1 // Copyright (c) 2009-2010 Satoshi Nakamoto
2 // Copyright (c) 2009-2012 The Bitcoin developers
3 // Distributed under the MIT/X11 software license, see the accompanying
4 // file COPYING or http://www.opensource.org/licenses/mit-license.php.
5 #ifndef BITCOIN_UINT256_H
6 #define BITCOIN_UINT256_H
17 /** Base class without constructors for uint256 and uint160.
18 * This makes the compiler let u use it in a union.
20 template<unsigned int BITS>
24 enum { WIDTH=BITS/32 };
31 for (int i = 0; i < WIDTH; i++)
32 ret.pn[i] = std::numeric_limits<uint32_t>::max();
36 bool operator!() const
38 for (int i = 0; i < WIDTH; i++)
44 const base_uint operator~() const
47 for (int i = 0; i < WIDTH; i++)
52 const base_uint operator-() const
55 for (int i = 0; i < WIDTH; i++)
61 double getdouble() const
65 for (int i = 0; i < WIDTH; i++) {
72 base_uint& operator=(uint64_t b)
75 pn[1] = (uint32_t)(b >> 32);
76 for (int i = 2; i < WIDTH; i++)
81 base_uint& operator^=(const base_uint& b)
83 for (int i = 0; i < WIDTH; i++)
88 base_uint& operator&=(const base_uint& b)
90 for (int i = 0; i < WIDTH; i++)
95 base_uint& operator|=(const base_uint& b)
97 for (int i = 0; i < WIDTH; i++)
102 base_uint& operator^=(uint64_t b)
104 pn[0] ^= (uint32_t)b;
105 pn[1] ^= (uint32_t)(b >> 32);
109 base_uint& operator|=(uint64_t b)
111 pn[0] |= (uint32_t)b;
112 pn[1] |= (uint32_t)(b >> 32);
116 base_uint& operator<<=(unsigned int shift)
119 for (int i = 0; i < WIDTH; i++)
123 for (int i = 0; i < WIDTH; i++)
125 if (i+k+1 < WIDTH && shift != 0)
126 pn[i+k+1] |= (a.pn[i] >> (32-shift));
128 pn[i+k] |= (a.pn[i] << shift);
133 base_uint& operator>>=(unsigned int shift)
136 for (int i = 0; i < WIDTH; i++)
140 for (int i = 0; i < WIDTH; i++)
142 if (i-k-1 >= 0 && shift != 0)
143 pn[i-k-1] |= (a.pn[i] << (32-shift));
145 pn[i-k] |= (a.pn[i] >> shift);
150 base_uint& operator+=(const base_uint& b)
153 for (int i = 0; i < WIDTH; i++)
155 uint64_t n = carry + pn[i] + b.pn[i];
156 pn[i] = n & 0xffffffff;
162 base_uint& operator-=(const base_uint& b)
168 base_uint& operator+=(uint64_t b64)
176 base_uint& operator-=(uint64_t b64)
185 base_uint& operator++()
189 while (++pn[i] == 0 && i < WIDTH-1)
194 const base_uint operator++(int)
197 const base_uint ret = *this;
202 base_uint& operator--()
206 while (--pn[i] == -1 && i < WIDTH-1)
211 const base_uint operator--(int)
214 const base_uint ret = *this;
220 friend inline bool operator<(const base_uint& a, const base_uint& b)
222 for (int i = base_uint::WIDTH-1; i >= 0; i--)
224 if (a.pn[i] < b.pn[i])
226 else if (a.pn[i] > b.pn[i])
232 friend inline bool operator<=(const base_uint& a, const base_uint& b)
234 for (int i = base_uint::WIDTH-1; i >= 0; i--)
236 if (a.pn[i] < b.pn[i])
238 else if (a.pn[i] > b.pn[i])
244 friend inline bool operator>(const base_uint& a, const base_uint& b)
246 for (int i = base_uint::WIDTH-1; i >= 0; i--)
248 if (a.pn[i] > b.pn[i])
250 else if (a.pn[i] < b.pn[i])
256 friend inline bool operator>=(const base_uint& a, const base_uint& b)
258 for (int i = base_uint::WIDTH-1; i >= 0; i--)
260 if (a.pn[i] > b.pn[i])
262 else if (a.pn[i] < b.pn[i])
268 friend inline bool operator==(const base_uint& a, const base_uint& b)
270 for (int i = 0; i < base_uint::WIDTH; i++)
271 if (a.pn[i] != b.pn[i])
276 friend inline bool operator==(const base_uint& a, uint64_t b)
278 if (a.pn[0] != (uint32_t)b)
280 if (a.pn[1] != (uint32_t)(b >> 32))
282 for (int i = 2; i < base_uint::WIDTH; i++)
288 friend inline bool operator!=(const base_uint& a, const base_uint& b)
293 friend inline bool operator!=(const base_uint& a, uint64_t b)
298 std::string GetHex() const
300 std::stringstream ss;
301 size_t pn_size = sizeof(pn) / sizeof(pn[0]);
302 for (size_t i = 1; i <= pn_size; i++)
303 ss << std::setfill('0') << std::setw(8) << std::setbase(16) << pn[pn_size-i];
307 void SetHex(const char* psz)
309 for (int i = 0; i < WIDTH; i++)
312 // skip leading spaces
313 while (isspace(*psz))
317 if (psz[0] == '0' && tolower(psz[1]) == 'x')
320 // hex string to uint
321 static const unsigned char phexdigit[256] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,2,3,4,5,6,7,8,9,0,0,0,0,0,0, 0,0xa,0xb,0xc,0xd,0xe,0xf,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0xa,0xb,0xc,0xd,0xe,0xf,0,0,0,0,0,0,0,0,0 };
322 const char* pbegin = psz;
323 while (phexdigit[(unsigned char)*psz] || *psz == '0')
326 unsigned char* p1 = (unsigned char*)pn;
327 unsigned char* pend = p1 + WIDTH * 4;
328 while (psz >= pbegin && p1 < pend)
330 *p1 = phexdigit[(unsigned char)*psz--];
333 *p1 |= (phexdigit[(unsigned char)*psz--] << 4);
339 void SetHex(const std::string& str)
344 std::string ToString() const
349 unsigned char* begin() const
351 return (unsigned char*)&pn[0];
354 unsigned char* end() const
356 return (unsigned char*)&pn[WIDTH];
359 std::vector<unsigned char> getBytes()
361 return std::vector<unsigned char>(begin(), end());
369 uint64_t Get64(int n=0) const
371 return pn[2*n] | (uint64_t)pn[2*n+1] << 32;
374 uint32_t Get32(int n=0) const
379 unsigned int GetSerializeSize(int nType, int nVersion) const
384 unsigned int bits() const
386 for (int pos = WIDTH - 1; pos >= 0; pos--) {
388 for (int bits = 31; bits > 0; bits--) {
389 if (pn[pos] & 1 << bits)
390 return 32 * pos + bits + 1;
398 template<typename Stream>
399 void Serialize(Stream& s, int nType, int nVersion) const
401 s.write((char*)pn, sizeof(pn));
404 template<typename Stream>
405 void Unserialize(Stream& s, int nType, int nVersion)
407 s.read((char*)pn, sizeof(pn));
410 friend class uint160;
411 friend class uint256;
414 typedef base_uint<160> base_uint160;
415 typedef base_uint<256> base_uint256;
418 // uint160 and uint256 could be implemented as templates, but to keep
419 // compile errors and debugging cleaner, they're copy and pasted.
424 //////////////////////////////////////////////////////////////////////////////
429 /** 160-bit unsigned integer */
430 class uint160 : public base_uint160
433 typedef base_uint160 basetype;
436 uint160(const basetype& b);
437 uint160& operator=(const basetype& b);
439 uint160& operator=(uint64_t b);
440 explicit uint160(const std::string& str);
441 explicit uint160(const std::vector<unsigned char>& vch);
444 inline bool operator==(const uint160& a, uint64_t b) { return (base_uint160)a == b; }
445 inline bool operator!=(const uint160& a, uint64_t b) { return (base_uint160)a != b; }
446 inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
447 inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
448 inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
449 inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
451 inline const uint160 operator^(const base_uint160& a, const base_uint160& b) { return uint160(a) ^= b; }
452 inline const uint160 operator&(const base_uint160& a, const base_uint160& b) { return uint160(a) &= b; }
453 inline const uint160 operator|(const base_uint160& a, const base_uint160& b) { return uint160(a) |= b; }
454 inline const uint160 operator+(const base_uint160& a, const base_uint160& b) { return uint160(a) += b; }
455 inline const uint160 operator-(const base_uint160& a, const base_uint160& b) { return uint160(a) -= b; }
457 inline bool operator<(const base_uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
458 inline bool operator<=(const base_uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
459 inline bool operator>(const base_uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
460 inline bool operator>=(const base_uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
461 inline bool operator==(const base_uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
462 inline bool operator!=(const base_uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
463 inline const uint160 operator^(const base_uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
464 inline const uint160 operator&(const base_uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
465 inline const uint160 operator|(const base_uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
466 inline const uint160 operator+(const base_uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
467 inline const uint160 operator-(const base_uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
469 inline bool operator<(const uint160& a, const base_uint160& b) { return (base_uint160)a < (base_uint160)b; }
470 inline bool operator<=(const uint160& a, const base_uint160& b) { return (base_uint160)a <= (base_uint160)b; }
471 inline bool operator>(const uint160& a, const base_uint160& b) { return (base_uint160)a > (base_uint160)b; }
472 inline bool operator>=(const uint160& a, const base_uint160& b) { return (base_uint160)a >= (base_uint160)b; }
473 inline bool operator==(const uint160& a, const base_uint160& b) { return (base_uint160)a == (base_uint160)b; }
474 inline bool operator!=(const uint160& a, const base_uint160& b) { return (base_uint160)a != (base_uint160)b; }
475 inline const uint160 operator^(const uint160& a, const base_uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
476 inline const uint160 operator&(const uint160& a, const base_uint160& b) { return (base_uint160)a & (base_uint160)b; }
477 inline const uint160 operator|(const uint160& a, const base_uint160& b) { return (base_uint160)a | (base_uint160)b; }
478 inline const uint160 operator+(const uint160& a, const base_uint160& b) { return (base_uint160)a + (base_uint160)b; }
479 inline const uint160 operator-(const uint160& a, const base_uint160& b) { return (base_uint160)a - (base_uint160)b; }
481 inline bool operator<(const uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
482 inline bool operator<=(const uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
483 inline bool operator>(const uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
484 inline bool operator>=(const uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
485 inline bool operator==(const uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
486 inline bool operator!=(const uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
487 inline const uint160 operator^(const uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
488 inline const uint160 operator&(const uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
489 inline const uint160 operator|(const uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
490 inline const uint160 operator+(const uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
491 inline const uint160 operator-(const uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
498 //////////////////////////////////////////////////////////////////////////////
504 /** Errors thrown by the uint256 class */
505 class uint256_error : public std::exception
508 explicit uint256_error(const std::string& error_message) : what_(error_message) {}
510 virtual const char* what() const throw () { return what_.c_str(); }
511 virtual ~uint256_error() throw () {}
516 /** 256-bit unsigned integer */
517 class uint256 : public base_uint256
520 typedef base_uint256 basetype;
523 uint256(const basetype& b);
524 uint256& operator=(const basetype& b);
526 uint256& operator=(uint64_t b);
527 uint256& SetCompact(uint32_t nCompact, bool *pfNegative = NULL, bool *pfOverflow = NULL);
528 uint32_t GetCompact(bool fNegative = false) const;
529 uint256& operator*=(uint32_t b32);
530 uint256& operator*=(const uint256& b);
531 uint256& operator/=(const uint256& b);
532 explicit uint256(const std::string& str);
533 explicit uint256(const std::vector<unsigned char>& vch);
536 inline bool operator==(const uint256& a, uint64_t b) { return (base_uint256)a == b; }
537 inline bool operator!=(const uint256& a, uint64_t b) { return (base_uint256)a != b; }
538 inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
539 inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
540 inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
541 inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
543 inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
544 inline const uint256 operator&(const base_uint256& a, const base_uint256& b) { return uint256(a) &= b; }
545 inline const uint256 operator|(const base_uint256& a, const base_uint256& b) { return uint256(a) |= b; }
546 inline const uint256 operator+(const base_uint256& a, const base_uint256& b) { return uint256(a) += b; }
547 inline const uint256 operator*(const base_uint256& a, const base_uint256& b) { return uint256(a) *= b; }
548 inline const uint256 operator/(const base_uint256& a, const base_uint256& b) { return uint256(a) /= b; }
549 inline const uint256 operator-(const base_uint256& a, const base_uint256& b) { return uint256(a) -= b; }
551 inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
552 inline bool operator<=(const base_uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
553 inline bool operator>(const base_uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
554 inline bool operator>=(const base_uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
555 inline bool operator==(const base_uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
556 inline bool operator!=(const base_uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
557 inline const uint256 operator^(const base_uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
558 inline const uint256 operator&(const base_uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
559 inline const uint256 operator|(const base_uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
560 inline const uint256 operator+(const base_uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
561 inline const uint256 operator*(const base_uint256& a, const uint256& b) { return (base_uint256)a * (base_uint256)b; }
562 inline const uint256 operator/(const base_uint256& a, const uint256& b) { return (base_uint256)a / (base_uint256)b; }
563 inline const uint256 operator-(const base_uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
565 inline bool operator<(const uint256& a, const base_uint256& b) { return (base_uint256)a < (base_uint256)b; }
566 inline bool operator<=(const uint256& a, const base_uint256& b) { return (base_uint256)a <= (base_uint256)b; }
567 inline bool operator>(const uint256& a, const base_uint256& b) { return (base_uint256)a > (base_uint256)b; }
568 inline bool operator>=(const uint256& a, const base_uint256& b) { return (base_uint256)a >= (base_uint256)b; }
569 inline bool operator==(const uint256& a, const base_uint256& b) { return (base_uint256)a == (base_uint256)b; }
570 inline bool operator!=(const uint256& a, const base_uint256& b) { return (base_uint256)a != (base_uint256)b; }
571 inline const uint256 operator^(const uint256& a, const base_uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
572 inline const uint256 operator&(const uint256& a, const base_uint256& b) { return (base_uint256)a & (base_uint256)b; }
573 inline const uint256 operator|(const uint256& a, const base_uint256& b) { return (base_uint256)a | (base_uint256)b; }
574 inline const uint256 operator+(const uint256& a, const base_uint256& b) { return (base_uint256)a + (base_uint256)b; }
575 inline const uint256 operator-(const uint256& a, const base_uint256& b) { return (base_uint256)a - (base_uint256)b; }
577 inline bool operator<(const uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
578 inline bool operator<=(const uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
579 inline bool operator>(const uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
580 inline bool operator>=(const uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
581 inline bool operator==(const uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
582 inline bool operator!=(const uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
583 inline const uint256 operator^(const uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
584 inline const uint256 operator&(const uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
585 inline const uint256 operator|(const uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
586 inline const uint256 operator+(const uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
587 inline const uint256 operator-(const uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }