/* * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the Apache License 2.0 (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ #include #include "internal/cryptlib.h" #include "bn_lcl.h" int BN_lshift1(BIGNUM *r, const BIGNUM *a) { register BN_ULONG *ap, *rp, t, c; int i; bn_check_top(r); bn_check_top(a); if (r != a) { r->neg = a->neg; if (bn_wexpand(r, a->top + 1) == NULL) return 0; r->top = a->top; } else { if (bn_wexpand(r, a->top + 1) == NULL) return 0; } ap = a->d; rp = r->d; c = 0; for (i = 0; i < a->top; i++) { t = *(ap++); *(rp++) = ((t << 1) | c) & BN_MASK2; c = (t & BN_TBIT) ? 1 : 0; } if (c) { *rp = 1; r->top++; } bn_check_top(r); return 1; } int BN_rshift1(BIGNUM *r, const BIGNUM *a) { BN_ULONG *ap, *rp, t, c; int i, j; bn_check_top(r); bn_check_top(a); if (BN_is_zero(a)) { BN_zero(r); return 1; } i = a->top; ap = a->d; j = i - (ap[i - 1] == 1); if (a != r) { if (bn_wexpand(r, j) == NULL) return 0; r->neg = a->neg; } rp = r->d; t = ap[--i]; c = (t & 1) ? BN_TBIT : 0; if (t >>= 1) rp[i] = t; while (i > 0) { t = ap[--i]; rp[i] = ((t >> 1) & BN_MASK2) | c; c = (t & 1) ? BN_TBIT : 0; } r->top = j; if (!r->top) r->neg = 0; /* don't allow negative zero */ bn_check_top(r); return 1; } int BN_lshift(BIGNUM *r, const BIGNUM *a, int n) { int ret; if (n < 0) { BNerr(BN_F_BN_LSHIFT, BN_R_INVALID_SHIFT); return 0; } ret = bn_lshift_fixed_top(r, a, n); bn_correct_top(r); bn_check_top(r); return ret; } /* * In respect to shift factor the execution time is invariant of * |n % BN_BITS2|, but not |n / BN_BITS2|. Or in other words pre-condition * for constant-time-ness is |n < BN_BITS2| or |n / BN_BITS2| being * non-secret. */ int bn_lshift_fixed_top(BIGNUM *r, const BIGNUM *a, int n) { int i, nw; unsigned int lb, rb; BN_ULONG *t, *f; BN_ULONG l, m, rmask = 0; assert(n >= 0); bn_check_top(r); bn_check_top(a); nw = n / BN_BITS2; if (bn_wexpand(r, a->top + nw + 1) == NULL) return 0; if (a->top != 0) { lb = (unsigned int)n % BN_BITS2; rb = BN_BITS2 - lb; rb %= BN_BITS2; /* say no to undefined behaviour */ rmask = (BN_ULONG)0 - rb; /* rmask = 0 - (rb != 0) */ rmask |= rmask >> 8; f = &(a->d[0]); t = &(r->d[nw]); l = f[a->top - 1]; t[a->top] = (l >> rb) & rmask; for (i = a->top - 1; i > 0; i--) { m = l << lb; l = f[i - 1]; t[i] = (m | ((l >> rb) & rmask)) & BN_MASK2; } t[0] = (l << lb) & BN_MASK2; } else { /* shouldn't happen, but formally required */ r->d[nw] = 0; } if (nw != 0) memset(r->d, 0, sizeof(*t) * nw); r->neg = a->neg; r->top = a->top + nw + 1; r->flags |= BN_FLG_FIXED_TOP; return 1; } int BN_rshift(BIGNUM *r, const BIGNUM *a, int n) { int i, j, nw, lb, rb; BN_ULONG *t, *f; BN_ULONG l, tmp; bn_check_top(r); bn_check_top(a); if (n < 0) { BNerr(BN_F_BN_RSHIFT, BN_R_INVALID_SHIFT); return 0; } nw = n / BN_BITS2; rb = n % BN_BITS2; lb = BN_BITS2 - rb; if (nw >= a->top || a->top == 0) { BN_zero(r); return 1; } i = (BN_num_bits(a) - n + (BN_BITS2 - 1)) / BN_BITS2; if (r != a) { if (bn_wexpand(r, i) == NULL) return 0; r->neg = a->neg; } else { if (n == 0) return 1; /* or the copying loop will go berserk */ } f = &(a->d[nw]); t = r->d; j = a->top - nw; r->top = i; if (rb == 0) { for (i = j; i != 0; i--) *(t++) = *(f++); } else { l = *(f++); for (i = j - 1; i != 0; i--) { tmp = (l >> rb) & BN_MASK2; l = *(f++); *(t++) = (tmp | (l << lb)) & BN_MASK2; } if ((l = (l >> rb) & BN_MASK2)) *(t) = l; } if (!r->top) r->neg = 0; /* don't allow negative zero */ bn_check_top(r); return 1; } /* * In respect to shift factor the execution time is invariant of * |n % BN_BITS2|, but not |n / BN_BITS2|. Or in other words pre-condition * for constant-time-ness for sufficiently[!] zero-padded inputs is * |n < BN_BITS2| or |n / BN_BITS2| being non-secret. */ int bn_rshift_fixed_top(BIGNUM *r, const BIGNUM *a, int n) { int i, top, nw; unsigned int lb, rb; BN_ULONG *t, *f; BN_ULONG l, m, mask; bn_check_top(r); bn_check_top(a); assert(n >= 0); nw = n / BN_BITS2; if (nw >= a->top) { /* shouldn't happen, but formally required */ BN_zero(r); return 1; } rb = (unsigned int)n % BN_BITS2; lb = BN_BITS2 - rb; lb %= BN_BITS2; /* say no to undefined behaviour */ mask = (BN_ULONG)0 - lb; /* mask = 0 - (lb != 0) */ mask |= mask >> 8; top = a->top - nw; if (r != a && bn_wexpand(r, top) == NULL) return 0; t = &(r->d[0]); f = &(a->d[nw]); l = f[0]; for (i = 0; i < top - 1; i++) { m = f[i + 1]; t[i] = (l >> rb) | ((m << lb) & mask); l = m; } t[i] = l >> rb; r->neg = a->neg; r->top = top; r->flags |= BN_FLG_FIXED_TOP; return 1; }