| /* crypto/ec/ec_lcl.h */ |
| /* |
| * Originally written by Bodo Moeller for the OpenSSL project. |
| */ |
| /* ==================================================================== |
| * Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved. |
| * |
| * Redistribution and use in source and binary forms, with or without |
| * modification, are permitted provided that the following conditions |
| * are met: |
| * |
| * 1. Redistributions of source code must retain the above copyright |
| * notice, this list of conditions and the following disclaimer. |
| * |
| * 2. Redistributions in binary form must reproduce the above copyright |
| * notice, this list of conditions and the following disclaimer in |
| * the documentation and/or other materials provided with the |
| * distribution. |
| * |
| * 3. All advertising materials mentioning features or use of this |
| * software must display the following acknowledgment: |
| * "This product includes software developed by the OpenSSL Project |
| * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" |
| * |
| * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to |
| * endorse or promote products derived from this software without |
| * prior written permission. For written permission, please contact |
| * openssl-core@openssl.org. |
| * |
| * 5. Products derived from this software may not be called "OpenSSL" |
| * nor may "OpenSSL" appear in their names without prior written |
| * permission of the OpenSSL Project. |
| * |
| * 6. Redistributions of any form whatsoever must retain the following |
| * acknowledgment: |
| * "This product includes software developed by the OpenSSL Project |
| * for use in the OpenSSL Toolkit (http://www.openssl.org/)" |
| * |
| * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY |
| * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
| * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR |
| * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
| * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
| * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, |
| * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
| * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED |
| * OF THE POSSIBILITY OF SUCH DAMAGE. |
| * ==================================================================== |
| * |
| * This product includes cryptographic software written by Eric Young |
| * (eay@cryptsoft.com). This product includes software written by Tim |
| * Hudson (tjh@cryptsoft.com). |
| * |
| */ |
| /* ==================================================================== |
| * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. |
| * |
| * Portions of the attached software ("Contribution") are developed by |
| * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. |
| * |
| * The Contribution is licensed pursuant to the OpenSSL open source |
| * license provided above. |
| * |
| * The elliptic curve binary polynomial software is originally written by |
| * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. |
| * |
| */ |
| |
| #include <stdlib.h> |
| |
| #include <openssl/obj_mac.h> |
| #include <openssl/ec.h> |
| #include <openssl/bn.h> |
| |
| #if defined(__SUNPRO_C) |
| # if __SUNPRO_C >= 0x520 |
| # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) |
| # endif |
| #endif |
| |
| /* Use default functions for poin2oct, oct2point and compressed coordinates */ |
| #define EC_FLAGS_DEFAULT_OCT 0x1 |
| |
| /* |
| * Structure details are not part of the exported interface, so all this may |
| * change in future versions. |
| */ |
| |
| struct ec_method_st { |
| /* Various method flags */ |
| int flags; |
| /* used by EC_METHOD_get_field_type: */ |
| int field_type; /* a NID */ |
| /* |
| * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, |
| * EC_GROUP_copy: |
| */ |
| int (*group_init) (EC_GROUP *); |
| void (*group_finish) (EC_GROUP *); |
| void (*group_clear_finish) (EC_GROUP *); |
| int (*group_copy) (EC_GROUP *, const EC_GROUP *); |
| /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ |
| /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ |
| int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, |
| BN_CTX *); |
| /* used by EC_GROUP_get_degree: */ |
| int (*group_get_degree) (const EC_GROUP *); |
| /* used by EC_GROUP_check: */ |
| int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *); |
| /* |
| * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, |
| * EC_POINT_copy: |
| */ |
| int (*point_init) (EC_POINT *); |
| void (*point_finish) (EC_POINT *); |
| void (*point_clear_finish) (EC_POINT *); |
| int (*point_copy) (EC_POINT *, const EC_POINT *); |
| /*- |
| * used by EC_POINT_set_to_infinity, |
| * EC_POINT_set_Jprojective_coordinates_GFp, |
| * EC_POINT_get_Jprojective_coordinates_GFp, |
| * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, |
| * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, |
| * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: |
| */ |
| int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *); |
| int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *, |
| EC_POINT *, const BIGNUM *x, |
| const BIGNUM *y, |
| const BIGNUM *z, BN_CTX *); |
| int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *, |
| const EC_POINT *, BIGNUM *x, |
| BIGNUM *y, BIGNUM *z, |
| BN_CTX *); |
| int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, const BIGNUM *y, |
| BN_CTX *); |
| int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *, |
| BIGNUM *x, BIGNUM *y, BN_CTX *); |
| int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, int y_bit, |
| BN_CTX *); |
| /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ |
| size_t (*point2oct) (const EC_GROUP *, const EC_POINT *, |
| point_conversion_form_t form, unsigned char *buf, |
| size_t len, BN_CTX *); |
| int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf, |
| size_t len, BN_CTX *); |
| /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ |
| int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, |
| const EC_POINT *b, BN_CTX *); |
| int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); |
| int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *); |
| /* |
| * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: |
| */ |
| int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *); |
| int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *); |
| int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, |
| BN_CTX *); |
| /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ |
| int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *); |
| int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[], |
| BN_CTX *); |
| /* |
| * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, |
| * EC_POINT_have_precompute_mult (default implementations are used if the |
| * 'mul' pointer is 0): |
| */ |
| int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, |
| size_t num, const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int (*precompute_mult) (EC_GROUP *group, BN_CTX *); |
| int (*have_precompute_mult) (const EC_GROUP *group); |
| /* internal functions */ |
| /* |
| * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and |
| * 'dbl' so that the same implementations of point operations can be used |
| * with different optimized implementations of expensive field |
| * operations: |
| */ |
| int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); |
| int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| /* e.g. to Montgomery */ |
| int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| /* e.g. from Montgomery */ |
| int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *); |
| } /* EC_METHOD */ ; |
| |
| typedef struct ec_extra_data_st { |
| struct ec_extra_data_st *next; |
| void *data; |
| void *(*dup_func) (void *); |
| void (*free_func) (void *); |
| void (*clear_free_func) (void *); |
| } EC_EXTRA_DATA; /* used in EC_GROUP */ |
| |
| struct ec_group_st { |
| const EC_METHOD *meth; |
| EC_POINT *generator; /* optional */ |
| BIGNUM order, cofactor; |
| int curve_name; /* optional NID for named curve */ |
| int asn1_flag; /* flag to control the asn1 encoding */ |
| point_conversion_form_t asn1_form; |
| unsigned char *seed; /* optional seed for parameters (appears in |
| * ASN1) */ |
| size_t seed_len; |
| EC_EXTRA_DATA *extra_data; /* linked list */ |
| /* |
| * The following members are handled by the method functions, even if |
| * they appear generic |
| */ |
| /* |
| * Field specification. For curves over GF(p), this is the modulus; for |
| * curves over GF(2^m), this is the irreducible polynomial defining the |
| * field. |
| */ |
| BIGNUM field; |
| /* |
| * Field specification for curves over GF(2^m). The irreducible f(t) is |
| * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m = |
| * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with |
| * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero |
| * terms. |
| */ |
| int poly[6]; |
| /* |
| * Curve coefficients. (Here the assumption is that BIGNUMs can be used |
| * or abused for all kinds of fields, not just GF(p).) For characteristic |
| * > 3, the curve is defined by a Weierstrass equation of the form y^2 = |
| * x^3 + a*x + b. For characteristic 2, the curve is defined by an |
| * equation of the form y^2 + x*y = x^3 + a*x^2 + b. |
| */ |
| BIGNUM a, b; |
| /* enable optimized point arithmetics for special case */ |
| int a_is_minus3; |
| /* method-specific (e.g., Montgomery structure) */ |
| void *field_data1; |
| /* method-specific */ |
| void *field_data2; |
| /* method-specific */ |
| int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *, |
| BN_CTX *); |
| } /* EC_GROUP */ ; |
| |
| struct ec_key_st { |
| int version; |
| EC_GROUP *group; |
| EC_POINT *pub_key; |
| BIGNUM *priv_key; |
| unsigned int enc_flag; |
| point_conversion_form_t conv_form; |
| int references; |
| int flags; |
| EC_EXTRA_DATA *method_data; |
| } /* EC_KEY */ ; |
| |
| /* |
| * Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs |
| * only (with visibility limited to 'package' level for now). We use the |
| * function pointers as index for retrieval; this obviates global |
| * ex_data-style index tables. |
| */ |
| int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, |
| void *(*dup_func) (void *), |
| void (*free_func) (void *), |
| void (*clear_free_func) (void *)); |
| void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, void *(*dup_func) (void *), |
| void (*free_func) (void *), |
| void (*clear_free_func) (void *)); |
| void EC_EX_DATA_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), |
| void (*free_func) (void *), |
| void (*clear_free_func) (void *)); |
| void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), |
| void (*free_func) (void *), |
| void (*clear_free_func) (void *)); |
| void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); |
| void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); |
| |
| struct ec_point_st { |
| const EC_METHOD *meth; |
| /* |
| * All members except 'meth' are handled by the method functions, even if |
| * they appear generic |
| */ |
| BIGNUM X; |
| BIGNUM Y; |
| BIGNUM Z; /* Jacobian projective coordinates: (X, Y, Z) |
| * represents (X/Z^2, Y/Z^3) if Z != 0 */ |
| int Z_is_one; /* enable optimized point arithmetics for |
| * special case */ |
| } /* EC_POINT */ ; |
| |
| /* |
| * method functions in ec_mult.c (ec_lib.c uses these as defaults if |
| * group->method->mul is 0) |
| */ |
| int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, |
| size_t num, const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); |
| int ec_wNAF_have_precompute_mult(const EC_GROUP *group); |
| |
| /* method functions in ecp_smpl.c */ |
| int ec_GFp_simple_group_init(EC_GROUP *); |
| void ec_GFp_simple_group_finish(EC_GROUP *); |
| void ec_GFp_simple_group_clear_finish(EC_GROUP *); |
| int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); |
| int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, |
| const BIGNUM *a, const BIGNUM *b, BN_CTX *); |
| int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, |
| BIGNUM *b, BN_CTX *); |
| int ec_GFp_simple_group_get_degree(const EC_GROUP *); |
| int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); |
| int ec_GFp_simple_point_init(EC_POINT *); |
| void ec_GFp_simple_point_finish(EC_POINT *); |
| void ec_GFp_simple_point_clear_finish(EC_POINT *); |
| int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); |
| int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); |
| int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, |
| EC_POINT *, const BIGNUM *x, |
| const BIGNUM *y, |
| const BIGNUM *z, BN_CTX *); |
| int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, |
| const EC_POINT *, BIGNUM *x, |
| BIGNUM *y, BIGNUM *z, |
| BN_CTX *); |
| int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, |
| const BIGNUM *y, BN_CTX *); |
| int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, |
| const EC_POINT *, BIGNUM *x, |
| BIGNUM *y, BN_CTX *); |
| int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, int y_bit, |
| BN_CTX *); |
| size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, |
| point_conversion_form_t form, |
| unsigned char *buf, size_t len, BN_CTX *); |
| int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, |
| const unsigned char *buf, size_t len, BN_CTX *); |
| int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, |
| const EC_POINT *b, BN_CTX *); |
| int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, |
| BN_CTX *); |
| int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); |
| int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); |
| int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); |
| int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, |
| BN_CTX *); |
| int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); |
| int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, |
| EC_POINT *[], BN_CTX *); |
| int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| |
| /* method functions in ecp_mont.c */ |
| int ec_GFp_mont_group_init(EC_GROUP *); |
| int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| void ec_GFp_mont_group_finish(EC_GROUP *); |
| void ec_GFp_mont_group_clear_finish(EC_GROUP *); |
| int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); |
| int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); |
| |
| /* method functions in ecp_nist.c */ |
| int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); |
| int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| |
| /* method functions in ec2_smpl.c */ |
| int ec_GF2m_simple_group_init(EC_GROUP *); |
| void ec_GF2m_simple_group_finish(EC_GROUP *); |
| void ec_GF2m_simple_group_clear_finish(EC_GROUP *); |
| int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); |
| int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, |
| const BIGNUM *a, const BIGNUM *b, |
| BN_CTX *); |
| int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, |
| BIGNUM *b, BN_CTX *); |
| int ec_GF2m_simple_group_get_degree(const EC_GROUP *); |
| int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); |
| int ec_GF2m_simple_point_init(EC_POINT *); |
| void ec_GF2m_simple_point_finish(EC_POINT *); |
| void ec_GF2m_simple_point_clear_finish(EC_POINT *); |
| int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); |
| int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); |
| int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, |
| const BIGNUM *y, BN_CTX *); |
| int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, |
| const EC_POINT *, BIGNUM *x, |
| BIGNUM *y, BN_CTX *); |
| int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, |
| const BIGNUM *x, int y_bit, |
| BN_CTX *); |
| size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, |
| point_conversion_form_t form, |
| unsigned char *buf, size_t len, BN_CTX *); |
| int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, |
| const unsigned char *buf, size_t len, BN_CTX *); |
| int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, |
| const EC_POINT *b, BN_CTX *); |
| int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, |
| BN_CTX *); |
| int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); |
| int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); |
| int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); |
| int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, |
| BN_CTX *); |
| int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); |
| int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, |
| EC_POINT *[], BN_CTX *); |
| int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| BN_CTX *); |
| int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *); |
| |
| /* method functions in ec2_mult.c */ |
| int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| int ec_GF2m_have_precompute_mult(const EC_GROUP *group); |
| |
| /* method functions in ec2_mult.c */ |
| int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| int ec_GF2m_have_precompute_mult(const EC_GROUP *group); |
| |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| /* method functions in ecp_nistp224.c */ |
| int ec_GFp_nistp224_group_init(EC_GROUP *group); |
| int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
| const BIGNUM *a, const BIGNUM *n, |
| BN_CTX *); |
| int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, |
| const EC_POINT *point, |
| BIGNUM *x, BIGNUM *y, |
| BN_CTX *ctx); |
| int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], |
| const BIGNUM *scalars[], BN_CTX *ctx); |
| int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); |
| |
| /* method functions in ecp_nistp256.c */ |
| int ec_GFp_nistp256_group_init(EC_GROUP *group); |
| int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
| const BIGNUM *a, const BIGNUM *n, |
| BN_CTX *); |
| int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, |
| const EC_POINT *point, |
| BIGNUM *x, BIGNUM *y, |
| BN_CTX *ctx); |
| int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], |
| const BIGNUM *scalars[], BN_CTX *ctx); |
| int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); |
| |
| /* method functions in ecp_nistp521.c */ |
| int ec_GFp_nistp521_group_init(EC_GROUP *group); |
| int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
| const BIGNUM *a, const BIGNUM *n, |
| BN_CTX *); |
| int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, |
| const EC_POINT *point, |
| BIGNUM *x, BIGNUM *y, |
| BN_CTX *ctx); |
| int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], const BIGNUM *scalars[], |
| BN_CTX *); |
| int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *scalar, size_t num, |
| const EC_POINT *points[], |
| const BIGNUM *scalars[], BN_CTX *ctx); |
| int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); |
| |
| /* utility functions in ecp_nistputil.c */ |
| void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, |
| size_t felem_size, |
| void *tmp_felems, |
| void (*felem_one) (void *out), |
| int (*felem_is_zero) (const void |
| *in), |
| void (*felem_assign) (void *out, |
| const void |
| *in), |
| void (*felem_square) (void *out, |
| const void |
| *in), |
| void (*felem_mul) (void *out, |
| const void |
| *in1, |
| const void |
| *in2), |
| void (*felem_inv) (void *out, |
| const void |
| *in), |
| void (*felem_contract) (void |
| *out, |
| const |
| void |
| *in)); |
| void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, |
| unsigned char *digit, unsigned char in); |
| #endif |
