m_bError = false;
106       m_sErrorDescription = "None";
107
108       m_equation.Clear();
109       m_postfix.Clear();
110
111       int nPos = 0;
112       //-- Remove all white spaces from the equation string --
113       equation = equation.Trim();
114       while((nPos=equation.IndexOf(' ')) != -1)
115         equation = equation.Remove(nPos,1);
116
117       for(int i=0;i<equation.Length;i++)
118       {
119         switch(state)
120         {
121           case 1:
122             if(Char.IsNumber(equation[i]))
123             {
124               state = 2;
125               temp += equation[i];
126             }
127             else if(Char.IsLetter(equation[i]))
128             {
129               state = 3;
130               temp += equation[i];
131             }
132             else
133             {
134               ctSymbol.m_name = equation[i].ToString();
135               ctSymbol.m_value = 0;
136               switch(ctSymbol.m_name)
137               {
138                 case ",":
139                   ctSymbol.m_type = Type.Comma;
140                   break;
141                 case "(":
142                 case ")":
143                 case "[":
144                 case "]":
145                 case "{":
146                 case "}":
147                   ctSymbol.m_type = Type.Bracket;
148                   break;
149                 default:
150                   ctSymbol.m_type = Type.Operator;
151                   break;
152               }
153               m_equation.Add(ctSymbol);
154             }
155             break;
156           case 2:
157             if((Char.IsNumber(equation[i])) || (equation[i] == '.'))
158               temp += equation[i];
159             else if(!Char.IsLetter(equation[i]))
160             {
161               state = 1;
162               ctSymbol.m_name = temp;
163               ctSymbol.m_value = Double.Parse(temp);
164               ctSymbol.m_type = Type.Value;
165               m_equation.Add(ctSymbol);
166               ctSymbol.m_name = equation[i].ToString();
167               ctSymbol.m_value = 0;
168               switch(ctSymbol.m_name)
169               {
170                 case ",":
171                   ctSymbol.m_type = Type.Comma;
172                   break;
173                 case "(":
174                 case ")":
175                 case "[":
176                 case "]":
177                 case "{":
178                 case "}":
179                   ctSymbol.m_type = Type.Bracket;
180                   break;
181                 default:
182                   ctSymbol.m_type = Type.Operator;
183                   break;
184               }
185               m_equation.Add(ctSymbol);
186               temp = "";
187             }
188             break;
189           case 3:
190             if(Char.IsLetterOrDigit(equation[i]))
191               temp += equation[i];
192             else
193             {
194               state = 1;
195               ctSymbol.m_name = temp;
196               ctSymbol.m_value = 0;
197               if(equation[i] == '(')
198                 ctSymbol.m_type = Type.Function;
199               else
200               {
201                 if(ctSymbol.m_name == "pi")
202                   ctSymbol.m_value = System.Math.PI;
203                 else if(ctSymbol.m_name == "e")
204                   ctSymbol.m_value = System.Math.E;
205                 ctSymbol.m_type = Type.Variable;
206               }
207               m_equation.Add(ctSymbol);
208               ctSymbol.m_name = equation[i].ToString();
209               ctSymbol.m_value = 0;
210               switch(ctSymbol.m_name)
211               {
212                 case ",":
213                   ctSymbol.m_type = Type.Comma;
214                   break;
215                 case "(":
216                 case ")":
217                 case "[":
218                 case "]":
219                 case "{":
220                 case "}":
221                   ctSymbol.m_type = Type.Bracket;
222                   break;
223                 default:
224                   ctSymbol.m_type = Type.Operator;
225                   break;
226               }
227               m_equation.Add(ctSymbol);
228               temp = "";
229             }
230             break;
231         }
232       }
233       if(temp != "")
234       {
235         ctSymbol.m_name = temp;
236         if(state == 2)
237         {
238           ctSymbol.m_value = Double.Parse(temp);
239             ctSymbol.m_type = Type.Value;
240         }
241         else
242         {
243           if(ctSymbol.m_name == "pi")
244             ctSymbol.m_value = System.Math.PI;
245           else if(ctSymbol.m_name == "e")
246             ctSymbol.m_value = System.Math.E;
247           else
248             ctSymbol.m_value = 0;
249           ctSymbol.m_type = Type.Variable;
250         }
251         m_equation.Add(ctSymbol);
252       }
253     }
254
255     public void Infix2Postfix()
256     {
257       Symbol tpSym;
258       Stack tpStack = new Stack();
259       foreach(Symbol sym in m_equation)
260       {
261         if((sym.m_type == Type.Value) || (sym.m_type == Type.Variable))
262           m_postfix.Add(sym);
263         else if((sym.m_name == "(") || (sym.m_name == "[") || (sym.m_name == "{"))
264           tpStack.Push(sym);
265         else if((sym.m_name == ")") || (sym.m_name == "]") || (sym.m_name == "}"))
266         {
267           if(tpStack.Count > 0)
268           {
269             tpSym = (Symbol)tpStack.Pop();
270             while((tpSym.m_name != "(") && (tpSym.m_name != "[") && (tpSym.m_name != "{"))
271             {
272               m_postfix.Add(tpSym);
273               tpSym = (Symbol)tpStack.Pop();
274             }
275           }
276         }
277         else
278         {
279           if(tpStack.Count > 0)
280           {
281             tpSym = (Symbol)tpStack.Pop();
282             while((tpStack.Count != 0) && ((tpSym.m_type == Type.Operator) || (tpSym.m_type == Type.Function) || (tpSym.m_type == Type.Comma)) && (Precedence(tpSym) >= Precedence(sym)))
283             {
284               m_postfix.Add(tpSym);
285               tpSym = (Symbol)tpStack.Pop();
286             }
287             if(((tpSym.m_type == Type.Operator) || (tpSym.m_type == Type.Function) || (tpSym.m_type == Type.Comma)) && (Precedence(tpSym) >= Precedence(sym)))
288               m_postfix.Add(tpSym);
289             else
290               tpStack.Push(tpSym);
291           }
292           tpStack.Push(sym);
293         }
294       }
295       while(tpStack.Count > 0)
296       {
297         tpSym = (Symbol)tpStack.Pop();
298         m_postfix.Add(tpSym);
299       }
300     }
301
302     public void EvaluatePostfix()
303     {
304       Symbol tpSym1, tpSym2, tpResult;
305       Stack tpStack = new Stack();
306       ArrayList fnParam = new ArrayList();
307       m_bError = false;
308       foreach(Symbol sym in m_postfix)
309       {
310         if((sym.m_type == Type.Value) || (sym.m_type == Type.Variable) || (sym.m_type == Type.Result))
311           tpStack.Push(sym);
312         else if(sym.m_type == Type.Operator)
313         {
314           tpSym1 = (Symbol)tpStack.Pop();
315           tpSym2 = (Symbol)tpStack.Pop();
316           tpResult = Evaluate(tpSym2, sym, tpSym1);
317           if(tpResult.m_type == Type.Error)
318           {
319             m_bError = true;
320             m_sErrorDescription = tpResult.m_name;
321             return;
322           }
323           tpStack.Push(tpResult);
324         }
325         else if(sym.m_type == Type.Function)
326         {
327           fnParam.Clear();
328           tpSym1 = (Symbol)tpStack.Pop();
329           if((tpSym1.m_type == Type.Value) || (tpSym1.m_type == Type.Variable) || (tpSym1.m_type == Type.Result))
330           {
331             tpResult = EvaluateFunction(sym.m_name,tpSym1);
332             if(tpResult.m_type == Type.Error)
333             {
334               m_bError = true;
335               m_sErrorDescription = tpResult.m_name;
336               return;
337             }
338             tpStack.Push(tpResult);
339           }
340           else if(tpSym1.m_type == Type.Comma)
341           {
342             while(tpSym1.m_type == Type.Comma)
343             {
344               tpSym1 = (Symbol)tpStack.Pop();
345               fnParam.Add(tpSym1);
346               tpSym1 = (Symbol)tpStack.Pop();
347             }
348             fnParam.Add(tpSym1);
349             tpResult = EvaluateFunction(sym.m_name,fnParam.ToArray());
350             if(tpResult.m_type == Type.Error)
351             {
352               m_bError = true;
353               m_sErrorDescription = tpResult.m_name;
354               return;
355             }
356             tpStack.Push(tpResult);
357           }
358           else
359           {
360             tpStack.Push(tpSym1);
361             tpResult = EvaluateFunction(sym.m_name);
362             if(tpResult.m_type == Type.Error)
363             {
364               m_bError = true;
365               m_sErrorDescription = tpResult.m_name;
366               return;
367             }
368             tpStack.Push(tpResult);
369           }
370         }
371       }
372       if(tpStack.Count == 1)
373       {
374         tpResult = (Symbol)tpStack.Pop();
375         m_result = tpResult.m_value;
376       }
377     }
378
379     protected int Precedence(Symbol sym)
380     {
381       switch(sym.m_type)
382       {
383         case Type.Bracket:
384           return 5;
385         case Type.Function:
386           return 4;
387         case Type.Comma:
388           return 0;
389       }
390       switch(sym.m_name)
391       {
392         case "^":
393           return 3;
394         case "/":
395         case "*":
396         case "%":
397           return 2;
398         case "+":
399         case "-":
400           return 1;
401       }
402       return -1;
403     }
404
405     protected Symbol Evaluate(Symbol sym1, Symbol opr, Symbol sym2)
406     {
407       Symbol result;
408       result.m_name = sym1.m_name + opr.m_name + sym2.m_name;
409       result.m_type = Type.Result;
410       result.m_value = 0;
411       switch(opr.m_name)
412       {
413         case "^":
414           result.m_value = System.Math.Pow(sym1.m_value,sym2.m_value);
415           break;
416         case "/":
417         {
418           //if(sym2.m_value > 0)
419             result.m_value = sym1.m_value / sym2.m_value;
420           //else
421           {
422           // result.m_name = "Divide by Zero.";
423           // result.m_type = Type.Error;
424           }
425           break;
426         }
427         case "*":
428           result.m_value = sym1.m_value * sym2.m_value;
429           break;
430         case "%":
431           result.m_value = sym1.m_value % sym2.m_value;
432           break;
433         case "+":
434           result.m_value = sym1.m_value + sym2.m_value;
435           break;
436         case "-":
437           result.m_value = sym1.m_value - sym2.m_value;
438           break;
439         default:
440           result.m_type = Type.Error;
441           result.m_name = "Không xác định được toán tử " + opr.m_name + ".";
442           break;
443       }
444       return result;
445     }
446
447     protected Symbol EvaluateFunction(string name, params Object[] args)
448     {
449       Symbol result;
450       result.m_name = "";
451       result.m_type = Type.Result;
452       result.m_value = 0;
453       switch(name)
454       {
455         case "cos":
456           if(args.Length == 1)
457           {
458             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
459             result.m_value = System.Math.Cos(((Symbol)args[0]).m_value);
460           }
461           else
462           {
463             result.m_name = "Tham số không đúng: "+ name +".";
464             result.m_type = Type.Error;
465           }
466           break;
467         case "sin":
468           if(args.Length == 1)
469           {
470             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
471             result.m_value = System.Math.Sin(((Symbol)args[0]).m_value);
472           }
473           else
474           {
475             result.m_name = "Tham số không đúng: "+ name +".";
476             result.m_type = Type.Error;
477           }
478           break;
479         case "tan":
480           if(args.Length == 1)
481           {
482             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
483             result.m_value = System.Math.Tan(((Symbol)args[0]).m_value);
484           }
485           else
486           {
487             result.m_name = "Tham số không đúng: "+ name +".";
488             result.m_type = Type.Error;
489           }
490           break;
491         case "cosh":
492           if(args.Length == 1)
493           {
494             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
495             result.m_value = System.Math.Cosh(((Symbol)args[0]).m_value);
496           }
497           else
498           {
499             result.m_name = "Tham số không đúng: "+ name +".";
500             result.m_type = Type.Error;
501           }
502           break;
503         case "sinh":
504           if(args.Length == 1)
505           {
506             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
507             result.m_value = System.Math.Sinh(((Symbol)args[0]).m_value);
508           }
509           else
510           {
511             result.m_name = "Tham số không đúng: "+ name +".";
512             result.m_type = Type.Error;
513           }
514           break;
515         case "tanh":
516           if(args.Length == 1)
517           {
518             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
519             result.m_value = System.Math.Tanh(((Symbol)args[0]).m_value);
520           }
521           else
522           {
523             result.m_name = "Tham số không đúng: "+ name +".";
524             result.m_type = Type.Error;
525           }
526           break;
527         case "log":
528           if(args.Length == 1)
529           {
530             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
531             result.m_value = System.Math.Log10(((Symbol)args[0]).m_value);
532           }
533           else
534           {
535             result.m_name = "Tham số không đúng: "+ name +".";
536             result.m_type = Type.Error;
537           }
538           break;
539         case "ln":
540           if(args.Length == 1)
541           {
542             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
543             result.m_value = System.Math.Log(((Symbol)args[0]).m_value,2);
544           }
545           else
546           {
547             result.m_name = "Tham số không đúng: "+ name +".";
548             result.m_type = Type.Error;
549           }
550           break;
551         case "logn":
552           if(args.Length == 2)
553           {
554             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + "'" + ((Symbol)args[1]).m_value.ToString() + ")";
555             result.m_value = System.Math.Log(((Symbol)args[0]).m_value,((Symbol)args[1]).m_value);
556           }
557           else
558           {
559             result.m_name = "Tham số không đúng: "+ name +".";
560             result.m_type = Type.Error;
561           }
562           break;
563         case "sqrt":
564           if(args.Length == 1)
565           {
566             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
567             result.m_value = System.Math.Sqrt(((Symbol)args[0]).m_value);
568           }
569           else
570           {
571             result.m_name = "Tham số không đúng: "+ name +".";
572             result.m_type = Type.Error;
573           }
574           break;
575         case "abs":
576           if(args.Length == 1)
577           {
578             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
579             result.m_value = System.Math.Abs(((Symbol)args[0]).m_value);
580           }
581           else
582           {
583             result.m_name = "Tham số không đúng: "+ name +".";
584             result.m_type = Type.Error;
585           }
586           break;
587         case "acos":
588           if(args.Length == 1)
589           {
590             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
591             result.m_value = System.Math.Acos(((Symbol)args[0]).m_value);
592           }
593           else
594           {
595             result.m_name = "Tham số không đúng: "+ name +".";
596             result.m_type = Type.Error;
597           }
598           break;
599         case "asin":
600           if(args.Length == 1)
601           {
602             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
603             result.m_value = System.Math.Asin(((Symbol)args[0]).m_value);
604           }
605           else
606           {
607             result.m_name = "Tham số không đúng: "+ name +".";
608             result.m_type = Type.Error;
609           }
610           break;
611         case "atan":
612           if(args.Length == 1)
613           {
614             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
615             result.m_value = System.Math.Atan(((Symbol)args[0]).m_value);
616           }
617           else
618           {
619             result.m_name = "Tham số không đúng: "+ name +".";
620             result.m_type = Type.Error;
621           }
622           break;
623         case "exp":
624           if(args.Length == 1)
625           {
626             result.m_name = name + "(" + ((Symbol)args[0]).m_value.ToString() + ")";
627             result.m_value = System.Math.Exp(((Symbol)args[0]).m_value);
628           }
629           else
630           {
631             result.m_name = "Tham số không đúng: "+ name +".";
632             result.m_type = Type.Error;
633           }
634           break;
635         default:
636           if(m_defaultFunctionEvaluation != null)
637             result = m_defaultFunctionEvaluation(name,args);
638           else
639           {
640             result.m_name = "Không tìm thấy hàm: "+ name +".";
641             result.m_type = Type.Error;
642           }
643           break;
644       }
645       return result;
646     }
647
648     protected bool m_bError = false;
649     protected string m_sErrorDescription = "None";
650     protected double m_result = 0;
651     protected ArrayList m_equation = new ArrayList();
652     protected ArrayList m_postfix = new ArrayList();
653     protected EvaluateFunctionDelegate m_defaultFunctionEvaluation;
654   }
655 }

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