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
10 #include "serialize.h"
17 inline int Testuint256AdHoc(std::vector<std::string> vArg);
21 // We have to keep a separate base class without constructors
22 // so the compiler will let us use it in a union
23 template<unsigned int BITS>
27 enum { WIDTH=BITS/32 };
28 unsigned int pn[WIDTH];
31 bool operator!() const
33 for (int i = 0; i < WIDTH; i++)
39 const base_uint operator~() const
42 for (int i = 0; i < WIDTH; i++)
47 const base_uint operator-() const
50 for (int i = 0; i < WIDTH; i++)
57 base_uint& operator=(uint64_t b)
59 pn[0] = (unsigned int)b;
60 pn[1] = (unsigned int)(b >> 32);
61 for (int i = 2; i < WIDTH; i++)
66 base_uint& operator^=(const base_uint& b)
68 for (int i = 0; i < WIDTH; i++)
73 base_uint& operator&=(const base_uint& b)
75 for (int i = 0; i < WIDTH; i++)
80 base_uint& operator|=(const base_uint& b)
82 for (int i = 0; i < WIDTH; i++)
87 base_uint& operator^=(uint64_t b)
89 pn[0] ^= (unsigned int)b;
90 pn[1] ^= (unsigned int)(b >> 32);
94 base_uint& operator&=(uint64_t b)
96 pn[0] &= (unsigned int)b;
97 pn[1] &= (unsigned int)(b >> 32);
101 base_uint& operator|=(uint64_t b)
103 pn[0] |= (unsigned int)b;
104 pn[1] |= (unsigned int)(b >> 32);
108 base_uint& operator<<=(unsigned int shift)
111 for (int i = 0; i < WIDTH; i++)
115 for (int i = 0; i < WIDTH; i++)
117 if (i+k+1 < WIDTH && shift != 0)
118 pn[i+k+1] |= (a.pn[i] >> (32-shift));
120 pn[i+k] |= (a.pn[i] << shift);
125 base_uint& operator>>=(unsigned int shift)
128 for (int i = 0; i < WIDTH; i++)
132 for (int i = 0; i < WIDTH; i++)
134 if (i-k-1 >= 0 && shift != 0)
135 pn[i-k-1] |= (a.pn[i] << (32-shift));
137 pn[i-k] |= (a.pn[i] >> shift);
142 base_uint& operator+=(const base_uint& b)
145 for (int i = 0; i < WIDTH; i++)
147 uint64_t n = carry + pn[i] + b.pn[i];
148 pn[i] = n & 0xffffffff;
154 base_uint& operator-=(const base_uint& b)
160 base_uint& operator+=(uint64_t b64)
168 base_uint& operator-=(uint64_t b64)
177 base_uint& operator++()
181 while (++pn[i] == 0 && i < WIDTH-1)
186 const base_uint operator++(int)
189 const base_uint ret = *this;
194 base_uint& operator--()
198 while (--pn[i] == -1 && i < WIDTH-1)
203 const base_uint operator--(int)
206 const base_uint ret = *this;
212 friend inline bool operator<(const base_uint& a, const base_uint& b)
214 for (int i = base_uint::WIDTH-1; i >= 0; i--)
216 if (a.pn[i] < b.pn[i])
218 else if (a.pn[i] > b.pn[i])
224 friend inline bool operator<=(const base_uint& a, const base_uint& b)
226 for (int i = base_uint::WIDTH-1; i >= 0; i--)
228 if (a.pn[i] < b.pn[i])
230 else if (a.pn[i] > b.pn[i])
236 friend inline bool operator>(const base_uint& a, const base_uint& b)
238 for (int i = base_uint::WIDTH-1; i >= 0; i--)
240 if (a.pn[i] > b.pn[i])
242 else if (a.pn[i] < b.pn[i])
248 friend inline bool operator>=(const base_uint& a, const base_uint& b)
250 for (int i = base_uint::WIDTH-1; i >= 0; i--)
252 if (a.pn[i] > b.pn[i])
254 else if (a.pn[i] < b.pn[i])
260 friend inline bool operator==(const base_uint& a, const base_uint& b)
262 for (int i = 0; i < base_uint::WIDTH; i++)
263 if (a.pn[i] != b.pn[i])
268 friend inline bool operator==(const base_uint& a, uint64_t b)
270 if (a.pn[0] != (unsigned int)b)
272 if (a.pn[1] != (unsigned int)(b >> 32))
274 for (int i = 2; i < base_uint::WIDTH; i++)
280 friend inline bool operator!=(const base_uint& a, const base_uint& b)
285 friend inline bool operator!=(const base_uint& a, uint64_t b)
292 std::string GetHex() const
294 char psz[sizeof(pn)*2 + 1];
295 for (int i = 0; i < sizeof(pn); i++)
296 sprintf(psz + i*2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]);
297 return std::string(psz, psz + sizeof(pn)*2);
300 void SetHex(const char* psz)
302 for (int i = 0; i < WIDTH; i++)
305 // skip leading spaces
306 while (isspace(*psz))
310 if (psz[0] == '0' && tolower(psz[1]) == 'x')
313 // hex string to uint
314 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 };
315 const char* pbegin = psz;
316 while (phexdigit[*psz] || *psz == '0')
319 unsigned char* p1 = (unsigned char*)pn;
320 unsigned char* pend = p1 + WIDTH * 4;
321 while (psz >= pbegin && p1 < pend)
323 *p1 = phexdigit[(unsigned char)*psz--];
326 *p1 |= (phexdigit[(unsigned char)*psz--] << 4);
332 void SetHex(const std::string& str)
337 std::string ToString() const
342 unsigned char* begin()
344 return (unsigned char*)&pn[0];
349 return (unsigned char*)&pn[WIDTH];
358 unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
363 template<typename Stream>
364 void Serialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION) const
366 s.write((char*)pn, sizeof(pn));
369 template<typename Stream>
370 void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
372 s.read((char*)pn, sizeof(pn));
376 friend class uint160;
377 friend class uint256;
378 friend inline int Testuint256AdHoc(std::vector<std::string> vArg);
381 typedef base_uint<160> base_uint160;
382 typedef base_uint<256> base_uint256;
387 // uint160 and uint256 could be implemented as templates, but to keep
388 // compile errors and debugging cleaner, they're copy and pasted.
393 //////////////////////////////////////////////////////////////////////////////
398 class uint160 : public base_uint160
401 typedef base_uint160 basetype;
405 for (int i = 0; i < WIDTH; i++)
409 uint160(const basetype& b)
411 for (int i = 0; i < WIDTH; i++)
415 uint160& operator=(const basetype& b)
417 for (int i = 0; i < WIDTH; i++)
424 pn[0] = (unsigned int)b;
425 pn[1] = (unsigned int)(b >> 32);
426 for (int i = 2; i < WIDTH; i++)
430 uint160& operator=(uint64_t b)
432 pn[0] = (unsigned int)b;
433 pn[1] = (unsigned int)(b >> 32);
434 for (int i = 2; i < WIDTH; i++)
439 explicit uint160(const std::string& str)
444 explicit uint160(const std::vector<unsigned char>& vch)
446 if (vch.size() == sizeof(pn))
447 memcpy(pn, &vch[0], sizeof(pn));
453 inline bool operator==(const uint160& a, uint64_t b) { return (base_uint160)a == b; }
454 inline bool operator!=(const uint160& a, uint64_t b) { return (base_uint160)a != b; }
455 inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
456 inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
457 inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
458 inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
460 inline const uint160 operator^(const base_uint160& a, const base_uint160& b) { return uint160(a) ^= b; }
461 inline const uint160 operator&(const base_uint160& a, const base_uint160& b) { return uint160(a) &= b; }
462 inline const uint160 operator|(const base_uint160& a, const base_uint160& b) { return uint160(a) |= b; }
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; }
466 inline bool operator<(const base_uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
467 inline bool operator<=(const base_uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
468 inline bool operator>(const base_uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)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 const uint160 operator^(const base_uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
473 inline const uint160 operator&(const base_uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
474 inline const uint160 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; }
478 inline bool operator<(const uint160& a, const base_uint160& b) { return (base_uint160)a < (base_uint160)b; }
479 inline bool operator<=(const uint160& a, const base_uint160& b) { return (base_uint160)a <= (base_uint160)b; }
480 inline bool operator>(const uint160& a, const base_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 const uint160 operator^(const uint160& a, const base_uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
485 inline const uint160 operator&(const uint160& a, const base_uint160& b) { return (base_uint160)a & (base_uint160)b; }
486 inline const uint160 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; }
490 inline bool operator<(const uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
491 inline bool operator<=(const uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
492 inline bool operator>(const uint160& a, const 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 const uint160 operator^(const uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
497 inline const uint160 operator&(const uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
498 inline const uint160 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; }
507 //////////////////////////////////////////////////////////////////////////////
512 class uint256 : public base_uint256
515 typedef base_uint256 basetype;
519 for (int i = 0; i < WIDTH; i++)
523 uint256(const basetype& b)
525 for (int i = 0; i < WIDTH; i++)
529 uint256& operator=(const basetype& b)
531 for (int i = 0; i < WIDTH; i++)
538 pn[0] = (unsigned int)b;
539 pn[1] = (unsigned int)(b >> 32);
540 for (int i = 2; i < WIDTH; i++)
544 uint256& operator=(uint64_t b)
546 pn[0] = (unsigned int)b;
547 pn[1] = (unsigned int)(b >> 32);
548 for (int i = 2; i < WIDTH; i++)
553 explicit uint256(const std::string& str)
558 explicit uint256(const std::vector<unsigned char>& vch)
560 if (vch.size() == sizeof(pn))
561 memcpy(pn, &vch[0], sizeof(pn));
567 inline bool operator==(const uint256& a, uint64_t b) { return (base_uint256)a == b; }
568 inline bool operator!=(const uint256& a, uint64_t b) { return (base_uint256)a != b; }
569 inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
570 inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
571 inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
572 inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
574 inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
575 inline const uint256 operator&(const base_uint256& a, const base_uint256& b) { return uint256(a) &= b; }
576 inline const uint256 operator|(const base_uint256& a, const base_uint256& b) { return uint256(a) |= b; }
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; }
580 inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
581 inline bool operator<=(const base_uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
582 inline bool operator>(const base_uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)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 const uint256 operator^(const base_uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
587 inline const uint256 operator&(const base_uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
588 inline const uint256 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; }
592 inline bool operator<(const uint256& a, const base_uint256& b) { return (base_uint256)a < (base_uint256)b; }
593 inline bool operator<=(const uint256& a, const base_uint256& b) { return (base_uint256)a <= (base_uint256)b; }
594 inline bool operator>(const uint256& a, const base_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 const uint256 operator^(const uint256& a, const base_uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
599 inline const uint256 operator&(const uint256& a, const base_uint256& b) { return (base_uint256)a & (base_uint256)b; }
600 inline const uint256 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; }
604 inline bool operator<(const uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
605 inline bool operator<=(const uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
606 inline bool operator>(const uint256& a, const 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 const uint256 operator^(const uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
611 inline const uint256 operator&(const uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
612 inline const uint256 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; }
627 inline int Testuint256AdHoc(std::vector<std::string> vArg)
632 printf("%s\n", g.ToString().c_str());
633 g--; printf("g--\n");
634 printf("%s\n", g.ToString().c_str());
635 g--; printf("g--\n");
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());
650 printf("%s\n", a.ToString().c_str());
653 printf("b undefined\n");
654 printf("%s\n", b.ToString().c_str());
659 printf("%s\n", a.ToString().c_str());
664 printf("%s\n", a.ToString().c_str());
672 printf("a %s\n", a.ToString().c_str());
674 a = a | b | (uint256)0x1000;
677 printf("a %s\n", a.ToString().c_str());
678 printf("b %s\n", b.ToString().c_str());
683 printf("%s\n", a.ToString().c_str());
685 printf("%s\n", a.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());
694 printf("%s\n", a.ToString().c_str());
696 printf("%s\n", a.ToString().c_str());
698 printf("%s\n", a.ToString().c_str());
700 printf("%s\n", d.ToString().c_str());
701 printf("%s\n", a.ToString().c_str());
703 printf("%s\n", a.ToString().c_str());
705 printf("%s\n", a.ToString().c_str());
709 printf("%s\n", d.ToString().c_str());
710 for (int i = uint256::WIDTH-1; i >= 0; i--) printf("%08x", d.pn[i]); printf("\n");
714 printf("%s\n", neg.ToString().c_str());
717 uint256 e = uint256("0xABCDEF123abcdef12345678909832180000011111111");
719 printf("%s\n", e.ToString().c_str());
723 uint256 x1 = uint256("0xABCDEF123abcdef12345678909832180000011111111");
725 printf("%s\n", x1.ToString().c_str());
726 for (int i = 0; i < 270; i += 4)
729 printf("%s\n", x2.ToString().c_str());
733 printf("%s\n", x1.ToString().c_str());
734 for (int i = 0; i < 270; i += 4)
738 printf("%s\n", x2.ToString().c_str());
742 for (int i = 0; i < 100; i++)
744 uint256 k = (~uint256(0) >> i);
745 printf("%s\n", k.ToString().c_str());
748 for (int i = 0; i < 100; i++)
750 uint256 k = (~uint256(0) << i);
751 printf("%s\n", k.ToString().c_str());