1 // Copyright (c) 2009-2010 Satoshi Nakamoto
2 // Copyright (c) 2011 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
15 #if defined(_MSC_VER) || defined(__BORLANDC__)
16 typedef __int64 int64;
17 typedef unsigned __int64 uint64;
19 typedef long long int64;
20 typedef unsigned long long uint64;
22 #if defined(_MSC_VER) && _MSC_VER < 1300
23 #define for if (false) ; else for
27 inline int Testuint256AdHoc(std::vector<std::string> vArg);
31 // We have to keep a separate base class without constructors
32 // so the compiler will let us use it in a union
33 template<unsigned int BITS>
37 enum { WIDTH=BITS/32 };
38 unsigned int pn[WIDTH];
41 bool operator!() const
43 for (int i = 0; i < WIDTH; i++)
49 const base_uint operator~() const
52 for (int i = 0; i < WIDTH; i++)
57 const base_uint operator-() const
60 for (int i = 0; i < WIDTH; i++)
67 base_uint& operator=(uint64 b)
69 pn[0] = (unsigned int)b;
70 pn[1] = (unsigned int)(b >> 32);
71 for (int i = 2; i < WIDTH; i++)
76 base_uint& operator^=(const base_uint& b)
78 for (int i = 0; i < WIDTH; i++)
83 base_uint& operator&=(const base_uint& b)
85 for (int i = 0; i < WIDTH; i++)
90 base_uint& operator|=(const base_uint& b)
92 for (int i = 0; i < WIDTH; i++)
97 base_uint& operator^=(uint64 b)
99 pn[0] ^= (unsigned int)b;
100 pn[1] ^= (unsigned int)(b >> 32);
104 base_uint& operator|=(uint64 b)
106 pn[0] |= (unsigned int)b;
107 pn[1] |= (unsigned int)(b >> 32);
111 base_uint& operator<<=(unsigned int shift)
114 for (int i = 0; i < WIDTH; i++)
118 for (int i = 0; i < WIDTH; i++)
120 if (i+k+1 < WIDTH && shift != 0)
121 pn[i+k+1] |= (a.pn[i] >> (32-shift));
123 pn[i+k] |= (a.pn[i] << shift);
128 base_uint& operator>>=(unsigned int shift)
131 for (int i = 0; i < WIDTH; i++)
135 for (int i = 0; i < WIDTH; i++)
137 if (i-k-1 >= 0 && shift != 0)
138 pn[i-k-1] |= (a.pn[i] << (32-shift));
140 pn[i-k] |= (a.pn[i] >> shift);
145 base_uint& operator+=(const base_uint& b)
148 for (int i = 0; i < WIDTH; i++)
150 uint64 n = carry + pn[i] + b.pn[i];
151 pn[i] = n & 0xffffffff;
157 base_uint& operator-=(const base_uint& b)
163 base_uint& operator+=(uint64 b64)
171 base_uint& operator-=(uint64 b64)
180 base_uint& operator++()
184 while (++pn[i] == 0 && i < WIDTH-1)
189 const base_uint operator++(int)
192 const base_uint ret = *this;
197 base_uint& operator--()
201 while (--pn[i] == -1 && i < WIDTH-1)
206 const base_uint operator--(int)
209 const base_uint ret = *this;
215 friend inline bool operator<(const base_uint& a, const base_uint& b)
217 for (int i = base_uint::WIDTH-1; i >= 0; i--)
219 if (a.pn[i] < b.pn[i])
221 else if (a.pn[i] > b.pn[i])
227 friend inline bool operator<=(const base_uint& a, const base_uint& b)
229 for (int i = base_uint::WIDTH-1; i >= 0; i--)
231 if (a.pn[i] < b.pn[i])
233 else if (a.pn[i] > b.pn[i])
239 friend inline bool operator>(const base_uint& a, const base_uint& b)
241 for (int i = base_uint::WIDTH-1; i >= 0; i--)
243 if (a.pn[i] > b.pn[i])
245 else if (a.pn[i] < b.pn[i])
251 friend inline bool operator>=(const base_uint& a, const base_uint& b)
253 for (int i = base_uint::WIDTH-1; i >= 0; i--)
255 if (a.pn[i] > b.pn[i])
257 else if (a.pn[i] < b.pn[i])
263 friend inline bool operator==(const base_uint& a, const base_uint& b)
265 for (int i = 0; i < base_uint::WIDTH; i++)
266 if (a.pn[i] != b.pn[i])
271 friend inline bool operator==(const base_uint& a, uint64 b)
273 if (a.pn[0] != (unsigned int)b)
275 if (a.pn[1] != (unsigned int)(b >> 32))
277 for (int i = 2; i < base_uint::WIDTH; i++)
283 friend inline bool operator!=(const base_uint& a, const base_uint& b)
288 friend inline bool operator!=(const base_uint& a, uint64 b)
295 std::string GetHex() const
297 char psz[sizeof(pn)*2 + 1];
298 for (unsigned int i = 0; i < sizeof(pn); i++)
299 sprintf(psz + i*2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]);
300 return std::string(psz, psz + sizeof(pn)*2);
303 void SetHex(const char* psz)
305 for (int i = 0; i < WIDTH; i++)
308 // skip leading spaces
309 while (isspace(*psz))
313 if (psz[0] == '0' && tolower(psz[1]) == 'x')
316 // hex string to uint
317 static 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 };
318 const char* pbegin = psz;
319 while (phexdigit[(unsigned char)*psz] || *psz == '0')
322 unsigned char* p1 = (unsigned char*)pn;
323 unsigned char* pend = p1 + WIDTH * 4;
324 while (psz >= pbegin && p1 < pend)
326 *p1 = phexdigit[(unsigned char)*psz--];
329 *p1 |= (phexdigit[(unsigned char)*psz--] << 4);
335 void SetHex(const std::string& str)
340 std::string ToString() const
345 unsigned char* begin()
347 return (unsigned char*)&pn[0];
352 return (unsigned char*)&pn[WIDTH];
361 unsigned int GetSerializeSize(int nType=0, int nVersion=VERSION) const
366 template<typename Stream>
367 void Serialize(Stream& s, int nType=0, int nVersion=VERSION) const
369 s.write((char*)pn, sizeof(pn));
372 template<typename Stream>
373 void Unserialize(Stream& s, int nType=0, int nVersion=VERSION)
375 s.read((char*)pn, sizeof(pn));
379 friend class uint160;
380 friend class uint256;
381 friend inline int Testuint256AdHoc(std::vector<std::string> vArg);
384 typedef base_uint<160> base_uint160;
385 typedef base_uint<256> base_uint256;
390 // uint160 and uint256 could be implemented as templates, but to keep
391 // compile errors and debugging cleaner, they're copy and pasted.
396 //////////////////////////////////////////////////////////////////////////////
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 class uint256 : public base_uint256
518 typedef base_uint256 basetype;
522 for (int i = 0; i < WIDTH; i++)
526 uint256(const basetype& b)
528 for (int i = 0; i < WIDTH; i++)
532 uint256& operator=(const basetype& b)
534 for (int i = 0; i < WIDTH; i++)
541 pn[0] = (unsigned int)b;
542 pn[1] = (unsigned int)(b >> 32);
543 for (int i = 2; i < WIDTH; i++)
547 uint256& operator=(uint64 b)
549 pn[0] = (unsigned int)b;
550 pn[1] = (unsigned int)(b >> 32);
551 for (int i = 2; i < WIDTH; i++)
556 explicit uint256(const std::string& str)
561 explicit uint256(const std::vector<unsigned char>& vch)
563 if (vch.size() == sizeof(pn))
564 memcpy(pn, &vch[0], sizeof(pn));
570 inline bool operator==(const uint256& a, uint64 b) { return (base_uint256)a == b; }
571 inline bool operator!=(const uint256& a, uint64 b) { return (base_uint256)a != b; }
572 inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
573 inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
574 inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
575 inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
577 inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
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; }
583 inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)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 const uint256 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; }
595 inline bool operator<(const uint256& a, const base_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 const uint256 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; }
607 inline bool operator<(const uint256& a, const 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 const uint256 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; }
630 inline int Testuint256AdHoc(std::vector<std::string> vArg)
635 printf("%s\n", g.ToString().c_str());
636 g--; printf("g--\n");
637 printf("%s\n", g.ToString().c_str());
638 g--; printf("g--\n");
639 printf("%s\n", g.ToString().c_str());
640 g++; printf("g++\n");
641 printf("%s\n", g.ToString().c_str());
642 g++; printf("g++\n");
643 printf("%s\n", g.ToString().c_str());
644 g++; printf("g++\n");
645 printf("%s\n", g.ToString().c_str());
646 g++; printf("g++\n");
647 printf("%s\n", g.ToString().c_str());
653 printf("%s\n", a.ToString().c_str());
656 printf("b undefined\n");
657 printf("%s\n", b.ToString().c_str());
662 printf("%s\n", a.ToString().c_str());
667 printf("%s\n", a.ToString().c_str());
675 printf("a %s\n", a.ToString().c_str());
677 a = a | b | (uint256)0x1000;
680 printf("a %s\n", a.ToString().c_str());
681 printf("b %s\n", b.ToString().c_str());
686 printf("%s\n", a.ToString().c_str());
688 printf("%s\n", a.ToString().c_str());
690 printf("%s\n", a.ToString().c_str());
692 printf("%s\n", a.ToString().c_str());
694 printf("%s\n", a.ToString().c_str());
697 printf("%s\n", a.ToString().c_str());
699 printf("%s\n", a.ToString().c_str());
701 printf("%s\n", a.ToString().c_str());
703 printf("%s\n", d.ToString().c_str());
704 printf("%s\n", a.ToString().c_str());
706 printf("%s\n", a.ToString().c_str());
708 printf("%s\n", a.ToString().c_str());
712 printf("%s\n", d.ToString().c_str());
713 for (int i = uint256::WIDTH-1; i >= 0; i--) printf("%08x", d.pn[i]); printf("\n");
717 printf("%s\n", neg.ToString().c_str());
720 uint256 e = uint256("0xABCDEF123abcdef12345678909832180000011111111");
722 printf("%s\n", e.ToString().c_str());
726 uint256 x1 = uint256("0xABCDEF123abcdef12345678909832180000011111111");
728 printf("%s\n", x1.ToString().c_str());
729 for (int i = 0; i < 270; i += 4)
732 printf("%s\n", x2.ToString().c_str());
736 printf("%s\n", x1.ToString().c_str());
737 for (int i = 0; i < 270; i += 4)
741 printf("%s\n", x2.ToString().c_str());
745 for (int i = 0; i < 100; i++)
747 uint256 k = (~uint256(0) >> i);
748 printf("%s\n", k.ToString().c_str());
751 for (int i = 0; i < 100; i++)
753 uint256 k = (~uint256(0) << i);
754 printf("%s\n", k.ToString().c_str());