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 license.txt or http://www.opensource.org/licenses/mit-license.php.
5 #ifndef BITCOIN_UINT256_H
6 #define BITCOIN_UINT256_H
14 typedef long long int64;
15 typedef unsigned long long uint64;
18 inline int Testuint256AdHoc(std::vector<std::string> vArg);
22 /** Base class without constructors for uint256 and uint160.
23 * This makes the compiler let u use it in a union.
25 template<unsigned int BITS>
29 enum { WIDTH=BITS/32 };
30 unsigned int pn[WIDTH];
33 bool operator!() const
35 for (int i = 0; i < WIDTH; i++)
41 const base_uint operator~() const
44 for (int i = 0; i < WIDTH; i++)
49 const base_uint operator-() const
52 for (int i = 0; i < WIDTH; i++)
59 base_uint& operator=(uint64 b)
61 pn[0] = (unsigned int)b;
62 pn[1] = (unsigned int)(b >> 32);
63 for (int i = 2; i < WIDTH; i++)
68 base_uint& operator^=(const base_uint& b)
70 for (int i = 0; i < WIDTH; i++)
75 base_uint& operator&=(const base_uint& b)
77 for (int i = 0; i < WIDTH; i++)
82 base_uint& operator|=(const base_uint& b)
84 for (int i = 0; i < WIDTH; i++)
89 base_uint& operator^=(uint64 b)
91 pn[0] ^= (unsigned int)b;
92 pn[1] ^= (unsigned int)(b >> 32);
96 base_uint& operator|=(uint64 b)
98 pn[0] |= (unsigned int)b;
99 pn[1] |= (unsigned int)(b >> 32);
103 base_uint& operator<<=(unsigned int shift)
106 for (int i = 0; i < WIDTH; i++)
110 for (int i = 0; i < WIDTH; i++)
112 if (i+k+1 < WIDTH && shift != 0)
113 pn[i+k+1] |= (a.pn[i] >> (32-shift));
115 pn[i+k] |= (a.pn[i] << shift);
120 base_uint& operator>>=(unsigned int shift)
123 for (int i = 0; i < WIDTH; i++)
127 for (int i = 0; i < WIDTH; i++)
129 if (i-k-1 >= 0 && shift != 0)
130 pn[i-k-1] |= (a.pn[i] << (32-shift));
132 pn[i-k] |= (a.pn[i] >> shift);
137 base_uint& operator+=(const base_uint& b)
140 for (int i = 0; i < WIDTH; i++)
142 uint64 n = carry + pn[i] + b.pn[i];
143 pn[i] = n & 0xffffffff;
149 base_uint& operator-=(const base_uint& b)
155 base_uint& operator+=(uint64 b64)
163 base_uint& operator-=(uint64 b64)
172 base_uint& operator++()
176 while (++pn[i] == 0 && i < WIDTH-1)
181 const base_uint operator++(int)
184 const base_uint ret = *this;
189 base_uint& operator--()
193 while (--pn[i] == -1 && i < WIDTH-1)
198 const base_uint operator--(int)
201 const base_uint ret = *this;
207 friend inline bool operator<(const base_uint& a, const base_uint& b)
209 for (int i = base_uint::WIDTH-1; i >= 0; i--)
211 if (a.pn[i] < b.pn[i])
213 else if (a.pn[i] > b.pn[i])
219 friend inline bool operator<=(const base_uint& a, const base_uint& b)
221 for (int i = base_uint::WIDTH-1; i >= 0; i--)
223 if (a.pn[i] < b.pn[i])
225 else if (a.pn[i] > b.pn[i])
231 friend inline bool operator>(const base_uint& a, const base_uint& b)
233 for (int i = base_uint::WIDTH-1; i >= 0; i--)
235 if (a.pn[i] > b.pn[i])
237 else if (a.pn[i] < b.pn[i])
243 friend inline bool operator>=(const base_uint& a, const base_uint& b)
245 for (int i = base_uint::WIDTH-1; i >= 0; i--)
247 if (a.pn[i] > b.pn[i])
249 else if (a.pn[i] < b.pn[i])
255 friend inline bool operator==(const base_uint& a, const base_uint& b)
257 for (int i = 0; i < base_uint::WIDTH; i++)
258 if (a.pn[i] != b.pn[i])
263 friend inline bool operator==(const base_uint& a, uint64 b)
265 if (a.pn[0] != (unsigned int)b)
267 if (a.pn[1] != (unsigned int)(b >> 32))
269 for (int i = 2; i < base_uint::WIDTH; i++)
275 friend inline bool operator!=(const base_uint& a, const base_uint& b)
280 friend inline bool operator!=(const base_uint& a, uint64 b)
287 std::string GetHex() const
289 char psz[sizeof(pn)*2 + 1];
290 for (unsigned int i = 0; i < sizeof(pn); i++)
291 sprintf(psz + i*2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]);
292 return std::string(psz, psz + sizeof(pn)*2);
295 void SetHex(const char* psz)
297 for (int i = 0; i < WIDTH; i++)
300 // skip leading spaces
301 while (isspace(*psz))
305 if (psz[0] == '0' && tolower(psz[1]) == 'x')
308 // hex string to uint
309 static 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 };
310 const char* pbegin = psz;
311 while (phexdigit[(unsigned char)*psz] || *psz == '0')
314 unsigned char* p1 = (unsigned char*)pn;
315 unsigned char* pend = p1 + WIDTH * 4;
316 while (psz >= pbegin && p1 < pend)
318 *p1 = phexdigit[(unsigned char)*psz--];
321 *p1 |= (phexdigit[(unsigned char)*psz--] << 4);
327 void SetHex(const std::string& str)
332 std::string ToString() const
337 unsigned char* begin()
339 return (unsigned char*)&pn[0];
344 return (unsigned char*)&pn[WIDTH];
352 uint64 Get64(int n=0) const
354 return pn[2*n] | (uint64)pn[2*n+1] << 32;
357 // unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
358 unsigned int GetSerializeSize(int nType, int nVersion) const
363 template<typename Stream>
364 // void Serialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION) const
365 void Serialize(Stream& s, int nType, int nVersion) const
367 s.write((char*)pn, sizeof(pn));
370 template<typename Stream>
371 // void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
372 void Unserialize(Stream& s, int nType, int nVersion)
374 s.read((char*)pn, sizeof(pn));
378 friend class uint160;
379 friend class uint256;
380 friend inline int Testuint256AdHoc(std::vector<std::string> vArg);
383 typedef base_uint<160> base_uint160;
384 typedef base_uint<256> base_uint256;
389 // uint160 and uint256 could be implemented as templates, but to keep
390 // compile errors and debugging cleaner, they're copy and pasted.
395 //////////////////////////////////////////////////////////////////////////////
400 /** 160-bit unsigned integer */
401 class uint160 : public base_uint160
404 typedef base_uint160 basetype;
408 for (int i = 0; i < WIDTH; i++)
412 uint160(const basetype& b)
414 for (int i = 0; i < WIDTH; i++)
418 uint160& operator=(const basetype& b)
420 for (int i = 0; i < WIDTH; i++)
427 pn[0] = (unsigned int)b;
428 pn[1] = (unsigned int)(b >> 32);
429 for (int i = 2; i < WIDTH; i++)
433 uint160& operator=(uint64 b)
435 pn[0] = (unsigned int)b;
436 pn[1] = (unsigned int)(b >> 32);
437 for (int i = 2; i < WIDTH; i++)
442 explicit uint160(const std::string& str)
447 explicit uint160(const std::vector<unsigned char>& vch)
449 if (vch.size() == sizeof(pn))
450 memcpy(pn, &vch[0], sizeof(pn));
456 inline bool operator==(const uint160& a, uint64 b) { return (base_uint160)a == b; }
457 inline bool operator!=(const uint160& a, uint64 b) { return (base_uint160)a != b; }
458 inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
459 inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
460 inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
461 inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
463 inline const uint160 operator^(const base_uint160& a, const base_uint160& b) { return uint160(a) ^= b; }
464 inline const uint160 operator&(const base_uint160& a, const base_uint160& b) { return uint160(a) &= b; }
465 inline const uint160 operator|(const base_uint160& a, const base_uint160& b) { return uint160(a) |= b; }
466 inline const uint160 operator+(const base_uint160& a, const base_uint160& b) { return uint160(a) += b; }
467 inline const uint160 operator-(const base_uint160& a, const base_uint160& b) { return uint160(a) -= b; }
469 inline bool operator<(const base_uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
470 inline bool operator<=(const base_uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
471 inline bool operator>(const base_uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
472 inline bool operator>=(const base_uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
473 inline bool operator==(const base_uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
474 inline bool operator!=(const base_uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
475 inline const uint160 operator^(const base_uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
476 inline const uint160 operator&(const base_uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
477 inline const uint160 operator|(const base_uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
478 inline const uint160 operator+(const base_uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
479 inline const uint160 operator-(const base_uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
481 inline bool operator<(const uint160& a, const base_uint160& b) { return (base_uint160)a < (base_uint160)b; }
482 inline bool operator<=(const uint160& a, const base_uint160& b) { return (base_uint160)a <= (base_uint160)b; }
483 inline bool operator>(const uint160& a, const base_uint160& b) { return (base_uint160)a > (base_uint160)b; }
484 inline bool operator>=(const uint160& a, const base_uint160& b) { return (base_uint160)a >= (base_uint160)b; }
485 inline bool operator==(const uint160& a, const base_uint160& b) { return (base_uint160)a == (base_uint160)b; }
486 inline bool operator!=(const uint160& a, const base_uint160& b) { return (base_uint160)a != (base_uint160)b; }
487 inline const uint160 operator^(const uint160& a, const base_uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
488 inline const uint160 operator&(const uint160& a, const base_uint160& b) { return (base_uint160)a & (base_uint160)b; }
489 inline const uint160 operator|(const uint160& a, const base_uint160& b) { return (base_uint160)a | (base_uint160)b; }
490 inline const uint160 operator+(const uint160& a, const base_uint160& b) { return (base_uint160)a + (base_uint160)b; }
491 inline const uint160 operator-(const uint160& a, const base_uint160& b) { return (base_uint160)a - (base_uint160)b; }
493 inline bool operator<(const uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
494 inline bool operator<=(const uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
495 inline bool operator>(const uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
496 inline bool operator>=(const uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
497 inline bool operator==(const uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
498 inline bool operator!=(const uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
499 inline const uint160 operator^(const uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
500 inline const uint160 operator&(const uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
501 inline const uint160 operator|(const uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
502 inline const uint160 operator+(const uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
503 inline const uint160 operator-(const uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
510 //////////////////////////////////////////////////////////////////////////////
515 /** 256-bit unsigned integer */
516 class uint256 : public base_uint256
519 typedef base_uint256 basetype;
523 for (int i = 0; i < WIDTH; i++)
527 uint256(const basetype& b)
529 for (int i = 0; i < WIDTH; i++)
533 uint256& operator=(const basetype& b)
535 for (int i = 0; i < WIDTH; i++)
542 pn[0] = (unsigned int)b;
543 pn[1] = (unsigned int)(b >> 32);
544 for (int i = 2; i < WIDTH; i++)
548 uint256& operator=(uint64 b)
550 pn[0] = (unsigned int)b;
551 pn[1] = (unsigned int)(b >> 32);
552 for (int i = 2; i < WIDTH; i++)
557 explicit uint256(const std::string& str)
562 explicit uint256(const std::vector<unsigned char>& vch)
564 if (vch.size() == sizeof(pn))
565 memcpy(pn, &vch[0], sizeof(pn));
571 inline bool operator==(const uint256& a, uint64 b) { return (base_uint256)a == b; }
572 inline bool operator!=(const uint256& a, uint64 b) { return (base_uint256)a != b; }
573 inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
574 inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
575 inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
576 inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
578 inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
579 inline const uint256 operator&(const base_uint256& a, const base_uint256& b) { return uint256(a) &= b; }
580 inline const uint256 operator|(const base_uint256& a, const base_uint256& b) { return uint256(a) |= b; }
581 inline const uint256 operator+(const base_uint256& a, const base_uint256& b) { return uint256(a) += b; }
582 inline const uint256 operator-(const base_uint256& a, const base_uint256& b) { return uint256(a) -= b; }
584 inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
585 inline bool operator<=(const base_uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
586 inline bool operator>(const base_uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
587 inline bool operator>=(const base_uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
588 inline bool operator==(const base_uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
589 inline bool operator!=(const base_uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
590 inline const uint256 operator^(const base_uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
591 inline const uint256 operator&(const base_uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
592 inline const uint256 operator|(const base_uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
593 inline const uint256 operator+(const base_uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
594 inline const uint256 operator-(const base_uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
596 inline bool operator<(const uint256& a, const base_uint256& b) { return (base_uint256)a < (base_uint256)b; }
597 inline bool operator<=(const uint256& a, const base_uint256& b) { return (base_uint256)a <= (base_uint256)b; }
598 inline bool operator>(const uint256& a, const base_uint256& b) { return (base_uint256)a > (base_uint256)b; }
599 inline bool operator>=(const uint256& a, const base_uint256& b) { return (base_uint256)a >= (base_uint256)b; }
600 inline bool operator==(const uint256& a, const base_uint256& b) { return (base_uint256)a == (base_uint256)b; }
601 inline bool operator!=(const uint256& a, const base_uint256& b) { return (base_uint256)a != (base_uint256)b; }
602 inline const uint256 operator^(const uint256& a, const base_uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
603 inline const uint256 operator&(const uint256& a, const base_uint256& b) { return (base_uint256)a & (base_uint256)b; }
604 inline const uint256 operator|(const uint256& a, const base_uint256& b) { return (base_uint256)a | (base_uint256)b; }
605 inline const uint256 operator+(const uint256& a, const base_uint256& b) { return (base_uint256)a + (base_uint256)b; }
606 inline const uint256 operator-(const uint256& a, const base_uint256& b) { return (base_uint256)a - (base_uint256)b; }
608 inline bool operator<(const uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
609 inline bool operator<=(const uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
610 inline bool operator>(const uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
611 inline bool operator>=(const uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
612 inline bool operator==(const uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
613 inline bool operator!=(const uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
614 inline const uint256 operator^(const uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
615 inline const uint256 operator&(const uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
616 inline const uint256 operator|(const uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
617 inline const uint256 operator+(const uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
618 inline const uint256 operator-(const uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
631 inline int Testuint256AdHoc(std::vector<std::string> vArg)
636 printf("%s\n", g.ToString().c_str());
637 g--; printf("g--\n");
638 printf("%s\n", g.ToString().c_str());
639 g--; printf("g--\n");
640 printf("%s\n", g.ToString().c_str());
641 g++; printf("g++\n");
642 printf("%s\n", g.ToString().c_str());
643 g++; printf("g++\n");
644 printf("%s\n", g.ToString().c_str());
645 g++; printf("g++\n");
646 printf("%s\n", g.ToString().c_str());
647 g++; printf("g++\n");
648 printf("%s\n", g.ToString().c_str());
654 printf("%s\n", a.ToString().c_str());
657 printf("b undefined\n");
658 printf("%s\n", b.ToString().c_str());
663 printf("%s\n", a.ToString().c_str());
668 printf("%s\n", a.ToString().c_str());
676 printf("a %s\n", a.ToString().c_str());
678 a = a | b | (uint256)0x1000;
681 printf("a %s\n", a.ToString().c_str());
682 printf("b %s\n", b.ToString().c_str());
687 printf("%s\n", a.ToString().c_str());
689 printf("%s\n", a.ToString().c_str());
691 printf("%s\n", a.ToString().c_str());
693 printf("%s\n", a.ToString().c_str());
695 printf("%s\n", a.ToString().c_str());
698 printf("%s\n", a.ToString().c_str());
700 printf("%s\n", a.ToString().c_str());
702 printf("%s\n", a.ToString().c_str());
704 printf("%s\n", d.ToString().c_str());
705 printf("%s\n", a.ToString().c_str());
707 printf("%s\n", a.ToString().c_str());
709 printf("%s\n", a.ToString().c_str());
713 printf("%s\n", d.ToString().c_str());
714 for (int i = uint256::WIDTH-1; i >= 0; i--) printf("%08x", d.pn[i]); printf("\n");
718 printf("%s\n", neg.ToString().c_str());
721 uint256 e = uint256("0xABCDEF123abcdef12345678909832180000011111111");
723 printf("%s\n", e.ToString().c_str());
727 uint256 x1 = uint256("0xABCDEF123abcdef12345678909832180000011111111");
729 printf("%s\n", x1.ToString().c_str());
730 for (int i = 0; i < 270; i += 4)
733 printf("%s\n", x2.ToString().c_str());
737 printf("%s\n", x1.ToString().c_str());
738 for (int i = 0; i < 270; i += 4)
742 printf("%s\n", x2.ToString().c_str());
746 for (int i = 0; i < 100; i++)
748 uint256 k = (~uint256(0) >> i);
749 printf("%s\n", k.ToString().c_str());
752 for (int i = 0; i < 100; i++)
754 uint256 k = (~uint256(0) << i);
755 printf("%s\n", k.ToString().c_str());