四则运算3

  1 //李俏，张莹荧，2016.3.15
  2 //随机生成四则运算3
  3 
  4 #include<iostream>
  5 #include<stdio.h>
  6 #include<stdlib.h>
  7 #include<time.h>
  8 using namespace std;
  9 
 10 class Fenshu
 11 {
 12 private:
 13     int fenzi;  // 分子  
 14     int fenmu;  // 分母 
 15 public:
 16     Fenshu(int fz = 0, int fm = 1) :fenzi(fz), fenmu(fm){}
 17     void set(int, int);
 18     void simplify();
 19     friend bool judge1(const Fenshu &c1, const Fenshu &c2);     //判断两个分数是否相等
 20     friend bool judge2(const Fenshu &c1, int z);     //判断两个分数是否相等
 21     friend Fenshu add(const Fenshu &c1, const Fenshu &c2);  //两个分数相加，结果要化简  
 22     friend Fenshu sub(const Fenshu &c1, const Fenshu &c2);  //两个分数相减，结果要化简  
 23     friend Fenshu mul(const Fenshu &c1, const Fenshu &c2);  //两个分数相乘，结果要化简  
 24     friend Fenshu div(const Fenshu &c1, const Fenshu &c2);  //两个分数相除，结果要化简 
 25 };
 26 
 27 void Fenshu::set(int m, int n)// 分数赋值
 28 {
 29     fenzi = m;
 30     fenmu = n;
 31 }
 32 
 33 void Fenshu::simplify()// 分数化简
 34 {
 35     int m, n, r;
 36     m = abs(fenmu);
 37     n = abs(fenzi);
 38     while (r = m%n)  // 求m，n的最大公约数  
 39     {
 40         m = n;
 41         n = r;
 42     }
 43     fenmu /= n;     // 化简  
 44     fenzi /= n;
 45     if (fenmu<0)  // 将分母转化为正数  
 46     {
 47         fenmu = -fenmu;
 48         fenzi = -fenzi;
 49     }
 50 }
 51 
 52 Fenshu add(const Fenshu &c1, const Fenshu &c2)// 分数相加  
 53 {
 54     Fenshu t;
 55     t.fenzi = c1.fenzi*c2.fenmu + c2.fenzi*c1.fenmu;
 56     t.fenmu = c1.fenmu*c2.fenmu;
 57     t.simplify();
 58     return t;
 59 }
 60 
 61 Fenshu sub(const Fenshu &c1, const Fenshu &c2)// 分数相减 
 62 {
 63     Fenshu t;
 64     t.fenzi = c1.fenzi*c2.fenmu - c2.fenzi*c1.fenmu;
 65     t.fenmu = c1.fenmu*c2.fenmu;
 66     t.simplify();
 67     return t;
 68 }
 69 
 70 Fenshu mul(const Fenshu &c1, const Fenshu &c2)// 分数相乘
 71 {
 72     Fenshu t;
 73     t.fenzi = c1.fenzi*c2.fenzi;
 74     t.fenmu = c1.fenmu*c2.fenmu;
 75     t.simplify();
 76     return t;
 77 }
 78 
 79 Fenshu div(const Fenshu &c1, const Fenshu &c2)// 分数相除 
 80 {
 81     Fenshu t;
 82     if (!c2.fenzi) return c1;
 83     t.fenzi = c1.fenzi*c2.fenmu;
 84     t.fenmu = c1.fenmu*c2.fenzi;
 85     t.simplify();
 86     return t;
 87 }
 88 
 89 bool judge1(const Fenshu &c1, const Fenshu &c2)//判断正误
 90 {
 91     bool flag;
 92     if ((c1.fenzi == c2.fenzi) && (c1.fenmu == c2.fenmu))
 93     {
 94         flag = true;
 95         return flag;
 96     }
 97     else
 98     {
 99         flag = false;
100         return flag;
101     }
102 }
103 
104 bool judge2(const Fenshu &c1, int z)//判断正误
105 {
106     bool flag;
107     if (0 == c1.fenzi - z)
108     {
109         flag = true;
110         return flag;
111     }
112     else
113     {
114         flag = false;
115         return flag;
116     }
117 }
118 
119 void main()
120 {
121     int first, second, firstm, secondm;
122     int sign, i, j;
123     int num, chengchu, fushu, yushu, fanwei;
124     int ans, ansm, ansy;
125     int right = 0, wrong = 0;
126     Fenshu x1, x2, x, y;
127 
128     cout << "请输入题目数量：";
129     cin >> num;
130     if (num == 0)
131     {
132         exit(1);
133     }
134 
135     cout << "是否有乘除法？1.是，2.否：";
136     cin >> chengchu;
137 
138     if (chengchu == 1)
139     {
140         cout << "除法是否有余数？1.是，2.否：";
141         cin >> yushu;
142     }
143 
144     cout << "减法是否有负数？1.是，2.否：";
145     cin >> fushu;
146 
147     cout << "请输入数值范围：";
148     cin >> fanwei;
149 
150     srand((int)time(NULL)); //用时间做种子，每次产生随机数都不一样
151 
152     for (i = 0; i<num; i++)
153     {
154         j = rand() % 2;        //选择生成整数运算还是分数运算
155 
156         if (j == 0)           //选择整数
157         {
158             first = rand() % (fanwei + 1);
159             second = rand() % (fanwei + 1);
160             if (chengchu == 1)
161             {
162                 sign = rand() % 4;
163             }
164             else
165             {
166                 sign = rand() % 2;
167             }
168             switch (sign)
169             {
170             case 0:                      //整数加法
171                 cout << first << "+" << second << "=" << endl;
172                 cout << "请输入结果：";
173                 cin >> ans;
174                 if (ans == first + second)
175                 {
176                     cout << "答对了！" << endl;
177                     right = right + 1;
178                 }
179                 else
180                 {
181                     cout << "答错了！" << endl;
182                     wrong = wrong + 1;
183                 }
184                 break;
185             case 1:                      //整数减法
186                 if (fushu == 1)
187                 {
188                     cout << first << "-" << second << "=" << endl;
189                     cout << "请输入结果：";
190                     cin >> ans;
191                     if (ans == first - second)
192                     {
193                         cout << "答对了！" << endl;
194                         right = right + 1;
195                     }
196                     else
197                     {
198                         cout << "答错了！" << endl;
199                         wrong = wrong + 1;
200                     }
201                 }
202                 else
203                 {
204                     if (first>second)
205                     {
206                         cout << first << "-" << second << "=" << endl;
207                         cout << "请输入结果：";
208                         cin >> ans;
209                         if (ans == first - second)
210                         {
211                             cout << "答对了！" << endl;
212                             right = right + 1;
213                         }
214                         else
215                         {
216                             cout << "答错了！" << endl;
217                             wrong = wrong + 1;
218                         }
219                     }
220                     else
221                     {
222                         cout << second << "-" << first << "=" << endl;
223                         cout << "请输入结果：";
224                         cin >> ans;
225                         if (ans == second - first)
226                         {
227                             cout << "答对了！" << endl;
228                             right = right + 1;
229                         }
230                         else
231                         {
232                             cout << "答错了！" << endl;
233                             wrong = wrong + 1;
234                         }
235                     }
236                 }
237                 break;
238             case 2:                   //整数乘法
239                 cout << first << "*" << second << "=" << endl;
240                 cout << "请输入结果：";
241                 cin >> ans;
242                 if (ans == first * second)
243                 {
244                     cout << "答对了！" << endl;
245                     right = right + 1;
246                 }
247                 else
248                 {
249                     cout << "答错了！" << endl;
250                     wrong = wrong + 1;
251                 }
252                 break;
253             case 3:                   //整数除法
254                 if (yushu == 1)
255                 {
256                     if (second != 0)
257                     {
258                         cout << first << "/" << second << "=" << endl;
259                         cout << "请输入结果(商和余数)：";
260                         cin >> ans >> ansy;
261                         if ((ans == (first / second)) && (ansy == (first%second)))
262                         {
263                             cout << "答对了！" << endl;
264                             right = right + 1;
265                         }
266                         else
267                         {
268                             cout << "答错了！" << endl;
269                             wrong = wrong + 1;
270                         }
271                     }
272                     else
273                     {
274                         i = i - 1;
275                     }
276                 }
277                 else
278                 {
279                     if (second != 0 && (first%second == 0))
280                     {
281                         cout << first << "/" << second << "=" << endl;
282                         cout << "请输入结果：";
283                         cin >> ans;
284                         if (ans == first / second)
285                         {
286                             cout << "答对了！" << endl;
287                             right = right + 1;
288                         }
289                         else
290                         {
291                             cout << "答错了！" << endl;
292                             wrong = wrong + 1;
293                         }
294                     }
295                     else
296                     {
297                         i = i - 1;
298                     }
299                 }
300                 break;
301             }
302         }
303 
304         else              //选择分数
305         {
306             first = rand() % (fanwei + 1);
307             second = rand() % (fanwei + 1);//分子
308             firstm = rand() % (fanwei + 1);
309             secondm = rand() % (fanwei + 1);//分母
310             if (chengchu == 1)
311             {
312                 sign = rand() % 4;
313             }
314             else
315             {
316                 sign = rand() % 2;
317             }
318 
319             switch (sign)
320             {
321             case 0:                //分数加法
322                 if ((firstm != 0) && (secondm != 0) && (first<firstm) && (second<secondm))
323                 {
324                     cout << first << "/" << firstm << "  +  " << second << "/" << secondm << "=" << endl;
325                     cout << "请输入结果（分子和分母）：";
326                     cin >> ans >> ansm;
327                     x.set(ans, ansm);
328                     x1.set(first, firstm);
329                     x2.set(second, secondm);
330                     y = add(x1, x2);
331                     if (true == judge1(x, y))
332                     {
333                         cout << "答对了！" << endl;
334                         right = right + 1;
335                     }
336                     else
337                     {
338                         cout << "答错了！" << endl;
339                         wrong = wrong + 1;
340                     }
341                 }
342                 else
343                 {
344                     i = i - 1;
345                 }
346                 break;
347             case 1:                //分数减法
348                 if (fushu == 1)
349                 {
350                     if ((firstm != 0) && (secondm != 0) && (first<firstm) && (second<secondm))
351                     {
352                         cout << first << "/" << firstm << "  -  " << second << "/" << secondm << "=" << endl;
353                         cout << "请输入结果（分子和分母）：";
354                         cin >> ans;
355                         if (ans != 0)
356                         {
357                             cin >> ansm;
358                             x.set(ans, ansm);
359                             x1.set(first, firstm);
360                             x2.set(second, secondm);
361                             y = sub(x1, x2);
362                             if (true == judge1(x, y))
363                             {
364                                 cout << "答对了！" << endl;
365                                 right = right + 1;
366                             }
367                             else
368                             {
369                                 cout << "答错了！" << endl;
370                                 wrong = wrong + 1;
371                             }
372                         }
373                         else
374                         {
375                             x1.set(first, firstm);
376                             x2.set(second, secondm);
377                             y = sub(x1, x2);
378                             if (true == judge2(y, ans))
379                             {
380                                 cout << "答对了！" << endl;
381                                 right = right + 1;
382                             }
383                             else
384                             {
385                                 cout << "答错了！" << endl;
386                                 wrong = wrong + 1;
387                             }
388                         }
389                     }
390                     else
391                     {
392                         i = i - 1;
393                     }
394                 }
395                 else
396                 {
397                     if ((firstm != 0) && (secondm != 0) && (first<firstm) && (second<secondm) && ((first / firstm)>(second / secondm)))
398                     {
399                         cout << first << "/" << firstm << "  -  " << second << "/" << secondm << "=" << endl;
400                         cout << "请输入结果（分子和分母）：";
401                         cin >> ans;
402                         if (ans != 0)
403                         {
404                             cin >> ansm;
405                             x.set(ans, ansm);
406                             x1.set(first, firstm);
407                             x2.set(second, secondm);
408                             y = sub(x1, x2);
409                             if (true == judge1(x, y))
410                             {
411                                 cout << "答对了！" << endl;
412                                 right = right + 1;
413                             }
414                             else
415                             {
416                                 cout << "答错了！" << endl;
417                                 wrong = wrong + 1;
418                             }
419                         }
420                         else
421                         {
422                             x1.set(first, firstm);
423                             x2.set(second, secondm);
424                             y = sub(x1, x2);
425                             if (true == judge2(y, ans))
426                             {
427                                 cout << "答对了！" << endl;
428                                 right = right + 1;
429                             }
430                             else
431                             {
432                                 cout << "答错了！" << endl;
433                                 wrong = wrong + 1;
434                             }
435                         }
436                     }
437                     else
438                     {
439                         i = i - 1;
440                     }
441                 }
442                 break;
443             case 2:                //分数乘法
444                 if ((firstm != 0) && (secondm != 0) && (first<firstm) && (second<secondm))
445                 {
446                     cout << first << "/" << firstm << "  *  " << second << "/" << secondm << "=" << endl;
447                     cout << "请输入结果（分子和分母）：";
448                     cin >> ans;
449                     if (ans != 0)
450                     {
451                         cin >> ansm;
452                         x.set(ans, ansm);
453                         x1.set(first, firstm);
454                         x2.set(second, secondm);
455                         y = sub(x1, x2);
456                         if (true == judge1(x, y))
457                         {
458                             cout << "答对了！" << endl;
459                             right = right + 1;
460                         }
461                         else
462                         {
463                             cout << "答错了！" << endl;
464                             wrong = wrong + 1;
465                         }
466                     }
467                     else
468                     {
469                         x1.set(first, firstm);
470                         x2.set(second, secondm);
471                         y = sub(x1, x2);
472                         if (true == judge2(y, ans))
473                         {
474                             cout << "答对了！" << endl;
475                             right = right + 1;
476                         }
477                         else
478                         {
479                             cout << "答错了！" << endl;
480                             wrong = wrong + 1;
481                         }
482                     }
483                 }
484                 else
485                 {
486                     i = i - 1;
487                 }
488                 break;
489             case 3:                //分数除法
490                 if ((firstm != 0) && (secondm != 0) && (first != 0) && (second != 0) && (first<firstm) && (second<secondm))
491                 {
492                     cout << first << "/" << firstm << "  /  " << second << "/" << secondm << "=" << endl;
493                     cout << "请输入结果（分子和分母）：";
494                     cin >> ans;
495                     if (ans != 0)
496                     {
497                         cin >> ansm;
498                         x.set(ans, ansm);
499                         x1.set(first, firstm);
500                         x2.set(second, secondm);
501                         y = sub(x1, x2);
502                         if (true == judge1(x, y))
503                         {
504                             cout << "答对了！" << endl;
505                             right = right + 1;
506                         }
507                         else
508                         {
509                             cout << "答错了！" << endl;
510                             wrong = wrong + 1;
511                         }
512                     }
513                     else
514                     {
515                         x1.set(first, firstm);
516                         x2.set(second, secondm);
517                         y = sub(x1, x2);
518                         if (true == judge2(y, ans))
519                         {
520                             cout << "答对了！" << endl;
521                             right = right + 1;
522                         }
523                         else
524                         {
525                             cout << "答错了！" << endl;
526                             wrong = wrong + 1;
527                         }
528                     }
529                 }
530                 else
531                 {
532                     i = i - 1;
533                 }
534                 break;
535             }
536         }
537     }
538     cout << "总共完成" << num << "道题，做对" << right << "道，做错" << wrong << "道题！" << endl;
539 }