| 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 |