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DEFINITIONS
This source file includes following definitions.
- ec_instance
- ossl_ec_new
- ec_key_new_from_group
- ossl_ec_key_s_generate
- ossl_ec_key_initialize
- ossl_ec_key_get_group
- ossl_ec_key_set_group
- ossl_ec_key_get_private_key
- ossl_ec_key_set_private_key
- ossl_ec_point_dup
- ossl_ec_key_get_public_key
- ossl_ec_key_set_public_key
- ossl_ec_key_is_public
- ossl_ec_key_is_private
- ossl_ec_key_to_string
- ossl_ec_key_export
- ossl_ec_key_to_der
- ossl_ec_key_to_text
- ossl_ec_key_generate_key
- ossl_ec_key_check_key
- ossl_ec_key_dh_compute_key
- ossl_ec_key_dsa_sign_asn1
- ossl_ec_key_dsa_verify_asn1
- ossl_ec_group_free
- ossl_ec_group_alloc
- ossl_ec_group_initialize
- ossl_ec_group_eql
- ossl_ec_group_get_generator
- ossl_ec_group_set_generator
- ossl_ec_group_get_order
- ossl_ec_group_get_cofactor
- ossl_ec_group_get_curve_name
- ossl_s_builtin_curves
- ossl_ec_group_get_asn1_flag
- ossl_ec_group_set_asn1_flag
- ossl_ec_group_get_point_conversion_form
- ossl_ec_group_set_point_conversion_form
- ossl_ec_group_get_seed
- ossl_ec_group_set_seed
- ossl_ec_group_get_degree
- ossl_ec_group_to_string
- ossl_ec_group_to_pem
- ossl_ec_group_to_der
- ossl_ec_group_to_text
- ossl_ec_point_free
- ossl_ec_point_alloc
- ossl_ec_point_initialize
- ossl_ec_point_eql
- ossl_ec_point_is_at_infinity
- ossl_ec_point_is_on_curve
- ossl_ec_point_make_affine
- ossl_ec_point_invert
- ossl_ec_point_set_to_infinity
- ossl_ec_point_to_bn
- ossl_ec_point_mul
- no_copy
- Init_ossl_ec
- Init_ossl_ec
/*
 * Copyright (C) 2006-2007 Technorama Ltd. <oss-ruby@technorama.net>
 */
#include "ossl.h"
#if !defined(OPENSSL_NO_EC) && (OPENSSL_VERSION_NUMBER >= 0x0090802fL)
typedef struct {
        EC_GROUP *group;
        int dont_free;
} ossl_ec_group;
typedef struct {
        EC_POINT *point;
        int dont_free;
} ossl_ec_point;
#define EXPORT_PEM 0
#define EXPORT_DER 1
static const rb_data_type_t ossl_ec_group_type;
static const rb_data_type_t ossl_ec_point_type;
#define GetPKeyEC(obj, pkey) do { \
    GetPKey((obj), (pkey)); \
    if (EVP_PKEY_base_id(pkey) != EVP_PKEY_EC) { \
        ossl_raise(rb_eRuntimeError, "THIS IS NOT A EC PKEY!"); \
    } \
} while (0)
#define SafeGet_ec_group(obj, group) do { \
    OSSL_Check_Kind((obj), cEC_GROUP); \
    TypedData_Get_Struct((obj), ossl_ec_group, &ossl_ec_group_type, (group)); \
} while(0)
#define Get_EC_KEY(obj, key) do { \
    EVP_PKEY *pkey; \
    GetPKeyEC((obj), pkey); \
    (key) = EVP_PKEY_get0_EC_KEY(pkey); \
} while(0)
#define Require_EC_KEY(obj, key) do { \
    Get_EC_KEY((obj), (key)); \
    if ((key) == NULL) \
        ossl_raise(eECError, "EC_KEY is not initialized"); \
} while(0)
#define SafeRequire_EC_KEY(obj, key) do { \
    OSSL_Check_Kind((obj), cEC); \
    Require_EC_KEY((obj), (key)); \
} while (0)
#define Get_EC_GROUP(obj, g) do { \
    ossl_ec_group *ec_group; \
    TypedData_Get_Struct((obj), ossl_ec_group, &ossl_ec_group_type, ec_group); \
    if (ec_group == NULL) \
        ossl_raise(eEC_GROUP, "missing ossl_ec_group structure"); \
    (g) = ec_group->group; \
} while(0)
#define Require_EC_GROUP(obj, group) do { \
    Get_EC_GROUP((obj), (group)); \
    if ((group) == NULL) \
        ossl_raise(eEC_GROUP, "EC_GROUP is not initialized"); \
} while(0)
#define SafeRequire_EC_GROUP(obj, group) do { \
    OSSL_Check_Kind((obj), cEC_GROUP); \
    Require_EC_GROUP((obj), (group)); \
} while(0)
#define Get_EC_POINT(obj, p) do { \
    ossl_ec_point *ec_point; \
    TypedData_Get_Struct((obj), ossl_ec_point, &ossl_ec_point_type, ec_point); \
    if (ec_point == NULL) \
        ossl_raise(eEC_POINT, "missing ossl_ec_point structure"); \
    (p) = ec_point->point; \
} while(0)
#define Require_EC_POINT(obj, point) do { \
    Get_EC_POINT((obj), (point)); \
    if ((point) == NULL) \
        ossl_raise(eEC_POINT, "EC_POINT is not initialized"); \
} while(0)
#define SafeRequire_EC_POINT(obj, point) do { \
    OSSL_Check_Kind((obj), cEC_POINT); \
    Require_EC_POINT((obj), (point)); \
} while(0)
VALUE cEC;
VALUE eECError;
VALUE cEC_GROUP;
VALUE eEC_GROUP;
VALUE cEC_POINT;
VALUE eEC_POINT;
static ID s_GFp;
static ID s_GFp_simple;
static ID s_GFp_mont;
static ID s_GFp_nist;
static ID s_GF2m;
static ID s_GF2m_simple;
static ID ID_uncompressed;
static ID ID_compressed;
static ID ID_hybrid;
static VALUE ec_instance(VALUE klass, EC_KEY *ec)
{
    EVP_PKEY *pkey;
    VALUE obj;
    if (!ec) {
        return Qfalse;
    }
    obj = NewPKey(klass);
    if (!(pkey = EVP_PKEY_new())) {
        return Qfalse;
    }
    if (!EVP_PKEY_assign_EC_KEY(pkey, ec)) {
        EVP_PKEY_free(pkey);
        return Qfalse;
    }
    SetPKey(obj, pkey);
    return obj;
}
VALUE ossl_ec_new(EVP_PKEY *pkey)
{
    VALUE obj;
    if (!pkey) {
        obj = ec_instance(cEC, EC_KEY_new());
    } else {
        obj = NewPKey(cEC);
        if (EVP_PKEY_base_id(pkey) != EVP_PKEY_EC) {
            ossl_raise(rb_eTypeError, "Not a EC key!");
        }
        SetPKey(obj, pkey);
    }
    if (obj == Qfalse) {
        ossl_raise(eECError, NULL);
    }
    return obj;
}
/*
 * Creates a new EC_KEY on the EC group obj. arg can be an EC::Group or a String
 * representing an OID.
 */
static EC_KEY *
ec_key_new_from_group(VALUE arg)
{
    EC_KEY *ec;
    if (rb_obj_is_kind_of(arg, cEC_GROUP)) {
        EC_GROUP *group;
        SafeRequire_EC_GROUP(arg, group);
        if (!(ec = EC_KEY_new()))
            ossl_raise(eECError, NULL);
        if (!EC_KEY_set_group(ec, group)) {
            EC_KEY_free(ec);
            ossl_raise(eECError, NULL);
        }
    } else {
        int nid = OBJ_sn2nid(StringValueCStr(arg));
        if (nid == NID_undef)
            ossl_raise(eECError, "invalid curve name");
        if (!(ec = EC_KEY_new_by_curve_name(nid)))
            ossl_raise(eECError, NULL);
        EC_KEY_set_asn1_flag(ec, OPENSSL_EC_NAMED_CURVE);
        EC_KEY_set_conv_form(ec, POINT_CONVERSION_UNCOMPRESSED);
    }
    return ec;
}
/*
 *  call-seq:
 *     EC.generate(ec_group) -> ec
 *     EC.generate(string) -> ec
 *
 * Creates a new EC instance with a new random private and public key.
 */
static VALUE
ossl_ec_key_s_generate(VALUE klass, VALUE arg)
{
    EC_KEY *ec;
    VALUE obj;
    ec = ec_key_new_from_group(arg);
    obj = ec_instance(klass, ec);
    if (obj == Qfalse) {
        EC_KEY_free(ec);
        ossl_raise(eECError, NULL);
    }
    if (!EC_KEY_generate_key(ec))
        ossl_raise(eECError, "EC_KEY_generate_key");
    return obj;
}
/*  call-seq:
 *     OpenSSL::PKey::EC.new()
 *     OpenSSL::PKey::EC.new(ec_key)
 *     OpenSSL::PKey::EC.new(ec_group)
 *     OpenSSL::PKey::EC.new("secp112r1")
 *     OpenSSL::PKey::EC.new(pem_string)
 *     OpenSSL::PKey::EC.new(pem_string [, pwd])
 *     OpenSSL::PKey::EC.new(der_string)
 *
 *  See the OpenSSL documentation for:
 *     EC_KEY_*
 */
static VALUE ossl_ec_key_initialize(int argc, VALUE *argv, VALUE self)
{
    EVP_PKEY *pkey;
    EC_KEY *ec;
    VALUE arg, pass;
    GetPKey(self, pkey);
    if (EVP_PKEY_base_id(pkey) != EVP_PKEY_NONE)
        ossl_raise(eECError, "EC_KEY already initialized");
    rb_scan_args(argc, argv, "02", &arg, &pass);
    if (NIL_P(arg)) {
        if (!(ec = EC_KEY_new()))
            ossl_raise(eECError, NULL);
    } else if (rb_obj_is_kind_of(arg, cEC)) {
        EC_KEY *other_ec = NULL;
        SafeRequire_EC_KEY(arg, other_ec);
        if (!(ec = EC_KEY_dup(other_ec)))
            ossl_raise(eECError, NULL);
    } else if (rb_obj_is_kind_of(arg, cEC_GROUP)) {
        ec = ec_key_new_from_group(arg);
    } else {
        BIO *in;
        pass = ossl_pem_passwd_value(pass);
        in = ossl_obj2bio(arg);
        ec = PEM_read_bio_ECPrivateKey(in, NULL, ossl_pem_passwd_cb, (void *)pass);
        if (!ec) {
            OSSL_BIO_reset(in);
            ec = PEM_read_bio_EC_PUBKEY(in, NULL, ossl_pem_passwd_cb, (void *)pass);
        }
        if (!ec) {
            OSSL_BIO_reset(in);
            ec = d2i_ECPrivateKey_bio(in, NULL);
        }
        if (!ec) {
            OSSL_BIO_reset(in);
            ec = d2i_EC_PUBKEY_bio(in, NULL);
        }
        BIO_free(in);
        if (!ec) {
            ossl_clear_error();
            ec = ec_key_new_from_group(arg);
        }
    }
    if (!EVP_PKEY_assign_EC_KEY(pkey, ec)) {
        EC_KEY_free(ec);
        ossl_raise(eECError, "EVP_PKEY_assign_EC_KEY");
    }
    rb_iv_set(self, "@group", Qnil);
    return self;
}
/*
 *  call-seq:
 *     key.group   => group
 *
 *  Returns a constant <code>OpenSSL::EC::Group</code> that is tied to the key.
 *  Modifying the returned group can make the key invalid.
 */
static VALUE ossl_ec_key_get_group(VALUE self)
{
    VALUE group_v;
    EC_KEY *ec;
    ossl_ec_group *ec_group;
    EC_GROUP *group;
    Require_EC_KEY(self, ec);
    group_v = rb_iv_get(self, "@group");
    if (!NIL_P(group_v))
        return group_v;
    if ((group = (EC_GROUP *)EC_KEY_get0_group(ec)) != NULL) {
        group_v = rb_obj_alloc(cEC_GROUP);
        SafeGet_ec_group(group_v, ec_group);
        ec_group->group = group;
        ec_group->dont_free = 1;
        rb_iv_set(group_v, "@key", self);
        rb_iv_set(self, "@group", group_v);
        return group_v;
    }
    return Qnil;
}
/*
 *  call-seq:
 *     key.group = group   => group
 *
 *  Returns the same object passed, not the group object associated with the key.
 *  If you wish to access the group object tied to the key call key.group after setting
 *  the group.
 *
 *  Setting the group will immediately destroy any previously assigned group object.
 *  The group is internally copied by OpenSSL.  Modifying the original group after
 *  assignment will not effect the internal key structure.
 *  (your changes may be lost).  BE CAREFUL.
 *
 *  EC_KEY_set_group calls EC_GROUP_free(key->group) then EC_GROUP_dup(), not EC_GROUP_copy.
 *  This documentation is accurate for OpenSSL 0.9.8b.
 */
static VALUE ossl_ec_key_set_group(VALUE self, VALUE group_v)
{
    VALUE old_group_v;
    EC_KEY *ec;
    EC_GROUP *group;
    Require_EC_KEY(self, ec);
    SafeRequire_EC_GROUP(group_v, group);
    old_group_v = rb_iv_get(self, "@group");
    if (!NIL_P(old_group_v)) {
        ossl_ec_group *old_ec_group;
        SafeGet_ec_group(old_group_v, old_ec_group);
        old_ec_group->group = NULL;
        old_ec_group->dont_free = 0;
        rb_iv_set(old_group_v, "@key", Qnil);
    }
    rb_iv_set(self, "@group", Qnil);
    if (EC_KEY_set_group(ec, group) != 1)
        ossl_raise(eECError, "EC_KEY_set_group");
    return group_v;
}
/*
 *  call-seq:
 *     key.private_key   => OpenSSL::BN
 *
 *  See the OpenSSL documentation for EC_KEY_get0_private_key()
 */
static VALUE ossl_ec_key_get_private_key(VALUE self)
{
    EC_KEY *ec;
    const BIGNUM *bn;
    Require_EC_KEY(self, ec);
    if ((bn = EC_KEY_get0_private_key(ec)) == NULL)
        return Qnil;
    return ossl_bn_new(bn);
}
/*
 *  call-seq:
 *     key.private_key = openssl_bn
 *
 *  See the OpenSSL documentation for EC_KEY_set_private_key()
 */
static VALUE ossl_ec_key_set_private_key(VALUE self, VALUE private_key)
{
    EC_KEY *ec;
    BIGNUM *bn = NULL;
    Require_EC_KEY(self, ec);
    if (!NIL_P(private_key))
        bn = GetBNPtr(private_key);
    switch (EC_KEY_set_private_key(ec, bn)) {
    case 1:
        break;
    case 0:
        if (bn == NULL)
            break;
    default:
        ossl_raise(eECError, "EC_KEY_set_private_key");
    }
    return private_key;
}
static VALUE ossl_ec_point_dup(const EC_POINT *point, VALUE group_v)
{
    VALUE obj;
    const EC_GROUP *group;
    ossl_ec_point *new_point;
    obj = rb_obj_alloc(cEC_POINT);
    TypedData_Get_Struct(obj, ossl_ec_point, &ossl_ec_point_type, new_point);
    SafeRequire_EC_GROUP(group_v, group);
    new_point->point = EC_POINT_dup(point, group);
    if (new_point->point == NULL)
        ossl_raise(eEC_POINT, "EC_POINT_dup");
    rb_iv_set(obj, "@group", group_v);
    return obj;
}
/*
 *  call-seq:
 *     key.public_key   => OpenSSL::PKey::EC::Point
 *
 *  See the OpenSSL documentation for EC_KEY_get0_public_key()
 */
static VALUE ossl_ec_key_get_public_key(VALUE self)
{
    EC_KEY *ec;
    const EC_POINT *point;
    VALUE group;
    Require_EC_KEY(self, ec);
    if ((point = EC_KEY_get0_public_key(ec)) == NULL)
        return Qnil;
    group = rb_funcall(self, rb_intern("group"), 0);
    if (NIL_P(group))
        ossl_raise(eECError, "EC_KEY_get0_get0_group (has public_key but no group???");
    return ossl_ec_point_dup(point, group);
}
/*
 *  call-seq:
 *     key.public_key = ec_point
 *
 *  See the OpenSSL documentation for EC_KEY_set_public_key()
 */
static VALUE ossl_ec_key_set_public_key(VALUE self, VALUE public_key)
{
    EC_KEY *ec;
    EC_POINT *point = NULL;
    Require_EC_KEY(self, ec);
    if (!NIL_P(public_key))
        SafeRequire_EC_POINT(public_key, point);
    switch (EC_KEY_set_public_key(ec, point)) {
    case 1:
        break;
    case 0:
        if (point == NULL)
            break;
    default:
        ossl_raise(eECError, "EC_KEY_set_public_key");
    }
    return public_key;
}
/*
 *  call-seq:
 *     key.public? => true or false
 *
 *  Returns whether this EC instance has a public key. The public key
 *  (EC::Point) can be retrieved with EC#public_key.
 */
static VALUE ossl_ec_key_is_public(VALUE self)
{
    EC_KEY *ec;
    Require_EC_KEY(self, ec);
    return EC_KEY_get0_public_key(ec) ? Qtrue : Qfalse;
}
/*
 *  call-seq:
 *     key.private? => true or false
 *
 *  Returns whether this EC instance has a private key. The private key (BN) can
 *  be retrieved with EC#private_key.
 */
static VALUE ossl_ec_key_is_private(VALUE self)
{
    EC_KEY *ec;
    Require_EC_KEY(self, ec);
    return EC_KEY_get0_private_key(ec) ? Qtrue : Qfalse;
}
static VALUE ossl_ec_key_to_string(VALUE self, VALUE ciph, VALUE pass, int format)
{
    EC_KEY *ec;
    BIO *out;
    int i = -1;
    int private = 0;
    VALUE str;
    Require_EC_KEY(self, ec);
    if (EC_KEY_get0_public_key(ec) == NULL)
        ossl_raise(eECError, "can't export - no public key set");
    if (EC_KEY_check_key(ec) != 1)
        ossl_raise(eECError, "can't export - EC_KEY_check_key failed");
    if (EC_KEY_get0_private_key(ec))
        private = 1;
    if (!(out = BIO_new(BIO_s_mem())))
        ossl_raise(eECError, "BIO_new(BIO_s_mem())");
    switch(format) {
    case EXPORT_PEM:
        if (private) {
            const EVP_CIPHER *cipher = NULL;
            if (!NIL_P(ciph)) {
                cipher = GetCipherPtr(ciph);
                pass = ossl_pem_passwd_value(pass);
            }
            i = PEM_write_bio_ECPrivateKey(out, ec, cipher, NULL, 0, ossl_pem_passwd_cb, (void *)pass);
        } else {
            i = PEM_write_bio_EC_PUBKEY(out, ec);
        }
        break;
    case EXPORT_DER:
        if (private) {
            i = i2d_ECPrivateKey_bio(out, ec);
        } else {
            i = i2d_EC_PUBKEY_bio(out, ec);
        }
        break;
    default:
        BIO_free(out);
        ossl_raise(rb_eRuntimeError, "unknown format (internal error)");
    }
    if (i != 1) {
        BIO_free(out);
        ossl_raise(eECError, "outlen=%d", i);
    }
    str = ossl_membio2str(out);
    return str;
}
/*
 *  call-seq:
 *     key.export([cipher, pass_phrase]) => String
 *     key.to_pem([cipher, pass_phrase]) => String
 *
 * Outputs the EC key in PEM encoding.  If +cipher+ and +pass_phrase+ are
 * given they will be used to encrypt the key.  +cipher+ must be an
 * OpenSSL::Cipher::Cipher instance. Note that encryption will only be
 * effective for a private key, public keys will always be encoded in plain
 * text.
 *
 */
static VALUE ossl_ec_key_export(int argc, VALUE *argv, VALUE self)
{
    VALUE cipher, passwd;
    rb_scan_args(argc, argv, "02", &cipher, &passwd);
    return ossl_ec_key_to_string(self, cipher, passwd, EXPORT_PEM);
}
/*
 *  call-seq:
 *     key.to_der   => String
 *
 *  See the OpenSSL documentation for i2d_ECPrivateKey_bio()
 */
static VALUE ossl_ec_key_to_der(VALUE self)
{
    return ossl_ec_key_to_string(self, Qnil, Qnil, EXPORT_DER);
}
/*
 *  call-seq:
 *     key.to_text   => String
 *
 *  See the OpenSSL documentation for EC_KEY_print()
 */
static VALUE ossl_ec_key_to_text(VALUE self)
{
    EC_KEY *ec;
    BIO *out;
    VALUE str;
    Require_EC_KEY(self, ec);
    if (!(out = BIO_new(BIO_s_mem()))) {
        ossl_raise(eECError, "BIO_new(BIO_s_mem())");
    }
    if (!EC_KEY_print(out, ec, 0)) {
        BIO_free(out);
        ossl_raise(eECError, "EC_KEY_print");
    }
    str = ossl_membio2str(out);
    return str;
}
/*
 *  call-seq:
 *     key.generate_key!   => self
 *
 * Generates a new random private and public key.
 *
 * See also the OpenSSL documentation for EC_KEY_generate_key()
 *
 * === Example
 *   ec = OpenSSL::PKey::EC.new("prime256v1")
 *   p ec.private_key # => nil
 *   ec.generate_key!
 *   p ec.private_key # => #<OpenSSL::BN XXXXXX>
 */
static VALUE ossl_ec_key_generate_key(VALUE self)
{
    EC_KEY *ec;
    Require_EC_KEY(self, ec);
    if (EC_KEY_generate_key(ec) != 1)
        ossl_raise(eECError, "EC_KEY_generate_key");
    return self;
}
/*
 *  call-seq:
 *     key.check_key   => true
 *
 *  Raises an exception if the key is invalid.
 *
 *  See the OpenSSL documentation for EC_KEY_check_key()
 */
static VALUE ossl_ec_key_check_key(VALUE self)
{
    EC_KEY *ec;
    Require_EC_KEY(self, ec);
    if (EC_KEY_check_key(ec) != 1)
        ossl_raise(eECError, "EC_KEY_check_key");
    return Qtrue;
}
/*
 *  call-seq:
 *     key.dh_compute_key(pubkey)   => String
 *
 *  See the OpenSSL documentation for ECDH_compute_key()
 */
static VALUE ossl_ec_key_dh_compute_key(VALUE self, VALUE pubkey)
{
    EC_KEY *ec;
    EC_POINT *point;
    int buf_len;
    VALUE str;
    Require_EC_KEY(self, ec);
    SafeRequire_EC_POINT(pubkey, point);
/* BUG: need a way to figure out the maximum string size */
    buf_len = 1024;
    str = rb_str_new(0, buf_len);
/* BUG: take KDF as a block */
    buf_len = ECDH_compute_key(RSTRING_PTR(str), buf_len, point, ec, NULL);
    if (buf_len < 0)
         ossl_raise(eECError, "ECDH_compute_key");
    rb_str_resize(str, buf_len);
    return str;
}
/* sign_setup */
/*
 *  call-seq:
 *     key.dsa_sign_asn1(data)   => String
 *
 *  See the OpenSSL documentation for ECDSA_sign()
 */
static VALUE ossl_ec_key_dsa_sign_asn1(VALUE self, VALUE data)
{
    EC_KEY *ec;
    unsigned int buf_len;
    VALUE str;
    Require_EC_KEY(self, ec);
    StringValue(data);
    if (EC_KEY_get0_private_key(ec) == NULL)
        ossl_raise(eECError, "Private EC key needed!");
    str = rb_str_new(0, ECDSA_size(ec) + 16);
    if (ECDSA_sign(0, (unsigned char *) RSTRING_PTR(data), RSTRING_LENINT(data), (unsigned char *) RSTRING_PTR(str), &buf_len, ec) != 1)
         ossl_raise(eECError, "ECDSA_sign");
    rb_str_resize(str, buf_len);
    return str;
}
/*
 *  call-seq:
 *     key.dsa_verify_asn1(data, sig)   => true or false
 *
 *  See the OpenSSL documentation for ECDSA_verify()
 */
static VALUE ossl_ec_key_dsa_verify_asn1(VALUE self, VALUE data, VALUE sig)
{
    EC_KEY *ec;
    Require_EC_KEY(self, ec);
    StringValue(data);
    StringValue(sig);
    switch (ECDSA_verify(0, (unsigned char *) RSTRING_PTR(data), RSTRING_LENINT(data), (unsigned char *) RSTRING_PTR(sig), (int)RSTRING_LEN(sig), ec)) {
    case 1:     return Qtrue;
    case 0:     return Qfalse;
    default:    break;
    }
    ossl_raise(eECError, "ECDSA_verify");
    UNREACHABLE;
}
static void ossl_ec_group_free(void *ptr)
{
    ossl_ec_group *ec_group = ptr;
    if (!ec_group->dont_free && ec_group->group)
        EC_GROUP_clear_free(ec_group->group);
    ruby_xfree(ec_group);
}
static const rb_data_type_t ossl_ec_group_type = {
    "OpenSSL/ec_group",
    {
        0, ossl_ec_group_free,
    },
    0, 0, RUBY_TYPED_FREE_IMMEDIATELY,
};
static VALUE ossl_ec_group_alloc(VALUE klass)
{
    ossl_ec_group *ec_group;
    VALUE obj;
    obj = TypedData_Make_Struct(klass, ossl_ec_group, &ossl_ec_group_type, ec_group);
    return obj;
}
/*  call-seq:
 *     OpenSSL::PKey::EC::Group.new("secp112r1")
 *     OpenSSL::PKey::EC::Group.new(ec_group)
 *     OpenSSL::PKey::EC::Group.new(pem_string)
 *     OpenSSL::PKey::EC::Group.new(der_string)
 *     OpenSSL::PKey::EC::Group.new(pem_file)
 *     OpenSSL::PKey::EC::Group.new(der_file)
 *     OpenSSL::PKey::EC::Group.new(:GFp_simple)
 *     OpenSSL::PKey::EC::Group.new(:GFp_mult)
 *     OpenSSL::PKey::EC::Group.new(:GFp_nist)
 *     OpenSSL::PKey::EC::Group.new(:GF2m_simple)
 *     OpenSSL::PKey::EC::Group.new(:GFp, bignum_p, bignum_a, bignum_b)
 *     OpenSSL::PKey::EC::Group.new(:GF2m, bignum_p, bignum_a, bignum_b)
 *
 *  See the OpenSSL documentation for EC_GROUP_*
 */
static VALUE ossl_ec_group_initialize(int argc, VALUE *argv, VALUE self)
{
    VALUE arg1, arg2, arg3, arg4;
    ossl_ec_group *ec_group;
    EC_GROUP *group = NULL;
    TypedData_Get_Struct(self, ossl_ec_group, &ossl_ec_group_type, ec_group);
    if (ec_group->group != NULL)
        ossl_raise(rb_eRuntimeError, "EC_GROUP is already initialized");
    switch (rb_scan_args(argc, argv, "13", &arg1, &arg2, &arg3, &arg4)) {
    case 1:
        if (SYMBOL_P(arg1)) {
            const EC_METHOD *method = NULL;
            ID id = SYM2ID(arg1);
            if (id == s_GFp_simple) {
                method = EC_GFp_simple_method();
            } else if (id == s_GFp_mont) {
                method = EC_GFp_mont_method();
            } else if (id == s_GFp_nist) {
                method = EC_GFp_nist_method();
#if !defined(OPENSSL_NO_EC2M)
            } else if (id == s_GF2m_simple) {
                method = EC_GF2m_simple_method();
#endif
            }
            if (method) {
                if ((group = EC_GROUP_new(method)) == NULL)
                    ossl_raise(eEC_GROUP, "EC_GROUP_new");
            } else {
                ossl_raise(rb_eArgError, "unknown symbol, must be :GFp_simple, :GFp_mont, :GFp_nist or :GF2m_simple");
            }
        } else if (rb_obj_is_kind_of(arg1, cEC_GROUP)) {
            const EC_GROUP *arg1_group;
            SafeRequire_EC_GROUP(arg1, arg1_group);
            if ((group = EC_GROUP_dup(arg1_group)) == NULL)
                ossl_raise(eEC_GROUP, "EC_GROUP_dup");
        } else {
            BIO *in = ossl_obj2bio(arg1);
            group = PEM_read_bio_ECPKParameters(in, NULL, NULL, NULL);
            if (!group) {
                OSSL_BIO_reset(in);
                group = d2i_ECPKParameters_bio(in, NULL);
            }
            BIO_free(in);
            if (!group) {
                const char *name = StringValueCStr(arg1);
                int nid = OBJ_sn2nid(name);
                ossl_clear_error(); /* ignore errors in d2i_ECPKParameters_bio() */
                if (nid == NID_undef)
                    ossl_raise(eEC_GROUP, "unknown curve name (%"PRIsVALUE")", arg1);
                group = EC_GROUP_new_by_curve_name(nid);
                if (group == NULL)
                    ossl_raise(eEC_GROUP, "unable to create curve (%"PRIsVALUE")", arg1);
                EC_GROUP_set_asn1_flag(group, OPENSSL_EC_NAMED_CURVE);
                EC_GROUP_set_point_conversion_form(group, POINT_CONVERSION_UNCOMPRESSED);
            }
        }
        break;
    case 4:
        if (SYMBOL_P(arg1)) {
            ID id = SYM2ID(arg1);
            EC_GROUP *(*new_curve)(const BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *) = NULL;
            const BIGNUM *p = GetBNPtr(arg2);
            const BIGNUM *a = GetBNPtr(arg3);
            const BIGNUM *b = GetBNPtr(arg4);
            if (id == s_GFp) {
                new_curve = EC_GROUP_new_curve_GFp;
#if !defined(OPENSSL_NO_EC2M)
            } else if (id == s_GF2m) {
                new_curve = EC_GROUP_new_curve_GF2m;
#endif
            } else {
                ossl_raise(rb_eArgError, "unknown symbol, must be :GFp or :GF2m");
            }
            if ((group = new_curve(p, a, b, ossl_bn_ctx)) == NULL)
                ossl_raise(eEC_GROUP, "EC_GROUP_new_by_GF*");
        } else {
             ossl_raise(rb_eArgError, "unknown argument, must be :GFp or :GF2m");
        }
        break;
    default:
        ossl_raise(rb_eArgError, "wrong number of arguments");
    }
    if (group == NULL)
        ossl_raise(eEC_GROUP, "");
    ec_group->group = group;
    return self;
}
/*  call-seq:
 *     group1.eql?(group2)   => true | false
 *     group1 == group2   => true | false
 *
 */
static VALUE ossl_ec_group_eql(VALUE a, VALUE b)
{
    EC_GROUP *group1 = NULL, *group2 = NULL;
    Require_EC_GROUP(a, group1);
    SafeRequire_EC_GROUP(b, group2);
    if (EC_GROUP_cmp(group1, group2, ossl_bn_ctx) == 1)
       return Qfalse;
    return Qtrue;
}
/*  call-seq:
 *     group.generator   => ec_point
 *
 *  See the OpenSSL documentation for EC_GROUP_get0_generator()
 */
static VALUE ossl_ec_group_get_generator(VALUE self)
{
    VALUE point_obj;
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    point_obj = ossl_ec_point_dup(EC_GROUP_get0_generator(group), self);
    return point_obj;
}
/*  call-seq:
 *     group.set_generator(generator, order, cofactor)   => self
 *
 *  See the OpenSSL documentation for EC_GROUP_set_generator()
 */
static VALUE ossl_ec_group_set_generator(VALUE self, VALUE generator, VALUE order, VALUE cofactor)
{
    EC_GROUP *group = NULL;
    const EC_POINT *point;
    const BIGNUM *o, *co;
    Require_EC_GROUP(self, group);
    SafeRequire_EC_POINT(generator, point);
    o = GetBNPtr(order);
    co = GetBNPtr(cofactor);
    if (EC_GROUP_set_generator(group, point, o, co) != 1)
        ossl_raise(eEC_GROUP, "EC_GROUP_set_generator");
    return self;
}
/*  call-seq:
 *     group.get_order   => order_bn
 *
 *  See the OpenSSL documentation for EC_GROUP_get_order()
 */
static VALUE ossl_ec_group_get_order(VALUE self)
{
    VALUE bn_obj;
    BIGNUM *bn;
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    bn_obj = ossl_bn_new(NULL);
    bn = GetBNPtr(bn_obj);
    if (EC_GROUP_get_order(group, bn, ossl_bn_ctx) != 1)
        ossl_raise(eEC_GROUP, "EC_GROUP_get_order");
    return bn_obj;
}
/*  call-seq:
 *     group.get_cofactor   => cofactor_bn
 *
 *  See the OpenSSL documentation for EC_GROUP_get_cofactor()
 */
static VALUE ossl_ec_group_get_cofactor(VALUE self)
{
    VALUE bn_obj;
    BIGNUM *bn;
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    bn_obj = ossl_bn_new(NULL);
    bn = GetBNPtr(bn_obj);
    if (EC_GROUP_get_cofactor(group, bn, ossl_bn_ctx) != 1)
        ossl_raise(eEC_GROUP, "EC_GROUP_get_cofactor");
    return bn_obj;
}
/*  call-seq:
 *     group.curve_name  => String
 *
 *  See the OpenSSL documentation for EC_GROUP_get_curve_name()
 */
static VALUE ossl_ec_group_get_curve_name(VALUE self)
{
    EC_GROUP *group = NULL;
    int nid;
    Get_EC_GROUP(self, group);
    if (group == NULL)
        return Qnil;
    nid = EC_GROUP_get_curve_name(group);
/* BUG: an nid or asn1 object should be returned, maybe. */
    return rb_str_new2(OBJ_nid2sn(nid));
}
/*  call-seq:
 *     EC.builtin_curves => [[name, comment], ...]
 *
 *  See the OpenSSL documentation for EC_builtin_curves()
 */
static VALUE ossl_s_builtin_curves(VALUE self)
{
    EC_builtin_curve *curves = NULL;
    int n;
    int crv_len = rb_long2int(EC_get_builtin_curves(NULL, 0));
    VALUE ary, ret;
    curves = ALLOCA_N(EC_builtin_curve, crv_len);
    if (curves == NULL)
        return Qnil;
    if (!EC_get_builtin_curves(curves, crv_len))
        ossl_raise(rb_eRuntimeError, "EC_get_builtin_curves");
    ret = rb_ary_new2(crv_len);
    for (n = 0; n < crv_len; n++) {
        const char *sname = OBJ_nid2sn(curves[n].nid);
        const char *comment = curves[n].comment;
        ary = rb_ary_new2(2);
        rb_ary_push(ary, rb_str_new2(sname));
        rb_ary_push(ary, comment ? rb_str_new2(comment) : Qnil);
        rb_ary_push(ret, ary);
    }
    return ret;
}
/*  call-seq:
 *     group.asn1_flag  => Fixnum
 *
 *  See the OpenSSL documentation for EC_GROUP_get_asn1_flag()
 */
static VALUE ossl_ec_group_get_asn1_flag(VALUE self)
{
    EC_GROUP *group = NULL;
    int flag;
    Require_EC_GROUP(self, group);
    flag = EC_GROUP_get_asn1_flag(group);
    return INT2FIX(flag);
}
/*  call-seq:
 *     group.asn1_flag = Fixnum   => Fixnum
 *
 *  See the OpenSSL documentation for EC_GROUP_set_asn1_flag()
 */
static VALUE ossl_ec_group_set_asn1_flag(VALUE self, VALUE flag_v)
{
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    EC_GROUP_set_asn1_flag(group, NUM2INT(flag_v));
    return flag_v;
}
/*  call-seq:
 *     group.point_conversion_form  => :uncompressed | :compressed | :hybrid
 *
 *  See the OpenSSL documentation for EC_GROUP_get_point_conversion_form()
 */
static VALUE ossl_ec_group_get_point_conversion_form(VALUE self)
{
    EC_GROUP *group = NULL;
    point_conversion_form_t form;
    VALUE ret;
    Require_EC_GROUP(self, group);
    form = EC_GROUP_get_point_conversion_form(group);
    switch (form) {
    case POINT_CONVERSION_UNCOMPRESSED: ret = ID_uncompressed; break;
    case POINT_CONVERSION_COMPRESSED:   ret = ID_compressed; break;
    case POINT_CONVERSION_HYBRID:       ret = ID_hybrid; break;
    default:    ossl_raise(eEC_GROUP, "unsupported point conversion form: %d, this module should be updated", form);
    }
   return ID2SYM(ret);
}
/*  call-seq:
 *     group.point_conversion_form = form => form
 *
 *  See the OpenSSL documentation for EC_GROUP_set_point_conversion_form()
 */
static VALUE ossl_ec_group_set_point_conversion_form(VALUE self, VALUE form_v)
{
    EC_GROUP *group = NULL;
    point_conversion_form_t form;
    ID form_id = SYM2ID(form_v);
    Require_EC_GROUP(self, group);
    if (form_id == ID_uncompressed) {
        form = POINT_CONVERSION_UNCOMPRESSED;
    } else if (form_id == ID_compressed) {
        form = POINT_CONVERSION_COMPRESSED;
    } else if (form_id == ID_hybrid) {
        form = POINT_CONVERSION_HYBRID;
    } else {
        ossl_raise(rb_eArgError, "form must be :compressed, :uncompressed, or :hybrid");
    }
    EC_GROUP_set_point_conversion_form(group, form);
    return form_v;
}
/*  call-seq:
 *     group.seed   => String or nil
 *
 *  See the OpenSSL documentation for EC_GROUP_get0_seed()
 */
static VALUE ossl_ec_group_get_seed(VALUE self)
{
    EC_GROUP *group = NULL;
    size_t seed_len;
    Require_EC_GROUP(self, group);
    seed_len = EC_GROUP_get_seed_len(group);
    if (seed_len == 0)
        return Qnil;
    return rb_str_new((const char *)EC_GROUP_get0_seed(group), seed_len);
}
/*  call-seq:
 *     group.seed = seed  => seed
 *
 *  See the OpenSSL documentation for EC_GROUP_set_seed()
 */
static VALUE ossl_ec_group_set_seed(VALUE self, VALUE seed)
{
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    StringValue(seed);
    if (EC_GROUP_set_seed(group, (unsigned char *)RSTRING_PTR(seed), RSTRING_LEN(seed)) != (size_t)RSTRING_LEN(seed))
        ossl_raise(eEC_GROUP, "EC_GROUP_set_seed");
    return seed;
}
/* get/set curve GFp, GF2m */
/*  call-seq:
 *     group.degree   => Fixnum
 *
 *  See the OpenSSL documentation for EC_GROUP_get_degree()
 */
static VALUE ossl_ec_group_get_degree(VALUE self)
{
    EC_GROUP *group = NULL;
    Require_EC_GROUP(self, group);
    return INT2NUM(EC_GROUP_get_degree(group));
}
static VALUE ossl_ec_group_to_string(VALUE self, int format)
{
    EC_GROUP *group;
    BIO *out;
    int i = -1;
    VALUE str;
    Get_EC_GROUP(self, group);
    if (!(out = BIO_new(BIO_s_mem())))
        ossl_raise(eEC_GROUP, "BIO_new(BIO_s_mem())");
    switch(format) {
    case EXPORT_PEM:
        i = PEM_write_bio_ECPKParameters(out, group);
        break;
    case EXPORT_DER:
        i = i2d_ECPKParameters_bio(out, group);
        break;
    default:
        BIO_free(out);
        ossl_raise(rb_eRuntimeError, "unknown format (internal error)");
    }
    if (i != 1) {
        BIO_free(out);
        ossl_raise(eECError, NULL);
    }
    str = ossl_membio2str(out);
    return str;
}
/*  call-seq:
 *     group.to_pem   => String
 *
 *  See the OpenSSL documentation for PEM_write_bio_ECPKParameters()
 */
static VALUE ossl_ec_group_to_pem(VALUE self)
{
    return ossl_ec_group_to_string(self, EXPORT_PEM);
}
/*  call-seq:
 *     group.to_der   => String
 *
 *  See the OpenSSL documentation for i2d_ECPKParameters_bio()
 */
static VALUE ossl_ec_group_to_der(VALUE self)
{
    return ossl_ec_group_to_string(self, EXPORT_DER);
}
/*  call-seq:
 *     group.to_text   => String
 *
 *  See the OpenSSL documentation for ECPKParameters_print()
 */
static VALUE ossl_ec_group_to_text(VALUE self)
{
    EC_GROUP *group;
    BIO *out;
    VALUE str;
    Require_EC_GROUP(self, group);
    if (!(out = BIO_new(BIO_s_mem()))) {
        ossl_raise(eEC_GROUP, "BIO_new(BIO_s_mem())");
    }
    if (!ECPKParameters_print(out, group, 0)) {
        BIO_free(out);
        ossl_raise(eEC_GROUP, NULL);
    }
    str = ossl_membio2str(out);
    return str;
}
static void ossl_ec_point_free(void *ptr)
{
    ossl_ec_point *ec_point = ptr;
    if (!ec_point->dont_free && ec_point->point)
        EC_POINT_clear_free(ec_point->point);
    ruby_xfree(ec_point);
}
static const rb_data_type_t ossl_ec_point_type = {
    "OpenSSL/ec_point",
    {
        0, ossl_ec_point_free,
    },
    0, 0, RUBY_TYPED_FREE_IMMEDIATELY,
};
static VALUE ossl_ec_point_alloc(VALUE klass)
{
    ossl_ec_point *ec_point;
    VALUE obj;
    obj = TypedData_Make_Struct(klass, ossl_ec_point, &ossl_ec_point_type, ec_point);
    return obj;
}
/*
 *  call-seq:
 *     OpenSSL::PKey::EC::Point.new(point)
 *     OpenSSL::PKey::EC::Point.new(group)
 *     OpenSSL::PKey::EC::Point.new(group, bn)
 *
 *  See the OpenSSL documentation for EC_POINT_*
 */
static VALUE ossl_ec_point_initialize(int argc, VALUE *argv, VALUE self)
{
    ossl_ec_point *ec_point;
    EC_POINT *point = NULL;
    VALUE arg1, arg2;
    VALUE group_v = Qnil;
    const EC_GROUP *group = NULL;
    TypedData_Get_Struct(self, ossl_ec_point, &ossl_ec_point_type, ec_point);
    if (ec_point->point)
        ossl_raise(eEC_POINT, "EC_POINT already initialized");
    switch (rb_scan_args(argc, argv, "11", &arg1, &arg2)) {
    case 1:
        if (rb_obj_is_kind_of(arg1, cEC_POINT)) {
            const EC_POINT *arg_point;
            group_v = rb_iv_get(arg1, "@group");
            SafeRequire_EC_GROUP(group_v, group);
            SafeRequire_EC_POINT(arg1, arg_point);
            point = EC_POINT_dup(arg_point, group);
        } else if (rb_obj_is_kind_of(arg1, cEC_GROUP)) {
            group_v = arg1;
            SafeRequire_EC_GROUP(group_v, group);
            point = EC_POINT_new(group);
        } else {
            ossl_raise(eEC_POINT, "wrong argument type: must be OpenSSL::PKey::EC::Point or OpenSSL::Pkey::EC::Group");
        }
        break;
     case 2:
        if (!rb_obj_is_kind_of(arg1, cEC_GROUP))
            ossl_raise(rb_eArgError, "1st argument must be OpenSSL::PKey::EC::Group");
        group_v = arg1;
        SafeRequire_EC_GROUP(group_v, group);
        if (rb_obj_is_kind_of(arg2, cBN)) {
            const BIGNUM *bn = GetBNPtr(arg2);
            point = EC_POINT_bn2point(group, bn, NULL, ossl_bn_ctx);
        } else {
            BIO *in = ossl_obj2bio(arg1);
/* BUG: finish me */
            BIO_free(in);
            if (point == NULL) {
                ossl_raise(eEC_POINT, "unknown type for 2nd arg");
            }
        }
        break;
    default:
        ossl_raise(rb_eArgError, "wrong number of arguments");
    }
    if (point == NULL)
        ossl_raise(eEC_POINT, NULL);
    if (NIL_P(group_v))
        ossl_raise(rb_eRuntimeError, "missing group (internal error)");
    ec_point->point = point;
    rb_iv_set(self, "@group", group_v);
    return self;
}
/*
 *  call-seq:
 *     point1.eql?(point2) => true | false
 *     point1 == point2 => true | false
 *
 */
static VALUE ossl_ec_point_eql(VALUE a, VALUE b)
{
    EC_POINT *point1, *point2;
    VALUE group_v1 = rb_iv_get(a, "@group");
    VALUE group_v2 = rb_iv_get(b, "@group");
    const EC_GROUP *group;
    if (ossl_ec_group_eql(group_v1, group_v2) == Qfalse)
        return Qfalse;
    Require_EC_POINT(a, point1);
    SafeRequire_EC_POINT(b, point2);
    SafeRequire_EC_GROUP(group_v1, group);
    if (EC_POINT_cmp(group, point1, point2, ossl_bn_ctx) == 1)
        return Qfalse;
    return Qtrue;
}
/*
 *  call-seq:
 *     point.infinity? => true | false
 *
 */
static VALUE ossl_ec_point_is_at_infinity(VALUE self)
{
    EC_POINT *point;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    switch (EC_POINT_is_at_infinity(group, point)) {
    case 1: return Qtrue;
    case 0: return Qfalse;
    default: ossl_raise(cEC_POINT, "EC_POINT_is_at_infinity");
    }
    UNREACHABLE;
}
/*
 *  call-seq:
 *     point.on_curve? => true | false
 *
 */
static VALUE ossl_ec_point_is_on_curve(VALUE self)
{
    EC_POINT *point;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    switch (EC_POINT_is_on_curve(group, point, ossl_bn_ctx)) {
    case 1: return Qtrue;
    case 0: return Qfalse;
    default: ossl_raise(cEC_POINT, "EC_POINT_is_on_curve");
    }
    UNREACHABLE;
}
/*
 *  call-seq:
 *     point.make_affine! => self
 *
 */
static VALUE ossl_ec_point_make_affine(VALUE self)
{
    EC_POINT *point;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    if (EC_POINT_make_affine(group, point, ossl_bn_ctx) != 1)
        ossl_raise(cEC_POINT, "EC_POINT_make_affine");
    return self;
}
/*
 *  call-seq:
 *     point.invert! => self
 *
 */
static VALUE ossl_ec_point_invert(VALUE self)
{
    EC_POINT *point;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    if (EC_POINT_invert(group, point, ossl_bn_ctx) != 1)
        ossl_raise(cEC_POINT, "EC_POINT_invert");
    return self;
}
/*
 *  call-seq:
 *     point.set_to_infinity! => self
 *
 */
static VALUE ossl_ec_point_set_to_infinity(VALUE self)
{
    EC_POINT *point;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    if (EC_POINT_set_to_infinity(group, point) != 1)
        ossl_raise(cEC_POINT, "EC_POINT_set_to_infinity");
    return self;
}
/*
 *  call-seq:
 *     point.to_bn   => OpenSSL::BN
 *
 *  See the OpenSSL documentation for EC_POINT_point2bn()
 */
static VALUE ossl_ec_point_to_bn(VALUE self)
{
    EC_POINT *point;
    VALUE bn_obj;
    VALUE group_v = rb_iv_get(self, "@group");
    const EC_GROUP *group;
    point_conversion_form_t form;
    BIGNUM *bn;
    Require_EC_POINT(self, point);
    SafeRequire_EC_GROUP(group_v, group);
    form = EC_GROUP_get_point_conversion_form(group);
    bn_obj = rb_obj_alloc(cBN);
    bn = GetBNPtr(bn_obj);
    if (EC_POINT_point2bn(group, point, form, bn, ossl_bn_ctx) == NULL)
        ossl_raise(eEC_POINT, "EC_POINT_point2bn");
    return bn_obj;
}
/*
 *  call-seq:
 *     point.mul(bn1 [, bn2]) => point
 *     point.mul(bns, points [, bn2]) => point
 *
 * Performs elliptic curve point multiplication.
 *
 * The first form calculates <tt>bn1 * point + bn2 * G</tt>, where +G+ is the
 * generator of the group of +point+. +bn2+ may be ommitted, and in that case,
 * the result is just <tt>bn1 * point</tt>.
 *
 * The second form calculates <tt>bns[0] * point + bns[1] * points[0] + ...
 * + bns[-1] * points[-1] + bn2 * G</tt>. +bn2+ may be ommitted. +bns+ must be
 * an array of OpenSSL::BN. +points+ must be an array of
 * OpenSSL::PKey::EC::Point. Please note that <tt>points[0]</tt> is not
 * multiplied by <tt>bns[0]</tt>, but <tt>bns[1]</tt>.
 */
static VALUE ossl_ec_point_mul(int argc, VALUE *argv, VALUE self)
{
    EC_POINT *point_self, *point_result;
    const EC_GROUP *group;
    VALUE group_v = rb_iv_get(self, "@group");
    VALUE arg1, arg2, arg3, result;
    const BIGNUM *bn_g = NULL;
    Require_EC_POINT(self, point_self);
    SafeRequire_EC_GROUP(group_v, group);
    result = rb_obj_alloc(cEC_POINT);
    ossl_ec_point_initialize(1, &group_v, result);
    Require_EC_POINT(result, point_result);
    rb_scan_args(argc, argv, "12", &arg1, &arg2, &arg3);
    if (rb_obj_is_kind_of(arg1, cBN)) {
        BIGNUM *bn = GetBNPtr(arg1);
        if (argc >= 2)
            bn_g = GetBNPtr(arg2);
        if (EC_POINT_mul(group, point_result, bn_g, point_self, bn, ossl_bn_ctx) != 1)
            ossl_raise(eEC_POINT, NULL);
    } else {
        /*
         * bignums | arg1[0] | arg1[1] | arg1[2] | ...
         * points  | self    | arg2[0] | arg2[1] | ...
         */
        long i, num;
        VALUE tmp_p, tmp_b;
        const EC_POINT **points;
        const BIGNUM **bignums;
        if (!rb_obj_is_kind_of(arg1, rb_cArray) ||
            !rb_obj_is_kind_of(arg2, rb_cArray))
            ossl_raise(rb_eTypeError, "points must be array");
        if (RARRAY_LEN(arg1) != RARRAY_LEN(arg2) + 1) /* arg2 must be 1 larger */
            ossl_raise(rb_eArgError, "bns must be 1 longer than points; see the documentation");
        num = RARRAY_LEN(arg1);
        bignums = ALLOCV_N(const BIGNUM *, tmp_b, num);
        for (i = 0; i < num; i++)
            bignums[i] = GetBNPtr(RARRAY_AREF(arg1, i));
        points = ALLOCV_N(const EC_POINT *, tmp_p, num);
        points[0] = point_self; /* self */
        for (i = 0; i < num - 1; i++)
            SafeRequire_EC_POINT(RARRAY_AREF(arg2, i), points[i + 1]);
        if (argc >= 3)
            bn_g = GetBNPtr(arg3);
        if (EC_POINTs_mul(group, point_result, bn_g, num, points, bignums, ossl_bn_ctx) != 1) {
            ALLOCV_END(tmp_b);
            ALLOCV_END(tmp_p);
            ossl_raise(eEC_POINT, NULL);
        }
        ALLOCV_END(tmp_b);
        ALLOCV_END(tmp_p);
    }
    return result;
}
static void no_copy(VALUE klass)
{
    rb_undef_method(klass, "copy");
    rb_undef_method(klass, "clone");
    rb_undef_method(klass, "dup");
    rb_undef_method(klass, "initialize_copy");
}
void Init_ossl_ec(void)
{
#ifdef DONT_NEED_RDOC_WORKAROUND
    mOSSL = rb_define_module("OpenSSL");
    mPKey = rb_define_module_under(mOSSL, "PKey");
#endif
    eECError = rb_define_class_under(mPKey, "ECError", ePKeyError);
    cEC = rb_define_class_under(mPKey, "EC", cPKey);
    cEC_GROUP = rb_define_class_under(cEC, "Group", rb_cObject);
    cEC_POINT = rb_define_class_under(cEC, "Point", rb_cObject);
    eEC_GROUP = rb_define_class_under(cEC_GROUP, "Error", eOSSLError);
    eEC_POINT = rb_define_class_under(cEC_POINT, "Error", eOSSLError);
    s_GFp = rb_intern("GFp");
    s_GF2m = rb_intern("GF2m");
    s_GFp_simple = rb_intern("GFp_simple");
    s_GFp_mont = rb_intern("GFp_mont");
    s_GFp_nist = rb_intern("GFp_nist");
    s_GF2m_simple = rb_intern("GF2m_simple");
    ID_uncompressed = rb_intern("uncompressed");
    ID_compressed = rb_intern("compressed");
    ID_hybrid = rb_intern("hybrid");
    rb_define_const(cEC, "NAMED_CURVE", ULONG2NUM(OPENSSL_EC_NAMED_CURVE));
    rb_define_singleton_method(cEC, "builtin_curves", ossl_s_builtin_curves, 0);
    rb_define_singleton_method(cEC, "generate", ossl_ec_key_s_generate, 1);
    rb_define_method(cEC, "initialize", ossl_ec_key_initialize, -1);
/* copy/dup/cmp */
    rb_define_method(cEC, "group", ossl_ec_key_get_group, 0);
    rb_define_method(cEC, "group=", ossl_ec_key_set_group, 1);
    rb_define_method(cEC, "private_key", ossl_ec_key_get_private_key, 0);
    rb_define_method(cEC, "private_key=", ossl_ec_key_set_private_key, 1);
    rb_define_method(cEC, "public_key", ossl_ec_key_get_public_key, 0);
    rb_define_method(cEC, "public_key=", ossl_ec_key_set_public_key, 1);
    rb_define_method(cEC, "private?", ossl_ec_key_is_private, 0);
    rb_define_method(cEC, "public?", ossl_ec_key_is_public, 0);
    rb_define_alias(cEC, "private_key?", "private?");
    rb_define_alias(cEC, "public_key?", "public?");
/*  rb_define_method(cEC, "", ossl_ec_key_get_, 0);
    rb_define_method(cEC, "=", ossl_ec_key_set_ 1);
    set/get enc_flags
    set/get _conv_from
    set/get asn1_flag (can use ruby to call self.group.asn1_flag)
    set/get precompute_mult
*/
    rb_define_method(cEC, "generate_key!", ossl_ec_key_generate_key, 0);
    rb_define_alias(cEC, "generate_key", "generate_key!");
    rb_define_method(cEC, "check_key", ossl_ec_key_check_key, 0);
    rb_define_method(cEC, "dh_compute_key", ossl_ec_key_dh_compute_key, 1);
    rb_define_method(cEC, "dsa_sign_asn1", ossl_ec_key_dsa_sign_asn1, 1);
    rb_define_method(cEC, "dsa_verify_asn1", ossl_ec_key_dsa_verify_asn1, 2);
/* do_sign/do_verify */
    rb_define_method(cEC, "export", ossl_ec_key_export, -1);
    rb_define_alias(cEC, "to_pem", "export");
    rb_define_method(cEC, "to_der", ossl_ec_key_to_der, 0);
    rb_define_method(cEC, "to_text", ossl_ec_key_to_text, 0);
    rb_define_alloc_func(cEC_GROUP, ossl_ec_group_alloc);
    rb_define_method(cEC_GROUP, "initialize", ossl_ec_group_initialize, -1);
    rb_define_method(cEC_GROUP, "eql?", ossl_ec_group_eql, 1);
    rb_define_alias(cEC_GROUP, "==", "eql?");
/* copy/dup/cmp */
    rb_define_method(cEC_GROUP, "generator", ossl_ec_group_get_generator, 0);
    rb_define_method(cEC_GROUP, "set_generator", ossl_ec_group_set_generator, 3);
    rb_define_method(cEC_GROUP, "order", ossl_ec_group_get_order, 0);
    rb_define_method(cEC_GROUP, "cofactor", ossl_ec_group_get_cofactor, 0);
    rb_define_method(cEC_GROUP, "curve_name", ossl_ec_group_get_curve_name, 0);
/*    rb_define_method(cEC_GROUP, "curve_name=", ossl_ec_group_set_curve_name, 1); */
    rb_define_method(cEC_GROUP, "asn1_flag", ossl_ec_group_get_asn1_flag, 0);
    rb_define_method(cEC_GROUP, "asn1_flag=", ossl_ec_group_set_asn1_flag, 1);
    rb_define_method(cEC_GROUP, "point_conversion_form", ossl_ec_group_get_point_conversion_form, 0);
    rb_define_method(cEC_GROUP, "point_conversion_form=", ossl_ec_group_set_point_conversion_form, 1);
    rb_define_method(cEC_GROUP, "seed", ossl_ec_group_get_seed, 0);
    rb_define_method(cEC_GROUP, "seed=", ossl_ec_group_set_seed, 1);
/* get/set GFp, GF2m */
    rb_define_method(cEC_GROUP, "degree", ossl_ec_group_get_degree, 0);
/* check* */
    rb_define_method(cEC_GROUP, "to_pem", ossl_ec_group_to_pem, 0);
    rb_define_method(cEC_GROUP, "to_der", ossl_ec_group_to_der, 0);
    rb_define_method(cEC_GROUP, "to_text", ossl_ec_group_to_text, 0);
    rb_define_alloc_func(cEC_POINT, ossl_ec_point_alloc);
    rb_define_method(cEC_POINT, "initialize", ossl_ec_point_initialize, -1);
    rb_attr(cEC_POINT, rb_intern("group"), 1, 0, 0);
    rb_define_method(cEC_POINT, "eql?", ossl_ec_point_eql, 1);
    rb_define_alias(cEC_POINT, "==", "eql?");
    rb_define_method(cEC_POINT, "infinity?", ossl_ec_point_is_at_infinity, 0);
    rb_define_method(cEC_POINT, "on_curve?", ossl_ec_point_is_on_curve, 0);
    rb_define_method(cEC_POINT, "make_affine!", ossl_ec_point_make_affine, 0);
    rb_define_method(cEC_POINT, "invert!", ossl_ec_point_invert, 0);
    rb_define_method(cEC_POINT, "set_to_infinity!", ossl_ec_point_set_to_infinity, 0);
/* all the other methods */
    rb_define_method(cEC_POINT, "to_bn", ossl_ec_point_to_bn, 0);
    rb_define_method(cEC_POINT, "mul", ossl_ec_point_mul, -1);
    no_copy(cEC);
    no_copy(cEC_GROUP);
    no_copy(cEC_POINT);
}
#else /* defined NO_EC */
void Init_ossl_ec(void)
{
}
#endif /* NO_EC */