-/*
+/* crypto/ec/ec.h */
+/* ====================================================================
+ * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
*
- * ec.h
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
*
- * Elliptic Curve Arithmetic Functions
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
*
- * Copyright (C) Lenka Fibikova 2000
+ * 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).
*
*/
-
#ifndef HEADER_EC_H
#define HEADER_EC_H
+#ifdef OPENSSL_NO_EC
+#error EC is disabled.
+#endif
+
+#include <openssl/bn.h>
+#include <openssl/symhacks.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+typedef enum {
+ /* values as defined in X9.62 (ECDSA) and elsewhere */
+ POINT_CONVERSION_COMPRESSED = 2,
+ POINT_CONVERSION_UNCOMPRESSED = 4,
+ POINT_CONVERSION_HYBRID = 6
+} point_conversion_form_t;
+
+
+typedef struct ec_method_st EC_METHOD;
+
+typedef struct ec_group_st
+ /*
+ EC_METHOD *meth;
+ -- field definition
+ -- curve coefficients
+ -- optional generator with associated information (order, cofactor)
+ -- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
+ */
+ EC_GROUP;
+
+typedef struct ec_point_st EC_POINT;
+
+
+/* EC_METHODs for curves over GF(p).
+ * EC_GFp_simple_method provides the basis for the optimized methods.
+ */
+const EC_METHOD *EC_GFp_simple_method(void);
+const EC_METHOD *EC_GFp_mont_method(void);
+#if 0
+const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
+const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
+#endif
+
+
+EC_GROUP *EC_GROUP_new(const EC_METHOD *);
+void EC_GROUP_free(EC_GROUP *);
+void EC_GROUP_clear_free(EC_GROUP *);
+int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
+
+void EC_GROUP_set_nid(EC_GROUP *, int);
+int EC_GROUP_get_nid(const EC_GROUP *);
+
+const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
+
+
+/* We don't have types for field specifications and field elements in general.
+ * Otherwise we could declare
+ * int EC_GROUP_set_curve(EC_GROUP *, .....);
+ */
+int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+
+int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
+EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
+int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
+int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
+
+/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
+int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
+/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
+ * elliptic curve is not zero, 0 otherwise */
+int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
+
+/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
+ * after choosing an appropriate EC_METHOD */
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+
+/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
+ * generator and order */
+EC_GROUP *EC_GROUP_new_by_nid(int nid);
+EC_GROUP *EC_GROUP_new_by_name(int name);
+/* Currently valid arguments to EC_GROUP_new_by_name() */
+#define EC_GROUP_NO_CURVE 0
+#define EC_GROUP_NIST_PRIME_192 NID_X9_62_prime192v1
+#define EC_GROUP_NIST_PRIME_224 NID_secp224r1
+#define EC_GROUP_NIST_PRIME_256 NID_X9_62_prime256v1
+#define EC_GROUP_NIST_PRIME_384 NID_secp384r1
+#define EC_GROUP_NIST_PRIME_521 NID_secp521r1
+#define EC_GROUP_X9_62_PRIME_192V1 NID_X9_62_prime192v1
+#define EC_GROUP_X9_62_PRIME_192V2 NID_X9_62_prime192v2
+#define EC_GROUP_X9_62_PRIME_192V3 NID_X9_62_prime192v3
+#define EC_GROUP_X9_62_PRIME_239V1 NID_X9_62_prime239v1
+#define EC_GROUP_X9_62_PRIME_239V2 NID_X9_62_prime239v2
+#define EC_GROUP_X9_62_PRIME_239V3 NID_X9_62_prime239v3
+#define EC_GROUP_X9_62_PRIME_256V1 NID_X9_62_prime256v1
+#define EC_GROUP_SECG_PRIME_112R1 NID_secp112r1
+#define EC_GROUP_SECG_PRIME_112R2 NID_secp112r2
+#define EC_GROUP_SECG_PRIME_128R1 NID_secp128r1
+#define EC_GROUP_SECG_PRIME_128R2 NID_secp128r2
+#define EC_GROUP_SECG_PRIME_160K1 NID_secp160k1
+#define EC_GROUP_SECG_PRIME_160R1 NID_secp160r1
+#define EC_GROUP_SECG_PRIME_160R2 NID_secp160r2
+#define EC_GROUP_SECG_PRIME_192K1 NID_secp192k1
+#define EC_GROUP_SECG_PRIME_192R1 NID_X9_62_prime192v1
+#define EC_GROUP_SECG_PRIME_224K1 NID_secp224k1
+#define EC_GROUP_SECG_PRIME_224R1 NID_secp224r1
+#define EC_GROUP_SECG_PRIME_256K1 NID_secp256k1
+#define EC_GROUP_SECG_PRIME_256R1 NID_X9_62_prime256v1
+#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1
+#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1
+#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6
+#define EC_GROUP_WTLS_7 NID_secp160r1
+#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8
+#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9
+#define EC_GROUP_WTLS_12 NID_secp224r1
+
+EC_POINT *EC_POINT_new(const EC_GROUP *);
+void EC_POINT_free(EC_POINT *);
+void EC_POINT_clear_free(EC_POINT *);
+int EC_POINT_copy(EC_POINT *, const EC_POINT *);
+
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
+
+int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+
+size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *);
+int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
+ const unsigned char *buf, size_t len, BN_CTX *);
+
+int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
+
+int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
+int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+
+int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+
+
+int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
+int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
+int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
+
+
+
+/* BEGIN ERROR CODES */
+/* The following lines are auto generated by the script mkerr.pl. Any changes
+ * made after this point may be overwritten when the script is next run.
+ */
+void ERR_load_EC_strings(void);
+
+/* Error codes for the EC functions. */
+
+/* Function codes. */
+#define EC_F_COMPUTE_WNAF 143
+#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
+#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
+#define EC_F_EC_GFP_MONT_FIELD_MUL 131
+#define EC_F_EC_GFP_MONT_FIELD_SQR 132
+#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 152
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
+#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
+#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
+#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
+#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
+#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
+#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
+#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
+#define EC_F_EC_GROUP_CHECK 150
+#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 153
+#define EC_F_EC_GROUP_COPY 106
+#define EC_F_EC_GROUP_GET0_GENERATOR 139
+#define EC_F_EC_GROUP_GET_COFACTOR 140
+#define EC_F_EC_GROUP_GET_CURVE_GFP 130
+#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
+#define EC_F_EC_GROUP_GET_ORDER 141
+#define EC_F_EC_GROUP_GROUP2NID 147
+#define EC_F_EC_GROUP_NEW 108
+#define EC_F_EC_GROUP_NEW_BY_NAME 144
+#define EC_F_EC_GROUP_NEW_BY_NID 146
+#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148
+#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
+#define EC_F_EC_GROUP_SET_CURVE_GFP 109
+#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
+#define EC_F_EC_GROUP_SET_GENERATOR 111
+#define EC_F_EC_POINTS_MAKE_AFFINE 136
+#define EC_F_EC_POINTS_MUL 138
+#define EC_F_EC_POINT_ADD 112
+#define EC_F_EC_POINT_CMP 113
+#define EC_F_EC_POINT_COPY 114
+#define EC_F_EC_POINT_DBL 115
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
+#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
+#define EC_F_EC_POINT_IS_AT_INFINITY 118
+#define EC_F_EC_POINT_IS_ON_CURVE 119
+#define EC_F_EC_POINT_MAKE_AFFINE 120
+#define EC_F_EC_POINT_NEW 121
+#define EC_F_EC_POINT_OCT2POINT 122
+#define EC_F_EC_POINT_POINT2OCT 123
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
+#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
+#define EC_F_EC_POINT_SET_TO_INFINITY 127
+#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
+
+/* Reason codes. */
+#define EC_R_BUFFER_TOO_SMALL 100
+#define EC_R_DISCRIMINANT_IS_ZERO 118
+#define EC_R_INCOMPATIBLE_OBJECTS 101
+#define EC_R_INVALID_ARGUMENT 112
+#define EC_R_INVALID_COMPRESSED_POINT 110
+#define EC_R_INVALID_COMPRESSION_BIT 109
+#define EC_R_INVALID_ENCODING 102
+#define EC_R_INVALID_FIELD 103
+#define EC_R_INVALID_FORM 104
+#define EC_R_INVALID_GROUP_ORDER 119
+#define EC_R_NOT_INITIALIZED 111
+#define EC_R_NO_SUCH_EXTRA_DATA 105
+#define EC_R_POINT_AT_INFINITY 106
+#define EC_R_POINT_IS_NOT_ON_CURVE 107
+#define EC_R_SLOT_FULL 108
+#define EC_R_UNDEFINED_GENERATOR 113
+#define EC_R_UNDEFINED_ORDER 122
+#define EC_R_UNKNOWN_GROUP 116
+#define EC_R_UNKNOWN_NID 117
+#define EC_R_UNKNOWN_ORDER 114
-#include "bn.h"
-#include "bn_mont2.h"
-
-typedef struct bn_ec_struct /* E: y^2 = x^3 + Ax + B (mod p) */
-{
- BIGNUM *A, *B, *p, *h; /* h = 1/2 mod p = (p + 1)/2 */
- int is_in_mont;
-} EC;
-
-typedef struct bn_ec_point_struct /* P = [X, Y, Z] */
-{
- BIGNUM *X, *Y, *Z;
- int is_in_mont;
-} EC_POINT;
-
-typedef struct bn_ecp_precompute_struct /* Pi[i] = [2i + 1]P i = 0..2^{r-1} - 1 */
-{
- int r;
- EC_POINT **Pi;
-} ECP_PRECOMPUTE;
-
-
-#define ECP_is_infty(P) (BN_is_zero(P->Z))
-#define ECP_is_norm(P) (BN_is_one(P->Z))
-
-#define ECP_mont_minus(P, mont) (ECP_minus((P), (mont)->p))
-
-
-EC *EC_new();
-void EC_clear_free(EC *E);
-int EC_set_half(EC *E);
-#ifdef MONTGOMERY
-int EC_to_montgomery(EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int EC_from_montgomery(EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-#endif /* MONTGOMERY */
-
-
-EC_POINT *ECP_new();
-void ECP_clear_free(EC_POINT *P);
-void ECP_clear_free_precompute(ECP_PRECOMPUTE *prec);
-
-EC_POINT *ECP_generate(BIGNUM *x, BIGNUM *z, EC *E, BN_CTX *ctx);
-EC_POINT *ECP_dup(EC_POINT *P);
-int ECP_copy(EC_POINT *R, EC_POINT *P);
-int ECP_normalize(EC_POINT *P, EC *E, BN_CTX *ctx);
-EC_POINT *ECP_minus(EC_POINT *P, BIGNUM *p);
-int ECP_is_on_ec(EC_POINT *P, EC *E, BN_CTX *ctx);
-int ECP_ecp2bin(EC_POINT *P, unsigned char *to, int form); /* form(ANSI 9.62): 1-compressed; 2-uncompressed; 3-hybrid */
-int ECP_bin2ecp(unsigned char *from, int len, EC_POINT *P, EC *E, BN_CTX *ctx);
-
-#ifdef SIMPLE
-int ECP_cmp(EC_POINT *P, EC_POINT *Q, BIGNUM *p, BN_CTX *ctx);
-int ECP_double(EC_POINT *R, EC_POINT *P, EC *E, BN_CTX *ctx);
-int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx);
-ECP_PRECOMPUTE *ECP_precompute(int r, EC_POINT *P, EC *E, BN_CTX *ctx);
-int ECP_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_CTX *ctx);
-#endif /* SIMPLE */
-
-#ifdef MONTGOMERY
-int ECP_to_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_from_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_mont_cmp(EC_POINT *P, EC_POINT *Q, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_mont_double(EC_POINT *R, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-ECP_PRECOMPUTE *ECP_mont_precompute(int r, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_mont_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-int ECP_mont_multiply2(EC_POINT *R, BIGNUM *k, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx);
-#endif /* MONTGOMERY */
-
-#endif
\ No newline at end of file
+#ifdef __cplusplus
+}
+#endif
+#endif
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