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ec_lib.c

/* crypto/ec/ec_lib.c */
/*
 * 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/err.h>
#include <openssl/opensslv.h>

#include "ec_lcl.h"

static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;


/* functions for EC_GROUP objects */

00076 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
      {
      EC_GROUP *ret;

      if (meth == NULL)
            {
            ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
            return NULL;
            }
      if (meth->group_init == 0)
            {
            ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return NULL;
            }

      ret = OPENSSL_malloc(sizeof *ret);
      if (ret == NULL)
            {
            ECerr(EC_F_EC_GROUP_NEW, 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  = 0;
      ret->asn1_form  = POINT_CONVERSION_UNCOMPRESSED;

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

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


00123 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);

      if (group->generator != NULL)
            EC_POINT_free(group->generator);
      BN_free(&group->order);
      BN_free(&group->cofactor);

      if (group->seed)
            OPENSSL_free(group->seed);

      OPENSSL_free(group);
      }
 

00144 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);

      if (group->generator != NULL)
            EC_POINT_clear_free(group->generator);
      BN_clear_free(&group->order);
      BN_clear_free(&group->cofactor);

      if (group->seed)
            {
            OPENSSL_cleanse(group->seed, group->seed_len);
            OPENSSL_free(group->seed);
            }

      OPENSSL_cleanse(group, sizeof *group);
      OPENSSL_free(group);
      }


00171 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
      {
      EC_EXTRA_DATA *d;

      if (dest->meth->group_copy == 0)
            {
            ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (dest->meth != src->meth)
            {
            ECerr(EC_F_EC_GROUP_COPY, 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 */
            if (dest->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)
            {
            if (dest->seed)
                  OPENSSL_free(dest->seed);
            dest->seed = OPENSSL_malloc(src->seed_len);
            if (dest->seed == NULL)
                  return 0;
            if (!memcpy(dest->seed, src->seed, src->seed_len))
                  return 0;
            dest->seed_len = src->seed_len;
            }
      else
            {
            if (dest->seed)
                  OPENSSL_free(dest->seed);
            dest->seed = NULL;
            dest->seed_len = 0;
            }
      

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


00250 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
      {
      EC_GROUP *t = NULL;
      int ok = 0;

      if (a == NULL) return NULL;

      if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
      if (!EC_GROUP_copy(t, a)) goto err;

      ok = 1;

  err:      
      if (!ok)
            {
            if (t) EC_GROUP_free(t);
            return NULL;
            }
      else return t;
      }


00272 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
      {
      return group->meth;
      }


00278 int EC_METHOD_get_field_type(const EC_METHOD *meth)
        {
        return meth->field_type;
        }


00284 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
      {
      if (generator == NULL)
            {
            ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
            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 (order != NULL)
            { if (!BN_copy(&group->order, order)) return 0; }     
      else
            BN_zero(&group->order);

      if (cofactor != NULL)
            { if (!BN_copy(&group->cofactor, cofactor)) return 0; }     
      else
            BN_zero(&group->cofactor);

      return 1;
      }


00313 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
      {
      return group->generator;
      }


00319 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);
      }


00328 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);
      }


00337 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
      {
      group->curve_name = nid;
      }


00343 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)
            {
            OPENSSL_free(group->seed);
            group->seed = NULL;
            group->seed_len = 0;
            }

      if (!len || !p)
            return 1;

      if ((group->seed = OPENSSL_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;
      }


00407 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
      {
      if (group->meth->group_set_curve == 0)
            {
            ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_set_curve(group, p, a, b, ctx);
      }


00418 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
      {
      if (group->meth->group_get_curve == 0)
            {
            ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_get_curve(group, p, a, b, ctx);
      }


00429 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
      {
      if (group->meth->group_set_curve == 0)
            {
            ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_set_curve(group, p, a, b, ctx);
      }


00440 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
      {
      if (group->meth->group_get_curve == 0)
            {
            ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_get_curve(group, p, a, b, ctx);
      }


00451 int EC_GROUP_get_degree(const EC_GROUP *group)
      {
      if (group->meth->group_get_degree == 0)
            {
            ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_get_degree(group);
      }


00462 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
      {
      if (group->meth->group_check_discriminant == 0)
            {
            ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      return group->meth->group_check_discriminant(group, ctx);
      }


00473 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) */
      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 0;

      if (!ctx)
            ctx_new = ctx = BN_CTX_new();
      if (!ctx)
            return -1;
      
      BN_CTX_start(ctx);
      a1 = BN_CTX_get(ctx);
      a2 = BN_CTX_get(ctx);
      a3 = BN_CTX_get(ctx);
      b1 = BN_CTX_get(ctx);
      b2 = BN_CTX_get(ctx);
      b3 = BN_CTX_get(ctx);
      if (!b3)
            {
            BN_CTX_end(ctx);
            if (ctx_new)
                  BN_CTX_free(ctx);
            return -1;
            }

      /* 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))
                  {
                  BN_CTX_end(ctx);
                  if (ctx_new)
                        BN_CTX_free(ctx);
                  return -1;
                  }
            if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
                  r = 1;
            }

      BN_CTX_end(ctx);
      if (ctx_new)
            BN_CTX_free(ctx);

      return r;
      }


/* 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)
                  {
                  ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
                  return 0;
                  }
            }

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

      d = OPENSSL_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);
                  OPENSSL_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);
                  OPENSSL_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);
            OPENSSL_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);
            OPENSSL_free(d);
            
            d = next;
            }
      *ex_data = NULL;
      }


/* functions for EC_POINT objects */

00693 EC_POINT *EC_POINT_new(const EC_GROUP *group)
      {
      EC_POINT *ret;

      if (group == NULL)
            {
            ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
            return NULL;
            }
      if (group->meth->point_init == 0)
            {
            ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return NULL;
            }

      ret = OPENSSL_malloc(sizeof *ret);
      if (ret == NULL)
            {
            ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
            return NULL;
            }

      ret->meth = group->meth;
      
      if (!ret->meth->point_init(ret))
            {
            OPENSSL_free(ret);
            return NULL;
            }
      
      return ret;
      }


00727 void EC_POINT_free(EC_POINT *point)
      {
      if (!point) return;

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

00737 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);
      OPENSSL_cleanse(point, sizeof *point);
      OPENSSL_free(point);
      }


00750 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
      {
      if (dest->meth->point_copy == 0)
            {
            ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (dest->meth != src->meth)
            {
            ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      if (dest == src)
            return 1;
      return dest->meth->point_copy(dest, src);
      }


00768 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;
      }


00787 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
      {
      return point->meth;
      }


00793 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
      {
      if (group->meth->point_set_to_infinity == 0)
            {
            ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_to_infinity(group, point);
      }


00809 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)
      {
      if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
            {
            ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
      }


00826 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
      BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
      {
      if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
            {
            ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
      }


00843 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
      const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
      {
      if (group->meth->point_set_affine_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
      }


00860 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
      const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
      {
      if (group->meth->point_set_affine_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
      }


00877 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
      BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
      {
      if (group->meth->point_get_affine_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
      }


00894 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
      BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
      {
      if (group->meth->point_get_affine_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
      }


00911 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
      const BIGNUM *x, int y_bit, BN_CTX *ctx)
      {
      if (group->meth->point_set_compressed_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
      }


00928 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
      const BIGNUM *x, int y_bit, BN_CTX *ctx)
      {
      if (group->meth->point_set_compressed_coordinates == 0)
            {
            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
      }


00945 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
        unsigned char *buf, size_t len, BN_CTX *ctx)
      {
      if (group->meth->point2oct == 0)
            {
            ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->point2oct(group, point, form, buf, len, ctx);
      }


00962 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
        const unsigned char *buf, size_t len, BN_CTX *ctx)
      {
      if (group->meth->oct2point == 0)
            {
            ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->oct2point(group, point, buf, len, ctx);
      }


00979 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)
            {
            ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
            {
            ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->add(group, r, a, b, ctx);
      }


00995 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
      {
      if (group->meth->dbl == 0)
            {
            ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if ((group->meth != r->meth) || (r->meth != a->meth))
            {
            ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->dbl(group, r, a, ctx);
      }


01011 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
      {
      if (group->meth->dbl == 0)
            {
            ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != a->meth)
            {
            ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->invert(group, a, ctx);
      }


01027 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
      {
      if (group->meth->is_at_infinity == 0)
            {
            ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->is_at_infinity(group, point);
      }


01043 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
      {
      if (group->meth->is_on_curve == 0)
            {
            ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      return group->meth->is_on_curve(group, point, ctx);
      }


01059 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)
            {
            ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if ((group->meth != a->meth) || (a->meth != b->meth))
            {
            ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
            return 0;
            }
      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)
            {
            ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      if (group->meth != point->meth)
            {
            ECerr(EC_F_EC_POINT_MAKE_AFFINE, 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)
            {
            ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
            return 0;
            }
      for (i = 0; i < num; i++)
            {
            if (group->meth != points[i]->meth)
                  {
                  ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
                  return 0;
                  }
            }
      return group->meth->points_make_affine(group, num, points, ctx);
      }


/* Functions for point multiplication.
 *
 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
 * otherwise we dispatch through methods.
 */

01118 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)
      {
      if (group->meth->mul == 0)
            /* use default */
            return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);

      return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
      }

01128 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)
      {
      /* just a convenient interface to EC_POINTs_mul() */

      const EC_POINT *points[1];
      const BIGNUM *scalars[1];

      points[0] = point;
      scalars[0] = p_scalar;

      return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx);
      }

01142 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
      {
      if (group->meth->mul == 0)
            /* use default */
            return ec_wNAF_precompute_mult(group, ctx);

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

01154 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
      {
      if (group->meth->mul == 0)
            /* use default */
            return ec_wNAF_have_precompute_mult(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 */
      }

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