--- /dev/null
+/* Originally written by Bodo Moeller for the OpenSSL project.
+ * ====================================================================
+ * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
+ * Laboratories. */
+
+#include <openssl/ec.h>
+
+#include <assert.h>
+#include <string.h>
+
+#include <openssl/bn.h>
+#include <openssl/err.h>
+#include <openssl/mem.h>
+#include <openssl/nid.h>
+
+#include "internal.h"
+#include "../../internal.h"
+#include "../bn/internal.h"
+#include "../delocate.h"
+
+
+static void ec_point_free(EC_POINT *point, int free_group);
+
+static const uint8_t kP224Params[6 * 28] = {
+ // p
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x01,
+ // a
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE,
+ // b
+ 0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56,
+ 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43,
+ 0x23, 0x55, 0xFF, 0xB4,
+ // x
+ 0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9,
+ 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6,
+ 0x11, 0x5C, 0x1D, 0x21,
+ // y
+ 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6,
+ 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99,
+ 0x85, 0x00, 0x7e, 0x34,
+ // order
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45,
+ 0x5C, 0x5C, 0x2A, 0x3D,
+};
+
+static const uint8_t kP256Params[6 * 32] = {
+ // p
+ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ // a
+ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
+ // b
+ 0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55,
+ 0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6,
+ 0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B,
+ // x
+ 0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5,
+ 0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0,
+ 0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96,
+ // y
+ 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a,
+ 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
+ 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5,
+ // order
+ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84,
+ 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51,
+};
+
+static const uint8_t kP384Params[6 * 48] = {
+ // p
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
+ // a
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC,
+ // b
+ 0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B,
+ 0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12,
+ 0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D,
+ 0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF,
+ // x
+ 0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E,
+ 0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98,
+ 0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D,
+ 0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7,
+ // y
+ 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf,
+ 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
+ 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce,
+ 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f,
+ // order
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2,
+ 0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73,
+};
+
+static const uint8_t kP521Params[6 * 66] = {
+ // p
+ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ // a
+ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
+ // b
+ 0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A,
+ 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3,
+ 0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19,
+ 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1,
+ 0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45,
+ 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00,
+ // x
+ 0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E,
+ 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F,
+ 0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B,
+ 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF,
+ 0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E,
+ 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66,
+ // y
+ 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a,
+ 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b,
+ 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee,
+ 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad,
+ 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe,
+ 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
+ // order
+ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86,
+ 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09,
+ 0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F,
+ 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09,
+};
+
+DEFINE_METHOD_FUNCTION(struct built_in_curves, OPENSSL_built_in_curves) {
+ // 1.3.132.0.35
+ static const uint8_t kOIDP521[] = {0x2b, 0x81, 0x04, 0x00, 0x23};
+ out->curves[0].nid = NID_secp521r1;
+ out->curves[0].oid = kOIDP521;
+ out->curves[0].oid_len = sizeof(kOIDP521);
+ out->curves[0].comment = "NIST P-521";
+ out->curves[0].param_len = 66;
+ out->curves[0].params = kP521Params;
+ out->curves[0].method = EC_GFp_mont_method();
+
+ // 1.3.132.0.34
+ static const uint8_t kOIDP384[] = {0x2b, 0x81, 0x04, 0x00, 0x22};
+ out->curves[1].nid = NID_secp384r1;
+ out->curves[1].oid = kOIDP384;
+ out->curves[1].oid_len = sizeof(kOIDP384);
+ out->curves[1].comment = "NIST P-384";
+ out->curves[1].param_len = 48;
+ out->curves[1].params = kP384Params;
+ out->curves[1].method = EC_GFp_mont_method();
+
+ // 1.2.840.10045.3.1.7
+ static const uint8_t kOIDP256[] = {0x2a, 0x86, 0x48, 0xce,
+ 0x3d, 0x03, 0x01, 0x07};
+ out->curves[2].nid = NID_X9_62_prime256v1;
+ out->curves[2].oid = kOIDP256;
+ out->curves[2].oid_len = sizeof(kOIDP256);
+ out->curves[2].comment = "NIST P-256";
+ out->curves[2].param_len = 32;
+ out->curves[2].params = kP256Params;
+ out->curves[2].method =
+#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) && \
+ !defined(OPENSSL_SMALL)
+ EC_GFp_nistz256_method();
+#else
+ EC_GFp_nistp256_method();
+#endif
+
+ // 1.3.132.0.33
+ static const uint8_t kOIDP224[] = {0x2b, 0x81, 0x04, 0x00, 0x21};
+ out->curves[3].nid = NID_secp224r1;
+ out->curves[3].oid = kOIDP224;
+ out->curves[3].oid_len = sizeof(kOIDP224);
+ out->curves[3].comment = "NIST P-224";
+ out->curves[3].param_len = 28;
+ out->curves[3].params = kP224Params;
+ out->curves[3].method =
+#if defined(BORINGSSL_HAS_UINT128) && !defined(OPENSSL_SMALL)
+ EC_GFp_nistp224_method();
+#else
+ EC_GFp_mont_method();
+#endif
+}
+
+EC_GROUP *ec_group_new(const EC_METHOD *meth) {
+ EC_GROUP *ret;
+
+ if (meth == NULL) {
+ OPENSSL_PUT_ERROR(EC, EC_R_SLOT_FULL);
+ return NULL;
+ }
+
+ if (meth->group_init == 0) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return NULL;
+ }
+
+ ret = OPENSSL_malloc(sizeof(EC_GROUP));
+ if (ret == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ OPENSSL_memset(ret, 0, sizeof(EC_GROUP));
+
+ ret->references = 1;
+ ret->meth = meth;
+ BN_init(&ret->order);
+
+ if (!meth->group_init(ret)) {
+ OPENSSL_free(ret);
+ return NULL;
+ }
+
+ return ret;
+}
+
+static void ec_group_set0_generator(EC_GROUP *group, EC_POINT *generator) {
+ assert(group->generator == NULL);
+ assert(group == generator->group);
+
+ // Avoid a reference cycle. |group->generator| does not maintain an owning
+ // pointer to |group|.
+ group->generator = generator;
+ int is_zero = CRYPTO_refcount_dec_and_test_zero(&group->references);
+
+ assert(!is_zero);
+ (void)is_zero;
+}
+
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx) {
+ if (BN_num_bytes(p) > EC_MAX_SCALAR_BYTES) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FIELD);
+ return NULL;
+ }
+
+ EC_GROUP *ret = ec_group_new(EC_GFp_mont_method());
+ if (ret == NULL) {
+ return NULL;
+ }
+
+ if (ret->meth->group_set_curve == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ EC_GROUP_free(ret);
+ return NULL;
+ }
+ if (!ret->meth->group_set_curve(ret, p, a, b, ctx)) {
+ EC_GROUP_free(ret);
+ return NULL;
+ }
+ return ret;
+}
+
+int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
+ const BIGNUM *order, const BIGNUM *cofactor) {
+ if (group->curve_name != NID_undef || group->generator != NULL ||
+ generator->group != group) {
+ // |EC_GROUP_set_generator| may only be used with |EC_GROUP|s returned by
+ // |EC_GROUP_new_curve_GFp| and may only used once on each group.
+ // Additionally, |generator| must been created from
+ // |EC_GROUP_new_curve_GFp|, not a copy, so that
+ // |generator->group->generator| is set correctly.
+ OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+
+ if (BN_num_bytes(order) > EC_MAX_SCALAR_BYTES) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FIELD);
+ return 0;
+ }
+
+ // Require a cofactor of one for custom curves, which implies prime order.
+ if (!BN_is_one(cofactor)) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COFACTOR);
+ return 0;
+ }
+
+ // Require that p < 2Ă—order. This simplifies some ECDSA operations.
+ //
+ // Note any curve which did not satisfy this must have been invalid or use a
+ // tiny prime (less than 17). See the proof in |field_element_to_scalar| in
+ // the ECDSA implementation.
+ BIGNUM *tmp = BN_new();
+ if (tmp == NULL ||
+ !BN_lshift1(tmp, order)) {
+ BN_free(tmp);
+ return 0;
+ }
+ int ok = BN_cmp(tmp, &group->field) > 0;
+ BN_free(tmp);
+ if (!ok) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_GROUP_ORDER);
+ return 0;
+ }
+
+ EC_POINT *copy = EC_POINT_new(group);
+ if (copy == NULL ||
+ !EC_POINT_copy(copy, generator) ||
+ !BN_copy(&group->order, order)) {
+ EC_POINT_free(copy);
+ return 0;
+ }
+ // Store the order in minimal form, so it can be used with |BN_ULONG| arrays.
+ bn_set_minimal_width(&group->order);
+
+ BN_MONT_CTX_free(group->order_mont);
+ group->order_mont = BN_MONT_CTX_new_for_modulus(&group->order, NULL);
+ if (group->order_mont == NULL) {
+ return 0;
+ }
+
+ ec_group_set0_generator(group, copy);
+ return 1;
+}
+
+static EC_GROUP *ec_group_new_from_data(const struct built_in_curve *curve) {
+ EC_GROUP *group = NULL;
+ EC_POINT *P = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
+ int ok = 0;
+
+ BN_CTX *ctx = BN_CTX_new();
+ if (ctx == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ const unsigned param_len = curve->param_len;
+ const uint8_t *params = curve->params;
+
+ if (!(p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) ||
+ !(a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) ||
+ !(b = BN_bin2bn(params + 2 * param_len, param_len, NULL))) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ group = ec_group_new(curve->method);
+ if (group == NULL ||
+ !group->meth->group_set_curve(group, p, a, b, ctx)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ if ((P = EC_POINT_new(group)) == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ if (!(x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) ||
+ !(y = BN_bin2bn(params + 4 * param_len, param_len, NULL))) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (!BN_bin2bn(params + 5 * param_len, param_len, &group->order)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ group->order_mont = BN_MONT_CTX_new_for_modulus(&group->order, ctx);
+ if (group->order_mont == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ ec_group_set0_generator(group, P);
+ P = NULL;
+ ok = 1;
+
+err:
+ if (!ok) {
+ EC_GROUP_free(group);
+ group = NULL;
+ }
+ EC_POINT_free(P);
+ BN_CTX_free(ctx);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ BN_free(x);
+ BN_free(y);
+ return group;
+}
+
+// Built-in groups are allocated lazily and static once allocated.
+// TODO(davidben): Make these actually static. https://crbug.com/boringssl/20.
+struct built_in_groups_st {
+ EC_GROUP *groups[OPENSSL_NUM_BUILT_IN_CURVES];
+};
+DEFINE_BSS_GET(struct built_in_groups_st, built_in_groups);
+DEFINE_STATIC_MUTEX(built_in_groups_lock);
+
+EC_GROUP *EC_GROUP_new_by_curve_name(int nid) {
+ struct built_in_groups_st *groups = built_in_groups_bss_get();
+ EC_GROUP **group_ptr = NULL;
+ const struct built_in_curves *const curves = OPENSSL_built_in_curves();
+ const struct built_in_curve *curve = NULL;
+ for (size_t i = 0; i < OPENSSL_NUM_BUILT_IN_CURVES; i++) {
+ if (curves->curves[i].nid == nid) {
+ curve = &curves->curves[i];
+ group_ptr = &groups->groups[i];
+ break;
+ }
+ }
+
+ if (curve == NULL) {
+ OPENSSL_PUT_ERROR(EC, EC_R_UNKNOWN_GROUP);
+ return NULL;
+ }
+
+ CRYPTO_STATIC_MUTEX_lock_read(built_in_groups_lock_bss_get());
+ EC_GROUP *ret = *group_ptr;
+ CRYPTO_STATIC_MUTEX_unlock_read(built_in_groups_lock_bss_get());
+ if (ret != NULL) {
+ return ret;
+ }
+
+ ret = ec_group_new_from_data(curve);
+ if (ret == NULL) {
+ return NULL;
+ }
+
+ EC_GROUP *to_free = NULL;
+ CRYPTO_STATIC_MUTEX_lock_write(built_in_groups_lock_bss_get());
+ if (*group_ptr == NULL) {
+ *group_ptr = ret;
+ // Filling in |ret->curve_name| makes |EC_GROUP_free| and |EC_GROUP_dup|
+ // into no-ops. At this point, |ret| is considered static.
+ ret->curve_name = nid;
+ } else {
+ to_free = ret;
+ ret = *group_ptr;
+ }
+ CRYPTO_STATIC_MUTEX_unlock_write(built_in_groups_lock_bss_get());
+
+ EC_GROUP_free(to_free);
+ return ret;
+}
+
+void EC_GROUP_free(EC_GROUP *group) {
+ if (group == NULL ||
+ // Built-in curves are static.
+ group->curve_name != NID_undef ||
+ !CRYPTO_refcount_dec_and_test_zero(&group->references)) {
+ return;
+ }
+
+ if (group->meth->group_finish != NULL) {
+ group->meth->group_finish(group);
+ }
+
+ ec_point_free(group->generator, 0 /* don't free group */);
+ BN_free(&group->order);
+ BN_MONT_CTX_free(group->order_mont);
+
+ OPENSSL_free(group);
+}
+
+EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) {
+ if (a == NULL ||
+ // Built-in curves are static.
+ a->curve_name != NID_undef) {
+ return (EC_GROUP *)a;
+ }
+
+ // Groups are logically immutable (but for |EC_GROUP_set_generator| which must
+ // be called early on), so we simply take a reference.
+ EC_GROUP *group = (EC_GROUP *)a;
+ CRYPTO_refcount_inc(&group->references);
+ return group;
+}
+
+int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ignored) {
+ // Note this function returns 0 if equal and non-zero otherwise.
+ if (a == b) {
+ return 0;
+ }
+ if (a->curve_name != b->curve_name) {
+ return 1;
+ }
+ if (a->curve_name != NID_undef) {
+ // Built-in curves may be compared by curve name alone.
+ return 0;
+ }
+
+ // |a| and |b| are both custom curves. We compare the entire curve
+ // structure. If |a| or |b| is incomplete (due to legacy OpenSSL mistakes,
+ // custom curve construction is sadly done in two parts) but otherwise not the
+ // same object, we consider them always unequal.
+ return a->generator == NULL ||
+ b->generator == NULL ||
+ BN_cmp(&a->order, &b->order) != 0 ||
+ BN_cmp(&a->field, &b->field) != 0 ||
+ BN_cmp(&a->a, &b->a) != 0 ||
+ BN_cmp(&a->b, &b->b) != 0 ||
+ ec_GFp_simple_cmp(a, a->generator, b->generator, NULL) != 0;
+}
+
+const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) {
+ return group->generator;
+}
+
+const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group) {
+ assert(!BN_is_zero(&group->order));
+ return &group->order;
+}
+
+int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) {
+ if (BN_copy(order, EC_GROUP_get0_order(group)) == NULL) {
+ return 0;
+ }
+ return 1;
+}
+
+int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
+ BN_CTX *ctx) {
+ // All |EC_GROUP|s have cofactor 1.
+ return BN_set_word(cofactor, 1);
+}
+
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, BIGNUM *out_a,
+ BIGNUM *out_b, BN_CTX *ctx) {
+ return ec_GFp_simple_group_get_curve(group, out_p, out_a, out_b, ctx);
+}
+
+int EC_GROUP_get_curve_name(const EC_GROUP *group) { return group->curve_name; }
+
+unsigned EC_GROUP_get_degree(const EC_GROUP *group) {
+ return ec_GFp_simple_group_get_degree(group);
+}
+
+EC_POINT *EC_POINT_new(const EC_GROUP *group) {
+ EC_POINT *ret;
+
+ if (group == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
+ return NULL;
+ }
+
+ ret = OPENSSL_malloc(sizeof *ret);
+ if (ret == NULL) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+
+ ret->group = EC_GROUP_dup(group);
+ if (ret->group == NULL ||
+ !ec_GFp_simple_point_init(ret)) {
+ OPENSSL_free(ret);
+ return NULL;
+ }
+
+ return ret;
+}
+
+static void ec_point_free(EC_POINT *point, int free_group) {
+ if (!point) {
+ return;
+ }
+ ec_GFp_simple_point_finish(point);
+ if (free_group) {
+ EC_GROUP_free(point->group);
+ }
+ OPENSSL_free(point);
+}
+
+void EC_POINT_free(EC_POINT *point) {
+ ec_point_free(point, 1 /* free group */);
+}
+
+void EC_POINT_clear_free(EC_POINT *point) { EC_POINT_free(point); }
+
+int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) {
+ if (EC_GROUP_cmp(dest->group, src->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ if (dest == src) {
+ return 1;
+ }
+ return ec_GFp_simple_point_copy(dest, src);
+}
+
+EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) {
+ if (a == NULL) {
+ return NULL;
+ }
+
+ EC_POINT *ret = EC_POINT_new(group);
+ if (ret == NULL ||
+ !EC_POINT_copy(ret, a)) {
+ EC_POINT_free(ret);
+ return NULL;
+ }
+
+ return ret;
+}
+
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) {
+ if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_point_set_to_infinity(group, point);
+}
+
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) {
+ if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_is_at_infinity(group, point);
+}
+
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
+ BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_is_on_curve(group, point, ctx);
+}
+
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
+ BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, a->group, NULL) != 0 ||
+ EC_GROUP_cmp(group, b->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return -1;
+ }
+ return ec_GFp_simple_cmp(group, a, b, ctx);
+}
+
+int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_make_affine(group, point, ctx);
+}
+
+int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[],
+ BN_CTX *ctx) {
+ for (size_t i = 0; i < num; i++) {
+ if (EC_GROUP_cmp(group, points[i]->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ }
+ return ec_GFp_simple_points_make_affine(group, num, points, 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 == 0) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_get_affine_coordinates(group, point, x, y, 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 (EC_GROUP_cmp(group, point->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ if (!ec_GFp_simple_point_set_affine_coordinates(group, point, x, y, ctx)) {
+ return 0;
+ }
+
+ if (!EC_POINT_is_on_curve(group, point, ctx)) {
+ // In the event of an error, defend against the caller not checking the
+ // return value by setting a known safe value: the base point.
+ const EC_POINT *generator = EC_GROUP_get0_generator(group);
+ // The generator can be missing if the caller is in the process of
+ // constructing an arbitrary group. In this, we give up and hope they're
+ // checking the return value.
+ if (generator) {
+ EC_POINT_copy(point, generator);
+ }
+ OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
+ return 0;
+ }
+
+ return 1;
+}
+
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
+ const EC_POINT *b, BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, r->group, NULL) != 0 ||
+ EC_GROUP_cmp(group, a->group, NULL) != 0 ||
+ EC_GROUP_cmp(group, b->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_add(group, r, a, b, ctx);
+}
+
+
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
+ BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, r->group, NULL) != 0 ||
+ EC_GROUP_cmp(group, a->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_dbl(group, r, a, ctx);
+}
+
+
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) {
+ if (EC_GROUP_cmp(group, a->group, NULL) != 0) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return ec_GFp_simple_invert(group, a, ctx);
+}
+
+static int arbitrary_bignum_to_scalar(const EC_GROUP *group, EC_SCALAR *out,
+ const BIGNUM *in, BN_CTX *ctx) {
+ if (ec_bignum_to_scalar(group, out, in)) {
+ return 1;
+ }
+
+ ERR_clear_error();
+
+ // This is an unusual input, so we do not guarantee constant-time processing.
+ const BIGNUM *order = &group->order;
+ BN_CTX_start(ctx);
+ BIGNUM *tmp = BN_CTX_get(ctx);
+ int ok = tmp != NULL &&
+ BN_nnmod(tmp, in, order, ctx) &&
+ ec_bignum_to_scalar_unchecked(group, out, tmp);
+ BN_CTX_end(ctx);
+ return ok;
+}
+
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
+ const EC_POINT *p, const BIGNUM *p_scalar, BN_CTX *ctx) {
+ // Previously, this function set |r| to the point at infinity if there was
+ // nothing to multiply. But, nobody should be calling this function with
+ // nothing to multiply in the first place.
+ if ((g_scalar == NULL && p_scalar == NULL) ||
+ (p == NULL) != (p_scalar == NULL)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ int ret = 0;
+ EC_SCALAR g_scalar_storage, p_scalar_storage;
+ EC_SCALAR *g_scalar_arg = NULL, *p_scalar_arg = NULL;
+ BN_CTX *new_ctx = NULL;
+ if (ctx == NULL) {
+ new_ctx = BN_CTX_new();
+ if (new_ctx == NULL) {
+ goto err;
+ }
+ ctx = new_ctx;
+ }
+
+ if (g_scalar != NULL) {
+ if (!arbitrary_bignum_to_scalar(group, &g_scalar_storage, g_scalar, ctx)) {
+ goto err;
+ }
+ g_scalar_arg = &g_scalar_storage;
+ }
+
+ if (p_scalar != NULL) {
+ if (!arbitrary_bignum_to_scalar(group, &p_scalar_storage, p_scalar, ctx)) {
+ goto err;
+ }
+ p_scalar_arg = &p_scalar_storage;
+ }
+
+ ret = ec_point_mul_scalar(group, r, g_scalar_arg, p, p_scalar_arg, ctx);
+
+err:
+ BN_CTX_free(new_ctx);
+ OPENSSL_cleanse(&g_scalar_storage, sizeof(g_scalar_storage));
+ OPENSSL_cleanse(&p_scalar_storage, sizeof(p_scalar_storage));
+ return ret;
+}
+
+int ec_point_mul_scalar_public(const EC_GROUP *group, EC_POINT *r,
+ const EC_SCALAR *g_scalar, const EC_POINT *p,
+ const EC_SCALAR *p_scalar, BN_CTX *ctx) {
+ if ((g_scalar == NULL && p_scalar == NULL) ||
+ (p == NULL) != (p_scalar == NULL)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if (EC_GROUP_cmp(group, r->group, NULL) != 0 ||
+ (p != NULL && EC_GROUP_cmp(group, p->group, NULL) != 0)) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+
+ return group->meth->mul_public(group, r, g_scalar, p, p_scalar, ctx);
+}
+
+int ec_point_mul_scalar(const EC_GROUP *group, EC_POINT *r,
+ const EC_SCALAR *g_scalar, const EC_POINT *p,
+ const EC_SCALAR *p_scalar, BN_CTX *ctx) {
+ if ((g_scalar == NULL && p_scalar == NULL) ||
+ (p == NULL) != (p_scalar == NULL)) {
+ OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if (EC_GROUP_cmp(group, r->group, NULL) != 0 ||
+ (p != NULL && EC_GROUP_cmp(group, p->group, NULL) != 0)) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+
+ return group->meth->mul(group, r, g_scalar, p, p_scalar, ctx);
+}
+
+void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) {}
+
+const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) {
+ return NULL;
+}
+
+int EC_METHOD_get_field_type(const EC_METHOD *meth) {
+ return NID_X9_62_prime_field;
+}
+
+void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
+ point_conversion_form_t form) {
+ if (form != POINT_CONVERSION_UNCOMPRESSED) {
+ abort();
+ }
+}
+
+size_t EC_get_builtin_curves(EC_builtin_curve *out_curves,
+ size_t max_num_curves) {
+ const struct built_in_curves *const curves = OPENSSL_built_in_curves();
+
+ for (size_t i = 0; i < max_num_curves && i < OPENSSL_NUM_BUILT_IN_CURVES;
+ i++) {
+ out_curves[i].comment = curves->curves[i].comment;
+ out_curves[i].nid = curves->curves[i].nid;
+ }
+
+ return OPENSSL_NUM_BUILT_IN_CURVES;
+}
+
+int ec_bignum_to_scalar(const EC_GROUP *group, EC_SCALAR *out,
+ const BIGNUM *in) {
+ if (!ec_bignum_to_scalar_unchecked(group, out, in)) {
+ return 0;
+ }
+ if (!bn_less_than_words(out->words, group->order.d, group->order.width)) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_SCALAR);
+ return 0;
+ }
+ return 1;
+}
+
+int ec_bignum_to_scalar_unchecked(const EC_GROUP *group, EC_SCALAR *out,
+ const BIGNUM *in) {
+ if (!bn_copy_words(out->words, group->order.width, in)) {
+ OPENSSL_PUT_ERROR(EC, EC_R_INVALID_SCALAR);
+ return 0;
+ }
+ return 1;
+}
+
+int ec_random_nonzero_scalar(const EC_GROUP *group, EC_SCALAR *out,
+ const uint8_t additional_data[32]) {
+ return bn_rand_range_words(out->words, 1, group->order.d, group->order.width,
+ additional_data);
+}