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15c988f7 JB |
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 |