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  1. #include <iostream>
  2. #include <cstdio>
  3. using namespace std;
  4.  
  5. class Carrier;
  6. class BigInt;
  7. class Decimal;
  8.  
  9. class Carrier {
  10. 	friend class Decimal;
  11. protected:
  12. 	struct Four {
  13. 		Four *upper;
  14. 		Four *under;
  15. 		unsigned long value;
  16. 		Four();
  17. 	};
  18. 	Four *most;
  19. 	Four *least;
  20. 	unsigned long count;
  21. 	Carrier();
  22. 	~Carrier();
  23. 	virtual unsigned long calcFlow(const unsigned long& value) const = 0;
  24. 	virtual unsigned long calcUnit(const unsigned long& value) const = 0;
  25. 	void init(unsigned long value);
  26. 	Four* carry();
  27. 	Carrier& copy(const Carrier& carrier);
  28. 	Carrier& copy(const Carrier *carrier);
  29. 	Carrier& swap(Carrier& carrier);
  30. 	Carrier& add(const Carrier& value);
  31. 	Carrier& mul(const Carrier& value, Carrier& temp);
  32. };
  33.  
  34. class BigInt : public Carrier
  35. {
  36. 	friend class Decimal;
  37. private:
  38. 	static const unsigned long UNIT = 0xFFFF;
  39. 	static const unsigned long SHIFT = 16;
  40. 	unsigned long calcFlow(const unsigned long& value) const;
  41. 	unsigned long calcUnit(const unsigned long& value) const;
  42. public:
  43. 	BigInt();
  44. 	BigInt(unsigned long value);
  45. 	BigInt(const BigInt& value);
  46. 	BigInt(const BigInt *value);
  47. 	BigInt& operator ++ ();
  48. 	BigInt& operator += (const BigInt& value);
  49. 	BigInt operator + (const BigInt& value);
  50. 	BigInt& operator *= (const BigInt& value);
  51. 	BigInt operator * (const BigInt& value);
  52. 	BigInt& operator = (const BigInt& value);
  53. 	unsigned long digits() const;
  54. 	void print() const;
  55. 	void println() const;
  56. };
  57.  
  58. class Decimal : public Carrier
  59. {
  60. private:
  61. 	static const unsigned long UNIT = 10000;
  62. 	unsigned long calcFlow(const unsigned long& value) const;
  63. 	unsigned long calcUnit(const unsigned long& value) const;
  64. public:
  65. 	Decimal();
  66. 	Decimal(unsigned long value);
  67. 	Decimal(const Decimal& value);
  68. 	Decimal(const Decimal *value);
  69. 	Decimal(const BigInt& value);
  70. 	Decimal(const BigInt *value);
  71. 	Decimal& operator ++ ();
  72. 	Decimal& operator = (const Decimal& value);
  73. 	Decimal& operator += (const Decimal& value);
  74. 	Decimal& operator *= (const Decimal& value);
  75. 	Decimal operator + (const Decimal& value);
  76. 	Decimal operator * (const Decimal& value);
  77. 	unsigned long digits() const;
  78. 	void print() const;
  79. 	void println() const;
  80.  
  81. };
  82.  
  83. Carrier::Four::Four() : upper(NULL), under(NULL), value(0) {}
  84. Carrier::Carrier() : count(1) { most = least = new Four; }
  85. Carrier::~Carrier() { 
  86. 	Four *temp;
  87. 	while (most != NULL) {
  88. 		temp = most->under;
  89. 		delete most;
  90. 		most = temp;
  91. 	}
  92. 	//count = 0;
  93. 	//most = least = NULL;
  94. }
  95. void Carrier::init(unsigned long value) {
  96. 	Four *temp = least;
  97. 	while (value > 0) {
  98. 		if (temp == NULL) {
  99. 			temp = carry();
  100. 		}
  101. 		temp->value = calcUnit(value);
  102. 		value = calcFlow(value);
  103. 		temp = temp->upper;
  104. 	}
  105. }
  106. Carrier& Carrier::copy(const Carrier& carrier) {
  107. 	Four *me = least;
  108. 	Four *he = carrier.least;
  109. 	while (he != NULL) {
  110. 		if (me == NULL) {
  111. 			me = carry();
  112. 		}
  113. 		me->value = he->value;
  114. 		me = me->upper;
  115. 		he = he->upper;
  116. 	}
  117. 	while (me != NULL) {
  118. 		me->value = 0;
  119. 		me = me->upper;
  120. 	}
  121. 	return *this;
  122. }
  123. Carrier& Carrier::copy(const Carrier *carrier) { if (carrier != NULL) { copy(*carrier); } return *this; }
  124. Carrier& Carrier::swap(Carrier& carrier) {
  125. 	Four *temp_most  = most;
  126. 	Four *temp_least = least;
  127. 	int   temp_count = count;
  128. 	most  = carrier.most;
  129. 	least = carrier.least;
  130. 	count = carrier.count;
  131. 	carrier.most  = temp_most;
  132. 	carrier.least = temp_least;
  133. 	carrier.count = temp_count;
  134. 	return *this;
  135. }
  136. Carrier::Four* Carrier::carry() {
  137. 	count++;
  138. 	Four *temp = new Four;
  139. 	temp->under = most;
  140. 	most->upper = temp;
  141. 	most = temp;
  142. 	return most;
  143. }
  144. Carrier& Carrier::add(const Carrier& value) {
  145. 	unsigned long flow = 0;
  146. 	Four *me = least;
  147. 	Four *he = value.least;
  148. 	while (he != NULL) {
  149. 		if (me == NULL) {
  150. 			me = carry();
  151. 		}
  152. 		me->value += he->value + flow;
  153. 		flow = calcFlow(me->value);
  154. 		me->value = calcUnit(me->value);
  155. 		me = me->upper;
  156. 		he = he->upper;
  157. 	}
  158. 	while (flow > 0) {
  159. 		if (me == NULL) {
  160. 			me = carry();
  161. 		}
  162. 		me->value += flow;
  163. 		flow = calcFlow(me->value);
  164. 		me->value = calcUnit(me->value);
  165. 		me = me->upper;
  166. 	}
  167. 	return *this;
  168. }
  169. Carrier& Carrier::mul(const Carrier& value, Carrier& temp) {
  170. 	swap(temp);
  171. 	Four *me = least;
  172. 	Four *he = value.least;
  173. 	Four *she, *who;
  174. 	unsigned long flow1, flow2, product;
  175. 	while (he != NULL) {
  176. 		if (me == NULL) {
  177. 			me = carry();
  178. 		}
  179. 		she = temp.least;
  180. 		who = me;
  181. 		flow1 = flow2 = 0;
  182. 		while (she != NULL) {
  183. 			if (who == NULL) {
  184. 				who = carry();
  185. 			}
  186. 			product = he->value * she->value;
  187. 			flow2 = calcFlow(product);
  188. 			who->value += calcUnit(product);
  189. 			flow2 += calcFlow(who->value);
  190. 			who->value = calcUnit(who->value);
  191. 			who->value += flow1;
  192. 			flow1 = flow2 + calcFlow(who->value);
  193. 			who->value = calcUnit(who->value);
  194. 			who = who->upper;
  195. 			she = she->upper;
  196. 		}
  197. 		while (flow1 > 0) {
  198. 			if (who == NULL) {
  199. 				who = carry();
  200. 			}
  201. 			who->value += flow1;
  202. 			flow1 = calcFlow(who->value);
  203. 			who->value = calcUnit(who->value);
  204. 			who = who->upper;
  205. 		}
  206. 		me = me->upper;
  207. 		he = he->upper;
  208. 	}
  209. 	return *this;
  210. }
  211.  
  212. unsigned long BigInt::calcFlow(const unsigned long& value) const { return value >> SHIFT; }
  213. unsigned long BigInt::calcUnit(const unsigned long& value) const { return value & UNIT; }
  214. BigInt::BigInt() {}
  215. BigInt::BigInt(unsigned long value) { init(value); }
  216. BigInt::BigInt(const BigInt& value) { copy(value); }
  217. BigInt::BigInt(const BigInt *value) { copy(value); }
  218. void BigInt::print() const { Decimal temp(*this); temp.print(); }
  219. void BigInt::println() const { Decimal temp(*this); temp.println(); }
  220. unsigned long BigInt::digits() const { Decimal temp(*this); return temp.digits(); }
  221. BigInt& BigInt::operator ++ () { add(BigInt(1)); return *this; }
  222. BigInt& BigInt::operator += (const BigInt& value) { add(value); return *this; }
  223. BigInt BigInt::operator + (const BigInt& value) { BigInt sum(value); sum.add(*this); return sum; }
  224. BigInt& BigInt::operator *= (const BigInt& value) { BigInt zero; mul(value, zero); return *this; }
  225. BigInt BigInt::operator * (const BigInt& value) { BigInt product(value), zero; product.mul(*this, zero); return product; }
  226. BigInt& BigInt::operator = (const BigInt& value) { copy(value); return *this; }
  227.  
  228. unsigned long Decimal::calcFlow(const unsigned long& value) const { return value / UNIT; }
  229. unsigned long Decimal::calcUnit(const unsigned long& value) const { return value % UNIT; }
  230. Decimal::Decimal() {}
  231. Decimal::Decimal(unsigned long value) { init(value); }
  232. Decimal::Decimal(const Decimal& value) { copy(value); }
  233. Decimal::Decimal(const Decimal *value) { copy(*value); }
  234. Decimal::Decimal(const BigInt& value) {
  235. 	const Decimal temp(BigInt::UNIT + 1);
  236. 	Four *cur = value.most;
  237. 	while (cur != NULL) {
  238. 		Decimal zero;
  239. 		mul(temp, zero);
  240. 		add(Decimal(cur->value));
  241. 		cur = cur->under;
  242. 	}
  243. }
  244. Decimal::Decimal(const BigInt *value) { 
  245. 	if (value != NULL) {
  246. 		Decimal temp(*value);
  247. 		swap(temp);
  248. 	} 
  249. }
  250. void Decimal::print() const {
  251. 	Four *temp = most;
  252. 	int f = 0;
  253. 	while (temp != NULL) {
  254. 		if (f == 0) {
  255. 			if (temp->value != 0) {
  256. 				printf("%ld", temp->value);
  257. 				f = 1;
  258. 			}
  259. 		} else {
  260. 			printf("%04ld", temp->value);
  261. 		}
  262. 		temp = temp->under;
  263. 	}
  264. 	if (f == 0) {
  265. 		putchar('0');
  266. 	}
  267. }
  268. void Decimal::println() const { print(); putchar('\n'); }
  269. unsigned long Decimal::digits() const {
  270. 	unsigned long temp_count = count;
  271. 	Four *temp = most;
  272. 	while (temp->value == 0) {
  273. 		temp_count--;
  274. 		if ((temp = temp->under) == NULL) {
  275. 			return 1;
  276. 		}
  277. 	}
  278. 	temp_count *= 4;
  279. 	unsigned long unit = UNIT / 10;
  280. 	while (temp->value < unit) {
  281. 	    temp_count--;
  282. 	    unit /= 10;
  283. 	}
  284. 	return temp_count;
  285. }
  286. Decimal& Decimal::operator ++ () { return add(Decimal(1)), *this; }
  287. Decimal& Decimal::operator += (const Decimal& value) { add(value); return *this; }
  288. Decimal Decimal::operator + (const Decimal& value) { Decimal sum(value); sum.add(*this); return sum; }
  289. Decimal& Decimal::operator *= (const Decimal& value) { Decimal zero; mul(value, zero); return *this; }
  290. Decimal Decimal::operator * (const Decimal& value) { Decimal product(value), zero; product.mul(*this, zero); return product; }
  291. Decimal& Decimal::operator = (const Decimal& value) { copy(value); return *this; }
  292.  
  293.  
  294. int main() {
  295.  
  296.  
  297. 	BigInt val1(111111);
  298. 	BigInt val2(val1 + 800800);
  299. 	BigInt val3(val1 * val2);
  300. 	BigInt val4(val1 + val2);
  301.  
  302. 	val3 *= val1 * val1;
  303. 	val4 += val2 * val2;;
  304.  
  305. 	val1.println();
  306. 	cout << "digits: " << val1.digits() << endl;
  307. 	val2.println();
  308. 	cout << "digits: " << val2.digits() << endl;
  309. 	val3.println();
  310. 	cout << "digits: " << val3.digits() << endl;
  311. 	val4.println();
  312. 	cout << "digits: " << val4.digits() << endl;
  313.  
  314.  
  315. 	Decimal dec1(111111);
  316. 	Decimal dec2(dec1 + 800800);
  317. 	Decimal dec3(dec1 * dec2);
  318. 	Decimal dec4(dec1 + dec2);
  319.  
  320. 	dec3 *= dec1 * dec1;
  321. 	dec4 += dec2 * dec2;
  322.  
  323. 	dec1.println();
  324. 	cout << "digits: " << dec1.digits() << endl;
  325. 	dec2.println();
  326. 	cout << "digits: " << dec2.digits() << endl;
  327. 	dec3.println();
  328. 	cout << "digits: " << dec3.digits() << endl;
  329. 	dec4.println();	
  330. 	cout << "digits: " << dec4.digits() << endl;
  331.  
  332. 	BigInt val5(val4 * val4 * val4);
  333. 	val5 *= val5 * val5 * val5;
  334. 	val5 *= val5 * val5 * val5;
  335. 	val5 *= val5 * val5 * val5;
  336. 	val5 *= val5 * val5 * val5;
  337.  
  338. 	Decimal dec5(val5);
  339. 	dec5.println();	
  340. 	cout << "digits: " << dec5.digits() << endl;
  341.  
  342. 	return 0;
  343. }
Success #stdin #stdout 0.32s 3484KB
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stdin
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Standard input is empty
stdout
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111111
digits: 6
911911
digits: 6
1250902968819939275841
digits: 22
831582694943
digits: 12
111111
digits: 6
911911
digits: 6
1250902968819939275841
digits: 22
831582694943
digits: 12
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digits: 9155
https://ideone.com/3FT1Dz
language:
C++ (gcc 8.3)
created:
11 years ago
visibility:
public

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