#include
BN_MONT_CTX *BN_MONT_CTX_new(void); void BN_MONT_CTX_init(BN_MONT_CTX *ctx); void BN_MONT_CTX_free(BN_MONT_CTX *mont);
int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx); BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_MONT_CTX *mont, BN_CTX *ctx);
int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, BN_CTX *ctx);
int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, BN_CTX *ctx);
_B_N___M_O_N_T___C_T_X___n_e_w_(_) allocates and initializes a BBNN__MMOONNTT__CCTTXX structure. _B_N___M_O_N_T___C_T_X___i_n_i_t_(_) initializes an existing uninitialized BBNN__MMOONNTT__CCTTXX.
_B_N___M_O_N_T___C_T_X___s_e_t_(_) sets up the _m_o_n_t structure from the modulus _m by precomputing its inverse and a value R.
_B_N___M_O_N_T___C_T_X___c_o_p_y_(_) copies the BBNN__MMOONNTT__CCTTXX _f_r_o_m to _t_o.
_B_N___M_O_N_T___C_T_X___f_r_e_e_(_) frees the components of the BBNN__MMOONNTT__CCTTXX, and, if it was created by _B_N___M_O_N_T___C_T_X___n_e_w_(_), also the structure itself.
_B_N___m_o_d___m_u_l___m_o_n_t_g_o_m_e_r_y_(_) computes Mont(_a,_b):=_a*_b*R^-1 and places the result in _r.
_B_N___f_r_o_m___m_o_n_t_g_o_m_e_r_y_(_) performs the Montgomery reduction _r = _a*R^-1.
_B_N___t_o___m_o_n_t_g_o_m_e_r_y_(_) computes Mont(_a,R^2), i.e. _a*R. Note that _a must be non-negative and smaller than the modulus.
For all functions, _c_t_x is a previously allocated BBNN__CCTTXX used for temporary variables.
The BBNN__MMOONNTT__CCTTXX structure is defined as follows:
typedef struct bn_mont_ctx_st { int ri; /* number of bits in R */ BIGNUM RR; /* R^2 (used to convert to Montgomery form) */ BIGNUM N; /* The modulus */ BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 * (Ni is only stored for bignum algorithm) */ BN_ULONG n0; /* least significant word of Ni */ int flags; } BN_MONT_CTX;
_B_N___t_o___m_o_n_t_g_o_m_e_r_y_(_) is a macro.
_B_N___M_O_N_T___C_T_X___i_n_i_t_(_) and _B_N___M_O_N_T___C_T_X___f_r_e_e_(_) have no return values.
For the other functions, 1 is returned for success, 0 on error. The error codes can be obtained by _E_R_R___g_e_t___e_r_r_o_r(3).
_B_N___M_O_N_T___C_T_X___i_n_i_t_(_) and _B_N___M_O_N_T___C_T_X___c_o_p_y_(_) were added in SSLeay 0.9.1b.