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
15 typedef long long int64;
16 typedef unsigned long long uint64;
19 inline int Testuint256AdHoc(std::vector<std::string> vArg);
23 /** Base class without constructors for uint256 and uint160.
24 * This makes the compiler let u use it in a union.
26 template<unsigned int BITS>
30 enum { WIDTH=BITS/32 };
31 unsigned int pn[WIDTH];
34 bool operator!() const
36 for (int i = 0; i < WIDTH; i++)
42 const base_uint operator~() const
45 for (int i = 0; i < WIDTH; i++)
50 const base_uint operator-() const
53 for (int i = 0; i < WIDTH; i++)
60 base_uint& operator=(uint64 b)
62 pn[0] = (unsigned int)b;
63 pn[1] = (unsigned int)(b >> 32);
64 for (int i = 2; i < WIDTH; i++)
69 base_uint& operator^=(const base_uint& b)
71 for (int i = 0; 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^=(uint64 b)
92 pn[0] ^= (unsigned int)b;
93 pn[1] ^= (unsigned int)(b >> 32);
97 base_uint& operator|=(uint64 b)
99 pn[0] |= (unsigned int)b;
100 pn[1] |= (unsigned int)(b >> 32);
104 base_uint& operator<<=(unsigned int shift)
107 for (int i = 0; i < WIDTH; i++)
111 for (int i = 0; i < WIDTH; i++)
113 if (i+k+1 < WIDTH && shift != 0)
114 pn[i+k+1] |= (a.pn[i] >> (32-shift));
116 pn[i+k] |= (a.pn[i] << shift);
121 base_uint& operator>>=(unsigned int shift)
124 for (int i = 0; i < WIDTH; i++)
128 for (int i = 0; i < WIDTH; i++)
130 if (i-k-1 >= 0 && shift != 0)
131 pn[i-k-1] |= (a.pn[i] << (32-shift));
133 pn[i-k] |= (a.pn[i] >> shift);
138 base_uint& operator+=(const base_uint& b)
141 for (int i = 0; i < WIDTH; i++)
143 uint64 n = carry + pn[i] + b.pn[i];
144 pn[i] = n & 0xffffffff;
150 base_uint& operator-=(const base_uint& b)
156 base_uint& operator+=(uint64 b64)
164 base_uint& operator-=(uint64 b64)
173 base_uint& operator++()
177 while (++pn[i] == 0 && i < WIDTH-1)
182 const base_uint operator++(int)
185 const base_uint ret = *this;
190 base_uint& operator--()
194 while (--pn[i] == -1 && i < WIDTH-1)
199 const base_uint operator--(int)
202 const base_uint ret = *this;
208 friend inline bool operator<(const base_uint& a, const base_uint& b)
210 for (int i = base_uint::WIDTH-1; i >= 0; i--)
212 if (a.pn[i] < b.pn[i])
214 else if (a.pn[i] > b.pn[i])
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 = 0; i < base_uint::WIDTH; i++)
259 if (a.pn[i] != b.pn[i])
264 friend inline bool operator==(const base_uint& a, uint64 b)
266 if (a.pn[0] != (unsigned int)b)
268 if (a.pn[1] != (unsigned int)(b >> 32))
270 for (int i = 2; i < base_uint::WIDTH; i++)
276 friend inline bool operator!=(const base_uint& a, const base_uint& b)
281 friend inline bool operator!=(const base_uint& a, uint64 b)
288 std::string GetHex() const
290 char psz[sizeof(pn)*2 + 1];
291 for (unsigned int i = 0; i < sizeof(pn); i++)
292 sprintf(psz + i*2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]);
293 return std::string(psz, psz + sizeof(pn)*2);
296 void SetHex(const char* psz)
298 for (int i = 0; i < WIDTH; i++)
301 // skip leading spaces
302 while (isspace(*psz))
306 if (psz[0] == '0' && tolower(psz[1]) == 'x')
309 // hex string to uint
310 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 };
311 const char* pbegin = psz;
312 while (phexdigit[(unsigned char)*psz] || *psz == '0')
315 unsigned char* p1 = (unsigned char*)pn;
316 unsigned char* pend = p1 + WIDTH * 4;
317 while (psz >= pbegin && p1 < pend)
319 *p1 = phexdigit[(unsigned char)*psz--];
322 *p1 |= (phexdigit[(unsigned char)*psz--] << 4);
328 void SetHex(const std::string& str)
333 std::string ToString() const
338 unsigned char* begin()
340 return (unsigned char*)&pn[0];
345 return (unsigned char*)&pn[WIDTH];
353 uint64 Get64(int n=0) const
355 return pn[2*n] | (uint64)pn[2*n+1] << 32;
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 /** 160-bit unsigned integer */
399 class uint160 : public base_uint160
402 typedef base_uint160 basetype;
406 for (int i = 0; i < WIDTH; i++)
410 uint160(const basetype& b)
412 for (int i = 0; i < WIDTH; i++)
416 uint160& operator=(const basetype& b)
418 for (int i = 0; i < WIDTH; i++)
425 pn[0] = (unsigned int)b;
426 pn[1] = (unsigned int)(b >> 32);
427 for (int i = 2; i < WIDTH; i++)
431 uint160& operator=(uint64 b)
433 pn[0] = (unsigned int)b;
434 pn[1] = (unsigned int)(b >> 32);
435 for (int i = 2; i < WIDTH; i++)
440 explicit uint160(const std::string& str)
445 explicit uint160(const std::vector<unsigned char>& vch)
447 if (vch.size() == sizeof(pn))
448 memcpy(pn, &vch[0], sizeof(pn));
454 inline bool operator==(const uint160& a, uint64 b) { return (base_uint160)a == b; }
455 inline bool operator!=(const uint160& a, uint64 b) { return (base_uint160)a != b; }
456 inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
457 inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
458 inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
459 inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
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; }
465 inline const uint160 operator-(const base_uint160& a, const base_uint160& b) { return uint160(a) -= 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 bool 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; }
477 inline const uint160 operator-(const base_uint160& a, const 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 bool 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; }
489 inline const uint160 operator-(const uint160& a, const base_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 bool 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; }
501 inline const uint160 operator-(const uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
508 //////////////////////////////////////////////////////////////////////////////
513 /** 256-bit unsigned integer */
514 class uint256 : public base_uint256
517 typedef base_uint256 basetype;
521 for (int i = 0; i < WIDTH; i++)
525 uint256(const basetype& b)
527 for (int i = 0; i < WIDTH; i++)
531 uint256& operator=(const basetype& b)
533 for (int i = 0; i < WIDTH; i++)
540 pn[0] = (unsigned int)b;
541 pn[1] = (unsigned int)(b >> 32);
542 for (int i = 2; i < WIDTH; i++)
546 uint256& operator=(uint64 b)
548 pn[0] = (unsigned int)b;
549 pn[1] = (unsigned int)(b >> 32);
550 for (int i = 2; i < WIDTH; i++)
555 explicit uint256(const std::string& str)
560 explicit uint256(const std::vector<unsigned char>& vch)
562 if (vch.size() == sizeof(pn))
563 memcpy(pn, &vch[0], sizeof(pn));
569 inline bool operator==(const uint256& a, uint64 b) { return (base_uint256)a == b; }
570 inline bool operator!=(const uint256& a, uint64 b) { return (base_uint256)a != b; }
571 inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
572 inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
573 inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
574 inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
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; }
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; }
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 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 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; }
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; }
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 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 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; }
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; }
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 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 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; }
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; }
629 inline int Testuint256AdHoc(std::vector<std::string> vArg)
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());
645 g++; printf("g++\n");
646 printf("%s\n", g.ToString().c_str());
652 printf("%s\n", a.ToString().c_str());
655 printf("b undefined\n");
656 printf("%s\n", b.ToString().c_str());
661 printf("%s\n", a.ToString().c_str());
666 printf("%s\n", a.ToString().c_str());
674 printf("a %s\n", a.ToString().c_str());
676 a = a | b | (uint256)0x1000;
679 printf("a %s\n", a.ToString().c_str());
680 printf("b %s\n", b.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());
693 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", a.ToString().c_str());
702 printf("%s\n", d.ToString().c_str());
703 printf("%s\n", a.ToString().c_str());
705 printf("%s\n", a.ToString().c_str());
707 printf("%s\n", a.ToString().c_str());
711 printf("%s\n", d.ToString().c_str());
712 for (int i = uint256::WIDTH-1; i >= 0; i--) printf("%08x", d.pn[i]); printf("\n");
716 printf("%s\n", neg.ToString().c_str());
719 uint256 e = uint256("0xABCDEF123abcdef12345678909832180000011111111");
721 printf("%s\n", e.ToString().c_str());
725 uint256 x1 = uint256("0xABCDEF123abcdef12345678909832180000011111111");
727 printf("%s\n", x1.ToString().c_str());
728 for (int i = 0; i < 270; i += 4)
731 printf("%s\n", x2.ToString().c_str());
735 printf("%s\n", x1.ToString().c_str());
736 for (int i = 0; i < 270; i += 4)
740 printf("%s\n", x2.ToString().c_str());
744 for (int i = 0; i < 100; i++)
746 uint256 k = (~uint256(0) >> i);
747 printf("%s\n", k.ToString().c_str());
750 for (int i = 0; i < 100; i++)
752 uint256 k = (~uint256(0) << i);
753 printf("%s\n", k.ToString().c_str());