1 /* 2 * Copyright (c) 2007, Cameron Rich 3 * 4 * All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions are met: 8 * 9 * * Redistributions of source code must retain the above copyright notice, 10 * this list of conditions and the following disclaimer. 11 * * Redistributions in binary form must reproduce the above copyright notice, 12 * this list of conditions and the following disclaimer in the documentation 13 * and/or other materials provided with the distribution. 14 * * Neither the name of the axTLS project nor the names of its contributors 15 * may be used to endorse or promote products derived from this software 16 * without specific prior written permission. 17 * 18 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 19 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 20 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR 21 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR 22 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 23 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 24 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 25 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 26 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 27 * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 28 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 29 */ 30 31 #ifndef BIGINT_IMPL_HEADER 32 #define BIGINT_IMPL_HEADER 33 34 /* Maintain a number of precomputed variables when doing reduction */ 35 #define BIGINT_M_OFFSET 0 /**< Normal modulo offset. */ 36 #ifdef CONFIG_BIGINT_CRT 37 #define BIGINT_P_OFFSET 1 /**< p modulo offset. */ 38 #define BIGINT_Q_OFFSET 2 /**< q module offset. */ 39 #define BIGINT_NUM_MODS 3 /**< The number of modulus constants used. */ 40 #else 41 #define BIGINT_NUM_MODS 1 42 #endif 43 44 /* Architecture specific functions for big ints */ 45 #if defined(CONFIG_INTEGER_8BIT) 46 #define COMP_RADIX 256U /**< Max component + 1 */ 47 #define COMP_MAX 0xFFFFU/**< (Max dbl comp -1) */ 48 #define COMP_BIT_SIZE 8 /**< Number of bits in a component. */ 49 #define COMP_BYTE_SIZE 1 /**< Number of bytes in a component. */ 50 #define COMP_NUM_NIBBLES 2 /**< Used For diagnostics only. */ 51 typedef uint8_t comp; /**< A single precision component. */ 52 typedef uint16_t long_comp; /**< A double precision component. */ 53 typedef int16_t slong_comp; /**< A signed double precision component. */ 54 #elif defined(CONFIG_INTEGER_16BIT) 55 #define COMP_RADIX 65536U /**< Max component + 1 */ 56 #define COMP_MAX 0xFFFFFFFFU/**< (Max dbl comp -1) */ 57 #define COMP_BIT_SIZE 16 /**< Number of bits in a component. */ 58 #define COMP_BYTE_SIZE 2 /**< Number of bytes in a component. */ 59 #define COMP_NUM_NIBBLES 4 /**< Used For diagnostics only. */ 60 typedef uint16_t comp; /**< A single precision component. */ 61 typedef uint32_t long_comp; /**< A double precision component. */ 62 typedef int32_t slong_comp; /**< A signed double precision component. */ 63 #else /* regular 32 bit */ 64 #if defined(WIN32) && !defined(__GNUC__) 65 #define COMP_RADIX 4294967296i64 66 #define COMP_MAX 0xFFFFFFFFFFFFFFFFui64 67 #else 68 #define COMP_RADIX 4294967296ULL /**< Max component + 1 */ 69 #define COMP_MAX 0xFFFFFFFFFFFFFFFFULL/**< (Max dbl comp -1) */ 70 #endif 71 #define COMP_BIT_SIZE 32 /**< Number of bits in a component. */ 72 #define COMP_BYTE_SIZE 4 /**< Number of bytes in a component. */ 73 #define COMP_NUM_NIBBLES 8 /**< Used For diagnostics only. */ 74 typedef uint32_t comp; /**< A single precision component. */ 75 typedef uint64_t long_comp; /**< A double precision component. */ 76 typedef int64_t slong_comp; /**< A signed double precision component. */ 77 #endif 78 79 /** 80 * @struct _bigint 81 * @brief A big integer basic object 82 */ 83 struct _bigint 84 { 85 struct _bigint* next; /**< The next bigint in the cache. */ 86 short size; /**< The number of components in this bigint. */ 87 short max_comps; /**< The heapsize allocated for this bigint */ 88 int refs; /**< An internal reference count. */ 89 comp* comps; /**< A ptr to the actual component data */ 90 }; 91 92 typedef struct _bigint bigint; /**< An alias for _bigint */ 93 94 /** 95 * Maintains the state of the cache, and a number of variables used in 96 * reduction. 97 */ 98 typedef struct /**< A big integer "session" context. */ 99 { 100 bigint *active_list; /**< Bigints currently used. */ 101 bigint *free_list; /**< Bigints not used. */ 102 bigint *bi_radix; /**< The radix used. */ 103 bigint *bi_mod[BIGINT_NUM_MODS]; /**< modulus */ 104 105 #if defined(CONFIG_BIGINT_MONTGOMERY) 106 bigint *bi_RR_mod_m[BIGINT_NUM_MODS]; /**< R^2 mod m */ 107 bigint *bi_R_mod_m[BIGINT_NUM_MODS]; /**< R mod m */ 108 comp N0_dash[BIGINT_NUM_MODS]; 109 #elif defined(CONFIG_BIGINT_BARRETT) 110 bigint *bi_mu[BIGINT_NUM_MODS]; /**< Storage for mu */ 111 #endif 112 bigint *bi_normalised_mod[BIGINT_NUM_MODS]; /**< Normalised mod storage. */ 113 bigint **g; /**< Used by sliding-window. */ 114 int window; /**< The size of the sliding window */ 115 int active_count; /**< Number of active bigints. */ 116 int free_count; /**< Number of free bigints. */ 117 118 #ifdef CONFIG_BIGINT_MONTGOMERY 119 uint8_t use_classical; /**< Use classical reduction. */ 120 #endif 121 uint8_t mod_offset; /**< The mod offset we are using */ 122 } BI_CTX; 123 124 #ifndef WIN32 125 #define max(a,b) ((a)>(b)?(a):(b)) /**< Find the maximum of 2 numbers. */ 126 #define min(a,b) ((a)<(b)?(a):(b)) /**< Find the minimum of 2 numbers. */ 127 #endif 128 129 #define PERMANENT 0x7FFF55AA /**< A magic number for permanents. */ 130 131 #endif 132