/* * Copyright (c) 2007, Cameron Rich * * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * * Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * Neither the name of the axTLS project nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #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 */ #if defined(CONFIG_INTEGER_8BIT) #define COMP_RADIX 256U /**< Max component + 1 */ #define COMP_MAX 0xFFFFU/**< (Max dbl comp -1) */ #define COMP_BIT_SIZE 8 /**< Number of bits in a component. */ #define COMP_BYTE_SIZE 1 /**< Number of bytes in a component. */ #define COMP_NUM_NIBBLES 2 /**< Used For diagnostics only. */ typedef uint8_t comp; /**< A single precision component. */ typedef uint16_t long_comp; /**< A double precision component. */ typedef int16_t slong_comp; /**< A signed double precision component. */ #elif defined(CONFIG_INTEGER_16BIT) #define COMP_RADIX 65536U /**< Max component + 1 */ #define COMP_MAX 0xFFFFFFFFU/**< (Max dbl comp -1) */ #define COMP_BIT_SIZE 16 /**< Number of bits in a component. */ #define COMP_BYTE_SIZE 2 /**< Number of bytes in a component. */ #define COMP_NUM_NIBBLES 4 /**< Used For diagnostics only. */ typedef uint16_t comp; /**< A single precision component. */ typedef uint32_t long_comp; /**< A double precision component. */ typedef int32_t slong_comp; /**< A signed double precision component. */ #else /* regular 32 bit */ #if defined(WIN32) && !defined(__GNUC__) #define COMP_RADIX 4294967296i64 #define COMP_MAX 0xFFFFFFFFFFFFFFFFui64 #else #define COMP_RADIX 4294967296ULL /**< Max component + 1 */ #define COMP_MAX 0xFFFFFFFFFFFFFFFFULL/**< (Max dbl comp -1) */ #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. */ #endif /** * @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. */ #endif