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							- /*
 
-  * Copyright 2011-2022 The OpenSSL Project Authors. All Rights Reserved.
 
-  * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
 
-  *
 
-  * Licensed under the Apache License 2.0 (the "License").  You may not use
 
-  * this file except in compliance with the License.  You can obtain a copy
 
-  * in the file LICENSE in the source distribution or at
 
-  * https://www.openssl.org/source/license.html
 
-  */
 
- /*
 
-  * ECDSA low level APIs are deprecated for public use, but still ok for
 
-  * internal use.
 
-  */
 
- #include "internal/deprecated.h"
 
- #include <openssl/err.h>
 
- #include "ec_local.h"
 
- #ifndef OPENSSL_NO_EC2M
 
- /*-
 
-  * Calculates and sets the affine coordinates of an EC_POINT from the given
 
-  * compressed coordinates.  Uses algorithm 2.3.4 of SEC 1.
 
-  * Note that the simple implementation only uses affine coordinates.
 
-  *
 
-  * The method is from the following publication:
 
-  *
 
-  *     Harper, Menezes, Vanstone:
 
-  *     "Public-Key Cryptosystems with Very Small Key Lengths",
 
-  *     EUROCRYPT '92, Springer-Verlag LNCS 658,
 
-  *     published February 1993
 
-  *
 
-  * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
 
-  * the same method, but claim no priority date earlier than July 29, 1994
 
-  * (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
 
-  */
 
- int ossl_ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group,
 
-                                                    EC_POINT *point,
 
-                                                    const BIGNUM *x_, int y_bit,
 
-                                                    BN_CTX *ctx)
 
- {
 
-     BIGNUM *tmp, *x, *y, *z;
 
-     int ret = 0, z0;
 
- #ifndef FIPS_MODULE
 
-     BN_CTX *new_ctx = NULL;
 
-     if (ctx == NULL) {
 
-         ctx = new_ctx = BN_CTX_new();
 
-         if (ctx == NULL)
 
-             return 0;
 
-     }
 
- #endif
 
-     y_bit = (y_bit != 0) ? 1 : 0;
 
-     BN_CTX_start(ctx);
 
-     tmp = BN_CTX_get(ctx);
 
-     x = BN_CTX_get(ctx);
 
-     y = BN_CTX_get(ctx);
 
-     z = BN_CTX_get(ctx);
 
-     if (z == NULL)
 
-         goto err;
 
-     if (!BN_GF2m_mod_arr(x, x_, group->poly))
 
-         goto err;
 
-     if (BN_is_zero(x)) {
 
-         if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx))
 
-             goto err;
 
-     } else {
 
-         if (!group->meth->field_sqr(group, tmp, x, ctx))
 
-             goto err;
 
-         if (!group->meth->field_div(group, tmp, group->b, tmp, ctx))
 
-             goto err;
 
-         if (!BN_GF2m_add(tmp, group->a, tmp))
 
-             goto err;
 
-         if (!BN_GF2m_add(tmp, x, tmp))
 
-             goto err;
 
-         ERR_set_mark();
 
-         if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {
 
- #ifndef FIPS_MODULE
 
-             unsigned long err = ERR_peek_last_error();
 
-             if (ERR_GET_LIB(err) == ERR_LIB_BN
 
-                 && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {
 
-                 ERR_pop_to_mark();
 
-                 ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSED_POINT);
 
-             } else
 
- #endif
 
-             {
 
-                 ERR_clear_last_mark();
 
-                 ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
 
-             }
 
-             goto err;
 
-         }
 
-         ERR_clear_last_mark();
 
-         z0 = (BN_is_odd(z)) ? 1 : 0;
 
-         if (!group->meth->field_mul(group, y, x, z, ctx))
 
-             goto err;
 
-         if (z0 != y_bit) {
 
-             if (!BN_GF2m_add(y, y, x))
 
-                 goto err;
 
-         }
 
-     }
 
-     if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
 
-         goto err;
 
-     ret = 1;
 
-  err:
 
-     BN_CTX_end(ctx);
 
- #ifndef FIPS_MODULE
 
-     BN_CTX_free(new_ctx);
 
- #endif
 
-     return ret;
 
- }
 
- /*
 
-  * Converts an EC_POINT to an octet string. If buf is NULL, the encoded
 
-  * length will be returned. If the length len of buf is smaller than required
 
-  * an error will be returned.
 
-  */
 
- size_t ossl_ec_GF2m_simple_point2oct(const EC_GROUP *group,
 
-                                      const EC_POINT *point,
 
-                                      point_conversion_form_t form,
 
-                                      unsigned char *buf, size_t len, BN_CTX *ctx)
 
- {
 
-     size_t ret;
 
-     int used_ctx = 0;
 
-     BIGNUM *x, *y, *yxi;
 
-     size_t field_len, i, skip;
 
- #ifndef FIPS_MODULE
 
-     BN_CTX *new_ctx = NULL;
 
- #endif
 
-     if ((form != POINT_CONVERSION_COMPRESSED)
 
-         && (form != POINT_CONVERSION_UNCOMPRESSED)
 
-         && (form != POINT_CONVERSION_HYBRID)) {
 
-         ERR_raise(ERR_LIB_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) {
 
-                 ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
 
-                 return 0;
 
-             }
 
-             buf[0] = 0;
 
-         }
 
-         return 1;
 
-     }
 
-     /* ret := required output buffer length */
 
-     field_len = (EC_GROUP_get_degree(group) + 7) / 8;
 
-     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) {
 
-             ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
 
-             goto err;
 
-         }
 
- #ifndef FIPS_MODULE
 
-         if (ctx == NULL) {
 
-             ctx = new_ctx = BN_CTX_new();
 
-             if (ctx == NULL)
 
-                 return 0;
 
-         }
 
- #endif
 
-         BN_CTX_start(ctx);
 
-         used_ctx = 1;
 
-         x = BN_CTX_get(ctx);
 
-         y = BN_CTX_get(ctx);
 
-         yxi = BN_CTX_get(ctx);
 
-         if (yxi == NULL)
 
-             goto err;
 
-         if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
 
-             goto err;
 
-         buf[0] = form;
 
-         if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) {
 
-             if (!group->meth->field_div(group, yxi, y, x, ctx))
 
-                 goto err;
 
-             if (BN_is_odd(yxi))
 
-                 buf[0]++;
 
-         }
 
-         i = 1;
 
-         skip = field_len - BN_num_bytes(x);
 
-         if (skip > field_len) {
 
-             ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
 
-             goto err;
 
-         }
 
-         while (skip > 0) {
 
-             buf[i++] = 0;
 
-             skip--;
 
-         }
 
-         skip = BN_bn2bin(x, buf + i);
 
-         i += skip;
 
-         if (i != 1 + field_len) {
 
-             ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
 
-             goto err;
 
-         }
 
-         if (form == POINT_CONVERSION_UNCOMPRESSED
 
-             || form == POINT_CONVERSION_HYBRID) {
 
-             skip = field_len - BN_num_bytes(y);
 
-             if (skip > field_len) {
 
-                 ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
 
-                 goto err;
 
-             }
 
-             while (skip > 0) {
 
-                 buf[i++] = 0;
 
-                 skip--;
 
-             }
 
-             skip = BN_bn2bin(y, buf + i);
 
-             i += skip;
 
-         }
 
-         if (i != ret) {
 
-             ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
 
-             goto err;
 
-         }
 
-     }
 
-     if (used_ctx)
 
-         BN_CTX_end(ctx);
 
- #ifndef FIPS_MODULE
 
-     BN_CTX_free(new_ctx);
 
- #endif
 
-     return ret;
 
-  err:
 
-     if (used_ctx)
 
-         BN_CTX_end(ctx);
 
- #ifndef FIPS_MODULE
 
-     BN_CTX_free(new_ctx);
 
- #endif
 
-     return 0;
 
- }
 
- /*
 
-  * Converts an octet string representation to an EC_POINT. Note that the
 
-  * simple implementation only uses affine coordinates.
 
-  */
 
- int ossl_ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
 
-                                   const unsigned char *buf, size_t len,
 
-                                   BN_CTX *ctx)
 
- {
 
-     point_conversion_form_t form;
 
-     int y_bit, m;
 
-     BIGNUM *x, *y, *yxi;
 
-     size_t field_len, enc_len;
 
-     int ret = 0;
 
- #ifndef FIPS_MODULE
 
-     BN_CTX *new_ctx = NULL;
 
- #endif
 
-     if (len == 0) {
 
-         ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
 
-         return 0;
 
-     }
 
-     /*
 
-      * The first octet is the point conversion octet PC, see X9.62, page 4
 
-      * and section 4.4.2.  It must be:
 
-      *     0x00          for the point at infinity
 
-      *     0x02 or 0x03  for compressed form
 
-      *     0x04          for uncompressed form
 
-      *     0x06 or 0x07  for hybrid form.
 
-      * For compressed or hybrid forms, we store the last bit of buf[0] as
 
-      * y_bit and clear it from buf[0] so as to obtain a POINT_CONVERSION_*.
 
-      * We error if buf[0] contains any but the above values.
 
-      */
 
-     y_bit = buf[0] & 1;
 
-     form = buf[0] & ~1U;
 
-     if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
 
-         && (form != POINT_CONVERSION_UNCOMPRESSED)
 
-         && (form != POINT_CONVERSION_HYBRID)) {
 
-         ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-         return 0;
 
-     }
 
-     if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
 
-         ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-         return 0;
 
-     }
 
-     /* The point at infinity is represented by a single zero octet. */
 
-     if (form == 0) {
 
-         if (len != 1) {
 
-             ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-             return 0;
 
-         }
 
-         return EC_POINT_set_to_infinity(group, point);
 
-     }
 
-     m = EC_GROUP_get_degree(group);
 
-     field_len = (m + 7) / 8;
 
-     enc_len =
 
-         (form ==
 
-          POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
 
-     if (len != enc_len) {
 
-         ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-         return 0;
 
-     }
 
- #ifndef FIPS_MODULE
 
-     if (ctx == NULL) {
 
-         ctx = new_ctx = BN_CTX_new();
 
-         if (ctx == NULL)
 
-             return 0;
 
-     }
 
- #endif
 
-     BN_CTX_start(ctx);
 
-     x = BN_CTX_get(ctx);
 
-     y = BN_CTX_get(ctx);
 
-     yxi = BN_CTX_get(ctx);
 
-     if (yxi == NULL)
 
-         goto err;
 
-     if (!BN_bin2bn(buf + 1, field_len, x))
 
-         goto err;
 
-     if (BN_num_bits(x) > m) {
 
-         ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-         goto err;
 
-     }
 
-     if (form == POINT_CONVERSION_COMPRESSED) {
 
-         if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
 
-             goto err;
 
-     } else {
 
-         if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
 
-             goto err;
 
-         if (BN_num_bits(y) > m) {
 
-             ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-             goto err;
 
-         }
 
-         if (form == POINT_CONVERSION_HYBRID) {
 
-             /*
 
-              * Check that the form in the encoding was set correctly
 
-              * according to X9.62 4.4.2.a, 4(c), see also first paragraph
 
-              * of X9.62, 4.4.1.b.
 
-              */
 
-             if (BN_is_zero(x)) {
 
-                 if (y_bit != 0) {
 
-                     ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-                     goto err;
 
-                 }
 
-             } else {
 
-                 if (!group->meth->field_div(group, yxi, y, x, ctx))
 
-                     goto err;
 
-                 if (y_bit != BN_is_odd(yxi)) {
 
-                     ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
 
-                     goto err;
 
-                 }
 
-             }
 
-         }
 
-         /*
 
-          * EC_POINT_set_affine_coordinates is responsible for checking that
 
-          * the point is on the curve.
 
-          */
 
-         if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
 
-             goto err;
 
-     }
 
-     ret = 1;
 
-  err:
 
-     BN_CTX_end(ctx);
 
- #ifndef FIPS_MODULE
 
-     BN_CTX_free(new_ctx);
 
- #endif
 
-     return ret;
 
- }
 
- #endif
 
 
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