2 * Copyright (c) 2007, Cameron Rich
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions are met:
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.
18 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
19 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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21 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
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31 #ifndef BIGINT_IMPL_HEADER
32 #define BIGINT_IMPL_HEADER
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. */
41 #define BIGINT_NUM_MODS 1
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
68 #define COMP_RADIX 4294967296ULL /**< Max component + 1 */
69 #define COMP_MAX 0xFFFFFFFFFFFFFFFFULL/**< (Max dbl comp -1) */
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. */
81 * @brief A big integer basic object
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 */
92 typedef struct _bigint bigint
; /**< An alias for _bigint */
95 * Maintains the state of the cache, and a number of variables used in
98 typedef struct /**< A big integer "session" context. */
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 */
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 */
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. */
118 #ifdef CONFIG_BIGINT_MONTGOMERY
119 uint8_t use_classical
; /**< Use classical reduction. */
121 uint8_t mod_offset
; /**< The mod offset we are using */
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. */
129 #define PERMANENT 0x7FFF55AA /**< A magic number for permanents. */