/* mpn_set_str (mp_ptr res_ptr, const char *str, size_t str_len, int base) -- Convert a STR_LEN long base BASE byte string pointed to by STR to a limb vector pointed to by RES_PTR. Return the number of limbs in RES_PTR. Copyright 1991, 1992, 1993, 1994, 1996, 2000, 2001, 2002 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 the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. 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 Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MP Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include "gmp.h" #include "gmp-impl.h" static mp_size_t convert_blocks __GMP_PROTO ((mp_ptr, const unsigned char *, size_t, int)); /* When to switch to sub-quadratic code. This counts characters/digits in the input string, not limbs as most other *_THRESHOLD. */ #ifndef SET_STR_THRESHOLD #define SET_STR_THRESHOLD 4000 #endif /* Don't define this to anything but 1 for now. In order to make other values work well, either the convert_blocks function should be generalized to handle larger blocks than chars_per_limb, or the basecase code should be broken out of the main function. Also note that this must be a power of 2. */ #ifndef SET_STR_BLOCK_SIZE #define SET_STR_BLOCK_SIZE 1 /* Must be a power of 2. */ #endif /* This check interferes with expression based values of SET_STR_THRESHOLD used for tuning and measuring. #if SET_STR_BLOCK_SIZE >= SET_STR_THRESHOLD These values are silly. The sub-quadratic code would recurse to itself. #endif */ mp_size_t mpn_set_str (mp_ptr rp, const unsigned char *str, size_t str_len, int base) { mp_size_t size; mp_limb_t big_base; int chars_per_limb; mp_limb_t res_digit; ASSERT (base >= 2); ASSERT (base < numberof (__mp_bases)); ASSERT (str_len >= 1); big_base = __mp_bases[base].big_base; chars_per_limb = __mp_bases[base].chars_per_limb; size = 0; if (POW2_P (base)) { /* The base is a power of 2. Read the input string from least to most significant character/digit. */ const unsigned char *s; int next_bitpos; int bits_per_indigit = big_base; res_digit = 0; next_bitpos = 0; for (s = str + str_len - 1; s >= str; s--) { int inp_digit = *s; res_digit |= ((mp_limb_t) inp_digit << next_bitpos) & GMP_NUMB_MASK; next_bitpos += bits_per_indigit; if (next_bitpos >= GMP_NUMB_BITS) { rp[size++] = res_digit; next_bitpos -= GMP_NUMB_BITS; res_digit = inp_digit >> (bits_per_indigit - next_bitpos); } } if (res_digit != 0) rp[size++] = res_digit; return size; } else { /* General case. The base is not a power of 2. */ if (str_len < SET_STR_THRESHOLD) { size_t i; int j; mp_limb_t cy_limb; for (i = chars_per_limb; i < str_len; i += chars_per_limb) { res_digit = *str++; if (base == 10) { /* This is a common case. Help the compiler to avoid multiplication. */ for (j = MP_BASES_CHARS_PER_LIMB_10 - 1; j != 0; j--) res_digit = res_digit * 10 + *str++; } else { for (j = chars_per_limb - 1; j != 0; j--) res_digit = res_digit * base + *str++; } if (size == 0) { if (res_digit != 0) { rp[0] = res_digit; size = 1; } } else { #if HAVE_NATIVE_mpn_mul_1c cy_limb = mpn_mul_1c (rp, rp, size, big_base, res_digit); #else cy_limb = mpn_mul_1 (rp, rp, size, big_base); cy_limb += mpn_add_1 (rp, rp, size, res_digit); #endif if (cy_limb != 0) rp[size++] = cy_limb; } } big_base = base; res_digit = *str++; if (base == 10) { /* This is a common case. Help the compiler to avoid multiplication. */ for (j = str_len - (i - MP_BASES_CHARS_PER_LIMB_10) - 1; j > 0; j--) { res_digit = res_digit * 10 + *str++; big_base *= 10; } } else { for (j = str_len - (i - chars_per_limb) - 1; j > 0; j--) { res_digit = res_digit * base + *str++; big_base *= base; } } if (size == 0) { if (res_digit != 0) { rp[0] = res_digit; size = 1; } } else { #if HAVE_NATIVE_mpn_mul_1c cy_limb = mpn_mul_1c (rp, rp, size, big_base, res_digit); #else cy_limb = mpn_mul_1 (rp, rp, size, big_base); cy_limb += mpn_add_1 (rp, rp, size, res_digit); #endif if (cy_limb != 0) rp[size++] = cy_limb; } return size; } else { /* Sub-quadratic code. */ mp_ptr dp; mp_size_t dsize; mp_ptr xp, tp; mp_size_t step; mp_size_t i; size_t alloc; mp_size_t n; mp_ptr pow_mem; alloc = (str_len + chars_per_limb - 1) / chars_per_limb; alloc = 2 * alloc; dp = __GMP_ALLOCATE_FUNC_LIMBS (alloc); #if SET_STR_BLOCK_SIZE == 1 dsize = convert_blocks (dp, str, str_len, base); #else { const unsigned char *s; mp_ptr ddp = dp; s = str + str_len; while (s - str > SET_STR_BLOCK_SIZE * chars_per_limb) { s -= SET_STR_BLOCK_SIZE * chars_per_limb; mpn_set_str (ddp, s, SET_STR_BLOCK_SIZE * chars_per_limb, base); ddp += SET_STR_BLOCK_SIZE; } ddp += mpn_set_str (ddp, str, s - str, base); dsize = ddp - dp; } #endif /* Allocate space for powers of big_base. Could trim this in two ways: 1. Only really need 2^ceil(log2(dsize)) bits for the largest power. 2. Only the variable to get the largest power needs that much memory. The other variable needs half as much. We need just figure out which of xp and tp will hold the last one. Net space savings would be in the range 1/4 to 5/8 of current allocation, depending on how close dsize is to the next greater power of 2. */ pow_mem = __GMP_ALLOCATE_FUNC_LIMBS (2 * alloc); xp = pow_mem; tp = pow_mem + alloc; xp[0] = big_base; n = 1; step = 1; #if SET_STR_BLOCK_SIZE != 1 for (i = SET_STR_BLOCK_SIZE; i > 1; i >>= 1) { mpn_sqr_n (tp, xp, n); n = 2 * n; n -= tp[n - 1] == 0; step = 2 * step; MP_PTR_SWAP (tp, xp); } #endif /* Multiply every second limb block, each `step' limbs large by the base power currently in xp[], then add this to the adjacent block. We thereby convert from dsize blocks in base big_base, to dsize/2 blocks in base big_base^2, then to dsize/4 blocks in base big_base^4, etc, etc. */ if (step < dsize) { for (;;) { for (i = 0; i < dsize - step; i += 2 * step) { mp_ptr bp = dp + i; mp_size_t m = dsize - i - step; mp_size_t hi; if (n >= m) { mpn_mul (tp, xp, n, bp + step, m); mpn_add (bp, tp, n + m, bp, n); hi = i + n + m; dsize = hi; dsize -= dp[dsize - 1] == 0; } else { mpn_mul_n (tp, xp, bp + step, n); mpn_add (bp, tp, n + n, bp, n); } } step = 2 * step; if (! (step < dsize)) break; mpn_sqr_n (tp, xp, n); n = 2 * n; n -= tp[n - 1] == 0; MP_PTR_SWAP (tp, xp); } } MPN_NORMALIZE (dp, dsize); MPN_COPY (rp, dp, dsize); __GMP_FREE_FUNC_LIMBS (pow_mem, 2 * alloc); __GMP_FREE_FUNC_LIMBS (dp, alloc); return dsize; } } } static mp_size_t convert_blocks (mp_ptr dp, const unsigned char *str, size_t str_len, int base) { int chars_per_limb; mp_size_t i; int j; int ds; mp_size_t dsize; mp_limb_t res_digit; chars_per_limb = __mp_bases[base].chars_per_limb; dsize = str_len / chars_per_limb; ds = str_len % chars_per_limb; if (ds != 0) { res_digit = *str++; for (j = ds - 1; j != 0; j--) res_digit = res_digit * base + *str++; dp[dsize] = res_digit; } if (base == 10) { for (i = dsize - 1; i >= 0; i--) { res_digit = *str++; for (j = MP_BASES_CHARS_PER_LIMB_10 - 1; j != 0; j--) res_digit = res_digit * 10 + *str++; dp[i] = res_digit; } } else { for (i = dsize - 1; i >= 0; i--) { res_digit = *str++; for (j = chars_per_limb - 1; j != 0; j--) res_digit = res_digit * base + *str++; dp[i] = res_digit; } } return dsize + (ds != 0); }