Restoring authorship annotation for <tpashkin@yandex-team.ru>. Commit 2 of 2.

1 files changed, 738 insertions, 738 deletions

diff --git a/contrib/libs/openssl/crypto/ec/ec_local.h b/contrib/libs/openssl/crypto/ec/ec_local.h
index 48e855c068..64725a9c92 100644
--- a/contrib/libs/openssl/crypto/ec/ec_local.h
+++ b/contrib/libs/openssl/crypto/ec/ec_local.h
@@ -1,741 +1,741 @@
-/* 
+/*
  * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved 
- * 
- * Licensed under the OpenSSL license (the "License").  You may not use 
- * this file except in compliance with the License.  You can obtain a copy 
- * in the file LICENSE in the source distribution or at 
- * https://www.openssl.org/source/license.html 
- */ 
- 
-#include <stdlib.h> 
- 
-#include <openssl/obj_mac.h> 
-#include <openssl/ec.h> 
-#include <openssl/bn.h> 
-#include "internal/refcount.h" 
-#include "crypto/ec.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 
- 
-/* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */ 
-#define EC_FLAGS_CUSTOM_CURVE   0x2 
- 
-/* Curve does not support signing operations */ 
-#define EC_FLAGS_NO_SIGN        0x4 
- 
-/* 
- * 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, EC_GROUP_get_curve: */ 
-    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 *); 
-    int (*group_order_bits) (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, 
-     * EC_POINT_get_affine_coordinates, 
-     * EC_POINT_set_compressed_coordinates: 
-     */ 
-    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): 
-     */ 
-    /*- 
-     * mul() calculates the value 
-     * 
-     *   r := generator * scalar 
-     *        + points[0] * scalars[0] 
-     *        + ... 
-     *        + points[num-1] * scalars[num-1]. 
-     * 
-     * For a fixed point multiplication (scalar != NULL, num == 0) 
-     * or a variable point multiplication (scalar == NULL, num == 1), 
-     * mul() must use a constant time algorithm: in both cases callers 
-     * should provide an input scalar (either scalar or scalars[0]) 
-     * in the range [0, ec_group_order); for robustness, implementers 
-     * should handle the case when the scalar has not been reduced, but 
-     * may treat it as an unusual input, without any constant-timeness 
-     * guarantee. 
-     */ 
-    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 *); 
-    /*- 
-     * 'field_inv' computes the multiplicative inverse of a in the field, 
-     * storing the result in r. 
-     * 
-     * If 'a' is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error. 
-     */ 
-    int (*field_inv) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 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, const 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)(unsigned char **pout, size_t *poutlen, 
-                            const EC_POINT *pub_key, const EC_KEY *ecdh); 
-    /* Inverse modulo order */ 
-    int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r, 
-                                 const BIGNUM *x, BN_CTX *); 
-    int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); 
-    int (*ladder_pre)(const EC_GROUP *group, 
-                      EC_POINT *r, EC_POINT *s, 
-                      EC_POINT *p, BN_CTX *ctx); 
-    int (*ladder_step)(const EC_GROUP *group, 
-                       EC_POINT *r, EC_POINT *s, 
-                       EC_POINT *p, BN_CTX *ctx); 
-    int (*ladder_post)(const EC_GROUP *group, 
-                       EC_POINT *r, EC_POINT *s, 
-                       EC_POINT *p, BN_CTX *ctx); 
-}; 
- 
-/* 
- * 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 */ 
+ * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
+ *
+ * Licensed under the OpenSSL license (the "License").  You may not use
+ * this file except in compliance with the License.  You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include <stdlib.h>
+
+#include <openssl/obj_mac.h>
+#include <openssl/ec.h>
+#include <openssl/bn.h>
+#include "internal/refcount.h"
+#include "crypto/ec.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
+
+/* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
+#define EC_FLAGS_CUSTOM_CURVE   0x2
+
+/* Curve does not support signing operations */
+#define EC_FLAGS_NO_SIGN        0x4
+
+/*
+ * 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, EC_GROUP_get_curve: */
+    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 *);
+    int (*group_order_bits) (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,
+     * EC_POINT_get_affine_coordinates,
+     * EC_POINT_set_compressed_coordinates:
+     */
+    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):
+     */
+    /*-
+     * mul() calculates the value
+     *
+     *   r := generator * scalar
+     *        + points[0] * scalars[0]
+     *        + ...
+     *        + points[num-1] * scalars[num-1].
+     *
+     * For a fixed point multiplication (scalar != NULL, num == 0)
+     * or a variable point multiplication (scalar == NULL, num == 1),
+     * mul() must use a constant time algorithm: in both cases callers
+     * should provide an input scalar (either scalar or scalars[0])
+     * in the range [0, ec_group_order); for robustness, implementers
+     * should handle the case when the scalar has not been reduced, but
+     * may treat it as an unusual input, without any constant-timeness
+     * guarantee.
+     */
+    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 *);
+    /*-
+     * 'field_inv' computes the multiplicative inverse of a in the field,
+     * storing the result in r.
+     *
+     * If 'a' is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
+     */
+    int (*field_inv) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 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, const 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)(unsigned char **pout, size_t *poutlen,
+                            const EC_POINT *pub_key, const EC_KEY *ecdh);
+    /* Inverse modulo order */
+    int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r,
+                                 const BIGNUM *x, BN_CTX *);
+    int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
+    int (*ladder_pre)(const EC_GROUP *group,
+                      EC_POINT *r, EC_POINT *s,
+                      EC_POINT *p, BN_CTX *ctx);
+    int (*ladder_step)(const EC_GROUP *group,
+                       EC_POINT *r, EC_POINT *s,
+                       EC_POINT *p, BN_CTX *ctx);
+    int (*ladder_post)(const EC_GROUP *group,
+                       EC_POINT *r, EC_POINT *s,
+                       EC_POINT *p, BN_CTX *ctx);
+};
+
+/*
+ * 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 */
     int decoded_from_explicit_params; /* set if decoded from explicit
                                        * curve parameters 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. The PCT_xxx names match the 
-     * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP 
-     * macros, below. 
-     */ 
-    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; 
-}; 
- 
-#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; 
-    CRYPTO_REF_COUNT references; 
-    int flags; 
-    CRYPTO_EX_DATA ex_data; 
-    CRYPTO_RWLOCK *lock; 
-}; 
- 
-struct ec_point_st { 
-    const EC_METHOD *meth; 
-    /* NID for the curve if known */ 
-    int curve_name; 
-    /* 
-     * 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 */ 
-}; 
- 
-static ossl_inline int ec_point_is_compat(const EC_POINT *point, 
-                                          const EC_GROUP *group) 
-{ 
-    if (group->meth != point->meth 
-        || (group->curve_name != 0 
-            && point->curve_name != 0 
-            && group->curve_name != point->curve_name)) 
-        return 0; 
- 
-    return 1; 
-} 
- 
-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) 
- */ 
-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 *); 
-int ec_GFp_simple_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 
-                            BN_CTX *); 
-int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p, 
-                                    BN_CTX *ctx); 
-int ec_GFp_simple_ladder_pre(const EC_GROUP *group, 
-                             EC_POINT *r, EC_POINT *s, 
-                             EC_POINT *p, BN_CTX *ctx); 
-int ec_GFp_simple_ladder_step(const EC_GROUP *group, 
-                              EC_POINT *r, EC_POINT *s, 
-                              EC_POINT *p, BN_CTX *ctx); 
-int ec_GFp_simple_ladder_post(const EC_GROUP *group, 
-                              EC_POINT *r, EC_POINT *s, 
-                              EC_POINT *p, BN_CTX *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_inv(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 *); 
- 
-#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_group_simple_order_bits(const EC_GROUP *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 
- 
-size_t ec_key_simple_priv2oct(const EC_KEY *eckey, 
-                              unsigned char *buf, size_t len); 
-int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len); 
-int ec_key_simple_generate_key(EC_KEY *eckey); 
-int ec_key_simple_generate_public_key(EC_KEY *eckey); 
-int ec_key_simple_check_key(const EC_KEY *eckey); 
- 
-int ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx); 
- 
-/* 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)(unsigned char **pout, size_t *poutlen, 
-                       const EC_POINT *pub_key, const EC_KEY *ecdh); 
-    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); 
-}; 
- 
-#define EC_KEY_METHOD_DYNAMIC   1 
- 
-int ossl_ec_key_gen(EC_KEY *eckey); 
-int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen, 
-                          const EC_POINT *pub_key, const EC_KEY *ecdh); 
-int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen, 
-                            const EC_POINT *pub_key, const EC_KEY *ecdh); 
- 
-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); 
- 
-int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len, 
-                 const uint8_t public_key[32], const uint8_t private_key[32]); 
-int ED25519_verify(const uint8_t *message, size_t message_len, 
-                   const uint8_t signature[64], const uint8_t public_key[32]); 
-void ED25519_public_from_private(uint8_t out_public_key[32], 
-                                 const uint8_t private_key[32]); 
- 
-int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32], 
-           const uint8_t peer_public_value[32]); 
-void X25519_public_from_private(uint8_t out_public_value[32], 
-                                const uint8_t private_key[32]); 
- 
-/*- 
- * This functions computes a single point multiplication over the EC group, 
- * using, at a high level, a Montgomery ladder with conditional swaps, with 
- * various timing attack defenses. 
- * 
- * It performs either a fixed point multiplication 
- *          (scalar * generator) 
- * when point is NULL, or a variable point multiplication 
- *          (scalar * point) 
- * when point is not NULL. 
- * 
- * `scalar` cannot be NULL and should be in the range [0,n) otherwise all 
- * constant time bets are off (where n is the cardinality of the EC group). 
- * 
- * This function expects `group->order` and `group->cardinality` to be well 
- * defined and non-zero: it fails with an error code otherwise. 
- * 
- * NB: This says nothing about the constant-timeness of the ladder step 
- * implementation (i.e., the default implementation is based on EC_POINT_add and 
- * EC_POINT_dbl, which of course are not constant time themselves) or the 
- * underlying multiprecision arithmetic. 
- * 
- * The product is stored in `r`. 
- * 
- * This is an internal function: callers are in charge of ensuring that the 
- * input parameters `group`, `r`, `scalar` and `ctx` are not NULL. 
- * 
- * Returns 1 on success, 0 otherwise. 
- */ 
-int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r, 
-                         const BIGNUM *scalar, const EC_POINT *point, 
-                         BN_CTX *ctx); 
- 
-int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); 
- 
-static ossl_inline int ec_point_ladder_pre(const EC_GROUP *group, 
-                                           EC_POINT *r, EC_POINT *s, 
-                                           EC_POINT *p, BN_CTX *ctx) 
-{ 
-    if (group->meth->ladder_pre != NULL) 
-        return group->meth->ladder_pre(group, r, s, p, ctx); 
- 
-    if (!EC_POINT_copy(s, p) 
-        || !EC_POINT_dbl(group, r, s, ctx)) 
-        return 0; 
- 
-    return 1; 
-} 
- 
-static ossl_inline int ec_point_ladder_step(const EC_GROUP *group, 
-                                            EC_POINT *r, EC_POINT *s, 
-                                            EC_POINT *p, BN_CTX *ctx) 
-{ 
-    if (group->meth->ladder_step != NULL) 
-        return group->meth->ladder_step(group, r, s, p, ctx); 
- 
-    if (!EC_POINT_add(group, s, r, s, ctx) 
-        || !EC_POINT_dbl(group, r, r, ctx)) 
-        return 0; 
- 
-    return 1; 
- 
-} 
- 
-static ossl_inline int ec_point_ladder_post(const EC_GROUP *group, 
-                                            EC_POINT *r, EC_POINT *s, 
-                                            EC_POINT *p, BN_CTX *ctx) 
-{ 
-    if (group->meth->ladder_post != NULL) 
-        return group->meth->ladder_post(group, r, s, p, ctx); 
- 
-    return 1; 
-} 
+    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. The PCT_xxx names match the
+     * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
+     * macros, below.
+     */
+    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;
+};
+
+#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;
+    CRYPTO_REF_COUNT references;
+    int flags;
+    CRYPTO_EX_DATA ex_data;
+    CRYPTO_RWLOCK *lock;
+};
+
+struct ec_point_st {
+    const EC_METHOD *meth;
+    /* NID for the curve if known */
+    int curve_name;
+    /*
+     * 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 */
+};
+
+static ossl_inline int ec_point_is_compat(const EC_POINT *point,
+                                          const EC_GROUP *group)
+{
+    if (group->meth != point->meth
+        || (group->curve_name != 0
+            && point->curve_name != 0
+            && group->curve_name != point->curve_name))
+        return 0;
+
+    return 1;
+}
+
+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)
+ */
+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 *);
+int ec_GFp_simple_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+                            BN_CTX *);
+int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
+                                    BN_CTX *ctx);
+int ec_GFp_simple_ladder_pre(const EC_GROUP *group,
+                             EC_POINT *r, EC_POINT *s,
+                             EC_POINT *p, BN_CTX *ctx);
+int ec_GFp_simple_ladder_step(const EC_GROUP *group,
+                              EC_POINT *r, EC_POINT *s,
+                              EC_POINT *p, BN_CTX *ctx);
+int ec_GFp_simple_ladder_post(const EC_GROUP *group,
+                              EC_POINT *r, EC_POINT *s,
+                              EC_POINT *p, BN_CTX *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_inv(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 *);
+
+#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_group_simple_order_bits(const EC_GROUP *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
+
+size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
+                              unsigned char *buf, size_t len);
+int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
+int ec_key_simple_generate_key(EC_KEY *eckey);
+int ec_key_simple_generate_public_key(EC_KEY *eckey);
+int ec_key_simple_check_key(const EC_KEY *eckey);
+
+int ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx);
+
+/* 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)(unsigned char **pout, size_t *poutlen,
+                       const EC_POINT *pub_key, const EC_KEY *ecdh);
+    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);
+};
+
+#define EC_KEY_METHOD_DYNAMIC   1
+
+int ossl_ec_key_gen(EC_KEY *eckey);
+int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
+                          const EC_POINT *pub_key, const EC_KEY *ecdh);
+int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
+                            const EC_POINT *pub_key, const EC_KEY *ecdh);
+
+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);
+
+int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len,
+                 const uint8_t public_key[32], const uint8_t private_key[32]);
+int ED25519_verify(const uint8_t *message, size_t message_len,
+                   const uint8_t signature[64], const uint8_t public_key[32]);
+void ED25519_public_from_private(uint8_t out_public_key[32],
+                                 const uint8_t private_key[32]);
+
+int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
+           const uint8_t peer_public_value[32]);
+void X25519_public_from_private(uint8_t out_public_value[32],
+                                const uint8_t private_key[32]);
+
+/*-
+ * This functions computes a single point multiplication over the EC group,
+ * using, at a high level, a Montgomery ladder with conditional swaps, with
+ * various timing attack defenses.
+ *
+ * It performs either a fixed point multiplication
+ *          (scalar * generator)
+ * when point is NULL, or a variable point multiplication
+ *          (scalar * point)
+ * when point is not NULL.
+ *
+ * `scalar` cannot be NULL and should be in the range [0,n) otherwise all
+ * constant time bets are off (where n is the cardinality of the EC group).
+ *
+ * This function expects `group->order` and `group->cardinality` to be well
+ * defined and non-zero: it fails with an error code otherwise.
+ *
+ * NB: This says nothing about the constant-timeness of the ladder step
+ * implementation (i.e., the default implementation is based on EC_POINT_add and
+ * EC_POINT_dbl, which of course are not constant time themselves) or the
+ * underlying multiprecision arithmetic.
+ *
+ * The product is stored in `r`.
+ *
+ * This is an internal function: callers are in charge of ensuring that the
+ * input parameters `group`, `r`, `scalar` and `ctx` are not NULL.
+ *
+ * Returns 1 on success, 0 otherwise.
+ */
+int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
+                         const BIGNUM *scalar, const EC_POINT *point,
+                         BN_CTX *ctx);
+
+int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
+
+static ossl_inline int ec_point_ladder_pre(const EC_GROUP *group,
+                                           EC_POINT *r, EC_POINT *s,
+                                           EC_POINT *p, BN_CTX *ctx)
+{
+    if (group->meth->ladder_pre != NULL)
+        return group->meth->ladder_pre(group, r, s, p, ctx);
+
+    if (!EC_POINT_copy(s, p)
+        || !EC_POINT_dbl(group, r, s, ctx))
+        return 0;
+
+    return 1;
+}
+
+static ossl_inline int ec_point_ladder_step(const EC_GROUP *group,
+                                            EC_POINT *r, EC_POINT *s,
+                                            EC_POINT *p, BN_CTX *ctx)
+{
+    if (group->meth->ladder_step != NULL)
+        return group->meth->ladder_step(group, r, s, p, ctx);
+
+    if (!EC_POINT_add(group, s, r, s, ctx)
+        || !EC_POINT_dbl(group, r, r, ctx))
+        return 0;
+
+    return 1;
+
+}
+
+static ossl_inline int ec_point_ladder_post(const EC_GROUP *group,
+                                            EC_POINT *r, EC_POINT *s,
+                                            EC_POINT *p, BN_CTX *ctx)
+{
+    if (group->meth->ladder_post != NULL)
+        return group->meth->ladder_post(group, r, s, p, ctx);
+
+    return 1;
+}