/* * Copyright(C) 2006 Cameron Rich * * This 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. * * This 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 this library; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ #ifndef BIGINT_IMPL_HEADER #define BIGINT_IMPL_HEADER /* Maintain a number of precomputed variables when doing reduction */ #define BIGINT_M_OFFSET 0 /**< Normal modulo offset. */ #ifdef CONFIG_BIGINT_CRT #define BIGINT_P_OFFSET 1 /**< p modulo offset. */ #define BIGINT_Q_OFFSET 2 /**< q module offset. */ #define BIGINT_NUM_MODS 3 /**< The number of modulus constants used. */ #else #define BIGINT_NUM_MODS 1 #endif /* Architecture specific functions for big ints */ #ifdef WIN32 #define COMP_RADIX 4294967296i64 #define COMP_BIG_MSB 0x8000000000000000i64 #else #define COMP_RADIX 4294967296ULL /**< Max component + 1 */ #define COMP_BIG_MSB 0x8000000000000000ULL /**< (Max dbl comp + 1)/ 2 */ #endif #define COMP_BIT_SIZE 32 /**< Number of bits in a component. */ #define COMP_BYTE_SIZE 4 /**< Number of bytes in a component. */ #define COMP_NUM_NIBBLES 8 /**< Used For diagnostics only. */ typedef uint32_t comp; /**< A single precision component. */ typedef uint64_t long_comp; /**< A double precision component. */ typedef int64_t slong_comp; /**< A signed double precision component. */ /** * @struct _bigint * @brief A big integer basic object */ struct _bigint { struct _bigint* next; /**< The next bigint in the cache. */ short size; /**< The number of components in this bigint. */ short max_comps; /**< The heapsize allocated for this bigint */ int refs; /**< An internal reference count. */ comp* comps; /**< A ptr to the actual component data */ }; typedef struct _bigint bigint; /**< An alias for _bigint */ /** * Maintains the state of the cache, and a number of variables used in * reduction. */ typedef struct /**< A big integer "session" context. */ { bigint *active_list; /**< Bigints currently used. */ bigint *free_list; /**< Bigints not used. */ bigint *bi_radix; /**< The radix used. */ bigint *bi_mod[BIGINT_NUM_MODS]; /**< modulus */ #if defined(CONFIG_BIGINT_MONTGOMERY) bigint *bi_RR_mod_m[BIGINT_NUM_MODS]; /**< R^2 mod m */ bigint *bi_R_mod_m[BIGINT_NUM_MODS]; /**< R mod m */ comp N0_dash[BIGINT_NUM_MODS]; #elif defined(CONFIG_BIGINT_BARRETT) bigint *bi_mu[BIGINT_NUM_MODS]; /**< Storage for mu */ #endif bigint *bi_normalised_mod[BIGINT_NUM_MODS]; /**< Normalised mod storage. */ bigint **g; /**< Used by sliding-window. */ int window; /**< The size of the sliding window */ int active_count; /**< Number of active bigints. */ int free_count; /**< Number of free bigints. */ #ifdef CONFIG_BIGINT_MONTGOMERY uint8_t use_classical; /**< Use classical reduction. */ #endif uint8_t mod_offset; /**< The mod offset we are using */ } BI_CTX; #ifndef WIN32 #define max(a,b) ((a)>(b)?(a):(b)) /**< Find the maximum of 2 numbers. */ #define min(a,b) ((a)<(b)?(a):(b)) /**< Find the minimum of 2 numbers. */ #endif #define PERMANENT 0x7FFF55AA /**< A magic number for permanents. */ #define V1 v->comps[v->size-1] /**< v1 for division */ #define V2 v->comps[v->size-2] /**< v2 for division */ #define U(j) tmp_u->comps[tmp_u->size-j-1] /**< uj for division */ #define Q(j) quotient->comps[quotient->size-j-1] /**< qj for division */ #endif