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. */
51typedef uint8_t comp; /**< A single precision component. */
52typedef uint16_t long_comp; /**< A double precision component. */
53typedef 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. */
60typedef uint16_t comp; /**< A single precision component. */
61typedef uint32_t long_comp; /**< A double precision component. */
62typedef int32_t slong_comp; /**< A signed double precision component. */
63#else /* regular 32 bit */
64#ifdef WIN32
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. */
74typedef uint32_t comp; /**< A single precision component. */
75typedef uint64_t long_comp; /**< A double precision component. */
76typedef int64_t slong_comp; /**< A signed double precision component. */
77#endif
78
79/**
80 * @struct _bigint
81 * @brief A big integer basic object
82 */
83struct _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
92typedef 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 */
98typedef 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