| /* |
| * 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 */ |
| #ifdef WIN32 |
| #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 |
