-/* crypto/ec/ec_lcl.h */
/*
* Originally written by Bodo Moeller for the OpenSSL project.
*/
/* ====================================================================
- * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
+ * 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.
+ * 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
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
- * Portions of the attached software ("Contribution") are developed by
+ * 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
+ * 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
-/* Structure details are not part of the exported interface,
- * so all this may change in future versions. */
+/* Use default functions for poin2oct, oct2point and compressed coordinates */
+#define EC_FLAGS_DEFAULT_OCT 0x1
-struct ec_method_st {
- /* 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 *);
-
- int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
- int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
- int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
-} /* EC_METHOD */;
+/* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
+#define EC_FLAGS_CUSTOM_CURVE 0x2
+/*
+ * Structure details are not part of the exported interface, so all this may
+ * change in future versions.
+ */
-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;
-
- void *extra_data;
- void *(*extra_data_dup_func)(void *);
- void (*extra_data_free_func)(void *);
- void (*extra_data_clear_free_func)(void *);
-
- /* The following members are handled by the method functions,
- * even if they appear generic */
-
- BIGNUM field; /* 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.
- */
-
- unsigned int poly[5]; /* 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.
- */
-
- BIGNUM a, b; /* 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.
- */
-
- int a_is_minus3; /* enable optimized point arithmetics for special case */
-
- void *field_data1; /* method-specific (e.g., Montgomery structure) */
- void *field_data2; /* method-specific */
- int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
-} /* EC_GROUP */;
-
-
-/* Basically a 'mixin' for extra data, but available for EC_GROUPs 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.
- * (Currently, we have one slot only, but is is possible to extend this
- * if necessary.) */
-int EC_GROUP_set_extra_data(EC_GROUP *, void *extra_data, void *(*extra_data_dup_func)(void *),
- void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
-void *EC_GROUP_get_extra_data(const EC_GROUP *, void *(*extra_data_dup_func)(void *),
- void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
-void EC_GROUP_free_extra_data(EC_GROUP *);
-void EC_GROUP_clear_free_extra_data(EC_GROUP *);
+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 *);
+ /* private key operations */
+ size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
+ int (*oct2priv)(EC_KEY *eckey, unsigned char *buf, size_t len);
+ int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
+ int (*keygen)(EC_KEY *eckey);
+ int (*keycheck)(const EC_KEY *eckey);
+ int (*keygenpub)(EC_KEY *eckey);
+ int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
+ void (*keyfinish)(EC_KEY *eckey);
+ /* custom ECDH operation */
+ int (*ecdh_compute_key)(void *out, size_t outlen, const EC_POINT *pub_key,
+ const EC_KEY *ecdh,
+ void *(*KDF) (const void *in, size_t inlen,
+ void *out, size_t *outlen));
+} /* EC_METHOD */ ;
+/*
+ * Types and functions to manipulate pre-computed values.
+ */
+typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
+typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
+typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
+typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
+typedef struct ec_pre_comp_st EC_PRE_COMP;
+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;
+ /*
+ * 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 *);
+ /* data for ECDSA inverse */
+ BN_MONT_CTX *mont_data;
+
+ /* precomputed values for speed. */
+ enum {
+ pct_none,
+ pct_nistp224, pct_nistp256, pct_nistp521, pct_nistz256,
+ pct_ec } pre_comp_type;
+ union {
+ NISTP224_PRE_COMP *nistp224;
+ NISTP256_PRE_COMP *nistp256;
+ NISTP521_PRE_COMP *nistp521;
+ NISTZ256_PRE_COMP *nistz256;
+ EC_PRE_COMP *ec;
+ } pre_comp;
+} /* EC_GROUP */ ;
+
+#define SETPRECOMP(g, type, pre) \
+ g->pre_comp_type = pct_##type, g->pre_comp.type = pre
+#define HAVEPRECOMP(g, type) \
+ g->pre_comp_type == pct_##type && g->pre_comp.type != NULL
+
+struct ec_key_st {
+ const EC_KEY_METHOD *meth;
+ ENGINE *engine;
+ 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;
+ CRYPTO_EX_DATA ex_data;
+} /* EC_KEY */ ;
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 */;
-
+ 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 */ ;
+
+NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
+NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
+NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
+NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
+NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
+EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
+
+void EC_pre_comp_free(EC_GROUP *group);
+void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
+void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
+void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
+void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
+void EC_ec_pre_comp_free(EC_PRE_COMP *);
-
-/* method functions in ec_mult.c
- * (ec_lib.c uses these as defaults if group->method->mul is 0) */
+/*
+ * 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 *);
+ 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_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_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_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 *);
+ 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 *);
+ 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 *);
+ 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_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 *);
-
+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 *);
+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_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_recp.c */
-int ec_GFp_recp_group_init(EC_GROUP *);
-int ec_GFp_recp_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-void ec_GFp_recp_group_finish(EC_GROUP *);
-void ec_GFp_recp_group_clear_finish(EC_GROUP *);
-int ec_GFp_recp_group_copy(EC_GROUP *, const EC_GROUP *);
-int ec_GFp_recp_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-int ec_GFp_recp_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
-
-
/* method functions in ecp_nist.c */
-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 *);
-
+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_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 *);
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 *);
+ 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 *);
+ 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 *);
+ 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_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 *);
-
+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_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
+int ec_precompute_mont_data(EC_GROUP *);
+
+#ifdef ECP_NISTZ256_ASM
+/** Returns GFp methods using montgomery multiplication, with x86-64 optimized
+ * P256. See http://eprint.iacr.org/2013/816.
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nistz256_method(void);
+#endif
+
+/* EC_METHOD definitions */
+
+struct ec_key_method_st {
+ const char *name;
+ int32_t flags;
+ int (*init)(EC_KEY *key);
+ void (*finish)(EC_KEY *key);
+ int (*copy)(EC_KEY *dest, const EC_KEY *src);
+ int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
+ int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
+ int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
+ int (*keygen)(EC_KEY *key);
+ int (*compute_key)(void *out, size_t outlen, const EC_POINT *pub_key,
+ const EC_KEY *ecdh,
+ void *(*KDF) (const void *in, size_t inlen,
+ void *out, size_t *outlen));
+
+ int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
+ *sig, unsigned int *siglen, const BIGNUM *kinv,
+ const BIGNUM *r, EC_KEY *eckey);
+ int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
+ BIGNUM **rp);
+ ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
+ const BIGNUM *in_kinv, const BIGNUM *in_r,
+ EC_KEY *eckey);
+
+ int (*verify)(int type, const unsigned char *dgst, int dgst_len,
+ const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
+ int (*verify_sig)(const unsigned char *dgst, int dgst_len,
+ const ECDSA_SIG *sig, EC_KEY *eckey);
+} /* EC_KEY_METHOD */ ;
+
+#define EC_KEY_METHOD_DYNAMIC 1
+
+int ossl_ec_key_gen(EC_KEY *eckey);
+int ossl_ecdh_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
+ const EC_KEY *ecdh,
+ void *(*KDF) (const void *in, size_t inlen,
+ void *out, size_t *outlen));
+
+struct ECDSA_SIG_st {
+ BIGNUM *r;
+ BIGNUM *s;
+};
+
+int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
+ BIGNUM **rp);
+int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
+ unsigned char *sig, unsigned int *siglen,
+ const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
+ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
+ const BIGNUM *in_kinv, const BIGNUM *in_r,
+ EC_KEY *eckey);
+int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
+ const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
+int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
+ const ECDSA_SIG *sig, EC_KEY *eckey);
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