1*2139Sjp161948 /* crypto/ec/ec2_smpt.c */
2*2139Sjp161948 /* This code was originally written by Douglas Stebila
3*2139Sjp161948 * <dstebila@student.math.uwaterloo.ca> for the OpenSSL project.
4*2139Sjp161948 */
5*2139Sjp161948 /* ====================================================================
6*2139Sjp161948 * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
7*2139Sjp161948 *
8*2139Sjp161948 * Redistribution and use in source and binary forms, with or without
9*2139Sjp161948 * modification, are permitted provided that the following conditions
10*2139Sjp161948 * are met:
11*2139Sjp161948 *
12*2139Sjp161948 * 1. Redistributions of source code must retain the above copyright
13*2139Sjp161948 * notice, this list of conditions and the following disclaimer.
14*2139Sjp161948 *
15*2139Sjp161948 * 2. Redistributions in binary form must reproduce the above copyright
16*2139Sjp161948 * notice, this list of conditions and the following disclaimer in
17*2139Sjp161948 * the documentation and/or other materials provided with the
18*2139Sjp161948 * distribution.
19*2139Sjp161948 *
20*2139Sjp161948 * 3. All advertising materials mentioning features or use of this
21*2139Sjp161948 * software must display the following acknowledgment:
22*2139Sjp161948 * "This product includes software developed by the OpenSSL Project
23*2139Sjp161948 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24*2139Sjp161948 *
25*2139Sjp161948 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26*2139Sjp161948 * endorse or promote products derived from this software without
27*2139Sjp161948 * prior written permission. For written permission, please contact
28*2139Sjp161948 * openssl-core@openssl.org.
29*2139Sjp161948 *
30*2139Sjp161948 * 5. Products derived from this software may not be called "OpenSSL"
31*2139Sjp161948 * nor may "OpenSSL" appear in their names without prior written
32*2139Sjp161948 * permission of the OpenSSL Project.
33*2139Sjp161948 *
34*2139Sjp161948 * 6. Redistributions of any form whatsoever must retain the following
35*2139Sjp161948 * acknowledgment:
36*2139Sjp161948 * "This product includes software developed by the OpenSSL Project
37*2139Sjp161948 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38*2139Sjp161948 *
39*2139Sjp161948 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40*2139Sjp161948 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41*2139Sjp161948 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42*2139Sjp161948 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43*2139Sjp161948 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44*2139Sjp161948 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45*2139Sjp161948 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46*2139Sjp161948 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47*2139Sjp161948 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48*2139Sjp161948 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49*2139Sjp161948 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50*2139Sjp161948 * OF THE POSSIBILITY OF SUCH DAMAGE.
51*2139Sjp161948 * ====================================================================
52*2139Sjp161948 *
53*2139Sjp161948 * This product includes cryptographic software written by Eric Young
54*2139Sjp161948 * (eay@cryptsoft.com). This product includes software written by Tim
55*2139Sjp161948 * Hudson (tjh@cryptsoft.com).
56*2139Sjp161948 *
57*2139Sjp161948 */
58*2139Sjp161948
59*2139Sjp161948
60*2139Sjp161948 /* Calaculates and sets the affine coordinates of an EC_POINT from the given
61*2139Sjp161948 * compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
62*2139Sjp161948 * Note that the simple implementation only uses affine coordinates.
63*2139Sjp161948 *
64*2139Sjp161948 * This algorithm is patented by Certicom Corp. under US Patent 6,141,420
65*2139Sjp161948 * (for licensing information, contact licensing@certicom.com).
66*2139Sjp161948 * This function is disabled by default and can be enabled by defining the
67*2139Sjp161948 * preprocessor macro OPENSSL_EC_BIN_PT_COMP at Configure-time.
68*2139Sjp161948 */
ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP * group,EC_POINT * point,const BIGNUM * x_,int y_bit,BN_CTX * ctx)69*2139Sjp161948 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
70*2139Sjp161948 const BIGNUM *x_, int y_bit, BN_CTX *ctx)
71*2139Sjp161948 {
72*2139Sjp161948 #ifndef OPENSSL_EC_BIN_PT_COMP
73*2139Sjp161948 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_DISABLED);
74*2139Sjp161948 return 0;
75*2139Sjp161948 #else
76*2139Sjp161948 BN_CTX *new_ctx = NULL;
77*2139Sjp161948 BIGNUM *tmp, *x, *y, *z;
78*2139Sjp161948 int ret = 0, z0;
79*2139Sjp161948
80*2139Sjp161948 /* clear error queue */
81*2139Sjp161948 ERR_clear_error();
82*2139Sjp161948
83*2139Sjp161948 if (ctx == NULL)
84*2139Sjp161948 {
85*2139Sjp161948 ctx = new_ctx = BN_CTX_new();
86*2139Sjp161948 if (ctx == NULL)
87*2139Sjp161948 return 0;
88*2139Sjp161948 }
89*2139Sjp161948
90*2139Sjp161948 y_bit = (y_bit != 0) ? 1 : 0;
91*2139Sjp161948
92*2139Sjp161948 BN_CTX_start(ctx);
93*2139Sjp161948 tmp = BN_CTX_get(ctx);
94*2139Sjp161948 x = BN_CTX_get(ctx);
95*2139Sjp161948 y = BN_CTX_get(ctx);
96*2139Sjp161948 z = BN_CTX_get(ctx);
97*2139Sjp161948 if (z == NULL) goto err;
98*2139Sjp161948
99*2139Sjp161948 if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err;
100*2139Sjp161948 if (BN_is_zero(x))
101*2139Sjp161948 {
102*2139Sjp161948 if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err;
103*2139Sjp161948 }
104*2139Sjp161948 else
105*2139Sjp161948 {
106*2139Sjp161948 if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err;
107*2139Sjp161948 if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err;
108*2139Sjp161948 if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err;
109*2139Sjp161948 if (!BN_GF2m_add(tmp, x, tmp)) goto err;
110*2139Sjp161948 if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx))
111*2139Sjp161948 {
112*2139Sjp161948 unsigned long err = ERR_peek_last_error();
113*2139Sjp161948
114*2139Sjp161948 if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NO_SOLUTION)
115*2139Sjp161948 {
116*2139Sjp161948 ERR_clear_error();
117*2139Sjp161948 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
118*2139Sjp161948 }
119*2139Sjp161948 else
120*2139Sjp161948 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
121*2139Sjp161948 goto err;
122*2139Sjp161948 }
123*2139Sjp161948 z0 = (BN_is_odd(z)) ? 1 : 0;
124*2139Sjp161948 if (!group->meth->field_mul(group, y, x, z, ctx)) goto err;
125*2139Sjp161948 if (z0 != y_bit)
126*2139Sjp161948 {
127*2139Sjp161948 if (!BN_GF2m_add(y, y, x)) goto err;
128*2139Sjp161948 }
129*2139Sjp161948 }
130*2139Sjp161948
131*2139Sjp161948 if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
132*2139Sjp161948
133*2139Sjp161948 ret = 1;
134*2139Sjp161948
135*2139Sjp161948 err:
136*2139Sjp161948 BN_CTX_end(ctx);
137*2139Sjp161948 if (new_ctx != NULL)
138*2139Sjp161948 BN_CTX_free(new_ctx);
139*2139Sjp161948 return ret;
140*2139Sjp161948 #endif
141*2139Sjp161948 }
142