Changes between 0.9.7 and 0.9.8 [xx XXX 2002]
+ *) Add named elliptic curves over binary fields from X9.62, SECG,
+ and WAP/WTLS; add OIDs that were still missing.
+
+ [Sheueling Chang Shantz and Douglas Stebila
+ (Sun Microsystems Laboratories)]
+
+ *) Extend the EC library for elliptic curves over binary fields
+ (new files ec2_smpl.c, ec2_smpt.c, ec2_mult.c in crypto/ec/).
+ New EC_METHOD:
+
+ EC_GF2m_simple_method
+
+ New API functions:
+
+ EC_GROUP_new_curve_GF2m
+ EC_GROUP_set_curve_GF2m
+ EC_GROUP_get_curve_GF2m
+ EC_POINT_set_Jprojective_coordinates_GF2m
+ EC_POINT_get_Jprojective_coordinates_GF2m
+ EC_POINT_set_affine_coordinates_GF2m
+ EC_POINT_get_affine_coordinates_GF2m
+ EC_POINT_set_compressed_coordinates_GF2m
+
+ Point compression for binary fields is disabled by default for
+ patent reasons (compile with OPENSSL_EC_BIN_PT_COMP defined to
+ enable it).
+
+ As binary polynomials are represented as BIGNUMs, various members
+ of the EC_GROUP and EC_POINT data structures can be shared
+ between the implementations for prime fields and binary fields;
+ the above ..._GF2m functions (except for EX_GROUP_new_curve_GF2m)
+ are essentially identical to their ..._GFp counterparts.
+ (For simplicity, '..._GFp' prefix has been dropped from various
+ internal method names.)
+
+ An internal 'field_div' method (similar to 'field_mul' and
+ 'field_sqr') has been added; this is used only for binary fields.
+
+ [Sheueling Chang Shantz and Douglas Stebila
+ (Sun Microsystems Laboratories)]
+
+ *) Optionally dispatch EC_PONT_mul(), EC_POINT_precompute_mult()
+ through methods ('mul', 'precompute_mult').
+
+ The generic implementations (now internally called 'ec_wNAF_mul'
+ and 'ec_wNAF_precomputed_mult') remain the default if these
+ methods are undefined.
+
+ [Sheueling Chang Shantz and Douglas Stebila
+ (Sun Microsystems Laboratories)]
+
+ *) New function EC_GROUP_get_degree, which is defined through
+ EC_METHOD. For curves over prime fields, this returns the bit
+ length of the modulus.
+
+ [Sheueling Chang Shantz and Douglas Stebila
+ (Sun Microsystems Laboratories)]
+
+ *) New functions EC_GROUP_dup, EC_POINT_dup.
+ (These simply call ..._new and ..._copy).
+
+ [Sheueling Chang Shantz and Douglas Stebila
+ (Sun Microsystems Laboratories)]
+
*) Add binary polynomial arithmetic software in crypto/bn/bn_gf2m.c.
Polynomials are represented as BIGNUMs (where the sign bit is not
used) in the following functions [macros]:
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
- *) Add more WAP/WTLS elliptic curve OIDs.
- [Douglas Stebila <douglas.stebila@sun.com>]
-
*) Add new error code 'ERR_R_DISABLED' that can be used when some
functionality is disabled at compile-time.
[Douglas Stebila <douglas.stebila@sun.com>]
LIB=$(TOP)/libcrypto.a
LIBSRC= ec_lib.c ecp_smpl.c ecp_mont.c ecp_recp.c ecp_nist.c ec_cvt.c ec_mult.c \
- ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c
+ ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c ec2_smpl.c ec2_mult.c
LIBOBJ= ec_lib.o ecp_smpl.o ecp_mont.o ecp_recp.o ecp_nist.o ec_cvt.o ec_mult.o \
- ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o
+ ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o ec2_smpl.o ec2_mult.o
SRC= $(LIBSRC)
ecp_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/ossl_typ.h
ecp_smpl.o: ../../include/openssl/safestack.h ../../include/openssl/stack.h
ecp_smpl.o: ../../include/openssl/symhacks.h ec_lcl.h ecp_smpl.c
+ec2_smpl.o: ../../include/openssl/bio.h ../../include/openssl/bn.h
+ec2_smpl.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h
+ec2_smpl.o: ../../include/openssl/ec.h ../../include/openssl/err.h
+ec2_smpl.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h
+ec2_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h
+ec2_smpl.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h
+ec2_smpl.o: ec_lcl.h ec2_smpl.c ec2_smpt.c
+ec2_mult.o: ../../include/openssl/bio.h ../../include/openssl/bn.h
+ec2_mult.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h
+ec2_mult.o: ../../include/openssl/ec.h ../../include/openssl/err.h
+ec2_mult.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h
+ec2_mult.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h
+ec2_mult.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h
+ec2_mult.o: ec_lcl.h ec2_mult.c
* 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.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the Contribution as delivered hereunder
+ * (or portions thereof), provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the Contribution;
+ * 2) separates from the Contribution; or
+ * 3) for infringements caused by:
+ * i) the modification of the Contribution or
+ * ii) the combination of the Contribution with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#ifndef HEADER_EC_H
#define HEADER_EC_H
const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
#endif
+/* EC_METHODs for curves over GF(2^m).
+ * EC_GF2m_simple_method provides the basis for the optimized methods.
+ */
+const EC_METHOD *EC_GF2m_simple_method(void);
+
EC_GROUP *EC_GROUP_new(const EC_METHOD *);
void EC_GROUP_free(EC_GROUP *);
void EC_GROUP_clear_free(EC_GROUP *);
int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
+EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
int EC_METHOD_get_field_type(const EC_METHOD *);
size_t EC_GROUP_get_seed_len(const EC_GROUP *);
size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
-/* We don't have types for field specifications and field elements in general.
- * Otherwise we could declare
- * int EC_GROUP_set_curve(EC_GROUP *, .....);
- */
int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+
+int EC_GROUP_get_degree(const EC_GROUP *);
/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
* elliptic curve is not zero, 0 otherwise */
int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
-/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
+/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
* after choosing an appropriate EC_METHOD */
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
* generator and order */
#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1
#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1
#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6
-#define EC_GROUP_WTLS_7 NID_secp160r1
+#define EC_GROUP_WTLS_7 NID_wap_wsg_idm_ecid_wtls7
#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8
#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9
-#define EC_GROUP_WTLS_12 NID_secp224r1
+#define EC_GROUP_WTLS_12 NID_wap_wsg_idm_ecid_wtls12
+#define EC_GROUP_NIST_CHAR2_K163 NID_sect163k1
+#define EC_GROUP_NIST_CHAR2_B163 NID_sect163r2
+#define EC_GROUP_NIST_CHAR2_K233 NID_sect233k1
+#define EC_GROUP_NIST_CHAR2_B233 NID_sect233r1
+#define EC_GROUP_NIST_CHAR2_K283 NID_sect283k1
+#define EC_GROUP_NIST_CHAR2_B283 NID_sect283r1
+#define EC_GROUP_NIST_CHAR2_K409 NID_sect409k1
+#define EC_GROUP_NIST_CHAR2_B409 NID_sect409r1
+#define EC_GROUP_NIST_CHAR2_K571 NID_sect571k1
+#define EC_GROUP_NIST_CHAR2_B571 NID_sect571r1
+#define EC_GROUP_X9_62_CHAR2_163V1 NID_X9_62_c2pnb163v1
+#define EC_GROUP_X9_62_CHAR2_163V2 NID_X9_62_c2pnb163v2
+#define EC_GROUP_X9_62_CHAR2_163V3 NID_X9_62_c2pnb163v3
+#define EC_GROUP_X9_62_CHAR2_176V1 NID_X9_62_c2pnb176v1
+#define EC_GROUP_X9_62_CHAR2_191V1 NID_X9_62_c2tnb191v1
+#define EC_GROUP_X9_62_CHAR2_191V2 NID_X9_62_c2tnb191v2
+#define EC_GROUP_X9_62_CHAR2_191V3 NID_X9_62_c2tnb191v3
+#define EC_GROUP_X9_62_CHAR2_208W1 NID_X9_62_c2pnb208w1
+#define EC_GROUP_X9_62_CHAR2_239V1 NID_X9_62_c2tnb239v1
+#define EC_GROUP_X9_62_CHAR2_239V2 NID_X9_62_c2tnb239v2
+#define EC_GROUP_X9_62_CHAR2_239V3 NID_X9_62_c2tnb239v3
+#define EC_GROUP_X9_62_CHAR2_272W1 NID_X9_62_c2pnb272w1
+#define EC_GROUP_X9_62_CHAR2_304W1 NID_X9_62_c2pnb304w1
+#define EC_GROUP_X9_62_CHAR2_359V1 NID_X9_62_c2tnb359v1
+#define EC_GROUP_X9_62_CHAR2_368W1 NID_X9_62_c2pnb368w1
+#define EC_GROUP_X9_62_CHAR2_431R1 NID_X9_62_c2tnb431r1
+#define EC_GROUP_SECG_CHAR2_113R1 NID_sect113r1
+#define EC_GROUP_SECG_CHAR2_113R2 NID_sect113r2
+#define EC_GROUP_SECG_CHAR2_131R1 NID_sect131r1
+#define EC_GROUP_SECG_CHAR2_131R2 NID_sect131r2
+#define EC_GROUP_SECG_CHAR2_163K1 NID_sect163k1
+#define EC_GROUP_SECG_CHAR2_163R1 NID_sect163r1
+#define EC_GROUP_SECG_CHAR2_163R2 NID_sect163r2
+#define EC_GROUP_SECG_CHAR2_193R1 NID_sect193r1
+#define EC_GROUP_SECG_CHAR2_193R2 NID_sect193r2
+#define EC_GROUP_SECG_CHAR2_233K1 NID_sect233k1
+#define EC_GROUP_SECG_CHAR2_233R1 NID_sect233r1
+#define EC_GROUP_SECG_CHAR2_239K1 NID_sect239k1
+#define EC_GROUP_SECG_CHAR2_283K1 NID_sect283k1
+#define EC_GROUP_SECG_CHAR2_283R1 NID_sect283r1
+#define EC_GROUP_SECG_CHAR2_409K1 NID_sect409k1
+#define EC_GROUP_SECG_CHAR2_409R1 NID_sect409r1
+#define EC_GROUP_SECG_CHAR2_571K1 NID_sect571k1
+#define EC_GROUP_SECG_CHAR2_571R1 NID_sect571r1
+#define EC_GROUP_WTLS_1 NID_wap_wsg_idm_ecid_wtls1
+#define EC_GROUP_WTLS_3 NID_wap_wsg_idm_ecid_wtls3
+#define EC_GROUP_WTLS_4 NID_wap_wsg_idm_ecid_wtls4
+#define EC_GROUP_WTLS_5 NID_wap_wsg_idm_ecid_wtls5
+#define EC_GROUP_WTLS_10 NID_wap_wsg_idm_ecid_wtls10
+#define EC_GROUP_WTLS_11 NID_wap_wsg_idm_ecid_wtls11
EC_POINT *EC_POINT_new(const EC_GROUP *);
void EC_POINT_free(EC_POINT *);
void EC_POINT_clear_free(EC_POINT *);
int EC_POINT_copy(EC_POINT *, const EC_POINT *);
+EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
+int EC_POINT_set_Jprojective_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
+int EC_POINT_get_Jprojective_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+
size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162
#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163
+#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 168
+#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 169
+#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 170
+#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M 171
+#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M 172
+#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M 185
#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
#define EC_F_EC_GFP_MONT_FIELD_MUL 131
#define EC_F_EC_GROUP_COPY 106
#define EC_F_EC_GROUP_GET0_GENERATOR 139
#define EC_F_EC_GROUP_GET_COFACTOR 140
+#define EC_F_EC_GROUP_GET_CURVE_GF2M 173
#define EC_F_EC_GROUP_GET_CURVE_GFP 130
+#define EC_F_EC_GROUP_GET_DEGREE 174
#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
#define EC_F_EC_GROUP_GET_ORDER 141
#define EC_F_EC_GROUP_GROUP2NID 147
#define EC_F_EC_GROUP_NEW 108
#define EC_F_EC_GROUP_NEW_BY_NAME 144
#define EC_F_EC_GROUP_NEW_BY_NID 146
+#define EC_F_EC_GROUP_NEW_GF2M_FROM_HEX 175
#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148
#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
+#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
#define EC_F_EC_GROUP_SET_CURVE_GFP 109
#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
#define EC_F_EC_GROUP_SET_GENERATOR 111
#define EC_F_EC_POINT_CMP 113
#define EC_F_EC_POINT_COPY 114
#define EC_F_EC_POINT_DBL 115
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 177
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
+#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M 178
#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
#define EC_F_EC_POINT_IS_AT_INFINITY 118
#define EC_F_EC_POINT_IS_ON_CURVE 119
#define EC_F_EC_POINT_MAKE_AFFINE 120
+#define EC_F_EC_POINT_MUL 179
#define EC_F_EC_POINT_NEW 121
#define EC_F_EC_POINT_OCT2POINT 122
#define EC_F_EC_POINT_POINT2OCT 123
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 180
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 181
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
+#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M 182
#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
#define EC_F_EC_POINT_SET_TO_INFINITY 127
+#define EC_F_EC_WNAF_MUL 183
+#define EC_F_EC_WNAF_PRECOMPUTE_MULT 184
#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
#define EC_F_I2D_ECDSAPARAMETERS 158
#define EC_F_I2D_ECPARAMETERS 164
--- /dev/null
+/* crypto/ec/ec2_mult.c */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
+ * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
+ * to the OpenSSL project.
+ *
+ * The ECC Code is licensed pursuant to the OpenSSL open source
+ * license provided below.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the ECC Code as delivered hereunder (or portions thereof),
+ * provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the ECC Code;
+ * 2) separates from the ECC Code; or
+ * 3) for infringements caused by:
+ * i) the modification of the ECC Code or
+ * ii) the combination of the ECC Code with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The software is originally written by Sheueling Chang Shantz and
+ * Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2002 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).
+ *
+ */
+
+#include <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+/* Compute the x-coordinate x/z for the point 2*(x/z) in Montgomery projective
+ * coordinates.
+ * Uses algorithm Mdouble in appendix of
+ * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation".
+ * modified to not require precomputation of c=b^{2^{m-1}}.
+ */
+static int Mdouble(const EC_GROUP *group, BIGNUM *x, BIGNUM *z, BN_CTX *ctx)
+ {
+ BIGNUM *t1;
+ int ret = 0;
+
+ /* Since Mdouble is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ if (t1 == NULL) goto err;
+
+ if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t1, z, ctx)) goto err;
+ if (!group->meth->field_mul(group, z, x, t1, ctx)) goto err;
+ if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t1, t1, ctx)) goto err;
+ if (!group->meth->field_mul(group, t1, &group->b, t1, ctx)) goto err;
+ if (!BN_GF2m_add(x, x, t1)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the x-coordinate x1/z1 for the point (x1/z1)+(x2/x2) in Montgomery
+ * projective coordinates.
+ * Uses algorithm Madd in appendix of
+ * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation".
+ */
+static int Madd(const EC_GROUP *group, const BIGNUM *x, BIGNUM *x1, BIGNUM *z1,
+ const BIGNUM *x2, const BIGNUM *z2, BN_CTX *ctx)
+ {
+ BIGNUM *t1, *t2;
+ int ret = 0;
+
+ /* Since Madd is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ t2 = BN_CTX_get(ctx);
+ if (t2 == NULL) goto err;
+
+ if (!BN_copy(t1, x)) goto err;
+ if (!group->meth->field_mul(group, x1, x1, z2, ctx)) goto err;
+ if (!group->meth->field_mul(group, z1, z1, x2, ctx)) goto err;
+ if (!group->meth->field_mul(group, t2, x1, z1, ctx)) goto err;
+ if (!BN_GF2m_add(z1, z1, x1)) goto err;
+ if (!group->meth->field_sqr(group, z1, z1, ctx)) goto err;
+ if (!group->meth->field_mul(group, x1, z1, t1, ctx)) goto err;
+ if (!BN_GF2m_add(x1, x1, t2)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the affine coordinates x2, y2=z2 for the point (x1/z1) and (x2/x2) in
+ * Montgomery projective coordinates.
+ * Uses algorithm Mxy in appendix of
+ * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation".
+ * Returns:
+ * 0 on error
+ * 1 if return value should be the point at infinity
+ * 2 otherwise
+ */
+static int Mxy(const EC_GROUP *group, const BIGNUM *x, const BIGNUM *y, BIGNUM *x1,
+ BIGNUM *z1, BIGNUM *x2, BIGNUM *z2, BN_CTX *ctx)
+ {
+ BIGNUM *t3, *t4, *t5;
+ int ret = 0;
+
+ if (BN_is_zero(z1))
+ {
+ if (!BN_zero(x2)) return 0;
+ if (!BN_zero(z2)) return 0;
+ return 1;
+ }
+
+ if (BN_is_zero(z2))
+ {
+ if (!BN_copy(x2, x)) return 0;
+ if (!BN_GF2m_add(z2, x, y)) return 0;
+ return 2;
+ }
+
+ /* Since Mxy is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t3 = BN_CTX_get(ctx);
+ t4 = BN_CTX_get(ctx);
+ t5 = BN_CTX_get(ctx);
+ if (t5 == NULL) goto err;
+
+ if (!BN_one(t5)) goto err;
+
+ if (!group->meth->field_mul(group, t3, z1, z2, ctx)) goto err;
+
+ if (!group->meth->field_mul(group, z1, z1, x, ctx)) goto err;
+ if (!BN_GF2m_add(z1, z1, x1)) goto err;
+ if (!group->meth->field_mul(group, z2, z2, x, ctx)) goto err;
+ if (!group->meth->field_mul(group, x1, z2, x1, ctx)) goto err;
+ if (!BN_GF2m_add(z2, z2, x2)) goto err;
+
+ if (!group->meth->field_mul(group, z2, z2, z1, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t4, x, ctx)) goto err;
+ if (!BN_GF2m_add(t4, t4, y)) goto err;
+ if (!group->meth->field_mul(group, t4, t4, t3, ctx)) goto err;
+ if (!BN_GF2m_add(t4, t4, z2)) goto err;
+
+ if (!group->meth->field_mul(group, t3, t3, x, ctx)) goto err;
+ if (!group->meth->field_div(group, t3, t5, t3, ctx)) goto err;
+ if (!group->meth->field_mul(group, t4, t3, t4, ctx)) goto err;
+ if (!group->meth->field_mul(group, x2, x1, t3, ctx)) goto err;
+ if (!BN_GF2m_add(z2, x2, x)) goto err;
+
+ if (!group->meth->field_mul(group, z2, z2, t4, ctx)) goto err;
+ if (!BN_GF2m_add(z2, z2, y)) goto err;
+
+ ret = 2;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Computes scalar*point and stores the result in r.
+ * point can not equal r.
+ * Uses algorithm 2P of
+ * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation".
+ */
+static int point_multiply(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ const EC_POINT *point, BN_CTX *ctx)
+ {
+ BIGNUM *x1, *x2, *z1, *z2;
+ int ret = 0, i, j;
+ BN_ULONG mask;
+
+ if (r == point)
+ {
+ ECerr(EC_F_EC_POINT_MUL, EC_R_INVALID_ARGUMENT);
+ return 0;
+ }
+
+ /* if result should be point at infinity */
+ if ((scalar == NULL) || BN_is_zero(scalar) || (point == NULL) ||
+ EC_POINT_is_at_infinity(group, point))
+ {
+ return EC_POINT_set_to_infinity(group, r);
+ }
+
+ /* only support affine coordinates */
+ if (!point->Z_is_one) return 0;
+
+ /* Since point_multiply is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ x1 = BN_CTX_get(ctx);
+ z1 = BN_CTX_get(ctx);
+ if (z1 == NULL) goto err;
+
+ x2 = &r->X;
+ z2 = &r->Y;
+
+ if (!BN_GF2m_mod_arr(x1, &point->X, group->poly)) goto err; /* x1 = x */
+ if (!BN_one(z1)) goto err; /* z1 = 1 */
+ if (!group->meth->field_sqr(group, z2, x1, ctx)) goto err; /* z2 = x1^2 = x^2 */
+ if (!group->meth->field_sqr(group, x2, z2, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->b)) goto err; /* x2 = x^4 + b */
+
+ /* find top most bit and go one past it */
+ i = scalar->top - 1; j = BN_BITS2 - 1;
+ mask = BN_TBIT;
+ while (!(scalar->d[i] & mask)) { mask >>= 1; j--; }
+ mask >>= 1; j--;
+ /* if top most bit was at word break, go to next word */
+ if (!mask)
+ {
+ i--; j = BN_BITS2 - 1;
+ mask = BN_TBIT;
+ }
+
+ for (; i >= 0; i--)
+ {
+ for (; j >= 0; j--)
+ {
+ if (scalar->d[i] & mask)
+ {
+ if (!Madd(group, &point->X, x1, z1, x2, z2, ctx)) goto err;
+ if (!Mdouble(group, x2, z2, ctx)) goto err;
+ }
+ else
+ {
+ if (!Madd(group, &point->X, x2, z2, x1, z1, ctx)) goto err;
+ if (!Mdouble(group, x1, z1, ctx)) goto err;
+ }
+ mask >>= 1;
+ }
+ j = BN_BITS2 - 1;
+ mask = BN_TBIT;
+ }
+
+ /* convert out of "projective" coordinates */
+ i = Mxy(group, &point->X, &point->Y, x1, z1, x2, z2, ctx);
+ if (i == 0) goto err;
+ else if (i == 1)
+ {
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+ }
+ else
+ {
+ if (!BN_one(&r->Z)) goto err;
+ r->Z_is_one = 1;
+ }
+
+ /* GF(2^m) field elements should always have BIGNUM::neg = 0 */
+ r->X.neg = 0;
+ r->Y.neg = 0;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+
+/* Computes the sum
+ * scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1]
+ * gracefully ignoring NULL scalar values.
+ */
+int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ int ret = 0, i;
+ EC_POINT *p=NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ /* This implementation is more efficient than the wNAF implementation for 2
+ * or fewer points. Use the ec_wNAF_mul implementation 3 or more points.
+ */
+ if ((scalar && (num > 1)) || (num > 2))
+ {
+ ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
+ goto err;
+ }
+
+ if ((p = EC_POINT_new(group)) == NULL) goto err;
+
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+
+ if (scalar)
+ {
+ if (!point_multiply(group, p, scalar, group->generator, ctx)) goto err;
+ if (scalar->neg) if (!group->meth->invert(group, p, ctx)) goto err;
+ if (!group->meth->add(group, r, r, p, ctx)) goto err;
+ }
+
+ for (i = 0; i < num; i++)
+ {
+ if (!point_multiply(group, p, scalars[i], points[i], ctx)) goto err;
+ if (scalars[i]->neg) if (!group->meth->invert(group, p, ctx)) goto err;
+ if (!group->meth->add(group, r, r, p, ctx)) goto err;
+ }
+
+ ret = 1;
+
+ err:
+ if (p) EC_POINT_free(p);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Precomputation for point multiplication. */
+int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+ {
+ /* There is no precomputation to do for Montgomery scalar multiplication but
+ * since this implementation falls back to the wNAF multiplication for more than
+ * two points, call the wNAF implementation's precompute.
+ */
+ return ec_wNAF_precompute_mult(group, ctx);
+ }
--- /dev/null
+/* crypto/ec/ec2_smpl.c */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
+ * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
+ * to the OpenSSL project.
+ *
+ * The ECC Code is licensed pursuant to the OpenSSL open source
+ * license provided below.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the ECC Code as delivered hereunder (or portions thereof),
+ * provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the ECC Code;
+ * 2) separates from the ECC Code; or
+ * 3) for infringements caused by:
+ * i) the modification of the ECC Code or
+ * ii) the combination of the ECC Code with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The software is originally written by Sheueling Chang Shantz and
+ * Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2002 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).
+ *
+ */
+
+#include <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+const EC_METHOD *EC_GF2m_simple_method(void)
+ {
+ static const EC_METHOD ret = {
+ NID_X9_62_characteristic_two_field,
+ ec_GF2m_simple_group_init,
+ ec_GF2m_simple_group_finish,
+ ec_GF2m_simple_group_clear_finish,
+ ec_GF2m_simple_group_copy,
+ ec_GF2m_simple_group_set_curve_GF2m,
+ ec_GF2m_simple_group_get_curve_GF2m,
+ ec_GF2m_simple_group_get_degree,
+ ec_GF2m_simple_group_check_discriminant,
+ ec_GF2m_simple_point_init,
+ ec_GF2m_simple_point_finish,
+ ec_GF2m_simple_point_clear_finish,
+ ec_GF2m_simple_point_copy,
+ ec_GF2m_simple_point_set_to_infinity,
+ 0 /* set_Jprojective_coordinates_GF2m */,
+ 0 /* get_Jprojective_coordinates_GF2m */,
+ ec_GF2m_simple_point_set_affine_coordinates_GF2m,
+ ec_GF2m_simple_point_get_affine_coordinates_GF2m,
+ ec_GF2m_simple_set_compressed_coordinates_GF2m,
+ ec_GF2m_simple_point2oct,
+ ec_GF2m_simple_oct2point,
+ ec_GF2m_simple_add,
+ ec_GF2m_simple_dbl,
+ ec_GF2m_simple_invert,
+ ec_GF2m_mont_mul,
+ ec_GF2m_mont_precompute_mult,
+ ec_GF2m_simple_is_at_infinity,
+ ec_GF2m_simple_is_on_curve,
+ ec_GF2m_simple_cmp,
+ ec_GF2m_simple_make_affine,
+ ec_GF2m_simple_points_make_affine,
+ ec_GF2m_simple_field_mul,
+ ec_GF2m_simple_field_sqr,
+ ec_GF2m_simple_field_div,
+ 0 /* field_encode */,
+ 0 /* field_decode */,
+ 0 /* field_set_to_one */ };
+
+ return &ret;
+ }
+
+
+/* Initialize a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_new.
+ */
+int ec_GF2m_simple_group_init(EC_GROUP *group)
+ {
+ BN_init(&group->field);
+ BN_init(&group->a);
+ BN_init(&group->b);
+ return 1;
+ }
+
+
+/* Free a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_free.
+ */
+void ec_GF2m_simple_group_finish(EC_GROUP *group)
+ {
+ BN_free(&group->field);
+ BN_free(&group->a);
+ BN_free(&group->b);
+ }
+
+
+/* Clear and free a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_clear_free.
+ */
+void ec_GF2m_simple_group_clear_finish(EC_GROUP *group)
+ {
+ BN_clear_free(&group->field);
+ BN_clear_free(&group->a);
+ BN_clear_free(&group->b);
+ group->poly[0] = 0;
+ group->poly[1] = 0;
+ group->poly[2] = 0;
+ group->poly[3] = 0;
+ group->poly[4] = 0;
+ }
+
+
+/* Copy a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_copy.
+ */
+int ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ int i;
+ if (!BN_copy(&dest->field, &src->field)) return 0;
+ if (!BN_copy(&dest->a, &src->a)) return 0;
+ if (!BN_copy(&dest->b, &src->b)) return 0;
+ dest->poly[0] = src->poly[0];
+ dest->poly[1] = src->poly[1];
+ dest->poly[2] = src->poly[2];
+ dest->poly[3] = src->poly[3];
+ dest->poly[4] = src->poly[4];
+ bn_wexpand(&dest->a, (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2);
+ bn_wexpand(&dest->b, (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2);
+ for (i = dest->a.top; i < dest->a.dmax; i++) dest->a.d[i] = 0;
+ for (i = dest->b.top; i < dest->b.dmax; i++) dest->b.d[i] = 0;
+ return 1;
+ }
+
+
+/* Set the curve parameters of an EC_GROUP structure. */
+int ec_GF2m_simple_group_set_curve_GF2m(EC_GROUP *group,
+ const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0, i;
+
+ /* group->field */
+ if (!BN_copy(&group->field, p)) goto err;
+ i = BN_GF2m_poly2arr(&group->field, group->poly, 5);
+ if ((i != 5) && (i != 3)) goto err;
+
+ /* group->a */
+ if (!BN_GF2m_mod_arr(&group->a, a, group->poly)) goto err;
+ bn_wexpand(&group->a, (group->poly[0] + BN_BITS2 - 1) / BN_BITS2);
+ for (i = group->a.top; i < group->a.dmax; i++) group->a.d[i] = 0;
+
+ /* group->b */
+ if (!BN_GF2m_mod_arr(&group->b, b, group->poly)) goto err;
+ bn_wexpand(&group->b, (group->poly[0] + BN_BITS2 - 1) / BN_BITS2);
+ for (i = group->b.top; i < group->b.dmax; i++) group->b.d[i] = 0;
+
+ ret = 1;
+ err:
+ return ret;
+ }
+
+
+/* Get the curve parameters of an EC_GROUP structure.
+ * If p, a, or b are NULL then there values will not be set but the method will return with success.
+ */
+int ec_GF2m_simple_group_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0;
+
+ if (p != NULL)
+ {
+ if (!BN_copy(p, &group->field)) return 0;
+ }
+
+ if (a != NULL || b != NULL)
+ {
+ if (a != NULL)
+ {
+ if (!BN_copy(a, &group->a)) goto err;
+ }
+ if (b != NULL)
+ {
+ if (!BN_copy(b, &group->b)) goto err;
+ }
+ }
+
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Gets the degree of the field. For a curve over GF(2^m) this is the value m. */
+int ec_GF2m_simple_group_get_degree(const EC_GROUP *group)
+ {
+ return BN_num_bits(&group->field)-1;
+ }
+
+
+/* Checks the discriminant of the curve.
+ * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p)
+ */
+int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *b;
+ BN_CTX *new_ctx = NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ BN_CTX_start(ctx);
+ b = BN_CTX_get(ctx);
+ if (b == NULL) goto err;
+
+ if (!BN_GF2m_mod_arr(b, &group->b, group->poly)) goto err;
+
+ /* check the discriminant:
+ * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p)
+ */
+ if (BN_is_zero(b)) goto err;
+
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Initializes an EC_POINT. */
+int ec_GF2m_simple_point_init(EC_POINT *point)
+ {
+ BN_init(&point->X);
+ BN_init(&point->Y);
+ BN_init(&point->Z);
+ return 1;
+ }
+
+
+/* Frees an EC_POINT. */
+void ec_GF2m_simple_point_finish(EC_POINT *point)
+ {
+ BN_free(&point->X);
+ BN_free(&point->Y);
+ BN_free(&point->Z);
+ }
+
+
+/* Clears and frees an EC_POINT. */
+void ec_GF2m_simple_point_clear_finish(EC_POINT *point)
+ {
+ BN_clear_free(&point->X);
+ BN_clear_free(&point->Y);
+ BN_clear_free(&point->Z);
+ point->Z_is_one = 0;
+ }
+
+
+/* Copy the contents of one EC_POINT into another. Assumes dest is initialized. */
+int ec_GF2m_simple_point_copy(EC_POINT *dest, const EC_POINT *src)
+ {
+ if (!BN_copy(&dest->X, &src->X)) return 0;
+ if (!BN_copy(&dest->Y, &src->Y)) return 0;
+ if (!BN_copy(&dest->Z, &src->Z)) return 0;
+ dest->Z_is_one = src->Z_is_one;
+
+ return 1;
+ }
+
+
+/* Set an EC_POINT to the point at infinity.
+ * A point at infinity is represented by having Z=0.
+ */
+int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
+ {
+ point->Z_is_one = 0;
+ return (BN_zero(&point->Z));
+ }
+
+
+/* Set the coordinates of an EC_POINT using affine coordinates.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int ec_GF2m_simple_point_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
+ {
+ int ret = 0;
+ if (x == NULL || y == NULL)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if (!BN_copy(&point->X, x)) goto err;
+ if (!BN_copy(&point->Y, y)) goto err;
+ if (!BN_copy(&point->Z, BN_value_one())) goto err;
+ point->Z_is_one = 1;
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Gets the affine coordinates of an EC_POINT.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int ec_GF2m_simple_point_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
+ {
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, point))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_POINT_AT_INFINITY);
+ return 0;
+ }
+
+ if (BN_cmp(&point->Z, BN_value_one()))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (x != NULL)
+ {
+ if (!BN_copy(x, &point->X)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!BN_copy(y, &point->Y)) goto err;
+ }
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Include patented algorithms. */
+#include "ec2_smpt.c"
+
+
+/* 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.
+ *
+ * The point compression section of this function is patented by Certicom Corp.
+ * under US Patent 6,141,420. Point compression is disabled by default and can
+ * be enabled by defining the preprocessor macro OPENSSL_EC_BIN_PT_COMP at
+ * Configure-time.
+ */
+size_t 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;
+ BN_CTX *new_ctx = NULL;
+ int used_ctx = 0;
+ BIGNUM *x, *y, *yxi;
+ size_t field_len, i, skip;
+
+#ifndef OPENSSL_EC_BIN_PT_COMP
+ if ((form == POINT_CONVERSION_COMPRESSED) || (form == POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_DISABLED);
+ goto err;
+ }
+#endif
+
+ if ((form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, 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)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, 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)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, 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);
+ yxi = BN_CTX_get(ctx);
+ if (yxi == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+
+ buf[0] = form;
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ 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]++;
+ }
+#endif
+
+ i = 1;
+
+ skip = field_len - BN_num_bytes(x);
+ if (skip > field_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, 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)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, 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)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ while (skip > 0)
+ {
+ buf[i++] = 0;
+ skip--;
+ }
+ skip = BN_bn2bin(y, buf + i);
+ i += skip;
+ }
+
+ if (i != ret)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+
+ err:
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return 0;
+ }
+
+
+/* Converts an octet string representation to an EC_POINT.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int 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;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y, *yxi;
+ size_t field_len, enc_len;
+ int ret = 0;
+
+ if (len == 0)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+ form = buf[0];
+ y_bit = form & 1;
+ form = form & ~1;
+ if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+ if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ if (form == 0)
+ {
+ if (len != 1)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ return EC_POINT_set_to_infinity(group, point);
+ }
+
+ field_len = (EC_GROUP_get_degree(group) + 7) / 8;
+ enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
+
+ if (len != enc_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, 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);
+ yxi = BN_CTX_get(ctx);
+ if (yxi == NULL) goto err;
+
+ if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
+ if (BN_ucmp(x, &group->field) >= 0)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+
+ if (form == POINT_CONVERSION_COMPRESSED)
+ {
+ if (!EC_POINT_set_compressed_coordinates_GF2m(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)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ if (form == POINT_CONVERSION_HYBRID)
+ {
+ if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
+ if (y_bit != BN_is_odd(yxi))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+ }
+
+ if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
+ goto err;
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Computes a + b and stores the result in r. r could be a or b, a could be b.
+ * Uses algorithm A.10.2 of IEEE P1363.
+ */
+int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ if (!EC_POINT_copy(r, b)) return 0;
+ return 1;
+ }
+
+ if (EC_POINT_is_at_infinity(group, b))
+ {
+ if (!EC_POINT_copy(r, a)) return 0;
+ return 1;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x0 = BN_CTX_get(ctx);
+ y0 = BN_CTX_get(ctx);
+ x1 = BN_CTX_get(ctx);
+ y1 = BN_CTX_get(ctx);
+ x2 = BN_CTX_get(ctx);
+ y2 = BN_CTX_get(ctx);
+ s = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
+ if (t == NULL) goto err;
+
+ if (a->Z_is_one)
+ {
+ if (!BN_copy(x0, &a->X)) goto err;
+ if (!BN_copy(y0, &a->Y)) goto err;
+ }
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) goto err;
+ }
+ if (b->Z_is_one)
+ {
+ if (!BN_copy(x1, &b->X)) goto err;
+ if (!BN_copy(y1, &b->Y)) goto err;
+ }
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) goto err;
+ }
+
+
+ if (BN_GF2m_cmp(x0, x1))
+ {
+ if (!BN_GF2m_add(t, x0, x1)) goto err;
+ if (!BN_GF2m_add(s, y0, y1)) goto err;
+ if (!group->meth->field_div(group, s, s, t, ctx)) goto err;
+ if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
+ if (!BN_GF2m_add(x2, x2, s)) goto err;
+ if (!BN_GF2m_add(x2, x2, t)) goto err;
+ }
+ else
+ {
+ if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1))
+ {
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+ ret = 1;
+ goto err;
+ }
+ if (!group->meth->field_div(group, s, y1, x1, ctx)) goto err;
+ if (!BN_GF2m_add(s, s, x1)) goto err;
+
+ if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, s)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
+ }
+
+ if (!BN_GF2m_add(y2, x1, x2)) goto err;
+ if (!group->meth->field_mul(group, y2, y2, s, ctx)) goto err;
+ if (!BN_GF2m_add(y2, y2, x2)) goto err;
+ if (!BN_GF2m_add(y2, y2, y1)) goto err;
+
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Computes 2 * a and stores the result in r. r could be a.
+ * Uses algorithm A.10.2 of IEEE P1363.
+ */
+int ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
+ {
+ return ec_GF2m_simple_add(group, r, a, a, ctx);
+ }
+
+
+int ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y))
+ /* point is its own inverse */
+ return 1;
+
+ if (!EC_POINT_make_affine(group, point, ctx)) return 0;
+ return BN_GF2m_add(&point->Y, &point->X, &point->Y);
+ }
+
+
+/* Indicates whether the given point is the point at infinity. */
+int ec_GF2m_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
+ {
+ return BN_is_zero(&point->Z);
+ }
+
+
+/* Determines whether the given EC_POINT is an actual point on the curve defined
+ * in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation:
+ * y^2 + x*y = x^3 + a*x^2 + b.
+ */
+int ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *rh, *lh, *tmp1;
+ int ret = -1;
+
+ if (EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ /* only support affine coordinates */
+ if (!point->Z_is_one) goto err;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ rh = BN_CTX_get(ctx);
+ lh = BN_CTX_get(ctx);
+ tmp1 = BN_CTX_get(ctx);
+ if (tmp1 == NULL) goto err;
+
+ /* We have a curve defined by a Weierstrass equation
+ * y^2 + x*y = x^3 + a*x^2 + b.
+ * To test this, we add up the right-hand side in 'rh'
+ * and the left-hand side in 'lh'.
+ */
+
+ /* rh := X^3 */
+ if (!group->meth->field_sqr(group, tmp1, &point->X, ctx)) goto err;
+ if (!group->meth->field_mul(group, rh, tmp1, &point->X, ctx)) goto err;
+
+ /* rh := rh + a*X^2 */
+ if (!group->meth->field_mul(group, tmp1, tmp1, &group->a, ctx)) goto err;
+ if (!BN_GF2m_add(rh, rh, tmp1)) goto err;
+
+ /* rh := rh + b */
+ if (!BN_GF2m_add(rh, rh, &group->b)) goto err;
+
+ /* lh := Y^2 */
+ if (!group->meth->field_sqr(group, lh, &point->Y, ctx)) goto err;
+
+ /* lh := lh + x*y */
+ if (!group->meth->field_mul(group, tmp1, &point->X, &point->Y, ctx)) goto err;
+ if (!BN_GF2m_add(lh, lh, tmp1)) goto err;
+
+ ret = (0 == BN_GF2m_cmp(lh, rh));
+
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Indicates whether two points are equal.
+ * Return values:
+ * -1 error
+ * 0 equal (in affine coordinates)
+ * 1 not equal
+ */
+int ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ BIGNUM *aX, *aY, *bX, *bY;
+ BN_CTX *new_ctx = NULL;
+ int ret = -1;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
+ }
+
+ if (a->Z_is_one && b->Z_is_one)
+ {
+ return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ aX = BN_CTX_get(ctx);
+ aY = BN_CTX_get(ctx);
+ bX = BN_CTX_get(ctx);
+ bY = BN_CTX_get(ctx);
+ if (bY == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx)) goto err;
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx)) goto err;
+ ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1;
+
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Forces the given EC_POINT to internally use affine coordinates. */
+int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y;
+ int ret = 0;
+
+ if (point->Z_is_one || EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ 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 (y == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+ if (!BN_copy(&point->X, x)) goto err;
+ if (!BN_copy(&point->Y, y)) goto err;
+ if (!BN_one(&point->Z)) goto err;
+
+ ret = 1;
+
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Forces each of the EC_POINTs in the given array to use affine coordinates. */
+int ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
+ {
+ size_t i;
+
+ for (i = 0; i < num; i++)
+ {
+ if (!group->meth->make_affine(group, points[i], ctx)) return 0;
+ }
+
+ return 1;
+ }
+
+
+/* Wrapper to simple binary polynomial field multiplication implementation. */
+int ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx);
+ }
+
+
+/* Wrapper to simple binary polynomial field squaring implementation. */
+int ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx);
+ }
+
+
+/* Wrapper to simple binary polynomial field division implementation. */
+int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_div(r, a, b, &group->field, ctx);
+ }
--- /dev/null
+/* crypto/ec/ec2_smpt.c */
+/* This code was originally written by Douglas Stebila
+ * <dstebila@student.math.uwaterloo.ca> for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2002 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).
+ *
+ */
+
+
+/* Calaculates 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.
+ *
+ * This algorithm is patented by Certicom Corp. under US Patent 6,141,420.
+ * This function is disabled by default and can be enabled by defining the
+ * preprocessor macro OPENSSL_EC_BIN_PT_COMP at Configure-time.
+ */
+int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x_, int y_bit, BN_CTX *ctx)
+ {
+#ifndef OPENSSL_EC_BIN_PT_COMP
+ ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_DISABLED);
+ return 0;
+#else
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp, *x, *y, *z;
+ int ret = 0, z0;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ 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;
+ if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) goto err;
+ 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_GF2m(group, point, x, y, ctx)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+#endif
+ }
* 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.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the Contribution as delivered hereunder
+ * (or portions thereof), provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the Contribution;
+ * 2) separates from the Contribution; or
+ * 3) for infringements caused by:
+ * i) the modification of the Contribution or
+ * ii) the combination of the Contribution with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#include "ec_lcl.h"
#include <openssl/err.h>
"79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1
/* some wap/wtls curves */
-#define _EC_GROUP_WTLS_6 \
- "DB7C2ABF62E35E668076BEAD208B",\
- "DB7C2ABF62E35E668076BEAD2088",\
- "659EF8BA043916EEDE8911702B22",\
- "09487239995A5EE76B55F9C2F098",0,\
- "DB7C2ABF62E35E7628DFAC6561C5",1
#define _EC_GROUP_WTLS_8 \
"FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\
"0",\
"3",\
"1",0,\
"0100000000000000000001CDC98AE0E2DE574ABF33",1
+#define _EC_GROUP_WTLS_12 \
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", \
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", \
+ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", \
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 0, \
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1
+
+/* #define _EC_GROUP_EXAMPLE_CHAR2_CURVE \
+ * "prime polynomial", "a", "b", "base point x-coord", "base point y-coord", "order", "cofactor"
+ */
+#define _EC_GROUP_SECG_CHAR2_113R1 \
+ "020000000000000000000000000201", \
+ "003088250CA6E7C7FE649CE85820F7", \
+ "00E8BEE4D3E2260744188BE0E9C723", \
+ "009D73616F35F4AB1407D73562C10F", \
+ "00A52830277958EE84D1315ED31886", \
+ "0100000000000000D9CCEC8A39E56F", 2
+#define _EC_GROUP_SECG_CHAR2_113R2 \
+ "020000000000000000000000000201", \
+ "00689918DBEC7E5A0DD6DFC0AA55C7", \
+ "0095E9A9EC9B297BD4BF36E059184F", \
+ "01A57A6A7B26CA5EF52FCDB8164797", \
+ "00B3ADC94ED1FE674C06E695BABA1D", \
+ "010000000000000108789B2496AF93", 2
+#define _EC_GROUP_SECG_CHAR2_131R1 \
+ "080000000000000000000000000000010D", \
+ "07A11B09A76B562144418FF3FF8C2570B8", \
+ "0217C05610884B63B9C6C7291678F9D341", \
+ "0081BAF91FDF9833C40F9C181343638399", \
+ "078C6E7EA38C001F73C8134B1B4EF9E150", \
+ "0400000000000000023123953A9464B54D", 2
+#define _EC_GROUP_SECG_CHAR2_131R2 \
+ "080000000000000000000000000000010D", \
+ "03E5A88919D7CAFCBF415F07C2176573B2", \
+ "04B8266A46C55657AC734CE38F018F2192", \
+ "0356DCD8F2F95031AD652D23951BB366A8", \
+ "0648F06D867940A5366D9E265DE9EB240F", \
+ "0400000000000000016954A233049BA98F", 2
+#define _EC_GROUP_SECG_CHAR2_163K1 \
+ "0800000000000000000000000000000000000000C9", \
+ "1", \
+ "1", \
+ "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", \
+ "0289070FB05D38FF58321F2E800536D538CCDAA3D9", \
+ "04000000000000000000020108A2E0CC0D99F8A5EF", 2
+#define _EC_GROUP_SECG_CHAR2_163R1 \
+ "0800000000000000000000000000000000000000C9", \
+ "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", \
+ "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", \
+ "0369979697AB43897789566789567F787A7876A654", \
+ "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", \
+ "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2
+#define _EC_GROUP_SECG_CHAR2_163R2 \
+ "0800000000000000000000000000000000000000C9", \
+ "1", \
+ "020A601907B8C953CA1481EB10512F78744A3205FD", \
+ "03F0EBA16286A2D57EA0991168D4994637E8343E36", \
+ "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", \
+ "040000000000000000000292FE77E70C12A4234C33", 2
+#define _EC_GROUP_SECG_CHAR2_193R1 \
+ "02000000000000000000000000000000000000000000008001", \
+ "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", \
+ "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", \
+ "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", \
+ "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", \
+ "01000000000000000000000000C7F34A778F443ACC920EBA49", 2
+#define _EC_GROUP_SECG_CHAR2_193R2 \
+ "02000000000000000000000000000000000000000000008001", \
+ "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", \
+ "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", \
+ "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", \
+ "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", \
+ "010000000000000000000000015AAB561B005413CCD4EE99D5", 2
+#define _EC_GROUP_SECG_CHAR2_233K1 \
+ "020000000000000000000000000000000000000004000000000000000001", \
+ "0", \
+ "1", \
+ "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", \
+ "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", \
+ "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4
+#define _EC_GROUP_SECG_CHAR2_233R1 \
+ "020000000000000000000000000000000000000004000000000000000001", \
+ "000000000000000000000000000000000000000000000000000000000001", \
+ "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", \
+ "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", \
+ "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", \
+ "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2
+#define _EC_GROUP_SECG_CHAR2_239K1 \
+ "800000000000000000004000000000000000000000000000000000000001", \
+ "0", \
+ "1", \
+ "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", \
+ "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", \
+ "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4
+#define _EC_GROUP_SECG_CHAR2_283K1 \
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1", \
+ "0", \
+ "1", \
+ "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", \
+ "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", \
+ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 4
+#define _EC_GROUP_SECG_CHAR2_283R1 \
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1", \
+ "000000000000000000000000000000000000000000000000000000000000000000000001", \
+ "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", \
+ "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", \
+ "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", \
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 2
+#define _EC_GROUP_SECG_CHAR2_409K1 \
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
+ "0", \
+ "1", \
+ "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", \
+ "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", \
+ "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4
+
+#define _EC_GROUP_SECG_CHAR2_409R1 \
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
+ "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
+ "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", \
+ "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", \
+ "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", \
+ "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 2
+#define _EC_GROUP_SECG_CHAR2_571K1 \
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
+ "0", \
+ "1", \
+ "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", \
+ "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", \
+ "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 4
+#define _EC_GROUP_SECG_CHAR2_571R1 \
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
+ "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
+ "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", \
+ "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", \
+ "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", \
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 2
+
+#define _EC_GROUP_X9_62_CHAR2_163V1 \
+ "0800000000000000000000000000000000000000C9", \
+ "072546B5435234A422E0789675F432C89435DE5242", \
+ "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", \
+ "07AF69989546103D79329FCC3D74880F33BBE803CB", \
+ "0190C402D65BCC2B845337BC52352774E879B94B0D", \
+ "0400000000000000000001E60FC8821CC74DAEAFC1", 2
+#define _EC_GROUP_X9_62_CHAR2_163V2 \
+ "0800000000000000000000000000000000000000C9", \
+ "0108B39E77C4B108BED981ED0E890E117C511CF072", \
+ "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", \
+ "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", \
+ "01F64F1C0280E19A062003DBAECEAEDEC1CE141D41", \
+ "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2
+#define _EC_GROUP_X9_62_CHAR2_163V3 \
+ "0800000000000000000000000000000000000000C9", \
+ "07A526C63D3E25A256A007699F5447E32AE456B50E", \
+ "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", \
+ "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", \
+ "01D42417D750A363F61E455807D047059CA039ACFE", \
+ "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2
+#define _EC_GROUP_X9_62_CHAR2_176V1 \
+ "0100000000000000000000000000000000080000000007", \
+ "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", \
+ "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", \
+ "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", \
+ "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", \
+ "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E
+#define _EC_GROUP_X9_62_CHAR2_191V1 \
+ "800000000000000000000000000000000000000000000201", \
+ "2866537B676752636A68F56554E12640276B649EF7526267", \
+ "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", \
+ "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", \
+ "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", \
+ "40000000000000000000000004A20E90C39067C893BBB9A5", 2
+#define _EC_GROUP_X9_62_CHAR2_191V2 \
+ "800000000000000000000000000000000000000000000201", \
+ "401028774D7777C7B7666D1366EA432071274F89FF01E718", \
+ "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", \
+ "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", \
+ "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", \
+ "20000000000000000000000050508CB89F652824E06B8173", 4
+#define _EC_GROUP_X9_62_CHAR2_191V3 \
+ "800000000000000000000000000000000000000000000201", \
+ "6C01074756099122221056911C77D77E77A777E7E7E77FCB", \
+ "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", \
+ "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", \
+ "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", \
+ "155555555555555555555555610C0B196812BFB6288A3EA3", 6
+#define _EC_GROUP_X9_62_CHAR2_208W1 \
+ "010000000000000000000000000000000800000000000000000007", \
+ "0000000000000000000000000000000000000000000000000000", \
+ "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", \
+ "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", \
+ "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", \
+ "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48
+#define _EC_GROUP_X9_62_CHAR2_239V1 \
+ "800000000000000000000000000000000000000000000000001000000001", \
+ "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", \
+ "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", \
+ "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", \
+ "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", \
+ "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4
+#define _EC_GROUP_X9_62_CHAR2_239V2 \
+ "800000000000000000000000000000000000000000000000001000000001", \
+ "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", \
+ "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", \
+ "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", \
+ "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", \
+ "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6
+#define _EC_GROUP_X9_62_CHAR2_239V3 \
+ "800000000000000000000000000000000000000000000000001000000001", \
+ "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", \
+ "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", \
+ "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", \
+ "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", \
+ "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA
+#define _EC_GROUP_X9_62_CHAR2_272W1 \
+ "010000000000000000000000000000000000000000000000000000010000000000000B", \
+ "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", \
+ "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", \
+ "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", \
+ "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", \
+ "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 0xFF06
+#define _EC_GROUP_X9_62_CHAR2_304W1 \
+ "010000000000000000000000000000000000000000000000000000000000000000000000000807", \
+ "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A0396C8E681", \
+ "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E55827340BE", \
+ "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F740A2614", \
+ "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1B92C03B", \
+ "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164443051D", 0xFE2E
+#define _EC_GROUP_X9_62_CHAR2_359V1 \
+ "800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001", \
+ "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05656FB549016A96656A557", \
+ "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626089687742B6329E70680231988", \
+ "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE98E8E707C07A2239B1B097", \
+ "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E4AE2DE211305A407104BD", \
+ "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB964FE7719E74F490758D3B", 0x4C
+#define _EC_GROUP_X9_62_CHAR2_368W1 \
+ "0100000000000000000000000000000000000000000000000000000000000000000000002000000000000000000007", \
+ "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62F0AB7519CCD2A1A906AE30D", \
+ "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112D84D164F444F8F74786046A", \
+ "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E789E927BE216F02E1FB136A5F", \
+ "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855ADAA81E2A0750B80FDA2310", \
+ "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E909AE40A6F131E9CFCE5BD967", 0xFF70
+#define _EC_GROUP_X9_62_CHAR2_431R1 \
+ "800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001", \
+ "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0EB9906D0957F6C6FEACD615468DF104DE296CD8F", \
+ "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B626D4E50A8DD731B107A9962381FB5D807BF2618", \
+ "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", \
+ "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", \
+ "0340340340340340340340340340340340340340340340340340340323C313FAB50589703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760
+
+#define _EC_GROUP_WTLS_1 \
+ "020000000000000000000000000201", \
+ "1", \
+ "1", \
+ "01667979A40BA497E5D5C270780617", \
+ "00F44B4AF1ECC2630E08785CEBCC15", \
+ "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2
static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in,
const char *a_in, const char *b_in,
return(group);
}
+static EC_GROUP *ec_group_new_GF2m_from_hex(const char *prime_in,
+ const char *a_in, const char *b_in,
+ const char *x_in, const char *y_in, const char *order_in, const BN_ULONG cofac_in)
+ {
+ EC_GROUP *group=NULL;
+ EC_POINT *P=NULL;
+ BN_CTX *ctx=NULL;
+ BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*y=NULL,*order=NULL;
+ int ok=0;
+
+ if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
+ if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
+ (x = BN_new()) == NULL || (y = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
+
+ if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
+ if (!BN_hex2bn(&a, a_in)) goto bn_err;
+ if (!BN_hex2bn(&b, b_in)) goto bn_err;
+
+ if ((group = EC_GROUP_new_curve_GF2m(prime, a, b, ctx)) == NULL) goto err;
+ if ((P = EC_POINT_new(group)) == NULL) goto err;
+
+ if (!BN_hex2bn(&x, x_in)) goto bn_err;
+ if (!BN_hex2bn(&y, y_in)) goto bn_err;
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) goto err;
+ if (!BN_hex2bn(&order, order_in)) goto bn_err;
+ if (!BN_set_word(x, cofac_in)) goto bn_err;
+ if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
+ ok=1;
+bn_err:
+ if (!ok)
+ ECerr(EC_F_EC_GROUP_NEW_GF2M_FROM_HEX, ERR_R_BN_LIB);
+err:
+ if (!ok)
+ {
+ EC_GROUP_free(group);
+ group = NULL;
+ }
+ if (P) EC_POINT_free(P);
+ if (ctx) BN_CTX_free(ctx);
+ if (prime) BN_free(prime);
+ if (a) BN_free(a);
+ if (b) BN_free(b);
+ if (order) BN_free(order);
+ if (x) BN_free(x);
+ if (y) BN_free(y);
+ return(group);
+ }
+
EC_GROUP *EC_GROUP_new_by_name(int name)
{
EC_GROUP *ret = NULL;
{
case EC_GROUP_NO_CURVE:
return NULL;
- /* some nist curves */
- case EC_GROUP_NIST_PRIME_224: /* EC_GROUP_NIST_PRIME_224 == EC_GROUP_SECG_PRIME_224R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
- break;
- case EC_GROUP_NIST_PRIME_384: /* EC_GROUP_NIST_PRIME_384 == EC_GROUP_SECG_PRIME_384R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
+ /* prime field curves */
+ /* prime field curves of degree 112 */
+ case EC_GROUP_SECG_PRIME_112R1:
+ case EC_GROUP_WTLS_6:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1);
break;
-
- case EC_GROUP_NIST_PRIME_521: /* EC_GROUP_NIST_PRIME_521 == EC_GROUP_SECG_PRIME_521R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
+
+ case EC_GROUP_SECG_PRIME_112R2:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2);
+ break;
+
+ case EC_GROUP_WTLS_8:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8);
+ break;
+
+ /* prime field curves of degree 128 */
+ case EC_GROUP_SECG_PRIME_128R1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1);
break;
- /* x9.62 prime curves */
+
+ case EC_GROUP_SECG_PRIME_128R2:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2);
+ break;
+
+ /* prime field curves of degree 160 */
+ case EC_GROUP_SECG_PRIME_160K1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1);
+ break;
+
+ case EC_GROUP_SECG_PRIME_160R1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1);
+ break;
+
+ case EC_GROUP_SECG_PRIME_160R2:
+ case EC_GROUP_WTLS_7:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
+ break;
+
+ case EC_GROUP_WTLS_9:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9);
+ break;
+
+ /* prime field curves of degree 192 */
+ case EC_GROUP_SECG_PRIME_192K1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
+ break;
+
case EC_GROUP_X9_62_PRIME_192V1: /* == EC_GROUP_NIST_PRIME_192 == EC_GROUP_SECG_PRIME_192R1 */
ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_192);
break;
-
+
case EC_GROUP_X9_62_PRIME_192V2:
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V2);
break;
-
+
case EC_GROUP_X9_62_PRIME_192V3:
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V3);
break;
-
+
+ /* prime field curves of degree 224 */
+ case EC_GROUP_SECG_PRIME_224K1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
+ break;
+
+ case EC_GROUP_SECG_PRIME_224R1: /* == EC_GROUP_NIST_PRIME_224 */
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
+ break;
+
+ case EC_GROUP_WTLS_12:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_12);
+ break;
+
+ /* prime field curves of degree 239 */
case EC_GROUP_X9_62_PRIME_239V1:
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V1);
break;
-
+
case EC_GROUP_X9_62_PRIME_239V2:
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V2);
break;
-
+
case EC_GROUP_X9_62_PRIME_239V3:
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V3);
break;
-
- case EC_GROUP_X9_62_PRIME_256V1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_SECG_PRIME_256R1 */
+
+ /* prime field curves of degree 256 */
+ case EC_GROUP_SECG_PRIME_256K1:
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
+ break;
+
+ case EC_GROUP_SECG_PRIME_256R1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_X9_62_PRIME_256V1 */
ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1);
break;
- /* the remaining secg curves */
- case EC_GROUP_SECG_PRIME_112R1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1);
+
+ /* prime field curves of degree 384 */
+ case EC_GROUP_SECG_PRIME_384R1: /* == EC_GROUP_NIST_PRIME_384 */
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
break;
- case EC_GROUP_SECG_PRIME_112R2:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2);
+
+ /* prime field curves of degree 521 */
+ case EC_GROUP_SECG_PRIME_521R1: /* == EC_GROUP_NIST_PRIME_521 */
+ ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
break;
- case EC_GROUP_SECG_PRIME_128R1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1);
+
+ /* characteristic two field curves */
+ /* binary curves of degree 113 */
+ case EC_GROUP_SECG_CHAR2_113R1:
+ case EC_GROUP_WTLS_4:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R1);
break;
- case EC_GROUP_SECG_PRIME_128R2:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2);
+
+ case EC_GROUP_SECG_CHAR2_113R2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R2);
break;
- case EC_GROUP_SECG_PRIME_160K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1);
+
+ case EC_GROUP_WTLS_1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_WTLS_1);
break;
- case EC_GROUP_SECG_PRIME_160R1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1);
+
+ /* binary curves of degree 131 */
+ case EC_GROUP_SECG_CHAR2_131R1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R1);
break;
- case EC_GROUP_SECG_PRIME_160R2:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
+
+ case EC_GROUP_SECG_CHAR2_131R2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R2);
break;
- case EC_GROUP_SECG_PRIME_192K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
+
+ /* binary curves of degree 163 */
+ case EC_GROUP_SECG_CHAR2_163K1: /* == EC_GROUP_NIST_CHAR2_K163 */
+ case EC_GROUP_WTLS_3:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163K1);
break;
- case EC_GROUP_SECG_PRIME_224K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
+
+ case EC_GROUP_SECG_CHAR2_163R1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R1);
break;
- case EC_GROUP_SECG_PRIME_256K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
+
+ case EC_GROUP_SECG_CHAR2_163R2: /* == EC_GROUP_NIST_CHAR2_B163 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R2);
break;
- /* some wap/wtls curves */
- case EC_GROUP_WTLS_6:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_6);
+
+ case EC_GROUP_X9_62_CHAR2_163V1:
+ case EC_GROUP_WTLS_5:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V1);
break;
- case EC_GROUP_WTLS_8:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8);
+
+ case EC_GROUP_X9_62_CHAR2_163V2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V2);
break;
- case EC_GROUP_WTLS_9:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9);
+
+ case EC_GROUP_X9_62_CHAR2_163V3:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V3);
+ break;
+
+ /* binary curves of degree 176 */
+ case EC_GROUP_X9_62_CHAR2_176V1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_176V1);
+ break;
+
+ /* binary curves of degree 191 */
+ case EC_GROUP_X9_62_CHAR2_191V1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V1);
+ break;
+
+ case EC_GROUP_X9_62_CHAR2_191V2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V2);
+ break;
+
+ case EC_GROUP_X9_62_CHAR2_191V3:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V3);
+ break;
+
+ /* binary curves of degree 193 */
+ case EC_GROUP_SECG_CHAR2_193R1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R1);
+ break;
+
+ case EC_GROUP_SECG_CHAR2_193R2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R2);
+ break;
+
+ /* binary curves of degree 208 */
+ case EC_GROUP_X9_62_CHAR2_208W1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_208W1);
+ break;
+
+ /* binary curves of degree 233 */
+ case EC_GROUP_SECG_CHAR2_233K1: /* == EC_GROUP_NIST_CHAR2_K233 */
+ case EC_GROUP_WTLS_10:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233K1);
+ break;
+
+ case EC_GROUP_SECG_CHAR2_233R1: /* == EC_GROUP_NIST_CHAR2_B233 */
+ case EC_GROUP_WTLS_11:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233R1);
+ break;
+
+ /* binary curves of degree 239 */
+ case EC_GROUP_SECG_CHAR2_239K1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_239K1);
+ break;
+
+ case EC_GROUP_X9_62_CHAR2_239V1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V1);
+ break;
+
+ case EC_GROUP_X9_62_CHAR2_239V2:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V2);
+ break;
+
+ case EC_GROUP_X9_62_CHAR2_239V3:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V3);
+ break;
+
+ /* binary curves of degree 272 */
+ case EC_GROUP_X9_62_CHAR2_272W1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_272W1);
+ break;
+
+ /* binary curves of degree 283 */
+ case EC_GROUP_SECG_CHAR2_283K1: /* == EC_GROUP_NIST_CHAR2_K283 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283K1);
+ break;
+
+ case EC_GROUP_SECG_CHAR2_283R1: /* == EC_GROUP_NIST_CHAR2_B283 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283R1);
+ break;
+
+ /* binary curves of degree 304 */
+ case EC_GROUP_X9_62_CHAR2_304W1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_304W1);
+ break;
+
+ /* binary curves of degree 359 */
+ case EC_GROUP_X9_62_CHAR2_359V1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_359V1);
+ break;
+
+ /* binary curves of degree 368 */
+ case EC_GROUP_X9_62_CHAR2_368W1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_368W1);
+ break;
+
+ /* binary curves of degree 409 */
+ case EC_GROUP_SECG_CHAR2_409K1: /* == EC_GROUP_NIST_CHAR2_K409 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409K1);
+ break;
+
+ case EC_GROUP_SECG_CHAR2_409R1: /* == EC_GROUP_NIST_CHAR2_B409 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409R1);
+ break;
+
+ /* binary curves of degree 431 */
+ case EC_GROUP_X9_62_CHAR2_431R1:
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_431R1);
+ break;
+
+ /* binary curves of degree 571 */
+ case EC_GROUP_SECG_CHAR2_571K1: /* == EC_GROUP_NIST_CHAR2_K571 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571K1);
+ break;
+
+ case EC_GROUP_SECG_CHAR2_571R1: /* == EC_GROUP_NIST_CHAR2_B571 */
+ ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571R1);
break;
}
* 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.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the Contribution as delivered hereunder
+ * (or portions thereof), provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the Contribution;
+ * 2) separates from the Contribution; or
+ * 3) for infringements caused by:
+ * i) the modification of the Contribution or
+ * ii) the combination of the Contribution with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#include "ec_lcl.h"
return ret;
}
+
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ const EC_METHOD *meth;
+ EC_GROUP *ret;
+
+ meth = EC_GF2m_simple_method();
+
+ ret = EC_GROUP_new(meth);
+ if (ret == NULL)
+ return NULL;
+
+ if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx))
+ {
+ EC_GROUP_clear_free(ret);
+ return NULL;
+ }
+
+ return ret;
+ }
{ERR_PACK(0,EC_F_EC_ASN1_GROUP2PKPARAMETERS,0), "EC_ASN1_group2pkparameters"},
{ERR_PACK(0,EC_F_EC_ASN1_PARAMETERS2GROUP,0), "EC_ASN1_PARAMETERS2GROUP"},
{ERR_PACK(0,EC_F_EC_ASN1_PKPARAMETERS2GROUP,0), "EC_ASN1_pkparameters2group"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT,0), "ec_GF2m_simple_group_check_discriminant"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_OCT2POINT,0), "ec_GF2m_simple_oct2point"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT2OCT,0), "ec_GF2m_simple_point2oct"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_get_affine_coordinates_GF2m"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_set_affine_coordinates_GF2m"},
+{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M,0), "ec_GF2m_simple_set_compressed_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_DECODE,0), "ec_GFp_mont_field_decode"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_ENCODE,0), "ec_GFp_mont_field_encode"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_MUL,0), "ec_GFp_mont_field_mul"},
{ERR_PACK(0,EC_F_EC_GROUP_COPY,0), "EC_GROUP_copy"},
{ERR_PACK(0,EC_F_EC_GROUP_GET0_GENERATOR,0), "EC_GROUP_get0_generator"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_COFACTOR,0), "EC_GROUP_get_cofactor"},
+{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GF2M,0), "EC_GROUP_get_curve_GF2m"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GFP,0), "EC_GROUP_get_curve_GFp"},
+{ERR_PACK(0,EC_F_EC_GROUP_GET_DEGREE,0), "EC_GROUP_get_degree"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_EXTRA_DATA,0), "EC_GROUP_get_extra_data"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_ORDER,0), "EC_GROUP_get_order"},
{ERR_PACK(0,EC_F_EC_GROUP_GROUP2NID,0), "EC_GROUP_GROUP2NID"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW,0), "EC_GROUP_new"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NAME,0), "EC_GROUP_new_by_name"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NID,0), "EC_GROUP_new_by_nid"},
+{ERR_PACK(0,EC_F_EC_GROUP_NEW_GF2M_FROM_HEX,0), "EC_GROUP_NEW_GF2M_FROM_HEX"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_GFP_FROM_HEX,0), "EC_GROUP_NEW_GFP_FROM_HEX"},
{ERR_PACK(0,EC_F_EC_GROUP_PRECOMPUTE_MULT,0), "EC_GROUP_precompute_mult"},
+{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GF2M,0), "EC_GROUP_set_curve_GF2m"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GFP,0), "EC_GROUP_set_curve_GFp"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_EXTRA_DATA,0), "EC_GROUP_set_extra_data"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_GENERATOR,0), "EC_GROUP_set_generator"},
{ERR_PACK(0,EC_F_EC_POINT_CMP,0), "EC_POINT_cmp"},
{ERR_PACK(0,EC_F_EC_POINT_COPY,0), "EC_POINT_copy"},
{ERR_PACK(0,EC_F_EC_POINT_DBL,0), "EC_POINT_dbl"},
+{ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_get_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,0), "EC_POINT_get_affine_coordinates_GFp"},
+{ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_get_Jprojective_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_get_Jprojective_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_IS_AT_INFINITY,0), "EC_POINT_is_at_infinity"},
{ERR_PACK(0,EC_F_EC_POINT_IS_ON_CURVE,0), "EC_POINT_is_on_curve"},
{ERR_PACK(0,EC_F_EC_POINT_MAKE_AFFINE,0), "EC_POINT_make_affine"},
+{ERR_PACK(0,EC_F_EC_POINT_MUL,0), "EC_POINT_mul"},
{ERR_PACK(0,EC_F_EC_POINT_NEW,0), "EC_POINT_new"},
{ERR_PACK(0,EC_F_EC_POINT_OCT2POINT,0), "EC_POINT_oct2point"},
{ERR_PACK(0,EC_F_EC_POINT_POINT2OCT,0), "EC_POINT_point2oct"},
+{ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_set_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,0), "EC_POINT_set_affine_coordinates_GFp"},
+{ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M,0), "EC_POINT_set_compressed_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,0), "EC_POINT_set_compressed_coordinates_GFp"},
+{ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_set_Jprojective_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_set_Jprojective_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_SET_TO_INFINITY,0), "EC_POINT_set_to_infinity"},
+{ERR_PACK(0,EC_F_EC_WNAF_MUL,0), "ec_wNAF_mul"},
+{ERR_PACK(0,EC_F_EC_WNAF_PRECOMPUTE_MULT,0), "ec_wNAF_precompute_mult"},
{ERR_PACK(0,EC_F_GFP_MONT_GROUP_SET_CURVE_GFP,0), "GFP_MONT_GROUP_SET_CURVE_GFP"},
{ERR_PACK(0,EC_F_I2D_ECDSAPARAMETERS,0), "i2d_ECDSAParameters"},
{ERR_PACK(0,EC_F_I2D_ECPARAMETERS,0), "i2d_ECParameters"},
* 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.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the Contribution as delivered hereunder
+ * (or portions thereof), provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the Contribution;
+ * 2) separates from the Contribution; or
+ * 3) for infringements caused by:
+ * i) the modification of the Contribution or
+ * ii) the combination of the Contribution with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#include <stdlib.h>
void (*group_clear_finish)(EC_GROUP *);
int (*group_copy)(EC_GROUP *, const EC_GROUP *);
- /* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */
- int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
- int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+ /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
+ /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
+ int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+ int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+
+ /* used by EC_GROUP_get_degree: */
+ int (*group_get_degree)(const EC_GROUP *);
/* used by EC_GROUP_check: */
int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
/* used by EC_POINT_set_to_infinity,
* EC_POINT_set_Jprojective_coordinates_GFp, EC_POINT_get_Jprojective_coordinates_GFp,
* EC_POINT_set_affine_coordinates_GFp, EC_POINT_get_affine_coordinates_GFp,
- * EC_POINT_set_compressed_coordinates_GFp:
+ * EC_POINT_set_compressed_coordinates_GFp, EC_POINT_set_Jprojective_coordinates_GF2m,
+ * EC_POINT_get_Jprojective_coordinates_GF2m, EC_POINT_set_affine_coordinates_GF2m,
+ * EC_POINT_get_affine_coordinates_GF2m, and EC_POINT_set_compressed_coordinates_GF2m:
*/
int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
- int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
+ int (*point_set_Jprojective_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
- int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
+ int (*point_get_Jprojective_coordinates)(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
- int (*point_set_affine_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
+ int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, BN_CTX *);
- int (*point_get_affine_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
+ int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
- int (*point_set_compressed_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
+ int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
/* used by EC_POINT_point2oct, EC_POINT_oct2point: */
int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
+ /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult: */
+ int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+ int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
+
/* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
/* internal functions */
- /* 'field_mul' and 'field_sqr' can be used by 'add' and 'dbl' so that
+ /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that
* the same implementations of point operations can be used with different
* optimized implementations of expensive field operations: */
int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+ int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
* irreducible polynomial defining the field.
*/
+ unsigned int poly[5]; /* Field specification for curves over GF(2^m).
+ * The irreducible f(t) is then of the form:
+ * t^poly[0] + t^poly[1] + ... + t^poly[k]
+ * where m = poly[0] > poly[1] > ... > poly[k] = 0.
+ */
+
BIGNUM a, b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used
* or abused for all kinds of fields, not just GF(p).)
+/* method functions in ec_mult.c */
+int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
+
/* method functions in ecp_smpl.c */
int ec_GFp_simple_group_init(EC_GROUP *);
void ec_GFp_simple_group_finish(EC_GROUP *);
int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_group_get_degree(const EC_GROUP *);
int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ec_GFp_simple_point_init(EC_POINT *);
void ec_GFp_simple_point_finish(EC_POINT *);
int ec_GFp_nist_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+
+
+/* method functions in ec2_smpl.c */
+int ec_GF2m_simple_group_init(EC_GROUP *);
+void ec_GF2m_simple_group_finish(EC_GROUP *);
+void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
+int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GF2m_simple_group_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_group_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
+int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
+int ec_GF2m_simple_point_init(EC_POINT *);
+void ec_GF2m_simple_point_finish(EC_POINT *);
+void ec_GF2m_simple_point_clear_finish(EC_POINT *);
+int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
+int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
+int ec_GF2m_simple_point_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+int ec_GF2m_simple_point_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *);
+int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
+ const unsigned char *buf, size_t len, BN_CTX *);
+int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
+int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+
+
+/* method functions in ec2_mult.c */
+int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
* 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>
}
+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;
+ }
+
+
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
{
return group->meth;
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_GFp == 0)
+ 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_GFp(group, p, a, b, ctx);
+ return group->meth->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)
{
- if (group->meth->group_get_curve_GFp == 0)
+ 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_GFp(group, p, a, b, ctx);
+ return group->meth->group_get_curve(group, p, a, b, ctx);
+ }
+
+
+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);
+ }
+
+
+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);
+ }
+
+
+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);
}
}
+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_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)
+ if (group->meth->point_set_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
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);
+ return group->meth->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)
{
- if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
+ if (group->meth->point_get_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
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);
+ return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx);
}
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_GFp == 0)
+ 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;
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
- return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
+ return group->meth->point_set_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)
{
- if (group->meth->point_get_affine_coordinates_GFp == 0)
+ 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;
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
- return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
+ return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}
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_GFp == 0)
+ 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;
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
- return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
+ return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
+ }
+
+
+int EC_POINT_set_Jprojective_coordinates_GF2m(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 == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, 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_GF2m(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
+ {
+ if (group->meth->point_get_Jprojective_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx);
+ }
+
+
+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);
+ }
+
+
+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);
+ }
+
+
+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);
}
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include <openssl/err.h>
* scalar*generator
* in the addition if scalar != NULL
*/
-int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
generator = EC_GROUP_get0_generator(group);
if (generator == NULL)
{
- ECerr(EC_F_EC_POINTS_MUL, EC_R_UNDEFINED_GENERATOR);
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR);
return 0;
}
}
{
if (group->meth != points[i]->meth)
{
- ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
}
}
if (!(v == val + num_val))
{
- ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR);
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
goto err;
}
}
+/* Generic multiplication method.
+ * If group->meth does not provide a multiplication method, default to ec_wNAF_mul;
+ * otherwise use the group->meth's 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)
+ {
+ if (group->meth->mul == 0)
+ return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
+ else
+ return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
+ }
+
+
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)
{
const EC_POINT *points[1];
}
-int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
const EC_POINT *generator;
BN_CTX *new_ctx = NULL;
generator = EC_GROUP_get0_generator(group);
if (generator == NULL)
{
- ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
return 0;
}
if (!EC_GROUP_get_order(group, order, ctx)) return 0;
if (BN_is_zero(order))
{
- ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
goto err;
}
BN_CTX_free(new_ctx);
return ret;
}
+
+
+/* Generic multiplicaiton precomputation method.
+ * If group->meth does not provide a multiplication method, default to ec_wNAF_mul and do its
+ * precomputation; otherwise use the group->meth's precomputation if it exists.
+ */
+int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+ {
+ if (group->meth->mul == 0)
+ return ec_wNAF_precompute_mult(group, ctx);
+ else if (group->meth->precompute_mult != 0)
+ return group->meth->precompute_mult(group, ctx);
+ else
+ return 1;
+ }
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include <openssl/err.h>
ec_GFp_mont_group_copy,
ec_GFp_mont_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
+ ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_points_make_affine,
ec_GFp_mont_field_mul,
ec_GFp_mont_field_sqr,
+ 0 /* field_div */,
ec_GFp_mont_field_encode,
ec_GFp_mont_field_decode,
ec_GFp_mont_field_set_to_one };
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include "ec_lcl.h"
ec_GFp_nist_group_copy,
ec_GFp_nist_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
+ ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_set_generator,
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_points_make_affine,
ec_GFp_nist_field_mul,
ec_GFp_nist_field_sqr,
+ 0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include "ec_lcl.h"
ec_GFp_recp_group_copy,
ec_GFp_recp_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
+ ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_set_generator,
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_points_make_affine,
ec_GFp_recp_field_mul,
ec_GFp_recp_field_sqr,
+ 0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include <openssl/err.h>
#include <openssl/symhacks.h>
ec_GFp_simple_group_copy,
ec_GFp_simple_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
+ ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_points_make_affine,
ec_GFp_simple_field_mul,
ec_GFp_simple_field_sqr,
+ 0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
}
+int ec_GFp_simple_group_get_degree(const EC_GROUP *group)
+ {
+ return BN_num_bits(&group->field);
+ }
+
+
int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
* 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.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the Contribution as delivered hereunder
+ * (or portions thereof), provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the Contribution;
+ * 2) separates from the Contribution; or
+ * 3) for infringements caused by:
+ * i) the modification of the Contribution or
+ * ii) the combination of the Contribution with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#include <stdio.h>
#include <stdlib.h>
#include <openssl/ec.h>
#include <openssl/engine.h>
#include <openssl/err.h>
+#include <openssl/obj_mac.h>
#define ABORT do { \
fflush(stdout); \
{
clock_t clck;
int i, j;
- BIGNUM *s, *s0;
+ BIGNUM *s;
+ BIGNUM *r[10], *r0[10];
EC_POINT *P;
s = BN_new();
- s0 = BN_new();
- if (s == NULL || s0 == NULL) ABORT;
+ if (s == NULL) ABORT;
- if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT;
- fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s));
+ fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
- fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s));
+ fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
fflush(stdout);
P = EC_POINT_new(group);
if (P == NULL) ABORT;
EC_POINT_copy(P, EC_GROUP_get0_generator(group));
- clck = clock();
for (i = 0; i < 10; i++)
{
- if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT;
+ if ((r[i] = BN_new()) == NULL) ABORT;
+ if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
if (multi)
{
- if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT;
+ if ((r0[i] = BN_new()) == NULL) ABORT;
+ if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
}
+ }
+
+ clck = clock();
+ for (i = 0; i < 10; i++)
+ {
for (j = 0; j < 10; j++)
{
- if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT;
+ if (!EC_POINT_mul(group, P, r[i], multi ? P : NULL, multi ? r0[i] : NULL, ctx)) ABORT;
}
- fprintf(stdout, ".");
- fflush(stdout);
}
fprintf(stdout, "\n");
EC_POINT_free(P);
BN_free(s);
- BN_free(s0);
+ for (i = 0; i < 10; i++)
+ {
+ BN_free(r[i]);
+ if (multi) BN_free(r0[i]);
+ }
}
#endif
-int main(int argc, char *argv[])
+void prime_field_tests()
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
size_t i, len;
int k;
- /* enable memory leak checking unless explicitly disabled */
- if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
- {
- CRYPTO_malloc_debug_init();
- CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
- }
- else
- {
- /* OPENSSL_DEBUG_MEMORY=off */
- CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
- }
- CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
- ERR_load_crypto_strings();
-
#if 1 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 192) ABORT;
+ fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 224) ABORT;
+ fprintf(stdout, " ok\n");
+
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 256) ABORT;
+ fprintf(stdout, " ok\n");
+
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 384) ABORT;
+ fprintf(stdout, " ok\n");
+
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
"7086A272C24088BE94769FD16650")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 521) ABORT;
+ fprintf(stdout, " ok\n");
+
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (P_384) EC_GROUP_free(P_384);
if (P_521) EC_GROUP_free(P_521);
+ }
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&x, _x)) ABORT; \
+ if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
+ if (!BN_hex2bn(&z, _order)) ABORT; \
+ if (!BN_hex2bn(&cof, _cof)) ABORT; \
+ if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
+ fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
+ BN_print_fp(stdout, x); \
+ fprintf(stdout, "\n y = 0x"); \
+ BN_print_fp(stdout, y); \
+ fprintf(stdout, "\n"); \
+ /* G_y value taken from the standard: */ \
+ if (!BN_hex2bn(&z, _y)) ABORT; \
+ if (0 != BN_cmp(y, z)) ABORT;
+#else
+#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&x, _x)) ABORT; \
+ if (!BN_hex2bn(&y, _y)) ABORT; \
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
+ if (!BN_hex2bn(&z, _order)) ABORT; \
+ if (!BN_hex2bn(&cof, _cof)) ABORT; \
+ if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
+ fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
+ BN_print_fp(stdout, x); \
+ fprintf(stdout, "\n y = 0x"); \
+ BN_print_fp(stdout, y); \
+ fprintf(stdout, "\n");
+#endif
+
+#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&p, _p)) ABORT; \
+ if (!BN_hex2bn(&a, _a)) ABORT; \
+ if (!BN_hex2bn(&b, _b)) ABORT; \
+ if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
+ CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ fprintf(stdout, "verify degree ..."); \
+ if (EC_GROUP_get_degree(group) != _degree) ABORT; \
+ fprintf(stdout, " ok\n"); \
+ fprintf(stdout, "verify group order ..."); \
+ fflush(stdout); \
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
+ fprintf(stdout, "."); \
+ fflush(stdout); \
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
+ fprintf(stdout, " ok\n"); \
+ if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
+ if (!EC_GROUP_copy(_variable, group)) ABORT;
+
+void char2_field_tests()
+ {
+ BN_CTX *ctx = NULL;
+ BIGNUM *p, *a, *b;
+ EC_GROUP *group;
+ EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
+ EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
+ EC_POINT *P, *Q, *R;
+ BIGNUM *x, *y, *z, *cof;
+ unsigned char buf[100];
+ size_t i, len;
+ int k;
+
+#if 1 /* optional */
+ ctx = BN_CTX_new();
+ if (!ctx) ABORT;
+#endif
+
+ p = BN_new();
+ a = BN_new();
+ b = BN_new();
+ if (!p || !a || !b) ABORT;
+
+ if (!BN_hex2bn(&p, "13")) ABORT;
+ if (!BN_hex2bn(&a, "3")) ABORT;
+ if (!BN_hex2bn(&b, "1")) ABORT;
+
+ group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GFp
+ * so that the library gets to choose the EC_METHOD */
+ if (!group) ABORT;
+ if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
+
+ {
+ EC_GROUP *tmp;
+ tmp = EC_GROUP_new(EC_GROUP_method_of(group));
+ if (!tmp) ABORT;
+ if (!EC_GROUP_copy(tmp, group));
+ EC_GROUP_free(group);
+ group = tmp;
+ }
+
+ if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
+
+ fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
+ BN_print_fp(stdout, p);
+ fprintf(stdout, ")\n a = 0x");
+ BN_print_fp(stdout, a);
+ fprintf(stdout, "\n b = 0x");
+ BN_print_fp(stdout, b);
+ fprintf(stdout, "\n");
+
+ P = EC_POINT_new(group);
+ Q = EC_POINT_new(group);
+ R = EC_POINT_new(group);
+ if (!P || !Q || !R) ABORT;
+
+ if (!EC_POINT_set_to_infinity(group, P)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ buf[0] = 0;
+ if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
+
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ x = BN_new();
+ y = BN_new();
+ z = BN_new();
+ cof = BN_new();
+ if (!x || !y || !z || !cof) ABORT;
+
+ if (!BN_hex2bn(&x, "6")) ABORT;
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
+#else
+ if (!BN_hex2bn(&y, "8")) ABORT;
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
+#endif
+ if (!EC_POINT_is_on_curve(group, Q, ctx))
+ {
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
+#endif
+ fprintf(stderr, "Point is not on curve: x = 0x");
+ BN_print_fp(stderr, x);
+ fprintf(stderr, ", y = 0x");
+ BN_print_fp(stderr, y);
+ fprintf(stderr, "\n");
+ ABORT;
+ }
+
+ fprintf(stdout, "A cyclic subgroup:\n");
+ k = 100;
+ do
+ {
+ if (k-- == 0) ABORT;
+
+ if (EC_POINT_is_at_infinity(group, P))
+ fprintf(stdout, " point at infinity\n");
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
+
+ fprintf(stdout, " x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, ", y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ }
+
+ if (!EC_POINT_copy(R, P)) ABORT;
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+ }
+ while (!EC_POINT_is_at_infinity(group, P));
+
+ if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "Generator as octet string, compressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+#endif
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+#endif
+
+ fprintf(stdout, "\n");
+
+ if (!EC_POINT_invert(group, P, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+
+
+ /* Curve K-163 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "1",
+ "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
+ "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
+ 1,
+ "04000000000000000000020108A2E0CC0D99F8A5EF",
+ "2",
+ 163,
+ C2_K163
+ );
+
+ /* Curve B-163 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "020A601907B8C953CA1481EB10512F78744A3205FD",
+ "03F0EBA16286A2D57EA0991168D4994637E8343E36",
+ "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
+ 1,
+ "040000000000000000000292FE77E70C12A4234C33",
+ "2",
+ 163,
+ C2_B163
+ );
+
+ /* Curve K-233 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "0",
+ "1",
+ "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
+ "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
+ 0,
+ "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
+ "4",
+ 233,
+ C2_K233
+ );
+
+ /* Curve B-233 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "000000000000000000000000000000000000000000000000000000000001",
+ "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
+ "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
+ "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
+ 1,
+ "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
+ "2",
+ 233,
+ C2_B233
+ );
+
+ /* Curve K-283 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-283",
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1",
+ "0",
+ "1",
+ "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
+ "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
+ 0,
+ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
+ "4",
+ 283,
+ C2_K283
+ );
+
+ /* Curve B-283 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-283",
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1",
+ "000000000000000000000000000000000000000000000000000000000000000000000001",
+ "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
+ "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
+ "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
+ 1,
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
+ "2",
+ 283,
+ C2_B283
+ );
+
+ /* Curve K-409 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-409",
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
+ "0",
+ "1",
+ "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
+ "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
+ 1,
+ "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
+ "4",
+ 409,
+ C2_K409
+ );
+
+ /* Curve B-409 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-409",
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
+ "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+ "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
+ "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
+ "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
+ 1,
+ "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
+ "2",
+ 409,
+ C2_B409
+ );
+
+ /* Curve K-571 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-571",
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
+ "0",
+ "1",
+ "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
+ "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
+ 0,
+ "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
+ "4",
+ 571,
+ C2_K571
+ );
+
+ /* Curve B-571 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-571",
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
+ "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+ "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
+ "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
+ "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
+ 1,
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
+ "2",
+ 571,
+ C2_B571
+ );
+
+ /* more tests using the last curve */
+
+ if (!EC_POINT_copy(Q, P)) ABORT;
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
+
+ if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
+ if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
+
+ {
+ const EC_POINT *points[3];
+ const BIGNUM *scalars[3];
+
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ points[0] = Q;
+ points[1] = Q;
+ points[2] = Q;
+
+ if (!BN_add(y, z, BN_value_one())) ABORT;
+ if (BN_is_odd(y)) ABORT;
+ if (!BN_rshift1(y, y)) ABORT;
+ scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
+ scalars[1] = y;
+
+ fprintf(stdout, "combined multiplication ...");
+ fflush(stdout);
+
+ /* z is still the group order */
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
+ if (!BN_add(z, z, y)) ABORT;
+ z->neg = 1;
+ scalars[0] = y;
+ scalars[1] = z; /* z = -(order + y) */
+
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
+ if (!BN_add(z, x, y)) ABORT;
+ z->neg = 1;
+ scalars[0] = x;
+ scalars[1] = y;
+ scalars[2] = z; /* z = -(x+y) */
+
+ if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, " ok\n\n");
+ }
+
+
+#if 0
+ timings(C2_K163, 0, ctx);
+ timings(C2_K163, 1, ctx);
+ timings(C2_B163, 0, ctx);
+ timings(C2_B163, 1, ctx);
+ timings(C2_K233, 0, ctx);
+ timings(C2_K233, 1, ctx);
+ timings(C2_B233, 0, ctx);
+ timings(C2_B233, 1, ctx);
+ timings(C2_K283, 0, ctx);
+ timings(C2_K283, 1, ctx);
+ timings(C2_B283, 0, ctx);
+ timings(C2_B283, 1, ctx);
+ timings(C2_K409, 0, ctx);
+ timings(C2_K409, 1, ctx);
+ timings(C2_B409, 0, ctx);
+ timings(C2_B409, 1, ctx);
+ timings(C2_K571, 0, ctx);
+ timings(C2_K571, 1, ctx);
+ timings(C2_B571, 0, ctx);
+ timings(C2_B571, 1, ctx);
+#endif
+
+
+ if (ctx)
+ BN_CTX_free(ctx);
+ BN_free(p); BN_free(a); BN_free(b);
+ EC_GROUP_free(group);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
+
+ if (C2_K163) EC_GROUP_free(C2_K163);
+ if (C2_B163) EC_GROUP_free(C2_B163);
+ if (C2_K233) EC_GROUP_free(C2_K233);
+ if (C2_B233) EC_GROUP_free(C2_B233);
+ if (C2_K283) EC_GROUP_free(C2_K283);
+ if (C2_B283) EC_GROUP_free(C2_B283);
+ if (C2_K409) EC_GROUP_free(C2_K409);
+ if (C2_B409) EC_GROUP_free(C2_B409);
+ if (C2_K571) EC_GROUP_free(C2_K571);
+ if (C2_B571) EC_GROUP_free(C2_B571);
+
+ }
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+int main(int argc, char *argv[])
+ {
+
+ /* enable memory leak checking unless explicitly disabled */
+ if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
+ {
+ CRYPTO_malloc_debug_init();
+ CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
+ }
+ else
+ {
+ /* OPENSSL_DEBUG_MEMORY=off */
+ CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
+ }
+ CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
+ ERR_load_crypto_strings();
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
+
+ prime_field_tests();
+ char2_field_tests();
+
ENGINE_cleanup();
CRYPTO_cleanup_all_ex_data();
ERR_free_strings();
projects / oweals / openssl.git / commitdiff