1bn(3) OpenSSL bn(3)
2
6 bn - multiprecision integer arithmetics
7
9 #include <openssl/bn.h>
10 BIGNUM *BN_new(void);
12 void BN_free(BIGNUM *a);
13 void BN_init(BIGNUM *);
14 void BN_clear(BIGNUM *a);
15 void BN_clear_free(BIGNUM *a);
16 BN_CTX *BN_CTX_new(void);
18 void BN_CTX_init(BN_CTX *c);
19 void BN_CTX_free(BN_CTX *c);
20 BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
22 BIGNUM *BN_dup(const BIGNUM *a);
23 BIGNUM *BN_swap(BIGNUM *a, BIGNUM *b);
25 int BN_num_bytes(const BIGNUM *a);
27 int BN_num_bits(const BIGNUM *a);
28 int BN_num_bits_word(BN_ULONG w);
29 void BN_set_negative(BIGNUM *a, int n);
31 int BN_is_negative(const BIGNUM *a);
32 int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
34 int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
35 int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
36 int BN_sqr(BIGNUM *r, BIGNUM *a, BN_CTX *ctx);
37 int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *a, const BIGNUM *d,
38 BN_CTX *ctx);
39 int BN_mod(BIGNUM *rem, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
40 int BN_nnmod(BIGNUM *rem, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
41 int BN_mod_add(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
42 BN_CTX *ctx);
43 int BN_mod_sub(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
44 BN_CTX *ctx);
45 int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
46 BN_CTX *ctx);
47 int BN_mod_sqr(BIGNUM *ret, BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
48 int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
49 int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
50 const BIGNUM *m, BN_CTX *ctx);
51 int BN_gcd(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
52 int BN_add_word(BIGNUM *a, BN_ULONG w);
54 int BN_sub_word(BIGNUM *a, BN_ULONG w);
55 int BN_mul_word(BIGNUM *a, BN_ULONG w);
56 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
57 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
58 int BN_cmp(BIGNUM *a, BIGNUM *b);
60 int BN_ucmp(BIGNUM *a, BIGNUM *b);
61 int BN_is_zero(BIGNUM *a);
62 int BN_is_one(BIGNUM *a);
63 int BN_is_word(BIGNUM *a, BN_ULONG w);
64 int BN_is_odd(BIGNUM *a);
65 int BN_zero(BIGNUM *a);
67 int BN_one(BIGNUM *a);
68 const BIGNUM *BN_value_one(void);
69 int BN_set_word(BIGNUM *a, unsigned long w);
70 unsigned long BN_get_word(BIGNUM *a);
71 int BN_rand(BIGNUM *rnd, int bits, int top, int bottom);
73 int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
74 int BN_rand_range(BIGNUM *rnd, BIGNUM *range);
75 int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
76 BIGNUM *BN_generate_prime(BIGNUM *ret, int bits,int safe, BIGNUM *add,
78 BIGNUM *rem, void (*callback)(int, int, void *), void *cb_arg);
79 int BN_is_prime(const BIGNUM *p, int nchecks,
80 void (*callback)(int, int, void *), BN_CTX *ctx, void *cb_arg);
81 int BN_set_bit(BIGNUM *a, int n);
83 int BN_clear_bit(BIGNUM *a, int n);
84 int BN_is_bit_set(const BIGNUM *a, int n);
85 int BN_mask_bits(BIGNUM *a, int n);
86 int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
87 int BN_lshift1(BIGNUM *r, BIGNUM *a);
88 int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
89 int BN_rshift1(BIGNUM *r, BIGNUM *a);
90 int BN_bn2bin(const BIGNUM *a, unsigned char *to);
92 BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
93 char *BN_bn2hex(const BIGNUM *a);
94 char *BN_bn2dec(const BIGNUM *a);
95 int BN_hex2bn(BIGNUM **a, const char *str);
96 int BN_dec2bn(BIGNUM **a, const char *str);
97 int BN_print(BIO *fp, const BIGNUM *a);
98 int BN_print_fp(FILE *fp, const BIGNUM *a);
99 int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
100 BIGNUM *BN_mpi2bn(unsigned char *s, int len, BIGNUM *ret);
101 BIGNUM *BN_mod_inverse(BIGNUM *r, BIGNUM *a, const BIGNUM *n,
103 BN_CTX *ctx);
104 BN_RECP_CTX *BN_RECP_CTX_new(void);
106 void BN_RECP_CTX_init(BN_RECP_CTX *recp);
107 void BN_RECP_CTX_free(BN_RECP_CTX *recp);
108 int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *m, BN_CTX *ctx);
109 int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
110 BN_RECP_CTX *recp, BN_CTX *ctx);
111 BN_MONT_CTX *BN_MONT_CTX_new(void);
113 void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
114 void BN_MONT_CTX_free(BN_MONT_CTX *mont);
115 int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx);
116 BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
117 int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b,
118 BN_MONT_CTX *mont, BN_CTX *ctx);
119 int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
120 BN_CTX *ctx);
121 int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
122 BN_CTX *ctx);
123 BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai,
125 BIGNUM *mod);
126 void BN_BLINDING_free(BN_BLINDING *b);
127 int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
128 int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
129 int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
130 int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b,
131 BN_CTX *ctx);
132 int BN_BLINDING_invert_ex(BIGNUM *n,const BIGNUM *r,BN_BLINDING *b,
133 BN_CTX *ctx);
134 unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
135 void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
136 unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
137 void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
138 BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
139 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
140 int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
141 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
142 BN_MONT_CTX *m_ctx);
143
145 This library performs arithmetic operations on integers of arbitrary
146 size. It was written for use in public key cryptography, such as RSA
147 and Diffie-Hellman.
148 It uses dynamic memory allocation for storing its data structures.
150 That means that there is no limit on the size of the numbers
151 manipulated by these functions, but return values must always be
152 checked in case a memory allocation error has occurred.
153 The basic object in this library is a BIGNUM. It is used to hold a
155 single large integer. This type should be considered opaque and fields
156 should not be modified or accessed directly.
157 The creation of BIGNUM objects is described in BN_new(3); BN_add(3)
159 describes most of the arithmetic operations. Comparison is described
160 in BN_cmp(3); BN_zero(3) describes certain assignments, BN_rand(3) the
161 generation of random numbers, BN_generate_prime(3) deals with prime
162 numbers and BN_set_bit(3) with bit operations. The conversion of
163 BIGNUMs to external formats is described in BN_bn2bin(3).
164
166 bn_internal(3), dh(3), err(3), rand(3), rsa(3), BN_new(3),
167 BN_CTX_new(3), BN_copy(3), BN_swap(3), BN_num_bytes(3), BN_add(3),
168 BN_add_word(3), BN_cmp(3), BN_zero(3), BN_rand(3),
169 BN_generate_prime(3), BN_set_bit(3), BN_bn2bin(3), BN_mod_inverse(3),
170 BN_mod_mul_reciprocal(3), BN_mod_mul_montgomery(3), BN_BLINDING_new(3)
1711.0.0e 2008-07-03 bn(3)