基于C语言的RSA加解密系统

/* mini-gmp, a minimalistic implementation of a GNU GMP subset. Contributed to the GNU project by Niels Möller Copyright 1991-1997, 1999-2019 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of either: * the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. or * the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. or both in parallel, as here. The GNU MP Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received copies of the GNU General Public License and the GNU Lesser General Public License along with the GNU MP Library. If not, see https://www.gnu.org/licenses/. */ /* NOTE: All functions in this file which are not declared in mini-gmp.h are internal, and are not intended to be compatible neither with GMP nor with future versions of mini-gmp. */ /* Much of the material copied from GMP files, including: gmp-impl.h, longlong.h, mpn/generic/add_n.c, mpn/generic/addmul_1.c, mpn/generic/lshift.c, mpn/generic/mul_1.c, mpn/generic/mul_basecase.c, mpn/generic/rshift.c, mpn/generic/sbpi1_div_qr.c, mpn/generic/sub_n.c, mpn/generic/submul_1.c. */ #include <assert.h> #include <ctype.h> #include <limits.h> #include <stdio.h> #include <stdlib.h> #include <string.h> #include "mini-gmp.h" #if !defined(MINI_GMP_DONT_USE_FLOAT_H) #include <float.h> #endif  /* Macros */ #define GMP_LIMB_BITS (sizeof(mp_limb_t) * CHAR_BIT) #define GMP_LIMB_MAX ((mp_limb_t) ~ (mp_limb_t) 0) #define GMP_LIMB_HIGHBIT ((mp_limb_t) 1 << (GMP_LIMB_BITS - 1)) #define GMP_HLIMB_BIT ((mp_limb_t) 1 << (GMP_LIMB_BITS / 2)) #define GMP_LLIMB_MASK (GMP_HLIMB_BIT - 1) #define GMP_ULONG_BITS (sizeof(unsigned long) * CHAR_BIT) #define GMP_ULONG_HIGHBIT ((unsigned long) 1 << (GMP_ULONG_BITS - 1)) #define GMP_ABS(x) ((x) >= 0 ? (x) : -(x)) #define GMP_NEG_CAST(T,x) (-((T)((x) + 1) - 1)) #define GMP_MIN(a, b) ((a) < (b) ? (a) : (b)) #define GMP_MAX(a, b) ((a) > (b) ? (a) : (b)) #define GMP_CMP(a,b) (((a) > (b)) - ((a) < (b))) #if defined(DBL_MANT_DIG) && FLT_RADIX == 2 #define GMP_DBL_MANT_BITS DBL_MANT_DIG #else #define GMP_DBL_MANT_BITS (53) #endif /* Return non-zero if xp,xsize and yp,ysize overlap. If xp+xsize<=yp there's no overlap, or if yp+ysize<=xp there's no overlap. If both these are false, there's an overlap. */ #define GMP_MPN_OVERLAP_P(xp, xsize, yp, ysize) \ ((xp) + (xsize) > (yp) && (yp) + (ysize) > (xp)) #define gmp_assert_nocarry(x) do { \ mp_limb_t __cy = (x); \ assert (__cy == 0); \ } while (0) #define gmp_clz(count, x) do { \ mp_limb_t __clz_x = (x); \ unsigned __clz_c = 0; \ int LOCAL_SHIFT_BITS = 8; \ if (GMP_LIMB_BITS > LOCAL_SHIFT_BITS) \ for (; \ (__clz_x & ((mp_limb_t) 0xff << (GMP_LIMB_BITS - 8))) == 0; \ __clz_c += 8) \ { __clz_x <<= LOCAL_SHIFT_BITS; } \ for (; (__clz_x & GMP_LIMB_HIGHBIT) == 0; __clz_c++) \ __clz_x <<= 1; \ (count) = __clz_c; \ } while (0) #define gmp_ctz(count, x) do { \ mp_limb_t __ctz_x = (x); \ unsigned __ctz_c = 0; \ gmp_clz (__ctz_c, __ctz_x & - __ctz_x); \ (count) = GMP_LIMB_BITS - 1 - __ctz_c; \ } while (0) #define gmp_add_ssaaaa(sh, sl, ah, al, bh, bl) \ do { \ mp_limb_t __x; \ __x = (al) + (bl); \ (sh) = (ah) + (bh) + (__x < (al)); \ (sl) = __x; \ } while (0) #define gmp_sub_ddmmss(sh, sl, ah, al, bh, bl) \ do { \ mp_limb_t __x; \ __x = (al) - (bl); \ (sh) = (ah) - (bh) - ((al) < (bl)); \ (sl) = __x; \ } while (0) #define gmp_umul_ppmm(w1, w0, u, v) \ do { \ int LOCAL_GMP_LIMB_BITS = GMP_LIMB_BITS; \ if (sizeof(unsigned int) * CHAR_BIT >= 2 * GMP_LIMB_BITS) \ { \ unsigned int __ww = (unsigned int) (u) * (v); \ w0 = (mp_limb_t) __ww; \ w1 = (mp_limb_t) (__ww >> LOCAL_GMP_LIMB_BITS); \ } \ else if (GMP_ULONG_BITS >= 2 * GMP_LIMB_BITS) \ { \ unsigned long int __ww = (unsigned long int) (u) * (v); \ w0 = (mp_limb_t) __ww; \ w1 = (mp_limb_t) (__ww >> LOCAL_GMP_LIMB_BITS); \ } \ else { \ mp_limb_t __x0, __x1, __x2, __x3; \ unsigned __ul, __vl, __uh, __vh; \ mp_limb_t __u = (u), __v = (v); \ \ __ul = __u & GMP_LLIMB_MASK; \ __uh = __u >> (GMP_LIMB_BITS / 2); \ __vl = __v & GMP_LLIMB_MASK; \ __vh = __v >> (GMP_LIMB_BITS / 2); \ \ __x0 = (mp_limb_t) __ul * __vl; \ __x1 = (mp_limb_t) __ul * __vh; \ __x2 = (mp_limb_t) __uh * __vl; \ __x3 = (mp_limb_t) __uh * __vh; \ \ __x1 += __x0 >> (GMP_LIMB_BITS / 2);/* this can't give carry */ \ __x1 += __x2; /* but this indeed can */ \ if (__x1 < __x2) /* did we get it? */ \ __x3 += GMP_HLIMB_BIT; /* yes, add it in the proper pos. */ \ \ (w1) = __x3 + (__x1 >> (GMP_LIMB_BITS / 2)); \ (w0) = (__x1 << (GMP_LIMB_BITS / 2)) + (__x0 & GMP_LLIMB_MASK); \ } \ } while (0) #define gmp_udiv_qrnnd_preinv(q, r, nh, nl, d, di) \ do { \ mp_limb_t _qh, _ql, _r, _mask; \ gmp_umul_ppmm (_qh, _ql, (nh), (di)); \ gmp_add_ssaaaa (_qh, _ql, _qh, _ql, (nh) + 1, (nl)); \ _r = (nl) - _qh * (d); \ _mask = -(mp_limb_t) (_r > _ql); /* both > and >= are OK */ \ _qh += _mask; \ _r += _mask & (d); \ if (_r >= (d)) \ { \ _r -= (d); \ _qh++; \ } \ \ (r) = _r; \ (q) = _qh; \ } while (0) #define gmp_udiv_qr_3by2(q, r1, r0, n2, n1, n0, d1, d0, dinv) \ do { \ mp_limb_t _q0, _t1, _t0, _mask; \ gmp_umul_ppmm ((q), _q0, (n2), (dinv)); \ gmp_add_ssaaaa ((q), _q0, (q), _q0, (n2), (n1)); \ \ /* Compute the two most significant limbs of n - q'd */ \ (r1) = (n1) - (d1) * (q); \ gmp_sub_ddmmss ((r1), (r0), (r1), (n0), (d1), (d0)); \ gmp_umul_ppmm (_t1, _t0, (d0), (q)); \ gmp_sub_ddmmss ((r1), (r0), (r1), (r0), _t1, _t0); \ (q)++; \ \ /* Conditionally adjust q and the remainders */ \ _mask = - (mp_limb_t) ((r1) >= _q0); \ (q) += _mask; \ gmp_add_ssaaaa ((r1), (r0), (r1), (r0), _mask & (d1), _mask & (d0)); \ if ((r1) >= (d1)) \ { \ if ((r1) > (d1) || (r0) >= (d0)) \ { \ (q)++; \ gmp_sub_ddmmss ((r1), (r0), (r1), (r0), (d1), (d0)); \ } \ } \ } while (0) /* Swap macros. */ #define MP_LIMB_T_SWAP(x, y) \ do { \ mp_limb_t __mp_limb_t_swap__tmp = (x); \ (x) = (y); \ (y) = __mp_limb_t_swap__tmp; \ } while (0) #define MP_SIZE_T_SWAP(x, y) \ do { \ mp_size_t __mp_size_t_swap__tmp = (x); \ (x) = (y); \ (y) = __mp_size_t_swap__tmp; \ } while (0) #define MP_BITCNT_T_SWAP(x,y) \ do { \ mp_bitcnt_t __mp_bitcnt_t_swap__tmp = (x); \ (x) = (y); \ (y) = __mp_bitcnt_t_swap__tmp; \ } while (0) #define MP_PTR_SWAP(x, y) \ do { \ mp_ptr __mp_ptr_swap__tmp = (x); \ (x) = (y); \ (y) = __mp_ptr_swap__tmp; \ } while (0) #define MP_SRCPTR_SWAP(x, y) \ do { \ mp_srcptr __mp_srcptr_swap__tmp = (x); \ (x) = (y);