這個程序應該是我在2004年寫的
當時還只是一個讀化工專業的大四學生
基本上對什么編程規范、什么算法，什么性能優化沒什么了解
只是簡單地用字符串模擬實現了
任意大整數的四則運算
現在看來當然很幼稚了
不過為保持原來面目，一直沒改，留做紀念。
供有需要的朋友參考
敬請指教
1
//long integer operation , inclue addition,substracttion,multiplicaton
2//and division
3#include <stdio.h>
4#include <conio.h>
5#include <ctype.h>
6#include <string.h>
7#define MAX 1000
8#define MARK ('0'-1)
9
10//The Prototypes of the functions
11char* Initialiaze(char [],int);
12int Read(char [],char [],char * );
13int Print(char [],char [],char [],char []);
14int Calculate(char[],char[],char[],char []);
15char* Addition(char[],char[]);
16char* Substraction(char[],char[]);
17char* Multiplication(char[],char[]);
18char* Division(char[],char[]);
19char Div_per_bit(char [],int , char []);
20int Sub_per_bit(char [],char [],int *);
21int Copy(char [],int ,char []);
22int Compare(char [],char []);
23int Data_Process(char []);
24int Value(char);
25int Check(char []);
26int Compare(char [],char []);
27int Judge(int);
28int Convert(char [],char [],int);
29
30//The main function,calling Read , Calculate and Print function
31int main(void)
32
{ char a[MAX],b[MAX],c[2*MAX],action[MAX],ch='\t';
33
while (ch!=EOF)
34
{
35 clrscr();
36 Read(a,b,action);
37 if (Calculate(a,b,c,action))
38 Print(a,b,c,action);
39 ch=getchar();
40
}
41 return 0;
42
}
43//The check function check if the input number is legal
44int Check(char s[])
45{ int i;
46 if (strlen(s)==0)
47 return 0;
48 if (strlen(s)>=MAX)
49 return 0;
50
51 for (i=0; s[i]; i++)
52 if (!isdigit(s[i]))
53 return 0;
54 return 1;
55}
56//The Iniatilize function ,initialize the result number before calculation
57char* Initialize(char s[],int length)
58{ int i;
59 for (i=0; i<length; i++)
60 s[i]=MARK;
61 return s;
62
63}
64//The Read function,Read the operands and the operation
65int Read(char a[],char b[],char action[])
66{
67 printf("************This Program calculats two long integer action!************\n");
68 printf("Input long integer A,max length is %d:\n",MAX);
69 gets(a);
70 while (!Check(a))
71 { printf("Input error , Please input a correct value :\n");
72 gets(a);
73 }
74 printf("Iuput the operation over a & b \n");
75 printf("addition is '+' ,substraction is '-',multiplication is '*',division is '/'\n");
76 printf(" Warning:\n");
77 printf("If you do the division,A must bigger than B ,and B must not equal to zero !\n");
78 gets(action);
79 while ((Compare(action,"+")!=0) && (Compare(action,"-")!=0) && (Compare(action,"*")!=0) && (Compare(action,"/")!=0))
80 { printf("Input error , Please input a correct action :\n");
81 gets(action);
82 }
83 printf("Input long integer b,max length is %d:\n",MAX);
84 gets(b);
85 while (!Check(b))
86 { printf("Input error , Please input a correct value :\n");
87 gets(b);
88 }
89 return 1;
90}
91//The Calculate function,calling Addition,Substraction,Multiplication or Division function in accordance with the action
92int Calculate(char a[],char b[],char c[],char action[])
93{
94 if (Compare(action,"+")==0)
95 { strcpy(c,Addition(a,b));
96 return 1;
97 }
98 if (Compare(action,"-")==0)
99 { if ((Substraction(a,b))!=NULL)
100 strcpy(c,Substraction(a,b));
101 else
102 { strcpy(c,"-");
103 strcat(c,Substraction(b,a));
104 }
105 return 1;
106 }
107 if (Compare(action,"*")==0)
108 { strcpy(c,Multiplication(a,b));
109 return 1;
110 }
111
112 if (Compare(action,"/")==0)
113 { if ((Division(a,b))!=NULL)
114 strcpy(c,Division(a,b));
115 else
116 { printf("Press Ctrl-Z to end, Press Enter to recalculate!\n");
117 return 0;
118 }
119 return 1;
120 }
121
122}
123//The Print function , print the result
124int Print(char a[],char b[],char c[],char action[])
125{ printf("The result of \n%s \n%s \n%s \nis :\n",a,action,b);
126 puts(c);
127 printf("Press Ctrl-Z to end , Press Enter to recalculate..\n");
128 return 1;
129}
130//The Addition function , add two operands and return the result
131char* Addition(char a[],char b[])
132{ char c[2*MAX],d[2*MAX];
133 int i,j,k,a_length,b_length;
134 Initialize(c,2*MAX);
135 a_length=strlen(a);
136 b_length=strlen(b);
137 for (i=a_length-1,j=b_length-1,k=2*MAX-1; ( i>=0 || j>=0 ) ; i--,j--,k--)
138 { if ( i>=0 && j>=0 )
139 c[k]=Value(a[i])+Value(b[j])+'0';
140 else
141 if (i>=0 && j<0 )
142 c[k]=Value(a[i])+'0';
143 else
144 if ( i<0 && j>=0 )
145 c[k]=Value(b[j])+'0';
146 }
147 Data_Process(c);
148 Convert(c,d,2*MAX);
149 return d;
150}
151//The Substraction function , substract one operand from another operand , and return the result
152char* Substraction(char a[],char b[])
153{ char c[2*MAX],d[2*MAX];
154 int i,j,k,a_length,b_length,sub_result,symbol,flag[2*MAX]={0};
155 Initialize(c,2*MAX);
156 a_length=strlen(a);
157 b_length=strlen(b);
158 if (strcmp(a,b)==0)
159 return ("0");
160 for (i=a_length-1,j=b_length-1,k=2*MAX-1; ( i>=0 || j>=0 ) ; i--,j--,k--)
161 { sub_result=a[i]-b[j];
162 symbol=Judge(sub_result);
163 if (i>=1 && j>=0)
164 { if (flag[k]==0)
165 { if (a[i]>=b[j])
166 c[k]=sub_result+'0';
167 else
168 { c[k]=sub_result+10+'0';
169 flag[k-1]=1;
170 }
171 }
172 else
173 { if (a[i]-b[j]>=1)
174 c[k]=sub_result-1+'0';
175 else
176 { c[k]=sub_result+9+'0';
177 flag[k-1]=1;
178 }
179 }
180 }
181 else
182 if (i==0 && j<0)
183 {
184 if (flag[k]==0)
185 c[k]=a[i];
186 else
187 { if (a[i]==1)
188 ;
189 else
190 c[k]=a[i]-1;
191 }
192 }
193 else
194 { if ((i==0) && (j==0))
195 { if (flag[k]==0)
196 { switch (symbol)
197 { case 0: ;
198 break;
199 case 1: c[k]=sub_result+'0';
200 break;
201 case -1: return NULL;
202 break;
203 }
204 }
205 else
206 { switch (Judge(sub_result-1))
207 { case 0: ;
208 break;
209 case 1: c[k]=sub_result-1+'0';
210 break;
211 case -1: return NULL;
212 break;
213 }
214 }
215 }
216 else
217 if ((i<0) && (j>=0))
218 return NULL;
219 else
220 if ((i>0) && (j<0))
221 { if (flag[k]==0)
222 c[k]=a[i];
223 else
224 { if (a[i]>'0')
225 c[k]=a[i]-1;
226 else
227 { c[k]='9';
228 flag[k-1]=1;
229 }
230 }
231 }
232 }
233 }
234 Convert(c,d,2*MAX);
235 return d;
236}
237//The Multiplication function,multipy two operands and return the result
238char* Multiplication(char a[],char b[])
239{ char c[2*MAX],d[2*MAX];
240 int i,j,k,p,a_length,b_length;
241 Initialize(c,2*MAX);
242 a_length=strlen(a);
243 b_length=strlen(b);
244 for (j=b_length-1; j>=0 ; j--)
245 { k=2*MAX-(b_length-j);
246 for (i=a_length-1,p=k; i>=0; i--,p--)
247 if (c[p]==MARK)
248 { c[p]=(Value(a[i]))*(Value(b[j]))%10+'0';
249 if (c[p-1]==MARK)
250 c[p-1]=(Value(a[i]))*(Value(b[j]))/10+'0';
251 else
252 c[p-1]+=(Value(a[i]))*(Value(b[j]))/10;
253 }
254 else
255 { c[p]+=(Value(a[i]))*(Value(b[j]))%10;
256 if (c[p-1]==MARK)
257 c[p-1]=(Value(a[i]))*(Value(b[j]))/10+'0';
258 else
259 c[p-1]+=(Value(a[i]))*(Value(b[j]))/10;
260 }
261 Data_Process(c);
262 }
263 Convert(c,d,2*MAX);
264 return d;
265
266}
267//The Division function,divise one operand from another operand, and return the result
268char* Division(char a[],char b[])
269{ char a1[MAX],c[MAX],d[MAX];
270 strcpy(a1,a);
271 int i,k,a_length=strlen(a1),b_length=strlen(b);
272 for (i=0; b[i]; i++)
273 if (b[i]!='0')
274 break;
275 if (i==strlen(b))
276
277 { printf("Error!\nIf you do division,the dividend must not equal to zero!\n");
278 return 0;
279 }
280 if (Compare(a,b)==-1)
281 { printf("Error!\nIf you do division, A must bigger than B!\n");
282 return 0;
283 }
284 for ( i=0,k=0; k<a_length-b_length+1; i++,k++)
285 c[k]=Div_per_bit(a1,b_length+i,b);
286 c[k]='\0';
287 Convert(c,d,MAX);
288 return d;
289
290}
291//The Div_per_bit function , calculate quotient per digit ,and return the result to Division function
292char Div_per_bit(char a[],int a_l,char b[])
293{ int i,j;
294 char c[MAX];
295 for (i=0,j=0; i<a_l; i++)
296 if ( a[i]!=MARK)
297 { c[j]=a[i];
298 j++;
299 }
300 c[j]='\0';
301 for (i=0; c[i]; i++)
302 if (c[i]!='0')
303 break;
304 if (i==strlen(c))
305 return '0';
306 if (Compare(c,b)<0)
307 return '0';
308 if (Compare(c,b)==0)
309 { for ( i=0; i<a_l; i++)
310 a[i]=MARK;
311 return '1';
312 }
313 i=0;
314 while (Compare(c,b)>=0)
315 Sub_per_bit(c,b,&i);
316 Copy(a,a_l,c);
317 return ('0'+i);
318
319}
320//The Sub_per_bit function, do the division by using substraction time after time
321int Sub_per_bit(char a[],char b[],int *count)
322{ char c[MAX],d[MAX];
323 int i,j,k,a_length,b_length,sub_result,symbol,flag[MAX]={0};
324 Initialize(c,MAX);
325 a_length=strlen(a);
326 b_length=strlen(b);
327 if (strcmp(a,b)==0)
328 strcpy(c,"0");
329 for (i=a_length-1,j=b_length-1,k=MAX-1; ( i>=0 || j>=0 ) ; i--,j--,k--)
330 { sub_result=a[i]-b[j];
331 symbol=Judge(sub_result);
332 if (i>=1 && j>=0)
333 { if (flag[k]==0)
334 { if (a[i]>=b[j])
335 c[k]=sub_result+'0';
336 else
337 { c[k]=sub_result+10+'0';
338 flag[k-1]=1;
339 }
340 }
341 else
342 { if (a[i]-b[j]>=1)
343 c[k]=sub_result-1+'0';
344 else
345 { c[k]=sub_result+9+'0';
346 flag[k-1]=1;
347 }
348 }
349 }
350 else
351 if (i==0 && j<0)
352 {
353 if (flag[k]==0)
354 c[k]=a[i];
355 else
356 { if (a[i]==1)
357 ;
358 else
359 c[k]=a[i]-1;
360 }
361 }
362 else
363 { if ((i==0) && (j==0))
364 { if (flag[k]==0)
365 { switch (symbol)
366 { case 0: ;
367 break;
368 case 1: c[k]=sub_result+'0';
369 break;
370 case -1: return 0;
371 break;
372 }
373 }
374 else
375 { switch (Judge(sub_result-1))
376 { case 0: ;
377 break;
378 case 1: c[k]=sub_result-1+'0';
379 break;
380 case -1: return 0;
381 break;
382 }
383 }
384 }
385 else
386 if ((i<0) && (j>=0))
387 { return 0;
388 }
389 else
390 if ((i>0) && (j<0))
391 { if (flag[k]==0)
392 c[k]=a[i];
393 else
394 { if (a[i]>'0')
395 c[k]=a[i]-1;
396 else
397 { c[k]='9';
398 flag[k-1]=1;
399 }
400 }
401 }
402 }
403 }
404 Convert(c,d,MAX);
405 strcpy(a,d);
406 (*count)++;
407 return 1;
408}
409//The Copy function , copy a number_string to another , wipe off the inutility symbol
410int Copy(char a[],int a_l,char c[])
411{ int i,j,c_l=strlen(c);
412 for (i=0; i<a_l-c_l; i++)
413 a[i]=MARK;
414 for (i,j=0; j<c_l; i++,j++)
415 a[i]=c[j];
416 return 1;
417}
418//The Compare function ,compare two numbers and return the result
419int Compare(char a[],char b[])
420{ char c[MAX];
421 if ((strlen(a))>(strlen(b)))
422 return 1;
423 if ((strlen(a))==(strlen(b)))
424 return (strcmp(a,b));
425 if ((strlen(a))<(strlen(b)))
426 return -1;
427}
428
429//The Value function , receiver a digit_char, and return the number
430int Value(char c)
431{ if (isdigit(c))
432 return (c-'0');
433 else return 0;
434}
435//The Data_Process function,
436int Data_Process(char s[])
437{ int p,head,tail=2*MAX-1;
438 for (head=0; s[head]==MARK ; head++)
439 ;
440 for (p=tail; p>=head ; p--)
441 if (!isdigit(s[p]))
442 if (s[p-1]!=MARK)
443 { s[p-1]+=(s[p]-'0')/10;
444 s[p]=(s[p]-'0')%10+'0';
445 }
446 else
447 { s[p-1]=(s[p]-'0')/10+'0';
448 s[p]=(s[p]-'0')%10+'0';
449 }
450 return 1;
451}
452//The Judeg function , judge the symbol of the number
453int Judge(int i)
454{ if (i==0)
455 return 0;
456 else
457 if (i>0)
458 return 1;
459 else
460 return -1;
461}
462//The Convert function , convert the original result to the final result ,wipe off the inuility symbol and number
463int Convert(char c[],char d[],int length)
464{ int i,j;
465 for (i=0; i<length; i++)
466 if (c[i]==MARK || c[i]=='0')
467 ;
468 else
469 break;
470 for (i,j=0; i<length; i++,j++)
471 d[j]=c[i];
472 d[j]='\0';
473 return 1;
474}
475
posted on 2005-12-04 22:33
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