xref: /dragonfly/crypto/libressl/crypto/ec/ec_lib.c (revision 961e30ea7dc61d1112b778ea4981eac68129fb86)

/* $OpenBSD: ec_lib.c,v 1.45 2022/04/07 17:37:25 tb Exp $ */
/*
 * Originally written by Bodo Moeller for the OpenSSL project.
 */
/* ====================================================================
 * Copyright (c) 1998-2003 The OpenSSL Project.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in
 *    the documentation and/or other materials provided with the
 *    distribution.
 *
 * 3. All advertising materials mentioning features or use of this
 *    software must display the following acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
 *
 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
 *    endorse or promote products derived from this software without
 *    prior written permission. For written permission, please contact
 *    openssl-core@openssl.org.
 *
 * 5. Products derived from this software may not be called "OpenSSL"
 *    nor may "OpenSSL" appear in their names without prior written
 *    permission of the OpenSSL Project.
 *
 * 6. Redistributions of any form whatsoever must retain the following
 *    acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
 *
 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
 * OF THE POSSIBILITY OF SUCH DAMAGE.
 * ====================================================================
 *
 * This product includes cryptographic software written by Eric Young
 * (eay@cryptsoft.com).  This product includes software written by Tim
 * Hudson (tjh@cryptsoft.com).
 *
 */
/* ====================================================================
 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
 * Binary polynomial ECC support in OpenSSL originally developed by
 * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
 */

#include <string.h>

#include <openssl/opensslconf.h>

#include <openssl/err.h>
#include <openssl/opensslv.h>

#include "bn_lcl.h"
#include "ec_lcl.h"

/* functions for EC_GROUP objects */

EC_GROUP *
EC_GROUP_new(const EC_METHOD * meth)
{
          EC_GROUP *ret;

          if (meth == NULL) {
                    ECerror(EC_R_SLOT_FULL);
                    return NULL;
          }
          if (meth->group_init == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return NULL;
          }
          ret = malloc(sizeof *ret);
          if (ret == NULL) {
                    ECerror(ERR_R_MALLOC_FAILURE);
                    return NULL;
          }
          ret->meth = meth;

          ret->extra_data = NULL;

          ret->generator = NULL;
          BN_init(&ret->order);
          BN_init(&ret->cofactor);

          ret->curve_name = 0;
          ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
          ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;

          ret->seed = NULL;
          ret->seed_len = 0;

          if (!meth->group_init(ret)) {
                    free(ret);
                    return NULL;
          }
          return ret;
}


void
EC_GROUP_free(EC_GROUP * group)
{
          if (!group)
                    return;

          if (group->meth->group_finish != 0)
                    group->meth->group_finish(group);

          EC_EX_DATA_free_all_data(&group->extra_data);

          EC_POINT_free(group->generator);
          BN_free(&group->order);
          BN_free(&group->cofactor);

          free(group->seed);

          free(group);
}


void
EC_GROUP_clear_free(EC_GROUP * group)
{
          if (!group)
                    return;

          if (group->meth->group_clear_finish != 0)
                    group->meth->group_clear_finish(group);
          else if (group->meth->group_finish != 0)
                    group->meth->group_finish(group);

          EC_EX_DATA_clear_free_all_data(&group->extra_data);

          EC_POINT_clear_free(group->generator);
          BN_clear_free(&group->order);
          BN_clear_free(&group->cofactor);

          freezero(group->seed, group->seed_len);
          freezero(group, sizeof *group);
}


int
EC_GROUP_copy(EC_GROUP * dest, const EC_GROUP * src)
{
          EC_EXTRA_DATA *d;

          if (dest->meth->group_copy == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (dest->meth != src->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          if (dest == src)
                    return 1;

          EC_EX_DATA_free_all_data(&dest->extra_data);

          for (d = src->extra_data; d != NULL; d = d->next) {
                    void *t = d->dup_func(d->data);

                    if (t == NULL)
                              return 0;
                    if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func,
                        d->free_func, d->clear_free_func))
                              return 0;
          }

          if (src->generator != NULL) {
                    if (dest->generator == NULL) {
                              dest->generator = EC_POINT_new(dest);
                              if (dest->generator == NULL)
                                        return 0;
                    }
                    if (!EC_POINT_copy(dest->generator, src->generator))
                              return 0;
          } else {
                    /* src->generator == NULL */
                    EC_POINT_clear_free(dest->generator);
                    dest->generator = NULL;
          }

          if (!BN_copy(&dest->order, &src->order))
                    return 0;
          if (!BN_copy(&dest->cofactor, &src->cofactor))
                    return 0;

          dest->curve_name = src->curve_name;
          dest->asn1_flag = src->asn1_flag;
          dest->asn1_form = src->asn1_form;

          if (src->seed) {
                    free(dest->seed);
                    dest->seed = malloc(src->seed_len);
                    if (dest->seed == NULL)
                              return 0;
                    memcpy(dest->seed, src->seed, src->seed_len);
                    dest->seed_len = src->seed_len;
          } else {
                    free(dest->seed);
                    dest->seed = NULL;
                    dest->seed_len = 0;
          }


          return dest->meth->group_copy(dest, src);
}


EC_GROUP *
EC_GROUP_dup(const EC_GROUP * a)
{
          EC_GROUP *t = NULL;

          if ((a != NULL) && ((t = EC_GROUP_new(a->meth)) != NULL) &&
              (!EC_GROUP_copy(t, a))) {
                    EC_GROUP_free(t);
                    t = NULL;
          }
          return t;
}


const EC_METHOD *
EC_GROUP_method_of(const EC_GROUP *group)
{
          return group->meth;
}


int
EC_METHOD_get_field_type(const EC_METHOD *meth)
{
          return meth->field_type;
}

/*
 * Try computing the cofactor from generator order n and field cardinality q.
 * This works for all curves of cryptographic interest.
 *
 * Hasse's theorem: | h * n - (q + 1) | <= 2 * sqrt(q)
 *
 * So: h_min = (q + 1 - 2*sqrt(q)) / n and h_max = (q + 1 + 2*sqrt(q)) / n and
 * therefore h_max - h_min = 4*sqrt(q) / n. So if n > 4*sqrt(q) holds, there is
 * only one possible value for h:
 *
 *        h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil
 *
 * Otherwise, zero cofactor and return success.
 */
static int
ec_guess_cofactor(EC_GROUP *group)
{
          BN_CTX *ctx = NULL;
          BIGNUM *q = NULL;
          int ret = 0;

          /*
           * If the cofactor is too large, we cannot guess it and default to zero.
           * The RHS of below is a strict overestimate of log(4 * sqrt(q)).
           */
          if (BN_num_bits(&group->order) <=
              (BN_num_bits(&group->field) + 1) / 2 + 3) {
                    BN_zero(&group->cofactor);
                    return 1;
          }

          if ((ctx = BN_CTX_new()) == NULL)
                    goto err;

          BN_CTX_start(ctx);
          if ((q = BN_CTX_get(ctx)) == NULL)
                    goto err;

          /* Set q = 2**m for binary fields; q = p otherwise. */
          if (group->meth->field_type == NID_X9_62_characteristic_two_field) {
                    BN_zero(q);
                    if (!BN_set_bit(q, BN_num_bits(&group->field) - 1))
                              goto err;
          } else {
                    if (!BN_copy(q, &group->field))
                              goto err;
          }

          /*
           * Compute
           *     h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2) / n \rfloor.
           */

          /* h = n/2 */
          if (!BN_rshift1(&group->cofactor, &group->order))
                    goto err;
          /* h = 1 + n/2 */
          if (!BN_add(&group->cofactor, &group->cofactor, BN_value_one()))
                    goto err;
          /* h = q + 1 + n/2 */
          if (!BN_add(&group->cofactor, &group->cofactor, q))
                    goto err;
          /* h = (q + 1 + n/2) / n */
          if (!BN_div_ct(&group->cofactor, NULL, &group->cofactor, &group->order,
              ctx))
                    goto err;

          ret = 1;

 err:
          BN_CTX_end(ctx);
          BN_CTX_free(ctx);

          if (ret != 1)
                    BN_zero(&group->cofactor);

          return ret;
}

int
EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
    const BIGNUM *order, const BIGNUM *cofactor)
{
          if (generator == NULL) {
                    ECerror(ERR_R_PASSED_NULL_PARAMETER);
                    return 0;
          }

          /* Require group->field >= 1. */
          if (BN_is_zero(&group->field) || BN_is_negative(&group->field)) {
                    ECerror(EC_R_INVALID_FIELD);
                    return 0;
          }

          /*
           * Require order > 1 and enforce an upper bound of at most one bit more
           * than the field cardinality due to Hasse's theorem.
           */
          if (order == NULL || BN_cmp(order, BN_value_one()) <= 0 ||
              BN_num_bits(order) > BN_num_bits(&group->field) + 1) {
                    ECerror(EC_R_INVALID_GROUP_ORDER);
                    return 0;
          }

          /*
           * Unfortunately, the cofactor is an optional field in many standards.
           * Internally, the library uses a 0 cofactor as a marker for "unknown
           * cofactor".  So accept cofactor == NULL or cofactor >= 0.
           */
          if (cofactor != NULL && BN_is_negative(cofactor)) {
                    ECerror(EC_R_UNKNOWN_COFACTOR);
                    return 0;
          }

          if (group->generator == NULL) {
                    group->generator = EC_POINT_new(group);
                    if (group->generator == NULL)
                              return 0;
          }
          if (!EC_POINT_copy(group->generator, generator))
                    return 0;

          if (!BN_copy(&group->order, order))
                    return 0;

          /* Either take the provided positive cofactor, or try to compute it. */
          if (cofactor != NULL && !BN_is_zero(cofactor)) {
                    if (!BN_copy(&group->cofactor, cofactor))
                              return 0;
          } else if (!ec_guess_cofactor(group))
                    return 0;

          /* Use Hasse's theorem to bound the cofactor. */
          if (BN_num_bits(&group->cofactor) > BN_num_bits(&group->field) + 1) {
                    ECerror(EC_R_INVALID_GROUP_ORDER);
                    return 0;
          }

          return 1;
}


const EC_POINT *
EC_GROUP_get0_generator(const EC_GROUP *group)
{
          return group->generator;
}


int
EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
{
          if (!BN_copy(order, &group->order))
                    return 0;

          return !BN_is_zero(order);
}

int
EC_GROUP_order_bits(const EC_GROUP *group)
{
          return group->meth->group_order_bits(group);
}

int
EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
{
          if (!BN_copy(cofactor, &group->cofactor))
                    return 0;

          return !BN_is_zero(&group->cofactor);
}


void
EC_GROUP_set_curve_name(EC_GROUP * group, int nid)
{
          group->curve_name = nid;
}


int
EC_GROUP_get_curve_name(const EC_GROUP * group)
{
          return group->curve_name;
}


void
EC_GROUP_set_asn1_flag(EC_GROUP * group, int flag)
{
          group->asn1_flag = flag;
}


int
EC_GROUP_get_asn1_flag(const EC_GROUP * group)
{
          return group->asn1_flag;
}


void
EC_GROUP_set_point_conversion_form(EC_GROUP * group,
    point_conversion_form_t form)
{
          group->asn1_form = form;
}


point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP * group)
{
          return group->asn1_form;
}


size_t
EC_GROUP_set_seed(EC_GROUP * group, const unsigned char *p, size_t len)
{
          if (group->seed) {
                    free(group->seed);
                    group->seed = NULL;
                    group->seed_len = 0;
          }
          if (!len || !p)
                    return 1;

          if ((group->seed = malloc(len)) == NULL)
                    return 0;
          memcpy(group->seed, p, len);
          group->seed_len = len;

          return len;
}


unsigned char *
EC_GROUP_get0_seed(const EC_GROUP * group)
{
          return group->seed;
}


size_t
EC_GROUP_get_seed_len(const EC_GROUP * group)
{
          return group->seed_len;
}

int
EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
    const BIGNUM *b, BN_CTX *ctx)
{
          if (group->meth->group_set_curve == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          return group->meth->group_set_curve(group, p, a, b, ctx);
}

int
EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
    BN_CTX *ctx)
{
          if (group->meth->group_get_curve == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          return group->meth->group_get_curve(group, p, a, b, ctx);
}

int
EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
    const BIGNUM *b, BN_CTX *ctx)
{
          return EC_GROUP_set_curve(group, p, a, b, ctx);
}

int
EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
    BN_CTX *ctx)
{
          return EC_GROUP_get_curve(group, p, a, b, ctx);
}

#ifndef OPENSSL_NO_EC2M
int
EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
    const BIGNUM *b, BN_CTX *ctx)
{
          return EC_GROUP_set_curve(group, p, a, b, ctx);
}

int
EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
    BIGNUM *b, BN_CTX *ctx)
{
          return EC_GROUP_get_curve(group, p, a, b, ctx);
}
#endif

int
EC_GROUP_get_degree(const EC_GROUP * group)
{
          if (group->meth->group_get_degree == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          return group->meth->group_get_degree(group);
}


int
EC_GROUP_check_discriminant(const EC_GROUP * group, BN_CTX * ctx)
{
          if (group->meth->group_check_discriminant == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          return group->meth->group_check_discriminant(group, ctx);
}


int
EC_GROUP_cmp(const EC_GROUP * a, const EC_GROUP * b, BN_CTX * ctx)
{
          int r = 0;
          BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
          BN_CTX *ctx_new = NULL;

          /* compare the field types */
          if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
              EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
                    return 1;
          /* compare the curve name (if present in both) */
          if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
              EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
                    return 1;

          if (!ctx)
                    ctx_new = ctx = BN_CTX_new();
          if (!ctx)
                    return -1;

          BN_CTX_start(ctx);
          if ((a1 = BN_CTX_get(ctx)) == NULL)
                    goto err;
          if ((a2 = BN_CTX_get(ctx)) == NULL)
                    goto err;
          if ((a3 = BN_CTX_get(ctx)) == NULL)
                    goto err;
          if ((b1 = BN_CTX_get(ctx)) == NULL)
                    goto err;
          if ((b2 = BN_CTX_get(ctx)) == NULL)
                    goto err;
          if ((b3 = BN_CTX_get(ctx)) == NULL)
                    goto err;

          /*
           * XXX This approach assumes that the external representation of
           * curves over the same field type is the same.
           */
          if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
              !b->meth->group_get_curve(b, b1, b2, b3, ctx))
                    r = 1;

          if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
                    r = 1;

          /* XXX EC_POINT_cmp() assumes that the methods are equal */
          if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
                    EC_GROUP_get0_generator(b), ctx))
                    r = 1;

          if (!r) {
                    /* compare the order and cofactor */
                    if (!EC_GROUP_get_order(a, a1, ctx) ||
                        !EC_GROUP_get_order(b, b1, ctx) ||
                        !EC_GROUP_get_cofactor(a, a2, ctx) ||
                        !EC_GROUP_get_cofactor(b, b2, ctx))
                              goto err;
                    if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
                              r = 1;
          }
          BN_CTX_end(ctx);
          if (ctx_new)
                    BN_CTX_free(ctx);

          return r;

 err:
          BN_CTX_end(ctx);
          if (ctx_new)
                    BN_CTX_free(ctx);
          return -1;
}

/*
 * Coordinate blinding for EC_POINT.
 *
 * The underlying EC_METHOD can optionally implement this function:
 * underlying implementations should return 0 on errors, or 1 on success.
 *
 * This wrapper returns 1 in case the underlying EC_METHOD does not support
 * coordinate blinding.
 */
int
ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx)
{
          if (group->meth->blind_coordinates == NULL)
                    return 1;

          return group->meth->blind_coordinates(group, p, ctx);
}

/* this has 'package' visibility */
int
EC_EX_DATA_set_data(EC_EXTRA_DATA ** ex_data, void *data,
    void *(*dup_func) (void *),
    void (*free_func) (void *),
    void (*clear_free_func) (void *))
{
          EC_EXTRA_DATA *d;

          if (ex_data == NULL)
                    return 0;

          for (d = *ex_data; d != NULL; d = d->next) {
                    if (d->dup_func == dup_func && d->free_func == free_func &&
                        d->clear_free_func == clear_free_func) {
                              ECerror(EC_R_SLOT_FULL);
                              return 0;
                    }
          }

          if (data == NULL)
                    /* no explicit entry needed */
                    return 1;

          d = malloc(sizeof *d);
          if (d == NULL)
                    return 0;

          d->data = data;
          d->dup_func = dup_func;
          d->free_func = free_func;
          d->clear_free_func = clear_free_func;

          d->next = *ex_data;
          *ex_data = d;

          return 1;
}

/* this has 'package' visibility */
void *
EC_EX_DATA_get_data(const EC_EXTRA_DATA * ex_data,
    void *(*dup_func) (void *),
    void (*free_func) (void *),
    void (*clear_free_func) (void *))
{
          const EC_EXTRA_DATA *d;

          for (d = ex_data; d != NULL; d = d->next) {
                    if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
                              return d->data;
          }

          return NULL;
}

/* this has 'package' visibility */
void
EC_EX_DATA_free_data(EC_EXTRA_DATA ** ex_data,
    void *(*dup_func) (void *),
    void (*free_func) (void *),
    void (*clear_free_func) (void *))
{
          EC_EXTRA_DATA **p;

          if (ex_data == NULL)
                    return;

          for (p = ex_data; *p != NULL; p = &((*p)->next)) {
                    if ((*p)->dup_func == dup_func &&
                        (*p)->free_func == free_func &&
                        (*p)->clear_free_func == clear_free_func) {
                              EC_EXTRA_DATA *next = (*p)->next;

                              (*p)->free_func((*p)->data);
                              free(*p);

                              *p = next;
                              return;
                    }
          }
}

/* this has 'package' visibility */
void
EC_EX_DATA_clear_free_data(EC_EXTRA_DATA ** ex_data,
    void *(*dup_func) (void *),
    void (*free_func) (void *),
    void (*clear_free_func) (void *))
{
          EC_EXTRA_DATA **p;

          if (ex_data == NULL)
                    return;

          for (p = ex_data; *p != NULL; p = &((*p)->next)) {
                    if ((*p)->dup_func == dup_func &&
                        (*p)->free_func == free_func &&
                        (*p)->clear_free_func == clear_free_func) {
                              EC_EXTRA_DATA *next = (*p)->next;

                              (*p)->clear_free_func((*p)->data);
                              free(*p);

                              *p = next;
                              return;
                    }
          }
}

/* this has 'package' visibility */
void
EC_EX_DATA_free_all_data(EC_EXTRA_DATA ** ex_data)
{
          EC_EXTRA_DATA *d;

          if (ex_data == NULL)
                    return;

          d = *ex_data;
          while (d) {
                    EC_EXTRA_DATA *next = d->next;

                    d->free_func(d->data);
                    free(d);

                    d = next;
          }
          *ex_data = NULL;
}

/* this has 'package' visibility */
void
EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA ** ex_data)
{
          EC_EXTRA_DATA *d;

          if (ex_data == NULL)
                    return;

          d = *ex_data;
          while (d) {
                    EC_EXTRA_DATA *next = d->next;

                    d->clear_free_func(d->data);
                    free(d);

                    d = next;
          }
          *ex_data = NULL;
}


/* functions for EC_POINT objects */

EC_POINT *
EC_POINT_new(const EC_GROUP * group)
{
          EC_POINT *ret;

          if (group == NULL) {
                    ECerror(ERR_R_PASSED_NULL_PARAMETER);
                    return NULL;
          }
          if (group->meth->point_init == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return NULL;
          }
          ret = malloc(sizeof *ret);
          if (ret == NULL) {
                    ECerror(ERR_R_MALLOC_FAILURE);
                    return NULL;
          }
          ret->meth = group->meth;

          if (!ret->meth->point_init(ret)) {
                    free(ret);
                    return NULL;
          }
          return ret;
}


void
EC_POINT_free(EC_POINT * point)
{
          if (!point)
                    return;

          if (point->meth->point_finish != 0)
                    point->meth->point_finish(point);
          free(point);
}


void
EC_POINT_clear_free(EC_POINT * point)
{
          if (!point)
                    return;

          if (point->meth->point_clear_finish != 0)
                    point->meth->point_clear_finish(point);
          else if (point->meth->point_finish != 0)
                    point->meth->point_finish(point);
          freezero(point, sizeof *point);
}


int
EC_POINT_copy(EC_POINT * dest, const EC_POINT * src)
{
          if (dest->meth->point_copy == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (dest->meth != src->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          if (dest == src)
                    return 1;
          return dest->meth->point_copy(dest, src);
}


EC_POINT *
EC_POINT_dup(const EC_POINT * a, const EC_GROUP * group)
{
          EC_POINT *t;
          int r;

          if (a == NULL)
                    return NULL;

          t = EC_POINT_new(group);
          if (t == NULL)
                    return (NULL);
          r = EC_POINT_copy(t, a);
          if (!r) {
                    EC_POINT_free(t);
                    return NULL;
          } else
                    return t;
}


const EC_METHOD *
EC_POINT_method_of(const EC_POINT * point)
{
          return point->meth;
}


int
EC_POINT_set_to_infinity(const EC_GROUP * group, EC_POINT * point)
{
          if (group->meth->point_set_to_infinity == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->point_set_to_infinity(group, point);
}

int
EC_POINT_set_Jprojective_coordinates(const EC_GROUP *group, EC_POINT *point,
    const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
{
          if (group->meth->point_set_Jprojective_coordinates == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->point_set_Jprojective_coordinates(group, point,
              x, y, z, ctx);
}

int
EC_POINT_get_Jprojective_coordinates(const EC_GROUP *group,
    const EC_POINT *point, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
{
          if (group->meth->point_get_Jprojective_coordinates == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->point_get_Jprojective_coordinates(group, point,
              x, y, z, ctx);
}

int
EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
    const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
{
          return EC_POINT_set_Jprojective_coordinates(group, point, x, y, z, ctx);
}

int
EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
    const EC_POINT *point, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
{
          return EC_POINT_get_Jprojective_coordinates(group, point, x, y, z, ctx);
}

int
EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
    const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
          if (group->meth->point_set_affine_coordinates == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
                    return 0;
          if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
                    ECerror(EC_R_POINT_IS_NOT_ON_CURVE);
                    return 0;
          }
          return 1;
}

int
EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
    const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
          return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
}

#ifndef OPENSSL_NO_EC2M
int
EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
    const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
          return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
}
#endif

int
EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point,
    BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
          if (group->meth->point_get_affine_coordinates == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}

int
EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
    BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
          return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}

#ifndef OPENSSL_NO_EC2M
int
EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
    BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
          return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}
#endif

int
EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
    const EC_POINT *b, BN_CTX *ctx)
{
          if (group->meth->add == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth)) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->add(group, r, a, b, ctx);
}


int
EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
{
          if (group->meth->dbl == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if ((group->meth != r->meth) || (r->meth != a->meth)) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->dbl(group, r, a, ctx);
}


int
EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
{
          if (group->meth->invert == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != a->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->invert(group, a, ctx);
}


int
EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
{
          if (group->meth->is_at_infinity == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->is_at_infinity(group, point);
}


int
EC_POINT_is_on_curve(const EC_GROUP * group, const EC_POINT * point, BN_CTX * ctx)
{
          if (group->meth->is_on_curve == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->is_on_curve(group, point, ctx);
}


int
EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
    BN_CTX * ctx)
{
          if (group->meth->point_cmp == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return -1;
          }
          if ((group->meth != a->meth) || (a->meth != b->meth)) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return -1;
          }
          return group->meth->point_cmp(group, a, b, ctx);
}


int
EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
{
          if (group->meth->make_affine == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (group->meth != point->meth) {
                    ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                    return 0;
          }
          return group->meth->make_affine(group, point, ctx);
}


int
EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[],
    BN_CTX *ctx)
{
          size_t i;

          if (group->meth->points_make_affine == 0) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          for (i = 0; i < num; i++) {
                    if (group->meth != points[i]->meth) {
                              ECerror(EC_R_INCOMPATIBLE_OBJECTS);
                              return 0;
                    }
          }
          return group->meth->points_make_affine(group, num, points, ctx);
}


/* Functions for point multiplication */
int
EC_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)
{
          /*
           * The function pointers must be set, and only support num == 0 and
           * num == 1.
           */
          if (group->meth->mul_generator_ct == NULL ||
              group->meth->mul_single_ct == NULL ||
              group->meth->mul_double_nonct == NULL ||
              num > 1) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }

          /* Either bP or aG + bP, this is sane. */
          if (num == 1 && points != NULL && scalars != NULL)
                    return EC_POINT_mul(group, r, scalar, points[0], scalars[0],
                        ctx);

          /* aG, this is sane */
          if (scalar != NULL && points == NULL && scalars == NULL)
                    return EC_POINT_mul(group, r, scalar, NULL, NULL, ctx);

          /* anything else is an error */
          ECerror(ERR_R_EC_LIB);
          return 0;
}

int
EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
    const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
{
          if (group->meth->mul_generator_ct == NULL ||
              group->meth->mul_single_ct == NULL ||
              group->meth->mul_double_nonct == NULL) {
                    ECerror(ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
                    return 0;
          }
          if (g_scalar != NULL && point == NULL && p_scalar == NULL) {
                    /*
                     * In this case we want to compute g_scalar * GeneratorPoint:
                     * this codepath is reached most prominently by (ephemeral) key
                     * generation of EC cryptosystems (i.e. ECDSA keygen and sign
                     * setup, ECDH keygen/first half), where the scalar is always
                     * secret. This is why we ignore if BN_FLG_CONSTTIME is actually
                     * set and we always call the constant time version.
                     */
                    return group->meth->mul_generator_ct(group, r, g_scalar, ctx);
          }
          if (g_scalar == NULL && point != NULL && p_scalar != NULL) {
                    /* In this case we want to compute p_scalar * GenericPoint:
                     * this codepath is reached most prominently by the second half
                     * of ECDH, where the secret scalar is multiplied by the peer's
                     * public point. To protect the secret scalar, we ignore if
                     * BN_FLG_CONSTTIME is actually set and we always call the
                     * constant time version.
                     */
                    return group->meth->mul_single_ct(group, r, p_scalar, point,
                        ctx);
          }
          if (g_scalar != NULL && point != NULL && p_scalar != NULL) {
                    /*
                     * In this case we want to compute
                     *   g_scalar * GeneratorPoint + p_scalar * GenericPoint:
                     * this codepath is reached most prominently by ECDSA signature
                     * verification. So we call the non-ct version.
                     */
                    return group->meth->mul_double_nonct(group, r, g_scalar,
                        p_scalar, point, ctx);
          }

          /* Anything else is an error. */
          ECerror(ERR_R_EC_LIB);
          return 0;
}

int
EC_GROUP_precompute_mult(EC_GROUP * group, BN_CTX * ctx)
{
          if (group->meth->precompute_mult != 0)
                    return group->meth->precompute_mult(group, ctx);
          else
                    return 1; /* nothing to do, so report success */
}

int
EC_GROUP_have_precompute_mult(const EC_GROUP * group)
{
          if (group->meth->have_precompute_mult != 0)
                    return group->meth->have_precompute_mult(group);
          else
                    return 0; /* cannot tell whether precomputation has
                                         * been performed */
}

int
ec_group_simple_order_bits(const EC_GROUP *group)
{
          /* XXX change group->order to a pointer? */
#if 0
          if (group->order == NULL)
                    return 0;
#endif
          return BN_num_bits(&group->order);
}

EC_KEY *
ECParameters_dup(EC_KEY *key)
{
          unsigned char *p = NULL;
          EC_KEY *k = NULL;
          int len;

          if (key == NULL)
                    return (NULL);

          if ((len = i2d_ECParameters(key, &p)) > 0)
                    k = d2i_ECParameters(NULL, (const unsigned char **)&p, len);

          return (k);
}