src/crypto/ec/oct.c

/* Originally written by Bodo Moeller for the OpenSSL project.
 * ====================================================================
 * Copyright (c) 1998-2005 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.
 *
 * Portions of the attached software ("Contribution") are developed by
 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
 *
 * The Contribution is licensed pursuant to the OpenSSL open source
 * license provided above.
 *
 * The elliptic curve binary polynomial software is originally written by
 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
 * Laboratories. */

#include <openssl/ec.h>

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

#include "internal.h"


static size_t ec_GFp_simple_point2oct(const EC_GROUP *group,
                                      const EC_POINT *point,
                                      point_conversion_form_t form,
                                      uint8_t *buf, size_t len, BN_CTX *ctx) {
  size_t ret;
  BN_CTX *new_ctx = NULL;
  int used_ctx = 0;
  BIGNUM *x, *y;
  size_t field_len, i;

  if ((form != POINT_CONVERSION_COMPRESSED) &&
      (form != POINT_CONVERSION_UNCOMPRESSED)) {
    OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FORM);
    goto err;
  }

  if (EC_POINT_is_at_infinity(group, point)) {
    /* encodes to a single 0 octet */
    if (buf != NULL) {
      if (len < 1) {
        OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
        return 0;
      }
      buf[0] = 0;
    }
    return 1;
  }


  /* ret := required output buffer length */
  field_len = BN_num_bytes(&group->field);
  ret =
      (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;

  /* if 'buf' is NULL, just return required length */
  if (buf != NULL) {
    if (len < ret) {
      OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
      goto err;
    }

    if (ctx == NULL) {
      ctx = new_ctx = BN_CTX_new();
      if (ctx == NULL) {
        return 0;
      }
    }

    BN_CTX_start(ctx);
    used_ctx = 1;
    x = BN_CTX_get(ctx);
    y = BN_CTX_get(ctx);
    if (y == NULL) {
      goto err;
    }

    if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) {
      goto err;
    }

    if ((form == POINT_CONVERSION_COMPRESSED) &&
        BN_is_odd(y)) {
      buf[0] = form + 1;
    } else {
      buf[0] = form;
    }
    i = 1;

    if (!BN_bn2bin_padded(buf + i, field_len, x)) {
      OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
      goto err;
    }
    i += field_len;

    if (form == POINT_CONVERSION_UNCOMPRESSED) {
      if (!BN_bn2bin_padded(buf + i, field_len, y)) {
        OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
        goto err;
      }
      i += field_len;
    }

    if (i != ret) {
      OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
      goto err;
    }
  }

  if (used_ctx) {
    BN_CTX_end(ctx);
  }
  BN_CTX_free(new_ctx);
  return ret;

err:
  if (used_ctx) {
    BN_CTX_end(ctx);
  }
  BN_CTX_free(new_ctx);
  return 0;
}


static int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
                                   const uint8_t *buf, size_t len,
                                   BN_CTX *ctx) {
  point_conversion_form_t form;
  int y_bit;
  BN_CTX *new_ctx = NULL;
  BIGNUM *x, *y;
  size_t field_len, enc_len;
  int ret = 0;

  if (len == 0) {
    OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
    return 0;
  }
  form = buf[0];
  y_bit = form & 1;
  form = form & ~1U;
  if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) &&
      (form != POINT_CONVERSION_UNCOMPRESSED)) {
    OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
    return 0;
  }
  if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
    OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
    return 0;
  }

  if (form == 0) {
    if (len != 1) {
      OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
      return 0;
    }

    return EC_POINT_set_to_infinity(group, point);
  }

  field_len = BN_num_bytes(&group->field);
  enc_len =
      (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;

  if (len != enc_len) {
    OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
    return 0;
  }

  if (ctx == NULL) {
    ctx = new_ctx = BN_CTX_new();
    if (ctx == NULL) {
      return 0;
    }
  }

  BN_CTX_start(ctx);
  x = BN_CTX_get(ctx);
  y = BN_CTX_get(ctx);
  if (x == NULL || y == NULL) {
    goto err;
  }

  if (!BN_bin2bn(buf + 1, field_len, x)) {
    goto err;
  }
  if (BN_ucmp(x, &group->field) >= 0) {
    OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
    goto err;
  }

  if (form == POINT_CONVERSION_COMPRESSED) {
    if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) {
      goto err;
    }
  } else {
    if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) {
      goto err;
    }
    if (BN_ucmp(y, &group->field) >= 0) {
      OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
      goto err;
    }

    if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) {
      goto err;
    }
  }

  /* test required by X9.62 */
  if (!EC_POINT_is_on_curve(group, point, ctx)) {
    OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
    goto err;
  }

  ret = 1;

err:
  BN_CTX_end(ctx);
  BN_CTX_free(new_ctx);
  return ret;
}

int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
                       const uint8_t *buf, size_t len, BN_CTX *ctx) {
  if (group->meth->oct2point == 0 &&
      !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
    OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    return 0;
  }
  if (group->meth != point->meth) {
    OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
    return 0;
  }
  if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
    return ec_GFp_simple_oct2point(group, point, buf, len, ctx);
  }

  return group->meth->oct2point(group, point, buf, len, ctx);
}

size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point,
                          point_conversion_form_t form, uint8_t *buf,
                          size_t len, BN_CTX *ctx) {
  if (group->meth->point2oct == 0 &&
      !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
    OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    return 0;
  }
  if (group->meth != point->meth) {
    OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
    return 0;
  }
  if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
    return ec_GFp_simple_point2oct(group, point, form, buf, len, ctx);
  }

  return group->meth->point2oct(group, point, form, buf, len, ctx);
}

int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group,
                                             EC_POINT *point, const BIGNUM *x_,
                                             int y_bit, BN_CTX *ctx) {
  BN_CTX *new_ctx = NULL;
  BIGNUM *tmp1, *tmp2, *x, *y;
  int ret = 0;

  ERR_clear_error();

  if (ctx == NULL) {
    ctx = new_ctx = BN_CTX_new();
    if (ctx == NULL) {
      return 0;
    }
  }

  y_bit = (y_bit != 0);

  BN_CTX_start(ctx);
  tmp1 = BN_CTX_get(ctx);
  tmp2 = BN_CTX_get(ctx);
  x = BN_CTX_get(ctx);
  y = BN_CTX_get(ctx);
  if (y == NULL) {
    goto err;
  }

  /* Recover y.  We have a Weierstrass equation
   *     y^2 = x^3 + a*x + b,
   * so  y  is one of the square roots of  x^3 + a*x + b. */

  /* tmp1 := x^3 */
  if (!BN_nnmod(x, x_, &group->field, ctx)) {
    goto err;
  }

  if (group->meth->field_decode == 0) {
    /* field_{sqr,mul} work on standard representation */
    if (!group->meth->field_sqr(group, tmp2, x_, ctx) ||
        !group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) {
      goto err;
    }
  } else {
    if (!BN_mod_sqr(tmp2, x_, &group->field, ctx) ||
        !BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) {
      goto err;
    }
  }

  /* tmp1 := tmp1 + a*x */
  if (group->a_is_minus3) {
    if (!BN_mod_lshift1_quick(tmp2, x, &group->field) ||
        !BN_mod_add_quick(tmp2, tmp2, x, &group->field) ||
        !BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) {
      goto err;
    }
  } else {
    if (group->meth->field_decode) {
      if (!group->meth->field_decode(group, tmp2, &group->a, ctx) ||
          !BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) {
        goto err;
      }
    } else {
      /* field_mul works on standard representation */
      if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) {
        goto err;
      }
    }

    if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) {
      goto err;
    }
  }

  /* tmp1 := tmp1 + b */
  if (group->meth->field_decode) {
    if (!group->meth->field_decode(group, tmp2, &group->b, ctx) ||
        !BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) {
      goto err;
    }
  } else {
    if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) {
      goto err;
    }
  }

  if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) {
    unsigned long err = ERR_peek_last_error();

    if (ERR_GET_LIB(err) == ERR_LIB_BN &&
        ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
      ERR_clear_error();
      OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
    } else {
      OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
    }
    goto err;
  }

  if (y_bit != BN_is_odd(y)) {
    if (BN_is_zero(y)) {
      int kron;

      kron = BN_kronecker(x, &group->field, ctx);
      if (kron == -2) {
        goto err;
      }

      if (kron == 1) {
        OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSION_BIT);
      } else {
        /* BN_mod_sqrt() should have cought this error (not a square) */
        OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
      }
      goto err;
    }
    if (!BN_usub(y, &group->field, y)) {
      goto err;
    }
  }
  if (y_bit != BN_is_odd(y)) {
    OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
    goto err;
  }

  if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) {
    goto err;
  }

  ret = 1;

err:
  BN_CTX_end(ctx);
  BN_CTX_free(new_ctx);
  return ret;
}

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 &&
      !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
    OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    return 0;
  }
  if (group->meth != point->meth) {
    OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
    return 0;
  }
  if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
    return ec_GFp_simple_set_compressed_coordinates(group, point, x, y_bit,
                                                    ctx);
  }
  return group->meth->point_set_compressed_coordinates(group, point, x, y_bit,
                                                       ctx);
}