mirror of
https://github.com/wolfSSL/wolfssl.git
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* add wc_linuxkm_check_for_intr_signals(), wc_linuxkm_relax_long_loop(),
WC_CHECK_FOR_INTR_SIGNALS(), WC_RELAX_LONG_LOOP(), SAVE_NO_VECTOR_REGISTERS(),
RESTORE_NO_VECTOR_REGISTERS(), and new error code INTERRUPTED_E ("Process
interrupted");
* update the no-asm remaps in the PK implementations to use
SAVE_NO_VECTOR_REGISTERS() and RESTORE_NO_VECTOR_REGISTERS(), so that inner
loops in them are always covered by the new logic.
15790 lines
540 KiB
C
15790 lines
540 KiB
C
/* ecc.c
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*
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* Copyright (C) 2006-2025 wolfSSL Inc.
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*
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* This file is part of wolfSSL.
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*
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* wolfSSL is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or
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* (at your option) any later version.
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*
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* wolfSSL is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
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*/
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#include <wolfssl/wolfcrypt/libwolfssl_sources.h>
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#ifdef WOLFSSL_ECC_NO_SMALL_STACK
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#undef WOLFSSL_SMALL_STACK
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#undef WOLFSSL_SMALL_STACK_CACHE
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#endif
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/*
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Possible ECC enable options:
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* HAVE_ECC: Overall control of ECC default: on
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* HAVE_ECC_ENCRYPT: ECC encrypt/decrypt w/AES and HKDF default: off
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* HAVE_ECC_SIGN: ECC sign default: on
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* HAVE_ECC_VERIFY: ECC verify default: on
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* HAVE_ECC_DHE: ECC build shared secret default: on
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* HAVE_ECC_CDH: ECC cofactor DH shared secret default: off
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* HAVE_ECC_KEY_IMPORT: ECC Key import default: on
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* HAVE_ECC_KEY_EXPORT: ECC Key export default: on
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* ECC_SHAMIR: Enables Shamir calc method default: on
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* HAVE_COMP_KEY: Enables compressed key default: off
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* WOLFSSL_VALIDATE_ECC_IMPORT: Validate ECC key on import default: off
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* WOLFSSL_VALIDATE_ECC_KEYGEN: Validate ECC key gen default: off
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* WOLFSSL_CUSTOM_CURVES: Allow non-standard curves. default: off
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* Includes the curve "a" variable in calculation
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* ECC_DUMP_OID: Enables dump of OID encoding and sum default: off
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* ECC_CACHE_CURVE: Enables cache of curve info to improve performance
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* default: off
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* FP_ECC: ECC Fixed Point Cache default: off
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* FP cache is not supported for SECP160R1, SECP160R2,
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* SECP160K1 and SECP224K1. These do not work with scalars
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* that are the length of the order when the order is
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* longer than the prime. Use wc_ecc_fp_free to free cache.
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* USE_ECC_B_PARAM: Enable ECC curve B param default: off
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* (on for HAVE_COMP_KEY)
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* WOLFSSL_ECC_CURVE_STATIC: default off (on for windows)
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* For the ECC curve parameters `ecc_set_type` use fixed
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* array for hex string
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* WC_ECC_NONBLOCK: Enable non-blocking support for sign/verify.
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* Requires SP with WOLFSSL_SP_NONBLOCK
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* WC_ECC_NONBLOCK_ONLY Enable the non-blocking function only, no fall-back to
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* normal blocking API's
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* WOLFSSL_ECDSA_SET_K: Enables the setting of the 'k' value to use during ECDSA
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* signing. If the value is invalid, a new random 'k' is
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* generated in the loop. (For testing)
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* default: off
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* WOLFSSL_ECDSA_SET_K_ONE_LOOP:
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* Enables the setting of the 'k' value to use during ECDSA
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* signing. If the value is invalid then an error is
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* returned rather than generating a new 'k'. (For testing)
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* default: off
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* WOLFSSL_ECDSA_DETERMINISTIC_K: Enables RFC6979 implementation of
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* deterministic ECC signatures. The following function
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* can be used to set the deterministic signing flag in the
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* ecc key structure.
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* int wc_ecc_set_deterministic(ecc_key* key, byte flag)
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* default: off
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*
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* WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT: RFC6979 lists a variant that uses the
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* hash directly instead of doing bits2octets(H(m)), when
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* the variant macro is used the bits2octets operation on
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* the hash is removed.
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* default: off
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*
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* WC_PROTECT_ENCRYPTED_MEM:
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* Enables implementations that protect data that is in
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* encrypted memory.
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* default: off
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* WOLFSSL_ECC_GEN_REJECT_SAMPLING
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* Enables generation of scalar (private key and ECDSA
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* nonce) to be performed using reject sampling algorithm.
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* Use this when CPU state can be closely observed by
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* attacker.
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* default: off
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* WOLFSSL_ECC_BLIND_K
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* Blind the private key k by using a random mask.
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* The private key is never stored unprotected but an
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* unmasked copy is computed and stored each time it is
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* needed.
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* default: off
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* WOLFSSL_CHECK_VER_FAULTS
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* Sanity check on verification steps in case of faults.
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* default: off
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*/
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/*
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ECC Curve Types:
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* NO_ECC_SECP Disables SECP curves default: off (not defined)
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* HAVE_ECC_SECPR2 Enables SECP R2 curves default: off
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* HAVE_ECC_SECPR3 Enables SECP R3 curves default: off
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* HAVE_ECC_BRAINPOOL Enables Brainpool curves default: off
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* HAVE_ECC_KOBLITZ Enables Koblitz curves default: off
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* WOLFSSL_SM2 Enables SM2 curves default: off
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*/
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/*
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ECC Curve Sizes:
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* ECC_USER_CURVES: Allows custom combination of key sizes below
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* HAVE_ALL_CURVES: Enable all key sizes (on unless ECC_USER_CURVES is defined)
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* ECC_MIN_KEY_SZ: Minimum supported ECC key size
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* HAVE_ECC112: 112 bit key
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* HAVE_ECC128: 128 bit key
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* HAVE_ECC160: 160 bit key
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* HAVE_ECC192: 192 bit key
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* HAVE_ECC224: 224 bit key
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* HAVE_ECC239: 239 bit key
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* NO_ECC256: Disables 256 bit key (on by default)
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* HAVE_ECC320: 320 bit key
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* HAVE_ECC384: 384 bit key
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* HAVE_ECC512: 512 bit key
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* HAVE_ECC521: 521 bit key
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*/
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#ifdef HAVE_ECC
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/* Make sure custom curves is enabled for Brainpool or Koblitz curve types */
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#if (defined(HAVE_ECC_BRAINPOOL) || defined(HAVE_ECC_KOBLITZ)) &&\
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!defined(WOLFSSL_CUSTOM_CURVES)
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#error Brainpool and Koblitz curves requires WOLFSSL_CUSTOM_CURVES
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#endif
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#if defined(HAVE_FIPS_VERSION) && (HAVE_FIPS_VERSION >= 2)
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/* set NO_WRAPPERS before headers, use direct internal f()s not wrappers */
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#define FIPS_NO_WRAPPERS
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#ifdef USE_WINDOWS_API
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#pragma code_seg(".fipsA$f")
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#pragma const_seg(".fipsB$f")
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#endif
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#endif
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/* public ASN interface */
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#include <wolfssl/wolfcrypt/asn_public.h>
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#include <wolfssl/wolfcrypt/ecc.h>
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#include <wolfssl/wolfcrypt/asn.h>
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#ifdef WOLFSSL_HAVE_SP_ECC
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#include <wolfssl/wolfcrypt/sp.h>
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#endif
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#ifdef HAVE_ECC_ENCRYPT
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#include <wolfssl/wolfcrypt/kdf.h>
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#include <wolfssl/wolfcrypt/aes.h>
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#endif
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#ifdef HAVE_X963_KDF
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#include <wolfssl/wolfcrypt/hash.h>
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#endif
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#ifdef WOLF_CRYPTO_CB
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#include <wolfssl/wolfcrypt/cryptocb.h>
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#endif
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#ifdef NO_INLINE
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#include <wolfssl/wolfcrypt/misc.h>
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#else
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#define WOLFSSL_MISC_INCLUDED
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#include <wolfcrypt/src/misc.c>
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#endif
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#if FIPS_VERSION3_GE(6,0,0)
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const unsigned int wolfCrypt_FIPS_ecc_ro_sanity[2] =
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{ 0x1a2b3c4d, 0x00000005 };
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int wolfCrypt_FIPS_ECC_sanity(void)
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{
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return 0;
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}
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#endif
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#if defined(FREESCALE_LTC_ECC)
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#include <wolfssl/wolfcrypt/port/nxp/ksdk_port.h>
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#endif
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#if defined(WOLFSSL_STM32_PKA)
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#include <wolfssl/wolfcrypt/port/st/stm32.h>
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#endif
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#if defined(WOLFSSL_PSOC6_CRYPTO)
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#include <wolfssl/wolfcrypt/port/cypress/psoc6_crypto.h>
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#endif
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#if defined(WOLFSSL_CAAM)
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#include <wolfssl/wolfcrypt/port/caam/wolfcaam.h>
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#endif
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#if defined(WOLFSSL_KCAPI_ECC)
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#include <wolfssl/wolfcrypt/port/kcapi/kcapi_ecc.h>
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#endif
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#ifdef WOLFSSL_SE050
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#include <wolfssl/wolfcrypt/port/nxp/se050_port.h>
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#endif
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#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
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#include <xsecure_ellipticclient.h>
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#endif
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#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
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defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
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#include <wolfssl/wolfcrypt/hmac.h>
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#endif
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#if defined(WOLFSSL_LINUXKM) && !defined(WOLFSSL_SP_ASM)
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/* force off unneeded vector register save/restore. */
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#undef SAVE_VECTOR_REGISTERS
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#define SAVE_VECTOR_REGISTERS(fail_clause) SAVE_NO_VECTOR_REGISTERS(fail_clause)
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#undef RESTORE_VECTOR_REGISTERS
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#define RESTORE_VECTOR_REGISTERS() RESTORE_NO_VECTOR_REGISTERS()
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#endif
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#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
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!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_SILABS_SE_ACCEL) && \
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!defined(WOLFSSL_KCAPI_ECC) && !defined(WOLFSSL_SE050) && \
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!defined(WOLFSSL_XILINX_CRYPT_VERSAL) && !defined(WOLFSSL_STM32_PKA)
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#undef HAVE_ECC_VERIFY_HELPER
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#define HAVE_ECC_VERIFY_HELPER
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#endif
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#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
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!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_SILABS_SE_ACCEL) && \
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!defined(WOLFSSL_KCAPI_ECC) && !defined(NO_ECC_MAKE_PUB) && \
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!defined(WOLF_CRYPTO_CB_ONLY_ECC)
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#undef HAVE_ECC_MAKE_PUB
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#define HAVE_ECC_MAKE_PUB
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#endif
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/* macro guard for ecc_check_pubkey_order functionality */
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#if (!defined(NO_ECC_CHECK_PUBKEY_ORDER) && \
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!defined(WOLF_CRYPTO_CB_ONLY_ECC) && \
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!defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
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!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_SILABS_SE_ACCEL) && \
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!defined(WOLFSSL_SE050) && !defined(WOLFSSL_STM32_PKA)) || \
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defined(WOLFSSL_IMXRT1170_CAAM) || defined(WOLFSSL_QNX_CAAM)
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/* CAAM builds use public key validation as a means to check if an
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* imported private key is an encrypted black key or not */
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#undef HAVE_ECC_CHECK_PUBKEY_ORDER
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#define HAVE_ECC_CHECK_PUBKEY_ORDER
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#endif
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#if defined(WOLFSSL_SP_MATH_ALL) && SP_INT_BITS < MAX_ECC_BITS_NEEDED
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#define MAX_ECC_BITS_USE SP_INT_BITS
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#else
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#define MAX_ECC_BITS_USE MAX_ECC_BITS_NEEDED
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#endif
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#if !defined(WOLFSSL_CUSTOM_CURVES) && (ECC_MIN_KEY_SZ > 160) && \
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(!defined(HAVE_ECC_KOBLITZ) || (ECC_MIN_KEY_SZ > 224))
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#define ECC_KEY_MAX_BITS(key) \
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((((key) == NULL) || ((key)->dp == NULL)) ? MAX_ECC_BITS_USE : \
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((unsigned)((key)->dp->size * 8)))
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#define ECC_KEY_MAX_BITS_NONULLCHECK(key) \
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(((key)->dp == NULL) ? MAX_ECC_BITS_USE : \
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((unsigned)((key)->dp->size * 8)))
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#else
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/* Add one bit for cases when order is a bit greater than prime. */
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#define ECC_KEY_MAX_BITS(key) \
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((((key) == NULL) || ((key)->dp == NULL)) ? MAX_ECC_BITS_USE : \
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((unsigned)((key)->dp->size * 8 + 1)))
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#define ECC_KEY_MAX_BITS_NONULLCHECK(key) \
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(((key)->dp == NULL) ? MAX_ECC_BITS_USE : \
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((unsigned)((key)->dp->size * 8 + 1)))
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#endif
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#ifdef WOLFSSL_ECC_BLIND_K
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mp_int* ecc_get_k(ecc_key* key)
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{
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mp_xor_ct(key->k, key->kb, key->dp->size, key->ku);
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return key->ku;
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}
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void ecc_blind_k(ecc_key* key, mp_int* b)
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{
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mp_xor_ct(key->k, b, key->dp->size, key->k);
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mp_xor_ct(key->kb, b, key->dp->size, key->kb);
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}
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int ecc_blind_k_rng(ecc_key* key, WC_RNG* rng)
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{
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int ret = 0;
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WC_RNG local_rng;
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#ifdef ECC_TIMING_RESISTANT
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if (rng == NULL) {
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rng = key->rng;
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}
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#endif
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if (rng == NULL) {
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ret = wc_InitRng(&local_rng);
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if (ret == 0) {
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rng = &local_rng;
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}
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}
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if (ret == 0) {
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ret = mp_rand(key->kb, (key->dp->size + sizeof(mp_digit) - 1) /
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sizeof(mp_digit), rng);
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if (ret == 0) {
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mp_xor_ct(key->k, key->kb, key->dp->size, key->k);
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}
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}
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if (rng == &local_rng) {
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wc_FreeRng(&local_rng);
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}
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return ret;
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}
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mp_int* wc_ecc_key_get_priv(ecc_key* key)
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{
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return ecc_get_k(key);
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}
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#endif
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/* forward declarations */
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static int wc_ecc_new_point_ex(ecc_point** point, void* heap);
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static void wc_ecc_del_point_ex(ecc_point* p, void* heap);
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#if defined(HAVE_ECC_SIGN) && (defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
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defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT))
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static int deterministic_sign_helper(const byte* in, word32 inlen, ecc_key* key);
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#endif
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/* internal ECC states */
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enum {
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ECC_STATE_NONE = 0,
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ECC_STATE_SHARED_SEC_GEN,
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ECC_STATE_SHARED_SEC_RES,
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ECC_STATE_SIGN_DO,
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ECC_STATE_SIGN_ENCODE,
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ECC_STATE_VERIFY_DECODE,
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ECC_STATE_VERIFY_DO,
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ECC_STATE_VERIFY_RES
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};
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/* map
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ptmul -> mulmod
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*/
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/* 256-bit curve on by default whether user curves or not */
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#if (defined(HAVE_ECC112) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 112
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#define ECC112
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#endif
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#if (defined(HAVE_ECC128) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 128
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#define ECC128
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#endif
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#if (defined(HAVE_ECC160) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 160
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#define ECC160
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#endif
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#if (defined(HAVE_ECC192) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 192
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#define ECC192
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#endif
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#if (defined(HAVE_ECC224) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 224
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#define ECC224
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#endif
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#if (defined(HAVE_ECC239) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 239
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#define ECC239
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#endif
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#if (!defined(NO_ECC256) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 256
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#define ECC256
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#endif
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#if (defined(HAVE_ECC320) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 320
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#define ECC320
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#endif
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#if (defined(HAVE_ECC384) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 384
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#define ECC384
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#endif
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#if (defined(HAVE_ECC512) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 512
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#define ECC512
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#endif
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#if (defined(HAVE_ECC521) || defined(HAVE_ALL_CURVES)) && ECC_MIN_KEY_SZ <= 521
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#define ECC521
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#endif
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/* The encoded OID's for ECC curves */
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#ifdef ECC112
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#ifndef NO_ECC_SECP
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#ifdef HAVE_OID_ENCODING
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#define CODED_SECP112R1 {1,3,132,0,6}
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#define CODED_SECP112R1_SZ 5
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#else
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#define CODED_SECP112R1 {0x2B,0x81,0x04,0x00,0x06}
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#define CODED_SECP112R1_SZ 5
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#endif
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#ifndef WOLFSSL_ECC_CURVE_STATIC
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static const ecc_oid_t ecc_oid_secp112r1[] = CODED_SECP112R1;
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#else
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#define ecc_oid_secp112r1 CODED_SECP112R1
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#endif
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#define ecc_oid_secp112r1_sz CODED_SECP112R1_SZ
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#endif /* !NO_ECC_SECP */
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#if defined(HAVE_ECC_SECPR2) && defined(HAVE_ECC_KOBLITZ)
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#ifdef HAVE_OID_ENCODING
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#define CODED_SECP112R2 {1,3,132,0,7}
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#define CODED_SECP112R2_SZ 5
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#else
|
|
#define CODED_SECP112R2 {0x2B,0x81,0x04,0x00,0x07}
|
|
#define CODED_SECP112R2_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp112r2[] = CODED_SECP112R2;
|
|
#else
|
|
#define ecc_oid_secp112r2 CODED_SECP112R2
|
|
#endif
|
|
#define ecc_oid_secp112r2_sz CODED_SECP112R2_SZ
|
|
#endif /* HAVE_ECC_SECPR2 && HAVE_ECC_KOBLITZ */
|
|
#endif /* ECC112 */
|
|
#ifdef ECC128
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP128R1 {1,3,132,0,28}
|
|
#define CODED_SECP128R1_SZ 5
|
|
#else
|
|
#define CODED_SECP128R1 {0x2B,0x81,0x04,0x00,0x1C}
|
|
#define CODED_SECP128R1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp128r1[] = CODED_SECP128R1;
|
|
#else
|
|
#define ecc_oid_secp128r1 CODED_SECP128R1
|
|
#endif
|
|
#define ecc_oid_secp128r1_sz CODED_SECP128R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#if defined(HAVE_ECC_SECPR2) && defined(HAVE_ECC_KOBLITZ)
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP128R2 {1,3,132,0,29}
|
|
#define CODED_SECP128R2_SZ 5
|
|
#else
|
|
#define CODED_SECP128R2 {0x2B,0x81,0x04,0x00,0x1D}
|
|
#define CODED_SECP128R2_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp128r2[] = CODED_SECP128R2;
|
|
#else
|
|
#define ecc_oid_secp128r2 CODED_SECP128R2
|
|
#endif
|
|
#define ecc_oid_secp128r2_sz CODED_SECP128R2_SZ
|
|
#endif /* HAVE_ECC_SECPR2 && HAVE_ECC_KOBLITZ */
|
|
#endif /* ECC128 */
|
|
#ifdef ECC160
|
|
#ifndef FP_ECC
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP160R1 {1,3,132,0,8}
|
|
#define CODED_SECP160R1_SZ 5
|
|
#else
|
|
#define CODED_SECP160R1 {0x2B,0x81,0x04,0x00,0x08}
|
|
#define CODED_SECP160R1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp160r1[] = CODED_SECP160R1;
|
|
#else
|
|
#define ecc_oid_secp160r1 CODED_SECP160R1
|
|
#endif
|
|
#define ecc_oid_secp160r1_sz CODED_SECP160R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP160R2 {1,3,132,0,30}
|
|
#define CODED_SECP160R2_SZ 5
|
|
#else
|
|
#define CODED_SECP160R2 {0x2B,0x81,0x04,0x00,0x1E}
|
|
#define CODED_SECP160R2_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp160r2[] = CODED_SECP160R2;
|
|
#else
|
|
#define ecc_oid_secp160r2 CODED_SECP160R2
|
|
#endif
|
|
#define ecc_oid_secp160r2_sz CODED_SECP160R2_SZ
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP160K1 {1,3,132,0,9}
|
|
#define CODED_SECP160K1_SZ 5
|
|
#else
|
|
#define CODED_SECP160K1 {0x2B,0x81,0x04,0x00,0x09}
|
|
#define CODED_SECP160K1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp160k1[] = CODED_SECP160K1;
|
|
#else
|
|
#define ecc_oid_secp160k1 CODED_SECP160K1
|
|
#endif
|
|
#define ecc_oid_secp160k1_sz CODED_SECP160K1_SZ
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#endif /* !FP_ECC */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP160R1 {1,3,36,3,3,2,8,1,1,1}
|
|
#define CODED_BRAINPOOLP160R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP160R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x01}
|
|
#define CODED_BRAINPOOLP160R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp160r1[] = CODED_BRAINPOOLP160R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp160r1 CODED_BRAINPOOLP160R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp160r1_sz CODED_BRAINPOOLP160R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC160 */
|
|
#ifdef ECC192
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP192R1 {1,2,840,10045,3,1,1}
|
|
#define CODED_SECP192R1_SZ 7
|
|
#else
|
|
#define CODED_SECP192R1 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x01}
|
|
#define CODED_SECP192R1_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp192r1[] = CODED_SECP192R1;
|
|
#else
|
|
#define ecc_oid_secp192r1 CODED_SECP192R1
|
|
#endif
|
|
#define ecc_oid_secp192r1_sz CODED_SECP192R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_PRIME192V2 {1,2,840,10045,3,1,2}
|
|
#define CODED_PRIME192V2_SZ 7
|
|
#else
|
|
#define CODED_PRIME192V2 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x02}
|
|
#define CODED_PRIME192V2_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_prime192v2[] = CODED_PRIME192V2;
|
|
#else
|
|
#define ecc_oid_prime192v2 CODED_PRIME192V2
|
|
#endif
|
|
#define ecc_oid_prime192v2_sz CODED_PRIME192V2_SZ
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_SECPR3
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_PRIME192V3 {1,2,840,10045,3,1,3}
|
|
#define CODED_PRIME192V3_SZ 7
|
|
#else
|
|
#define CODED_PRIME192V3 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x03}
|
|
#define CODED_PRIME192V3_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_prime192v3[] = CODED_PRIME192V3;
|
|
#else
|
|
#define ecc_oid_prime192v3 CODED_PRIME192V3
|
|
#endif
|
|
#define ecc_oid_prime192v3_sz CODED_PRIME192V3_SZ
|
|
#endif /* HAVE_ECC_SECPR3 */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP192K1 {1,3,132,0,31}
|
|
#define CODED_SECP192K1_SZ 5
|
|
#else
|
|
#define CODED_SECP192K1 {0x2B,0x81,0x04,0x00,0x1F}
|
|
#define CODED_SECP192K1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp192k1[] = CODED_SECP192K1;
|
|
#else
|
|
#define ecc_oid_secp192k1 CODED_SECP192K1
|
|
#endif
|
|
#define ecc_oid_secp192k1_sz CODED_SECP192K1_SZ
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP192R1 {1,3,36,3,3,2,8,1,1,3}
|
|
#define CODED_BRAINPOOLP192R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP192R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x03}
|
|
#define CODED_BRAINPOOLP192R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp192r1[] = CODED_BRAINPOOLP192R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp192r1 CODED_BRAINPOOLP192R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp192r1_sz CODED_BRAINPOOLP192R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC192 */
|
|
#ifdef ECC224
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP224R1 {1,3,132,0,33}
|
|
#define CODED_SECP224R1_SZ 5
|
|
#else
|
|
#define CODED_SECP224R1 {0x2B,0x81,0x04,0x00,0x21}
|
|
#define CODED_SECP224R1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp224r1[] = CODED_SECP224R1;
|
|
#else
|
|
#define ecc_oid_secp224r1 CODED_SECP224R1
|
|
#endif
|
|
#define ecc_oid_secp224r1_sz CODED_SECP224R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#if defined(HAVE_ECC_KOBLITZ) && !defined(FP_ECC)
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP224K1 {1,3,132,0,32}
|
|
#define CODED_SECP224K1_SZ 5
|
|
#else
|
|
#define CODED_SECP224K1 {0x2B,0x81,0x04,0x00,0x20}
|
|
#define CODED_SECP224K1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp224k1[] = CODED_SECP224K1;
|
|
#else
|
|
#define ecc_oid_secp224k1 CODED_SECP224K1
|
|
#endif
|
|
#define ecc_oid_secp224k1_sz CODED_SECP224K1_SZ
|
|
#endif /* HAVE_ECC_KOBLITZ && !FP_ECC */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP224R1 {1,3,36,3,3,2,8,1,1,5}
|
|
#define CODED_BRAINPOOLP224R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP224R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x05}
|
|
#define CODED_BRAINPOOLP224R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp224r1[] = CODED_BRAINPOOLP224R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp224r1 CODED_BRAINPOOLP224R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp224r1_sz CODED_BRAINPOOLP224R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC224 */
|
|
#ifdef ECC239
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_PRIME239V1 {1,2,840,10045,3,1,4}
|
|
#define CODED_PRIME239V1_SZ 7
|
|
#else
|
|
#define CODED_PRIME239V1 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x04}
|
|
#define CODED_PRIME239V1_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_prime239v1[] = CODED_PRIME239V1;
|
|
#else
|
|
#define ecc_oid_prime239v1 CODED_PRIME239V1
|
|
#endif
|
|
#define ecc_oid_prime239v1_sz CODED_PRIME239V1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_PRIME239V2 {1,2,840,10045,3,1,5}
|
|
#define CODED_PRIME239V2_SZ 7
|
|
#else
|
|
#define CODED_PRIME239V2 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x05}
|
|
#define CODED_PRIME239V2_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_prime239v2[] = CODED_PRIME239V2;
|
|
#else
|
|
#define ecc_oid_prime239v2 CODED_PRIME239V2
|
|
#endif
|
|
#define ecc_oid_prime239v2_sz CODED_PRIME239V2_SZ
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_SECPR3
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_PRIME239V3 {1,2,840,10045,3,1,6}
|
|
#define CODED_PRIME239V3_SZ 7
|
|
#else
|
|
#define CODED_PRIME239V3 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x06}
|
|
#define CODED_PRIME239V3_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_prime239v3[] = CODED_PRIME239V3;
|
|
#else
|
|
#define ecc_oid_prime239v3 CODED_PRIME239V3
|
|
#endif
|
|
#define ecc_oid_prime239v3_sz CODED_PRIME239V3_SZ
|
|
#endif /* HAVE_ECC_SECPR3 */
|
|
#endif /* ECC239 */
|
|
#ifdef ECC256
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP256R1 {1,2,840,10045,3,1,7}
|
|
#define CODED_SECP256R1_SZ 7
|
|
#else
|
|
#define CODED_SECP256R1 {0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x07}
|
|
#define CODED_SECP256R1_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp256r1[] = CODED_SECP256R1;
|
|
#else
|
|
#define ecc_oid_secp256r1 CODED_SECP256R1
|
|
#endif
|
|
#define ecc_oid_secp256r1_sz CODED_SECP256R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP256K1 {1,3,132,0,10}
|
|
#define CODED_SECP256K1_SZ 5
|
|
#else
|
|
#define CODED_SECP256K1 {0x2B,0x81,0x04,0x00,0x0A}
|
|
#define CODED_SECP256K1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp256k1[] = CODED_SECP256K1;
|
|
#else
|
|
#define ecc_oid_secp256k1 CODED_SECP256K1
|
|
#endif
|
|
#define ecc_oid_secp256k1_sz CODED_SECP256K1_SZ
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP256R1 {1,3,36,3,3,2,8,1,1,7}
|
|
#define CODED_BRAINPOOLP256R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP256R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x07}
|
|
#define CODED_BRAINPOOLP256R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp256r1[] = CODED_BRAINPOOLP256R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp256r1 CODED_BRAINPOOLP256R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp256r1_sz CODED_BRAINPOOLP256R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC256 */
|
|
#if defined(WOLFSSL_SM2)
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SM2P256V1 {1,2,156,10197,1,301}
|
|
#define CODED_SM2P256V1_SZ 6
|
|
#else
|
|
#define CODED_SM2P256V1 {0x2A,0x81,0x1C,0xCF,0x55,0x01,0x82,0x2d}
|
|
#define CODED_SM2P256V1_SZ 8
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_sm2p256v1[] = CODED_SM2P256V1;
|
|
#else
|
|
#define ecc_oid_sm2p256v1 CODED_SM2P256V1
|
|
#endif
|
|
#define ecc_oid_sm2p256v1_sz CODED_SM2P256V1_SZ
|
|
#endif /* WOLFSSL_SM2 */
|
|
#ifdef ECC320
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP320R1 {1,3,36,3,3,2,8,1,1,9}
|
|
#define CODED_BRAINPOOLP320R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP320R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x09}
|
|
#define CODED_BRAINPOOLP320R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp320r1[] = CODED_BRAINPOOLP320R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp320r1 CODED_BRAINPOOLP320R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp320r1_sz CODED_BRAINPOOLP320R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC320 */
|
|
#ifdef ECC384
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP384R1 {1,3,132,0,34}
|
|
#define CODED_SECP384R1_SZ 5
|
|
#else
|
|
#define CODED_SECP384R1 {0x2B,0x81,0x04,0x00,0x22}
|
|
#define CODED_SECP384R1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp384r1[] = CODED_SECP384R1;
|
|
#define CODED_SECP384R1_OID ecc_oid_secp384r1
|
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#else
|
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#define ecc_oid_secp384r1 CODED_SECP384R1
|
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#endif
|
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#define ecc_oid_secp384r1_sz CODED_SECP384R1_SZ
|
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#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP384R1 {1,3,36,3,3,2,8,1,1,11}
|
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#define CODED_BRAINPOOLP384R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP384R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x0B}
|
|
#define CODED_BRAINPOOLP384R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp384r1[] = CODED_BRAINPOOLP384R1;
|
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#else
|
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#define ecc_oid_brainpoolp384r1 CODED_BRAINPOOLP384R1
|
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#endif
|
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#define ecc_oid_brainpoolp384r1_sz CODED_BRAINPOOLP384R1_SZ
|
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#endif /* HAVE_ECC_BRAINPOOL */
|
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#endif /* ECC384 */
|
|
#ifdef ECC512
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_BRAINPOOLP512R1 {1,3,36,3,3,2,8,1,1,13}
|
|
#define CODED_BRAINPOOLP512R1_SZ 10
|
|
#else
|
|
#define CODED_BRAINPOOLP512R1 {0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x0D}
|
|
#define CODED_BRAINPOOLP512R1_SZ 9
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_brainpoolp512r1[] = CODED_BRAINPOOLP512R1;
|
|
#else
|
|
#define ecc_oid_brainpoolp512r1 CODED_BRAINPOOLP512R1
|
|
#endif
|
|
#define ecc_oid_brainpoolp512r1_sz CODED_BRAINPOOLP512R1_SZ
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC512 */
|
|
#ifdef ECC521
|
|
#ifndef NO_ECC_SECP
|
|
#ifdef HAVE_OID_ENCODING
|
|
#define CODED_SECP521R1 {1,3,132,0,35}
|
|
#define CODED_SECP521R1_SZ 5
|
|
#else
|
|
#define CODED_SECP521R1 {0x2B,0x81,0x04,0x00,0x23}
|
|
#define CODED_SECP521R1_SZ 5
|
|
#endif
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
static const ecc_oid_t ecc_oid_secp521r1[] = CODED_SECP521R1;
|
|
#else
|
|
#define ecc_oid_secp521r1 CODED_SECP521R1
|
|
#endif
|
|
#define ecc_oid_secp521r1_sz CODED_SECP521R1_SZ
|
|
#endif /* !NO_ECC_SECP */
|
|
#endif /* ECC521 */
|
|
|
|
|
|
/* This holds the key settings.
|
|
***MUST*** be organized by size from smallest to largest. */
|
|
|
|
#if !defined(HAVE_FIPS) || FIPS_VERSION3_GE(6,0,0)
|
|
#undef ecc_sets
|
|
#undef ecc_sets_count
|
|
#endif
|
|
|
|
#if !defined(HAVE_FIPS) || FIPS_VERSION3_GE(6,0,0)
|
|
static
|
|
#endif
|
|
const ecc_set_type ecc_sets[] = {
|
|
#ifdef ECC112
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
14, /* size/bytes */
|
|
ECC_SECP112R1, /* ID */
|
|
"SECP112R1", /* curve name */
|
|
"DB7C2ABF62E35E668076BEAD208B", /* prime */
|
|
"DB7C2ABF62E35E668076BEAD2088", /* A */
|
|
"659EF8BA043916EEDE8911702B22", /* B */
|
|
"DB7C2ABF62E35E7628DFAC6561C5", /* order */
|
|
"9487239995A5EE76B55F9C2F098", /* Gx */
|
|
"A89CE5AF8724C0A23E0E0FF77500", /* Gy */
|
|
ecc_oid_secp112r1, /* oid/oidSz */
|
|
ecc_oid_secp112r1_sz,
|
|
ECC_SECP112R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#if defined(HAVE_ECC_SECPR2) && defined(HAVE_ECC_KOBLITZ)
|
|
{
|
|
14, /* size/bytes */
|
|
ECC_SECP112R2, /* ID */
|
|
"SECP112R2", /* curve name */
|
|
"DB7C2ABF62E35E668076BEAD208B", /* prime */
|
|
"6127C24C05F38A0AAAF65C0EF02C", /* A */
|
|
"51DEF1815DB5ED74FCC34C85D709", /* B */
|
|
"36DF0AAFD8B8D7597CA10520D04B", /* order */
|
|
"4BA30AB5E892B4E1649DD0928643", /* Gx */
|
|
"ADCD46F5882E3747DEF36E956E97", /* Gy */
|
|
ecc_oid_secp112r2, /* oid/oidSz */
|
|
ecc_oid_secp112r2_sz,
|
|
ECC_SECP112R2_OID, /* oid sum */
|
|
4, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR2 && HAVE_ECC_KOBLITZ */
|
|
#endif /* ECC112 */
|
|
#ifdef ECC128
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
16, /* size/bytes */
|
|
ECC_SECP128R1, /* ID */
|
|
"SECP128R1", /* curve name */
|
|
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", /* A */
|
|
"E87579C11079F43DD824993C2CEE5ED3", /* B */
|
|
"FFFFFFFE0000000075A30D1B9038A115", /* order */
|
|
"161FF7528B899B2D0C28607CA52C5B86", /* Gx */
|
|
"CF5AC8395BAFEB13C02DA292DDED7A83", /* Gy */
|
|
ecc_oid_secp128r1, /* oid/oidSz */
|
|
ecc_oid_secp128r1_sz,
|
|
ECC_SECP128R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#if defined(HAVE_ECC_SECPR2) && defined(HAVE_ECC_KOBLITZ)
|
|
{
|
|
16, /* size/bytes */
|
|
ECC_SECP128R2, /* ID */
|
|
"SECP128R2", /* curve name */
|
|
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", /* prime */
|
|
"D6031998D1B3BBFEBF59CC9BBFF9AEE1", /* A */
|
|
"5EEEFCA380D02919DC2C6558BB6D8A5D", /* B */
|
|
"3FFFFFFF7FFFFFFFBE0024720613B5A3", /* order */
|
|
"7B6AA5D85E572983E6FB32A7CDEBC140", /* Gx */
|
|
"27B6916A894D3AEE7106FE805FC34B44", /* Gy */
|
|
ecc_oid_secp128r2, /* oid/oidSz */
|
|
ecc_oid_secp128r2_sz,
|
|
ECC_SECP128R2_OID, /* oid sum */
|
|
4, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR2 && HAVE_ECC_KOBLITZ */
|
|
#endif /* ECC128 */
|
|
#ifdef ECC160
|
|
#ifndef FP_ECC
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
20, /* size/bytes */
|
|
ECC_SECP160R1, /* ID */
|
|
"SECP160R1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", /* A */
|
|
"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", /* B */
|
|
"100000000000000000001F4C8F927AED3CA752257",/* order */
|
|
"4A96B5688EF573284664698968C38BB913CBFC82", /* Gx */
|
|
"23A628553168947D59DCC912042351377AC5FB32", /* Gy */
|
|
ecc_oid_secp160r1, /* oid/oidSz */
|
|
ecc_oid_secp160r1_sz,
|
|
ECC_SECP160R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
{
|
|
20, /* size/bytes */
|
|
ECC_SECP160R2, /* ID */
|
|
"SECP160R2", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", /* A */
|
|
"B4E134D3FB59EB8BAB57274904664D5AF50388BA", /* B */
|
|
"100000000000000000000351EE786A818F3A1A16B",/* order */
|
|
"52DCB034293A117E1F4FF11B30F7199D3144CE6D", /* Gx */
|
|
"FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E", /* Gy */
|
|
ecc_oid_secp160r2, /* oid/oidSz */
|
|
ecc_oid_secp160r2_sz,
|
|
ECC_SECP160R2_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
{
|
|
20, /* size/bytes */
|
|
ECC_SECP160K1, /* ID */
|
|
"SECP160K1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", /* prime */
|
|
"0000000000000000000000000000000000000000", /* A */
|
|
"0000000000000000000000000000000000000007", /* B */
|
|
"100000000000000000001B8FA16DFAB9ACA16B6B3",/* order */
|
|
"3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", /* Gx */
|
|
"938CF935318FDCED6BC28286531733C3F03C4FEE", /* Gy */
|
|
ecc_oid_secp160k1, /* oid/oidSz */
|
|
ecc_oid_secp160k1_sz,
|
|
ECC_SECP160K1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#endif /* !FP_ECC */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
20, /* size/bytes */
|
|
ECC_BRAINPOOLP160R1, /* ID */
|
|
"BRAINPOOLP160R1", /* curve name */
|
|
"E95E4A5F737059DC60DFC7AD95B3D8139515620F", /* prime */
|
|
"340E7BE2A280EB74E2BE61BADA745D97E8F7C300", /* A */
|
|
"1E589A8595423412134FAA2DBDEC95C8D8675E58", /* B */
|
|
"E95E4A5F737059DC60DF5991D45029409E60FC09", /* order */
|
|
"BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3", /* Gx */
|
|
"1667CB477A1A8EC338F94741669C976316DA6321", /* Gy */
|
|
ecc_oid_brainpoolp160r1, /* oid/oidSz */
|
|
ecc_oid_brainpoolp160r1_sz,
|
|
ECC_BRAINPOOLP160R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC160 */
|
|
#ifdef ECC192
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
24, /* size/bytes */
|
|
ECC_SECP192R1, /* ID */
|
|
"SECP192R1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", /* A */
|
|
"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", /* order */
|
|
"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", /* Gx */
|
|
"7192B95FFC8DA78631011ED6B24CDD573F977A11E794811", /* Gy */
|
|
ecc_oid_secp192r1, /* oid/oidSz */
|
|
ecc_oid_secp192r1_sz,
|
|
ECC_SECP192R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
{
|
|
24, /* size/bytes */
|
|
ECC_PRIME192V2, /* ID */
|
|
"PRIME192V2", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", /* A */
|
|
"CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", /* order */
|
|
"EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", /* Gx */
|
|
"6574D11D69B6EC7A672BB82A083DF2F2B0847DE970B2DE15", /* Gy */
|
|
ecc_oid_prime192v2, /* oid/oidSz */
|
|
ecc_oid_prime192v2_sz,
|
|
ECC_PRIME192V2_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_SECPR3
|
|
{
|
|
24, /* size/bytes */
|
|
ECC_PRIME192V3, /* ID */
|
|
"PRIME192V3", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", /* A */
|
|
"22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", /* order */
|
|
"7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", /* Gx */
|
|
"38A90F22637337334B49DCB66A6DC8F9978ACA7648A943B0", /* Gy */
|
|
ecc_oid_prime192v3, /* oid/oidSz */
|
|
ecc_oid_prime192v3_sz,
|
|
ECC_PRIME192V3_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR3 */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
{
|
|
24, /* size/bytes */
|
|
ECC_SECP192K1, /* ID */
|
|
"SECP192K1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", /* prime */
|
|
"000000000000000000000000000000000000000000000000", /* A */
|
|
"000000000000000000000000000000000000000000000003", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", /* order */
|
|
"DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", /* Gx */
|
|
"9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D", /* Gy */
|
|
ecc_oid_secp192k1, /* oid/oidSz */
|
|
ecc_oid_secp192k1_sz,
|
|
ECC_SECP192K1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
24, /* size/bytes */
|
|
ECC_BRAINPOOLP192R1, /* ID */
|
|
"BRAINPOOLP192R1", /* curve name */
|
|
"C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", /* prime */
|
|
"6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF", /* A */
|
|
"469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9", /* B */
|
|
"C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", /* order */
|
|
"C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6", /* Gx */
|
|
"14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F", /* Gy */
|
|
ecc_oid_brainpoolp192r1, /* oid/oidSz */
|
|
ecc_oid_brainpoolp192r1_sz,
|
|
ECC_BRAINPOOLP192R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC192 */
|
|
#ifdef ECC224
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
28, /* size/bytes */
|
|
ECC_SECP224R1, /* ID */
|
|
"SECP224R1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* A */
|
|
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
|
|
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
|
|
"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
|
|
ecc_oid_secp224r1, /* oid/oidSz */
|
|
ecc_oid_secp224r1_sz,
|
|
ECC_SECP224R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#if defined(HAVE_ECC_KOBLITZ) && !defined(FP_ECC)
|
|
{
|
|
28, /* size/bytes */
|
|
ECC_SECP224K1, /* ID */
|
|
"SECP224K1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", /* prime */
|
|
"00000000000000000000000000000000000000000000000000000000", /* A */
|
|
"00000000000000000000000000000000000000000000000000000005", /* B */
|
|
"10000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",/* order */
|
|
"A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", /* Gx */
|
|
"7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5", /* Gy */
|
|
ecc_oid_secp224k1, /* oid/oidSz */
|
|
ecc_oid_secp224k1_sz,
|
|
ECC_SECP224K1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_KOBLITZ && !FP_ECC */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
28, /* size/bytes */
|
|
ECC_BRAINPOOLP224R1, /* ID */
|
|
"BRAINPOOLP224R1", /* curve name */
|
|
"D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF", /* prime */
|
|
"68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43", /* A */
|
|
"2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B", /* B */
|
|
"D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F", /* order */
|
|
"0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D", /* Gx */
|
|
"58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD", /* Gy */
|
|
ecc_oid_brainpoolp224r1, /* oid/oidSz */
|
|
ecc_oid_brainpoolp224r1_sz,
|
|
ECC_BRAINPOOLP224R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC224 */
|
|
#ifdef ECC239
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
30, /* size/bytes */
|
|
ECC_PRIME239V1, /* ID */
|
|
"PRIME239V1", /* curve name */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", /* prime */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", /* A */
|
|
"6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", /* B */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", /* order */
|
|
"0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", /* Gx */
|
|
"7DEBE8E4E90A5DAE6E4054CA530BA04654B36818CE226B39FCCB7B02F1AE", /* Gy */
|
|
ecc_oid_prime239v1, /* oid/oidSz */
|
|
ecc_oid_prime239v1_sz,
|
|
ECC_PRIME239V1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_SECPR2
|
|
{
|
|
30, /* size/bytes */
|
|
ECC_PRIME239V2, /* ID */
|
|
"PRIME239V2", /* curve name */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", /* prime */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", /* A */
|
|
"617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", /* B */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", /* order */
|
|
"38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", /* Gx */
|
|
"5B0125E4DBEA0EC7206DA0FC01D9B081329FB555DE6EF460237DFF8BE4BA", /* Gy */
|
|
ecc_oid_prime239v2, /* oid/oidSz */
|
|
ecc_oid_prime239v2_sz,
|
|
ECC_PRIME239V2_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR2 */
|
|
#ifdef HAVE_ECC_SECPR3
|
|
{
|
|
30, /* size/bytes */
|
|
ECC_PRIME239V3, /* ID */
|
|
"PRIME239V3", /* curve name */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", /* prime */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", /* A */
|
|
"255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", /* B */
|
|
"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", /* order */
|
|
"6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", /* Gx */
|
|
"1607E6898F390C06BC1D552BAD226F3B6FCFE48B6E818499AF18E3ED6CF3", /* Gy */
|
|
ecc_oid_prime239v3, /* oid/oidSz */
|
|
ecc_oid_prime239v3_sz,
|
|
ECC_PRIME239V3_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_SECPR3 */
|
|
#endif /* ECC239 */
|
|
#ifdef ECC256
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
32, /* size/bytes */
|
|
ECC_SECP256R1, /* ID */
|
|
"SECP256R1", /* curve name */
|
|
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", /* A */
|
|
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", /* B */
|
|
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", /* order */
|
|
"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", /* Gx */
|
|
"4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5", /* Gy */
|
|
ecc_oid_secp256r1, /* oid/oidSz */
|
|
ecc_oid_secp256r1_sz,
|
|
ECC_SECP256R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_KOBLITZ
|
|
{
|
|
32, /* size/bytes */
|
|
ECC_SECP256K1, /* ID */
|
|
"SECP256K1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", /* prime */
|
|
"0000000000000000000000000000000000000000000000000000000000000000", /* A */
|
|
"0000000000000000000000000000000000000000000000000000000000000007", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", /* order */
|
|
"79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", /* Gx */
|
|
"483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", /* Gy */
|
|
ecc_oid_secp256k1, /* oid/oidSz */
|
|
ecc_oid_secp256k1_sz,
|
|
ECC_SECP256K1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_KOBLITZ */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
32, /* size/bytes */
|
|
ECC_BRAINPOOLP256R1, /* ID */
|
|
"BRAINPOOLP256R1", /* curve name */
|
|
"A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377", /* prime */
|
|
"7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9", /* A */
|
|
"26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6", /* B */
|
|
"A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7", /* order */
|
|
"8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262", /* Gx */
|
|
"547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997", /* Gy */
|
|
ecc_oid_brainpoolp256r1, /* oid/oidSz */
|
|
ecc_oid_brainpoolp256r1_sz,
|
|
ECC_BRAINPOOLP256R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC256 */
|
|
#if defined(WOLFSSL_SM2)
|
|
{
|
|
32, /* size/bytes */
|
|
ECC_SM2P256V1, /* ID */
|
|
"SM2P256V1", /* curve name */
|
|
|
|
/* bottom of draft-shen-sm2-ecdsa-02, recommended values */
|
|
"FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", /* prime */
|
|
"FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFC", /* A */
|
|
"28E9FA9E9D9F5E344D5A9E4BCF6509A7F39789F515AB8F92DDBCBD414D940E93", /* B */
|
|
"FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", /* order */
|
|
"32C4AE2C1F1981195F9904466A39C9948FE30BBFF2660BE1715A4589334C74C7", /* Gx */
|
|
"BC3736A2F4F6779C59BDCEE36B692153D0A9877CC62A474002DF32E52139F0A0", /* Gy */
|
|
ecc_oid_sm2p256v1, /* oid/oidSz */
|
|
ecc_oid_sm2p256v1_sz,
|
|
ECC_SM2P256V1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* WOLFSSL_SM2 */
|
|
#ifdef ECC320
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
40, /* size/bytes */
|
|
ECC_BRAINPOOLP320R1, /* ID */
|
|
"BRAINPOOLP320R1", /* curve name */
|
|
"D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27", /* prime */
|
|
"3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4", /* A */
|
|
"520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6", /* B */
|
|
"D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311", /* order */
|
|
"43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E20611", /* Gx */
|
|
"14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1", /* Gy */
|
|
ecc_oid_brainpoolp320r1, ecc_oid_brainpoolp320r1_sz, /* oid/oidSz */
|
|
ECC_BRAINPOOLP320R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC320 */
|
|
#ifdef ECC384
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
48, /* size/bytes */
|
|
ECC_SECP384R1, /* ID */
|
|
"SECP384R1", /* curve name */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", /* prime */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", /* A */
|
|
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", /* B */
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973", /* order */
|
|
"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7", /* Gx */
|
|
"3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F", /* Gy */
|
|
ecc_oid_secp384r1, ecc_oid_secp384r1_sz, /* oid/oidSz */
|
|
ECC_SECP384R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
48, /* size/bytes */
|
|
ECC_BRAINPOOLP384R1, /* ID */
|
|
"BRAINPOOLP384R1", /* curve name */
|
|
"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53", /* prime */
|
|
"7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826", /* A */
|
|
"04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11", /* B */
|
|
"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565", /* order */
|
|
"1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E", /* Gx */
|
|
"8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315", /* Gy */
|
|
ecc_oid_brainpoolp384r1, ecc_oid_brainpoolp384r1_sz, /* oid/oidSz */
|
|
ECC_BRAINPOOLP384R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC384 */
|
|
#ifdef ECC512
|
|
#ifdef HAVE_ECC_BRAINPOOL
|
|
{
|
|
64, /* size/bytes */
|
|
ECC_BRAINPOOLP512R1, /* ID */
|
|
"BRAINPOOLP512R1", /* curve name */
|
|
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", /* prime */
|
|
"7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA", /* A */
|
|
"3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723", /* B */
|
|
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", /* order */
|
|
"81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822", /* Gx */
|
|
"7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892", /* Gy */
|
|
ecc_oid_brainpoolp512r1, ecc_oid_brainpoolp512r1_sz, /* oid/oidSz */
|
|
ECC_BRAINPOOLP512R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* HAVE_ECC_BRAINPOOL */
|
|
#endif /* ECC512 */
|
|
#ifdef ECC521
|
|
#ifndef NO_ECC_SECP
|
|
{
|
|
66, /* size/bytes */
|
|
ECC_SECP521R1, /* ID */
|
|
"SECP521R1", /* curve name */
|
|
"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", /* prime */
|
|
"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", /* A */
|
|
"51953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", /* B */
|
|
"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", /* order */
|
|
"C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", /* Gx */
|
|
"11839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650", /* Gy */
|
|
ecc_oid_secp521r1, ecc_oid_secp521r1_sz, /* oid/oidSz */
|
|
ECC_SECP521R1_OID, /* oid sum */
|
|
1, /* cofactor */
|
|
},
|
|
#endif /* !NO_ECC_SECP */
|
|
#endif /* ECC521 */
|
|
#ifdef WOLFCRYPT_HAVE_SAKKE
|
|
{
|
|
128,
|
|
ECC_SAKKE_1,
|
|
"SAKKE1",
|
|
"997ABB1F0A563FDA65C61198DAD0657A416C0CE19CB48261BE9AE358B3E01A2EF40AAB27E2FC0F1B228730D531A59CB0E791B39FF7C88A19356D27F4A666A6D0E26C6487326B4CD4512AC5CD65681CE1B6AFF4A831852A82A7CF3C521C3C09AA9F94D6AF56971F1FFCE3E82389857DB080C5DF10AC7ACE87666D807AFEA85FEB",
|
|
"997ABB1F0A563FDA65C61198DAD0657A416C0CE19CB48261BE9AE358B3E01A2EF40AAB27E2FC0F1B228730D531A59CB0E791B39FF7C88A19356D27F4A666A6D0E26C6487326B4CD4512AC5CD65681CE1B6AFF4A831852A82A7CF3C521C3C09AA9F94D6AF56971F1FFCE3E82389857DB080C5DF10AC7ACE87666D807AFEA85FE8",
|
|
"0",
|
|
"265EAEC7C2958FF69971846636B4195E905B0338672D20986FA6B8D62CF8068BBD02AAC9F8BF03C6C8A1CC354C69672C39E46CE7FDF222864D5B49FD2999A9B4389B1921CC9AD335144AB173595A07386DABFD2A0C614AA0A9F3CF14870F026AA7E535ABD5A5C7C7FF38FA08E2615F6C203177C42B1EB3A1D99B601EBFAA17FB",
|
|
"53FC09EE332C29AD0A7990053ED9B52A2B1A2FD60AEC69C698B2F204B6FF7CBFB5EDB6C0F6CE2308AB10DB9030B09E1043D5F22CDB9DFA55718BD9E7406CE8909760AF765DD5BCCB337C86548B72F2E1A702C3397A60DE74A7C1514DBA66910DD5CFB4CC80728D87EE9163A5B63F73EC80EC46C4967E0979880DC8ABEAE63895",
|
|
"0A8249063F6009F1F9F1F0533634A135D3E82016029906963D778D821E141178F5EA69F4654EC2B9E7F7F5E5F0DE55F66B598CCF9A140B2E416CFF0CA9E032B970DAE117AD547C6CCAD696B5B7652FE0AC6F1E80164AA989492D979FC5A4D5F213515AD7E9CB99A980BDAD5AD5BB4636ADB9B5706A67DCDE75573FD71BEF16D7",
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
NULL, 0,
|
|
#else
|
|
{0}, 0,
|
|
#endif
|
|
0,
|
|
4,
|
|
},
|
|
#endif
|
|
#if defined(WOLFSSL_CUSTOM_CURVES) && defined(ECC_CACHE_CURVE)
|
|
/* place holder for custom curve index for cache */
|
|
{
|
|
1, /* non-zero */
|
|
ECC_CURVE_CUSTOM,
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
|
|
#else
|
|
{0},{0},{0},{0},{0},{0},{0},{0},
|
|
#endif
|
|
0, 0, 0
|
|
},
|
|
#endif
|
|
{
|
|
0,
|
|
ECC_CURVE_INVALID,
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
|
|
#else
|
|
{0},{0},{0},{0},{0},{0},{0},{0},
|
|
#endif
|
|
0, 0, 0
|
|
}
|
|
};
|
|
#define ECC_SET_COUNT (sizeof(ecc_sets)/sizeof(ecc_set_type))
|
|
#if !defined(HAVE_FIPS) || FIPS_VERSION3_GE(6,0,0)
|
|
static
|
|
#endif
|
|
const size_t ecc_sets_count = ECC_SET_COUNT - 1;
|
|
|
|
const ecc_set_type *wc_ecc_get_sets(void) {
|
|
return ecc_sets;
|
|
}
|
|
size_t wc_ecc_get_sets_count(void) {
|
|
return ecc_sets_count;
|
|
}
|
|
|
|
#ifdef HAVE_OID_ENCODING
|
|
/* encoded OID cache */
|
|
typedef struct {
|
|
word32 oidSz;
|
|
byte oid[ECC_MAX_OID_LEN];
|
|
} oid_cache_t;
|
|
static oid_cache_t ecc_oid_cache[ECC_SET_COUNT];
|
|
|
|
static wolfSSL_Mutex ecc_oid_cache_lock
|
|
WOLFSSL_MUTEX_INITIALIZER_CLAUSE(ecc_oid_cache_lock);
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
static volatile int eccOidLockInit = 0;
|
|
#endif
|
|
#endif /* HAVE_OID_ENCODING */
|
|
|
|
/* Forward declarations */
|
|
#if defined(HAVE_COMP_KEY) && defined(HAVE_ECC_KEY_EXPORT)
|
|
static int wc_ecc_export_x963_compressed(ecc_key* key, byte* out, word32* outLen);
|
|
#endif
|
|
#if defined(HAVE_ECC_CHECK_PUBKEY_ORDER) && !defined(WOLFSSL_SP_MATH)
|
|
static int ecc_check_pubkey_order(ecc_key* key, ecc_point* pubkey, mp_int* a,
|
|
mp_int* prime, mp_int* order);
|
|
#endif
|
|
static int _ecc_validate_public_key(ecc_key* key, int partial, int priv);
|
|
#if (FIPS_VERSION_GE(5,0) || defined(WOLFSSL_VALIDATE_ECC_KEYGEN)) && \
|
|
!defined(WOLFSSL_KCAPI_ECC)
|
|
static int _ecc_pairwise_consistency_test(ecc_key* key, WC_RNG* rng);
|
|
#endif
|
|
|
|
|
|
#ifdef HAVE_COMP_KEY
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
#ifndef WOLFSSL_SP_MATH
|
|
#if !defined(SQRTMOD_USE_MOD_EXP)
|
|
static int mp_jacobi(mp_int* a, mp_int* n, int* c);
|
|
#endif
|
|
static int mp_sqrtmod_prime(mp_int* n, mp_int* prime, mp_int* ret);
|
|
#endif
|
|
#endif
|
|
#endif
|
|
|
|
|
|
/* Curve Specs */
|
|
typedef struct ecc_curve_spec {
|
|
const ecc_set_type* dp;
|
|
|
|
mp_int* prime;
|
|
mp_int* Af;
|
|
#ifdef USE_ECC_B_PARAM
|
|
mp_int* Bf;
|
|
#endif
|
|
mp_int* order;
|
|
mp_int* Gx;
|
|
mp_int* Gy;
|
|
|
|
#ifdef ECC_CACHE_CURVE
|
|
mp_int prime_lcl;
|
|
mp_int Af_lcl;
|
|
#ifdef USE_ECC_B_PARAM
|
|
mp_int Bf_lcl;
|
|
#endif
|
|
mp_int order_lcl;
|
|
mp_int Gx_lcl;
|
|
mp_int Gy_lcl;
|
|
#else
|
|
#ifdef WOLFSSL_SP_MATH_ALL
|
|
unsigned char* spec_ints;
|
|
#else
|
|
mp_int* spec_ints;
|
|
#endif
|
|
word32 spec_count;
|
|
word32 spec_use;
|
|
#endif
|
|
|
|
byte load_mask;
|
|
} ecc_curve_spec;
|
|
|
|
#define ECC_CURVE_FIELD_NONE 0x00
|
|
#define ECC_CURVE_FIELD_PRIME 0x01
|
|
#define ECC_CURVE_FIELD_AF 0x02
|
|
#ifdef USE_ECC_B_PARAM
|
|
#define ECC_CURVE_FIELD_BF 0x04
|
|
#endif
|
|
#define ECC_CURVE_FIELD_ORDER 0x08
|
|
#define ECC_CURVE_FIELD_GX 0x10
|
|
#define ECC_CURVE_FIELD_GY 0x20
|
|
#ifdef USE_ECC_B_PARAM
|
|
#define ECC_CURVE_FIELD_ALL 0x3F
|
|
#define ECC_CURVE_FIELD_COUNT 6
|
|
#else
|
|
#define ECC_CURVE_FIELD_ALL 0x3B
|
|
#define ECC_CURVE_FIELD_COUNT 5
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
static const u32 xil_curve_type[ECC_CURVE_MAX] = {
|
|
[ECC_SECP384R1] = WOLFSSL_XSECURE_ECC_NIST_P384,
|
|
[ECC_SECP521R1] = WOLFSSL_XSECURE_ECC_NIST_P521,
|
|
};
|
|
|
|
static void buf_reverse(byte *outbuf, const byte *inbuf, word32 len)
|
|
{
|
|
word32 up, down;
|
|
up = 0;
|
|
down = len - 1;
|
|
while (up < len)
|
|
outbuf[up++] = inbuf[down--];
|
|
}
|
|
|
|
static int xil_mpi_import(mp_int *mpi,
|
|
const byte *inbuf,
|
|
word32 len,
|
|
void* heap)
|
|
{
|
|
int err;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* buf = NULL;
|
|
#else
|
|
byte buf[MAX_ECC_BYTES];
|
|
|
|
if (len > MAX_ECC_BYTES)
|
|
return BUFFER_E;
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
buf = (byte*)XMALLOC(len, heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
if (buf == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
buf_reverse(buf, inbuf, len);
|
|
|
|
err = mp_read_unsigned_bin(mpi, buf, len);
|
|
ForceZero(buf, len);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(buf, heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
#endif
|
|
return err;
|
|
}
|
|
#endif
|
|
|
|
#ifdef ECC_CACHE_CURVE
|
|
/* cache (mp_int) of the curve parameters */
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
static ecc_curve_spec ecc_curve_spec_cache[ECC_SET_COUNT];
|
|
#else
|
|
static ecc_curve_spec* ecc_curve_spec_cache[ECC_SET_COUNT];
|
|
#endif
|
|
#ifndef SINGLE_THREADED
|
|
static wolfSSL_Mutex ecc_curve_cache_mutex WOLFSSL_MUTEX_INITIALIZER_CLAUSE(ecc_curve_cache_mutex);
|
|
#endif
|
|
|
|
#define DECLARE_CURVE_SPECS(intcount) ecc_curve_spec* curve = NULL
|
|
#define ALLOC_CURVE_SPECS(intcount, err) (err) = MP_OKAY
|
|
#define FREE_CURVE_SPECS() WC_DO_NOTHING
|
|
#elif defined(WOLFSSL_SMALL_STACK)
|
|
#ifdef WOLFSSL_SP_MATH_ALL
|
|
#define DECLARE_CURVE_SPECS(intcount) \
|
|
unsigned char* spec_ints = NULL; \
|
|
ecc_curve_spec curve_lcl; \
|
|
ecc_curve_spec* curve = &curve_lcl; \
|
|
XMEMSET(curve, 0, sizeof(ecc_curve_spec)); \
|
|
curve->spec_count = intcount
|
|
|
|
#define ALLOC_CURVE_SPECS(intcount, err) \
|
|
do { \
|
|
spec_ints = (unsigned char*)XMALLOC(MP_INT_SIZEOF(MP_BITS_CNT( \
|
|
MAX_ECC_BITS_USE)) * (intcount), NULL, \
|
|
DYNAMIC_TYPE_ECC); \
|
|
if (spec_ints == NULL) \
|
|
(err) = MEMORY_E; \
|
|
else { \
|
|
curve->spec_ints = spec_ints; \
|
|
(err) = MP_OKAY; \
|
|
} \
|
|
} while (0)
|
|
#else
|
|
#define DECLARE_CURVE_SPECS(intcount) \
|
|
mp_int* spec_ints = NULL; \
|
|
ecc_curve_spec curve_lcl; \
|
|
ecc_curve_spec* curve = &curve_lcl; \
|
|
XMEMSET(curve, 0, sizeof(ecc_curve_spec)); \
|
|
curve->spec_count = intcount
|
|
|
|
#define ALLOC_CURVE_SPECS(intcount, err) \
|
|
do { \
|
|
spec_ints = (mp_int*)XMALLOC(sizeof(mp_int) * (intcount), NULL, \
|
|
DYNAMIC_TYPE_ECC); \
|
|
if (spec_ints == NULL) \
|
|
(err) = MEMORY_E; \
|
|
else { \
|
|
curve->spec_ints = spec_ints; \
|
|
(err) = MP_OKAY; \
|
|
} \
|
|
} while (0)
|
|
#endif
|
|
#define FREE_CURVE_SPECS() \
|
|
XFREE(spec_ints, NULL, DYNAMIC_TYPE_ECC)
|
|
#else
|
|
#ifdef WOLFSSL_SP_MATH_ALL
|
|
#define DECLARE_CURVE_SPECS(intcount) \
|
|
unsigned char spec_ints[MP_INT_SIZEOF(MP_BITS_CNT( \
|
|
MAX_ECC_BITS_USE)) * (intcount)]; \
|
|
ecc_curve_spec curve_lcl; \
|
|
ecc_curve_spec* curve = &curve_lcl; \
|
|
XMEMSET(curve, 0, sizeof(ecc_curve_spec)); \
|
|
curve->spec_ints = spec_ints; \
|
|
curve->spec_count = (intcount)
|
|
#else
|
|
#define DECLARE_CURVE_SPECS(intcount) \
|
|
mp_int spec_ints[(intcount)]; \
|
|
ecc_curve_spec curve_lcl; \
|
|
ecc_curve_spec* curve = &curve_lcl; \
|
|
XMEMSET(curve, 0, sizeof(ecc_curve_spec)); \
|
|
curve->spec_ints = spec_ints; \
|
|
curve->spec_count = (intcount)
|
|
#endif
|
|
#define ALLOC_CURVE_SPECS(intcount, err) (err) = MP_OKAY
|
|
#define FREE_CURVE_SPECS() WC_DO_NOTHING
|
|
#endif /* ECC_CACHE_CURVE */
|
|
|
|
static void wc_ecc_curve_cache_free_spec_item(ecc_curve_spec* curve, mp_int* item,
|
|
byte mask)
|
|
{
|
|
if (item) {
|
|
#ifdef HAVE_WOLF_BIGINT
|
|
wc_bigint_free(&item->raw);
|
|
#endif
|
|
mp_clear(item);
|
|
}
|
|
curve->load_mask = (byte)(curve->load_mask & ~mask);
|
|
}
|
|
static void wc_ecc_curve_cache_free_spec(ecc_curve_spec* curve)
|
|
{
|
|
if (curve == NULL) {
|
|
return;
|
|
}
|
|
|
|
if (curve->load_mask & ECC_CURVE_FIELD_PRIME)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->prime, ECC_CURVE_FIELD_PRIME);
|
|
if (curve->load_mask & ECC_CURVE_FIELD_AF)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->Af, ECC_CURVE_FIELD_AF);
|
|
#ifdef USE_ECC_B_PARAM
|
|
if (curve->load_mask & ECC_CURVE_FIELD_BF)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->Bf, ECC_CURVE_FIELD_BF);
|
|
#endif
|
|
if (curve->load_mask & ECC_CURVE_FIELD_ORDER)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->order, ECC_CURVE_FIELD_ORDER);
|
|
if (curve->load_mask & ECC_CURVE_FIELD_GX)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->Gx, ECC_CURVE_FIELD_GX);
|
|
if (curve->load_mask & ECC_CURVE_FIELD_GY)
|
|
wc_ecc_curve_cache_free_spec_item(curve, curve->Gy, ECC_CURVE_FIELD_GY);
|
|
|
|
curve->load_mask = 0;
|
|
}
|
|
|
|
static void wc_ecc_curve_free(ecc_curve_spec* curve)
|
|
{
|
|
if (curve) {
|
|
#ifdef ECC_CACHE_CURVE
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
/* only free custom curves (rest are globally cached) */
|
|
if (curve->dp && curve->dp->id == ECC_CURVE_CUSTOM) {
|
|
wc_ecc_curve_cache_free_spec(curve);
|
|
XFREE(curve, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
#endif
|
|
#else
|
|
wc_ecc_curve_cache_free_spec(curve);
|
|
#endif
|
|
}
|
|
}
|
|
|
|
static int wc_ecc_curve_cache_load_item(ecc_curve_spec* curve, const char* src,
|
|
mp_int** dst, byte mask)
|
|
{
|
|
int err;
|
|
|
|
#ifndef ECC_CACHE_CURVE
|
|
/* get mp_int from temp */
|
|
if (curve->spec_use >= curve->spec_count) {
|
|
WOLFSSL_MSG("Invalid DECLARE_CURVE_SPECS count");
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
#ifdef WOLFSSL_SP_MATH_ALL
|
|
*dst = (mp_int*)(curve->spec_ints + MP_INT_SIZEOF(MP_BITS_CNT(
|
|
MAX_ECC_BITS_USE)) * curve->spec_use++);
|
|
#else
|
|
*dst = &curve->spec_ints[curve->spec_use++];
|
|
#endif
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SP_MATH_ALL
|
|
err = mp_init_size(*dst, MP_BITS_CNT(MAX_ECC_BITS_USE));
|
|
#else
|
|
err = mp_init(*dst);
|
|
#endif
|
|
if (err == MP_OKAY) {
|
|
curve->load_mask |= mask;
|
|
|
|
err = mp_read_radix(*dst, src, MP_RADIX_HEX);
|
|
|
|
#ifdef HAVE_WOLF_BIGINT
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint(*dst, &(*dst)->raw);
|
|
#endif
|
|
}
|
|
return err;
|
|
}
|
|
|
|
static int wc_ecc_curve_load(const ecc_set_type* dp, ecc_curve_spec** pCurve,
|
|
byte load_mask)
|
|
{
|
|
int ret = 0;
|
|
ecc_curve_spec* curve;
|
|
byte load_items = 0; /* mask of items to load */
|
|
#ifdef ECC_CACHE_CURVE
|
|
int x;
|
|
#endif
|
|
|
|
if (dp == NULL || pCurve == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
#ifdef ECC_CACHE_CURVE
|
|
x = wc_ecc_get_curve_idx(dp->id);
|
|
if (x == ECC_CURVE_INVALID)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
#if !defined(SINGLE_THREADED)
|
|
ret = wc_LockMutex(&ecc_curve_cache_mutex);
|
|
if (ret != 0) {
|
|
return ret;
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
curve = &ecc_curve_spec_cache[x];
|
|
#else
|
|
/* make sure cache has been allocated */
|
|
if (ecc_curve_spec_cache[x] == NULL
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
|| dp->id == ECC_CURVE_CUSTOM
|
|
#endif
|
|
) {
|
|
curve = (ecc_curve_spec*)XMALLOC(sizeof(ecc_curve_spec), NULL, DYNAMIC_TYPE_ECC);
|
|
if (curve == NULL) {
|
|
#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED)
|
|
wc_UnLockMutex(&ecc_curve_cache_mutex);
|
|
#endif
|
|
return MEMORY_E;
|
|
}
|
|
XMEMSET(curve, 0, sizeof(ecc_curve_spec));
|
|
|
|
/* set curve pointer to cache */
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
if (dp->id != ECC_CURVE_CUSTOM)
|
|
#endif
|
|
{
|
|
ecc_curve_spec_cache[x] = curve;
|
|
}
|
|
}
|
|
else {
|
|
curve = ecc_curve_spec_cache[x];
|
|
}
|
|
#endif /* WOLFSSL_NO_MALLOC */
|
|
|
|
/* return new or cached curve */
|
|
*pCurve = curve;
|
|
#else
|
|
curve = *pCurve;
|
|
#endif /* ECC_CACHE_CURVE */
|
|
|
|
/* make sure the curve is initialized */
|
|
if (curve->dp != dp) {
|
|
curve->load_mask = 0;
|
|
|
|
#ifdef ECC_CACHE_CURVE
|
|
curve->prime = &curve->prime_lcl;
|
|
curve->Af = &curve->Af_lcl;
|
|
#ifdef USE_ECC_B_PARAM
|
|
curve->Bf = &curve->Bf_lcl;
|
|
#endif
|
|
curve->order = &curve->order_lcl;
|
|
curve->Gx = &curve->Gx_lcl;
|
|
curve->Gy = &curve->Gy_lcl;
|
|
#endif
|
|
}
|
|
curve->dp = dp; /* set dp info */
|
|
|
|
/* determine items to load */
|
|
load_items = (byte)(((byte)~(word32)curve->load_mask) & load_mask);
|
|
curve->load_mask |= load_items;
|
|
|
|
/* load items */
|
|
if (load_items & ECC_CURVE_FIELD_PRIME)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->prime, &curve->prime,
|
|
ECC_CURVE_FIELD_PRIME);
|
|
if (load_items & ECC_CURVE_FIELD_AF)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->Af, &curve->Af,
|
|
ECC_CURVE_FIELD_AF);
|
|
#ifdef USE_ECC_B_PARAM
|
|
if (load_items & ECC_CURVE_FIELD_BF)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->Bf, &curve->Bf,
|
|
ECC_CURVE_FIELD_BF);
|
|
#endif
|
|
if (load_items & ECC_CURVE_FIELD_ORDER)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->order, &curve->order,
|
|
ECC_CURVE_FIELD_ORDER);
|
|
if (load_items & ECC_CURVE_FIELD_GX)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->Gx, &curve->Gx,
|
|
ECC_CURVE_FIELD_GX);
|
|
if (load_items & ECC_CURVE_FIELD_GY)
|
|
ret += wc_ecc_curve_cache_load_item(curve, dp->Gy, &curve->Gy,
|
|
ECC_CURVE_FIELD_GY);
|
|
|
|
/* check for error */
|
|
if (ret != 0) {
|
|
wc_ecc_curve_free(curve);
|
|
ret = MP_READ_E;
|
|
}
|
|
|
|
#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED)
|
|
wc_UnLockMutex(&ecc_curve_cache_mutex);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
#ifdef ECC_CACHE_CURVE
|
|
int wc_ecc_curve_cache_init(void)
|
|
{
|
|
int ret = 0;
|
|
#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED) && \
|
|
!defined(WOLFSSL_MUTEX_INITIALIZER)
|
|
ret = wc_InitMutex(&ecc_curve_cache_mutex);
|
|
#endif
|
|
return ret;
|
|
}
|
|
|
|
void wc_ecc_curve_cache_free(void)
|
|
{
|
|
int x;
|
|
|
|
/* free all ECC curve caches */
|
|
for (x = 0; x < (int)ECC_SET_COUNT; x++) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
wc_ecc_curve_cache_free_spec(&ecc_curve_spec_cache[x]);
|
|
XMEMSET(&ecc_curve_spec_cache[x], 0, sizeof(ecc_curve_spec_cache[x]));
|
|
#else
|
|
if (ecc_curve_spec_cache[x]) {
|
|
wc_ecc_curve_cache_free_spec(ecc_curve_spec_cache[x]);
|
|
XFREE(ecc_curve_spec_cache[x], NULL, DYNAMIC_TYPE_ECC);
|
|
ecc_curve_spec_cache[x] = NULL;
|
|
}
|
|
#endif /* WOLFSSL_NO_MALLOC */
|
|
}
|
|
|
|
#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED) && \
|
|
!defined(WOLFSSL_MUTEX_INITIALIZER)
|
|
wc_FreeMutex(&ecc_curve_cache_mutex);
|
|
#endif
|
|
}
|
|
#endif /* ECC_CACHE_CURVE */
|
|
|
|
|
|
/* Retrieve the curve name for the ECC curve id.
|
|
*
|
|
* curve_id The id of the curve.
|
|
* returns the name stored from the curve if available, otherwise NULL.
|
|
*/
|
|
const char* wc_ecc_get_name(int curve_id)
|
|
{
|
|
int curve_idx = wc_ecc_get_curve_idx(curve_id);
|
|
if (curve_idx == ECC_CURVE_INVALID)
|
|
return NULL;
|
|
return ecc_sets[curve_idx].name;
|
|
}
|
|
|
|
int wc_ecc_set_curve(ecc_key* key, int keysize, int curve_id)
|
|
{
|
|
if (key == NULL || (keysize <= 0 && curve_id < 0)) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
if (keysize > ECC_MAXSIZE) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* handle custom case */
|
|
if (key->idx != ECC_CUSTOM_IDX) {
|
|
int x;
|
|
|
|
/* default values */
|
|
key->idx = 0;
|
|
key->dp = NULL;
|
|
|
|
/* find ecc_set based on curve_id or key size */
|
|
for (x = 0; ecc_sets[x].size != 0; x++) {
|
|
if (curve_id > ECC_CURVE_DEF) {
|
|
if (curve_id == ecc_sets[x].id)
|
|
break;
|
|
}
|
|
else if (keysize <= ecc_sets[x].size) {
|
|
break;
|
|
}
|
|
}
|
|
if (ecc_sets[x].size == 0) {
|
|
WOLFSSL_MSG("ECC Curve not found");
|
|
return ECC_CURVE_OID_E;
|
|
}
|
|
|
|
key->idx = x;
|
|
key->dp = &ecc_sets[x];
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
static void alt_fp_init(mp_int* a)
|
|
{
|
|
a->size = FP_SIZE_ECC;
|
|
mp_zero(a);
|
|
}
|
|
#endif /* ALT_ECC_SIZE */
|
|
|
|
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL) && \
|
|
(!defined(WOLF_CRYPTO_CB_ONLY_ECC) || defined(WOLFSSL_QNX_CAAM) || \
|
|
defined(WOLFSSL_IMXRT1170_CAAM))
|
|
|
|
#if !defined(WOLFSSL_SP_MATH) || defined(WOLFSSL_PUBLIC_ECC_ADD_DBL)
|
|
static int _ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp);
|
|
|
|
/**
|
|
Add two ECC points
|
|
P The point to add
|
|
Q The point to add
|
|
R [out] The destination of the double
|
|
a ECC curve parameter a
|
|
modulus The modulus of the field the ECC curve is in
|
|
mp The "b" value from montgomery_setup()
|
|
return MP_OKAY on success
|
|
*/
|
|
static int _ecc_projective_add_point(ecc_point* P, ecc_point* Q, ecc_point* R,
|
|
mp_int* a, mp_int* modulus, mp_digit mp)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
DECL_MP_INT_SIZE_DYN(t1, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(t2, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#ifdef ALT_ECC_SIZE
|
|
DECL_MP_INT_SIZE_DYN(rx, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(ry, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(rz, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#endif
|
|
mp_int *x, *y, *z;
|
|
int err;
|
|
|
|
/* if Q == R then swap P and Q, so we don't require a local x,y,z */
|
|
if (Q == R) {
|
|
ecc_point* tPt = P;
|
|
P = Q;
|
|
Q = tPt;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key != NULL) {
|
|
t1 = R->key->t1;
|
|
t2 = R->key->t2;
|
|
#ifdef ALT_ECC_SIZE
|
|
rx = R->key->x;
|
|
ry = R->key->y;
|
|
rz = R->key->z;
|
|
#endif
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
#endif /* WOLFSSL_SMALL_STACK */
|
|
{
|
|
NEW_MP_INT_SIZE(t1, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(t2, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (t1 == NULL || t2 == NULL) {
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#ifdef ALT_ECC_SIZE
|
|
NEW_MP_INT_SIZE(rx, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(ry, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(rz, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (rx == NULL || ry == NULL || rz == NULL) {
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
err = INIT_MP_INT_SIZE(t1, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(t2, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
return err;
|
|
}
|
|
|
|
/* should we dbl instead? */
|
|
if (err == MP_OKAY) {
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
err = mp_submod_ct(modulus, Q->y, modulus, t1);
|
|
#else
|
|
err = mp_sub(modulus, Q->y, t1);
|
|
#endif
|
|
}
|
|
if (err == MP_OKAY) {
|
|
if ( (mp_cmp(P->x, Q->x) == MP_EQ) &&
|
|
(mp_get_digit_count(Q->z) && mp_cmp(P->z, Q->z) == MP_EQ) &&
|
|
(mp_cmp(P->y, Q->y) == MP_EQ || mp_cmp(P->y, t1) == MP_EQ)) {
|
|
mp_clear(t1);
|
|
mp_clear(t2);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
return _ecc_projective_dbl_point(P, R, a, modulus, mp);
|
|
}
|
|
}
|
|
|
|
if (err != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
/* If use ALT_ECC_SIZE we need to use local stack variable since
|
|
ecc_point x,y,z is reduced size */
|
|
#ifdef ALT_ECC_SIZE
|
|
/* Use local stack variable */
|
|
x = rx;
|
|
y = ry;
|
|
z = rz;
|
|
|
|
err = INIT_MP_INT_SIZE(x, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(y, mp_bitsused(modulus));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(z, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
#else
|
|
/* Use destination directly */
|
|
x = R->x;
|
|
y = R->y;
|
|
z = R->z;
|
|
#endif
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, z);
|
|
|
|
/* if Z is one then these are no-operations */
|
|
if (err == MP_OKAY) {
|
|
if (!mp_iszero(Q->z)) {
|
|
/* T1 = Z' * Z' */
|
|
err = mp_sqr(Q->z, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* X = X * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, x, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(x, modulus, mp);
|
|
|
|
/* T1 = Z' * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(Q->z, t1, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* Y = Y * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, y, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(y, modulus, mp);
|
|
}
|
|
}
|
|
|
|
/* T1 = Z*Z */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(z, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* T2 = X' * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(Q->x, t1, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
|
|
/* T1 = Z * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(z, t1, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* T1 = Y' * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(Q->y, t1, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* Y = Y - T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(y, t1, modulus, y);
|
|
/* T1 = 2T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t1, modulus, t1);
|
|
/* T1 = Y + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, y, modulus, t1);
|
|
/* X = X - T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(x, t2, modulus, x);
|
|
/* T2 = 2T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t2, t2, modulus, t2);
|
|
/* T2 = X + T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t2, x, modulus, t2);
|
|
|
|
if (err == MP_OKAY) {
|
|
if (!mp_iszero(Q->z)) {
|
|
/* Z = Z * Z' */
|
|
err = mp_mul(z, Q->z, z);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(z, modulus, mp);
|
|
}
|
|
}
|
|
|
|
/* Z = Z * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(z, x, z);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(z, modulus, mp);
|
|
|
|
/* T1 = T1 * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* X = X * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(x, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(x, modulus, mp);
|
|
|
|
/* T2 = T2 * x */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t2, x, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
|
|
/* T1 = T1 * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* X = Y*Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(y, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(x, modulus, mp);
|
|
|
|
/* X = X - T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(x, t2, modulus, x);
|
|
/* T2 = T2 - X */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(t2, x, modulus, t2);
|
|
/* T2 = T2 - X */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(t2, x, modulus, t2);
|
|
/* T2 = T2 * Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t2, y, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
|
|
/* Y = T2 - T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(t2, t1, modulus, y);
|
|
/* Y = Y/2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_div_2_mod_ct(y, modulus, y);
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(x, R->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(y, R->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(z, R->z);
|
|
#endif
|
|
|
|
done:
|
|
|
|
/* clean up */
|
|
mp_clear(t1);
|
|
mp_clear(t2);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
|
|
return err;
|
|
#else
|
|
int modBits = mp_count_bits(modulus);
|
|
|
|
(void)a;
|
|
(void)mp;
|
|
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((modBits == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
return sp_ecc_proj_add_point_sm2_256(P->x, P->y, P->z, Q->x, Q->y, Q->z,
|
|
R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (modBits == 256) {
|
|
return sp_ecc_proj_add_point_256(P->x, P->y, P->z, Q->x, Q->y, Q->z,
|
|
R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (modBits == 384) {
|
|
return sp_ecc_proj_add_point_384(P->x, P->y, P->z, Q->x, Q->y, Q->z,
|
|
R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (modBits == 521) {
|
|
return sp_ecc_proj_add_point_521(P->x, P->y, P->z, Q->x, Q->y, Q->z,
|
|
R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
return ECC_BAD_ARG_E;
|
|
#endif
|
|
}
|
|
|
|
int ecc_projective_add_point(ecc_point* P, ecc_point* Q, ecc_point* R,
|
|
mp_int* a, mp_int* modulus, mp_digit mp)
|
|
{
|
|
if (P == NULL || Q == NULL || R == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
if (mp_cmp(P->x, modulus) != MP_LT ||
|
|
mp_cmp(P->y, modulus) != MP_LT ||
|
|
mp_cmp(P->z, modulus) != MP_LT ||
|
|
mp_cmp(Q->x, modulus) != MP_LT ||
|
|
mp_cmp(Q->y, modulus) != MP_LT ||
|
|
mp_cmp(Q->z, modulus) != MP_LT) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
|
|
return _ecc_projective_add_point(P, Q, R, a, modulus, mp);
|
|
}
|
|
|
|
/* ### Point doubling in Jacobian coordinate system ###
|
|
*
|
|
* let us have a curve: y^2 = x^3 + a*x + b
|
|
* in Jacobian coordinates it becomes: y^2 = x^3 + a*x*z^4 + b*z^6
|
|
*
|
|
* The doubling of P = (Xp, Yp, Zp) is given by R = (Xr, Yr, Zr) where:
|
|
* Xr = M^2 - 2*S
|
|
* Yr = M * (S - Xr) - 8*T
|
|
* Zr = 2 * Yp * Zp
|
|
*
|
|
* M = 3 * Xp^2 + a*Zp^4
|
|
* T = Yp^4
|
|
* S = 4 * Xp * Yp^2
|
|
*
|
|
* SPECIAL CASE: when a == 3 we can compute M as
|
|
* M = 3 * (Xp^2 - Zp^4) = 3 * (Xp + Zp^2) * (Xp - Zp^2)
|
|
*/
|
|
|
|
/**
|
|
Double an ECC point
|
|
P The point to double
|
|
R [out] The destination of the double
|
|
a ECC curve parameter a
|
|
modulus The modulus of the field the ECC curve is in
|
|
mp The "b" value from montgomery_setup()
|
|
return MP_OKAY on success
|
|
*/
|
|
static int _ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
DECL_MP_INT_SIZE_DYN(t1, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(t2, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#ifdef ALT_ECC_SIZE
|
|
DECL_MP_INT_SIZE_DYN(rx, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(ry, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(rz, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#endif
|
|
mp_int *x, *y, *z;
|
|
int err;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key != NULL) {
|
|
t1 = R->key->t1;
|
|
t2 = R->key->t2;
|
|
#ifdef ALT_ECC_SIZE
|
|
rx = R->key->x;
|
|
ry = R->key->y;
|
|
rz = R->key->z;
|
|
#endif
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
#endif
|
|
{
|
|
NEW_MP_INT_SIZE(t1, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(t2, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (t1 == NULL || t2 == NULL) {
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#ifdef ALT_ECC_SIZE
|
|
NEW_MP_INT_SIZE(rx, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(ry, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(rz, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (rx == NULL || ry == NULL || rz == NULL) {
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
err = INIT_MP_INT_SIZE(t1, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(t2, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
return err;
|
|
}
|
|
|
|
/* If use ALT_ECC_SIZE we need to use local stack variable since
|
|
ecc_point x,y,z is reduced size */
|
|
#ifdef ALT_ECC_SIZE
|
|
/* Use local stack variable */
|
|
x = rx;
|
|
y = ry;
|
|
z = rz;
|
|
|
|
err = INIT_MP_INT_SIZE(x, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(y, mp_bitsused(modulus));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(z, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
return err;
|
|
}
|
|
#else
|
|
/* Use destination directly */
|
|
x = R->x;
|
|
y = R->y;
|
|
z = R->z;
|
|
#endif
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, z);
|
|
|
|
/* T1 = Z * Z */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(z, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
|
|
/* Z = Y * Z */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(z, y, z);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(z, modulus, mp);
|
|
|
|
/* Z = 2Z */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(z, z, modulus, z);
|
|
|
|
/* Determine if curve "a" should be used in calc */
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
if (err == MP_OKAY) {
|
|
/* Use a and prime to determine if a == 3 */
|
|
err = mp_submod(modulus, a, modulus, t2);
|
|
}
|
|
if (err == MP_OKAY && mp_iszero((MP_INT_SIZE*)t2)) {
|
|
/* T2 = X * X */
|
|
err = mp_sqr(x, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
/* T1 = T2 + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t2, t2, modulus, t1);
|
|
/* T1 = T2 + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t2, modulus, t1);
|
|
}
|
|
else if (err == MP_OKAY && mp_cmp_d(t2, 3) != MP_EQ) {
|
|
/* use "a" in calc */
|
|
|
|
/* T2 = T1 * T1 */
|
|
err = mp_sqr(t1, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
/* T1 = T2 * a */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(t2, a, modulus, t1);
|
|
/* T2 = X * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(x, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
/* T1 = T2 + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t2, modulus, t1);
|
|
/* T1 = T2 + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t2, modulus, t1);
|
|
/* T1 = T2 + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t2, modulus, t1);
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_CUSTOM_CURVES */
|
|
{
|
|
/* assumes "a" == 3 */
|
|
(void)a;
|
|
|
|
/* T2 = X - T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(x, t1, modulus, t2);
|
|
/* T1 = X + T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, x, modulus, t1);
|
|
/* T2 = T1 * T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, t2, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
|
|
/* T1 = 2T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t2, t2, modulus, t1);
|
|
/* T1 = T1 + T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(t1, t2, modulus, t1);
|
|
}
|
|
|
|
/* Y = 2Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod_ct(y, y, modulus, y);
|
|
/* Y = Y * Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(y, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(y, modulus, mp);
|
|
|
|
/* T2 = Y * Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(y, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t2, modulus, mp);
|
|
|
|
/* T2 = T2/2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_div_2_mod_ct(t2, modulus, t2);
|
|
|
|
/* Y = Y * X */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(y, x, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(y, modulus, mp);
|
|
|
|
/* X = T1 * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(t1, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(x, modulus, mp);
|
|
|
|
/* X = X - Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(x, y, modulus, x);
|
|
/* X = X - Y */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(x, y, modulus, x);
|
|
|
|
/* Y = Y - X */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(y, x, modulus, y);
|
|
/* Y = Y * T1 */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(y, t1, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(y, modulus, mp);
|
|
|
|
/* Y = Y - T2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod_ct(y, t2, modulus, y);
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(x, R->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(y, R->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(z, R->z);
|
|
#endif
|
|
|
|
/* clean up */
|
|
mp_clear(t1);
|
|
mp_clear(t2);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (R->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
|
|
return err;
|
|
#else
|
|
int modBits = mp_count_bits(modulus);
|
|
|
|
(void)a;
|
|
(void)mp;
|
|
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((modBits == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
return sp_ecc_proj_dbl_point_sm2_256(P->x, P->y, P->z, R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (modBits == 256) {
|
|
return sp_ecc_proj_dbl_point_256(P->x, P->y, P->z, R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (modBits == 384) {
|
|
return sp_ecc_proj_dbl_point_384(P->x, P->y, P->z, R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (modBits == 521) {
|
|
return sp_ecc_proj_dbl_point_521(P->x, P->y, P->z, R->x, R->y, R->z);
|
|
}
|
|
#endif
|
|
return ECC_BAD_ARG_E;
|
|
#endif
|
|
}
|
|
|
|
int ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp)
|
|
{
|
|
if (P == NULL || R == NULL || modulus == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
if (mp_cmp(P->x, modulus) != MP_LT ||
|
|
mp_cmp(P->y, modulus) != MP_LT ||
|
|
mp_cmp(P->z, modulus) != MP_LT) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
|
|
return _ecc_projective_dbl_point(P, R, a, modulus, mp);
|
|
}
|
|
|
|
#if !defined(FREESCALE_LTC_ECC) && !defined(WOLFSSL_STM32_PKA) && \
|
|
!defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
|
|
/**
|
|
Map a projective Jacobian point back to affine space
|
|
P [in/out] The point to map
|
|
modulus The modulus of the field the ECC curve is in
|
|
mp The "b" value from montgomery_setup()
|
|
ct Operation should be constant time.
|
|
return MP_OKAY on success
|
|
*/
|
|
int ecc_map_ex(ecc_point* P, mp_int* modulus, mp_digit mp, int ct)
|
|
{
|
|
int err = MP_OKAY;
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
DECL_MP_INT_SIZE_DYN(t1, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(t2, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#ifdef ALT_ECC_SIZE
|
|
DECL_MP_INT_SIZE_DYN(rx, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(ry, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(rz, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
#endif
|
|
mp_int *x, *y, *z;
|
|
|
|
(void)ct;
|
|
|
|
if (P == NULL || modulus == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
/* special case for point at infinity */
|
|
if (mp_cmp_d(P->z, 0) == MP_EQ) {
|
|
err = mp_set(P->x, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(P->y, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(P->z, 1);
|
|
return err;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (P->key != NULL) {
|
|
t1 = P->key->t1;
|
|
t2 = P->key->t2;
|
|
#ifdef ALT_ECC_SIZE
|
|
rx = P->key->x;
|
|
ry = P->key->y;
|
|
rz = P->key->z;
|
|
#endif
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
#endif
|
|
{
|
|
NEW_MP_INT_SIZE(t1, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(t2, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (t1 == NULL || t2 == NULL) {
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#ifdef ALT_ECC_SIZE
|
|
NEW_MP_INT_SIZE(rx, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(ry, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(rz, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (rx == NULL || ry == NULL || rz == NULL) {
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
err = INIT_MP_INT_SIZE(t1, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(t2, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (P->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
return MEMORY_E;
|
|
}
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
/* Use local stack variable */
|
|
x = rx;
|
|
y = ry;
|
|
z = rz;
|
|
|
|
err = INIT_MP_INT_SIZE(x, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(y, mp_bitsused(modulus));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(z, mp_bitsused(modulus));
|
|
}
|
|
if (err != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, z);
|
|
|
|
if (err != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
#else
|
|
/* Use destination directly */
|
|
x = P->x;
|
|
y = P->y;
|
|
z = P->z;
|
|
#endif
|
|
|
|
/* get 1/z */
|
|
if (err == MP_OKAY) {
|
|
#if defined(ECC_TIMING_RESISTANT) && (defined(USE_FAST_MATH) || \
|
|
defined(WOLFSSL_SP_MATH) || defined(WOLFSSL_SP_MATH_ALL))
|
|
if (ct) {
|
|
err = mp_invmod_mont_ct(z, modulus, t1, mp);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(t1, modulus, mp);
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
/* first map z back to normal */
|
|
err = mp_montgomery_reduce(z, modulus, mp);
|
|
if (err == MP_OKAY)
|
|
err = mp_invmod(z, modulus, t1);
|
|
}
|
|
}
|
|
|
|
/* get 1/z^2 and 1/z^3 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(t1, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_mod(t2, modulus, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(t1, t2, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_mod(t1, modulus, t1);
|
|
|
|
/* multiply against x/y */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(x, t2, x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(x, modulus, mp);
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(y, t1, y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(y, modulus, mp);
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_set(z, 1);
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
/* return result */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(x, P->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(y, P->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(z, P->z);
|
|
|
|
done:
|
|
#endif
|
|
|
|
/* clean up */
|
|
mp_clear(t1);
|
|
mp_clear(t2);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (P->key == NULL)
|
|
#endif
|
|
#endif
|
|
{
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(rz, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(ry, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(rx, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
}
|
|
|
|
return err;
|
|
/* end !defined(WOLFSSL_SP_MATH) */
|
|
|
|
#else
|
|
/* begin defined(WOLFSSL_SP_MATH) */
|
|
if (P == NULL || modulus == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
(void)mp;
|
|
(void)ct;
|
|
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(modulus) == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
err = sp_ecc_map_sm2_256(P->x, P->y, P->z);
|
|
}
|
|
#elif !defined(WOLFSSL_SP_NO_256)
|
|
if (mp_count_bits(modulus) == 256) {
|
|
err = sp_ecc_map_256(P->x, P->y, P->z);
|
|
}
|
|
#elif defined(WOLFSSL_SP_384)
|
|
if (mp_count_bits(modulus) == 384) {
|
|
err = sp_ecc_map_384(P->x, P->y, P->z);
|
|
}
|
|
#elif defined(WOLFSSL_SP_521)
|
|
if (mp_count_bits(modulus) == 521) {
|
|
err = sp_ecc_map_521(P->x, P->y, P->z);
|
|
}
|
|
#else
|
|
err = ECC_BAD_ARG_E;
|
|
#endif
|
|
|
|
WOLFSSL_LEAVE("ecc_map_ex (SP Math)", err);
|
|
return err;
|
|
#endif /* WOLFSSL_SP_MATH */
|
|
}
|
|
#endif /* !FREESCALE_LTC_ECC && !WOLFSSL_STM32_PKA */
|
|
|
|
int ecc_map(ecc_point* P, mp_int* modulus, mp_digit mp)
|
|
{
|
|
return ecc_map_ex(P, modulus, mp, 0);
|
|
}
|
|
#endif /* !WOLFSSL_SP_MATH || WOLFSSL_PUBLIC_ECC_ADD_DBL */
|
|
|
|
#if !defined(FREESCALE_LTC_ECC) && !defined(WOLFSSL_STM32_PKA) && \
|
|
!defined(WOLFSSL_CRYPTOCELL)
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
|
|
#ifndef ECC_TIMING_RESISTANT
|
|
|
|
/* size of sliding window, don't change this! */
|
|
#define WINSIZE 4
|
|
#define M_POINTS 8
|
|
|
|
static int ecc_mulmod(const mp_int* k, ecc_point* tG, ecc_point* R,
|
|
ecc_point** M, mp_int* a, mp_int* modulus, mp_digit mp, WC_RNG* rng)
|
|
{
|
|
int err = MP_OKAY;
|
|
int i;
|
|
int first = 1, bitbuf = 0, bitcpy = 0, j;
|
|
int bitcnt = 0, mode = 0, digidx = 0;
|
|
mp_digit buf;
|
|
int infinity;
|
|
|
|
(void)rng;
|
|
|
|
/* calc the M tab, which holds kG for k==8..15 */
|
|
/* M[0] == 8G */
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(tG, M[0], a, modulus, mp);
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(M[0], M[0], a, modulus, mp);
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(M[0], M[0], a, modulus, mp);
|
|
|
|
/* now find (8+k)G for k=1..7 */
|
|
if (err == MP_OKAY)
|
|
for (j = 9; j < 16; j++) {
|
|
err = ecc_projective_add_point_safe(M[j-9], tG, M[j-M_POINTS], a,
|
|
modulus, mp, &infinity);
|
|
if (err != MP_OKAY) break;
|
|
}
|
|
|
|
/* setup sliding window */
|
|
if (err == MP_OKAY) {
|
|
mode = 0;
|
|
bitcnt = 1;
|
|
buf = 0;
|
|
digidx = mp_get_digit_count(k) - 1;
|
|
bitcpy = bitbuf = 0;
|
|
first = 1;
|
|
|
|
/* perform ops */
|
|
for (;;) {
|
|
/* grab next digit as required */
|
|
if (--bitcnt == 0) {
|
|
if (digidx == -1) {
|
|
break;
|
|
}
|
|
buf = mp_get_digit(k, digidx);
|
|
bitcnt = (int) DIGIT_BIT;
|
|
--digidx;
|
|
}
|
|
|
|
/* grab the next msb from the ltiplicand */
|
|
i = (int)(buf >> (DIGIT_BIT - 1)) & 1;
|
|
buf <<= 1;
|
|
|
|
/* skip leading zero bits */
|
|
if (mode == 0 && i == 0)
|
|
continue;
|
|
|
|
/* if the bit is zero and mode == 1 then we double */
|
|
if (mode == 1 && i == 0) {
|
|
err = ecc_projective_dbl_point_safe(R, R, a, modulus, mp);
|
|
if (err != MP_OKAY) break;
|
|
continue;
|
|
}
|
|
|
|
/* else we add it to the window */
|
|
bitbuf |= (i << (WINSIZE - ++bitcpy));
|
|
mode = 2;
|
|
|
|
if (bitcpy == WINSIZE) {
|
|
/* if this is the first window we do a simple copy */
|
|
if (first == 1) {
|
|
/* R = kG [k = first window] */
|
|
err = mp_copy(M[bitbuf-M_POINTS]->x, R->x);
|
|
if (err != MP_OKAY) break;
|
|
|
|
err = mp_copy(M[bitbuf-M_POINTS]->y, R->y);
|
|
if (err != MP_OKAY) break;
|
|
|
|
err = mp_copy(M[bitbuf-M_POINTS]->z, R->z);
|
|
first = 0;
|
|
} else {
|
|
/* normal window */
|
|
/* ok window is filled so double as required and add */
|
|
/* double first */
|
|
for (j = 0; j < WINSIZE; j++) {
|
|
err = ecc_projective_dbl_point_safe(R, R, a, modulus,
|
|
mp);
|
|
if (err != MP_OKAY) break;
|
|
}
|
|
if (err != MP_OKAY) break; /* out of first for(;;) */
|
|
|
|
/* now add, bitbuf will be 8..15 [8..2^WINSIZE] guaranteed */
|
|
err = ecc_projective_add_point_safe(R, M[bitbuf-M_POINTS], R,
|
|
a, modulus, mp, &infinity);
|
|
}
|
|
if (err != MP_OKAY) break;
|
|
/* empty window and reset */
|
|
bitcpy = bitbuf = 0;
|
|
mode = 1;
|
|
}
|
|
}
|
|
}
|
|
|
|
/* if bits remain then double/add */
|
|
if (err == MP_OKAY) {
|
|
if (mode == 2 && bitcpy > 0) {
|
|
/* double then add */
|
|
for (j = 0; j < bitcpy; j++) {
|
|
/* only double if we have had at least one add first */
|
|
if (first == 0) {
|
|
err = ecc_projective_dbl_point_safe(R, R, a, modulus, mp);
|
|
if (err != MP_OKAY) break;
|
|
}
|
|
|
|
bitbuf <<= 1;
|
|
if ((bitbuf & (1 << WINSIZE)) != 0) {
|
|
if (first == 1) {
|
|
/* first add, so copy */
|
|
err = mp_copy(tG->x, R->x);
|
|
if (err != MP_OKAY) break;
|
|
|
|
err = mp_copy(tG->y, R->y);
|
|
if (err != MP_OKAY) break;
|
|
|
|
err = mp_copy(tG->z, R->z);
|
|
if (err != MP_OKAY) break;
|
|
first = 0;
|
|
} else {
|
|
/* then add */
|
|
err = ecc_projective_add_point_safe(R, tG, R, a, modulus,
|
|
mp, &infinity);
|
|
if (err != MP_OKAY) break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#undef WINSIZE
|
|
|
|
return err;
|
|
}
|
|
|
|
#else
|
|
|
|
static int wc_ecc_gen_z(WC_RNG* rng, int size, ecc_point* p, mp_int* modulus,
|
|
mp_digit mp, mp_int* tx, mp_int* ty, mp_int* mu)
|
|
{
|
|
int err = MP_OKAY;
|
|
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
/* Generate random value to multiply into p->z. */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_gen_k(rng, size, ty, modulus);
|
|
/* Convert to montogmery form. */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(ty, mu, modulus, ty);
|
|
/* Multiply random value into p->z. */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(p->z, ty, p->z);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(p->z, modulus, mp);
|
|
/* Square random value for X (X' = X / Z^2). */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(ty, tx);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(tx, modulus, mp);
|
|
/* Multiply square of random by random value for Y. */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(ty, tx, ty);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(ty, modulus, mp);
|
|
/* Multiply square into X. */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(p->x, tx, p->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(p->x, modulus, mp);
|
|
/* Multiply cube into Y (Y' = Y / Z^3). */
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(p->y, ty, p->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_reduce(p->y, modulus, mp);
|
|
|
|
return err;
|
|
}
|
|
|
|
#ifndef WC_PROTECT_ENCRYPTED_MEM
|
|
#define M_POINTS 3
|
|
|
|
/* Joye double-add ladder.
|
|
* "Highly Regular Right-to-Left Algorithms for Scalar Multiplication"
|
|
* by Marc Joye (2007)
|
|
*
|
|
* Algorithm 1':
|
|
* Input: P element of curve, k = (k[t-1],..., k[0]) base 2
|
|
* Output: Q = kP
|
|
* 1: R[0] = P; R[1] = P
|
|
* 2: for j = 1 to t-1 do
|
|
* 3: b = 1 - k[j]; R[b] = 2*R[b] + R[k[j]]
|
|
* 4: end for
|
|
* 5: b = k[0]; R[b] = R[b] - P
|
|
* 6: return R[0]
|
|
*
|
|
* Assumes: k < order.
|
|
*/
|
|
static int ecc_mulmod(const mp_int* k, ecc_point* P, ecc_point* Q,
|
|
ecc_point** R, mp_int* a, mp_int* modulus, mp_digit mp, WC_RNG* rng)
|
|
{
|
|
int err = MP_OKAY;
|
|
int bytes = (mp_count_bits(modulus) + 7) / 8;
|
|
int i;
|
|
int j = 1;
|
|
int cnt = DIGIT_BIT;
|
|
int t = 0;
|
|
mp_digit b;
|
|
mp_digit v = 0;
|
|
mp_int* kt = R[2]->x;
|
|
#ifndef WC_NO_CACHE_RESISTANT
|
|
/* First bit always 1 (fix at end) and swap equals first bit */
|
|
int swap = 1;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* tmp = NULL;
|
|
#else
|
|
mp_int tmp[1];
|
|
#endif
|
|
#endif
|
|
int infinity;
|
|
|
|
#ifndef WC_NO_CACHE_RESISTANT
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
tmp = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (tmp == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
#endif
|
|
if (err == MP_OKAY)
|
|
err = mp_init(tmp);
|
|
#endif
|
|
|
|
/* Step 1: R[0] = P; R[1] = P */
|
|
/* R[0] = P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[0]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, R[0]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[0]->z);
|
|
|
|
/* R[1] = P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[1]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, R[1]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[1]->z);
|
|
|
|
/* Randomize z ordinates to obfuscate timing. */
|
|
if ((err == MP_OKAY) && (rng != NULL))
|
|
err = wc_ecc_gen_z(rng, bytes, R[0], modulus, mp, R[2]->x, R[2]->y, kt);
|
|
if ((err == MP_OKAY) && (rng != NULL))
|
|
err = wc_ecc_gen_z(rng, bytes, R[1], modulus, mp, R[2]->x, R[2]->y, kt);
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Order could be one greater than the size of the modulus. */
|
|
t = mp_count_bits(modulus) + 1;
|
|
v = k->dp[0] >> 1;
|
|
if (cnt > t) {
|
|
cnt = t;
|
|
}
|
|
err = mp_copy(k, kt);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_grow(kt, (int)modulus->used + 1);
|
|
}
|
|
/* Step 2: for j = 1 to t-1 do */
|
|
for (i = 1; (err == MP_OKAY) && (i < t); i++) {
|
|
if (--cnt == 0) {
|
|
v = kt->dp[j++];
|
|
cnt = DIGIT_BIT;
|
|
}
|
|
|
|
/* Step 3: b = 1 - k[j]; R[b] = 2*R[b] + R[k[j]] */
|
|
b = v & 1;
|
|
v >>= 1;
|
|
#ifdef WC_NO_CACHE_RESISTANT
|
|
err = ecc_projective_dbl_point_safe(R[b^1], R[b^1], a, modulus, mp);
|
|
if (err == MP_OKAY) {
|
|
err = ecc_projective_add_point_safe(R[b^1], R[b], R[b^1], a,
|
|
modulus, mp, &infinity);
|
|
}
|
|
#else
|
|
/* Swap R[0] and R[1] if other index is needed. */
|
|
swap ^= (int)b;
|
|
err = mp_cond_swap_ct_ex(R[0]->x, R[1]->x, (int)modulus->used, swap,
|
|
tmp);
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->y, R[1]->y, (int)modulus->used, swap,
|
|
tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->z, R[1]->z, (int)modulus->used, swap,
|
|
tmp);
|
|
}
|
|
swap = (int)b;
|
|
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(R[0], R[0], a, modulus, mp);
|
|
if (err == MP_OKAY) {
|
|
err = ecc_projective_add_point_safe(R[0], R[1], R[0], a, modulus,
|
|
mp, &infinity);
|
|
}
|
|
#endif /* WC_NO_CACHE_RESISTANT */
|
|
}
|
|
/* Step 4: end for */
|
|
#ifndef WC_NO_CACHE_RESISTANT
|
|
/* Swap back if last bit is 0. */
|
|
swap ^= 1;
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->x, R[1]->x, (int)modulus->used, swap,
|
|
tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->y, R[1]->y, (int)modulus->used, swap,
|
|
tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->z, R[1]->z, (int)modulus->used, swap,
|
|
tmp);
|
|
}
|
|
#endif
|
|
|
|
/* Step 5: b = k[0]; R[b] = R[b] - P */
|
|
/* R[2] = -P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[2]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_sub(modulus, P->y, R[2]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[2]->z);
|
|
/* Subtract point by adding negative. */
|
|
if (err == MP_OKAY) {
|
|
b = k->dp[0] & 1;
|
|
#ifdef WC_NO_CACHE_RESISTANT
|
|
err = ecc_projective_add_point_safe(R[b], R[2], R[b], a, modulus, mp,
|
|
&infinity);
|
|
#else
|
|
/* Swap R[0] and R[1], if necessary, to operate on the one we want. */
|
|
err = mp_cond_swap_ct_ex(R[0]->x, R[1]->x, (int)modulus->used, (int)b,
|
|
tmp);
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->y, R[1]->y, (int)modulus->used,
|
|
(int)b, tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->z, R[1]->z, (int)modulus->used,
|
|
(int)b, tmp);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_add_point_safe(R[0], R[2], R[0], a, modulus,
|
|
mp, &infinity);
|
|
/* Swap back if necessary. */
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->x, R[1]->x, (int)modulus->used,
|
|
(int)b, tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->y, R[1]->y, (int)modulus->used,
|
|
(int)b, tmp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_swap_ct_ex(R[0]->z, R[1]->z, (int)modulus->used,
|
|
(int)b, tmp);
|
|
}
|
|
#endif
|
|
}
|
|
|
|
/* Step 6: return R[0] */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[0]->x, Q->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[0]->y, Q->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[0]->z, Q->z);
|
|
|
|
#if defined(WOLFSSL_SMALL_STACK) && !defined(WC_NO_CACHE_RESISTANT)
|
|
XFREE(tmp, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
#else
|
|
/* Number of points to allocate for use during scalar multiplication. */
|
|
#define M_POINTS 5
|
|
/* Last of the points is used as a temporary during calculations. */
|
|
#define TMP_IDX M_POINTS - 1
|
|
|
|
static void mp_cond_swap_into_ct(mp_int* ra, mp_int* rb, mp_int* a, mp_int* b,
|
|
int digits, int m)
|
|
{
|
|
int i;
|
|
|
|
#if !defined(WOLFSSL_SP_MATH_ALL) || defined(WOLFSSL_SP_INT_NEGATIVE)
|
|
/* Only using positive numbers in ECC operations. */
|
|
ra->sign = 0;
|
|
rb->sign = 0;
|
|
#endif
|
|
/* Don't store 0 when mask is 0, it will be in a register. */
|
|
ra->used = (int)(((a->used ^ b->used) & ((mp_digit)0 - (m & 1))) ^ a->used);
|
|
rb->used = (int)(((a->used ^ b->used) & ((mp_digit)0 - (m & 1))) ^ b->used);
|
|
for (i = 0; i < digits; i++) {
|
|
ra->dp[i] = ((a->dp[i] ^ b->dp[i]) & ((mp_digit)0 - (m & 1))) ^
|
|
a->dp[i];
|
|
rb->dp[i] = ((a->dp[i] ^ b->dp[i]) & ((mp_digit)0 - (m & 1))) ^
|
|
b->dp[i];
|
|
}
|
|
}
|
|
|
|
static void ecc_cond_swap_into_ct(ecc_point* ra, ecc_point* rb, ecc_point* a,
|
|
ecc_point* b, int digits, int m)
|
|
{
|
|
/* Conditionally swap each ordinate. */
|
|
mp_cond_swap_into_ct(ra->x, rb->x, a->x, b->x, digits, m);
|
|
mp_cond_swap_into_ct(ra->y, rb->y, a->y, b->y, digits, m);
|
|
mp_cond_swap_into_ct(ra->z, rb->z, a->z, b->z, digits, m);
|
|
}
|
|
|
|
/* Joye double-add ladder.
|
|
* "Highly Regular Right-to-Left Algorithms for Scalar Multiplication"
|
|
* by Marc Joye (2007)
|
|
*
|
|
* Algorithm 1':
|
|
* Input: P element of curve, k = (k[t-1],..., k[0]) base 2
|
|
* Output: Q = kP
|
|
* 1: R[0] = P; R[1] = P
|
|
* 2: for j = 1 to t-1 do
|
|
* 3: b = 1 - k[j]; R[b] = 2*R[b] + R[k[j]]
|
|
* 4: end for
|
|
* 5: b = k[0]; R[b] = R[b] - P
|
|
* 6: return R[0]
|
|
*
|
|
* Assumes: k < order.
|
|
*/
|
|
static int ecc_mulmod(const mp_int* k, ecc_point* P, ecc_point* Q,
|
|
ecc_point** R, mp_int* a, mp_int* modulus, mp_digit mp, WC_RNG* rng)
|
|
{
|
|
int err = MP_OKAY;
|
|
int bytes = (mp_count_bits(modulus) + 7) / 8;
|
|
int i;
|
|
int j = 1;
|
|
int cnt;
|
|
int t = 0;
|
|
mp_int* kt = R[TMP_IDX]->x;
|
|
/* First bit always 1 (fix at end) and swap equals first bit */
|
|
register int swap = 1;
|
|
/* Which pair of points has current value. R[0,1] or R[2,3] */
|
|
int set = 0;
|
|
int infinity;
|
|
|
|
/* Step 1: R[0] = P; R[1] = P */
|
|
/* R[0] = P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[0]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, R[0]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[0]->z);
|
|
|
|
/* R[1] = P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[1]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->y, R[1]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[1]->z);
|
|
|
|
/* Randomize z ordinates to obfuscate timing. */
|
|
if ((err == MP_OKAY) && (rng != NULL))
|
|
err = wc_ecc_gen_z(rng, bytes, R[0], modulus, mp, R[TMP_IDX]->x,
|
|
R[TMP_IDX]->y, kt);
|
|
if ((err == MP_OKAY) && (rng != NULL))
|
|
err = wc_ecc_gen_z(rng, bytes, R[1], modulus, mp, R[TMP_IDX]->x,
|
|
R[TMP_IDX]->y, kt);
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Order could be one greater than the size of the modulus. */
|
|
t = mp_count_bits(modulus) + 1;
|
|
err = mp_copy(k, kt);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_grow(kt, modulus->used + 1);
|
|
}
|
|
/* Step 2: for j = 1 to t-1 do */
|
|
for (i = 1, j = 0, cnt = 0; (err == MP_OKAY) && (i < t); i++) {
|
|
if (++cnt == DIGIT_BIT) {
|
|
j++;
|
|
cnt = 0;
|
|
}
|
|
|
|
/* Step 3: b = 1 - k[j]; R[b] = 2*R[b] + R[k[j]] */
|
|
/* Swap R[0] and R[1] if other index is needed. */
|
|
/* Ensure 'swap' changes when shifted word is 0. */
|
|
swap += (kt->dp[j] >> cnt) + 2;
|
|
ecc_cond_swap_into_ct(R[(2 - set) + 0], R[(2 - set) + 1],
|
|
R[set + 0], R[set + 1], modulus->used, swap);
|
|
/* Change to operate on set copied into. */
|
|
set = 2 - set;
|
|
/* Ensure 'swap' changes to a previously unseen value. */
|
|
swap += (kt->dp[j] >> cnt) + swap;
|
|
|
|
/* R[0] = 2*R[0] */
|
|
err = ecc_projective_dbl_point_safe(R[set + 0], R[set + 0], a, modulus,
|
|
mp);
|
|
if (err == MP_OKAY) {
|
|
/* R[0] = R[1] + R[0] */
|
|
err = ecc_projective_add_point_safe(R[set + 0], R[set + 1],
|
|
R[set + 0], a, modulus, mp, &infinity);
|
|
}
|
|
/* R[1]->z * 2 - same point. */
|
|
mp_addmod_ct(R[set + 1]->z, R[set + 1]->z, modulus, R[set + 1]->z);
|
|
mp_addmod_ct(R[set + 1]->x, R[set + 1]->x, modulus, R[set + 1]->x);
|
|
mp_addmod_ct(R[set + 1]->x, R[set + 1]->x, modulus, R[set + 1]->x);
|
|
mp_addmod_ct(R[set + 1]->y, R[set + 1]->y, modulus, R[set + 1]->y);
|
|
mp_addmod_ct(R[set + 1]->y, R[set + 1]->y, modulus, R[set + 1]->y);
|
|
mp_addmod_ct(R[set + 1]->y, R[set + 1]->y, modulus, R[set + 1]->y);
|
|
}
|
|
/* Step 4: end for */
|
|
/* Swap back if last bit is 0. */
|
|
/* Ensure 'swap' changes. */
|
|
swap += 1;
|
|
if (err == MP_OKAY) {
|
|
ecc_cond_swap_into_ct(R[(2 - set) + 0], R[(2 - set) + 1],
|
|
R[set + 0], R[set + 1], modulus->used, swap);
|
|
set = 2 - set;
|
|
}
|
|
|
|
/* Step 5: b = k[0]; R[b] = R[b] - P */
|
|
/* R[TMP_IDX] = -P */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->x, R[TMP_IDX]->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_sub(modulus, P->y, R[TMP_IDX]->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(P->z, R[TMP_IDX]->z);
|
|
/* Subtract point by adding negative. */
|
|
if (err == MP_OKAY) {
|
|
/* Swap R[0] and R[1], if necessary, to operate on the one we want.
|
|
* Last bit of k->dp[0] is being used to make decision to swap.
|
|
*/
|
|
ecc_cond_swap_into_ct(R[(2 - set) + 0], R[(2 - set) + 1],
|
|
R[set + 0], R[set + 1], modulus->used,
|
|
(int)k->dp[0]);
|
|
set = 2 - set;
|
|
err = ecc_projective_add_point_safe(R[set + 0], R[TMP_IDX], R[set + 0],
|
|
a, modulus, mp, &infinity);
|
|
/* Swap back if necessary. */
|
|
if (err == MP_OKAY) {
|
|
ecc_cond_swap_into_ct(R[(2 - set) + 0], R[(2 - set) + 1],
|
|
R[set + 0], R[set + 1], modulus->used,
|
|
(int)k->dp[0]);
|
|
set = 2 - set;
|
|
}
|
|
}
|
|
|
|
/* Step 6: return R[0] */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[set + 0]->x, Q->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[set + 0]->y, Q->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(R[set + 0]->z, Q->z);
|
|
|
|
return err;
|
|
}
|
|
|
|
#endif
|
|
|
|
#endif
|
|
|
|
/* Convert the point to montgomery form.
|
|
*
|
|
* @param [in] p Point to convert.
|
|
* @param [out] r Point in montgomery form.
|
|
* @param [in] modulus Modulus of ordinates.
|
|
* @return 0 on success.
|
|
* @return -ve on failure.
|
|
*/
|
|
static int ecc_point_to_mont(ecc_point* p, ecc_point* r, mp_int* modulus,
|
|
void* heap)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECL_MP_INT_SIZE_DYN(mu, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
|
|
(void)heap;
|
|
|
|
NEW_MP_INT_SIZE(mu, mp_bitsused(modulus), heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (mu == NULL)
|
|
err = MEMORY_E;
|
|
#endif
|
|
if (err == MP_OKAY)
|
|
err = INIT_MP_INT_SIZE(mu, mp_bitsused(modulus));
|
|
if (err == MP_OKAY) {
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
|
|
if (err == MP_OKAY) {
|
|
if (mp_cmp_d(mu, 1) == MP_EQ) {
|
|
err = mp_copy(p->x, r->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(p->y, r->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(p->z, r->z);
|
|
}
|
|
else {
|
|
err = mp_mulmod(p->x, mu, modulus, r->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(p->y, mu, modulus, r->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(p->z, mu, modulus, r->z);
|
|
}
|
|
}
|
|
|
|
mp_clear(mu);
|
|
}
|
|
|
|
FREE_MP_INT_SIZE(mu, heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
static int ecc_key_tmp_init(ecc_key* key, void* heap)
|
|
{
|
|
int err = MP_OKAY;
|
|
|
|
(void)heap;
|
|
|
|
if (key == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
XMEMSET(key, 0, sizeof(*key));
|
|
|
|
#if defined(WOLFSSL_SP_MATH_ALL) && defined(WOLFSSL_SMALL_STACK)
|
|
NEW_MP_INT_SIZE(key->t1, ECC_KEY_MAX_BITS_NONULLCHECK(key), heap, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(key->t2, ECC_KEY_MAX_BITS_NONULLCHECK(key), heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef ALT_ECC_SIZE
|
|
NEW_MP_INT_SIZE(key->x, ECC_KEY_MAX_BITS_NONULLCHECK(key), heap, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(key->y, ECC_KEY_MAX_BITS_NONULLCHECK(key), heap, DYNAMIC_TYPE_ECC);
|
|
NEW_MP_INT_SIZE(key->z, ECC_KEY_MAX_BITS_NONULLCHECK(key), heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
if (key->t1 == NULL || key->t2 == NULL
|
|
#ifdef ALT_ECC_SIZE
|
|
|| key->x == NULL || key->y == NULL || key->z == NULL
|
|
#endif
|
|
) {
|
|
err = MEMORY_E;
|
|
}
|
|
if (err == 0) {
|
|
err = INIT_MP_INT_SIZE(key->t1, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
if (err == 0) {
|
|
err = INIT_MP_INT_SIZE(key->t2, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
#ifdef ALT_ECC_SIZE
|
|
if (err == 0) {
|
|
err = INIT_MP_INT_SIZE(key->x, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
if (err == 0) {
|
|
err = INIT_MP_INT_SIZE(key->y, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
if (err == 0) {
|
|
err = INIT_MP_INT_SIZE(key->z, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
#endif
|
|
#else
|
|
key->t1 = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->t2 = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef ALT_ECC_SIZE
|
|
key->x = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->y = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->z = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
if (key->t1 == NULL || key->t2 == NULL
|
|
#ifdef ALT_ECC_SIZE
|
|
|| key->x == NULL || key->y == NULL || key->z == NULL
|
|
#endif
|
|
) {
|
|
err = MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
static void ecc_key_tmp_final(ecc_key* key, void* heap)
|
|
{
|
|
(void)heap;
|
|
|
|
#if defined(WOLFSSL_SP_MATH_ALL) && defined(WOLFSSL_SMALL_STACK)
|
|
#ifdef ALT_ECC_SIZE
|
|
FREE_MP_INT_SIZE(key->z, heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(key->y, heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(key->x, heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_MP_INT_SIZE(key->t2, heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(key->t1, heap, DYNAMIC_TYPE_ECC);
|
|
#else
|
|
#ifdef ALT_ECC_SIZE
|
|
XFREE(key->z, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->y, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->x, heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
XFREE(key->t2, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->t1, heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
}
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
|
|
#if !defined(WOLFSSL_SP_MATH) || !defined(FP_ECC)
|
|
/**
|
|
Perform a point multiplication
|
|
k The scalar to multiply by
|
|
G The base point
|
|
R [out] Destination for kG
|
|
a ECC curve parameter a
|
|
modulus The modulus of the field the ECC curve is in
|
|
map Boolean whether to map back to affine or not
|
|
(1==map, 0 == leave in projective)
|
|
return MP_OKAY on success
|
|
*/
|
|
#ifdef FP_ECC
|
|
static int normal_ecc_mulmod(const mp_int* k, ecc_point *G, ecc_point *R,
|
|
mp_int* a, mp_int* modulus, WC_RNG* rng, int map,
|
|
void* heap)
|
|
#else
|
|
int wc_ecc_mulmod_ex(const mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, int map, void* heap)
|
|
#endif
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
{
|
|
ecc_point *tG, *M[M_POINTS];
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_tG, lcl_M[M_POINTS];
|
|
#endif
|
|
int i, err;
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
ecc_key *key = (ecc_key *)XMALLOC(sizeof(*key), heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
mp_digit mp;
|
|
|
|
/* init variables */
|
|
tG = NULL;
|
|
XMEMSET(M, 0, sizeof(M));
|
|
|
|
if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
|
|
err = ECC_BAD_ARG_E;
|
|
goto exit;
|
|
}
|
|
|
|
/* k can't have more bits than modulus count plus 1 */
|
|
if (mp_count_bits(k) > mp_count_bits(modulus) + 1) {
|
|
err = ECC_OUT_OF_RANGE_E;
|
|
goto exit;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (key == NULL) {
|
|
err = MP_MEM;
|
|
goto exit;
|
|
}
|
|
err = ecc_key_tmp_init(key, heap);
|
|
if (err != MP_OKAY)
|
|
goto exit;
|
|
R->key = key;
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
|
|
/* alloc ram for window temps */
|
|
for (i = 0; i < M_POINTS; i++) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
M[i] = &lcl_M[i];
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&M[i], heap);
|
|
if (err != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
M[i]->key = key;
|
|
#endif
|
|
}
|
|
|
|
/* make a copy of G in case R==G */
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
tG = &lcl_tG;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&tG, heap);
|
|
if (err != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
if ((err = ecc_point_to_mont(G, tG, modulus, heap)) != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
|
|
/* init montgomery reduction */
|
|
if ((err = mp_montgomery_setup(modulus, &mp)) != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
|
|
#ifdef FP_ECC
|
|
err = ecc_mulmod(k, tG, R, M, a, modulus, mp, rng);
|
|
#else
|
|
err = ecc_mulmod(k, tG, R, M, a, modulus, mp, NULL);
|
|
#endif
|
|
/* map R back from projective space */
|
|
if (err == MP_OKAY && map)
|
|
err = ecc_map(R, modulus, mp);
|
|
|
|
exit:
|
|
|
|
/* done */
|
|
wc_ecc_del_point_ex(tG, heap);
|
|
for (i = 0; i < M_POINTS; i++) {
|
|
wc_ecc_del_point_ex(M[i], heap);
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
if (key) {
|
|
if (R)
|
|
R->key = NULL;
|
|
if (err == MP_OKAY)
|
|
ecc_key_tmp_final(key, heap);
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC);
|
|
}
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
|
|
return err;
|
|
}
|
|
#else
|
|
{
|
|
if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
(void)a;
|
|
|
|
/* For supported curves the order is the same length in bits as the modulus.
|
|
* Can't have more than order bits for the scalar.
|
|
*/
|
|
if (mp_count_bits(k) > mp_count_bits(modulus)) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
if (mp_count_bits(G->x) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->y) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->z) > mp_count_bits(modulus)) {
|
|
return IS_POINT_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(modulus) == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
return sp_ecc_mulmod_sm2_256(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (mp_count_bits(modulus) == 256) {
|
|
return sp_ecc_mulmod_256(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (mp_count_bits(modulus) == 384) {
|
|
return sp_ecc_mulmod_384(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (mp_count_bits(modulus) == 521) {
|
|
return sp_ecc_mulmod_521(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#else
|
|
(void)map;
|
|
(void)map;
|
|
(void)heap;
|
|
#endif
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
#endif
|
|
#endif /* !WOLFSSL_SP_MATH || !FP_ECC */
|
|
|
|
#ifndef FP_ECC
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
static int ecc_check_order_minus_1(const mp_int* k, ecc_point* tG, ecc_point* R,
|
|
mp_int* modulus, mp_int* order)
|
|
{
|
|
int err;
|
|
DECL_MP_INT_SIZE_DYN(t, mp_bitsused(order), MAX_ECC_BITS_USE);
|
|
|
|
NEW_MP_INT_SIZE(t, mp_bitsused(modulus), NULL, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (t == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
err = INIT_MP_INT_SIZE(t, mp_bitsused(modulus));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
/* Check for k == order - 1. Result will be 0 point which is not correct
|
|
* Calculates order / 2 and adds order / 2 + 1 and gets infinity.
|
|
* (with constant time implementation)
|
|
*/
|
|
err = mp_sub_d(order, 1, t);
|
|
if (err == MP_OKAY) {
|
|
int kIsMinusOne = (mp_cmp((mp_int*)k, t) == MP_EQ);
|
|
err = mp_cond_copy(tG->x, kIsMinusOne, R->x);
|
|
if (err == MP_OKAY) {
|
|
err = mp_sub(modulus, tG->y, t);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_copy(t, kIsMinusOne, R->y);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_cond_copy(tG->z, kIsMinusOne, R->z);
|
|
}
|
|
}
|
|
|
|
mp_free(t);
|
|
}
|
|
|
|
FREE_MP_INT_SIZE(t, NULL, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
#endif /* ECC_TIMING_RESISTANT */
|
|
#endif
|
|
|
|
/**
|
|
Perform a point multiplication
|
|
k The scalar to multiply by
|
|
G The base point
|
|
R [out] Destination for kG
|
|
a ECC curve parameter a
|
|
modulus The modulus of the field the ECC curve is in
|
|
map Boolean whether to map back to affine or not
|
|
(1==map, 0 == leave in projective)
|
|
return MP_OKAY on success
|
|
*/
|
|
int wc_ecc_mulmod_ex2(const mp_int* k, ecc_point* G, ecc_point* R, mp_int* a,
|
|
mp_int* modulus, mp_int* order, WC_RNG* rng, int map,
|
|
void* heap)
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
{
|
|
ecc_point *tG, *M[M_POINTS];
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_tG, lcl_M[M_POINTS];
|
|
#endif
|
|
int i, err;
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
ecc_key *key = NULL;
|
|
#endif
|
|
mp_digit mp;
|
|
|
|
if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#ifdef HAVE_ECC_CDH
|
|
if (mp_count_bits(modulus) > mp_count_bits(order)) {
|
|
if (mp_count_bits(k) > mp_count_bits(modulus)) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
/* k can't have more bits than order */
|
|
if (mp_count_bits(k) > mp_count_bits(order)) {
|
|
WOLFSSL_MSG("Private key length is greater than order in bits.");
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
|
|
/* init variables */
|
|
tG = NULL;
|
|
XMEMSET(M, 0, sizeof(M));
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
key = (ecc_key *)XMALLOC(sizeof(*key), heap, DYNAMIC_TYPE_ECC);
|
|
if (key == NULL)
|
|
return MEMORY_E;
|
|
err = ecc_key_tmp_init(key, heap);
|
|
if (err != MP_OKAY)
|
|
goto exit;
|
|
R->key = key;
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
|
|
/* alloc ram for window temps */
|
|
for (i = 0; i < M_POINTS; i++) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
M[i] = &lcl_M[i];
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&M[i], heap);
|
|
if (err != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
M[i]->key = key;
|
|
#endif
|
|
}
|
|
|
|
/* make a copy of G in case R==G */
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
tG = &lcl_tG;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&tG, heap);
|
|
if (err != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
if ((err = ecc_point_to_mont(G, tG, modulus, heap)) != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
|
|
/* init montgomery reduction */
|
|
if ((err = mp_montgomery_setup(modulus, &mp)) != MP_OKAY) {
|
|
goto exit;
|
|
}
|
|
|
|
err = ecc_mulmod(k, tG, R, M, a, modulus, mp, rng);
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (err == MP_OKAY) {
|
|
err = ecc_check_order_minus_1(k, tG, R, modulus, order);
|
|
}
|
|
#else
|
|
(void)order;
|
|
#endif
|
|
/* map R back from projective space */
|
|
if (err == MP_OKAY && map)
|
|
err = ecc_map(R, modulus, mp);
|
|
|
|
exit:
|
|
|
|
/* done */
|
|
wc_ecc_del_point_ex(tG, heap);
|
|
for (i = 0; i < M_POINTS; i++) {
|
|
wc_ecc_del_point_ex(M[i], heap);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
R->key = NULL;
|
|
ecc_key_tmp_final(key, heap);
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC);
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
|
|
return err;
|
|
}
|
|
#else
|
|
{
|
|
if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
if (mp_count_bits(G->x) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->y) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->z) > mp_count_bits(modulus)) {
|
|
return IS_POINT_E;
|
|
}
|
|
|
|
(void)a;
|
|
(void)order;
|
|
(void)rng;
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(modulus) == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
return sp_ecc_mulmod_sm2_256(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (mp_count_bits(modulus) == 256) {
|
|
return sp_ecc_mulmod_256(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (mp_count_bits(modulus) == 384) {
|
|
return sp_ecc_mulmod_384(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (mp_count_bits(modulus) == 521) {
|
|
return sp_ecc_mulmod_521(k, G, R, map, heap);
|
|
}
|
|
#endif
|
|
#else
|
|
(void)map;
|
|
(void)heap;
|
|
#endif
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
#endif /* !FP_ECC */
|
|
|
|
#endif /* !FREESCALE_LTC_ECC && !WOLFSSL_STM32_PKA */
|
|
|
|
/** ECC Fixed Point mulmod global
|
|
k The multiplicand
|
|
G Base point to multiply
|
|
R [out] Destination of product
|
|
a ECC curve parameter a
|
|
modulus The modulus for the curve
|
|
map [boolean] If non-zero maps the point back to affine coordinates,
|
|
otherwise it's left in jacobian-montgomery form
|
|
return MP_OKAY if successful
|
|
*/
|
|
int wc_ecc_mulmod(const mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, int map)
|
|
{
|
|
if ((k != NULL) && (R != NULL) && (mp_iszero(k))) {
|
|
mp_zero(R->x);
|
|
mp_zero(R->y);
|
|
mp_set(R->z, 1);
|
|
return MP_OKAY;
|
|
}
|
|
return wc_ecc_mulmod_ex(k, G, R, a, modulus, map, NULL);
|
|
}
|
|
|
|
#endif
|
|
|
|
/**
|
|
* Allocate a new ECC point (if one not provided)
|
|
* use a heap hint when creating new ecc_point
|
|
* return an allocated point on success or NULL on failure
|
|
*/
|
|
static int wc_ecc_new_point_ex(ecc_point** point, void* heap)
|
|
{
|
|
int err = MP_OKAY;
|
|
ecc_point* p;
|
|
|
|
if (point == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
p = *point;
|
|
if (p == NULL) {
|
|
p = (ecc_point*)XMALLOC(sizeof(ecc_point), heap, DYNAMIC_TYPE_ECC);
|
|
}
|
|
if (p == NULL) {
|
|
return MEMORY_E;
|
|
}
|
|
XMEMSET(p, 0, sizeof(ecc_point));
|
|
|
|
if (*point == NULL)
|
|
p->isAllocated = 1;
|
|
|
|
#ifndef ALT_ECC_SIZE
|
|
err = mp_init_multi(p->x, p->y, p->z, NULL, NULL, NULL);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("mp_init_multi failed.");
|
|
if (p->isAllocated)
|
|
XFREE(p, heap, DYNAMIC_TYPE_ECC);
|
|
p = NULL;
|
|
}
|
|
#else
|
|
p->x = (mp_int*)&p->xyz[0];
|
|
p->y = (mp_int*)&p->xyz[1];
|
|
p->z = (mp_int*)&p->xyz[2];
|
|
alt_fp_init(p->x);
|
|
alt_fp_init(p->y);
|
|
alt_fp_init(p->z);
|
|
#endif
|
|
|
|
*point = p;
|
|
(void)heap;
|
|
return err;
|
|
} /* wc_ecc_new_point_ex */
|
|
|
|
ecc_point* wc_ecc_new_point_h(void* heap)
|
|
{
|
|
ecc_point* p = NULL;
|
|
(void)wc_ecc_new_point_ex(&p, heap);
|
|
return p;
|
|
}
|
|
|
|
ecc_point* wc_ecc_new_point(void)
|
|
{
|
|
ecc_point* p = NULL;
|
|
(void)wc_ecc_new_point_ex(&p, NULL);
|
|
return p;
|
|
}
|
|
|
|
/** Free an ECC point from memory
|
|
p The point to free
|
|
*/
|
|
static void wc_ecc_del_point_ex(ecc_point* p, void* heap)
|
|
{
|
|
if (p != NULL) {
|
|
mp_clear(p->x);
|
|
mp_clear(p->y);
|
|
mp_clear(p->z);
|
|
if (p->isAllocated)
|
|
XFREE(p, heap, DYNAMIC_TYPE_ECC);
|
|
}
|
|
(void)heap;
|
|
}
|
|
void wc_ecc_del_point_h(ecc_point* p, void* heap)
|
|
{
|
|
wc_ecc_del_point_ex(p, heap);
|
|
}
|
|
void wc_ecc_del_point(ecc_point* p)
|
|
{
|
|
wc_ecc_del_point_ex(p, NULL);
|
|
}
|
|
|
|
void wc_ecc_forcezero_point(ecc_point* p)
|
|
{
|
|
if (p != NULL) {
|
|
mp_forcezero(p->x);
|
|
mp_forcezero(p->y);
|
|
mp_forcezero(p->z);
|
|
}
|
|
}
|
|
|
|
|
|
/** Copy the value of a point to an other one
|
|
p The point to copy
|
|
r The created point
|
|
*/
|
|
int wc_ecc_copy_point(const ecc_point* p, ecc_point *r)
|
|
{
|
|
int ret;
|
|
|
|
/* prevents null arguments */
|
|
if (p == NULL || r == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
ret = mp_copy(p->x, r->x);
|
|
if (ret != MP_OKAY)
|
|
return ret;
|
|
ret = mp_copy(p->y, r->y);
|
|
if (ret != MP_OKAY)
|
|
return ret;
|
|
ret = mp_copy(p->z, r->z);
|
|
if (ret != MP_OKAY)
|
|
return ret;
|
|
|
|
return MP_OKAY;
|
|
}
|
|
|
|
/** Compare the value of a point with an other one
|
|
a The point to compare
|
|
b The other point to compare
|
|
|
|
return MP_EQ if equal, MP_LT/MP_GT if not, < 0 in case of error
|
|
*/
|
|
int wc_ecc_cmp_point(ecc_point* a, ecc_point *b)
|
|
{
|
|
int ret;
|
|
|
|
/* prevents null arguments */
|
|
if (a == NULL || b == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ret = mp_cmp(a->x, b->x);
|
|
if (ret != MP_EQ)
|
|
return ret;
|
|
ret = mp_cmp(a->y, b->y);
|
|
if (ret != MP_EQ)
|
|
return ret;
|
|
ret = mp_cmp(a->z, b->z);
|
|
if (ret != MP_EQ)
|
|
return ret;
|
|
|
|
return MP_EQ;
|
|
}
|
|
|
|
|
|
/** Returns whether an ECC idx is valid or not
|
|
n The idx number to check
|
|
return 1 if valid, 0 if not
|
|
*/
|
|
int wc_ecc_is_valid_idx(int n)
|
|
{
|
|
int x;
|
|
|
|
if (n >= (int)ECC_SET_COUNT)
|
|
return 0;
|
|
|
|
for (x = 0; ecc_sets[x].size != 0; x++)
|
|
;
|
|
/* -1 is a valid index --- indicating that the domain params
|
|
were supplied by the user */
|
|
if ((n >= ECC_CUSTOM_IDX) && (n < x)) {
|
|
return 1;
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
int wc_ecc_get_curve_idx(int curve_id)
|
|
{
|
|
int curve_idx;
|
|
for (curve_idx = 0; ecc_sets[curve_idx].size != 0; curve_idx++) {
|
|
if (curve_id == ecc_sets[curve_idx].id)
|
|
break;
|
|
}
|
|
if (ecc_sets[curve_idx].size == 0) {
|
|
return ECC_CURVE_INVALID;
|
|
}
|
|
return curve_idx;
|
|
}
|
|
|
|
int wc_ecc_get_curve_id(int curve_idx)
|
|
{
|
|
if (wc_ecc_is_valid_idx(curve_idx) && curve_idx >= 0) {
|
|
return ecc_sets[curve_idx].id;
|
|
}
|
|
return ECC_CURVE_INVALID;
|
|
}
|
|
|
|
/* Returns the curve size that corresponds to a given ecc_curve_id identifier
|
|
*
|
|
* id curve id, from ecc_curve_id enum in ecc.h
|
|
* return curve size, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_size_from_id(int curve_id)
|
|
{
|
|
int curve_idx = wc_ecc_get_curve_idx(curve_id);
|
|
if (curve_idx == ECC_CURVE_INVALID)
|
|
return ECC_BAD_ARG_E;
|
|
return ecc_sets[curve_idx].size;
|
|
}
|
|
|
|
/* Returns the curve index that corresponds to a given curve name in
|
|
* ecc_sets[] of ecc.c
|
|
*
|
|
* name curve name, from ecc_sets[].name in ecc.c
|
|
* return curve index in ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_idx_from_name(const char* curveName)
|
|
{
|
|
int curve_idx;
|
|
|
|
if (curveName == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
for (curve_idx = 0; ecc_sets[curve_idx].size != 0; curve_idx++) {
|
|
if (
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
ecc_sets[curve_idx].name &&
|
|
#endif
|
|
XSTRCASECMP(ecc_sets[curve_idx].name, curveName) == 0) {
|
|
break;
|
|
}
|
|
}
|
|
if (ecc_sets[curve_idx].size == 0) {
|
|
WOLFSSL_MSG("ecc_set curve name not found");
|
|
return ECC_CURVE_INVALID;
|
|
}
|
|
return curve_idx;
|
|
}
|
|
|
|
/* Returns the curve size that corresponds to a given curve name,
|
|
* as listed in ecc_sets[] of ecc.c.
|
|
*
|
|
* name curve name, from ecc_sets[].name in ecc.c
|
|
* return curve size, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_size_from_name(const char* curveName)
|
|
{
|
|
int curve_idx;
|
|
|
|
if (curveName == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
curve_idx = wc_ecc_get_curve_idx_from_name(curveName);
|
|
if (curve_idx < 0)
|
|
return curve_idx;
|
|
|
|
return ecc_sets[curve_idx].size;
|
|
}
|
|
|
|
/* Returns the curve id that corresponds to a given curve name,
|
|
* as listed in ecc_sets[] of ecc.c.
|
|
*
|
|
* name curve name, from ecc_sets[].name in ecc.c
|
|
* return curve id, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_id_from_name(const char* curveName)
|
|
{
|
|
int curve_idx;
|
|
|
|
if (curveName == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
curve_idx = wc_ecc_get_curve_idx_from_name(curveName);
|
|
if (curve_idx < 0)
|
|
return curve_idx;
|
|
|
|
return ecc_sets[curve_idx].id;
|
|
}
|
|
|
|
/* Compares a curve parameter (hex, from ecc_sets[]) to given input
|
|
* parameter for equality.
|
|
* encType is WC_TYPE_UNSIGNED_BIN or WC_TYPE_HEX_STR
|
|
* Returns MP_EQ on success, negative on error */
|
|
static int wc_ecc_cmp_param(const char* curveParam,
|
|
const byte* param, word32 paramSz, int encType)
|
|
{
|
|
int err = MP_OKAY;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* a = NULL;
|
|
mp_int* b = NULL;
|
|
#else
|
|
mp_int a[1], b[1];
|
|
#endif
|
|
|
|
if (param == NULL || curveParam == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (encType == WC_TYPE_HEX_STR) {
|
|
if ((word32)XSTRLEN(curveParam) != paramSz)
|
|
return -1;
|
|
return (XSTRNCMP(curveParam, (char*) param, paramSz) == 0) ? 0 : -1;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
a = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (a == NULL)
|
|
return MEMORY_E;
|
|
b = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (b == NULL) {
|
|
XFREE(a, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
if ((err = mp_init_multi(a, b, NULL, NULL, NULL, NULL)) != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(a, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(b, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
return err;
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
err = mp_read_unsigned_bin(a, param, paramSz);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = mp_read_radix(b, curveParam, MP_RADIX_HEX);
|
|
|
|
if (err == MP_OKAY) {
|
|
if (mp_cmp(a, b) != MP_EQ) {
|
|
err = -1;
|
|
} else {
|
|
err = MP_EQ;
|
|
}
|
|
}
|
|
|
|
mp_clear(a);
|
|
mp_clear(b);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(b, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(a, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
/* Returns the curve id in ecc_sets[] that corresponds to a given set of
|
|
* curve parameters.
|
|
*
|
|
* fieldSize the field size in bits
|
|
* prime prime of the finite field
|
|
* primeSz size of prime in octets
|
|
* Af first coefficient a of the curve
|
|
* AfSz size of Af in octets
|
|
* Bf second coefficient b of the curve
|
|
* BfSz size of Bf in octets
|
|
* order curve order
|
|
* orderSz size of curve in octets
|
|
* Gx affine x coordinate of base point
|
|
* GxSz size of Gx in octets
|
|
* Gy affine y coordinate of base point
|
|
* GySz size of Gy in octets
|
|
* cofactor curve cofactor
|
|
*
|
|
* return curve id, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_id_from_params(int fieldSize,
|
|
const byte* prime, word32 primeSz, const byte* Af, word32 AfSz,
|
|
const byte* Bf, word32 BfSz, const byte* order, word32 orderSz,
|
|
const byte* Gx, word32 GxSz, const byte* Gy, word32 GySz, int cofactor)
|
|
{
|
|
int idx;
|
|
int curveSz;
|
|
|
|
if (prime == NULL || Af == NULL || Bf == NULL || order == NULL ||
|
|
Gx == NULL || Gy == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
curveSz = (fieldSize + 1) / 8; /* round up */
|
|
|
|
for (idx = 0; ecc_sets[idx].size != 0; idx++) {
|
|
if (curveSz == ecc_sets[idx].size) {
|
|
if ((wc_ecc_cmp_param(ecc_sets[idx].prime, prime,
|
|
primeSz, WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Af, Af, AfSz,
|
|
WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Bf, Bf, BfSz,
|
|
WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].order, order,
|
|
orderSz, WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Gx, Gx, GxSz,
|
|
WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Gy, Gy, GySz,
|
|
WC_TYPE_UNSIGNED_BIN) == MP_EQ) &&
|
|
(cofactor == ecc_sets[idx].cofactor)) {
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (ecc_sets[idx].size == 0)
|
|
return ECC_CURVE_INVALID;
|
|
|
|
return ecc_sets[idx].id;
|
|
}
|
|
|
|
/* Returns the curve id in ecc_sets[] that corresponds
|
|
* to a given domain parameters pointer.
|
|
*
|
|
* dp domain parameters pointer
|
|
*
|
|
* return curve id, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_id_from_dp_params(const ecc_set_type* dp)
|
|
{
|
|
int idx;
|
|
|
|
if (dp == NULL
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
|| dp->prime == NULL || dp->Af == NULL ||
|
|
dp->Bf == NULL || dp->order == NULL || dp->Gx == NULL || dp->Gy == NULL
|
|
#endif
|
|
) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
for (idx = 0; ecc_sets[idx].size != 0; idx++) {
|
|
if (dp->size == ecc_sets[idx].size) {
|
|
if ((wc_ecc_cmp_param(ecc_sets[idx].prime, (const byte*)dp->prime,
|
|
(word32)XSTRLEN(dp->prime), WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Af, (const byte*)dp->Af,
|
|
(word32)XSTRLEN(dp->Af),WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Bf, (const byte*)dp->Bf,
|
|
(word32)XSTRLEN(dp->Bf),WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].order, (const byte*)dp->order,
|
|
(word32)XSTRLEN(dp->order),WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Gx, (const byte*)dp->Gx,
|
|
(word32)XSTRLEN(dp->Gx),WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(wc_ecc_cmp_param(ecc_sets[idx].Gy, (const byte*)dp->Gy,
|
|
(word32)XSTRLEN(dp->Gy),WC_TYPE_HEX_STR) == MP_EQ) &&
|
|
(dp->cofactor == ecc_sets[idx].cofactor)) {
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (ecc_sets[idx].size == 0)
|
|
return ECC_CURVE_INVALID;
|
|
|
|
return ecc_sets[idx].id;
|
|
}
|
|
|
|
/* Returns the curve id that corresponds to a given OID,
|
|
* as listed in ecc_sets[] of ecc.c.
|
|
*
|
|
* oid OID, from ecc_sets[].name in ecc.c
|
|
* len OID len, from ecc_sets[].name in ecc.c
|
|
* return curve id, from ecc_sets[] on success, negative on error
|
|
*/
|
|
int wc_ecc_get_curve_id_from_oid(const byte* oid, word32 len)
|
|
{
|
|
int curve_idx;
|
|
#if defined(HAVE_OID_DECODING) || defined(HAVE_OID_ENCODING)
|
|
int ret;
|
|
#ifdef HAVE_OID_DECODING
|
|
word16 decOid[MAX_OID_SZ/sizeof(word16)];
|
|
#else
|
|
byte decOid[MAX_OID_SZ];
|
|
#endif
|
|
word32 decOidSz;
|
|
#endif
|
|
|
|
if (oid == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
#ifdef HAVE_OID_DECODING
|
|
decOidSz = (word32)sizeof(decOid);
|
|
ret = DecodeObjectId(oid, len, decOid, &decOidSz);
|
|
if (ret != 0) {
|
|
return ret;
|
|
}
|
|
#endif
|
|
|
|
if (len == 0) {
|
|
/* SAKKE has zero oidSz and will otherwise match with len==0. */
|
|
WOLFSSL_MSG("zero oidSz");
|
|
return ECC_CURVE_INVALID;
|
|
}
|
|
|
|
for (curve_idx = 0; ecc_sets[curve_idx].size != 0; curve_idx++) {
|
|
#if defined(HAVE_OID_ENCODING) && !defined(HAVE_OID_DECODING)
|
|
decOidSz = (word32)sizeof(decOid);
|
|
ret = EncodeObjectId(ecc_sets[curve_idx].oid, ecc_sets[curve_idx].oidSz,
|
|
decOid, &decOidSz);
|
|
if (ret != 0) {
|
|
continue;
|
|
}
|
|
#endif
|
|
|
|
if (
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
ecc_sets[curve_idx].oid &&
|
|
#endif
|
|
#if defined(HAVE_OID_ENCODING) && !defined(HAVE_OID_DECODING)
|
|
decOidSz == len &&
|
|
XMEMCMP(decOid, oid, len) == 0
|
|
#elif defined(HAVE_OID_ENCODING) && defined(HAVE_OID_DECODING)
|
|
/* We double because decOidSz is a count of word16 elements. */
|
|
ecc_sets[curve_idx].oidSz == decOidSz &&
|
|
XMEMCMP(ecc_sets[curve_idx].oid, decOid, decOidSz * 2) == 0
|
|
#else
|
|
ecc_sets[curve_idx].oidSz == len &&
|
|
XMEMCMP(ecc_sets[curve_idx].oid, oid, len) == 0
|
|
#endif
|
|
) {
|
|
break;
|
|
}
|
|
}
|
|
if (ecc_sets[curve_idx].size == 0) {
|
|
WOLFSSL_MSG("ecc_set curve name not found");
|
|
return ECC_CURVE_INVALID;
|
|
}
|
|
|
|
return ecc_sets[curve_idx].id;
|
|
}
|
|
|
|
/* Get curve parameters using curve index */
|
|
const ecc_set_type* wc_ecc_get_curve_params(int curve_idx)
|
|
{
|
|
const ecc_set_type* ecc_set = NULL;
|
|
|
|
if (curve_idx >= 0 && curve_idx < (int)ECC_SET_COUNT) {
|
|
ecc_set = &ecc_sets[curve_idx];
|
|
}
|
|
return ecc_set;
|
|
}
|
|
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
static WC_INLINE int wc_ecc_alloc_mpint(ecc_key* key, mp_int** mp)
|
|
{
|
|
if (key == NULL || mp == NULL)
|
|
return BAD_FUNC_ARG;
|
|
if (*mp == NULL) {
|
|
*mp = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_BIGINT);
|
|
if (*mp == NULL) {
|
|
return MEMORY_E;
|
|
}
|
|
XMEMSET(*mp, 0, sizeof(mp_int));
|
|
}
|
|
return 0;
|
|
}
|
|
static WC_INLINE void wc_ecc_free_mpint(ecc_key* key, mp_int** mp)
|
|
{
|
|
if (key && mp && *mp) {
|
|
mp_clear(*mp);
|
|
XFREE(*mp, key->heap, DYNAMIC_TYPE_BIGINT);
|
|
*mp = NULL;
|
|
}
|
|
}
|
|
|
|
static int wc_ecc_alloc_async(ecc_key* key)
|
|
{
|
|
int err = wc_ecc_alloc_mpint(key, &key->r);
|
|
if (err == 0)
|
|
err = wc_ecc_alloc_mpint(key, &key->s);
|
|
return err;
|
|
}
|
|
|
|
static void wc_ecc_free_async(ecc_key* key)
|
|
{
|
|
wc_ecc_free_mpint(key, &key->r);
|
|
wc_ecc_free_mpint(key, &key->s);
|
|
#ifdef HAVE_CAVIUM_V
|
|
wc_ecc_free_mpint(key, &key->e);
|
|
wc_ecc_free_mpint(key, &key->signK);
|
|
#endif /* HAVE_CAVIUM_V */
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
|
|
#ifdef HAVE_ECC_DHE
|
|
/**
|
|
Create an ECC shared secret between two keys
|
|
private_key The private ECC key (heap hint based off of private key)
|
|
public_key The public key
|
|
out [out] Destination of the shared secret
|
|
Conforms to EC-DH from ANSI X9.63
|
|
outlen [in/out] The max size and resulting size of the shared secret
|
|
return MP_OKAY if successful
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_shared_secret(ecc_key* private_key, ecc_key* public_key, byte* out,
|
|
word32* outlen)
|
|
{
|
|
int err = 0;
|
|
|
|
#if defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_ATECC508A) && \
|
|
!defined(WOLFSSL_ATECC608A)
|
|
CRYS_ECDH_TempData_t tempBuff;
|
|
#endif
|
|
|
|
(void)err;
|
|
|
|
if (private_key == NULL || public_key == NULL || out == NULL ||
|
|
outlen == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
#ifdef WOLF_CRYPTO_CB
|
|
#ifndef WOLF_CRYPTO_CB_FIND
|
|
if (private_key->devId != INVALID_DEVID)
|
|
#endif
|
|
{
|
|
err = wc_CryptoCb_Ecdh(private_key, public_key, out, outlen);
|
|
if (err != WC_NO_ERR_TRACE(CRYPTOCB_UNAVAILABLE))
|
|
return err;
|
|
/* fall-through when unavailable */
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLF_CRYPTO_CB_ONLY_ECC
|
|
return NO_VALID_DEVID;
|
|
#else /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
/* type valid? */
|
|
if (private_key->type != ECC_PRIVATEKEY &&
|
|
private_key->type != ECC_PRIVATEKEY_ONLY) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* Verify domain params supplied */
|
|
if (wc_ecc_is_valid_idx(private_key->idx) == 0 || private_key->dp == NULL ||
|
|
wc_ecc_is_valid_idx(public_key->idx) == 0 || public_key->dp == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* Verify curve id matches */
|
|
if (private_key->dp->id != public_key->dp->id) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* For SECP256R1 use hardware */
|
|
if (private_key->dp->id == ECC_SECP256R1) {
|
|
err = atmel_ecc_create_pms(private_key->slot, public_key->pubkey_raw, out);
|
|
*outlen = private_key->dp->size;
|
|
}
|
|
else {
|
|
err = NOT_COMPILED_IN;
|
|
}
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
/* generate a secret*/
|
|
err = CRYS_ECDH_SVDP_DH(&public_key->ctx.pubKey,
|
|
&private_key->ctx.privKey,
|
|
out,
|
|
(uint32_t*)outlen,
|
|
&tempBuff);
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECDH_SVDP_DH for secret failed");
|
|
return err;
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
err = silabs_ecc_shared_secret(private_key, public_key, out, outlen);
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
err = KcapiEcc_SharedSecret(private_key, public_key, out, outlen);
|
|
#elif defined(WOLFSSL_SE050)
|
|
err = se050_ecc_shared_secret(private_key, public_key, out, outlen);
|
|
#else
|
|
err = wc_ecc_shared_secret_ex(private_key, &public_key->pubkey, out, outlen);
|
|
#endif /* WOLFSSL_ATECC508A */
|
|
#endif /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
|
|
return err;
|
|
}
|
|
|
|
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_KCAPI_ECC) && \
|
|
!defined(WOLF_CRYPTO_CB_ONLY_ECC)
|
|
|
|
int wc_ecc_shared_secret_gen_sync(ecc_key* private_key, ecc_point* point,
|
|
byte* out, word32* outlen)
|
|
{
|
|
int err = MP_OKAY;
|
|
mp_int* k = ecc_get_k(private_key);
|
|
#ifdef HAVE_ECC_CDH
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *k_lcl = NULL;
|
|
#else
|
|
mp_int k_lcl[1];
|
|
#endif
|
|
#endif
|
|
#if defined(WOLFSSL_HAVE_SP_ECC) && defined(WC_ECC_NONBLOCK) && \
|
|
defined(WC_ECC_NONBLOCK_ONLY)
|
|
ecc_nb_ctx_t nb_ctx;
|
|
XMEMSET(&nb_ctx, 0, sizeof(nb_ctx));
|
|
#endif /* WOLFSSL_HAVE_SP_ECC && WC_ECC_NONBLOCK && WC_ECC_NONBLOCK_ONLY */
|
|
|
|
#ifdef HAVE_ECC_CDH
|
|
/* if cofactor flag has been set */
|
|
if (private_key->flags & WC_ECC_FLAG_COFACTOR) {
|
|
mp_digit cofactor = (mp_digit)private_key->dp->cofactor;
|
|
/* only perform cofactor calc if not equal to 1 */
|
|
if (cofactor != 1) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if ((k_lcl = (mp_int *)XMALLOC(sizeof(*k_lcl), private_key->heap, DYNAMIC_TYPE_ECC_BUFFER)) == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
k = k_lcl;
|
|
if (mp_init(k) != MP_OKAY) {
|
|
err = MEMORY_E;
|
|
goto errout;
|
|
}
|
|
/* multiply cofactor times private key "k" */
|
|
err = mp_mul_d(ecc_get_k(private_key), cofactor, k);
|
|
if (err != MP_OKAY)
|
|
goto errout;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (private_key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[private_key->idx].id == ECC_SECP256R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_secret_gen_256(k, point, out, outlen, private_key->heap);
|
|
#else
|
|
if (private_key->nb_ctx) {
|
|
err = sp_ecc_secret_gen_256_nb(&private_key->nb_ctx->sp_ctx, k,
|
|
point, out, outlen,
|
|
private_key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_secret_gen_256_nb(&nb_ctx.sp_ctx, k, point, out,
|
|
outlen, private_key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_secret_gen_256(k, point, out, outlen,
|
|
private_key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
}
|
|
else
|
|
#endif /* ! WOLFSSL_SP_NO_256 */
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (private_key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[private_key->idx].id == ECC_SM2P256V1) {
|
|
err = sp_ecc_secret_gen_sm2_256(k, point, out, outlen,
|
|
private_key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (private_key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[private_key->idx].id == ECC_SECP384R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_secret_gen_384(k, point, out, outlen, private_key->heap);
|
|
#else
|
|
if (private_key->nb_ctx) {
|
|
err = sp_ecc_secret_gen_384_nb(&private_key->nb_ctx->sp_ctx, k,
|
|
point, out, outlen,
|
|
private_key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_secret_gen_384_nb(&nb_ctx.sp_ctx, k, point, out,
|
|
outlen, private_key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_secret_gen_384(k, point, out, outlen,
|
|
private_key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SP_384 */
|
|
#ifdef WOLFSSL_SP_521
|
|
if (private_key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[private_key->idx].id == ECC_SECP521R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_secret_gen_521(k, point, out, outlen, private_key->heap);
|
|
#else
|
|
if (private_key->nb_ctx) {
|
|
err = sp_ecc_secret_gen_521_nb(&private_key->nb_ctx->sp_ctx, k,
|
|
point, out, outlen,
|
|
private_key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_secret_gen_521_nb(&nb_ctx.sp_ctx, k, point, out,
|
|
outlen, private_key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_secret_gen_521(k, point, out, outlen,
|
|
private_key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SP_521 */
|
|
#else
|
|
(void)point;
|
|
(void)out;
|
|
(void)outlen;
|
|
(void)k;
|
|
#endif
|
|
#if defined(WOLFSSL_SP_MATH)
|
|
{
|
|
err = WC_KEY_SIZE_E;
|
|
goto errout;
|
|
}
|
|
#else
|
|
{
|
|
ecc_point* result = NULL;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_result;
|
|
#endif
|
|
int x = 0;
|
|
mp_digit mp = 0;
|
|
DECLARE_CURVE_SPECS(3);
|
|
|
|
/* load curve info */
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(private_key->dp, &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF |
|
|
ECC_CURVE_FIELD_ORDER));
|
|
}
|
|
|
|
if (err != MP_OKAY) {
|
|
FREE_CURVE_SPECS();
|
|
goto errout;
|
|
}
|
|
|
|
/* make new point */
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
result = &lcl_result;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&result, private_key->heap);
|
|
if (err != MP_OKAY) {
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
goto errout;
|
|
}
|
|
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (private_key->rng == NULL) {
|
|
err = MISSING_RNG_E;
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Map in a separate call as this should be constant time */
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
err = wc_ecc_mulmod_ex2(k, point, result, curve->Af, curve->prime,
|
|
curve->order, private_key->rng, 0,
|
|
private_key->heap);
|
|
#else
|
|
err = wc_ecc_mulmod_ex2(k, point, result, curve->Af, curve->prime,
|
|
curve->order, NULL, 0, private_key->heap);
|
|
#endif
|
|
}
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
mp_memzero_add("wc_ecc_shared_secret_gen_sync result->x",
|
|
result->x);
|
|
mp_memzero_add("wc_ecc_shared_secret_gen_sync result->y",
|
|
result->y);
|
|
#endif
|
|
err = mp_montgomery_setup(curve->prime, &mp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
/* Use constant time map if compiled in */
|
|
err = ecc_map_ex(result, curve->prime, mp, 1);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
x = mp_unsigned_bin_size(curve->prime);
|
|
if (*outlen < (word32)x || x < mp_unsigned_bin_size(result->x)) {
|
|
err = BUFFER_E;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
XMEMSET(out, 0, (size_t)x);
|
|
err = mp_to_unsigned_bin(result->x, out +
|
|
(x - mp_unsigned_bin_size(result->x)));
|
|
}
|
|
*outlen = (word32)x;
|
|
|
|
mp_forcezero(result->x);
|
|
mp_forcezero(result->y);
|
|
wc_ecc_del_point_ex(result, private_key->heap);
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
}
|
|
#endif
|
|
|
|
errout:
|
|
|
|
#ifdef HAVE_ECC_CDH
|
|
if (k == k_lcl)
|
|
mp_clear(k);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(k_lcl, private_key->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
static int wc_ecc_shared_secret_gen_async(ecc_key* private_key,
|
|
ecc_point* point, byte* out, word32 *outlen)
|
|
{
|
|
int err = 0;
|
|
|
|
#if defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)
|
|
DECLARE_CURVE_SPECS(3);
|
|
|
|
/* load curve info */
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(private_key->dp, &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF |
|
|
ECC_CURVE_FIELD_ORDER));
|
|
}
|
|
|
|
if (err != MP_OKAY) {
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
|
|
if (private_key->dp
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
&& private_key->dp->id != ECC_CURVE_CUSTOM
|
|
#endif
|
|
#ifdef HAVE_CAVIUM_V
|
|
/* verify the curve is supported by hardware */
|
|
&& NitroxEccIsCurveSupported(private_key)
|
|
#endif
|
|
) {
|
|
word32 keySz = private_key->dp->size;
|
|
|
|
/* sync public key x/y */
|
|
err = wc_mp_to_bigint_sz(ecc_get_k(private_key),
|
|
&ecc_get_k(private_key)->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(point->x, &point->x->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(point->y, &point->y->raw, keySz);
|
|
#ifdef HAVE_CAVIUM_V
|
|
/* allocate buffer for output */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_alloc_mpint(private_key, &private_key->e);
|
|
if (err == MP_OKAY)
|
|
err = wc_bigint_alloc(&private_key->e->raw,
|
|
NitroxEccGetSize(private_key)*2);
|
|
if (err == MP_OKAY)
|
|
err = NitroxEcdh(private_key,
|
|
&ecc_get_k(private_key)->raw, &point->x->raw, &point->y->raw,
|
|
private_key->e->raw.buf, &private_key->e->raw.len,
|
|
&curve->prime->raw);
|
|
#else
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(private_key->dp, &curve, ECC_CURVE_FIELD_BF);
|
|
if (err == MP_OKAY)
|
|
err = IntelQaEcdh(&private_key->asyncDev,
|
|
&ecc_get_k(private_key)->raw, &point->x->raw, &point->y->raw,
|
|
out, outlen,
|
|
&curve->Af->raw, &curve->Bf->raw, &curve->prime->raw,
|
|
private_key->dp->cofactor);
|
|
#endif
|
|
}
|
|
else
|
|
#elif defined(WOLFSSL_ASYNC_CRYPT_SW)
|
|
if (wc_AsyncSwInit(&private_key->asyncDev, ASYNC_SW_ECC_SHARED_SEC)) {
|
|
WC_ASYNC_SW* sw = &private_key->asyncDev.sw;
|
|
sw->eccSharedSec.private_key = private_key;
|
|
sw->eccSharedSec.public_point = point;
|
|
sw->eccSharedSec.out = out;
|
|
sw->eccSharedSec.outLen = outlen;
|
|
err = WC_PENDING_E;
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
/* use sync in other cases */
|
|
err = wc_ecc_shared_secret_gen_sync(private_key, point, out, outlen);
|
|
}
|
|
|
|
if (err == WC_NO_ERR_TRACE(WC_PENDING_E)) {
|
|
private_key->state++;
|
|
}
|
|
|
|
#if defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
#ifndef WOLF_CRYPTO_CB_ONLY_ECC
|
|
/**
|
|
Create an ECC shared secret between private key and public point
|
|
private_key The private ECC key (heap hint based on private key)
|
|
point The point to use (public key)
|
|
out [out] Destination of the shared secret
|
|
Conforms to EC-DH from ANSI X9.63
|
|
outlen [in/out] The max size and resulting size of the shared secret
|
|
return MP_OKAY if successful
|
|
*/
|
|
int wc_ecc_shared_secret_ex(ecc_key* private_key, ecc_point* point,
|
|
byte* out, word32 *outlen)
|
|
{
|
|
int err;
|
|
|
|
if (private_key == NULL || point == NULL || out == NULL ||
|
|
outlen == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* type valid? */
|
|
if (private_key->type != ECC_PRIVATEKEY &&
|
|
private_key->type != ECC_PRIVATEKEY_ONLY) {
|
|
WOLFSSL_MSG("ECC_BAD_ARG_E");
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* Verify domain params supplied */
|
|
if (wc_ecc_is_valid_idx(private_key->idx) == 0 || private_key->dp == NULL) {
|
|
WOLFSSL_MSG("wc_ecc_is_valid_idx failed");
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
switch (private_key->state) {
|
|
case ECC_STATE_NONE:
|
|
case ECC_STATE_SHARED_SEC_GEN:
|
|
private_key->state = ECC_STATE_SHARED_SEC_GEN;
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
if (private_key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
err = wc_ecc_shared_secret_gen_async(private_key, point,
|
|
out, outlen);
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
err = wc_ecc_shared_secret_gen_sync(private_key, point,
|
|
out, outlen);
|
|
}
|
|
if (err < 0) {
|
|
break;
|
|
}
|
|
FALL_THROUGH;
|
|
|
|
case ECC_STATE_SHARED_SEC_RES:
|
|
private_key->state = ECC_STATE_SHARED_SEC_RES;
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
if (private_key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
#ifdef HAVE_CAVIUM_V
|
|
/* verify the curve is supported by hardware */
|
|
if (NitroxEccIsCurveSupported(private_key)) {
|
|
/* copy output */
|
|
*outlen = private_key->dp->size;
|
|
XMEMCPY(out, private_key->e->raw.buf, *outlen);
|
|
}
|
|
#endif /* HAVE_CAVIUM_V */
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT */
|
|
err = 0;
|
|
break;
|
|
|
|
default:
|
|
err = BAD_STATE_E;
|
|
} /* switch */
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
/* if async pending then return and skip done cleanup below */
|
|
if (err == WC_NO_ERR_TRACE(WC_PENDING_E)) {
|
|
return err;
|
|
}
|
|
|
|
/* cleanup */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
wc_ecc_free_async(private_key);
|
|
#endif
|
|
private_key->state = ECC_STATE_NONE;
|
|
|
|
return err;
|
|
}
|
|
#endif /* WOLF_CRYPTO_CB_ONLY_ECC */
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
int wc_ecc_shared_secret_ex(ecc_key* private_key, ecc_point* point,
|
|
byte* out, word32 *outlen)
|
|
{
|
|
int err;
|
|
ecc_key public_key;
|
|
|
|
err = wc_ecc_init_ex(&public_key, private_key->heap, INVALID_DEVID);
|
|
if (err == MP_OKAY) {
|
|
#if FIPS_VERSION3_GE(6,0,0)
|
|
/* Since we are allowing a pass-through of ecc_make_key_ex_fips when
|
|
* both keysize == 0 and curve_id == 0 ensure we select an appropriate
|
|
* keysize here when relying on default selection */
|
|
if (private_key->dp->size < WC_ECC_FIPS_GEN_MIN) {
|
|
if (private_key->dp->size == 0 &&
|
|
(private_key->dp->id == ECC_SECP256R1 ||
|
|
private_key->dp->id == ECC_SECP224R1 ||
|
|
private_key->dp->id == ECC_SECP384R1 ||
|
|
private_key->dp->id == ECC_SECP521R1)) {
|
|
WOLFSSL_MSG("ECC dp->size zero but dp->id sufficient for FIPS");
|
|
err = 0;
|
|
} else {
|
|
WOLFSSL_MSG("ECC curve too small for FIPS mode");
|
|
err = ECC_CURVE_OID_E;
|
|
}
|
|
}
|
|
if (err == 0) { /* FIPS specific check */
|
|
#endif
|
|
err = wc_ecc_set_curve(&public_key, private_key->dp->size,
|
|
private_key->dp->id);
|
|
if (err == MP_OKAY) {
|
|
err = mp_copy(point->x, public_key.pubkey.x);
|
|
}
|
|
#if FIPS_VERSION3_GE(6,0,0)
|
|
} /* end FIPS specific check */
|
|
#endif
|
|
if (err == MP_OKAY) {
|
|
err = mp_copy(point->y, public_key.pubkey.y);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_shared_secret(private_key, &public_key, out, outlen);
|
|
}
|
|
|
|
wc_ecc_free(&public_key);
|
|
}
|
|
|
|
return err;
|
|
}
|
|
#endif /* !WOLFSSL_ATECC508A && !WOLFSSL_CRYPTOCELL && !WOLFSSL_KCAPI_ECC */
|
|
#endif /* HAVE_ECC_DHE */
|
|
|
|
#ifdef USE_ECC_B_PARAM
|
|
/* Checks if a point p lies on the curve with index curve_idx */
|
|
int wc_ecc_point_is_on_curve(ecc_point *p, int curve_idx)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(3);
|
|
|
|
if (p == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* is the IDX valid ? */
|
|
if (wc_ecc_is_valid_idx(curve_idx) == 0) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(wc_ecc_get_curve_params(curve_idx), &curve,
|
|
ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF |
|
|
ECC_CURVE_FIELD_BF);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_is_point(p, curve->Af, curve->Bf, curve->prime);
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return err;
|
|
}
|
|
#endif /* USE_ECC_B_PARAM */
|
|
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL) && \
|
|
(!defined(WOLF_CRYPTO_CB_ONLY_ECC) || defined(WOLFSSL_QNX_CAAM) || \
|
|
defined(WOLFSSL_IMXRT1170_CAAM))
|
|
/* return 1 if point is at infinity, 0 if not, < 0 on error */
|
|
int wc_ecc_point_is_at_infinity(ecc_point* p)
|
|
{
|
|
if (p == NULL)
|
|
return BAD_FUNC_ARG;
|
|
if (mp_iszero(p->x) && mp_iszero(p->y))
|
|
return 1;
|
|
|
|
return 0;
|
|
}
|
|
#endif
|
|
|
|
/* generate random and ensure its greater than 0 and less than order */
|
|
int wc_ecc_gen_k(WC_RNG* rng, int size, mp_int* k, mp_int* order)
|
|
{
|
|
#ifndef WC_NO_RNG
|
|
#ifndef WOLFSSL_ECC_GEN_REJECT_SAMPLING
|
|
int err;
|
|
byte buf[ECC_MAXSIZE_GEN];
|
|
|
|
if (rng == NULL || size < 0 || size + 8 > ECC_MAXSIZE_GEN || k == NULL ||
|
|
order == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* generate 8 extra bytes to mitigate bias from the modulo operation below */
|
|
/* see section A.1.2 in 'Suite B Implementor's Guide to FIPS 186-3 (ECDSA)' */
|
|
size += 8;
|
|
|
|
/* make up random string */
|
|
err = wc_RNG_GenerateBlock(rng, buf, (word32)size);
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("wc_ecc_gen_k buf", buf, size);
|
|
#endif
|
|
|
|
/* load random buffer data into k */
|
|
if (err == 0)
|
|
err = mp_read_unsigned_bin(k, buf, (word32)size);
|
|
|
|
/* the key should be smaller than the order of base point */
|
|
if (err == MP_OKAY) {
|
|
if (mp_cmp(k, order) != MP_LT) {
|
|
err = mp_mod(k, order, k);
|
|
}
|
|
}
|
|
|
|
/* quick sanity check to make sure we're not dealing with a 0 key */
|
|
if (err == MP_OKAY) {
|
|
if (mp_iszero(k) == MP_YES)
|
|
err = MP_ZERO_E;
|
|
}
|
|
|
|
ForceZero(buf, ECC_MAXSIZE_GEN);
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Check(buf, ECC_MAXSIZE_GEN);
|
|
#endif
|
|
|
|
return err;
|
|
#else
|
|
int err;
|
|
byte buf[ECC_MAXSIZE_GEN];
|
|
int bits;
|
|
|
|
if ((rng == NULL) || (size < 0) || (size + 8 > ECC_MAXSIZE_GEN) ||
|
|
(k == NULL) || (order == NULL)) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* Get actual bit count of order. */
|
|
bits = mp_count_bits(order);
|
|
size = (bits + 7) >> 3;
|
|
|
|
/* generate number in range of order through rejection sampling. */
|
|
/* see section A.2.2 and A.4.2 in FIPS 186-5 */
|
|
do {
|
|
/* A.2.2 step 3: make up random string */
|
|
err = wc_RNG_GenerateBlock(rng, buf, (word32)size);
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("wc_ecc_gen_k buf", buf, size);
|
|
#endif
|
|
/* Generated multiple of 8 bits but now make it size of order. */
|
|
if ((bits & 0x7) > 0) {
|
|
buf[0] &= (1 << (bits & 0x7)) - 1;
|
|
}
|
|
|
|
/* A.2.2 step 4: convert to integer. */
|
|
/* A.4.2 step 3: Convert the bit string to integer x. */
|
|
if (err == 0) {
|
|
err = mp_read_unsigned_bin(k, buf, (word32)size);
|
|
}
|
|
|
|
/* A.4.2 step 4, 5: x must be in range [1, n-1] */
|
|
if ((err == MP_OKAY) && !mp_iszero(k) &&
|
|
(mp_cmp_ct(k, order, order->used) == MP_LT)) {
|
|
break;
|
|
}
|
|
}
|
|
while (err == MP_OKAY);
|
|
|
|
ForceZero(buf, ECC_MAXSIZE_GEN);
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Check(buf, ECC_MAXSIZE_GEN);
|
|
#endif
|
|
|
|
return err;
|
|
#endif
|
|
#else
|
|
(void)rng;
|
|
(void)size;
|
|
(void)k;
|
|
(void)order;
|
|
return NOT_COMPILED_IN;
|
|
#endif /* !WC_NO_RNG */
|
|
}
|
|
|
|
static WC_INLINE void wc_ecc_reset(ecc_key* key)
|
|
{
|
|
/* make sure required key variables are reset */
|
|
key->state = ECC_STATE_NONE;
|
|
}
|
|
|
|
|
|
/* create the public ECC key from a private key
|
|
*
|
|
* key an initialized private key to generate public part from
|
|
* curve [in]curve for key, cannot be NULL
|
|
* pubOut [out]ecc_point holding the public key, if NULL then public key part
|
|
* is cached in key instead.
|
|
*
|
|
* Note this function is local to the file because of the argument type
|
|
* ecc_curve_spec. Having this argument allows for not having to load the
|
|
* curve type multiple times when generating a key with wc_ecc_make_key().
|
|
* For async the results are placed directly into pubOut, so this function
|
|
* does not need to be called again
|
|
*
|
|
* returns MP_OKAY on success
|
|
*/
|
|
static int ecc_make_pub_ex(ecc_key* key, ecc_curve_spec* curve,
|
|
ecc_point* pubOut, WC_RNG* rng)
|
|
{
|
|
int err = MP_OKAY;
|
|
#ifdef HAVE_ECC_MAKE_PUB
|
|
ecc_point* pub;
|
|
#endif /* HAVE_ECC_MAKE_PUB */
|
|
|
|
(void)rng;
|
|
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
#ifdef HAVE_ECC_MAKE_PUB
|
|
/* if ecc_point passed in then use it as output for public key point */
|
|
if (pubOut != NULL) {
|
|
pub = pubOut;
|
|
}
|
|
else {
|
|
/* caching public key making it a ECC_PRIVATEKEY instead of
|
|
ECC_PRIVATEKEY_ONLY */
|
|
pub = &key->pubkey;
|
|
key->type = ECC_PRIVATEKEY_ONLY;
|
|
}
|
|
|
|
if ((err == MP_OKAY) && (mp_iszero(ecc_get_k(key)) ||
|
|
mp_isneg(ecc_get_k(key)) ||
|
|
(mp_cmp(ecc_get_k(key), curve->order) != MP_LT))) {
|
|
err = ECC_PRIV_KEY_E;
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifndef ALT_ECC_SIZE
|
|
err = mp_init_multi(pub->x, pub->y, pub->z, NULL, NULL, NULL);
|
|
#else
|
|
pub->x = (mp_int*)&pub->xyz[0];
|
|
pub->y = (mp_int*)&pub->xyz[1];
|
|
pub->z = (mp_int*)&pub->xyz[2];
|
|
alt_fp_init(pub->x);
|
|
alt_fp_init(pub->y);
|
|
alt_fp_init(pub->z);
|
|
#endif
|
|
}
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC_KEYGEN) && \
|
|
defined(HAVE_INTEL_QA)
|
|
if (err == MP_OKAY && key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
word32 keySz = key->dp->size;
|
|
/* sync private key to raw */
|
|
err = wc_mp_to_bigint_sz(ecc_get_k(key), &ecc_get_k(key)->raw, keySz);
|
|
if (err == MP_OKAY) {
|
|
err = IntelQaEccPointMul(&key->asyncDev,
|
|
&ecc_get_k(key)->raw, pub->x, pub->y, pub->z,
|
|
&curve->Gx->raw, &curve->Gy->raw,
|
|
&curve->Af->raw, &curve->Bf->raw, &curve->prime->raw,
|
|
key->dp->cofactor);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
{ /* BEGIN: Software Crypto */
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
/* Single-Precision Math (optimized for specific curves) */
|
|
if (err != MP_OKAY) {
|
|
}
|
|
else
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
err = sp_ecc_mulmod_base_256(ecc_get_k(key), pub, 1, key->heap);
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SP_NO_256 */
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
err = sp_ecc_mulmod_base_sm2_256(ecc_get_k(key), pub, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
err = sp_ecc_mulmod_base_384(ecc_get_k(key), pub, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
err = sp_ecc_mulmod_base_521(ecc_get_k(key), pub, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#endif /* WOLFSSL_HAVE_SP_ECC */
|
|
|
|
#if defined(WOLFSSL_SP_MATH)
|
|
err = WC_KEY_SIZE_E;
|
|
#else
|
|
if (err == MP_OKAY) {
|
|
/* Multi-Precision Math: compute public curve */
|
|
mp_digit mp = 0;
|
|
ecc_point* base = NULL;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_base;
|
|
base = &lcl_base;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&base, key->heap);
|
|
|
|
/* read in the x/y for this key */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gx, base->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gy, base->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_setup(curve->prime, &mp);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(base->z, 1);
|
|
|
|
/* make the public key */
|
|
if (err == MP_OKAY) {
|
|
/* Map in a separate call as this should be constant time */
|
|
err = wc_ecc_mulmod_ex2(ecc_get_k(key), base, pub, curve->Af,
|
|
curve->prime, curve->order, rng, 0, key->heap);
|
|
if (err == WC_NO_ERR_TRACE(MP_MEM)) {
|
|
err = MEMORY_E;
|
|
}
|
|
}
|
|
if (err == MP_OKAY) {
|
|
/* Use constant time map if compiled in */
|
|
err = ecc_map_ex(pub, curve->prime, mp, 1);
|
|
}
|
|
|
|
wc_ecc_del_point_ex(base, key->heap);
|
|
}
|
|
#endif /* WOLFSSL_SP_MATH */
|
|
} /* END: Software Crypto */
|
|
|
|
if (err != MP_OKAY
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
&& err != WC_NO_ERR_TRACE(WC_PENDING_E)
|
|
#endif
|
|
) {
|
|
/* clean up if failed */
|
|
#ifndef ALT_ECC_SIZE
|
|
mp_clear(pub->x);
|
|
mp_clear(pub->y);
|
|
mp_clear(pub->z);
|
|
#endif
|
|
}
|
|
|
|
#else
|
|
/* Using hardware crypto, that does not support ecc_make_pub_ex */
|
|
(void)curve;
|
|
err = NOT_COMPILED_IN;
|
|
#endif /* HAVE_ECC_MAKE_PUB */
|
|
|
|
/* change key state if public part is cached */
|
|
if (key->type == ECC_PRIVATEKEY_ONLY && pubOut == NULL) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return err;
|
|
}
|
|
|
|
|
|
/* create the public ECC key from a private key
|
|
*
|
|
* key an initialized private key to generate public part from
|
|
* pubOut [out]ecc_point holding the public key, if NULL then public key part
|
|
* is cached in key instead.
|
|
*
|
|
*
|
|
* returns MP_OKAY on success
|
|
*/
|
|
int wc_ecc_make_pub(ecc_key* key, ecc_point* pubOut)
|
|
{
|
|
WOLFSSL_ENTER("wc_ecc_make_pub");
|
|
|
|
return wc_ecc_make_pub_ex(key, pubOut, NULL);
|
|
}
|
|
|
|
/* create the public ECC key from a private key - mask timing use random z
|
|
*
|
|
* key an initialized private key to generate public part from
|
|
* pubOut [out]ecc_point holding the public key, if NULL then public key part
|
|
* is cached in key instead.
|
|
*
|
|
*
|
|
* returns MP_OKAY on success
|
|
*/
|
|
int wc_ecc_make_pub_ex(ecc_key* key, ecc_point* pubOut, WC_RNG* rng)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
|
|
|
|
WOLFSSL_ENTER("wc_ecc_make_pub_ex");
|
|
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* load curve info */
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = ecc_make_pub_ex(key, curve, pubOut, rng);
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
|
|
return err;
|
|
}
|
|
|
|
|
|
static int _ecc_make_key_ex(WC_RNG* rng, int keysize, ecc_key* key,
|
|
int curve_id, int flags)
|
|
{
|
|
int err = 0;
|
|
#if defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_ATECC508A) && \
|
|
!defined(WOLFSSL_ATECC608A)
|
|
const CRYS_ECPKI_Domain_t* pDomain;
|
|
CRYS_ECPKI_KG_TempData_t tempBuff;
|
|
CRYS_ECPKI_KG_FipsContext_t fipsCtx;
|
|
byte ucompressed_key[ECC_MAX_CRYPTO_HW_SIZE*2 + 1];
|
|
word32 raw_size = 0;
|
|
#endif
|
|
#if defined(WOLFSSL_HAVE_SP_ECC) && defined(WC_ECC_NONBLOCK) && \
|
|
defined(WC_ECC_NONBLOCK_ONLY)
|
|
ecc_nb_ctx_t nb_ctx;
|
|
XMEMSET(&nb_ctx, 0, sizeof(nb_ctx));
|
|
#endif /* WOLFSSL_HAVE_SP_ECC && WC_ECC_NONBLOCK && WC_ECC_NONBLOCK_ONLY */
|
|
|
|
if (key == NULL || rng == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* make sure required variables are reset */
|
|
wc_ecc_reset(key);
|
|
|
|
#if FIPS_VERSION3_GE(6,0,0)
|
|
/* Since we are allowing a pass-through of ecc_make_key_ex_fips when
|
|
* both keysize == 0 and curve_id == 0 ensure we select an appropriate
|
|
* keysize here when relying on default selection */
|
|
if (keysize < WC_ECC_FIPS_GEN_MIN) {
|
|
if (keysize == 0 && (curve_id == ECC_SECP256R1 ||
|
|
curve_id == ECC_SECP224R1 || curve_id == ECC_SECP384R1 ||
|
|
curve_id == ECC_SECP521R1)) {
|
|
WOLFSSL_MSG("ECC keysize zero but curve_id sufficient for FIPS");
|
|
err = 0;
|
|
} else {
|
|
WOLFSSL_MSG("ECC curve too small for FIPS mode");
|
|
err = ECC_CURVE_OID_E;
|
|
}
|
|
}
|
|
if (err == 0) { /* FIPS specific check */
|
|
#endif
|
|
err = wc_ecc_set_curve(key, keysize, curve_id);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
#if FIPS_VERSION3_GE(6,0,0)
|
|
} /* end FIPS specific check */
|
|
#endif
|
|
key->flags = (byte)flags;
|
|
|
|
#if defined(WOLF_CRYPTO_CB) && defined(HAVE_ECC_DHE)
|
|
#ifndef WOLF_CRYPTO_CB_FIND
|
|
if (key->devId != INVALID_DEVID)
|
|
#endif
|
|
{
|
|
err = wc_CryptoCb_MakeEccKey(rng, keysize, key, curve_id);
|
|
if (err != WC_NO_ERR_TRACE(CRYPTOCB_UNAVAILABLE))
|
|
return err;
|
|
/* fall-through when unavailable */
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLF_CRYPTO_CB_ONLY_ECC
|
|
return NO_VALID_DEVID;
|
|
#else /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
#ifdef HAVE_CAVIUM
|
|
/* TODO: Not implemented */
|
|
#elif defined(HAVE_INTEL_QA)
|
|
/* Implemented in ecc_make_pub_ex for the pub calc */
|
|
#elif defined(WOLFSSL_ASYNC_CRYPT_SW)
|
|
if (wc_AsyncSwInit(&key->asyncDev, ASYNC_SW_ECC_MAKE)) {
|
|
WC_ASYNC_SW* sw = &key->asyncDev.sw;
|
|
sw->eccMake.rng = rng;
|
|
sw->eccMake.key = key;
|
|
sw->eccMake.size = keysize;
|
|
sw->eccMake.curve_id = curve_id;
|
|
return WC_PENDING_E;
|
|
}
|
|
#endif
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
if (key->dp->id == ECC_SECP256R1) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
key->slot = atmel_ecc_alloc(ATMEL_SLOT_ECDHE);
|
|
err = atmel_ecc_create_key(key->slot, key->pubkey_raw);
|
|
|
|
/* populate key->pubkey */
|
|
if (err == 0
|
|
#ifdef ALT_ECC_SIZE
|
|
&& key->pubkey.x
|
|
#endif
|
|
) {
|
|
err = mp_read_unsigned_bin(key->pubkey.x, key->pubkey_raw,
|
|
ECC_MAX_CRYPTO_HW_SIZE);
|
|
}
|
|
if (err == 0
|
|
#ifdef ALT_ECC_SIZE
|
|
&& key->pubkey.y
|
|
#endif
|
|
) {
|
|
err = mp_read_unsigned_bin(key->pubkey.y,
|
|
key->pubkey_raw + ECC_MAX_CRYPTO_HW_SIZE,
|
|
ECC_MAX_CRYPTO_HW_SIZE);
|
|
}
|
|
}
|
|
else {
|
|
err = NOT_COMPILED_IN;
|
|
}
|
|
#elif defined(WOLFSSL_SE050)
|
|
err = se050_ecc_create_key(key, key->dp->id, key->dp->size);
|
|
key->type = ECC_PRIVATEKEY;
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
pDomain = CRYS_ECPKI_GetEcDomain(cc310_mapCurve(key->dp->id));
|
|
raw_size = (word32)(key->dp->size)*2 + 1;
|
|
|
|
/* generate first key pair */
|
|
err = CRYS_ECPKI_GenKeyPair(&wc_rndState,
|
|
wc_rndGenVectFunc,
|
|
pDomain,
|
|
&key->ctx.privKey,
|
|
&key->ctx.pubKey,
|
|
&tempBuff,
|
|
&fipsCtx);
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECPKI_GenKeyPair for key pair failed");
|
|
return err;
|
|
}
|
|
key->type = ECC_PRIVATEKEY;
|
|
|
|
err = CRYS_ECPKI_ExportPublKey(&key->ctx.pubKey,
|
|
CRYS_EC_PointUncompressed,
|
|
&ucompressed_key[0],
|
|
(uint32_t*)&raw_size);
|
|
|
|
if (err == SA_SILIB_RET_OK && key->pubkey.x && key->pubkey.y) {
|
|
err = mp_read_unsigned_bin(key->pubkey.x,
|
|
&ucompressed_key[1], key->dp->size);
|
|
if (err == MP_OKAY) {
|
|
err = mp_read_unsigned_bin(key->pubkey.y,
|
|
&ucompressed_key[1+key->dp->size],key->dp->size);
|
|
}
|
|
}
|
|
raw_size = key->dp->size;
|
|
if (err == MP_OKAY) {
|
|
err = CRYS_ECPKI_ExportPrivKey(&key->ctx.privKey,
|
|
ucompressed_key,
|
|
(uint32_t*)&raw_size);
|
|
}
|
|
|
|
if (err == SA_SILIB_RET_OK) {
|
|
err = mp_read_unsigned_bin(key->k, ucompressed_key, raw_size);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (err == MP_OKAY) {
|
|
err = ecc_blind_k_rng(key, rng);
|
|
}
|
|
#endif
|
|
}
|
|
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
return silabs_ecc_make_key(key, keysize);
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
|
|
err = KcapiEcc_MakeKey(key, keysize, curve_id);
|
|
(void)rng;
|
|
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
if (xil_curve_type[key->dp->id] == 0)
|
|
return ECC_CURVE_OID_E;
|
|
|
|
err = wc_RNG_GenerateBlock(rng, key->privKey, key->dp->size);
|
|
if (err)
|
|
return err;
|
|
/* Make sure that private key is max. 521 bits */
|
|
if (key->dp->size == 66)
|
|
key->privKey[65] &= 0x1U;
|
|
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->privKey), key->dp->size);
|
|
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->keyRaw),
|
|
2 * key->dp->size);
|
|
|
|
err = XSecure_EllipticGenerateKey(&(key->xSec.cinst),
|
|
xil_curve_type[key->dp->id],
|
|
XIL_CAST_U64(key->privKey),
|
|
XIL_CAST_U64(key->keyRaw));
|
|
if (err != XST_SUCCESS) {
|
|
WOLFSSL_XIL_ERROR("Generate ECC key failed", err);
|
|
err = WC_HW_E;
|
|
}
|
|
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->keyRaw),
|
|
2 * key->dp->size);
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
|
|
if (err == 0)
|
|
err = XSecure_EllipticValidateKey(&(key->xSec.cinst),
|
|
xil_curve_type[key->dp->id],
|
|
XIL_CAST_U64(key->keyRaw));
|
|
#endif
|
|
|
|
if (err == 0)
|
|
err = xil_mpi_import(key->pubkey.x, key->keyRaw, key->dp->size,
|
|
key->heap);
|
|
if (err == 0)
|
|
err = xil_mpi_import(key->pubkey.y, key->keyRaw + key->dp->size,
|
|
key->dp->size, key->heap);
|
|
if (err == 0)
|
|
err = xil_mpi_import(key->k, key->privKey, key->dp->size,
|
|
key->heap);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (err == 0)
|
|
err = ecc_blind_k_rng(key, rng);
|
|
#endif
|
|
if (err == 0)
|
|
err = mp_set(key->pubkey.z, 1);
|
|
if (err) {
|
|
key->privKey = NULL;
|
|
XMEMSET(key->keyRaw, 0, sizeof(key->keyRaw));
|
|
return err;
|
|
}
|
|
|
|
key->type = ECC_PRIVATEKEY;
|
|
|
|
#else
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_make_key_256(rng, key->k, &key->pubkey, key->heap);
|
|
#else
|
|
if (key->nb_ctx) {
|
|
err = sp_ecc_make_key_256_nb(&key->nb_ctx->sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_make_key_256_nb(&nb_ctx.sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_make_key_256(rng, key->k, &key->pubkey, key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
|
|
if (err == MP_OKAY) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
}
|
|
else
|
|
#endif /* !WOLFSSL_SP_NO_256 */
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
err = sp_ecc_make_key_sm2_256(rng, key->k, &key->pubkey, key->heap);
|
|
if (err == MP_OKAY) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_make_key_384(rng, key->k, &key->pubkey, key->heap);
|
|
#else
|
|
if (key->nb_ctx) {
|
|
err = sp_ecc_make_key_384_nb(&key->nb_ctx->sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_make_key_384_nb(&nb_ctx.sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_make_key_384(rng, key->k, &key->pubkey, key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
|
|
if (err == MP_OKAY) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SP_384 */
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
#ifndef WC_ECC_NONBLOCK
|
|
err = sp_ecc_make_key_521(rng, key->k, &key->pubkey, key->heap);
|
|
#else
|
|
if (key->nb_ctx) {
|
|
err = sp_ecc_make_key_521_nb(&key->nb_ctx->sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
}
|
|
else {
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_make_key_521_nb(&nb_ctx.sp_ctx, rng, key->k,
|
|
&key->pubkey, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
#else
|
|
err = sp_ecc_make_key_521(rng, key->k, &key->pubkey, key->heap);
|
|
#endif /* WC_ECC_NONBLOCK_ONLY */
|
|
}
|
|
#endif /* !WC_ECC_NONBLOCK */
|
|
|
|
if (err == MP_OKAY) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_SP_521 */
|
|
#endif /* WOLFSSL_HAVE_SP_ECC */
|
|
|
|
{ /* software key gen */
|
|
#if defined(WOLFSSL_SP_MATH)
|
|
err = WC_KEY_SIZE_E;
|
|
#else
|
|
DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
|
|
|
|
/* setup the key variables */
|
|
#ifndef ALT_ECC_SIZE
|
|
err = mp_init(key->k);
|
|
#else
|
|
err = 0;
|
|
key->k = (mp_int*)key->ka;
|
|
alt_fp_init(key->k);
|
|
#endif
|
|
|
|
/* load curve info */
|
|
if (err == MP_OKAY) {
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("ALLOC_CURVE_SPECS failed");
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("wc_ecc_curve_load failed");
|
|
}
|
|
}
|
|
|
|
/* generate k */
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_gen_k(rng, key->dp->size, key->k, curve->order);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("wc_ecc_gen_k failed");
|
|
}
|
|
}
|
|
|
|
/* generate public key from k */
|
|
if (err == MP_OKAY) {
|
|
err = ecc_make_pub_ex(key, curve, NULL, rng);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("ecc_make_pub_ex failed");
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
|| err == WC_NO_ERR_TRACE(WC_PENDING_E)
|
|
#endif
|
|
) {
|
|
key->type = ECC_PRIVATEKEY;
|
|
}
|
|
else {
|
|
/* cleanup these on failure case only */
|
|
mp_forcezero(key->k);
|
|
}
|
|
|
|
/* cleanup allocations */
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
#endif /* WOLFSSL_SP_MATH */
|
|
}
|
|
|
|
#ifdef HAVE_WOLF_BIGINT
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint(key->k, &key->k->raw);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint(key->pubkey.x, &key->pubkey.x->raw);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint(key->pubkey.y, &key->pubkey.y->raw);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint(key->pubkey.z, &key->pubkey.z->raw);
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (err == MP_OKAY)
|
|
err = ecc_blind_k_rng(key, rng);
|
|
#endif
|
|
|
|
#endif /* HAVE_ECC_MAKE_PUB */
|
|
|
|
return err;
|
|
#endif /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
}
|
|
|
|
|
|
int wc_ecc_make_key_ex2(WC_RNG* rng, int keysize, ecc_key* key, int curve_id,
|
|
int flags)
|
|
{
|
|
int err;
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
err = _ecc_make_key_ex(rng, keysize, key, curve_id, flags);
|
|
|
|
#if (FIPS_VERSION_GE(5,0) || defined(WOLFSSL_VALIDATE_ECC_KEYGEN)) && \
|
|
!defined(WOLFSSL_KCAPI_ECC)
|
|
if (err == MP_OKAY) {
|
|
err = _ecc_validate_public_key(key, 0, 0);
|
|
}
|
|
if (err == MP_OKAY
|
|
#if defined(WOLF_CRYPTO_CB)
|
|
/* even if WOLF_CRYPTO_CB we generate the key if the devId is invalid */
|
|
&& key->devId == INVALID_DEVID
|
|
#endif
|
|
) {
|
|
err = _ecc_pairwise_consistency_test(key, rng);
|
|
}
|
|
#endif
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return err;
|
|
}
|
|
|
|
WOLFSSL_ABI
|
|
int wc_ecc_make_key_ex(WC_RNG* rng, int keysize, ecc_key* key, int curve_id)
|
|
{
|
|
return wc_ecc_make_key_ex2(rng, keysize, key, curve_id, WC_ECC_FLAG_NONE);
|
|
}
|
|
|
|
#ifdef ECC_DUMP_OID
|
|
/* Optional dump of encoded OID for adding new curves */
|
|
static int mOidDumpDone;
|
|
static void wc_ecc_dump_oids(void)
|
|
{
|
|
int x;
|
|
|
|
if (mOidDumpDone) {
|
|
return;
|
|
}
|
|
|
|
/* find matching OID sum (based on encoded value) */
|
|
for (x = 0; ecc_sets[x].size != 0; x++) {
|
|
int i;
|
|
byte* oid;
|
|
word32 oidSz, sum = 0;
|
|
|
|
printf("ECC %s (%d):\n", ecc_sets[x].name, x);
|
|
|
|
#ifdef HAVE_OID_ENCODING
|
|
byte oidEnc[ECC_MAX_OID_LEN];
|
|
|
|
oid = oidEnc;
|
|
oidSz = ECC_MAX_OID_LEN;
|
|
|
|
printf("OID: ");
|
|
for (i = 0; i < (int)ecc_sets[x].oidSz; i++) {
|
|
printf("%d.", ecc_sets[x].oid[i]);
|
|
}
|
|
printf("\n");
|
|
|
|
EncodeObjectId(ecc_sets[x].oid, ecc_sets[x].oidSz, oidEnc, &oidSz);
|
|
#else
|
|
oid = (byte*)ecc_sets[x].oid;
|
|
oidSz = ecc_sets[x].oidSz;
|
|
#endif
|
|
|
|
printf("OID Encoded: ");
|
|
for (i = 0; i < (int)oidSz; i++) {
|
|
printf("0x%02X,", oid[i]);
|
|
}
|
|
printf("\n");
|
|
|
|
for (i = 0; i < (int)oidSz; i++) {
|
|
sum += oid[i];
|
|
}
|
|
printf("Sum: %u\n", sum);
|
|
|
|
/* validate sum */
|
|
if (ecc_sets[x].oidSum != sum) {
|
|
fprintf(stderr, " Sum %u Not Valid!\n", ecc_sets[x].oidSum);
|
|
}
|
|
}
|
|
mOidDumpDone = 1;
|
|
}
|
|
#endif /* ECC_DUMP_OID */
|
|
|
|
|
|
WOLFSSL_ABI
|
|
ecc_key* wc_ecc_key_new(void* heap)
|
|
{
|
|
int devId = INVALID_DEVID;
|
|
ecc_key* key;
|
|
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
/* assume all keys are using CAAM for ECC unless explicitly set otherwise */
|
|
devId = WOLFSSL_CAAM_DEVID;
|
|
#endif
|
|
key = (ecc_key*)XMALLOC(sizeof(ecc_key), heap, DYNAMIC_TYPE_ECC);
|
|
if (key) {
|
|
if (wc_ecc_init_ex(key, heap, devId) != 0) {
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC);
|
|
key = NULL;
|
|
}
|
|
}
|
|
|
|
return key;
|
|
}
|
|
|
|
|
|
WOLFSSL_ABI
|
|
void wc_ecc_key_free(ecc_key* key)
|
|
{
|
|
if (key) {
|
|
void* heap = key->heap;
|
|
|
|
wc_ecc_free(key);
|
|
ForceZero(key, sizeof(ecc_key));
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC);
|
|
(void)heap;
|
|
}
|
|
}
|
|
|
|
|
|
/**
|
|
Make a new ECC key
|
|
rng An active RNG state
|
|
keysize The keysize for the new key (in octets from 20 to 65 bytes)
|
|
key [out] Destination of the newly created key
|
|
return MP_OKAY if successful,
|
|
upon error all allocated memory will be freed
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_make_key(WC_RNG* rng, int keysize, ecc_key* key)
|
|
{
|
|
return wc_ecc_make_key_ex(rng, keysize, key, ECC_CURVE_DEF);
|
|
}
|
|
|
|
/* Setup dynamic pointers if using normal math for proper freeing */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_init_ex(ecc_key* key, void* heap, int devId)
|
|
{
|
|
int ret = 0;
|
|
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
#ifdef ECC_DUMP_OID
|
|
wc_ecc_dump_oids();
|
|
#endif
|
|
|
|
XMEMSET(key, 0, sizeof(ecc_key));
|
|
key->state = ECC_STATE_NONE;
|
|
|
|
#if defined(PLUTON_CRYPTO_ECC) || defined(WOLF_CRYPTO_CB)
|
|
key->devId = devId;
|
|
#else
|
|
(void)devId;
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
key->slot = ATECC_INVALID_SLOT;
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
key->handle = NULL;
|
|
#else
|
|
#ifdef ALT_ECC_SIZE
|
|
key->pubkey.x = (mp_int*)&key->pubkey.xyz[0];
|
|
key->pubkey.y = (mp_int*)&key->pubkey.xyz[1];
|
|
key->pubkey.z = (mp_int*)&key->pubkey.xyz[2];
|
|
alt_fp_init(key->pubkey.x);
|
|
alt_fp_init(key->pubkey.y);
|
|
alt_fp_init(key->pubkey.z);
|
|
key->k = (mp_int*)key->ka;
|
|
alt_fp_init(key->k);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
key->kb = (mp_int*)key->kba;
|
|
key->ku = (mp_int*)key->kia;
|
|
alt_fp_init(key->kb);
|
|
alt_fp_init(key->ku);
|
|
#endif
|
|
#else
|
|
ret = mp_init_multi(key->k, key->pubkey.x, key->pubkey.y, key->pubkey.z,
|
|
#ifndef WOLFSSL_ECC_BLIND_K
|
|
NULL, NULL
|
|
#else
|
|
key->kb, key->ku
|
|
#endif
|
|
);
|
|
if (ret != MP_OKAY) {
|
|
return MEMORY_E;
|
|
}
|
|
#endif /* ALT_ECC_SIZE */
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
mp_forcezero(key->kb);
|
|
#endif
|
|
#endif /* WOLFSSL_ATECC508A */
|
|
#if (defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)) && \
|
|
defined(WOLFSSL_NO_MALLOC)
|
|
ret = mp_init(key->sign_k);
|
|
if (ret != MP_OKAY) {
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_HEAP_TEST
|
|
(void)heap;
|
|
key->heap = (void*)WOLFSSL_HEAP_TEST;
|
|
#else
|
|
key->heap = heap;
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
#ifdef WOLF_CRYPTO_CB
|
|
/* prefer crypto callback */
|
|
if (key->devId != INVALID_DEVID)
|
|
#endif
|
|
{
|
|
/* handle as async */
|
|
ret = wolfAsync_DevCtxInit(&key->asyncDev, WOLFSSL_ASYNC_MARKER_ECC,
|
|
key->heap, devId);
|
|
}
|
|
if (ret != 0)
|
|
return ret;
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_DSP)
|
|
key->handle = -1;
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SE050
|
|
key->keyId = 0;
|
|
key->keyIdSet = 0;
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
mp_memzero_add("ECC k", key->k);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
mp_memzero_add("ECC kb", key->kb);
|
|
mp_memzero_add("ECC ku", key->ku);
|
|
#endif
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
key->privKey = key->keyRaw + (2 * ECC_MAX_CRYPTO_HW_SIZE);
|
|
|
|
if (wc_InitXsecure(&(key->xSec))) {
|
|
WOLFSSL_MSG("Can't initialize Xsecure");
|
|
return WC_HW_E;
|
|
}
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
WOLFSSL_ABI
|
|
int wc_ecc_init(ecc_key* key)
|
|
{
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
return wc_ecc_init_ex(key, NULL, WOLFSSL_CAAM_DEVID);
|
|
#else
|
|
return wc_ecc_init_ex(key, NULL, INVALID_DEVID);
|
|
#endif
|
|
}
|
|
|
|
#ifdef WOLF_PRIVATE_KEY_ID
|
|
int wc_ecc_init_id(ecc_key* key, unsigned char* id, int len, void* heap,
|
|
int devId)
|
|
{
|
|
int ret = 0;
|
|
#ifdef WOLFSSL_SE050
|
|
/* SE050 TLS users store a word32 at id, need to cast back */
|
|
word32* keyPtr = NULL;
|
|
#endif
|
|
|
|
if (key == NULL)
|
|
ret = BAD_FUNC_ARG;
|
|
if (ret == 0 && (len < 0 || len > ECC_MAX_ID_LEN))
|
|
ret = BUFFER_E;
|
|
if (ret == 0)
|
|
ret = wc_ecc_init_ex(key, heap, devId);
|
|
if (ret == 0 && id != NULL && len != 0) {
|
|
XMEMCPY(key->id, id, (size_t)len);
|
|
key->idLen = len;
|
|
#ifdef WOLFSSL_SE050
|
|
/* Set SE050 ID from word32, populate ecc_key with public from SE050 */
|
|
if (len == (int)sizeof(word32)) {
|
|
keyPtr = (word32*)key->id;
|
|
ret = wc_ecc_use_key_id(key, *keyPtr, 0);
|
|
}
|
|
#endif
|
|
}
|
|
|
|
return ret;
|
|
}
|
|
|
|
int wc_ecc_init_label(ecc_key* key, const char* label, void* heap, int devId)
|
|
{
|
|
int ret = 0;
|
|
int labelLen = 0;
|
|
|
|
if (key == NULL || label == NULL)
|
|
ret = BAD_FUNC_ARG;
|
|
if (ret == 0) {
|
|
labelLen = (int)XSTRLEN(label);
|
|
if (labelLen == 0 || labelLen > ECC_MAX_LABEL_LEN)
|
|
ret = BUFFER_E;
|
|
}
|
|
if (ret == 0)
|
|
ret = wc_ecc_init_ex(key, heap, devId);
|
|
if (ret == 0) {
|
|
XMEMCPY(key->label, label, (size_t)labelLen);
|
|
key->labelLen = labelLen;
|
|
}
|
|
|
|
return ret;
|
|
}
|
|
#endif /* WOLF_PRIVATE_KEY_ID */
|
|
|
|
int wc_ecc_set_flags(ecc_key* key, word32 flags)
|
|
{
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
key->flags |= flags;
|
|
return 0;
|
|
}
|
|
|
|
|
|
static int wc_ecc_get_curve_order_bit_count(const ecc_set_type* dp)
|
|
{
|
|
int err = MP_OKAY;
|
|
int orderBits;
|
|
DECLARE_CURVE_SPECS(1);
|
|
|
|
ALLOC_CURVE_SPECS(1, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
}
|
|
|
|
if (err != 0) {
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
orderBits = mp_count_bits(curve->order);
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
return orderBits;
|
|
}
|
|
|
|
#ifdef HAVE_ECC_SIGN
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A) || \
|
|
defined(PLUTON_CRYPTO_ECC) || defined(WOLFSSL_CRYPTOCELL) || \
|
|
defined(WOLFSSL_SILABS_SE_ACCEL) || defined(WOLFSSL_KCAPI_ECC) || \
|
|
defined(WOLFSSL_SE050) || defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
static int wc_ecc_sign_hash_hw(const byte* in, word32 inlen,
|
|
mp_int* r, mp_int* s, byte* out, word32 *outlen, WC_RNG* rng,
|
|
ecc_key* key)
|
|
{
|
|
int err;
|
|
#ifdef PLUTON_CRYPTO_ECC
|
|
if (key->devId != INVALID_DEVID) /* use hardware */
|
|
#endif
|
|
{
|
|
#if defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_ATECC508A) && \
|
|
!defined(WOLFSSL_ATECC608A)
|
|
CRYS_ECDSA_SignUserContext_t sigCtxTemp;
|
|
word32 raw_sig_size = *outlen;
|
|
word32 msgLenInBytes = inlen;
|
|
CRYS_ECPKI_HASH_OpMode_t hash_mode;
|
|
#endif
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* K = NULL;
|
|
byte* incopy = NULL;
|
|
#else
|
|
byte K[MAX_ECC_BYTES] = {0};
|
|
byte incopy[MAX_ECC_BYTES] = {0};
|
|
#endif
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
word32 Ksize;
|
|
#endif
|
|
#endif
|
|
word32 keysize = (word32)key->dp->size;
|
|
#ifdef PLUTON_CRYPTO_ECC
|
|
word32 orderBits = wc_ecc_get_curve_order_bit_count(key->dp);
|
|
#endif
|
|
|
|
#ifndef WOLFSSL_KCAPI_ECC
|
|
/* Check args */
|
|
if (keysize > ECC_MAX_CRYPTO_HW_SIZE || *outlen < keysize*2) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* Sign: Result is 32-bytes of R then 32-bytes of S */
|
|
err = atmel_ecc_sign(key->slot, in, out);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
#elif defined(PLUTON_CRYPTO_ECC)
|
|
{
|
|
/* if the input is larger than curve order, we must truncate */
|
|
if ((inlen * WOLFSSL_BIT_SIZE) > orderBits) {
|
|
inlen = (orderBits + WOLFSSL_BIT_SIZE - 1) / WOLFSSL_BIT_SIZE;
|
|
}
|
|
|
|
/* perform ECC sign */
|
|
word32 raw_sig_size = *outlen;
|
|
err = Crypto_EccSign(in, inlen, out, &raw_sig_size);
|
|
if (err != CRYPTO_RES_SUCCESS || raw_sig_size != keysize*2){
|
|
return BAD_COND_E;
|
|
}
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
err = silabs_ecc_sign_hash(in, inlen, out, outlen, key);
|
|
if (err != 0) {
|
|
return WC_HW_E;
|
|
}
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
/* truncate if hash is longer than key size */
|
|
if (msgLenInBytes > keysize) {
|
|
msgLenInBytes = keysize;
|
|
}
|
|
hash_mode = cc310_hashModeECC(msgLenInBytes);
|
|
if (hash_mode == CRYS_ECPKI_HASH_OpModeLast) {
|
|
(void)cc310_hashModeECC(keysize);
|
|
/* Ignoring returned value */
|
|
hash_mode = CRYS_ECPKI_HASH_SHA256_mode;
|
|
|
|
}
|
|
|
|
/* create signature from an input buffer using a private key*/
|
|
err = CRYS_ECDSA_Sign(&wc_rndState,
|
|
wc_rndGenVectFunc,
|
|
&sigCtxTemp,
|
|
&key->ctx.privKey,
|
|
hash_mode,
|
|
(byte*)in,
|
|
msgLenInBytes,
|
|
out,
|
|
(uint32_t*)&raw_sig_size);
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECDSA_Sign failed");
|
|
return err;
|
|
}
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
err = KcapiEcc_Sign(key, in, inlen, out, *outlen);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
(void)rng;
|
|
#elif defined(WOLFSSL_SE050)
|
|
err = se050_ecc_sign_hash_ex(in, inlen, r, s, out, outlen, key);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
(void)rng;
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
K = (byte*)XMALLOC(keysize, key->heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
incopy = (byte*)XMALLOC(inlen, key->heap, DYNAMIC_TYPE_HASH_TMP);
|
|
if (K == NULL || incopy == NULL) {
|
|
XFREE(incopy, key->heap, DYNAMIC_TYPE_HASH_TMP);
|
|
XFREE(K, key->heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
return MEMORY_E;
|
|
}
|
|
#else
|
|
if (inlen > sizeof(incopy))
|
|
return ECC_BAD_ARG_E;
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
err = deterministic_sign_helper(in, inlen, key);
|
|
if (err)
|
|
return err;
|
|
Ksize = mp_unsigned_bin_size(key->sign_k);
|
|
if (Ksize > keysize) {
|
|
err = BUFFER_E;
|
|
goto error_out;
|
|
}
|
|
err = mp_to_unsigned_bin(key->sign_k, K);
|
|
if (err)
|
|
goto error_out;
|
|
mp_reverse(K, Ksize);
|
|
#else
|
|
err = wc_RNG_GenerateBlock(rng, K, keysize);
|
|
if (err)
|
|
goto error_out;
|
|
/* Make sure that K is max. 521 bits */
|
|
if (keysize == 66)
|
|
K[65] &= 0x1;
|
|
#endif
|
|
buf_reverse(incopy, in, inlen < keysize ? inlen : keysize);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(incopy), keysize);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->privKey), keysize);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(K), keysize);
|
|
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(out), keysize * 2);
|
|
|
|
err = XSecure_EllipticGenerateSign(&(key->xSec.cinst),
|
|
xil_curve_type[key->dp->id],
|
|
XIL_CAST_U64(incopy), keysize,
|
|
XIL_CAST_U64(key->privKey),
|
|
XIL_CAST_U64(K),
|
|
XIL_CAST_U64(out));
|
|
if (err) {
|
|
WOLFSSL_XIL_ERROR("Generate ECC signature failed", err);
|
|
err = WC_HW_E;
|
|
}
|
|
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(out), keysize * 2);
|
|
mp_reverse(&out[0], keysize);
|
|
mp_reverse(&out[keysize], keysize);
|
|
|
|
error_out:
|
|
ForceZero(K, MAX_ECC_BYTES);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(incopy, key->heap, DYNAMIC_TYPE_HASH_TMP);
|
|
XFREE(K, key->heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
#endif
|
|
if (err) {
|
|
ForceZero(out, keysize * 2);
|
|
return err;
|
|
}
|
|
#endif /* HW-specific #if-#elif chain */
|
|
|
|
#ifndef WOLFSSL_SE050
|
|
/* Load R and S, SE050 does this in port layer */
|
|
err = mp_read_unsigned_bin(r, &out[0], keysize);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
err = mp_read_unsigned_bin(s, &out[keysize], keysize);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
#endif
|
|
|
|
/* Check for zeros */
|
|
if (mp_iszero(r) || mp_iszero(s)) {
|
|
return MP_ZERO_E;
|
|
}
|
|
}
|
|
#ifdef PLUTON_CRYPTO_ECC
|
|
else {
|
|
err = wc_ecc_sign_hash_ex(in, inlen, rng, key, r, s);
|
|
}
|
|
#endif
|
|
(void)rng;
|
|
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_ATECC508A || PLUTON_CRYPTO_ECC || WOLFSSL_CRYPTOCELL */
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
static int wc_ecc_sign_hash_async(const byte* in, word32 inlen, byte* out,
|
|
word32 *outlen, WC_RNG* rng, ecc_key* key)
|
|
{
|
|
int err;
|
|
mp_int *r = NULL, *s = NULL;
|
|
|
|
if (in == NULL || out == NULL || outlen == NULL || key == NULL ||
|
|
rng == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
err = wc_ecc_alloc_async(key);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
r = key->r;
|
|
s = key->s;
|
|
|
|
switch (key->state) {
|
|
case ECC_STATE_NONE:
|
|
case ECC_STATE_SIGN_DO:
|
|
key->state = ECC_STATE_SIGN_DO;
|
|
|
|
if ((err = mp_init_multi(r, s, NULL, NULL, NULL, NULL)) != MP_OKAY){
|
|
break;
|
|
}
|
|
|
|
err = wc_ecc_sign_hash_ex(in, inlen, rng, key, r, s);
|
|
if (err < 0) {
|
|
break;
|
|
}
|
|
|
|
FALL_THROUGH;
|
|
|
|
case ECC_STATE_SIGN_ENCODE:
|
|
key->state = ECC_STATE_SIGN_ENCODE;
|
|
|
|
if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT_SW) && defined(HAVE_ECC_CDH)
|
|
DECLARE_CURVE_SPECS(1);
|
|
ALLOC_CURVE_SPECS(1, err);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("ALLOC_CURVE_SPECS failed");
|
|
break;
|
|
}
|
|
|
|
/* get curve order */
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
#endif
|
|
|
|
#ifdef HAVE_CAVIUM_V
|
|
/* Nitrox requires r and s in sep buffer, so split it */
|
|
NitroxEccRsSplit(key, &r->raw, &s->raw);
|
|
#endif
|
|
#ifndef WOLFSSL_ASYNC_CRYPT_SW
|
|
/* only do this if not software, since it overwrites result */
|
|
wc_bigint_to_mp(&r->raw, r);
|
|
wc_bigint_to_mp(&s->raw, s);
|
|
|
|
/* if using a curve with cofactor != 1 then reduce by mod order */
|
|
#ifdef HAVE_ECC_CDH
|
|
/* if r is not less than order than reduce */
|
|
if (err == 0 && mp_count_bits(r) > mp_count_bits(curve->order)) {
|
|
err = mp_mod(r, curve->order, r);
|
|
}
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
#endif
|
|
#endif /* !WOLFSSL_ASYNC_CRYPT_SW */
|
|
}
|
|
|
|
/* encoded with DSA header */
|
|
if (err == 0) {
|
|
err = StoreECC_DSA_Sig(out, outlen, r, s);
|
|
}
|
|
|
|
/* done with R/S */
|
|
mp_clear(r);
|
|
mp_clear(s);
|
|
break;
|
|
|
|
default:
|
|
err = BAD_STATE_E;
|
|
break;
|
|
}
|
|
|
|
/* if async pending then return and skip done cleanup below */
|
|
if (err == WC_NO_ERR_TRACE(WC_PENDING_E)) {
|
|
key->state++;
|
|
return err;
|
|
}
|
|
|
|
/* cleanup */
|
|
wc_ecc_free_async(key);
|
|
key->state = ECC_STATE_NONE;
|
|
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
/**
|
|
Sign a message digest
|
|
in The message digest to sign
|
|
inlen The length of the digest
|
|
out [out] The destination for the signature
|
|
outlen [in/out] The max size and resulting size of the signature
|
|
key A private ECC key
|
|
return MP_OKAY if successful
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_sign_hash(const byte* in, word32 inlen, byte* out, word32 *outlen,
|
|
WC_RNG* rng, ecc_key* key)
|
|
{
|
|
int err;
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(WC_ASYNC_ENABLE_ECC)
|
|
DECL_MP_INT_SIZE_DYN(r, ECC_KEY_MAX_BITS(key), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(s, ECC_KEY_MAX_BITS(key), MAX_ECC_BITS_USE);
|
|
#endif
|
|
#ifdef NO_ASN
|
|
word32 keySz;
|
|
#endif
|
|
|
|
if (in == NULL || out == NULL || outlen == NULL || key == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#ifdef WOLF_CRYPTO_CB
|
|
#ifndef WOLF_CRYPTO_CB_FIND
|
|
if (key->devId != INVALID_DEVID)
|
|
#endif
|
|
{
|
|
err = wc_CryptoCb_EccSign(in, inlen, out, outlen, rng, key);
|
|
if (err != WC_NO_ERR_TRACE(CRYPTOCB_UNAVAILABLE))
|
|
return err;
|
|
/* fall-through when unavailable */
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLF_CRYPTO_CB_ONLY_ECC
|
|
(void)rng;
|
|
(void)inlen;
|
|
(void)s;
|
|
(void)r;
|
|
(void)err;
|
|
return NO_VALID_DEVID;
|
|
#else /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
if (rng == NULL) {
|
|
WOLFSSL_MSG("ECC sign RNG missing");
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
/* handle async cases */
|
|
err = wc_ecc_sign_hash_async(in, inlen, out, outlen, rng, key);
|
|
#else
|
|
|
|
NEW_MP_INT_SIZE(r, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (r == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
NEW_MP_INT_SIZE(s, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (s == NULL) {
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
err = INIT_MP_INT_SIZE(r, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
if (err != 0) {
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
err = INIT_MP_INT_SIZE(s, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
if (err != 0) {
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
|
|
/* hardware crypto */
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A) || \
|
|
defined(PLUTON_CRYPTO_ECC) || defined(WOLFSSL_CRYPTOCELL) || \
|
|
defined(WOLFSSL_SILABS_SE_ACCEL) || defined(WOLFSSL_KCAPI_ECC) || \
|
|
defined(WOLFSSL_SE050) || defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
err = wc_ecc_sign_hash_hw(in, inlen, r, s, out, outlen, rng, key);
|
|
#else
|
|
err = wc_ecc_sign_hash_ex(in, inlen, rng, key, r, s);
|
|
#endif
|
|
if (err < 0) {
|
|
mp_clear(r);
|
|
mp_clear(s);
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
|
|
#ifndef NO_ASN
|
|
/* encoded with DSA header */
|
|
err = StoreECC_DSA_Sig(out, outlen, r, s);
|
|
#else
|
|
/* No support for DSA ASN.1 header.
|
|
* Signature will be r+s directly. */
|
|
keySz = 0;
|
|
if (key->dp != NULL) {
|
|
keySz = (word32)key->dp->size;
|
|
}
|
|
if (keySz <= 0) {
|
|
WOLFSSL_MSG("Error: ECDSA sign raw signature size");
|
|
return WC_NO_ERR_TRACE(ECC_BAD_ARG_E);
|
|
}
|
|
*outlen = keySz * 2;
|
|
|
|
/* Export signature into r,s */
|
|
mp_to_unsigned_bin_len(r, out, keySz);
|
|
mp_to_unsigned_bin_len(s, out + keySz, keySz);
|
|
#endif /* !NO_ASN */
|
|
|
|
/* cleanup */
|
|
mp_clear(r);
|
|
mp_clear(s);
|
|
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif /* WOLFSSL_ASYNC_CRYPT */
|
|
return err;
|
|
#endif /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
}
|
|
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
/* returns MP_OKAY on success */
|
|
static int deterministic_sign_helper(const byte* in, word32 inlen, ecc_key* key)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(1);
|
|
ALLOC_CURVE_SPECS(1, err);
|
|
|
|
/* get curve order */
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
/* if key->sign_k is NULL then create a buffer for the mp_int
|
|
* if not NULL then assume the user correctly set deterministic flag and
|
|
* that the key->sign_k holds a previously malloc'd mp_int buffer */
|
|
if (key->sign_k == NULL) {
|
|
key->sign_k = (mp_int*)XMALLOC(sizeof(mp_int), key->heap,
|
|
DYNAMIC_TYPE_ECC);
|
|
if (key->sign_k != NULL) {
|
|
err = mp_init(key->sign_k);
|
|
if (err != MP_OKAY) {
|
|
XFREE(key->sign_k, key->heap, DYNAMIC_TYPE_ECC);
|
|
key->sign_k = NULL;
|
|
}
|
|
}
|
|
}
|
|
if (key->sign_k != NULL) {
|
|
if (wc_ecc_gen_deterministic_k(in, inlen,
|
|
key->hashType, ecc_get_k(key), key->sign_k,
|
|
curve->order, key->heap) != 0) {
|
|
mp_free(key->sign_k);
|
|
XFREE(key->sign_k, key->heap, DYNAMIC_TYPE_ECC);
|
|
key->sign_k = NULL;
|
|
err = ECC_PRIV_KEY_E;
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
else {
|
|
mp_memzero_add("deterministic_sign_helper sign_k", key->sign_k);
|
|
}
|
|
#endif
|
|
}
|
|
else {
|
|
err = MEMORY_E;
|
|
}
|
|
#else
|
|
key->sign_k_set = 0;
|
|
if (wc_ecc_gen_deterministic_k(in, inlen, key->hashType,
|
|
ecc_get_k(key), key->sign_k, curve->order, key->heap) != 0) {
|
|
err = ECC_PRIV_KEY_E;
|
|
}
|
|
else {
|
|
key->sign_k_set = 1;
|
|
}
|
|
#endif
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_ECDSA_DETERMINISTIC_K ||
|
|
WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT */
|
|
|
|
#if defined(WOLFSSL_STM32_PKA)
|
|
int wc_ecc_sign_hash_ex(const byte* in, word32 inlen, WC_RNG* rng,
|
|
ecc_key* key, mp_int *r, mp_int *s)
|
|
{
|
|
return stm32_ecc_sign_hash_ex(in, inlen, rng, key, r, s);
|
|
}
|
|
#elif !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_KCAPI_ECC)
|
|
#ifndef WOLFSSL_SP_MATH
|
|
static int ecc_sign_hash_sw(ecc_key* key, ecc_key* pubkey, WC_RNG* rng,
|
|
ecc_curve_spec* curve, mp_int* e, mp_int* r,
|
|
mp_int* s)
|
|
{
|
|
int err = MP_OKAY;
|
|
int loop_check = 0;
|
|
DECL_MP_INT_SIZE_DYN(b, ECC_KEY_MAX_BITS_NONULLCHECK(key), MAX_ECC_BITS_USE);
|
|
|
|
NEW_MP_INT_SIZE(b, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (b == NULL)
|
|
err = MEMORY_E;
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(b, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
/* if custom curve, apply params to pubkey */
|
|
if (err == MP_OKAY && key->idx == ECC_CUSTOM_IDX) {
|
|
err = wc_ecc_set_custom_curve(pubkey, key->dp);
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Generate blinding value - non-zero value. */
|
|
do {
|
|
if (++loop_check > 64) {
|
|
err = RNG_FAILURE_E;
|
|
break;
|
|
}
|
|
|
|
err = wc_ecc_gen_k(rng, key->dp->size, b, curve->order);
|
|
}
|
|
while (err == WC_NO_ERR_TRACE(MP_ZERO_E));
|
|
loop_check = 0;
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
if (err == MP_OKAY) {
|
|
mp_memzero_add("ecc_sign_hash_sw b", b);
|
|
}
|
|
#endif
|
|
|
|
for (; err == MP_OKAY;) {
|
|
if (++loop_check > 64) {
|
|
err = RNG_FAILURE_E;
|
|
break;
|
|
}
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
if (key->sign_k != NULL)
|
|
#else
|
|
if (key->sign_k_set)
|
|
#endif
|
|
{
|
|
if (loop_check > 1) {
|
|
err = RNG_FAILURE_E;
|
|
break;
|
|
}
|
|
|
|
/* use provided sign_k */
|
|
err = mp_copy(key->sign_k, pubkey->k);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* free sign_k, so only used once */
|
|
mp_forcezero(key->sign_k);
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
mp_free(key->sign_k);
|
|
XFREE(key->sign_k, key->heap, DYNAMIC_TYPE_ECC);
|
|
key->sign_k = NULL;
|
|
#else
|
|
key->sign_k_set = 0;
|
|
#endif
|
|
#ifdef WOLFSSL_ECDSA_SET_K_ONE_LOOP
|
|
loop_check = 64;
|
|
#endif
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
if (key->deterministic == 1) {
|
|
/* sign_k generated earlier in function for SP calls.
|
|
* Only go through the loop once and fail if error */
|
|
loop_check = 64;
|
|
}
|
|
#endif
|
|
|
|
/* compute public key based on provided "k" */
|
|
err = ecc_make_pub_ex(pubkey, curve, NULL, rng);
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
err = _ecc_make_key_ex(rng, key->dp->size, pubkey, key->dp->id,
|
|
WC_ECC_FLAG_NONE);
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
if (err == MP_OKAY) {
|
|
mp_memzero_add("ecc_sign_hash_sw k", pubkey->k);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
/* for async do blocking wait here */
|
|
err = wc_AsyncWait(err, &pubkey->asyncDev, WC_ASYNC_FLAG_NONE);
|
|
#endif
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* find r = x1 mod n */
|
|
err = mp_mod(pubkey->pubkey.x, curve->order, r);
|
|
if (err != MP_OKAY) break;
|
|
|
|
if (mp_iszero(r) == MP_NO) {
|
|
mp_int* kp = ecc_get_k(pubkey);
|
|
mp_int* ep = kp;
|
|
mp_int* x = ecc_get_k(key);
|
|
|
|
/* Blind after getting. */
|
|
ecc_blind_k(key, b);
|
|
|
|
/* find s = (e + xr)/k
|
|
= b.(e/k.b + x.r/k.b) */
|
|
|
|
/* k' = k.b */
|
|
err = mp_mulmod(kp, b, curve->order, kp);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* k' = 1/k.b
|
|
= 1/k' */
|
|
err = mp_invmod(kp, curve->order, kp);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* s = x.r */
|
|
err = mp_mulmod(x, r, curve->order, s);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* s = x.r/k.b
|
|
= k'.s */
|
|
err = mp_mulmod(kp, s, curve->order, s);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* e' = e/k.b
|
|
= e.k' */
|
|
err = mp_mulmod(kp, e, curve->order, ep);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* s = e/k.b + x.r/k.b = (e + x.r)/k.b
|
|
= e' + s */
|
|
err = mp_addmod_ct(ep, s, curve->order, s);
|
|
if (err != MP_OKAY) break;
|
|
|
|
/* s = b.(e + x.r)/k.b = (e + x.r)/k
|
|
= b.s */
|
|
err = mp_mulmod(s, b, curve->order, s);
|
|
if (err != MP_OKAY) break;
|
|
|
|
if (mp_iszero(s) == MP_NO) {
|
|
/* sign successful */
|
|
break;
|
|
}
|
|
}
|
|
#ifndef ALT_ECC_SIZE
|
|
mp_clear(pubkey->pubkey.x);
|
|
mp_clear(pubkey->pubkey.y);
|
|
mp_clear(pubkey->pubkey.z);
|
|
#endif
|
|
mp_forcezero(pubkey->k);
|
|
}
|
|
mp_forcezero(b);
|
|
FREE_MP_INT_SIZE(b, key->heap, DYNAMIC_TYPE_ECC);
|
|
#if !defined(WOLFSSL_SMALL_STACK) && defined(WOLFSSL_CHECK_MEM_ZERO)
|
|
mp_memzero_check(b);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
static int ecc_sign_hash_sp(const byte* in, word32 inlen, WC_RNG* rng,
|
|
ecc_key* key, mp_int *r, mp_int *s)
|
|
{
|
|
if (key->idx != ECC_CUSTOM_IDX) {
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) \
|
|
|| defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
mp_int* sign_k = key->sign_k;
|
|
#else
|
|
mp_int* sign_k = NULL;
|
|
#endif
|
|
#if defined(WC_ECC_NONBLOCK) && defined(WC_ECC_NONBLOCK_ONLY)
|
|
/* perform blocking call to non-blocking function */
|
|
ecc_nb_ctx_t nb_ctx;
|
|
XMEMSET(&nb_ctx, 0, sizeof(nb_ctx));
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
int err;
|
|
#endif
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_sign_256_nb(&key->nb_ctx->sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_sign_256_nb(&nb_ctx.sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_sign_256(in, inlen, rng, ecc_get_k(key), r, s,
|
|
sign_k, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_sign_sm2_256(in, inlen, rng, ecc_get_k(key), r, s,
|
|
sign_k, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
int err;
|
|
#endif
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_sign_384_nb(&key->nb_ctx->sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_sign_384_nb(&nb_ctx.sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_sign_384(in, inlen, rng, ecc_get_k(key), r, s,
|
|
sign_k, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
int err;
|
|
#endif
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_sign_521_nb(&key->nb_ctx->sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_sign_521_nb(&nb_ctx.sp_ctx, in, inlen, rng,
|
|
ecc_get_k(key), r, s, sign_k, key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_sign_521(in, inlen, rng, ecc_get_k(key), r, s,
|
|
sign_k, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
(void)sign_k;
|
|
}
|
|
|
|
/* SP doesn't support curve. */
|
|
return WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
|
|
/**
|
|
Sign a message digest
|
|
in The message digest to sign
|
|
inlen The length of the digest
|
|
key A private ECC key
|
|
r [out] The destination for r component of the signature
|
|
s [out] The destination for s component of the signature
|
|
return MP_OKAY if successful
|
|
*/
|
|
int wc_ecc_sign_hash_ex(const byte* in, word32 inlen, WC_RNG* rng,
|
|
ecc_key* key, mp_int *r, mp_int *s)
|
|
{
|
|
int err = 0;
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
mp_int* e;
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
|
|
DECL_MP_INT_SIZE_DYN(e_lcl, ECC_KEY_MAX_BITS(key), MAX_ECC_BITS_USE);
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT) || \
|
|
(defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
|
|
(defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)))
|
|
DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
|
|
#else
|
|
DECLARE_CURVE_SPECS(1);
|
|
#endif
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
|
|
if (in == NULL || r == NULL || s == NULL || key == NULL || rng == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* is this a private key? */
|
|
if (key->type != ECC_PRIVATEKEY && key->type != ECC_PRIVATEKEY_ONLY) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* is the IDX valid ? */
|
|
if (wc_ecc_is_valid_idx(key->idx) == 0 || key->dp == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_SP_MATH)
|
|
if (key->idx == ECC_CUSTOM_IDX || (1
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
&& ecc_sets[key->idx].id != ECC_SECP256R1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_SM2
|
|
&& ecc_sets[key->idx].id != ECC_SM2P256V1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
&& ecc_sets[key->idx].id != ECC_SECP384R1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
&& ecc_sets[key->idx].id != ECC_SECP521R1
|
|
#endif
|
|
)) {
|
|
return WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
/* generate deterministic 'k' value to be used either with SP or normal */
|
|
if (key->deterministic == 1) {
|
|
if (deterministic_sign_helper(in, inlen, key)) {
|
|
WOLFSSL_MSG("Error generating deterministic k to sign");
|
|
return ECC_PRIV_KEY_E;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
|
|
defined(WOLFSSL_ASYNC_CRYPT_SW)
|
|
if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
if (wc_AsyncSwInit(&key->asyncDev, ASYNC_SW_ECC_SIGN)) {
|
|
WC_ASYNC_SW* sw = &key->asyncDev.sw;
|
|
sw->eccSign.in = in;
|
|
sw->eccSign.inSz = inlen;
|
|
sw->eccSign.rng = rng;
|
|
sw->eccSign.key = key;
|
|
sw->eccSign.r = r;
|
|
sw->eccSign.s = s;
|
|
return WC_PENDING_E;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_HAVE_SP_ECC)
|
|
err = ecc_sign_hash_sp(in, inlen, rng, key, r, s);
|
|
if (err != WC_NO_ERR_TRACE(WC_KEY_SIZE_E)) {
|
|
return err;
|
|
}
|
|
#else
|
|
(void)inlen;
|
|
#endif
|
|
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(HAVE_CAVIUM_V)
|
|
err = wc_ecc_alloc_mpint(key, &key->e);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
e = key->e;
|
|
#else
|
|
NEW_MP_INT_SIZE(e_lcl, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (e_lcl == NULL) {
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
e = e_lcl;
|
|
#endif
|
|
|
|
/* get the hash and load it as a bignum into 'e' */
|
|
/* init the bignums */
|
|
if ((err = INIT_MP_INT_SIZE(e, ECC_KEY_MAX_BITS_NONULLCHECK(key))) != MP_OKAY) {
|
|
FREE_MP_INT_SIZE(e_lcl, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
|
|
/* load curve info */
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
#else
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
|
|
(defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA))
|
|
if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
ALLOC_CURVE_SPECS(1, err);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
}
|
|
#endif
|
|
|
|
/* load digest into e */
|
|
if (err == MP_OKAY) {
|
|
/* we may need to truncate if hash is longer than key size */
|
|
word32 orderBits = (word32)mp_count_bits(curve->order);
|
|
|
|
/* truncate down to byte size, may be all that's needed */
|
|
if ((WOLFSSL_BIT_SIZE * inlen) > orderBits)
|
|
inlen = (orderBits + WOLFSSL_BIT_SIZE - 1) / WOLFSSL_BIT_SIZE;
|
|
err = mp_read_unsigned_bin(e, in, inlen);
|
|
|
|
/* may still need bit truncation too */
|
|
if (err == MP_OKAY && (WOLFSSL_BIT_SIZE * inlen) > orderBits)
|
|
mp_rshb(e, (int)(WOLFSSL_BIT_SIZE - (orderBits & 0x7)));
|
|
}
|
|
|
|
/* make up a key and export the public copy */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
if ((err == MP_OKAY) && (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC)) {
|
|
#if defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)
|
|
#ifdef HAVE_CAVIUM_V
|
|
if (NitroxEccIsCurveSupported(key))
|
|
#endif
|
|
{
|
|
word32 keySz = key->dp->size;
|
|
mp_int* k;
|
|
#ifdef HAVE_CAVIUM_V
|
|
err = wc_ecc_alloc_mpint(key, &key->signK);
|
|
if (err != 0)
|
|
return err;
|
|
k = key->signK;
|
|
#else
|
|
mp_int k_lcl;
|
|
k = &k_lcl;
|
|
#endif
|
|
|
|
err = mp_init(k);
|
|
|
|
/* make sure r and s are allocated */
|
|
#ifdef HAVE_CAVIUM_V
|
|
/* Nitrox V needs single buffer for R and S */
|
|
if (err == MP_OKAY)
|
|
err = wc_bigint_alloc(&key->r->raw, NitroxEccGetSize(key)*2);
|
|
/* Nitrox V only needs Prime and Order */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_ORDER));
|
|
#else
|
|
if (err == MP_OKAY)
|
|
err = wc_bigint_alloc(&key->r->raw, key->dp->size);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
#endif
|
|
if (err == MP_OKAY)
|
|
err = wc_bigint_alloc(&key->s->raw, key->dp->size);
|
|
|
|
/* load e and k */
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(e, &e->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(ecc_get_k(key), &ecc_get_k(key)->raw,
|
|
keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_gen_k(rng, key->dp->size, k, curve->order);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(k, &k->raw, keySz);
|
|
|
|
#ifdef HAVE_CAVIUM_V
|
|
if (err == MP_OKAY)
|
|
err = NitroxEcdsaSign(key, &e->raw, &ecc_get_k(key)->raw,
|
|
&k->raw, &r->raw, &s->raw, &curve->prime->raw,
|
|
&curve->order->raw);
|
|
#else
|
|
if (err == MP_OKAY)
|
|
err = IntelQaEcdsaSign(&key->asyncDev, &e->raw,
|
|
&ecc_get_k(key)->raw, &k->raw, &r->raw, &s->raw,
|
|
&curve->Af->raw, &curve->Bf->raw, &curve->prime->raw,
|
|
&curve->order->raw, &curve->Gx->raw, &curve->Gy->raw);
|
|
#endif
|
|
|
|
#ifndef HAVE_CAVIUM_V
|
|
mp_clear(e);
|
|
mp_clear(k);
|
|
#endif
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
|
|
return err;
|
|
}
|
|
#endif /* HAVE_CAVIUM_V || HAVE_INTEL_QA */
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
ecc_key* pubkey;
|
|
#else
|
|
ecc_key pubkey[1];
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
pubkey = (ecc_key*)XMALLOC(sizeof(ecc_key), key->heap, DYNAMIC_TYPE_ECC);
|
|
if (pubkey == NULL)
|
|
err = MEMORY_E;
|
|
else
|
|
#endif
|
|
{
|
|
/* don't use async for key, since we don't support async return here */
|
|
err = wc_ecc_init_ex(pubkey, key->heap, INVALID_DEVID);
|
|
if (err == MP_OKAY) {
|
|
err = ecc_sign_hash_sw(key, pubkey, rng, curve, e, r, s);
|
|
wc_ecc_free(pubkey);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(pubkey, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
}
|
|
}
|
|
}
|
|
|
|
mp_clear(e);
|
|
wc_ecc_curve_free(curve);
|
|
FREE_MP_INT_SIZE(e_lcl, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_CURVE_SPECS();
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
|
|
return err;
|
|
}
|
|
|
|
#if defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
/* helper function to do HMAC operations
|
|
* returns 0 on success and updates "out" buffer
|
|
*/
|
|
static int _HMAC_K(byte* K, word32 KSz, byte* V, word32 VSz,
|
|
const byte* h1, word32 h1Sz, byte* x, word32 xSz, byte* oct,
|
|
byte* out, enum wc_HashType hashType, void* heap)
|
|
{
|
|
Hmac hmac;
|
|
int ret, init;
|
|
|
|
ret = init = wc_HmacInit(&hmac, heap, INVALID_DEVID);
|
|
if (ret == 0)
|
|
ret = wc_HmacSetKey(&hmac, (int)hashType, K, KSz);
|
|
|
|
if (ret == 0)
|
|
ret = wc_HmacUpdate(&hmac, V, VSz);
|
|
|
|
if (ret == 0 && oct != NULL)
|
|
ret = wc_HmacUpdate(&hmac, oct, 1);
|
|
|
|
if (ret == 0)
|
|
ret = wc_HmacUpdate(&hmac, x, xSz);
|
|
|
|
if (ret == 0)
|
|
ret = wc_HmacUpdate(&hmac, h1, h1Sz);
|
|
|
|
if (ret == 0)
|
|
ret = wc_HmacFinal(&hmac, out);
|
|
|
|
if (init == 0)
|
|
wc_HmacFree(&hmac);
|
|
|
|
return ret;
|
|
}
|
|
|
|
|
|
/* Generates a deterministic key based of the message using RFC6979
|
|
* @param [in] hash Hash value to sign
|
|
* @param [in] hashSz Size of 'hash' buffer passed in
|
|
* @param [in] hashType Type of hash to use with deterministic k gen, i.e.
|
|
* WC_HASH_TYPE_SHA256
|
|
* @param [in] priv Current ECC private key set
|
|
* @param [out] k An initialized mp_int to set the k value generated in
|
|
* @param [in] order ECC order parameter to use with generation
|
|
* @return 0 on success.
|
|
*/
|
|
int wc_ecc_gen_deterministic_k(const byte* hash, word32 hashSz,
|
|
enum wc_HashType hashType, mp_int* priv, mp_int* k, mp_int* order,
|
|
void* heap)
|
|
{
|
|
int ret = 0;
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
byte h1[MAX_ECC_BYTES];
|
|
byte V[WC_MAX_DIGEST_SIZE];
|
|
byte K[WC_MAX_DIGEST_SIZE];
|
|
byte x[MAX_ECC_BYTES];
|
|
mp_int z1[1];
|
|
#else
|
|
byte *h1 = NULL;
|
|
byte *V = NULL;
|
|
byte *K = NULL;
|
|
byte *x = NULL;
|
|
mp_int *z1 = NULL;
|
|
#endif
|
|
word32 xSz, VSz, KSz, h1len, qLen;
|
|
byte intOct;
|
|
int qbits = 0;
|
|
|
|
if (hash == NULL || k == NULL || order == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
if (hashSz > WC_MAX_DIGEST_SIZE) {
|
|
WOLFSSL_MSG("hash size was too large!");
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* if none is provided then detect has type based on hash size */
|
|
if (hashType == WC_HASH_TYPE_NONE) {
|
|
if (hashSz == 64) {
|
|
hashType = WC_HASH_TYPE_SHA512;
|
|
}
|
|
else if (hashSz == 48) {
|
|
hashType = WC_HASH_TYPE_SHA384;
|
|
}
|
|
else if (hashSz == 32) {
|
|
hashType = WC_HASH_TYPE_SHA256;
|
|
}
|
|
else {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
}
|
|
|
|
if (mp_unsigned_bin_size(priv) > MAX_ECC_BYTES) {
|
|
WOLFSSL_MSG("private key larger than max expected!");
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
h1 = (byte*)XMALLOC(MAX_ECC_BYTES, heap, DYNAMIC_TYPE_DIGEST);
|
|
if (h1 == NULL) {
|
|
ret = MEMORY_E;
|
|
}
|
|
|
|
if (ret == 0) {
|
|
V = (byte*)XMALLOC(WC_MAX_DIGEST_SIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (V == NULL)
|
|
ret = MEMORY_E;
|
|
}
|
|
|
|
if (ret == 0) {
|
|
K = (byte*)XMALLOC(WC_MAX_DIGEST_SIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (K == NULL)
|
|
ret = MEMORY_E;
|
|
}
|
|
|
|
if (ret == 0) {
|
|
x = (byte*)XMALLOC(MAX_ECC_BYTES, heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
if (x == NULL)
|
|
ret = MEMORY_E;
|
|
}
|
|
|
|
if (ret == 0) {
|
|
z1 = (mp_int *)XMALLOC(sizeof(*z1), heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (z1 == NULL)
|
|
ret = MEMORY_E;
|
|
}
|
|
|
|
/* bail out if any error has been hit at this point */
|
|
if (ret != 0) {
|
|
XFREE(x, heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
XFREE(K, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(V, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(h1, heap, DYNAMIC_TYPE_DIGEST);
|
|
return ret;
|
|
}
|
|
#endif
|
|
|
|
VSz = KSz = hashSz;
|
|
qLen = xSz = h1len = (word32)mp_unsigned_bin_size(order);
|
|
|
|
/* 3.2 b. Set V = 0x01 0x01 ... */
|
|
XMEMSET(V, 0x01, VSz);
|
|
|
|
/* 3.2 c. Set K = 0x00 0x00 ... */
|
|
XMEMSET(K, 0x00, KSz);
|
|
|
|
if (ret == 0) {
|
|
ret = mp_init(z1); /* always init z1 and free z1 */
|
|
}
|
|
if (ret == 0) {
|
|
ret = mp_to_unsigned_bin_len(priv, x, (int)qLen);
|
|
}
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("wc_ecc_gen_deterministic_k x", x, qLen);
|
|
#endif
|
|
qbits = mp_count_bits(order);
|
|
if (qbits < 0)
|
|
ret = MP_VAL;
|
|
}
|
|
|
|
if (ret == 0) {
|
|
/* hash truncate if too long */
|
|
if (((WOLFSSL_BIT_SIZE) * hashSz) > (word32)qbits) {
|
|
/* calculate truncated hash size using bits rounded up byte */
|
|
hashSz = ((word32)qbits + (WOLFSSL_BIT_SIZE - 1)) / WOLFSSL_BIT_SIZE;
|
|
}
|
|
ret = mp_read_unsigned_bin(z1, hash, hashSz);
|
|
}
|
|
|
|
/* bits2octets on h1 */
|
|
if (ret == 0) {
|
|
XMEMSET(h1, 0, MAX_ECC_BYTES);
|
|
|
|
#if !defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
/* mod reduce by order using conditional subtract
|
|
* RFC6979 lists a variant that uses the hash directly instead of
|
|
* doing bits2octets(H(m)), when variant macro is used avoid this
|
|
* bits2octets operation */
|
|
if (mp_cmp(z1, order) == MP_GT) {
|
|
int z1Sz;
|
|
|
|
mp_sub(z1, order, z1);
|
|
z1Sz = mp_unsigned_bin_size(z1);
|
|
if (z1Sz < 0 || z1Sz > MAX_ECC_BYTES) {
|
|
ret = BUFFER_E;
|
|
}
|
|
else {
|
|
ret = mp_to_unsigned_bin_len(z1, h1, (int)h1len);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
/* use original hash and keep leading 0's */
|
|
ret = mp_to_unsigned_bin_len(z1, h1, (int)h1len);
|
|
}
|
|
}
|
|
mp_free(z1);
|
|
|
|
/* 3.2 step d. K = HMAC_K(V || 0x00 || int2octests(x) || bits2octests(h1) */
|
|
if (ret == 0) {
|
|
intOct = 0x00;
|
|
ret = _HMAC_K(K, KSz, V, VSz, h1, h1len, x, xSz, &intOct, K,
|
|
hashType, heap);
|
|
}
|
|
|
|
/* 3.2 step e. V = HMAC_K(V) */
|
|
if (ret == 0) {
|
|
ret = _HMAC_K(K, KSz, V, VSz, NULL, 0, NULL, 0, NULL, V, hashType,
|
|
heap);
|
|
}
|
|
|
|
|
|
/* 3.2 step f. K = HMAC_K(V || 0x01 || int2octests(x) || bits2octests(h1) */
|
|
if (ret == 0) {
|
|
intOct = 0x01;
|
|
ret = _HMAC_K(K, KSz, V, VSz, h1, h1len, x, xSz, &intOct, K, hashType,
|
|
heap);
|
|
}
|
|
|
|
/* 3.2 step g. V = HMAC_K(V) */
|
|
if (ret == 0) {
|
|
ret = _HMAC_K(K, KSz, V, VSz, NULL, 0, NULL, 0, NULL, V, hashType,
|
|
heap);
|
|
}
|
|
|
|
/* 3.2 step h. loop through the next steps until a valid value is found */
|
|
if (ret == 0 ) {
|
|
int err;
|
|
|
|
intOct = 0x00;
|
|
do {
|
|
xSz = 0; /* used as tLen */
|
|
err = 0; /* start as good until generated k is tested */
|
|
|
|
/* 3.2 step h.2 when tlen < qlen do V = HMAC_K(V); T = T || V */
|
|
while (xSz < qLen) {
|
|
ret = _HMAC_K(K, KSz, V, VSz, NULL, 0, NULL, 0, NULL, V,
|
|
hashType, heap);
|
|
if (ret == 0) {
|
|
int sz;
|
|
|
|
sz = (int)MIN(qLen - xSz, (size_t)VSz);
|
|
XMEMCPY(x + xSz, V, (size_t)sz);
|
|
xSz += (word32)sz;
|
|
}
|
|
else {
|
|
break; /* error case */
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
mp_clear(k); /* 3.2 step h.1 clear T */
|
|
ret = mp_read_unsigned_bin(k, x, xSz);
|
|
}
|
|
|
|
if ((ret == 0) && ((xSz * WOLFSSL_BIT_SIZE) != (word32)qbits)) {
|
|
/* handle odd case where shift of 'k' is needed with RFC 6979
|
|
* k = bits2int(T) in section 3.2 h.3 */
|
|
mp_rshb(k, ((int)xSz * WOLFSSL_BIT_SIZE) - qbits);
|
|
}
|
|
|
|
/* 3.2 step h.3 the key should be smaller than the order of base
|
|
* point */
|
|
if (ret == 0) {
|
|
if (mp_cmp(k, order) != MP_LT) {
|
|
err = MP_VAL;
|
|
} else if (mp_iszero(k) == MP_YES) {
|
|
/* no 0 key's */
|
|
err = MP_ZERO_E;
|
|
}
|
|
}
|
|
|
|
/* 3.2 step h.3 if there was a problem with 'k' generated then try
|
|
* again K = HMAC_K(V || 0x00) and V = HMAC_K(V) */
|
|
if (ret == 0 && err != 0) {
|
|
ret = _HMAC_K(K, KSz, V, VSz, NULL, 0, NULL, 0, &intOct, K,
|
|
hashType, heap);
|
|
if (ret == 0) {
|
|
ret = _HMAC_K(K, KSz, V, VSz, NULL, 0, NULL, 0, NULL, V,
|
|
hashType, heap);
|
|
}
|
|
}
|
|
} while (ret == 0 && err != 0);
|
|
}
|
|
|
|
ForceZero(x, MAX_ECC_BYTES);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(z1, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(x, heap, DYNAMIC_TYPE_PRIVATE_KEY);
|
|
XFREE(K, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(V, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(h1, heap, DYNAMIC_TYPE_DIGEST);
|
|
#elif defined(WOLFSSL_CHECK_MEM_ZERO)
|
|
wc_MemZero_Check(x, MAX_ECC_BYTES);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
|
|
/* Sets the deterministic flag for 'k' generation with sign.
|
|
* returns 0 on success
|
|
*/
|
|
int wc_ecc_set_deterministic_ex(ecc_key* key, byte flag,
|
|
enum wc_HashType hashType)
|
|
{
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
key->deterministic = flag ? 1 : 0;
|
|
key->hashType = hashType;
|
|
return 0;
|
|
}
|
|
|
|
int wc_ecc_set_deterministic(ecc_key* key, byte flag)
|
|
{
|
|
return wc_ecc_set_deterministic_ex(key, flag, WC_HASH_TYPE_NONE);
|
|
}
|
|
|
|
#endif /* end sign_ex and deterministic sign */
|
|
|
|
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP)
|
|
int wc_ecc_sign_set_k(const byte* k, word32 klen, ecc_key* key)
|
|
{
|
|
int ret = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(1);
|
|
|
|
if (k == NULL || klen == 0 || key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
ALLOC_CURVE_SPECS(1, ret);
|
|
if (ret == MP_OKAY) {
|
|
ret = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
}
|
|
|
|
if (ret != 0) {
|
|
FREE_CURVE_SPECS();
|
|
return ret;
|
|
}
|
|
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
if (key->sign_k == NULL) {
|
|
key->sign_k = (mp_int*)XMALLOC(sizeof(mp_int), key->heap,
|
|
DYNAMIC_TYPE_ECC);
|
|
if (key->sign_k) {
|
|
ret = mp_init(key->sign_k);
|
|
}
|
|
else {
|
|
ret = MEMORY_E;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
if (ret == 0) {
|
|
ret = mp_read_unsigned_bin(key->sign_k, k, klen);
|
|
}
|
|
if (ret == 0 && mp_cmp(key->sign_k, curve->order) != MP_LT) {
|
|
ret = MP_VAL;
|
|
}
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
if (ret == 0) {
|
|
key->sign_k_set = 1;
|
|
}
|
|
#endif
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
return ret;
|
|
}
|
|
#endif /* WOLFSSL_ECDSA_SET_K || WOLFSSL_ECDSA_SET_K_ONE_LOOP */
|
|
#endif /* WOLFSSL_ATECC508A && WOLFSSL_CRYPTOCELL */
|
|
|
|
#endif /* !HAVE_ECC_SIGN */
|
|
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
void wc_ecc_free_curve(const ecc_set_type* curve, void* heap)
|
|
{
|
|
#ifndef WOLFSSL_ECC_CURVE_STATIC
|
|
if (curve->prime != NULL)
|
|
XFREE((void*)curve->prime, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (curve->Af != NULL)
|
|
XFREE((void*)curve->Af, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (curve->Bf != NULL)
|
|
XFREE((void*)curve->Bf, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (curve->order != NULL)
|
|
XFREE((void*)curve->order, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (curve->Gx != NULL)
|
|
XFREE((void*)curve->Gx, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (curve->Gy != NULL)
|
|
XFREE((void*)curve->Gy, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
XFREE((void*)curve, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
|
|
(void)heap;
|
|
}
|
|
#endif /* WOLFSSL_CUSTOM_CURVES */
|
|
|
|
/**
|
|
Free an ECC key from memory
|
|
key The key you wish to free
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_free(ecc_key* key)
|
|
{
|
|
if (key == NULL) {
|
|
return 0;
|
|
}
|
|
|
|
#if defined(WOLFSSL_ECDSA_SET_K) || defined(WOLFSSL_ECDSA_SET_K_ONE_LOOP) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K) || \
|
|
defined(WOLFSSL_ECDSA_DETERMINISTIC_K_VARIANT)
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
if (key->sign_k != NULL)
|
|
#endif
|
|
{
|
|
mp_forcezero(key->sign_k);
|
|
mp_free(key->sign_k);
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
XFREE(key->sign_k, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
#ifdef WC_ASYNC_ENABLE_ECC
|
|
wolfAsync_DevCtxFree(&key->asyncDev, WOLFSSL_ASYNC_MARKER_ECC);
|
|
#endif
|
|
wc_ecc_free_async(key);
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
/* free secure memory */
|
|
if ((key->blackKey != CAAM_BLACK_KEY_CCM &&
|
|
key->blackKey != CAAM_BLACK_KEY_ECB) && key->blackKey > 0) {
|
|
caamFreePart(key->partNum);
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SE050
|
|
#ifdef WOLFSSL_SE050_AUTO_ERASE
|
|
wc_se050_erase_object(key->keyId);
|
|
#endif
|
|
se050_ecc_free_key(key);
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
atmel_ecc_free(key->slot);
|
|
key->slot = ATECC_INVALID_SLOT;
|
|
#endif /* WOLFSSL_ATECC508A */
|
|
|
|
#ifdef WOLFSSL_KCAPI_ECC
|
|
KcapiEcc_Free(key);
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
key->privKey = NULL;
|
|
ForceZero(key->keyRaw, sizeof(key->keyRaw));
|
|
ForceZero(&key->xSec, sizeof(key->xSec));
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_MAXQ10XX_CRYPTO
|
|
wc_MAXQ10XX_EccFree(key);
|
|
#endif
|
|
|
|
mp_clear(key->pubkey.x);
|
|
mp_clear(key->pubkey.y);
|
|
mp_clear(key->pubkey.z);
|
|
|
|
#ifdef ALT_ECC_SIZE
|
|
if (key->k)
|
|
#endif
|
|
mp_forcezero(key->k);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
#ifdef ALT_ECC_SIZE
|
|
if (key->kb)
|
|
#endif
|
|
mp_forcezero(key->kb);
|
|
#ifdef ALT_ECC_SIZE
|
|
if (key->ku)
|
|
#endif
|
|
mp_forcezero(key->ku);
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
if (key->deallocSet && key->dp != NULL)
|
|
wc_ecc_free_curve(key->dp, key->heap);
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Check(key, sizeof(ecc_key));
|
|
#endif
|
|
|
|
return 0;
|
|
}
|
|
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_SP_MATH) && \
|
|
(!defined(WOLF_CRYPTO_CB_ONLY_ECC) || defined(WOLFSSL_QNX_CAAM) || \
|
|
defined(WOLFSSL_IMXRT1170_CAAM))
|
|
|
|
/* Handles add failure cases:
|
|
*
|
|
* Before add:
|
|
* Case 1: A is infinity
|
|
* -> Copy B into result.
|
|
* Case 2: B is infinity
|
|
* -> Copy A into result.
|
|
* Case 3: x and z are the same in A and B (same x value in affine)
|
|
* Case 3a: y values the same - same point
|
|
* -> Double instead of add.
|
|
* Case 3b: y values different - negative of the other when points on curve
|
|
* -> Need to set result to infinity.
|
|
*
|
|
* After add:
|
|
* Case 1: A and B are the same point (maybe different z)
|
|
* (Result was: x == y == z == 0)
|
|
* -> Need to double instead.
|
|
*
|
|
* Case 2: A + B = <infinity> = 0.
|
|
* (Result was: z == 0, x and/or y not 0)
|
|
* -> Need to set result to infinity.
|
|
*/
|
|
int ecc_projective_add_point_safe(ecc_point* A, ecc_point* B, ecc_point* R,
|
|
mp_int* a, mp_int* modulus, mp_digit mp, int* infinity)
|
|
{
|
|
int err;
|
|
|
|
if (mp_iszero(A->x) && mp_iszero(A->y)) {
|
|
/* A is infinity. */
|
|
err = wc_ecc_copy_point(B, R);
|
|
}
|
|
else if (mp_iszero(B->x) && mp_iszero(B->y)) {
|
|
/* B is infinity. */
|
|
err = wc_ecc_copy_point(A, R);
|
|
}
|
|
else if ((mp_cmp(A->x, B->x) == MP_EQ) && (mp_cmp(A->z, B->z) == MP_EQ)) {
|
|
/* x ordinattes the same. */
|
|
if (mp_cmp(A->y, B->y) == MP_EQ) {
|
|
/* A = B */
|
|
err = _ecc_projective_dbl_point(B, R, a, modulus, mp);
|
|
}
|
|
else {
|
|
/* A = -B */
|
|
err = mp_set(R->x, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->y, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->z, 1);
|
|
if ((err == MP_OKAY) && (infinity != NULL))
|
|
*infinity = 1;
|
|
}
|
|
}
|
|
else {
|
|
err = _ecc_projective_add_point(A, B, R, a, modulus, mp);
|
|
if ((err == MP_OKAY) && mp_iszero(R->z)) {
|
|
/* When all zero then should have done a double */
|
|
if (mp_iszero(R->x) && mp_iszero(R->y)) {
|
|
if (mp_iszero(B->z)) {
|
|
err = wc_ecc_copy_point(B, R);
|
|
if (err == MP_OKAY) {
|
|
err = mp_montgomery_calc_normalization(R->z, modulus);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = _ecc_projective_dbl_point(R, R, a, modulus, mp);
|
|
}
|
|
}
|
|
else {
|
|
err = _ecc_projective_dbl_point(B, R, a, modulus, mp);
|
|
}
|
|
}
|
|
/* When only Z zero then result is infinity */
|
|
else {
|
|
err = mp_set(R->x, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->y, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->z, 1);
|
|
if ((err == MP_OKAY) && (infinity != NULL))
|
|
*infinity = 1;
|
|
}
|
|
}
|
|
}
|
|
|
|
return err;
|
|
}
|
|
|
|
/* Handles when P is the infinity point.
|
|
*
|
|
* Double infinity -> infinity.
|
|
* Otherwise do normal double - which can't lead to infinity as odd order.
|
|
*/
|
|
int ecc_projective_dbl_point_safe(ecc_point *P, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp)
|
|
{
|
|
int err;
|
|
|
|
if (mp_iszero(P->x) && mp_iszero(P->y)) {
|
|
/* P is infinity. */
|
|
err = wc_ecc_copy_point(P, R);
|
|
}
|
|
else {
|
|
err = _ecc_projective_dbl_point(P, R, a, modulus, mp);
|
|
if ((err == MP_OKAY) && mp_iszero(R->z)) {
|
|
err = mp_set(R->x, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->y, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(R->z, 1);
|
|
}
|
|
}
|
|
|
|
return err;
|
|
}
|
|
#endif /* !(WOLFSSL_ATECC508A) && !(WOLFSSL_ATECC608A) && \
|
|
!(WOLFSSL_CRYPTOCELL) && !(WOLFSSL_SP_MATH) && \
|
|
(!(WOLF_CRYPTO_CB_ONLY_ECC) || (WOLFSSL_QNX_CAAM) || \
|
|
(WOLFSSL_IMXRT1170_CAAM))
|
|
*/
|
|
|
|
#if !defined(WOLFSSL_SP_MATH) && !defined(WOLFSSL_ATECC508A) && \
|
|
!defined(WOLFSSL_ATECC608A) && !defined(WOLFSSL_CRYPTOCELL) && \
|
|
!defined(WOLFSSL_KCAPI_ECC) && !defined(WOLF_CRYPTO_CB_ONLY_ECC)
|
|
#ifdef ECC_SHAMIR
|
|
|
|
static int ecc_mont_norm_points(ecc_point* A, ecc_point* Am, ecc_point* B,
|
|
ecc_point* Bm, mp_int* modulus, void* heap)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECL_MP_INT_SIZE_DYN(mu, mp_bitsused(modulus), MAX_ECC_BITS_USE);
|
|
|
|
(void)heap;
|
|
|
|
NEW_MP_INT_SIZE(mu, mp_bitsused(modulus), heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (mu == NULL)
|
|
err = MEMORY_E;
|
|
#endif
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(mu, mp_bitsused(modulus));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
|
|
if (err == MP_OKAY) {
|
|
/* copy ones ... */
|
|
err = mp_mulmod(A->x, mu, modulus, Am->x);
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(A->y, mu, modulus, Am->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(A->z, mu, modulus, Am->z);
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(B->x, mu, modulus, Bm->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(B->y, mu, modulus, Bm->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(B->z, mu, modulus, Bm->z);
|
|
|
|
/* done with mu */
|
|
mp_clear(mu);
|
|
}
|
|
|
|
FREE_MP_INT_SIZE(mu, heap, DYNAMIC_TYPE_ECC);
|
|
|
|
return err;
|
|
}
|
|
|
|
/** Computes kA*A + kB*B = C using Shamir's Trick
|
|
A First point to multiply
|
|
kA What to multiple A by
|
|
B Second point to multiply
|
|
kB What to multiple B by
|
|
C [out] Destination point (can overlap with A or B)
|
|
a ECC curve parameter a
|
|
modulus Modulus for curve
|
|
return MP_OKAY on success
|
|
*/
|
|
#ifdef FP_ECC
|
|
static int normal_ecc_mul2add(ecc_point* A, mp_int* kA,
|
|
ecc_point* B, mp_int* kB,
|
|
ecc_point* C, mp_int* a, mp_int* modulus,
|
|
void* heap)
|
|
#else
|
|
int ecc_mul2add(ecc_point* A, mp_int* kA,
|
|
ecc_point* B, mp_int* kB,
|
|
ecc_point* C, mp_int* a, mp_int* modulus,
|
|
void* heap)
|
|
#endif
|
|
{
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
ecc_key *key = NULL;
|
|
#endif
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
ecc_point** precomp = NULL;
|
|
#else
|
|
ecc_point* precomp[SHAMIR_PRECOMP_SZ];
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_precomp[SHAMIR_PRECOMP_SZ];
|
|
#endif
|
|
#endif
|
|
unsigned int bitbufA, bitbufB, lenA, lenB, len, nA, nB, nibble;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
unsigned char tA[ECC_BUFSIZE];
|
|
unsigned char tB[ECC_BUFSIZE];
|
|
#else
|
|
unsigned char* tA = NULL;
|
|
unsigned char* tB = NULL;
|
|
#endif
|
|
int err = MP_OKAY, first, x, y;
|
|
mp_digit mp = 0;
|
|
|
|
/* argchks */
|
|
if (A == NULL || kA == NULL || B == NULL || kB == NULL || C == NULL ||
|
|
modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
/* allocate memory */
|
|
tA = (unsigned char*)XMALLOC(ECC_BUFSIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (tA == NULL) {
|
|
return MP_MEM;
|
|
}
|
|
tB = (unsigned char*)XMALLOC(ECC_BUFSIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (tB == NULL) {
|
|
XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
return MP_MEM;
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
key = (ecc_key *)XMALLOC(sizeof(*key), heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (key == NULL) {
|
|
XFREE(tB, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
return MP_MEM;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
precomp = (ecc_point**)XMALLOC(sizeof(ecc_point*) * SHAMIR_PRECOMP_SZ, heap,
|
|
DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (precomp == NULL) {
|
|
XFREE(tB, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
return MP_MEM;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
key->t1 = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->t2 = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef ALT_ECC_SIZE
|
|
key->x = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->y = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
key->z = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
if (key->t1 == NULL || key->t2 == NULL
|
|
#ifdef ALT_ECC_SIZE
|
|
|| key->x == NULL || key->y == NULL || key->z == NULL
|
|
#endif
|
|
) {
|
|
#ifdef ALT_ECC_SIZE
|
|
XFREE(key->z, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->y, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->x, heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
XFREE(key->t2, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->t1, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(precomp, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tB, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
return MEMORY_E;
|
|
}
|
|
C->key = key;
|
|
#endif /* WOLFSSL_SMALL_STACK_CACHE */
|
|
|
|
/* init variables */
|
|
XMEMSET(tA, 0, ECC_BUFSIZE);
|
|
XMEMSET(tB, 0, ECC_BUFSIZE);
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
XMEMSET(precomp, 0, sizeof(precomp));
|
|
#else
|
|
XMEMSET(precomp, 0, sizeof(ecc_point*) * SHAMIR_PRECOMP_SZ);
|
|
#endif
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("ecc_mul2add tA", tA, ECC_BUFSIZE);
|
|
wc_MemZero_Add("ecc_mul2add tB", tB, ECC_BUFSIZE);
|
|
#endif
|
|
|
|
/* get sizes */
|
|
lenA = (unsigned int)mp_unsigned_bin_size(kA);
|
|
lenB = (unsigned int)mp_unsigned_bin_size(kB);
|
|
len = MAX(lenA, lenB);
|
|
|
|
/* sanity check */
|
|
if ((lenA > ECC_BUFSIZE) || (lenB > ECC_BUFSIZE)) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* extract and justify kA */
|
|
err = mp_to_unsigned_bin(kA, (len - lenA) + tA);
|
|
|
|
/* extract and justify kB */
|
|
if (err == MP_OKAY)
|
|
err = mp_to_unsigned_bin(kB, (len - lenB) + tB);
|
|
|
|
/* allocate the table */
|
|
if (err == MP_OKAY) {
|
|
for (x = 0; x < SHAMIR_PRECOMP_SZ; x++) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
precomp[x] = &lcl_precomp[x];
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&precomp[x], heap);
|
|
if (err != MP_OKAY)
|
|
break;
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
precomp[x]->key = key;
|
|
#endif
|
|
}
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
/* init montgomery reduction */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
|
|
if (err == MP_OKAY) {
|
|
err = ecc_mont_norm_points(A, precomp[1], B, precomp[1<<2], modulus, heap);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* precomp [i,0](A + B) table */
|
|
err = ecc_projective_dbl_point_safe(precomp[1], precomp[2], a, modulus, mp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = ecc_projective_add_point_safe(precomp[1], precomp[2], precomp[3],
|
|
a, modulus, mp, NULL);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* precomp [0,i](A + B) table */
|
|
err = ecc_projective_dbl_point_safe(precomp[4], precomp[8], a, modulus, mp);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = ecc_projective_add_point_safe(precomp[4], precomp[8], precomp[12], a,
|
|
modulus, mp, NULL);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* precomp [i,j](A + B) table (i != 0, j != 0) */
|
|
for (x = 1; x < 4; x++) {
|
|
for (y = 1; y < 4; y++) {
|
|
if (err == MP_OKAY) {
|
|
err = ecc_projective_add_point_safe(precomp[x], precomp[(y<<2)],
|
|
precomp[x+(y<<2)], a, modulus,
|
|
mp, NULL);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
nibble = 3;
|
|
first = 1;
|
|
bitbufA = tA[0];
|
|
bitbufB = tB[0];
|
|
|
|
/* for every byte of the multiplicands */
|
|
for (x = 0; x < (int)len || nibble != 3; ) {
|
|
/* grab a nibble */
|
|
if (++nibble == 4) {
|
|
if (x == (int)len) break;
|
|
bitbufA = tA[x];
|
|
bitbufB = tB[x];
|
|
nibble = 0;
|
|
x++;
|
|
}
|
|
|
|
/* extract two bits from both, shift/update */
|
|
nA = (bitbufA >> 6) & 0x03;
|
|
nB = (bitbufB >> 6) & 0x03;
|
|
bitbufA = (bitbufA << 2) & 0xFF;
|
|
bitbufB = (bitbufB << 2) & 0xFF;
|
|
|
|
/* if both zero, if first, continue */
|
|
if ((nA == 0) && (nB == 0) && (first == 1)) {
|
|
continue;
|
|
}
|
|
|
|
/* double twice, only if this isn't the first */
|
|
if (first == 0) {
|
|
/* double twice */
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(C, C, a, modulus, mp);
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_dbl_point_safe(C, C, a, modulus, mp);
|
|
else
|
|
break;
|
|
}
|
|
|
|
/* if not both zero */
|
|
if ((nA != 0) || (nB != 0)) {
|
|
unsigned int i = nA + (nB<<2);
|
|
if (first == 1) {
|
|
/* if first, copy from table */
|
|
first = 0;
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(precomp[i]->x, C->x);
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(precomp[i]->y, C->y);
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(precomp[i]->z, C->z);
|
|
else
|
|
break;
|
|
} else {
|
|
/* if not first, add from table */
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_add_point_safe(C, precomp[i],
|
|
C, a, modulus, mp,
|
|
&first);
|
|
if (err != MP_OKAY)
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* reduce to affine */
|
|
if (err == MP_OKAY)
|
|
err = ecc_map(C, modulus, mp);
|
|
|
|
/* clean up */
|
|
for (x = 0; x < SHAMIR_PRECOMP_SZ; x++) {
|
|
wc_ecc_del_point_ex(precomp[x], heap);
|
|
}
|
|
|
|
ForceZero(tA, ECC_BUFSIZE);
|
|
ForceZero(tB, ECC_BUFSIZE);
|
|
#ifdef WOLFSSL_SMALL_STACK_CACHE
|
|
#ifdef ALT_ECC_SIZE
|
|
XFREE(key->z, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->y, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->x, heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
XFREE(key->t2, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key->t1, heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(key, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
C->key = NULL;
|
|
#endif
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(precomp, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
XFREE(tB, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#elif defined(WOLFSSL_CHECK_MEM_ZERO)
|
|
wc_MemZero_Check(tB, ECC_BUFSIZE);
|
|
wc_MemZero_Check(tA, ECC_BUFSIZE);
|
|
#endif
|
|
return err;
|
|
}
|
|
|
|
#endif /* ECC_SHAMIR */
|
|
#endif /* (!WOLFSSL_SP_MATH && !WOLFSSL_ATECC508A && !WOLFSSL_ATECC608A &&
|
|
* !WOLFSSL_CRYPTOCEL */
|
|
|
|
|
|
#ifdef HAVE_ECC_VERIFY
|
|
/* verify
|
|
*
|
|
* w = s^-1 mod n
|
|
* u1 = xw
|
|
* u2 = rw
|
|
* X = u1*G + u2*Q
|
|
* v = X_x1 mod n
|
|
* accept if v == r
|
|
*/
|
|
|
|
/**
|
|
Verify an ECC signature
|
|
sig The signature to verify
|
|
siglen The length of the signature (octets)
|
|
hash The hash (message digest) that was signed
|
|
hashlen The length of the hash (octets)
|
|
res Result of signature, 1==valid, 0==invalid
|
|
key The corresponding public ECC key
|
|
return MP_OKAY if successful (even if the signature is not valid)
|
|
Caller should check the *res value to determine if the signature
|
|
is valid or invalid. Other negative values are returned on error.
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_verify_hash(const byte* sig, word32 siglen, const byte* hash,
|
|
word32 hashlen, int* res, ecc_key* key)
|
|
{
|
|
int err;
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
mp_int *r = NULL, *s = NULL;
|
|
#else
|
|
DECL_MP_INT_SIZE_DYN(r, ECC_KEY_MAX_BITS(key), MAX_ECC_BITS_USE);
|
|
DECL_MP_INT_SIZE_DYN(s, ECC_KEY_MAX_BITS(key), MAX_ECC_BITS_USE);
|
|
#endif
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
int isPrivateKeyOnly = 0;
|
|
#endif
|
|
#ifdef NO_ASN
|
|
word32 keySz;
|
|
#endif
|
|
|
|
if (sig == NULL || hash == NULL || res == NULL || key == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
#ifdef WOLF_CRYPTO_CB
|
|
#ifndef WOLF_CRYPTO_CB_FIND
|
|
if (key->devId != INVALID_DEVID)
|
|
#endif
|
|
{
|
|
err = wc_CryptoCb_EccVerify(sig, siglen, hash, hashlen, res, key);
|
|
if (err != WC_NO_ERR_TRACE(CRYPTOCB_UNAVAILABLE))
|
|
return err;
|
|
/* fall-through when unavailable */
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLF_CRYPTO_CB_ONLY_ECC
|
|
(void)siglen;
|
|
(void)hashlen;
|
|
(void)s;
|
|
(void)r;
|
|
(void)err;
|
|
return NO_VALID_DEVID;
|
|
#else /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
err = wc_ecc_alloc_async(key);
|
|
if (err != 0)
|
|
return err;
|
|
r = key->r;
|
|
s = key->s;
|
|
#else
|
|
NEW_MP_INT_SIZE(r, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap,
|
|
DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (r == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
NEW_MP_INT_SIZE(s, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap,
|
|
DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (s == NULL) {
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
err = INIT_MP_INT_SIZE(r, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
if (err != 0) {
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
err = INIT_MP_INT_SIZE(s, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
if (err != 0) {
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT */
|
|
|
|
switch (key->state) {
|
|
case ECC_STATE_NONE:
|
|
case ECC_STATE_VERIFY_DECODE:
|
|
key->state = ECC_STATE_VERIFY_DECODE;
|
|
|
|
/* default to invalid signature */
|
|
*res = 0;
|
|
|
|
#ifndef NO_ASN
|
|
/* Decode ASN.1 ECDSA signature. */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
/* Note, DecodeECC_DSA_Sig() calls mp_init() on r and s.
|
|
* If either of those don't allocate correctly, none of
|
|
* the rest of this function will execute, and everything
|
|
* gets cleaned up at the end. */
|
|
err = DecodeECC_DSA_Sig(sig, siglen, r, s);
|
|
#else
|
|
/* r and s are initialized. */
|
|
err = DecodeECC_DSA_Sig_Ex(sig, siglen, r, s, 0);
|
|
#endif
|
|
if (err < 0) {
|
|
break;
|
|
}
|
|
#else
|
|
/* No support for DSA ASN.1 header.
|
|
* Signature must be r+s directly. */
|
|
keySz = 0;
|
|
if (key->dp != NULL) {
|
|
keySz = (word32)key->dp->size;
|
|
}
|
|
if (siglen != keySz * 2) {
|
|
WOLFSSL_MSG("Error: ECDSA Verify raw signature size");
|
|
return WC_NO_ERR_TRACE(ECC_BAD_ARG_E);
|
|
}
|
|
|
|
/* Import signature into r,s */
|
|
mp_init(r);
|
|
mp_init(s);
|
|
mp_read_unsigned_bin(r, sig, keySz);
|
|
mp_read_unsigned_bin(s, sig + keySz, keySz);
|
|
#endif /* !NO_ASN */
|
|
FALL_THROUGH;
|
|
|
|
case ECC_STATE_VERIFY_DO:
|
|
key->state = ECC_STATE_VERIFY_DO;
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
if (key->type == ECC_PRIVATEKEY_ONLY) {
|
|
isPrivateKeyOnly = 1;
|
|
}
|
|
#endif
|
|
err = wc_ecc_verify_hash_ex(r, s, hash, hashlen, res, key);
|
|
|
|
#ifndef WOLFSSL_ASYNC_CRYPT
|
|
/* done with R/S */
|
|
mp_clear(r);
|
|
mp_clear(s);
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
r = NULL;
|
|
s = NULL;
|
|
#endif
|
|
#endif
|
|
|
|
if (err < 0) {
|
|
break;
|
|
}
|
|
FALL_THROUGH;
|
|
|
|
case ECC_STATE_VERIFY_RES:
|
|
key->state = ECC_STATE_VERIFY_RES;
|
|
err = 0;
|
|
break;
|
|
|
|
default:
|
|
err = BAD_STATE_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_ASYNC_CRYPT
|
|
/* if async pending then return and skip done cleanup below */
|
|
if (err == WC_NO_ERR_TRACE(WC_PENDING_E)) {
|
|
if (!isPrivateKeyOnly) /* do not advance state if doing make pub key */
|
|
key->state++;
|
|
return err;
|
|
}
|
|
#endif
|
|
|
|
/* cleanup */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
wc_ecc_free_async(key);
|
|
#else
|
|
FREE_MP_INT_SIZE(s, key->heap, DYNAMIC_TYPE_ECC);
|
|
FREE_MP_INT_SIZE(r, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
/* make sure required variables are reset */
|
|
wc_ecc_reset(key);
|
|
return err;
|
|
#endif /* !WOLF_CRYPTO_CB_ONLY_ECC */
|
|
}
|
|
|
|
#ifndef WOLF_CRYPTO_CB_ONLY_ECC
|
|
|
|
#if !defined(WOLFSSL_STM32_PKA) && !defined(WOLFSSL_PSOC6_CRYPTO) && \
|
|
!defined(WOLF_CRYPTO_CB_ONLY_ECC)
|
|
static int wc_ecc_check_r_s_range(ecc_key* key, mp_int* r, mp_int* s)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(1);
|
|
|
|
ALLOC_CURVE_SPECS(1, err);
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
|
|
}
|
|
if (err != 0) {
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
|
|
if (mp_iszero(r) || mp_iszero(s)) {
|
|
err = MP_ZERO_E;
|
|
}
|
|
if ((err == 0) && (mp_cmp(r, curve->order) != MP_LT)) {
|
|
err = MP_VAL;
|
|
}
|
|
if ((err == 0) && (mp_cmp(s, curve->order) != MP_LT)) {
|
|
err = MP_VAL;
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
#endif /* !WOLFSSL_STM32_PKA && !WOLFSSL_PSOC6_CRYPTO */
|
|
|
|
#ifdef HAVE_ECC_VERIFY_HELPER
|
|
static int ecc_verify_hash_sp(mp_int *r, mp_int *s, const byte* hash,
|
|
word32 hashlen, int* res, ecc_key* key)
|
|
{
|
|
(void)r;
|
|
(void)s;
|
|
(void)hash;
|
|
(void)hashlen;
|
|
(void)res;
|
|
(void)key;
|
|
|
|
#if defined(WOLFSSL_DSP) && !defined(FREESCALE_LTC_ECC)
|
|
if (key->handle != -1) {
|
|
return sp_dsp_ecc_verify_256(key->handle, hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
}
|
|
if (wolfSSL_GetHandleCbSet() == 1) {
|
|
return sp_dsp_ecc_verify_256(0, hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_SP_MATH) && !defined(FREESCALE_LTC_ECC)
|
|
if (key->idx == ECC_CUSTOM_IDX || (1
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
&& ecc_sets[key->idx].id != ECC_SECP256R1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_SM2
|
|
&& ecc_sets[key->idx].id != ECC_SM2P256V1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
&& ecc_sets[key->idx].id != ECC_SECP384R1
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
&& ecc_sets[key->idx].id != ECC_SECP521R1
|
|
#endif
|
|
)) {
|
|
return WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_HAVE_SP_ECC)
|
|
if (key->idx != ECC_CUSTOM_IDX) {
|
|
#if defined(WC_ECC_NONBLOCK) && defined(WC_ECC_NONBLOCK_ONLY)
|
|
/* perform blocking call to non-blocking function */
|
|
ecc_nb_ctx_t nb_ctx;
|
|
int err;
|
|
XMEMSET(&nb_ctx, 0, sizeof(nb_ctx));
|
|
err = NOT_COMPILED_IN; /* set default error */
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_verify_256_nb(&key->nb_ctx->sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_verify_256_nb(&nb_ctx.sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_verify_256(hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
#if defined(FP_ECC_CONTROL) && !defined(WOLFSSL_DSP_BUILD)
|
|
return sp_ecc_cache_verify_sm2_256(hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res,
|
|
sp_ecc_get_cache_entry_256(&(key->pubkey), ECC_SM2P256V1,
|
|
key->fpIdx, key->fpBuild, key->heap),
|
|
key->heap);
|
|
#endif
|
|
#if !defined(FP_ECC_CONTROL)
|
|
return sp_ecc_verify_sm2_256(hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
#endif
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_verify_384_nb(&key->nb_ctx->sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_verify_384_nb(&nb_ctx.sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_verify_384(hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
#ifdef WC_ECC_NONBLOCK
|
|
if (key->nb_ctx) {
|
|
return sp_ecc_verify_521_nb(&key->nb_ctx->sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
}
|
|
#ifdef WC_ECC_NONBLOCK_ONLY
|
|
do { /* perform blocking call to non-blocking function */
|
|
err = sp_ecc_verify_521_nb(&nb_ctx.sp_ctx, hash, hashlen,
|
|
key->pubkey.x, key->pubkey.y, key->pubkey.z, r, s, res,
|
|
key->heap);
|
|
} while (err == FP_WOULDBLOCK);
|
|
return err;
|
|
#endif
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
#if !defined(WC_ECC_NONBLOCK) || (defined(WC_ECC_NONBLOCK) && !defined(WC_ECC_NONBLOCK_ONLY))
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_verify_521(hash, hashlen, key->pubkey.x,
|
|
key->pubkey.y, key->pubkey.z, r, s, res, key->heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
|
|
return NOT_COMPILED_IN;
|
|
}
|
|
|
|
#if !defined(WOLFSSL_SP_MATH) || defined(FREESCALE_LTC_ECC)
|
|
static int ecc_verify_hash(mp_int *r, mp_int *s, const byte* hash,
|
|
word32 hashlen, int* res, ecc_key* key, ecc_curve_spec* curve)
|
|
{
|
|
int err;
|
|
ecc_point* mG = NULL;
|
|
ecc_point* mQ = NULL;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_mG;
|
|
ecc_point lcl_mQ;
|
|
#endif
|
|
DECL_MP_INT_SIZE_DYN(w, ECC_KEY_MAX_BITS_NONULLCHECK(key), MAX_ECC_BITS_USE);
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
|
|
DECL_MP_INT_SIZE_DYN(e_lcl, ECC_KEY_MAX_BITS_NONULLCHECK(key), MAX_ECC_BITS_USE);
|
|
#endif
|
|
mp_int* e;
|
|
mp_int* v = NULL; /* Will be w. */
|
|
#if defined(WOLFSSL_CHECK_VER_FAULTS) && defined(WOLFSSL_NO_MALLOC)
|
|
mp_int u1tmp[1];
|
|
mp_int u2tmp[1];
|
|
#endif
|
|
mp_int* u1 = NULL; /* Will be e. */
|
|
mp_int* u2 = NULL; /* Will be w. */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(HAVE_CAVIUM_V)
|
|
err = wc_ecc_alloc_mpint(key, &key->e);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
e = key->e;
|
|
|
|
err = mp_init(e);
|
|
#else
|
|
NEW_MP_INT_SIZE(e_lcl, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (e_lcl == NULL) {
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
e = e_lcl;
|
|
|
|
err = INIT_MP_INT_SIZE(e, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && HAVE_CAVIUM_V */
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
|
|
XFREE(e_lcl, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
#endif
|
|
return MEMORY_E;
|
|
}
|
|
|
|
/* read hash */
|
|
if (err == MP_OKAY) {
|
|
/* we may need to truncate if hash is longer than key size */
|
|
unsigned int orderBits = (unsigned int)mp_count_bits(curve->order);
|
|
|
|
/* truncate down to byte size, may be all that's needed */
|
|
if ( (WOLFSSL_BIT_SIZE * hashlen) > orderBits)
|
|
hashlen = (orderBits + WOLFSSL_BIT_SIZE - 1) / WOLFSSL_BIT_SIZE;
|
|
err = mp_read_unsigned_bin(e, hash, hashlen);
|
|
|
|
/* may still need bit truncation too */
|
|
if (err == MP_OKAY && (WOLFSSL_BIT_SIZE * hashlen) > orderBits)
|
|
mp_rshb(e, (int)(WOLFSSL_BIT_SIZE - (orderBits & 0x7)));
|
|
}
|
|
|
|
/* check for async hardware acceleration */
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
if (err == MP_OKAY && key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
#if defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)
|
|
#ifdef HAVE_CAVIUM_V
|
|
if (NitroxEccIsCurveSupported(key))
|
|
#endif
|
|
{
|
|
word32 keySz = (word32)key->dp->size;
|
|
err = wc_mp_to_bigint_sz(e, &e->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(key->pubkey.x, &key->pubkey.x->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
err = wc_mp_to_bigint_sz(key->pubkey.y, &key->pubkey.y->raw, keySz);
|
|
if (err == MP_OKAY)
|
|
#ifdef HAVE_CAVIUM_V
|
|
err = NitroxEcdsaVerify(key, &e->raw, &key->pubkey.x->raw,
|
|
&key->pubkey.y->raw, &r->raw, &s->raw,
|
|
&curve->prime->raw, &curve->order->raw, res);
|
|
#else
|
|
err = IntelQaEcdsaVerify(&key->asyncDev, &e->raw, &key->pubkey.x->raw,
|
|
&key->pubkey.y->raw, &r->raw, &s->raw, &curve->Af->raw,
|
|
&curve->Bf->raw, &curve->prime->raw, &curve->order->raw,
|
|
&curve->Gx->raw, &curve->Gy->raw, res);
|
|
#endif
|
|
|
|
#ifndef HAVE_CAVIUM_V
|
|
mp_clear(e);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
#endif /* HAVE_CAVIUM_V || HAVE_INTEL_QA */
|
|
}
|
|
#endif /* WOLFSSL_ASYNC_CRYPT && WC_ASYNC_ENABLE_ECC */
|
|
|
|
NEW_MP_INT_SIZE(w, ECC_KEY_MAX_BITS_NONULLCHECK(key), key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef MP_INT_SIZE_CHECK_NULL
|
|
if (w == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
u1 = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
|
|
u2 = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
|
|
if (u1 == NULL || u2 == NULL)
|
|
err = MEMORY_E;
|
|
#else
|
|
u1 = u1tmp;
|
|
u2 = u2tmp;
|
|
#endif
|
|
#else
|
|
u1 = e;
|
|
u2 = w;
|
|
#endif
|
|
v = w;
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(w, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(u1, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = INIT_MP_INT_SIZE(u2, ECC_KEY_MAX_BITS_NONULLCHECK(key));
|
|
}
|
|
#endif
|
|
|
|
/* allocate points */
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
mG = &lcl_mG;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&mG, key->heap);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
mQ = &lcl_mQ;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&mQ, key->heap);
|
|
}
|
|
|
|
/* w = s^-1 mod n */
|
|
if (err == MP_OKAY)
|
|
err = mp_invmod(s, curve->order, w);
|
|
|
|
/* u1 = ew */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(e, w, curve->order, u1);
|
|
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY && mp_iszero(e) != MP_YES && mp_cmp(u1, e) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
#endif
|
|
|
|
/* u2 = rw */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(r, w, curve->order, u2);
|
|
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY && mp_cmp(u2, w) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
#endif
|
|
|
|
/* find mG and mQ */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gx, mG->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gy, mG->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(mG->z, 1);
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(key->pubkey.x, mQ->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(key->pubkey.y, mQ->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(key->pubkey.z, mQ->z);
|
|
|
|
#if defined(FREESCALE_LTC_ECC)
|
|
/* use PKHA to compute u1*mG + u2*mQ */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_mulmod_ex(u1, mG, mG, curve->Af, curve->prime, 0, key->heap);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_mulmod_ex(u2, mQ, mQ, curve->Af, curve->prime, 0, key->heap);
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_point_add(mG, mQ, mG, curve->prime);
|
|
#else
|
|
#ifndef ECC_SHAMIR
|
|
if (err == MP_OKAY)
|
|
{
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
ecc_point mG1, mQ1;
|
|
wc_ecc_copy_point(mQ, &mQ1);
|
|
wc_ecc_copy_point(mG, &mG1);
|
|
#endif
|
|
|
|
mp_digit mp = 0;
|
|
|
|
if (!mp_iszero((MP_INT_SIZE*)u1)) {
|
|
/* compute u1*mG + u2*mQ = mG */
|
|
err = wc_ecc_mulmod_ex(u1, mG, mG, curve->Af, curve->prime, 0,
|
|
key->heap);
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY && wc_ecc_cmp_point(mG, &mG1) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
|
|
/* store new value for comparing with after add operation */
|
|
wc_ecc_copy_point(mG, &mG1);
|
|
#endif
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_mulmod_ex(u2, mQ, mQ, curve->Af, curve->prime, 0,
|
|
key->heap);
|
|
}
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY && wc_ecc_cmp_point(mQ, &mQ1) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
#endif
|
|
|
|
/* find the montgomery mp */
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_setup(curve->prime, &mp);
|
|
|
|
/* add them */
|
|
if (err == MP_OKAY)
|
|
err = ecc_projective_add_point_safe(mQ, mG, mG, curve->Af,
|
|
curve->prime, mp, NULL);
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
if (err == MP_OKAY && wc_ecc_cmp_point(mG, &mG1) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
if (err == MP_OKAY && wc_ecc_cmp_point(mG, mQ) == MP_EQ) {
|
|
err = BAD_STATE_E;
|
|
}
|
|
#endif
|
|
}
|
|
else {
|
|
/* compute 0*mG + u2*mQ = mG */
|
|
err = wc_ecc_mulmod_ex(u2, mQ, mG, curve->Af, curve->prime, 0,
|
|
key->heap);
|
|
/* find the montgomery mp */
|
|
if (err == MP_OKAY)
|
|
err = mp_montgomery_setup(curve->prime, &mp);
|
|
}
|
|
|
|
/* reduce */
|
|
if (err == MP_OKAY)
|
|
err = ecc_map(mG, curve->prime, mp);
|
|
}
|
|
#else
|
|
/* use Shamir's trick to compute u1*mG + u2*mQ using half the doubles */
|
|
if (err == MP_OKAY) {
|
|
err = ecc_mul2add(mG, u1, mQ, u2, mG, curve->Af, curve->prime,
|
|
key->heap);
|
|
}
|
|
#endif /* ECC_SHAMIR */
|
|
#endif /* FREESCALE_LTC_ECC */
|
|
|
|
/* v = X_x1 mod n */
|
|
if (err == MP_OKAY)
|
|
err = mp_mod(mG->x, curve->order, v);
|
|
|
|
/* does v == r */
|
|
if (err == MP_OKAY) {
|
|
if (mp_cmp(v, r) == MP_EQ)
|
|
*res = 1;
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
/* redundant comparison as sanity check that first one happened */
|
|
if (*res == 1 && mp_cmp(r, v) != MP_EQ)
|
|
*res = 0;
|
|
#endif
|
|
}
|
|
|
|
/* cleanup */
|
|
wc_ecc_del_point_ex(mG, key->heap);
|
|
wc_ecc_del_point_ex(mQ, key->heap);
|
|
|
|
mp_clear(e);
|
|
mp_clear(w);
|
|
FREE_MP_INT_SIZE(w, key->heap, DYNAMIC_TYPE_ECC);
|
|
#ifdef WOLFSSL_CHECK_VER_FAULTS
|
|
mp_clear(u1);
|
|
mp_clear(u2);
|
|
#ifndef WOLFSSL_NO_MALLOC
|
|
XFREE(u1, key->heap, DYNAMIC_TYPE_ECC);
|
|
XFREE(u2, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
#endif
|
|
#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
|
|
FREE_MP_INT_SIZE(e_lcl, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
#endif /* !WOLFSSL_SP_MATH || FREESCALE_LTC_ECC */
|
|
#endif /* HAVE_ECC_VERIFY_HELPER */
|
|
|
|
/**
|
|
Verify an ECC signature
|
|
r The signature R component to verify
|
|
s The signature S component to verify
|
|
hash The hash (message digest) that was signed
|
|
hashlen The length of the hash (octets)
|
|
res Result of signature, 1==valid, 0==invalid
|
|
key The corresponding public ECC key
|
|
return MP_OKAY if successful (even if the signature is not valid)
|
|
Caller should check the *res value to determine if the signature
|
|
is valid or invalid. Other negative values are returned on error.
|
|
*/
|
|
int wc_ecc_verify_hash_ex(mp_int *r, mp_int *s, const byte* hash,
|
|
word32 hashlen, int* res, ecc_key* key)
|
|
{
|
|
#if defined(WOLFSSL_STM32_PKA)
|
|
return stm32_ecc_verify_hash_ex(r, s, hash, hashlen, res, key);
|
|
#elif defined(WOLFSSL_PSOC6_CRYPTO)
|
|
return psoc6_ecc_verify_hash_ex(r, s, hash, hashlen, res, key);
|
|
#else
|
|
int err;
|
|
word32 keySz = 0;
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
byte sigRS[ATECC_KEY_SIZE*2];
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
byte sigRS[ECC_MAX_CRYPTO_HW_SIZE*2];
|
|
CRYS_ECDSA_VerifyUserContext_t sigCtxTemp;
|
|
word32 msgLenInBytes = hashlen;
|
|
CRYS_ECPKI_HASH_OpMode_t hash_mode;
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
byte sigRS[ECC_MAX_CRYPTO_HW_SIZE * 2];
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
byte sigRS[MAX_ECC_BYTES*2];
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
byte sigRS[ECC_MAX_CRYPTO_HW_SIZE * 2];
|
|
byte hashcopy[ECC_MAX_CRYPTO_HW_SIZE] = {0};
|
|
#elif defined(WOLFSSL_SE050)
|
|
#else
|
|
int curveLoaded = 0;
|
|
DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
|
|
#endif
|
|
|
|
if (r == NULL || s == NULL || hash == NULL || res == NULL || key == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
/* default to invalid signature */
|
|
*res = 0;
|
|
|
|
/* is the IDX valid ? */
|
|
if (wc_ecc_is_valid_idx(key->idx) == 0 || key->dp == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
err = wc_ecc_check_r_s_range(key, r, s);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
|
|
keySz = (word32)key->dp->size;
|
|
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
|
|
defined(WOLFSSL_ASYNC_CRYPT_SW)
|
|
if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
|
|
if (wc_AsyncSwInit(&key->asyncDev, ASYNC_SW_ECC_VERIFY)) {
|
|
WC_ASYNC_SW* sw = &key->asyncDev.sw;
|
|
sw->eccVerify.r = r;
|
|
sw->eccVerify.s = s;
|
|
sw->eccVerify.hash = hash;
|
|
sw->eccVerify.hashlen = hashlen;
|
|
sw->eccVerify.stat = res;
|
|
sw->eccVerify.key = key;
|
|
return WC_PENDING_E;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
#ifndef HAVE_ECC_VERIFY_HELPER
|
|
|
|
#ifndef WOLFSSL_SE050
|
|
/* Extract R and S with front zero padding (if required),
|
|
* SE050 does this in port layer */
|
|
XMEMSET(sigRS, 0, sizeof(sigRS));
|
|
err = mp_to_unsigned_bin(r, sigRS +
|
|
(keySz - mp_unsigned_bin_size(r)));
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
err = mp_to_unsigned_bin(s, sigRS + keySz +
|
|
(keySz - mp_unsigned_bin_size(s)));
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
#endif /* WOLFSSL_SE050 */
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
err = atmel_ecc_verify(hash, sigRS, key->pubkey_raw, res);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
(void)hashlen;
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
/* truncate if hash is longer than key size */
|
|
if (msgLenInBytes > keySz) {
|
|
msgLenInBytes = keySz;
|
|
}
|
|
hash_mode = cc310_hashModeECC(msgLenInBytes);
|
|
if (hash_mode == CRYS_ECPKI_HASH_OpModeLast) {
|
|
/* hash_mode = */ cc310_hashModeECC(keySz);
|
|
hash_mode = CRYS_ECPKI_HASH_SHA256_mode;
|
|
}
|
|
|
|
/* verify the signature using the public key */
|
|
err = CRYS_ECDSA_Verify(&sigCtxTemp,
|
|
&key->ctx.pubKey,
|
|
hash_mode,
|
|
&sigRS[0],
|
|
keySz*2,
|
|
(byte*)hash,
|
|
msgLenInBytes);
|
|
|
|
if (err == CRYS_ECDSA_VERIFY_INCONSISTENT_VERIFY_ERROR) {
|
|
/* signature verification reported invalid signature. */
|
|
*res = 0; /* Redundant, added for code clarity */
|
|
err = MP_OKAY;
|
|
}
|
|
else if (err != SA_SILIB_RET_OK) {
|
|
WOLFSSL_MSG("CRYS_ECDSA_Verify failed");
|
|
return err;
|
|
}
|
|
else {
|
|
/* valid signature. */
|
|
*res = 1;
|
|
err = MP_OKAY;
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
err = silabs_ecc_verify_hash(&sigRS[0], keySz * 2,
|
|
hash, hashlen,
|
|
res, key);
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
err = KcapiEcc_Verify(key, hash, hashlen, sigRS, keySz * 2);
|
|
if (err == 0) {
|
|
*res = 1;
|
|
}
|
|
#elif defined(WOLFSSL_SE050)
|
|
err = se050_ecc_verify_hash_ex(hash, hashlen, r, s, key, res);
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
if (hashlen > sizeof(hashcopy))
|
|
return ECC_BAD_ARG_E;
|
|
buf_reverse(hashcopy, hash, (hashlen < keySz) ? hashlen : keySz);
|
|
mp_reverse(sigRS, keySz);
|
|
mp_reverse(sigRS + keySz, keySz);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(hashcopy), keySz);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->keyRaw), keySz * 2);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(sigRS), keySz * 2);
|
|
|
|
err = XSecure_EllipticVerifySign(&(key->xSec.cinst),
|
|
xil_curve_type[key->dp->id],
|
|
XIL_CAST_U64(hashcopy), keySz,
|
|
XIL_CAST_U64(key->keyRaw),
|
|
XIL_CAST_U64(sigRS));
|
|
|
|
if (err != XST_SUCCESS) {
|
|
WOLFSSL_XIL_ERROR("Verify ECC signature failed", err);
|
|
err = WC_HW_E;
|
|
} else {
|
|
*res = 1;
|
|
}
|
|
#endif
|
|
|
|
#else
|
|
/* checking if private key with no public part */
|
|
if (key->type == ECC_PRIVATEKEY_ONLY) {
|
|
WOLFSSL_MSG("Verify called with private key, generating public part");
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err != MP_OKAY) {
|
|
return err;
|
|
}
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
if (err != MP_OKAY) {
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
err = ecc_make_pub_ex(key, curve, NULL, NULL);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("Unable to extract public key");
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
curveLoaded = 1;
|
|
}
|
|
|
|
err = ecc_verify_hash_sp(r, s, hash, hashlen, res, key);
|
|
if (err != WC_NO_ERR_TRACE(NOT_COMPILED_IN)) {
|
|
if (curveLoaded) {
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
}
|
|
return err;
|
|
}
|
|
|
|
#if !defined(WOLFSSL_SP_MATH) || defined(FREESCALE_LTC_ECC)
|
|
if (!curveLoaded) {
|
|
ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT, err);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
/* read in the specs for this curve */
|
|
err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
|
|
if (err != 0) {
|
|
FREE_CURVE_SPECS();
|
|
return err;
|
|
}
|
|
}
|
|
|
|
err = ecc_verify_hash(r, s, hash, hashlen, res, key, curve);
|
|
#endif /* !WOLFSSL_SP_MATH || FREESCALE_LTC_ECC */
|
|
|
|
(void)curveLoaded;
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
#endif /* HAVE_ECC_VERIFY_HELPER */
|
|
|
|
(void)keySz;
|
|
(void)hashlen;
|
|
|
|
return err;
|
|
#endif /* WOLFSSL_STM32_PKA */
|
|
}
|
|
#endif /* WOLF_CRYPTO_CB_ONLY_ECC */
|
|
#endif /* HAVE_ECC_VERIFY */
|
|
|
|
#ifdef HAVE_ECC_KEY_IMPORT
|
|
/* import point from der
|
|
* if shortKeySize != 0 then keysize is always (inLen-1)>>1 */
|
|
int wc_ecc_import_point_der_ex(const byte* in, word32 inLen,
|
|
const int curve_idx, ecc_point* point,
|
|
int shortKeySize)
|
|
{
|
|
int err = 0;
|
|
#ifdef HAVE_COMP_KEY
|
|
int compressed = 0;
|
|
#endif
|
|
int keysize;
|
|
byte pointType;
|
|
|
|
#ifndef HAVE_COMP_KEY
|
|
(void)shortKeySize;
|
|
#endif
|
|
|
|
if (in == NULL || point == NULL || (curve_idx < 0) ||
|
|
(wc_ecc_is_valid_idx(curve_idx) == 0))
|
|
return ECC_BAD_ARG_E;
|
|
|
|
/* must be odd */
|
|
if ((inLen & 1) == 0) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* clear if previously allocated */
|
|
mp_clear(point->x);
|
|
mp_clear(point->y);
|
|
mp_clear(point->z);
|
|
|
|
/* init point */
|
|
#ifdef ALT_ECC_SIZE
|
|
point->x = (mp_int*)&point->xyz[0];
|
|
point->y = (mp_int*)&point->xyz[1];
|
|
point->z = (mp_int*)&point->xyz[2];
|
|
alt_fp_init(point->x);
|
|
alt_fp_init(point->y);
|
|
alt_fp_init(point->z);
|
|
#else
|
|
err = mp_init_multi(point->x, point->y, point->z, NULL, NULL, NULL);
|
|
#endif
|
|
if (err != MP_OKAY)
|
|
return MEMORY_E;
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
/* check for point type (4, 2, or 3) */
|
|
pointType = in[0];
|
|
if (pointType != ECC_POINT_UNCOMP && pointType != ECC_POINT_COMP_EVEN &&
|
|
pointType != ECC_POINT_COMP_ODD) {
|
|
err = ASN_PARSE_E;
|
|
}
|
|
|
|
if (pointType == ECC_POINT_COMP_EVEN || pointType == ECC_POINT_COMP_ODD) {
|
|
#ifdef HAVE_COMP_KEY
|
|
compressed = 1;
|
|
#else
|
|
err = NOT_COMPILED_IN;
|
|
#endif
|
|
}
|
|
|
|
/* adjust to skip first byte */
|
|
inLen -= 1;
|
|
in += 1;
|
|
|
|
/* calculate key size based on inLen / 2 if uncompressed or shortKeySize
|
|
* is true */
|
|
#ifdef HAVE_COMP_KEY
|
|
keysize = (int)((compressed && !shortKeySize) ? inLen : inLen>>1);
|
|
#else
|
|
keysize = (int)(inLen>>1);
|
|
#endif
|
|
|
|
/* read data */
|
|
if (err == MP_OKAY)
|
|
err = mp_read_unsigned_bin(point->x, in, (word32)keysize);
|
|
|
|
#ifdef HAVE_COMP_KEY
|
|
if (err == MP_OKAY && compressed == 1) { /* build y */
|
|
#if defined(WOLFSSL_HAVE_SP_ECC)
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (curve_idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[curve_idx].id == ECC_SECP256R1) {
|
|
err = sp_ecc_uncompress_256(point->x, pointType, point->y);
|
|
}
|
|
else
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (curve_idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[curve_idx].id == ECC_SM2P256V1) {
|
|
sp_ecc_uncompress_sm2_256(point->x, pointType, point->y);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (curve_idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[curve_idx].id == ECC_SECP384R1) {
|
|
err = sp_ecc_uncompress_384(point->x, pointType, point->y);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (curve_idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[curve_idx].id == ECC_SECP521R1) {
|
|
err = sp_ecc_uncompress_521(point->x, pointType, point->y);
|
|
}
|
|
else
|
|
#endif
|
|
#endif
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
{
|
|
int did_init = 0;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* t1 = NULL;
|
|
mp_int* t2 = NULL;
|
|
#else
|
|
mp_int t1[1], t2[1];
|
|
#endif
|
|
DECLARE_CURVE_SPECS(3);
|
|
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if (err == MP_OKAY) {
|
|
t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL,
|
|
DYNAMIC_TYPE_BIGINT);
|
|
if (t1 == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
}
|
|
if (err == MP_OKAY) {
|
|
t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL,
|
|
DYNAMIC_TYPE_BIGINT);
|
|
if (t2 == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
if (mp_init_multi(t1, t2, NULL, NULL, NULL, NULL) != MP_OKAY)
|
|
err = MEMORY_E;
|
|
else
|
|
did_init = 1;
|
|
}
|
|
|
|
/* load curve info */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(&ecc_sets[curve_idx], &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF |
|
|
ECC_CURVE_FIELD_BF));
|
|
|
|
#if defined(WOLFSSL_CUSTOM_CURVES) && \
|
|
defined(WOLFSSL_VALIDATE_ECC_IMPORT)
|
|
/* validate prime is prime for custom curves */
|
|
if (err == MP_OKAY && curve_idx == ECC_CUSTOM_IDX) {
|
|
int isPrime = MP_NO;
|
|
err = mp_prime_is_prime(curve->prime, 8, &isPrime);
|
|
if (err == MP_OKAY && isPrime == MP_NO)
|
|
err = MP_VAL;
|
|
}
|
|
#endif
|
|
|
|
/* compute x^3 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(point->x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(t1, point->x, curve->prime, t1);
|
|
|
|
/* compute x^3 + a*x */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(curve->Af, point->x, curve->prime, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, t2, t1);
|
|
|
|
/* compute x^3 + a*x + b */
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, curve->Bf, t1);
|
|
|
|
/* compute sqrt(x^3 + a*x + b) */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqrtmod_prime(t1, curve->prime, t2);
|
|
|
|
/* adjust y */
|
|
if (err == MP_OKAY) {
|
|
if ((mp_isodd(t2) == MP_YES &&
|
|
pointType == ECC_POINT_COMP_ODD) ||
|
|
(mp_isodd(t2) == MP_NO &&
|
|
pointType == ECC_POINT_COMP_EVEN)) {
|
|
err = mp_mod(t2, curve->prime, point->y);
|
|
}
|
|
else {
|
|
err = mp_submod(curve->prime, t2, curve->prime, point->y);
|
|
}
|
|
}
|
|
|
|
if (did_init) {
|
|
mp_clear(t2);
|
|
mp_clear(t1);
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
XFREE(t2, NULL, DYNAMIC_TYPE_BIGINT);
|
|
#endif
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
}
|
|
#else
|
|
{
|
|
err = WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifdef HAVE_COMP_KEY
|
|
if (compressed == 0)
|
|
#endif
|
|
err = mp_read_unsigned_bin(point->y, in + keysize, (word32)keysize);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = mp_set(point->z, 1);
|
|
|
|
if (err != MP_OKAY) {
|
|
mp_clear(point->x);
|
|
mp_clear(point->y);
|
|
mp_clear(point->z);
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return err;
|
|
}
|
|
|
|
/* function for backwards compatibility with previous implementations */
|
|
int wc_ecc_import_point_der(const byte* in, word32 inLen, const int curve_idx,
|
|
ecc_point* point)
|
|
{
|
|
return wc_ecc_import_point_der_ex(in, inLen, curve_idx, point, 1);
|
|
}
|
|
#endif /* HAVE_ECC_KEY_IMPORT */
|
|
|
|
#ifdef HAVE_ECC_KEY_EXPORT
|
|
/* export point to der */
|
|
|
|
int wc_ecc_export_point_der_ex(const int curve_idx, ecc_point* point, byte* out,
|
|
word32* outLen, int compressed)
|
|
{
|
|
if (compressed == 0)
|
|
return wc_ecc_export_point_der(curve_idx, point, out, outLen);
|
|
#ifdef HAVE_COMP_KEY
|
|
else
|
|
return wc_ecc_export_point_der_compressed(curve_idx, point, out, outLen);
|
|
#else
|
|
return NOT_COMPILED_IN;
|
|
#endif
|
|
}
|
|
|
|
int wc_ecc_export_point_der(const int curve_idx, ecc_point* point, byte* out,
|
|
word32* outLen)
|
|
{
|
|
int ret = MP_OKAY;
|
|
word32 numlen;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* buf;
|
|
#else
|
|
byte buf[ECC_BUFSIZE];
|
|
#endif
|
|
|
|
if ((curve_idx < 0) || (wc_ecc_is_valid_idx(curve_idx) == 0))
|
|
return ECC_BAD_ARG_E;
|
|
|
|
numlen = (word32)ecc_sets[curve_idx].size;
|
|
|
|
/* return length needed only */
|
|
if (point != NULL && out == NULL && outLen != NULL) {
|
|
*outLen = 1 + 2*numlen;
|
|
return WC_NO_ERR_TRACE(LENGTH_ONLY_E);
|
|
}
|
|
|
|
if (point == NULL || out == NULL || outLen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
if (*outLen < (1 + 2*numlen)) {
|
|
*outLen = 1 + 2*numlen;
|
|
return BUFFER_E;
|
|
}
|
|
|
|
/* Sanity check the ordinates' sizes. */
|
|
if (((word32)mp_unsigned_bin_size(point->x) > numlen) ||
|
|
((word32)mp_unsigned_bin_size(point->y) > numlen)) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* store byte point type */
|
|
out[0] = ECC_POINT_UNCOMP;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
buf = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (buf == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
|
|
/* pad and store x */
|
|
XMEMSET(buf, 0, ECC_BUFSIZE);
|
|
ret = mp_to_unsigned_bin(point->x, buf +
|
|
(numlen - (word32)mp_unsigned_bin_size(point->x)));
|
|
if (ret != MP_OKAY)
|
|
goto done;
|
|
XMEMCPY(out+1, buf, numlen);
|
|
|
|
/* pad and store y */
|
|
XMEMSET(buf, 0, ECC_BUFSIZE);
|
|
ret = mp_to_unsigned_bin(point->y, buf +
|
|
(numlen - (word32)mp_unsigned_bin_size(point->y)));
|
|
if (ret != MP_OKAY)
|
|
goto done;
|
|
XMEMCPY(out+1+numlen, buf, numlen);
|
|
|
|
*outLen = 1 + 2*numlen;
|
|
|
|
done:
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(buf, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
|
|
/* export point to der */
|
|
#ifdef HAVE_COMP_KEY
|
|
int wc_ecc_export_point_der_compressed(const int curve_idx, ecc_point* point,
|
|
byte* out, word32* outLen)
|
|
{
|
|
int ret = MP_OKAY;
|
|
word32 numlen;
|
|
word32 output_len;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* buf;
|
|
#else
|
|
byte buf[ECC_BUFSIZE];
|
|
#endif
|
|
|
|
if ((curve_idx < 0) || (wc_ecc_is_valid_idx(curve_idx) == 0))
|
|
return ECC_BAD_ARG_E;
|
|
|
|
numlen = (word32)ecc_sets[curve_idx].size;
|
|
output_len = 1 + numlen; /* y point type + x */
|
|
|
|
/* return length needed only */
|
|
if (point != NULL && out == NULL && outLen != NULL) {
|
|
*outLen = output_len;
|
|
return WC_NO_ERR_TRACE(LENGTH_ONLY_E);
|
|
}
|
|
|
|
if (point == NULL || out == NULL || outLen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
|
|
if (*outLen < output_len) {
|
|
*outLen = output_len;
|
|
return BUFFER_E;
|
|
}
|
|
|
|
/* Sanity check the ordinate's size. */
|
|
if ((word32)mp_unsigned_bin_size(point->x) > numlen) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* store byte point type */
|
|
out[0] = mp_isodd(point->y) == MP_YES ? ECC_POINT_COMP_ODD :
|
|
ECC_POINT_COMP_EVEN;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
buf = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (buf == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
|
|
/* pad and store x */
|
|
XMEMSET(buf, 0, ECC_BUFSIZE);
|
|
ret = mp_to_unsigned_bin(point->x, buf +
|
|
(numlen - (word32)mp_unsigned_bin_size(point->x)));
|
|
if (ret != MP_OKAY)
|
|
goto done;
|
|
XMEMCPY(out+1, buf, numlen);
|
|
|
|
*outLen = output_len;
|
|
|
|
done:
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(buf, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
#endif /* HAVE_COMP_KEY */
|
|
|
|
/* export public ECC key in ANSI X9.63 format */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_export_x963(ecc_key* key, byte* out, word32* outLen)
|
|
{
|
|
int ret = MP_OKAY;
|
|
word32 numlen;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* buf;
|
|
#else
|
|
byte buf[ECC_BUFSIZE];
|
|
#endif
|
|
word32 pubxlen, pubylen;
|
|
|
|
/* return length needed only */
|
|
if (key != NULL && out == NULL && outLen != NULL) {
|
|
/* if key hasn't been setup assume max bytes for size estimation */
|
|
numlen = key->dp ? (word32)key->dp->size : MAX_ECC_BYTES;
|
|
*outLen = 1 + 2 * numlen;
|
|
return WC_NO_ERR_TRACE(LENGTH_ONLY_E);
|
|
}
|
|
|
|
if (key == NULL || out == NULL || outLen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
if (key->type == ECC_PRIVATEKEY_ONLY)
|
|
return ECC_PRIVATEONLY_E;
|
|
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
/* check if public key in secure memory */
|
|
if (key->securePubKey > 0) {
|
|
int keySz = wc_ecc_size(key);
|
|
|
|
/* store byte point type */
|
|
out[0] = ECC_POINT_UNCOMP;
|
|
|
|
if (caamReadPartition((CAAM_ADDRESS)key->securePubKey, out+1, keySz*2) != 0)
|
|
return WC_HW_E;
|
|
|
|
*outLen = 1 + 2*keySz;
|
|
return MP_OKAY;
|
|
}
|
|
#endif
|
|
|
|
if (key->type == 0 || wc_ecc_is_valid_idx(key->idx) == 0 || key->dp == NULL){
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
numlen = (word32)key->dp->size;
|
|
|
|
/* verify room in out buffer */
|
|
if (*outLen < (1 + 2*numlen)) {
|
|
*outLen = 1 + 2*numlen;
|
|
return BUFFER_E;
|
|
}
|
|
|
|
/* verify public key length is less than key size */
|
|
pubxlen = (word32)mp_unsigned_bin_size(key->pubkey.x);
|
|
pubylen = (word32)mp_unsigned_bin_size(key->pubkey.y);
|
|
if ((pubxlen > numlen) || (pubylen > numlen)) {
|
|
WOLFSSL_MSG("Public key x/y invalid!");
|
|
return BUFFER_E;
|
|
}
|
|
|
|
/* store byte point type */
|
|
out[0] = ECC_POINT_UNCOMP;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
buf = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (buf == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
|
|
/* pad and store x */
|
|
XMEMSET(buf, 0, ECC_BUFSIZE);
|
|
ret = mp_to_unsigned_bin(key->pubkey.x, buf + (numlen - pubxlen));
|
|
if (ret != MP_OKAY)
|
|
goto done;
|
|
XMEMCPY(out+1, buf, numlen);
|
|
|
|
/* pad and store y */
|
|
XMEMSET(buf, 0, ECC_BUFSIZE);
|
|
ret = mp_to_unsigned_bin(key->pubkey.y, buf + (numlen - pubylen));
|
|
if (ret != MP_OKAY)
|
|
goto done;
|
|
XMEMCPY(out+1+numlen, buf, numlen);
|
|
|
|
*outLen = 1 + 2*numlen;
|
|
|
|
done:
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(buf, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
|
|
/* export public ECC key in ANSI X9.63 format, extended with
|
|
* compression option */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_export_x963_ex(ecc_key* key, byte* out, word32* outLen,
|
|
int compressed)
|
|
{
|
|
if (compressed == 0)
|
|
return wc_ecc_export_x963(key, out, outLen);
|
|
#ifdef HAVE_COMP_KEY
|
|
else
|
|
return wc_ecc_export_x963_compressed(key, out, outLen);
|
|
#else
|
|
return NOT_COMPILED_IN;
|
|
#endif
|
|
}
|
|
#endif /* HAVE_ECC_KEY_EXPORT */
|
|
|
|
|
|
#ifdef HAVE_ECC_CHECK_PUBKEY_ORDER
|
|
|
|
/* is ecc point on curve described by dp ? */
|
|
static int _ecc_is_point(ecc_point* ecp, mp_int* a, mp_int* b, mp_int* prime)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
int err;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* t1;
|
|
mp_int* t2;
|
|
#else
|
|
mp_int t1[1], t2[1];
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (t1 == NULL)
|
|
return MEMORY_E;
|
|
t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (t2 == NULL) {
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
if ((err = mp_init_multi(t1, t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
return err;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(err = _svr_ret;);
|
|
|
|
/* compute y^2 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(ecp->y, t1);
|
|
|
|
/* compute x^3 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqr(ecp->x, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_mod(t2, prime, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_mul(ecp->x, t2, t2);
|
|
|
|
/* compute y^2 - x^3 */
|
|
if (err == MP_OKAY)
|
|
err = mp_submod(t1, t2, prime, t1);
|
|
|
|
/* Determine if curve "a" should be used in calc */
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
if (err == MP_OKAY) {
|
|
/* Use a and prime to determine if a == 3 */
|
|
err = mp_set(t2, 0);
|
|
if (err == MP_OKAY)
|
|
err = mp_submod(prime, a, prime, t2);
|
|
}
|
|
if (err == MP_OKAY && mp_cmp_d(t2, 3) != MP_EQ) {
|
|
/* compute y^2 - x^3 + a*x */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(t2, ecp->x, prime, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_addmod(t1, t2, prime, t1);
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_CUSTOM_CURVES */
|
|
{
|
|
/* assumes "a" == 3 */
|
|
(void)a;
|
|
|
|
/* compute y^2 - x^3 + 3x */
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, ecp->x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, ecp->x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, ecp->x, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_mod(t1, prime, t1);
|
|
}
|
|
|
|
/* adjust range (0, prime) */
|
|
while (err == MP_OKAY && mp_isneg(t1)) {
|
|
err = mp_add(t1, prime, t1);
|
|
}
|
|
while (err == MP_OKAY && mp_cmp(t1, prime) != MP_LT) {
|
|
err = mp_sub(t1, prime, t1);
|
|
}
|
|
|
|
/* compare to b */
|
|
if (err == MP_OKAY) {
|
|
if (mp_cmp(t1, b) != MP_EQ) {
|
|
err = IS_POINT_E;
|
|
} else {
|
|
err = MP_OKAY;
|
|
}
|
|
}
|
|
|
|
mp_clear(t1);
|
|
mp_clear(t2);
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
return err;
|
|
#else
|
|
(void)a;
|
|
(void)b;
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(prime) == 256) && (!mp_is_bit_set(prime, 224))) {
|
|
return sp_ecc_is_point_sm2_256(ecp->x, ecp->y);
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (mp_count_bits(prime) == 256) {
|
|
return sp_ecc_is_point_256(ecp->x, ecp->y);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (mp_count_bits(prime) == 384) {
|
|
return sp_ecc_is_point_384(ecp->x, ecp->y);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (mp_count_bits(prime) == 521) {
|
|
return sp_ecc_is_point_521(ecp->x, ecp->y);
|
|
}
|
|
#endif
|
|
#else
|
|
(void)ecp;
|
|
(void)prime;
|
|
#endif
|
|
return WC_KEY_SIZE_E;
|
|
#endif
|
|
}
|
|
|
|
int wc_ecc_is_point(ecc_point* ecp, mp_int* a, mp_int* b, mp_int* prime)
|
|
{
|
|
int err = MP_OKAY;
|
|
|
|
/* Validate parameters. */
|
|
if ((ecp == NULL) || (a == NULL) || (b == NULL) || (prime == NULL)) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* x must be in the range [0, p-1] */
|
|
if ((mp_cmp(ecp->x, prime) != MP_LT) || mp_isneg(ecp->x)) {
|
|
err = ECC_OUT_OF_RANGE_E;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* y must be in the range [0, p-1] */
|
|
if ((mp_cmp(ecp->y, prime) != MP_LT) || mp_isneg(ecp->y)) {
|
|
err = ECC_OUT_OF_RANGE_E;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* z must be one, that is point must be in affine form. */
|
|
if (!mp_isone(ecp->z)) {
|
|
err = ECC_BAD_ARG_E;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Check x and y are valid for curve equation. */
|
|
err = _ecc_is_point(ecp, a, b, prime);
|
|
}
|
|
|
|
return err;
|
|
}
|
|
|
|
#if (FIPS_VERSION_GE(5,0) || defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || \
|
|
(defined(WOLFSSL_VALIDATE_ECC_IMPORT) && !defined(WOLFSSL_SP_MATH))) && \
|
|
!defined(WOLFSSL_KCAPI_ECC) || defined(WOLFSSL_CAAM)
|
|
/* validate privkey * generator == pubkey, 0 on success */
|
|
static int ecc_check_privkey_gen(ecc_key* key, mp_int* a, mp_int* prime)
|
|
{
|
|
int err;
|
|
ecc_point* base = NULL;
|
|
ecc_point* res = NULL;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_base;
|
|
ecc_point lcl_res;
|
|
#endif
|
|
DECLARE_CURVE_SPECS(3);
|
|
|
|
if (key == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
if (err != MP_OKAY) {
|
|
WOLFSSL_MSG("ALLOC_CURVE_SPECS failed");
|
|
return err;
|
|
}
|
|
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
res = &lcl_res;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&res, key->heap);
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
if (err == MP_OKAY) {
|
|
err = sp_ecc_mulmod_base_256(ecc_get_k(key), res, 1, key->heap);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
if (err == MP_OKAY) {
|
|
err = sp_ecc_mulmod_base_sm2_256(ecc_get_k(key), res, 1, key->heap);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
if (err == MP_OKAY) {
|
|
err = sp_ecc_mulmod_base_384(ecc_get_k(key), res, 1, key->heap);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
if (err == MP_OKAY) {
|
|
err = sp_ecc_mulmod_base_521(ecc_get_k(key), res, 1, key->heap);
|
|
}
|
|
}
|
|
else
|
|
#endif
|
|
#endif
|
|
{
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
base = &lcl_base;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&base, key->heap);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* load curve info */
|
|
err = wc_ecc_curve_load(key->dp, &curve, (ECC_CURVE_FIELD_GX |
|
|
ECC_CURVE_FIELD_GY | ECC_CURVE_FIELD_ORDER));
|
|
}
|
|
|
|
/* set up base generator */
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gx, base->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gy, base->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(base->z, 1);
|
|
|
|
#ifdef WOLFSSL_KCAPI_ECC
|
|
if (err == MP_OKAY) {
|
|
word32 pubkey_sz = (word32)key->dp->size*2;
|
|
if (key->handle == NULL) {
|
|
/* if handle loaded, then pubkey_raw already populated */
|
|
err = KcapiEcc_LoadKey(key, key->pubkey_raw, &pubkey_sz, 1);
|
|
}
|
|
if (err == 0) {
|
|
err = mp_read_unsigned_bin(res->x, key->pubkey_raw,
|
|
pubkey_sz/2);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_read_unsigned_bin(res->y,
|
|
key->pubkey_raw + pubkey_sz/2,
|
|
pubkey_sz/2);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
err = mp_set(res->z, 1);
|
|
}
|
|
}
|
|
(void)a;
|
|
(void)prime;
|
|
#else
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_mulmod_ex2(ecc_get_k(key), base, res, a, prime,
|
|
curve->order, key->rng, 1, key->heap);
|
|
#else
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_mulmod_ex2(ecc_get_k(key), base, res, a, prime,
|
|
curve->order, NULL, 1, key->heap);
|
|
#endif
|
|
#endif /* WOLFSSL_KCAPI_ECC */
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* compare result to public key */
|
|
if (mp_cmp(res->x, key->pubkey.x) != MP_EQ ||
|
|
mp_cmp(res->y, key->pubkey.y) != MP_EQ ||
|
|
mp_cmp(res->z, key->pubkey.z) != MP_EQ) {
|
|
/* didn't match */
|
|
err = ECC_PRIV_KEY_E;
|
|
}
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
wc_ecc_del_point_ex(res, key->heap);
|
|
wc_ecc_del_point_ex(base, key->heap);
|
|
FREE_CURVE_SPECS();
|
|
|
|
return err;
|
|
}
|
|
#endif /* FIPS_VERSION_GE(5,0) || WOLFSSL_VALIDATE_ECC_KEYGEN ||
|
|
* (!WOLFSSL_SP_MATH && WOLFSSL_VALIDATE_ECC_IMPORT) */
|
|
|
|
#if (FIPS_VERSION_GE(5,0) || defined(WOLFSSL_VALIDATE_ECC_KEYGEN)) && \
|
|
!defined(WOLFSSL_KCAPI_ECC) && defined(HAVE_ECC_DHE)
|
|
|
|
/* check privkey generator helper, creates prime needed */
|
|
static int ecc_check_privkey_gen_helper(ecc_key* key)
|
|
{
|
|
int err;
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A)
|
|
DECLARE_CURVE_SPECS(2);
|
|
#endif
|
|
|
|
if (key == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* Hardware based private key, so this operation is not supported */
|
|
err = MP_OKAY; /* just report success */
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
/* Hardware based private key, so this operation is not supported */
|
|
err = MP_OKAY; /* just report success */
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
/* Hardware based private key, so this operation is not supported */
|
|
err = MP_OKAY; /* just report success */
|
|
#else
|
|
ALLOC_CURVE_SPECS(2, err);
|
|
|
|
/* load curve info */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF));
|
|
|
|
if (err == MP_OKAY)
|
|
err = ecc_check_privkey_gen(key, curve->Af, curve->prime);
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
|
|
#endif /* WOLFSSL_ATECC508A */
|
|
|
|
return err;
|
|
}
|
|
|
|
/* Performs a Pairwise Consistency Test on an ECC key pair. */
|
|
static int _ecc_pairwise_consistency_test(ecc_key* key, WC_RNG* rng)
|
|
{
|
|
int err = 0;
|
|
word32 flags = key->flags;
|
|
|
|
/* If flags not set default to cofactor and dec/sign */
|
|
if ((flags & (WC_ECC_FLAG_COFACTOR | WC_ECC_FLAG_DEC_SIGN)) == 0) {
|
|
flags = (WC_ECC_FLAG_COFACTOR | WC_ECC_FLAG_DEC_SIGN);
|
|
}
|
|
|
|
if (flags & WC_ECC_FLAG_COFACTOR) {
|
|
err = ecc_check_privkey_gen_helper(key);
|
|
}
|
|
|
|
if (!err && (flags & WC_ECC_FLAG_DEC_SIGN)) {
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
#define SIG_SZ ((MAX_ECC_BYTES * 2) + SIG_HEADER_SZ + ECC_MAX_PAD_SZ)
|
|
byte sig[SIG_SZ + WC_SHA256_DIGEST_SIZE];
|
|
#else
|
|
byte* sig;
|
|
#endif
|
|
byte* digest;
|
|
word32 sigLen, digestLen;
|
|
int dynRng = 0, res = 0;
|
|
|
|
sigLen = (word32)wc_ecc_sig_size(key);
|
|
digestLen = WC_SHA256_DIGEST_SIZE;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
sig = (byte*)XMALLOC(sigLen + digestLen, key->heap, DYNAMIC_TYPE_ECC);
|
|
if (sig == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
digest = sig + sigLen;
|
|
|
|
if (rng == NULL) {
|
|
dynRng = 1;
|
|
rng = wc_rng_new(NULL, 0, key->heap);
|
|
if (rng == NULL) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(sig, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
return MEMORY_E;
|
|
}
|
|
}
|
|
|
|
err = wc_RNG_GenerateBlock(rng, digest, digestLen);
|
|
|
|
if (!err)
|
|
err = wc_ecc_sign_hash(digest, WC_SHA256_DIGEST_SIZE, sig, &sigLen,
|
|
rng, key);
|
|
if (!err)
|
|
err = wc_ecc_verify_hash(sig, sigLen,
|
|
digest, WC_SHA256_DIGEST_SIZE, &res, key);
|
|
|
|
if (res == 0)
|
|
err = ECC_PCT_E;
|
|
|
|
if (dynRng) {
|
|
wc_rng_free(rng);
|
|
}
|
|
ForceZero(sig, sigLen + digestLen);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(sig, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
}
|
|
(void)rng;
|
|
|
|
if (err != 0)
|
|
err = ECC_PCT_E;
|
|
|
|
return err;
|
|
}
|
|
#endif /* (FIPS v5 or later || WOLFSSL_VALIDATE_ECC_KEYGEN) && \
|
|
!WOLFSSL_KCAPI_ECC && HAVE_ECC_DHE */
|
|
|
|
#ifndef WOLFSSL_SP_MATH
|
|
/* validate order * pubkey = point at infinity, 0 on success */
|
|
static int ecc_check_pubkey_order(ecc_key* key, ecc_point* pubkey, mp_int* a,
|
|
mp_int* prime, mp_int* order)
|
|
{
|
|
ecc_point* inf = NULL;
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
ecc_point lcl_inf;
|
|
#endif
|
|
int err;
|
|
|
|
if (key == NULL)
|
|
return BAD_FUNC_ARG;
|
|
if (mp_count_bits(pubkey->x) > mp_count_bits(prime) ||
|
|
mp_count_bits(pubkey->y) > mp_count_bits(prime) ||
|
|
mp_count_bits(pubkey->z) > mp_count_bits(prime)) {
|
|
return IS_POINT_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
inf = &lcl_inf;
|
|
#endif
|
|
err = wc_ecc_new_point_ex(&inf, key->heap);
|
|
if (err == MP_OKAY) {
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
err = sp_ecc_mulmod_256(order, pubkey, inf, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
err = sp_ecc_mulmod_sm2_256(order, pubkey, inf, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
err = sp_ecc_mulmod_384(order, pubkey, inf, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->idx != ECC_CUSTOM_IDX &&
|
|
ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
err = sp_ecc_mulmod_521(order, pubkey, inf, 1, key->heap);
|
|
}
|
|
else
|
|
#endif
|
|
#endif
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
err = wc_ecc_mulmod_ex(order, pubkey, inf, a, prime, 1, key->heap);
|
|
if (err == MP_OKAY && !wc_ecc_point_is_at_infinity(inf))
|
|
err = ECC_INF_E;
|
|
#else
|
|
{
|
|
(void)a;
|
|
(void)prime;
|
|
|
|
err = WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
}
|
|
|
|
wc_ecc_del_point_ex(inf, key->heap);
|
|
|
|
return err;
|
|
}
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
#endif /* HAVE_ECC_CHECK_PUBKEY_ORDER */
|
|
|
|
|
|
#ifdef OPENSSL_EXTRA
|
|
int wc_ecc_get_generator(ecc_point* ecp, int curve_idx)
|
|
{
|
|
int err = MP_OKAY;
|
|
DECLARE_CURVE_SPECS(2);
|
|
|
|
if (!ecp || curve_idx < 0 || curve_idx > (int)(ECC_SET_COUNT-1))
|
|
return BAD_FUNC_ARG;
|
|
|
|
ALLOC_CURVE_SPECS(2, err);
|
|
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(&ecc_sets[curve_idx], &curve,
|
|
(ECC_CURVE_FIELD_GX | ECC_CURVE_FIELD_GY));
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gx, ecp->x);
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(curve->Gy, ecp->y);
|
|
if (err == MP_OKAY)
|
|
err = mp_set(ecp->z, 1);
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
|
|
return err;
|
|
}
|
|
#endif /* OPENSSL_EXTRA */
|
|
|
|
|
|
/* Validate the public key per SP 800-56Ar3 section 5.6.2.3.3,
|
|
* ECC Full Public Key Validation Routine. If the parameter
|
|
* partial is set, then it follows section 5.6.2.3.4, the ECC
|
|
* Partial Public Key Validation Routine.
|
|
* If the parameter priv is set, add in a few extra
|
|
* checks on the bounds of the private key. */
|
|
static int _ecc_validate_public_key(ecc_key* key, int partial, int priv)
|
|
{
|
|
int err = MP_OKAY;
|
|
#if defined(HAVE_ECC_CHECK_PUBKEY_ORDER) && !defined(WOLFSSL_SP_MATH)
|
|
mp_int* b = NULL;
|
|
#ifdef USE_ECC_B_PARAM
|
|
DECLARE_CURVE_SPECS(4);
|
|
#else
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
mp_int b_lcl;
|
|
#endif
|
|
DECLARE_CURVE_SPECS(3);
|
|
#endif /* USE_ECC_B_PARAM */
|
|
#endif
|
|
|
|
ASSERT_SAVED_VECTOR_REGISTERS();
|
|
|
|
if (key == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
#ifndef HAVE_ECC_CHECK_PUBKEY_ORDER
|
|
/* consider key check success on HW crypto
|
|
* ex: ATECC508/608A, CryptoCell and Silabs
|
|
*
|
|
* consider key check success on most Crypt Cb only builds
|
|
*/
|
|
err = MP_OKAY;
|
|
|
|
#else
|
|
|
|
#ifdef WOLFSSL_HAVE_SP_ECC
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
|
|
return sp_ecc_check_key_256(key->pubkey.x, key->pubkey.y,
|
|
key->type == ECC_PRIVATEKEY ? ecc_get_k(key) : NULL, key->heap);
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SM2P256V1) {
|
|
return sp_ecc_check_key_sm2_256(key->pubkey.x, key->pubkey.y,
|
|
key->type == ECC_PRIVATEKEY ? ecc_get_k(key) : NULL, key->heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP384R1) {
|
|
return sp_ecc_check_key_384(key->pubkey.x, key->pubkey.y,
|
|
key->type == ECC_PRIVATEKEY ? ecc_get_k(key) : NULL, key->heap);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP521R1) {
|
|
return sp_ecc_check_key_521(key->pubkey.x, key->pubkey.y,
|
|
key->type == ECC_PRIVATEKEY ? ecc_get_k(key) : NULL, key->heap);
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_SP_1024) && defined(WOLFCRYPT_HAVE_SAKKE)
|
|
if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SAKKE_1) {
|
|
return sp_ecc_check_key_1024(key->pubkey.x, key->pubkey.y,
|
|
key->type == ECC_PRIVATEKEY ? ecc_get_k(key) : NULL, key->heap);
|
|
}
|
|
#endif
|
|
#endif
|
|
|
|
#ifndef WOLFSSL_SP_MATH
|
|
#ifdef USE_ECC_B_PARAM
|
|
ALLOC_CURVE_SPECS(4, err);
|
|
#else
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
b = &b_lcl;
|
|
#else
|
|
b = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
|
|
if (b == NULL) {
|
|
FREE_CURVE_SPECS();
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
XMEMSET(b, 0, sizeof(mp_int));
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_CAAM
|
|
/* keys can be black encrypted ones which can not be checked like plain text
|
|
* keys */
|
|
if (key->blackKey > 0) {
|
|
/* encrypted key was used */
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(b, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_CURVE_SPECS();
|
|
return 0;
|
|
}
|
|
#endif
|
|
|
|
/* SP 800-56Ar3, section 5.6.2.3.3, process step 1 */
|
|
/* SP 800-56Ar3, section 5.6.2.3.4, process step 1 */
|
|
/* pubkey point cannot be at infinity */
|
|
if (wc_ecc_point_is_at_infinity(&key->pubkey)) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(b, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
FREE_CURVE_SPECS();
|
|
return ECC_INF_E;
|
|
}
|
|
|
|
/* load curve info */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve, (ECC_CURVE_FIELD_PRIME |
|
|
ECC_CURVE_FIELD_AF | ECC_CURVE_FIELD_ORDER
|
|
#ifdef USE_ECC_B_PARAM
|
|
| ECC_CURVE_FIELD_BF
|
|
#endif
|
|
));
|
|
|
|
#ifndef USE_ECC_B_PARAM
|
|
/* load curve b parameter */
|
|
if (err == MP_OKAY)
|
|
err = mp_init(b);
|
|
if (err == MP_OKAY)
|
|
err = mp_read_radix(b, key->dp->Bf, MP_RADIX_HEX);
|
|
#else
|
|
if (err == MP_OKAY)
|
|
b = curve->Bf;
|
|
#endif
|
|
|
|
/* SP 800-56Ar3, section 5.6.2.3.3, process step 2 */
|
|
/* SP 800-56Ar3, section 5.6.2.3.4, process step 2 */
|
|
/* Qx must be in the range [0, p-1] */
|
|
if (err == MP_OKAY) {
|
|
if ((mp_cmp(key->pubkey.x, curve->prime) != MP_LT) ||
|
|
mp_isneg(key->pubkey.x)) {
|
|
err = ECC_OUT_OF_RANGE_E;
|
|
}
|
|
}
|
|
|
|
/* Qy must be in the range [0, p-1] */
|
|
if (err == MP_OKAY) {
|
|
if ((mp_cmp(key->pubkey.y, curve->prime) != MP_LT) ||
|
|
mp_isneg(key->pubkey.y)) {
|
|
err = ECC_OUT_OF_RANGE_E;
|
|
}
|
|
}
|
|
|
|
/* SP 800-56Ar3, section 5.6.2.3.3, process step 3 */
|
|
/* SP 800-56Ar3, section 5.6.2.3.4, process step 3 */
|
|
/* make sure point is actually on curve */
|
|
if (err == MP_OKAY)
|
|
err = _ecc_is_point(&key->pubkey, curve->Af, b, curve->prime);
|
|
|
|
if (!partial) {
|
|
/* SP 800-56Ar3, section 5.6.2.3.3, process step 4 */
|
|
/* pubkey * order must be at infinity */
|
|
if (err == MP_OKAY)
|
|
err = ecc_check_pubkey_order(key, &key->pubkey, curve->Af,
|
|
curve->prime, curve->order);
|
|
}
|
|
|
|
if (priv) {
|
|
/* SP 800-56Ar3, section 5.6.2.1.2 */
|
|
/* private keys must be in the range [1, n-1] */
|
|
if ((err == MP_OKAY) && (key->type == ECC_PRIVATEKEY) &&
|
|
(mp_iszero(ecc_get_k(key)) || mp_isneg(ecc_get_k(key)) ||
|
|
(mp_cmp(ecc_get_k(key), curve->order) != MP_LT))
|
|
#ifdef WOLFSSL_KCAPI_ECC
|
|
&& key->handle == NULL
|
|
#endif
|
|
) {
|
|
err = ECC_PRIV_KEY_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_VALIDATE_ECC_IMPORT) || defined(WOLFSSL_CAAM)
|
|
/* SP 800-56Ar3, section 5.6.2.1.4, method (b) for ECC */
|
|
/* private * base generator must equal pubkey */
|
|
if (err == MP_OKAY && key->type == ECC_PRIVATEKEY)
|
|
err = ecc_check_privkey_gen(key, curve->Af, curve->prime);
|
|
#endif
|
|
}
|
|
|
|
wc_ecc_curve_free(curve);
|
|
|
|
#ifndef USE_ECC_B_PARAM
|
|
mp_clear(b);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(b, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
#endif
|
|
|
|
FREE_CURVE_SPECS();
|
|
|
|
#else
|
|
/* The single precision math curve is not available */
|
|
err = WC_KEY_SIZE_E;
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
#endif /* HAVE_ECC_CHECK_PUBKEY_ORDER */
|
|
|
|
(void)partial;
|
|
(void)priv;
|
|
return err;
|
|
}
|
|
|
|
|
|
/* perform sanity checks on ecc key validity, 0 on success */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_check_key(ecc_key* key)
|
|
{
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = _ecc_validate_public_key(key, 0, 1);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
|
|
|
|
#ifdef HAVE_ECC_KEY_IMPORT
|
|
/* import public ECC key in ANSI X9.63 format */
|
|
int wc_ecc_import_x963_ex(const byte* in, word32 inLen, ecc_key* key,
|
|
int curve_id)
|
|
{
|
|
int err = MP_OKAY;
|
|
#ifdef HAVE_COMP_KEY
|
|
int compressed = 0;
|
|
#endif
|
|
int keysize = 0;
|
|
byte pointType;
|
|
#ifdef WOLFSSL_CRYPTOCELL
|
|
const CRYS_ECPKI_Domain_t* pDomain;
|
|
CRYS_ECPKI_BUILD_TempData_t tempBuff;
|
|
#endif
|
|
if (in == NULL || key == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* must be odd */
|
|
if ((inLen & 1) == 0) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* make sure required variables are reset */
|
|
wc_ecc_reset(key);
|
|
|
|
/* init key */
|
|
#ifdef ALT_ECC_SIZE
|
|
key->pubkey.x = (mp_int*)&key->pubkey.xyz[0];
|
|
key->pubkey.y = (mp_int*)&key->pubkey.xyz[1];
|
|
key->pubkey.z = (mp_int*)&key->pubkey.xyz[2];
|
|
alt_fp_init(key->pubkey.x);
|
|
alt_fp_init(key->pubkey.y);
|
|
alt_fp_init(key->pubkey.z);
|
|
key->k = (mp_int*)key->ka;
|
|
alt_fp_init(key->k);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
key->kb = (mp_int*)key->kba;
|
|
key->ku = (mp_int*)key->kua;
|
|
alt_fp_init(key->kb);
|
|
alt_fp_init(key->ku);
|
|
#endif
|
|
#else
|
|
err = mp_init_multi(key->k, key->pubkey.x, key->pubkey.y, key->pubkey.z,
|
|
#ifndef WOLFSSL_ECC_BLIND_K
|
|
NULL, NULL
|
|
#else
|
|
key->kb, key->ku
|
|
#endif
|
|
);
|
|
#endif
|
|
if (err != MP_OKAY)
|
|
return MEMORY_E;
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
mp_forcezero(key->kb);
|
|
#endif
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
/* check for point type (4, 2, or 3) */
|
|
pointType = in[0];
|
|
if (pointType != ECC_POINT_UNCOMP && pointType != ECC_POINT_COMP_EVEN &&
|
|
pointType != ECC_POINT_COMP_ODD) {
|
|
err = ASN_PARSE_E;
|
|
}
|
|
|
|
if (pointType == ECC_POINT_COMP_EVEN || pointType == ECC_POINT_COMP_ODD) {
|
|
#ifdef HAVE_COMP_KEY
|
|
compressed = 1;
|
|
#else
|
|
err = NOT_COMPILED_IN;
|
|
#endif
|
|
}
|
|
|
|
/* adjust to skip first byte */
|
|
inLen -= 1;
|
|
in += 1;
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* For SECP256R1 only save raw public key for hardware */
|
|
if (curve_id == ECC_SECP256R1 && inLen <= (word32)sizeof(key->pubkey_raw)) {
|
|
#ifdef HAVE_COMP_KEY
|
|
if (!compressed)
|
|
#endif
|
|
XMEMCPY(key->pubkey_raw, (byte*)in, inLen);
|
|
}
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
XMEMCPY(key->pubkey_raw, (byte*)in, inLen);
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifdef HAVE_COMP_KEY
|
|
/* adjust inLen if compressed */
|
|
if (compressed)
|
|
inLen = inLen*2 + 1; /* used uncompressed len */
|
|
#endif
|
|
|
|
/* determine key size */
|
|
keysize = (int)(inLen>>1);
|
|
/* NOTE: FIPS v6.0.0 or greater, no restriction on imported keys, only
|
|
* on created keys or signatures */
|
|
err = wc_ecc_set_curve(key, keysize, curve_id);
|
|
key->type = ECC_PUBLICKEY;
|
|
}
|
|
|
|
/* read data */
|
|
if (err == MP_OKAY)
|
|
err = mp_read_unsigned_bin(key->pubkey.x, in, (word32)keysize);
|
|
|
|
#ifdef HAVE_COMP_KEY
|
|
if (err == MP_OKAY && compressed == 1) { /* build y */
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* t1 = NULL;
|
|
mp_int* t2 = NULL;
|
|
#else
|
|
mp_int t1[1], t2[1];
|
|
#endif
|
|
int did_init = 0;
|
|
|
|
DECLARE_CURVE_SPECS(3);
|
|
ALLOC_CURVE_SPECS(3, err);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if (err == MP_OKAY) {
|
|
t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_BIGINT);
|
|
if (t1 == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
}
|
|
if (err == MP_OKAY) {
|
|
t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_BIGINT);
|
|
if (t2 == NULL) {
|
|
err = MEMORY_E;
|
|
}
|
|
}
|
|
#endif
|
|
if (err == MP_OKAY) {
|
|
if (mp_init_multi(t1, t2, NULL, NULL, NULL, NULL) != MP_OKAY)
|
|
err = MEMORY_E;
|
|
else
|
|
did_init = 1;
|
|
}
|
|
|
|
/* load curve info */
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_curve_load(key->dp, &curve,
|
|
(ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF |
|
|
ECC_CURVE_FIELD_BF));
|
|
|
|
#if defined(WOLFSSL_CUSTOM_CURVES) && \
|
|
defined(WOLFSSL_VALIDATE_ECC_IMPORT)
|
|
/* validate prime is prime for custom curves */
|
|
if (err == MP_OKAY && key->idx == ECC_CUSTOM_IDX) {
|
|
int isPrime = MP_NO;
|
|
err = mp_prime_is_prime(curve->prime, 8, &isPrime);
|
|
if (err == MP_OKAY && isPrime == MP_NO)
|
|
err = MP_VAL;
|
|
}
|
|
#endif
|
|
|
|
/* compute x^3 */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqrmod(key->pubkey.x, curve->prime, t1);
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(t1, key->pubkey.x, curve->prime, t1);
|
|
|
|
/* compute x^3 + a*x */
|
|
if (err == MP_OKAY)
|
|
err = mp_mulmod(curve->Af, key->pubkey.x, curve->prime, t2);
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, t2, t1);
|
|
|
|
/* compute x^3 + a*x + b */
|
|
if (err == MP_OKAY)
|
|
err = mp_add(t1, curve->Bf, t1);
|
|
|
|
/* compute sqrt(x^3 + a*x + b) */
|
|
if (err == MP_OKAY)
|
|
err = mp_sqrtmod_prime(t1, curve->prime, t2);
|
|
|
|
/* adjust y */
|
|
if (err == MP_OKAY) {
|
|
if ((mp_isodd(t2) == MP_YES && pointType == ECC_POINT_COMP_ODD) ||
|
|
(mp_isodd(t2) == MP_NO && pointType == ECC_POINT_COMP_EVEN)) {
|
|
err = mp_mod(t2, curve->prime, t2);
|
|
}
|
|
else {
|
|
err = mp_submod(curve->prime, t2, curve->prime, t2);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = mp_copy(t2, key->pubkey.y);
|
|
}
|
|
|
|
if (did_init) {
|
|
mp_clear(t2);
|
|
mp_clear(t1);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
XFREE(t2, NULL, DYNAMIC_TYPE_BIGINT);
|
|
#endif
|
|
|
|
wc_ecc_curve_free(curve);
|
|
FREE_CURVE_SPECS();
|
|
#else
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (key->dp->id == ECC_SECP256R1) {
|
|
err = sp_ecc_uncompress_256(key->pubkey.x, pointType,
|
|
key->pubkey.y);
|
|
}
|
|
else
|
|
#endif
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if (key->dp->id == ECC_SM2P256V1) {
|
|
sp_ecc_uncompress_sm2_256(key->pubkey.x, pointType, key->pubkey.y);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (key->dp->id == ECC_SECP384R1) {
|
|
err = sp_ecc_uncompress_384(key->pubkey.x, pointType,
|
|
key->pubkey.y);
|
|
}
|
|
else
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (key->dp->id == ECC_SECP521R1) {
|
|
err = sp_ecc_uncompress_521(key->pubkey.x, pointType,
|
|
key->pubkey.y);
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
err = WC_KEY_SIZE_E;
|
|
}
|
|
#endif
|
|
}
|
|
#endif /* HAVE_COMP_KEY */
|
|
|
|
if (err == MP_OKAY) {
|
|
#ifdef HAVE_COMP_KEY
|
|
if (compressed == 0)
|
|
#endif
|
|
{
|
|
err = mp_read_unsigned_bin(key->pubkey.y, in + keysize,
|
|
(word32)keysize);
|
|
}
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = mp_set(key->pubkey.z, 1);
|
|
|
|
#ifdef WOLFSSL_CRYPTOCELL
|
|
if (err == MP_OKAY) {
|
|
pDomain = CRYS_ECPKI_GetEcDomain(cc310_mapCurve(key->dp->id));
|
|
|
|
/* create public key from external key buffer */
|
|
err = CRYS_ECPKI_BuildPublKeyFullCheck(pDomain,
|
|
(byte*)in-1, /* re-adjust */
|
|
inLen+1, /* original input */
|
|
&key->ctx.pubKey,
|
|
&tempBuff);
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECPKI_BuildPublKeyFullCheck failed");
|
|
}
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
if (err == MP_OKAY)
|
|
err = silabs_ecc_import(key, keysize, 1, 0);
|
|
#elif defined(WOLFSSL_SE050)
|
|
if (err == MP_OKAY) {
|
|
/* reset key ID, in case used before */
|
|
key->keyId = 0;
|
|
key->keyIdSet = 0;
|
|
}
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
#ifndef HAVE_COMP_KEY
|
|
if (err == MP_OKAY) {
|
|
#else
|
|
if (err == MP_OKAY && !compressed) {
|
|
#endif
|
|
buf_reverse(&key->keyRaw[0], &in[0], keysize);
|
|
buf_reverse(&key->keyRaw[keysize], &in[keysize], keysize);
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
if (err == MP_OKAY)
|
|
err = wc_ecc_check_key(key);
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_MAXQ10XX_CRYPTO
|
|
if (err == MP_OKAY) {
|
|
err = wc_MAXQ10XX_EccSetKey(key, keysize);
|
|
}
|
|
#endif
|
|
|
|
if (err != MP_OKAY) {
|
|
mp_clear(key->pubkey.x);
|
|
mp_clear(key->pubkey.y);
|
|
mp_clear(key->pubkey.z);
|
|
mp_clear(key->k);
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return err;
|
|
}
|
|
|
|
WOLFSSL_ABI
|
|
int wc_ecc_import_x963(const byte* in, word32 inLen, ecc_key* key)
|
|
{
|
|
return wc_ecc_import_x963_ex(in, inLen, key, ECC_CURVE_DEF);
|
|
}
|
|
#endif /* HAVE_ECC_KEY_IMPORT */
|
|
|
|
#ifdef HAVE_ECC_KEY_EXPORT
|
|
|
|
/* export ecc key to component form, d is optional if only exporting public
|
|
* encType is WC_TYPE_UNSIGNED_BIN or WC_TYPE_HEX_STR
|
|
* return MP_OKAY on success */
|
|
int wc_ecc_export_ex(ecc_key* key, byte* qx, word32* qxLen,
|
|
byte* qy, word32* qyLen, byte* d, word32* dLen, int encType)
|
|
{
|
|
int err = 0;
|
|
word32 keySz;
|
|
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
if (wc_ecc_is_valid_idx(key->idx) == 0 || key->dp == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
keySz = (word32)key->dp->size;
|
|
|
|
/* private key, d */
|
|
if (d != NULL) {
|
|
if (dLen == NULL ||
|
|
(key->type != ECC_PRIVATEKEY && key->type != ECC_PRIVATEKEY_ONLY))
|
|
return BAD_FUNC_ARG;
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* Hardware cannot export private portion */
|
|
return NOT_COMPILED_IN;
|
|
#else
|
|
#if defined(WOLFSSL_SECO_CAAM)
|
|
if (key->blackKey > 0 && key->devId == WOLFSSL_SECO_DEVID) {
|
|
/* Hardware cannot export private portion */
|
|
WOLFSSL_MSG("Can not export private key from HSM");
|
|
return NOT_COMPILED_IN;
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
if (key->blackKey == CAAM_BLACK_KEY_CCM) {
|
|
if (*dLen < keySz + WC_CAAM_MAC_SZ) {
|
|
*dLen = keySz + WC_CAAM_MAC_SZ;
|
|
return BUFFER_E;
|
|
}
|
|
|
|
err = wc_export_int(ecc_get_k(key), d, dLen, keySz + WC_CAAM_MAC_SZ,
|
|
encType);
|
|
*dLen = keySz + WC_CAAM_MAC_SZ;
|
|
}
|
|
else if (encType == WC_TYPE_BLACK_KEY &&
|
|
key->blackKey != CAAM_BLACK_KEY_ECB &&
|
|
key->blackKey > 0) {
|
|
if (*dLen < keySz + WC_CAAM_MAC_SZ) {
|
|
*dLen = keySz + WC_CAAM_MAC_SZ;
|
|
return BUFFER_E;
|
|
}
|
|
|
|
if (key->blackKey != CAAM_BLACK_KEY_CCM) {
|
|
if (caamReadPartition(key->blackKey, d, keySz + WC_CAAM_MAC_SZ) != 0)
|
|
return WC_HW_E;
|
|
}
|
|
|
|
*dLen = keySz + WC_CAAM_MAC_SZ;
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
err = wc_export_int(ecc_get_k(key), d, dLen, keySz, encType);
|
|
if (err != MP_OKAY)
|
|
return err;
|
|
}
|
|
#endif
|
|
}
|
|
|
|
/* public x component */
|
|
if (qx != NULL) {
|
|
if (qxLen == NULL || key->type == ECC_PRIVATEKEY_ONLY)
|
|
return BAD_FUNC_ARG;
|
|
|
|
err = wc_export_int(key->pubkey.x, qx, qxLen, keySz, encType);
|
|
if (err != MP_OKAY)
|
|
return err;
|
|
}
|
|
|
|
/* public y component */
|
|
if (qy != NULL) {
|
|
if (qyLen == NULL || key->type == ECC_PRIVATEKEY_ONLY)
|
|
return BAD_FUNC_ARG;
|
|
|
|
err = wc_export_int(key->pubkey.y, qy, qyLen, keySz, encType);
|
|
if (err != MP_OKAY)
|
|
return err;
|
|
}
|
|
|
|
return err;
|
|
}
|
|
|
|
|
|
/* export ecc private key only raw, outLen is in/out size as unsigned bin
|
|
return MP_OKAY on success */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_export_private_only(ecc_key* key, byte* out, word32* outLen)
|
|
{
|
|
if (out == NULL || outLen == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
/* check if black key in secure memory */
|
|
if ((key->blackKey != CAAM_BLACK_KEY_CCM &&
|
|
key->blackKey != CAAM_BLACK_KEY_ECB) && key->blackKey > 0) {
|
|
return wc_ecc_export_ex(key, NULL, NULL, NULL, NULL, out, outLen,
|
|
WC_TYPE_BLACK_KEY);
|
|
}
|
|
#endif
|
|
|
|
return wc_ecc_export_ex(key, NULL, NULL, NULL, NULL, out, outLen,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
|
|
/* export public key to raw elements including public (Qx,Qy) as unsigned bin
|
|
* return MP_OKAY on success, negative on error */
|
|
int wc_ecc_export_public_raw(ecc_key* key, byte* qx, word32* qxLen,
|
|
byte* qy, word32* qyLen)
|
|
{
|
|
if (qx == NULL || qxLen == NULL || qy == NULL || qyLen == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
return wc_ecc_export_ex(key, qx, qxLen, qy, qyLen, NULL, NULL,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
|
|
/* export ecc key to raw elements including public (Qx,Qy) and
|
|
* private (d) as unsigned bin
|
|
* return MP_OKAY on success, negative on error */
|
|
int wc_ecc_export_private_raw(ecc_key* key, byte* qx, word32* qxLen,
|
|
byte* qy, word32* qyLen, byte* d, word32* dLen)
|
|
{
|
|
return wc_ecc_export_ex(key, qx, qxLen, qy, qyLen, d, dLen,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
|
|
#endif /* HAVE_ECC_KEY_EXPORT */
|
|
|
|
#ifdef HAVE_ECC_KEY_IMPORT
|
|
/* import private key, public part optional if (pub) passed as NULL */
|
|
int wc_ecc_import_private_key_ex(const byte* priv, word32 privSz,
|
|
const byte* pub, word32 pubSz, ecc_key* key,
|
|
int curve_id)
|
|
{
|
|
int ret;
|
|
#ifdef WOLFSSL_CRYPTOCELL
|
|
const CRYS_ECPKI_Domain_t* pDomain;
|
|
#endif
|
|
if (key == NULL || priv == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* public optional, NULL if only importing private */
|
|
if (pub != NULL) {
|
|
#ifndef NO_ASN
|
|
word32 idx = 0;
|
|
ret = wc_ecc_import_x963_ex(pub, pubSz, key, curve_id);
|
|
if (ret < 0)
|
|
ret = wc_EccPublicKeyDecode(pub, &idx, key, pubSz);
|
|
key->type = ECC_PRIVATEKEY;
|
|
#else
|
|
(void)pubSz;
|
|
ret = NOT_COMPILED_IN;
|
|
#endif
|
|
}
|
|
else {
|
|
/* make sure required variables are reset */
|
|
wc_ecc_reset(key);
|
|
|
|
/* set key size */
|
|
/* NOTE: FIPS v6.0.0 or greater, no restriction on imported keys, only
|
|
* on created keys or signatures */
|
|
ret = wc_ecc_set_curve(key, (int)privSz, curve_id);
|
|
key->type = ECC_PRIVATEKEY_ONLY;
|
|
}
|
|
|
|
if (ret != 0)
|
|
return ret;
|
|
|
|
#ifdef WOLFSSL_CRYPTOCELL
|
|
pDomain = CRYS_ECPKI_GetEcDomain(cc310_mapCurve(key->dp->id));
|
|
/* import private key - priv checked for NULL at top */
|
|
if (priv[0] != '\0') {
|
|
|
|
/* Create private key from external key buffer*/
|
|
ret = CRYS_ECPKI_BuildPrivKey(pDomain,
|
|
priv,
|
|
privSz,
|
|
&key->ctx.privKey);
|
|
|
|
if (ret != SA_SILIB_RET_OK) {
|
|
WOLFSSL_MSG("CRYS_ECPKI_BuildPrivKey failed");
|
|
return ret;
|
|
}
|
|
|
|
ret = mp_read_unsigned_bin(key->k, priv, privSz);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (ret == MP_OKAY) {
|
|
err = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
}
|
|
#elif defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
if ((wc_ecc_size(key) + WC_CAAM_MAC_SZ) == (int)privSz) {
|
|
#ifdef WOLFSSL_CAAM_BLACK_KEY_SM
|
|
int part = caamFindUnusedPartition();
|
|
if (part >= 0) {
|
|
CAAM_ADDRESS vaddr = caamGetPartition(part, privSz*3);
|
|
if (vaddr == 0) {
|
|
WOLFSSL_MSG("Unable to get partition");
|
|
return MEMORY_E;
|
|
}
|
|
|
|
key->partNum = part;
|
|
key->blackKey = (word32)vaddr;
|
|
if (caamWriteToPartition(vaddr, priv, privSz) != 0)
|
|
return WC_HW_E;
|
|
|
|
if (pub != NULL) {
|
|
/* +1 to account for x963 compressed bit */
|
|
if (caamWriteToPartition(vaddr + privSz, pub + 1, pubSz - 1) != 0)
|
|
return WC_HW_E;
|
|
key->securePubKey = (word32)vaddr + privSz;
|
|
}
|
|
}
|
|
else {
|
|
WOLFSSL_MSG("Unable to find an unused partition");
|
|
return MEMORY_E;
|
|
}
|
|
#else
|
|
key->blackKey = CAAM_BLACK_KEY_CCM;
|
|
ret = mp_read_unsigned_bin(key->k, priv, privSz);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (ret == MP_OKAY) {
|
|
err = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
#endif
|
|
}
|
|
else {
|
|
key->blackKey = 0;
|
|
ret = mp_read_unsigned_bin(key->k, priv, privSz);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (ret == MP_OKAY) {
|
|
err = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
|
|
/* If using AES-ECB encrypted black keys check here if key is valid,
|
|
* if not valid than assume is an encrypted key. A public key is needed
|
|
* for testing validity. */
|
|
if (key->devId == WOLFSSL_CAAM_DEVID && (
|
|
wc_ecc_get_curve_id(key->idx) == ECC_SECP256R1 ||
|
|
wc_ecc_get_curve_id(key->idx) == ECC_SECP384R1)) {
|
|
if ((pub != NULL) && (ret == MP_OKAY) &&
|
|
(_ecc_validate_public_key(key, 1, 1) != MP_OKAY)) {
|
|
key->blackKey = CAAM_BLACK_KEY_ECB;
|
|
}
|
|
else if ((pub == NULL) && (ret == MP_OKAY)) {
|
|
WOLFSSL_MSG("Assuming encrypted key with no public key to check");
|
|
key->blackKey = CAAM_BLACK_KEY_ECB;
|
|
}
|
|
else {
|
|
WOLFSSL_MSG("Importing key that is not a black key!");
|
|
}
|
|
}
|
|
}
|
|
#else
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
#endif
|
|
|
|
ret = mp_read_unsigned_bin(key->k, priv, privSz);
|
|
#ifdef HAVE_WOLF_BIGINT
|
|
if (ret == 0 && wc_bigint_from_unsigned_bin(&key->k->raw, priv,
|
|
privSz) != 0) {
|
|
mp_clear(key->k);
|
|
ret = ASN_GETINT_E;
|
|
}
|
|
#endif /* HAVE_WOLF_BIGINT */
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* order = NULL;
|
|
#else
|
|
mp_int order[1];
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
order = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
|
|
if (order == NULL) {
|
|
ret = MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
if (ret == 0) {
|
|
ret = mp_init(order);
|
|
}
|
|
if (ret == 0) {
|
|
ret = mp_read_radix(order, key->dp->order, MP_RADIX_HEX);
|
|
}
|
|
#ifdef WOLFSSL_SM2
|
|
/* SM2 curve: private key must be less than order-1. */
|
|
if ((ret == 0) && (key->idx != ECC_CUSTOM_IDX) &&
|
|
(ecc_sets[key->idx].id == ECC_SM2P256V1)) {
|
|
ret = mp_sub_d(order, 1, order);
|
|
}
|
|
#endif
|
|
if ((ret == 0) && (mp_cmp(key->k, order) != MP_LT)) {
|
|
ret = ECC_PRIV_KEY_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(order, key->heap, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
}
|
|
#endif /* WOLFSSL_VALIDATE_ECC_IMPORT */
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (ret == 0) {
|
|
ret = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
|
|
#endif /* WOLFSSL_CRYPTOCELL */
|
|
|
|
#if defined(WOLFSSL_VALIDATE_ECC_IMPORT) && !defined(WOLFSSL_KCAPI_ECC)
|
|
if ((pub != NULL) && (ret == MP_OKAY))
|
|
/* public key needed to perform key validation */
|
|
ret = _ecc_validate_public_key(key, 1, 1);
|
|
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
RESTORE_VECTOR_REGISTERS();
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_MAXQ10XX_CRYPTO
|
|
if ((ret == 0) && (key->devId != INVALID_DEVID)) {
|
|
ret = wc_MAXQ10XX_EccSetKey(key, key->dp->size);
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
if (ret == 0) {
|
|
ret = silabs_ecc_import(key, key->dp->size, (pub != NULL), 1);
|
|
}
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
/* ecc private key import, public key in ANSI X9.63 format, private raw */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_import_private_key(const byte* priv, word32 privSz, const byte* pub,
|
|
word32 pubSz, ecc_key* key)
|
|
{
|
|
return wc_ecc_import_private_key_ex(priv, privSz, pub, pubSz, key,
|
|
ECC_CURVE_DEF);
|
|
}
|
|
#endif /* HAVE_ECC_KEY_IMPORT */
|
|
|
|
#ifndef NO_ASN
|
|
/**
|
|
Convert ECC R,S to signature
|
|
r R component of signature
|
|
s S component of signature
|
|
out DER-encoded ECDSA signature
|
|
outlen [in/out] output buffer size, output signature size
|
|
return MP_OKAY on success
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_rs_to_sig(const char* r, const char* s, byte* out, word32* outlen)
|
|
{
|
|
int err;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* rtmp = NULL;
|
|
mp_int* stmp = NULL;
|
|
#else
|
|
mp_int rtmp[1];
|
|
mp_int stmp[1];
|
|
#endif
|
|
|
|
if (r == NULL || s == NULL || out == NULL || outlen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
rtmp = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (rtmp == NULL)
|
|
return MEMORY_E;
|
|
stmp = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (stmp == NULL) {
|
|
XFREE(rtmp, NULL, DYNAMIC_TYPE_ECC);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
err = mp_init_multi(rtmp, stmp, NULL, NULL, NULL, NULL);
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(stmp, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(rtmp, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
return err;
|
|
}
|
|
|
|
err = mp_read_radix(rtmp, r, MP_RADIX_HEX);
|
|
if (err == MP_OKAY)
|
|
err = mp_read_radix(stmp, s, MP_RADIX_HEX);
|
|
|
|
if (err == MP_OKAY) {
|
|
if (mp_iszero(rtmp) == MP_YES || mp_iszero(stmp) == MP_YES)
|
|
err = MP_ZERO_E;
|
|
}
|
|
if (err == MP_OKAY) {
|
|
if (mp_isneg(rtmp) == MP_YES || mp_isneg(stmp) == MP_YES) {
|
|
err = MP_READ_E;
|
|
}
|
|
}
|
|
|
|
/* convert mp_ints to ECDSA sig, initializes rtmp and stmp internally */
|
|
if (err == MP_OKAY)
|
|
err = StoreECC_DSA_Sig(out, outlen, rtmp, stmp);
|
|
|
|
mp_clear(rtmp);
|
|
mp_clear(stmp);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(stmp, NULL, DYNAMIC_TYPE_ECC);
|
|
XFREE(rtmp, NULL, DYNAMIC_TYPE_ECC);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
/**
|
|
Convert ECC R,S raw unsigned bin to signature
|
|
r R component of signature
|
|
rSz R size
|
|
s S component of signature
|
|
sSz S size
|
|
out DER-encoded ECDSA signature
|
|
outlen [in/out] output buffer size, output signature size
|
|
return MP_OKAY on success
|
|
*/
|
|
int wc_ecc_rs_raw_to_sig(const byte* r, word32 rSz, const byte* s, word32 sSz,
|
|
byte* out, word32* outlen)
|
|
{
|
|
if (r == NULL || s == NULL || out == NULL || outlen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
/* convert mp_ints to ECDSA sig, initializes rtmp and stmp internally */
|
|
return StoreECC_DSA_Sig_Bin(out, outlen, r, rSz, s, sSz);
|
|
}
|
|
|
|
/**
|
|
Convert ECC signature to R,S
|
|
sig DER-encoded ECDSA signature
|
|
sigLen length of signature in octets
|
|
r R component of signature
|
|
rLen [in/out] output "r" buffer size, output "r" size
|
|
s S component of signature
|
|
sLen [in/out] output "s" buffer size, output "s" size
|
|
return MP_OKAY on success, negative on error
|
|
*/
|
|
int wc_ecc_sig_to_rs(const byte* sig, word32 sigLen, byte* r, word32* rLen,
|
|
byte* s, word32* sLen)
|
|
{
|
|
if (sig == NULL || r == NULL || rLen == NULL || s == NULL || sLen == NULL)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
return DecodeECC_DSA_Sig_Bin(sig, sigLen, r, rLen, s, sLen);
|
|
}
|
|
#endif /* !NO_ASN */
|
|
|
|
#ifdef HAVE_ECC_KEY_IMPORT
|
|
static int wc_ecc_import_raw_private(ecc_key* key, const char* qx,
|
|
const char* qy, const char* d, int curve_id, int encType)
|
|
{
|
|
int err = MP_OKAY;
|
|
#if defined(WOLFSSL_CRYPTOCELL) && !defined(WOLFSSL_ATECC508A) && \
|
|
!defined(WOLFSSL_ATECC608A)
|
|
const CRYS_ECPKI_Domain_t* pDomain;
|
|
CRYS_ECPKI_BUILD_TempData_t tempBuff;
|
|
byte keyRaw[ECC_MAX_CRYPTO_HW_SIZE*2 + 1];
|
|
#endif
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A) || \
|
|
defined(WOLFSSL_CRYPTOCELL)
|
|
word32 keySz = 0;
|
|
#endif
|
|
|
|
/* if d is NULL, only import as public key using Qx,Qy */
|
|
if (key == NULL || qx == NULL || qy == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* make sure required variables are reset */
|
|
wc_ecc_reset(key);
|
|
|
|
/* set curve type and index */
|
|
/* NOTE: FIPS v6.0.0 or greater, no restriction on imported keys, only
|
|
* on created keys or signatures */
|
|
err = wc_ecc_set_curve(key, 0, curve_id);
|
|
if (err != 0) {
|
|
return err;
|
|
}
|
|
|
|
/* init key */
|
|
#ifdef ALT_ECC_SIZE
|
|
key->pubkey.x = (mp_int*)&key->pubkey.xyz[0];
|
|
key->pubkey.y = (mp_int*)&key->pubkey.xyz[1];
|
|
key->pubkey.z = (mp_int*)&key->pubkey.xyz[2];
|
|
alt_fp_init(key->pubkey.x);
|
|
alt_fp_init(key->pubkey.y);
|
|
alt_fp_init(key->pubkey.z);
|
|
key->k = (mp_int*)key->ka;
|
|
alt_fp_init(key->k);
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
key->kb = (mp_int*)key->kba;
|
|
key->ku = (mp_int*)key->kua;
|
|
alt_fp_init(key->kb);
|
|
alt_fp_init(key->ku);
|
|
#endif
|
|
#else
|
|
err = mp_init_multi(key->k, key->pubkey.x, key->pubkey.y, key->pubkey.z,
|
|
#ifndef WOLFSSL_ECC_BLIND_K
|
|
NULL, NULL
|
|
#else
|
|
key->kb, key->ku
|
|
#endif
|
|
);
|
|
#endif
|
|
if (err != MP_OKAY)
|
|
return MEMORY_E;
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
mp_forcezero(key->kb);
|
|
#endif
|
|
|
|
/* read Qx */
|
|
if (err == MP_OKAY) {
|
|
if (encType == WC_TYPE_HEX_STR)
|
|
err = mp_read_radix(key->pubkey.x, qx, MP_RADIX_HEX);
|
|
else
|
|
err = mp_read_unsigned_bin(key->pubkey.x, (const byte*)qx,
|
|
(word32)key->dp->size);
|
|
|
|
if (mp_isneg(key->pubkey.x)) {
|
|
WOLFSSL_MSG("Invalid Qx");
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
if (mp_unsigned_bin_size(key->pubkey.x) > key->dp->size) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
}
|
|
|
|
/* read Qy */
|
|
if (err == MP_OKAY) {
|
|
if (encType == WC_TYPE_HEX_STR)
|
|
err = mp_read_radix(key->pubkey.y, qy, MP_RADIX_HEX);
|
|
else
|
|
err = mp_read_unsigned_bin(key->pubkey.y, (const byte*)qy,
|
|
(word32)key->dp->size);
|
|
|
|
if (mp_isneg(key->pubkey.y)) {
|
|
WOLFSSL_MSG("Invalid Qy");
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
if (mp_unsigned_bin_size(key->pubkey.y) > key->dp->size) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
if (mp_iszero(key->pubkey.x) && mp_iszero(key->pubkey.y)) {
|
|
WOLFSSL_MSG("Invalid Qx and Qy");
|
|
err = ECC_INF_E;
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
err = mp_set(key->pubkey.z, 1);
|
|
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* For SECP256R1 only save raw public key for hardware */
|
|
if (err == MP_OKAY && curve_id == ECC_SECP256R1) {
|
|
keySz = key->dp->size;
|
|
err = wc_export_int(key->pubkey.x, key->pubkey_raw,
|
|
&keySz, keySz, WC_TYPE_UNSIGNED_BIN);
|
|
if (err == MP_OKAY)
|
|
err = wc_export_int(key->pubkey.y, &key->pubkey_raw[keySz],
|
|
&keySz, keySz, WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
if (err == MP_OKAY) {
|
|
keyRaw[0] = ECC_POINT_UNCOMP;
|
|
keySz = (word32)key->dp->size;
|
|
err = wc_export_int(key->pubkey.x, &keyRaw[1], &keySz, keySz,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
if (err == MP_OKAY) {
|
|
err = wc_export_int(key->pubkey.y, &keyRaw[1+keySz],
|
|
&keySz, keySz, WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
pDomain = CRYS_ECPKI_GetEcDomain(cc310_mapCurve(key->dp->id));
|
|
|
|
/* create public key from external key buffer */
|
|
err = CRYS_ECPKI_BuildPublKeyFullCheck(pDomain,
|
|
keyRaw,
|
|
keySz*2 + 1,
|
|
&key->ctx.pubKey,
|
|
&tempBuff);
|
|
}
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECPKI_BuildPublKeyFullCheck failed");
|
|
return err;
|
|
}
|
|
}
|
|
#elif defined(WOLFSSL_KCAPI_ECC)
|
|
if (err == MP_OKAY) {
|
|
word32 keySz = key->dp->size;
|
|
err = wc_export_int(key->pubkey.x, key->pubkey_raw,
|
|
&keySz, keySz, WC_TYPE_UNSIGNED_BIN);
|
|
if (err == MP_OKAY) {
|
|
err = wc_export_int(key->pubkey.y,
|
|
&key->pubkey_raw[keySz], &keySz, keySz,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
}
|
|
#elif defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
if (err == MP_OKAY) {
|
|
const word32 keySize = key->dp->size;
|
|
word32 bufSize = sizeof(key->keyRaw);
|
|
err = wc_export_int(key->pubkey.x, key->keyRaw, &bufSize, keySize,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
if (err == MP_OKAY) {
|
|
const word32 offset = bufSize;
|
|
bufSize = sizeof(key->keyRaw) - offset;
|
|
err = wc_export_int(key->pubkey.y, &key->keyRaw[offset], &bufSize,
|
|
keySize, WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
if (err == MP_OKAY) {
|
|
mp_reverse(key->keyRaw, keySize);
|
|
mp_reverse(&key->keyRaw[keySize], keySize);
|
|
WOLFSSL_XIL_DCACHE_FLUSH_RANGE(XIL_CAST_U64(key->keyRaw),
|
|
keySize * 2);
|
|
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
|
|
err = XSecure_EllipticValidateKey(&(key->xSec.cinst),
|
|
xil_curve_type[key->dp->id],
|
|
XIL_CAST_U64(key->keyRaw));
|
|
if (err) {
|
|
WOLFSSL_XIL_ERROR("Validation of ECC key failed", err);
|
|
err = WC_HW_E;
|
|
}
|
|
#endif
|
|
}
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
#endif
|
|
|
|
/* import private key */
|
|
if (err == MP_OKAY) {
|
|
if (d != NULL) {
|
|
#if defined(WOLFSSL_ATECC508A) || defined(WOLFSSL_ATECC608A)
|
|
/* Hardware doesn't support loading private key */
|
|
err = NOT_COMPILED_IN;
|
|
|
|
#elif defined(WOLFSSL_CRYPTOCELL)
|
|
key->type = ECC_PRIVATEKEY;
|
|
|
|
if (encType == WC_TYPE_HEX_STR)
|
|
err = mp_read_radix(key->k, d, MP_RADIX_HEX);
|
|
else
|
|
err = mp_read_unsigned_bin(key->k, (const byte*)d,
|
|
key->dp->size);
|
|
if (err == MP_OKAY) {
|
|
err = wc_export_int(key->k, &keyRaw[0], &keySz, keySz,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (err == 0) {
|
|
err = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
/* Create private key from external key buffer*/
|
|
err = CRYS_ECPKI_BuildPrivKey(pDomain,
|
|
keyRaw,
|
|
keySz,
|
|
&key->ctx.privKey);
|
|
|
|
if (err != SA_SILIB_RET_OK){
|
|
WOLFSSL_MSG("CRYS_ECPKI_BuildPrivKey failed");
|
|
return err;
|
|
}
|
|
}
|
|
|
|
#else
|
|
key->type = ECC_PRIVATEKEY;
|
|
if (encType == WC_TYPE_HEX_STR)
|
|
err = mp_read_radix(key->k, d, MP_RADIX_HEX);
|
|
else {
|
|
#if defined(WOLFSSL_QNX_CAAM) || defined(WOLFSSL_IMXRT1170_CAAM)
|
|
if (key->blackKey == CAAM_BLACK_KEY_CCM) {
|
|
err = mp_read_unsigned_bin(key->k, (const byte*)d,
|
|
key->dp->size + WC_CAAM_MAC_SZ);
|
|
}
|
|
else
|
|
#endif /* WOLFSSL_QNX_CAAM */
|
|
{
|
|
err = mp_read_unsigned_bin(key->k, (const byte*)d,
|
|
(word32)key->dp->size);
|
|
}
|
|
}
|
|
#ifdef WOLFSSL_ECC_BLIND_K
|
|
if (err == 0) {
|
|
err = ecc_blind_k_rng(key, NULL);
|
|
}
|
|
#endif
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
if (err == MP_OKAY) {
|
|
const word32 key_size = key->dp->size;
|
|
word32 buf_size = key_size;
|
|
err = wc_export_int(key, key->privKey, &buf_size, key_size,
|
|
WC_TYPE_UNSIGNED_BIN);
|
|
mp_reverse(key->privKey, key_size);
|
|
}
|
|
#endif
|
|
|
|
#endif /* #else-case of custom HW-specific implementations */
|
|
if (mp_iszero(key->k) || mp_isneg(key->k)) {
|
|
WOLFSSL_MSG("Invalid private key");
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
} else {
|
|
key->type = ECC_PUBLICKEY;
|
|
}
|
|
}
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
if (err == MP_OKAY) {
|
|
err = wc_ecc_check_key(key);
|
|
if (err == WC_NO_ERR_TRACE(IS_POINT_E) && (mp_iszero(key->pubkey.x) ||
|
|
mp_iszero(key->pubkey.y))) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
|
|
RESTORE_VECTOR_REGISTERS();
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_MAXQ10XX_CRYPTO
|
|
if (err == MP_OKAY) {
|
|
err = wc_MAXQ10XX_EccSetKey(key, key->dp->size);
|
|
}
|
|
#elif defined(WOLFSSL_SILABS_SE_ACCEL)
|
|
if (err == MP_OKAY) {
|
|
err = silabs_ecc_import(key, key->dp->size, 1, (d != NULL));
|
|
}
|
|
#endif
|
|
|
|
if (err != MP_OKAY) {
|
|
mp_clear(key->pubkey.x);
|
|
mp_clear(key->pubkey.y);
|
|
mp_clear(key->pubkey.z);
|
|
mp_clear(key->k);
|
|
#if defined(WOLFSSL_XILINX_CRYPT_VERSAL)
|
|
ForceZero(key->keyRaw, sizeof(key->keyRaw));
|
|
#endif
|
|
}
|
|
|
|
return err;
|
|
}
|
|
|
|
/**
|
|
Import raw ECC key
|
|
key The destination ecc_key structure
|
|
qx x component of the public key, as ASCII hex string
|
|
qy y component of the public key, as ASCII hex string
|
|
d private key, as ASCII hex string, optional if importing public
|
|
key only
|
|
dp Custom ecc_set_type
|
|
return MP_OKAY on success
|
|
*/
|
|
int wc_ecc_import_raw_ex(ecc_key* key, const char* qx, const char* qy,
|
|
const char* d, int curve_id)
|
|
{
|
|
return wc_ecc_import_raw_private(key, qx, qy, d, curve_id,
|
|
WC_TYPE_HEX_STR);
|
|
|
|
}
|
|
|
|
/* Import x, y and optional private (d) as unsigned binary */
|
|
int wc_ecc_import_unsigned(ecc_key* key, const byte* qx, const byte* qy,
|
|
const byte* d, int curve_id)
|
|
{
|
|
return wc_ecc_import_raw_private(key, (const char*)qx, (const char*)qy,
|
|
(const char*)d, curve_id, WC_TYPE_UNSIGNED_BIN);
|
|
}
|
|
|
|
/**
|
|
Import raw ECC key
|
|
key The destination ecc_key structure
|
|
qx x component of the public key, as ASCII hex string
|
|
qy y component of the public key, as ASCII hex string
|
|
d private key, as ASCII hex string, optional if importing public
|
|
key only
|
|
curveName ECC curve name, from ecc_sets[]
|
|
return MP_OKAY on success
|
|
*/
|
|
WOLFSSL_ABI
|
|
int wc_ecc_import_raw(ecc_key* key, const char* qx, const char* qy,
|
|
const char* d, const char* curveName)
|
|
{
|
|
int err, x;
|
|
|
|
/* if d is NULL, only import as public key using Qx,Qy */
|
|
if (key == NULL || qx == NULL || qy == NULL || curveName == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
/* set curve type and index */
|
|
for (x = 0; ecc_sets[x].size != 0; x++) {
|
|
if (XSTRNCMP(ecc_sets[x].name, curveName,
|
|
XSTRLEN(curveName)) == 0) {
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ecc_sets[x].size == 0) {
|
|
WOLFSSL_MSG("ecc_set curve name not found");
|
|
err = ASN_PARSE_E;
|
|
} else {
|
|
return wc_ecc_import_raw_private(key, qx, qy, d, ecc_sets[x].id,
|
|
WC_TYPE_HEX_STR);
|
|
}
|
|
|
|
return err;
|
|
}
|
|
#endif /* HAVE_ECC_KEY_IMPORT */
|
|
|
|
#if defined(HAVE_ECC_ENCRYPT) && !defined(WOLFSSL_ECIES_OLD)
|
|
/* public key size in octets */
|
|
static int ecc_public_key_size(ecc_key* key, word32* sz)
|
|
{
|
|
if (key == NULL || key->dp == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* 'Uncompressed' | x | y */
|
|
*sz = 1 + 2 * (word32)key->dp->size;
|
|
|
|
return 0;
|
|
}
|
|
#endif
|
|
|
|
/* key size in octets */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_size(ecc_key* key)
|
|
{
|
|
if (key == NULL || key->dp == NULL)
|
|
return 0;
|
|
|
|
return key->dp->size;
|
|
}
|
|
|
|
/* maximum signature size based on key size */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_sig_size_calc(int sz)
|
|
{
|
|
int maxSigSz = 0;
|
|
|
|
/* calculate based on key bits */
|
|
/* maximum possible signature header size is 7 bytes plus 2 bytes padding */
|
|
maxSigSz = (sz * 2) + SIG_HEADER_SZ + ECC_MAX_PAD_SZ;
|
|
|
|
/* if total length is less than 128 + SEQ(1)+LEN(1) then subtract 1 */
|
|
if (maxSigSz < (128 + 2)) {
|
|
maxSigSz -= 1;
|
|
}
|
|
|
|
return maxSigSz;
|
|
}
|
|
|
|
/* maximum signature size based on actual key curve */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_sig_size(const ecc_key* key)
|
|
{
|
|
int maxSigSz;
|
|
int orderBits, keySz;
|
|
|
|
if (key == NULL || key->dp == NULL)
|
|
return 0;
|
|
|
|
/* the signature r and s will always be less than order */
|
|
/* if the order MSB (top bit of byte) is set then ASN encoding needs
|
|
extra byte for r and s, so add 2 */
|
|
keySz = key->dp->size;
|
|
orderBits = wc_ecc_get_curve_order_bit_count(key->dp);
|
|
if (orderBits > keySz * 8) {
|
|
keySz = (orderBits + 7) / 8;
|
|
}
|
|
/* maximum possible signature header size is 7 bytes */
|
|
maxSigSz = (keySz * 2) + SIG_HEADER_SZ;
|
|
if ((orderBits % 8) == 0) {
|
|
/* MSB can be set, so add 2 */
|
|
maxSigSz += ECC_MAX_PAD_SZ;
|
|
}
|
|
/* if total length is less than 128 + SEQ(1)+LEN(1) then subtract 1 */
|
|
if (maxSigSz < (128 + 2)) {
|
|
maxSigSz -= 1;
|
|
}
|
|
|
|
return maxSigSz;
|
|
}
|
|
|
|
|
|
#ifdef FP_ECC
|
|
|
|
/* fixed point ECC cache */
|
|
/* number of entries in the cache */
|
|
#ifndef FP_ENTRIES
|
|
#define FP_ENTRIES 15
|
|
#endif
|
|
|
|
/* number of bits in LUT */
|
|
#ifndef FP_LUT
|
|
#define FP_LUT 8U
|
|
#endif
|
|
|
|
#ifdef ECC_SHAMIR
|
|
/* Sharmir requires a bigger LUT, TAO */
|
|
#if (FP_LUT > 12) || (FP_LUT < 4)
|
|
#error FP_LUT must be between 4 and 12 inclusively
|
|
#endif
|
|
#else
|
|
#if (FP_LUT > 12) || (FP_LUT < 2)
|
|
#error FP_LUT must be between 2 and 12 inclusively
|
|
#endif
|
|
#endif
|
|
|
|
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
|
|
/** Our FP cache */
|
|
typedef struct {
|
|
ecc_point* g; /* cached COPY of base point */
|
|
ecc_point* LUT[1U<<FP_LUT]; /* fixed point lookup */
|
|
int LUT_set; /* flag to determine if the LUT has been computed */
|
|
mp_int mu; /* copy of the montgomery constant */
|
|
int lru_count; /* amount of times this entry has been used */
|
|
int lock; /* flag to indicate cache eviction */
|
|
/* permitted (0) or not (1) */
|
|
} fp_cache_t;
|
|
|
|
/* if HAVE_THREAD_LS this cache is per thread, no locking needed */
|
|
static THREAD_LS_T fp_cache_t fp_cache[FP_ENTRIES];
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
static wolfSSL_Mutex ecc_fp_lock WOLFSSL_MUTEX_INITIALIZER_CLAUSE(ecc_fp_lock);
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
static volatile int initMutex = 0; /* prevent multiple mutex inits */
|
|
#endif
|
|
#endif /* HAVE_THREAD_LS */
|
|
|
|
/* simple table to help direct the generation of the LUT */
|
|
static const struct {
|
|
int ham, terma, termb;
|
|
} lut_orders[] = {
|
|
{ 0, 0, 0 }, { 1, 0, 0 }, { 1, 0, 0 }, { 2, 1, 2 }, { 1, 0, 0 }, { 2, 1, 4 }, { 2, 2, 4 }, { 3, 3, 4 },
|
|
{ 1, 0, 0 }, { 2, 1, 8 }, { 2, 2, 8 }, { 3, 3, 8 }, { 2, 4, 8 }, { 3, 5, 8 }, { 3, 6, 8 }, { 4, 7, 8 },
|
|
{ 1, 0, 0 }, { 2, 1, 16 }, { 2, 2, 16 }, { 3, 3, 16 }, { 2, 4, 16 }, { 3, 5, 16 }, { 3, 6, 16 }, { 4, 7, 16 },
|
|
{ 2, 8, 16 }, { 3, 9, 16 }, { 3, 10, 16 }, { 4, 11, 16 }, { 3, 12, 16 }, { 4, 13, 16 }, { 4, 14, 16 }, { 5, 15, 16 },
|
|
{ 1, 0, 0 }, { 2, 1, 32 }, { 2, 2, 32 }, { 3, 3, 32 }, { 2, 4, 32 }, { 3, 5, 32 }, { 3, 6, 32 }, { 4, 7, 32 },
|
|
{ 2, 8, 32 }, { 3, 9, 32 }, { 3, 10, 32 }, { 4, 11, 32 }, { 3, 12, 32 }, { 4, 13, 32 }, { 4, 14, 32 }, { 5, 15, 32 },
|
|
{ 2, 16, 32 }, { 3, 17, 32 }, { 3, 18, 32 }, { 4, 19, 32 }, { 3, 20, 32 }, { 4, 21, 32 }, { 4, 22, 32 }, { 5, 23, 32 },
|
|
{ 3, 24, 32 }, { 4, 25, 32 }, { 4, 26, 32 }, { 5, 27, 32 }, { 4, 28, 32 }, { 5, 29, 32 }, { 5, 30, 32 }, { 6, 31, 32 },
|
|
#if FP_LUT > 6
|
|
{ 1, 0, 0 }, { 2, 1, 64 }, { 2, 2, 64 }, { 3, 3, 64 }, { 2, 4, 64 }, { 3, 5, 64 }, { 3, 6, 64 }, { 4, 7, 64 },
|
|
{ 2, 8, 64 }, { 3, 9, 64 }, { 3, 10, 64 }, { 4, 11, 64 }, { 3, 12, 64 }, { 4, 13, 64 }, { 4, 14, 64 }, { 5, 15, 64 },
|
|
{ 2, 16, 64 }, { 3, 17, 64 }, { 3, 18, 64 }, { 4, 19, 64 }, { 3, 20, 64 }, { 4, 21, 64 }, { 4, 22, 64 }, { 5, 23, 64 },
|
|
{ 3, 24, 64 }, { 4, 25, 64 }, { 4, 26, 64 }, { 5, 27, 64 }, { 4, 28, 64 }, { 5, 29, 64 }, { 5, 30, 64 }, { 6, 31, 64 },
|
|
{ 2, 32, 64 }, { 3, 33, 64 }, { 3, 34, 64 }, { 4, 35, 64 }, { 3, 36, 64 }, { 4, 37, 64 }, { 4, 38, 64 }, { 5, 39, 64 },
|
|
{ 3, 40, 64 }, { 4, 41, 64 }, { 4, 42, 64 }, { 5, 43, 64 }, { 4, 44, 64 }, { 5, 45, 64 }, { 5, 46, 64 }, { 6, 47, 64 },
|
|
{ 3, 48, 64 }, { 4, 49, 64 }, { 4, 50, 64 }, { 5, 51, 64 }, { 4, 52, 64 }, { 5, 53, 64 }, { 5, 54, 64 }, { 6, 55, 64 },
|
|
{ 4, 56, 64 }, { 5, 57, 64 }, { 5, 58, 64 }, { 6, 59, 64 }, { 5, 60, 64 }, { 6, 61, 64 }, { 6, 62, 64 }, { 7, 63, 64 },
|
|
#if FP_LUT > 7
|
|
{ 1, 0, 0 }, { 2, 1, 128 }, { 2, 2, 128 }, { 3, 3, 128 }, { 2, 4, 128 }, { 3, 5, 128 }, { 3, 6, 128 }, { 4, 7, 128 },
|
|
{ 2, 8, 128 }, { 3, 9, 128 }, { 3, 10, 128 }, { 4, 11, 128 }, { 3, 12, 128 }, { 4, 13, 128 }, { 4, 14, 128 }, { 5, 15, 128 },
|
|
{ 2, 16, 128 }, { 3, 17, 128 }, { 3, 18, 128 }, { 4, 19, 128 }, { 3, 20, 128 }, { 4, 21, 128 }, { 4, 22, 128 }, { 5, 23, 128 },
|
|
{ 3, 24, 128 }, { 4, 25, 128 }, { 4, 26, 128 }, { 5, 27, 128 }, { 4, 28, 128 }, { 5, 29, 128 }, { 5, 30, 128 }, { 6, 31, 128 },
|
|
{ 2, 32, 128 }, { 3, 33, 128 }, { 3, 34, 128 }, { 4, 35, 128 }, { 3, 36, 128 }, { 4, 37, 128 }, { 4, 38, 128 }, { 5, 39, 128 },
|
|
{ 3, 40, 128 }, { 4, 41, 128 }, { 4, 42, 128 }, { 5, 43, 128 }, { 4, 44, 128 }, { 5, 45, 128 }, { 5, 46, 128 }, { 6, 47, 128 },
|
|
{ 3, 48, 128 }, { 4, 49, 128 }, { 4, 50, 128 }, { 5, 51, 128 }, { 4, 52, 128 }, { 5, 53, 128 }, { 5, 54, 128 }, { 6, 55, 128 },
|
|
{ 4, 56, 128 }, { 5, 57, 128 }, { 5, 58, 128 }, { 6, 59, 128 }, { 5, 60, 128 }, { 6, 61, 128 }, { 6, 62, 128 }, { 7, 63, 128 },
|
|
{ 2, 64, 128 }, { 3, 65, 128 }, { 3, 66, 128 }, { 4, 67, 128 }, { 3, 68, 128 }, { 4, 69, 128 }, { 4, 70, 128 }, { 5, 71, 128 },
|
|
{ 3, 72, 128 }, { 4, 73, 128 }, { 4, 74, 128 }, { 5, 75, 128 }, { 4, 76, 128 }, { 5, 77, 128 }, { 5, 78, 128 }, { 6, 79, 128 },
|
|
{ 3, 80, 128 }, { 4, 81, 128 }, { 4, 82, 128 }, { 5, 83, 128 }, { 4, 84, 128 }, { 5, 85, 128 }, { 5, 86, 128 }, { 6, 87, 128 },
|
|
{ 4, 88, 128 }, { 5, 89, 128 }, { 5, 90, 128 }, { 6, 91, 128 }, { 5, 92, 128 }, { 6, 93, 128 }, { 6, 94, 128 }, { 7, 95, 128 },
|
|
{ 3, 96, 128 }, { 4, 97, 128 }, { 4, 98, 128 }, { 5, 99, 128 }, { 4, 100, 128 }, { 5, 101, 128 }, { 5, 102, 128 }, { 6, 103, 128 },
|
|
{ 4, 104, 128 }, { 5, 105, 128 }, { 5, 106, 128 }, { 6, 107, 128 }, { 5, 108, 128 }, { 6, 109, 128 }, { 6, 110, 128 }, { 7, 111, 128 },
|
|
{ 4, 112, 128 }, { 5, 113, 128 }, { 5, 114, 128 }, { 6, 115, 128 }, { 5, 116, 128 }, { 6, 117, 128 }, { 6, 118, 128 }, { 7, 119, 128 },
|
|
{ 5, 120, 128 }, { 6, 121, 128 }, { 6, 122, 128 }, { 7, 123, 128 }, { 6, 124, 128 }, { 7, 125, 128 }, { 7, 126, 128 }, { 8, 127, 128 },
|
|
#if FP_LUT > 8
|
|
{ 1, 0, 0 }, { 2, 1, 256 }, { 2, 2, 256 }, { 3, 3, 256 }, { 2, 4, 256 }, { 3, 5, 256 }, { 3, 6, 256 }, { 4, 7, 256 },
|
|
{ 2, 8, 256 }, { 3, 9, 256 }, { 3, 10, 256 }, { 4, 11, 256 }, { 3, 12, 256 }, { 4, 13, 256 }, { 4, 14, 256 }, { 5, 15, 256 },
|
|
{ 2, 16, 256 }, { 3, 17, 256 }, { 3, 18, 256 }, { 4, 19, 256 }, { 3, 20, 256 }, { 4, 21, 256 }, { 4, 22, 256 }, { 5, 23, 256 },
|
|
{ 3, 24, 256 }, { 4, 25, 256 }, { 4, 26, 256 }, { 5, 27, 256 }, { 4, 28, 256 }, { 5, 29, 256 }, { 5, 30, 256 }, { 6, 31, 256 },
|
|
{ 2, 32, 256 }, { 3, 33, 256 }, { 3, 34, 256 }, { 4, 35, 256 }, { 3, 36, 256 }, { 4, 37, 256 }, { 4, 38, 256 }, { 5, 39, 256 },
|
|
{ 3, 40, 256 }, { 4, 41, 256 }, { 4, 42, 256 }, { 5, 43, 256 }, { 4, 44, 256 }, { 5, 45, 256 }, { 5, 46, 256 }, { 6, 47, 256 },
|
|
{ 3, 48, 256 }, { 4, 49, 256 }, { 4, 50, 256 }, { 5, 51, 256 }, { 4, 52, 256 }, { 5, 53, 256 }, { 5, 54, 256 }, { 6, 55, 256 },
|
|
{ 4, 56, 256 }, { 5, 57, 256 }, { 5, 58, 256 }, { 6, 59, 256 }, { 5, 60, 256 }, { 6, 61, 256 }, { 6, 62, 256 }, { 7, 63, 256 },
|
|
{ 2, 64, 256 }, { 3, 65, 256 }, { 3, 66, 256 }, { 4, 67, 256 }, { 3, 68, 256 }, { 4, 69, 256 }, { 4, 70, 256 }, { 5, 71, 256 },
|
|
{ 3, 72, 256 }, { 4, 73, 256 }, { 4, 74, 256 }, { 5, 75, 256 }, { 4, 76, 256 }, { 5, 77, 256 }, { 5, 78, 256 }, { 6, 79, 256 },
|
|
{ 3, 80, 256 }, { 4, 81, 256 }, { 4, 82, 256 }, { 5, 83, 256 }, { 4, 84, 256 }, { 5, 85, 256 }, { 5, 86, 256 }, { 6, 87, 256 },
|
|
{ 4, 88, 256 }, { 5, 89, 256 }, { 5, 90, 256 }, { 6, 91, 256 }, { 5, 92, 256 }, { 6, 93, 256 }, { 6, 94, 256 }, { 7, 95, 256 },
|
|
{ 3, 96, 256 }, { 4, 97, 256 }, { 4, 98, 256 }, { 5, 99, 256 }, { 4, 100, 256 }, { 5, 101, 256 }, { 5, 102, 256 }, { 6, 103, 256 },
|
|
{ 4, 104, 256 }, { 5, 105, 256 }, { 5, 106, 256 }, { 6, 107, 256 }, { 5, 108, 256 }, { 6, 109, 256 }, { 6, 110, 256 }, { 7, 111, 256 },
|
|
{ 4, 112, 256 }, { 5, 113, 256 }, { 5, 114, 256 }, { 6, 115, 256 }, { 5, 116, 256 }, { 6, 117, 256 }, { 6, 118, 256 }, { 7, 119, 256 },
|
|
{ 5, 120, 256 }, { 6, 121, 256 }, { 6, 122, 256 }, { 7, 123, 256 }, { 6, 124, 256 }, { 7, 125, 256 }, { 7, 126, 256 }, { 8, 127, 256 },
|
|
{ 2, 128, 256 }, { 3, 129, 256 }, { 3, 130, 256 }, { 4, 131, 256 }, { 3, 132, 256 }, { 4, 133, 256 }, { 4, 134, 256 }, { 5, 135, 256 },
|
|
{ 3, 136, 256 }, { 4, 137, 256 }, { 4, 138, 256 }, { 5, 139, 256 }, { 4, 140, 256 }, { 5, 141, 256 }, { 5, 142, 256 }, { 6, 143, 256 },
|
|
{ 3, 144, 256 }, { 4, 145, 256 }, { 4, 146, 256 }, { 5, 147, 256 }, { 4, 148, 256 }, { 5, 149, 256 }, { 5, 150, 256 }, { 6, 151, 256 },
|
|
{ 4, 152, 256 }, { 5, 153, 256 }, { 5, 154, 256 }, { 6, 155, 256 }, { 5, 156, 256 }, { 6, 157, 256 }, { 6, 158, 256 }, { 7, 159, 256 },
|
|
{ 3, 160, 256 }, { 4, 161, 256 }, { 4, 162, 256 }, { 5, 163, 256 }, { 4, 164, 256 }, { 5, 165, 256 }, { 5, 166, 256 }, { 6, 167, 256 },
|
|
{ 4, 168, 256 }, { 5, 169, 256 }, { 5, 170, 256 }, { 6, 171, 256 }, { 5, 172, 256 }, { 6, 173, 256 }, { 6, 174, 256 }, { 7, 175, 256 },
|
|
{ 4, 176, 256 }, { 5, 177, 256 }, { 5, 178, 256 }, { 6, 179, 256 }, { 5, 180, 256 }, { 6, 181, 256 }, { 6, 182, 256 }, { 7, 183, 256 },
|
|
{ 5, 184, 256 }, { 6, 185, 256 }, { 6, 186, 256 }, { 7, 187, 256 }, { 6, 188, 256 }, { 7, 189, 256 }, { 7, 190, 256 }, { 8, 191, 256 },
|
|
{ 3, 192, 256 }, { 4, 193, 256 }, { 4, 194, 256 }, { 5, 195, 256 }, { 4, 196, 256 }, { 5, 197, 256 }, { 5, 198, 256 }, { 6, 199, 256 },
|
|
{ 4, 200, 256 }, { 5, 201, 256 }, { 5, 202, 256 }, { 6, 203, 256 }, { 5, 204, 256 }, { 6, 205, 256 }, { 6, 206, 256 }, { 7, 207, 256 },
|
|
{ 4, 208, 256 }, { 5, 209, 256 }, { 5, 210, 256 }, { 6, 211, 256 }, { 5, 212, 256 }, { 6, 213, 256 }, { 6, 214, 256 }, { 7, 215, 256 },
|
|
{ 5, 216, 256 }, { 6, 217, 256 }, { 6, 218, 256 }, { 7, 219, 256 }, { 6, 220, 256 }, { 7, 221, 256 }, { 7, 222, 256 }, { 8, 223, 256 },
|
|
{ 4, 224, 256 }, { 5, 225, 256 }, { 5, 226, 256 }, { 6, 227, 256 }, { 5, 228, 256 }, { 6, 229, 256 }, { 6, 230, 256 }, { 7, 231, 256 },
|
|
{ 5, 232, 256 }, { 6, 233, 256 }, { 6, 234, 256 }, { 7, 235, 256 }, { 6, 236, 256 }, { 7, 237, 256 }, { 7, 238, 256 }, { 8, 239, 256 },
|
|
{ 5, 240, 256 }, { 6, 241, 256 }, { 6, 242, 256 }, { 7, 243, 256 }, { 6, 244, 256 }, { 7, 245, 256 }, { 7, 246, 256 }, { 8, 247, 256 },
|
|
{ 6, 248, 256 }, { 7, 249, 256 }, { 7, 250, 256 }, { 8, 251, 256 }, { 7, 252, 256 }, { 8, 253, 256 }, { 8, 254, 256 }, { 9, 255, 256 },
|
|
#if FP_LUT > 9
|
|
{ 1, 0, 0 }, { 2, 1, 512 }, { 2, 2, 512 }, { 3, 3, 512 }, { 2, 4, 512 }, { 3, 5, 512 }, { 3, 6, 512 }, { 4, 7, 512 },
|
|
{ 2, 8, 512 }, { 3, 9, 512 }, { 3, 10, 512 }, { 4, 11, 512 }, { 3, 12, 512 }, { 4, 13, 512 }, { 4, 14, 512 }, { 5, 15, 512 },
|
|
{ 2, 16, 512 }, { 3, 17, 512 }, { 3, 18, 512 }, { 4, 19, 512 }, { 3, 20, 512 }, { 4, 21, 512 }, { 4, 22, 512 }, { 5, 23, 512 },
|
|
{ 3, 24, 512 }, { 4, 25, 512 }, { 4, 26, 512 }, { 5, 27, 512 }, { 4, 28, 512 }, { 5, 29, 512 }, { 5, 30, 512 }, { 6, 31, 512 },
|
|
{ 2, 32, 512 }, { 3, 33, 512 }, { 3, 34, 512 }, { 4, 35, 512 }, { 3, 36, 512 }, { 4, 37, 512 }, { 4, 38, 512 }, { 5, 39, 512 },
|
|
{ 3, 40, 512 }, { 4, 41, 512 }, { 4, 42, 512 }, { 5, 43, 512 }, { 4, 44, 512 }, { 5, 45, 512 }, { 5, 46, 512 }, { 6, 47, 512 },
|
|
{ 3, 48, 512 }, { 4, 49, 512 }, { 4, 50, 512 }, { 5, 51, 512 }, { 4, 52, 512 }, { 5, 53, 512 }, { 5, 54, 512 }, { 6, 55, 512 },
|
|
{ 4, 56, 512 }, { 5, 57, 512 }, { 5, 58, 512 }, { 6, 59, 512 }, { 5, 60, 512 }, { 6, 61, 512 }, { 6, 62, 512 }, { 7, 63, 512 },
|
|
{ 2, 64, 512 }, { 3, 65, 512 }, { 3, 66, 512 }, { 4, 67, 512 }, { 3, 68, 512 }, { 4, 69, 512 }, { 4, 70, 512 }, { 5, 71, 512 },
|
|
{ 3, 72, 512 }, { 4, 73, 512 }, { 4, 74, 512 }, { 5, 75, 512 }, { 4, 76, 512 }, { 5, 77, 512 }, { 5, 78, 512 }, { 6, 79, 512 },
|
|
{ 3, 80, 512 }, { 4, 81, 512 }, { 4, 82, 512 }, { 5, 83, 512 }, { 4, 84, 512 }, { 5, 85, 512 }, { 5, 86, 512 }, { 6, 87, 512 },
|
|
{ 4, 88, 512 }, { 5, 89, 512 }, { 5, 90, 512 }, { 6, 91, 512 }, { 5, 92, 512 }, { 6, 93, 512 }, { 6, 94, 512 }, { 7, 95, 512 },
|
|
{ 3, 96, 512 }, { 4, 97, 512 }, { 4, 98, 512 }, { 5, 99, 512 }, { 4, 100, 512 }, { 5, 101, 512 }, { 5, 102, 512 }, { 6, 103, 512 },
|
|
{ 4, 104, 512 }, { 5, 105, 512 }, { 5, 106, 512 }, { 6, 107, 512 }, { 5, 108, 512 }, { 6, 109, 512 }, { 6, 110, 512 }, { 7, 111, 512 },
|
|
{ 4, 112, 512 }, { 5, 113, 512 }, { 5, 114, 512 }, { 6, 115, 512 }, { 5, 116, 512 }, { 6, 117, 512 }, { 6, 118, 512 }, { 7, 119, 512 },
|
|
{ 5, 120, 512 }, { 6, 121, 512 }, { 6, 122, 512 }, { 7, 123, 512 }, { 6, 124, 512 }, { 7, 125, 512 }, { 7, 126, 512 }, { 8, 127, 512 },
|
|
{ 2, 128, 512 }, { 3, 129, 512 }, { 3, 130, 512 }, { 4, 131, 512 }, { 3, 132, 512 }, { 4, 133, 512 }, { 4, 134, 512 }, { 5, 135, 512 },
|
|
{ 3, 136, 512 }, { 4, 137, 512 }, { 4, 138, 512 }, { 5, 139, 512 }, { 4, 140, 512 }, { 5, 141, 512 }, { 5, 142, 512 }, { 6, 143, 512 },
|
|
{ 3, 144, 512 }, { 4, 145, 512 }, { 4, 146, 512 }, { 5, 147, 512 }, { 4, 148, 512 }, { 5, 149, 512 }, { 5, 150, 512 }, { 6, 151, 512 },
|
|
{ 4, 152, 512 }, { 5, 153, 512 }, { 5, 154, 512 }, { 6, 155, 512 }, { 5, 156, 512 }, { 6, 157, 512 }, { 6, 158, 512 }, { 7, 159, 512 },
|
|
{ 3, 160, 512 }, { 4, 161, 512 }, { 4, 162, 512 }, { 5, 163, 512 }, { 4, 164, 512 }, { 5, 165, 512 }, { 5, 166, 512 }, { 6, 167, 512 },
|
|
{ 4, 168, 512 }, { 5, 169, 512 }, { 5, 170, 512 }, { 6, 171, 512 }, { 5, 172, 512 }, { 6, 173, 512 }, { 6, 174, 512 }, { 7, 175, 512 },
|
|
{ 4, 176, 512 }, { 5, 177, 512 }, { 5, 178, 512 }, { 6, 179, 512 }, { 5, 180, 512 }, { 6, 181, 512 }, { 6, 182, 512 }, { 7, 183, 512 },
|
|
{ 5, 184, 512 }, { 6, 185, 512 }, { 6, 186, 512 }, { 7, 187, 512 }, { 6, 188, 512 }, { 7, 189, 512 }, { 7, 190, 512 }, { 8, 191, 512 },
|
|
{ 3, 192, 512 }, { 4, 193, 512 }, { 4, 194, 512 }, { 5, 195, 512 }, { 4, 196, 512 }, { 5, 197, 512 }, { 5, 198, 512 }, { 6, 199, 512 },
|
|
{ 4, 200, 512 }, { 5, 201, 512 }, { 5, 202, 512 }, { 6, 203, 512 }, { 5, 204, 512 }, { 6, 205, 512 }, { 6, 206, 512 }, { 7, 207, 512 },
|
|
{ 4, 208, 512 }, { 5, 209, 512 }, { 5, 210, 512 }, { 6, 211, 512 }, { 5, 212, 512 }, { 6, 213, 512 }, { 6, 214, 512 }, { 7, 215, 512 },
|
|
{ 5, 216, 512 }, { 6, 217, 512 }, { 6, 218, 512 }, { 7, 219, 512 }, { 6, 220, 512 }, { 7, 221, 512 }, { 7, 222, 512 }, { 8, 223, 512 },
|
|
{ 4, 224, 512 }, { 5, 225, 512 }, { 5, 226, 512 }, { 6, 227, 512 }, { 5, 228, 512 }, { 6, 229, 512 }, { 6, 230, 512 }, { 7, 231, 512 },
|
|
{ 5, 232, 512 }, { 6, 233, 512 }, { 6, 234, 512 }, { 7, 235, 512 }, { 6, 236, 512 }, { 7, 237, 512 }, { 7, 238, 512 }, { 8, 239, 512 },
|
|
{ 5, 240, 512 }, { 6, 241, 512 }, { 6, 242, 512 }, { 7, 243, 512 }, { 6, 244, 512 }, { 7, 245, 512 }, { 7, 246, 512 }, { 8, 247, 512 },
|
|
{ 6, 248, 512 }, { 7, 249, 512 }, { 7, 250, 512 }, { 8, 251, 512 }, { 7, 252, 512 }, { 8, 253, 512 }, { 8, 254, 512 }, { 9, 255, 512 },
|
|
{ 2, 256, 512 }, { 3, 257, 512 }, { 3, 258, 512 }, { 4, 259, 512 }, { 3, 260, 512 }, { 4, 261, 512 }, { 4, 262, 512 }, { 5, 263, 512 },
|
|
{ 3, 264, 512 }, { 4, 265, 512 }, { 4, 266, 512 }, { 5, 267, 512 }, { 4, 268, 512 }, { 5, 269, 512 }, { 5, 270, 512 }, { 6, 271, 512 },
|
|
{ 3, 272, 512 }, { 4, 273, 512 }, { 4, 274, 512 }, { 5, 275, 512 }, { 4, 276, 512 }, { 5, 277, 512 }, { 5, 278, 512 }, { 6, 279, 512 },
|
|
{ 4, 280, 512 }, { 5, 281, 512 }, { 5, 282, 512 }, { 6, 283, 512 }, { 5, 284, 512 }, { 6, 285, 512 }, { 6, 286, 512 }, { 7, 287, 512 },
|
|
{ 3, 288, 512 }, { 4, 289, 512 }, { 4, 290, 512 }, { 5, 291, 512 }, { 4, 292, 512 }, { 5, 293, 512 }, { 5, 294, 512 }, { 6, 295, 512 },
|
|
{ 4, 296, 512 }, { 5, 297, 512 }, { 5, 298, 512 }, { 6, 299, 512 }, { 5, 300, 512 }, { 6, 301, 512 }, { 6, 302, 512 }, { 7, 303, 512 },
|
|
{ 4, 304, 512 }, { 5, 305, 512 }, { 5, 306, 512 }, { 6, 307, 512 }, { 5, 308, 512 }, { 6, 309, 512 }, { 6, 310, 512 }, { 7, 311, 512 },
|
|
{ 5, 312, 512 }, { 6, 313, 512 }, { 6, 314, 512 }, { 7, 315, 512 }, { 6, 316, 512 }, { 7, 317, 512 }, { 7, 318, 512 }, { 8, 319, 512 },
|
|
{ 3, 320, 512 }, { 4, 321, 512 }, { 4, 322, 512 }, { 5, 323, 512 }, { 4, 324, 512 }, { 5, 325, 512 }, { 5, 326, 512 }, { 6, 327, 512 },
|
|
{ 4, 328, 512 }, { 5, 329, 512 }, { 5, 330, 512 }, { 6, 331, 512 }, { 5, 332, 512 }, { 6, 333, 512 }, { 6, 334, 512 }, { 7, 335, 512 },
|
|
{ 4, 336, 512 }, { 5, 337, 512 }, { 5, 338, 512 }, { 6, 339, 512 }, { 5, 340, 512 }, { 6, 341, 512 }, { 6, 342, 512 }, { 7, 343, 512 },
|
|
{ 5, 344, 512 }, { 6, 345, 512 }, { 6, 346, 512 }, { 7, 347, 512 }, { 6, 348, 512 }, { 7, 349, 512 }, { 7, 350, 512 }, { 8, 351, 512 },
|
|
{ 4, 352, 512 }, { 5, 353, 512 }, { 5, 354, 512 }, { 6, 355, 512 }, { 5, 356, 512 }, { 6, 357, 512 }, { 6, 358, 512 }, { 7, 359, 512 },
|
|
{ 5, 360, 512 }, { 6, 361, 512 }, { 6, 362, 512 }, { 7, 363, 512 }, { 6, 364, 512 }, { 7, 365, 512 }, { 7, 366, 512 }, { 8, 367, 512 },
|
|
{ 5, 368, 512 }, { 6, 369, 512 }, { 6, 370, 512 }, { 7, 371, 512 }, { 6, 372, 512 }, { 7, 373, 512 }, { 7, 374, 512 }, { 8, 375, 512 },
|
|
{ 6, 376, 512 }, { 7, 377, 512 }, { 7, 378, 512 }, { 8, 379, 512 }, { 7, 380, 512 }, { 8, 381, 512 }, { 8, 382, 512 }, { 9, 383, 512 },
|
|
{ 3, 384, 512 }, { 4, 385, 512 }, { 4, 386, 512 }, { 5, 387, 512 }, { 4, 388, 512 }, { 5, 389, 512 }, { 5, 390, 512 }, { 6, 391, 512 },
|
|
{ 4, 392, 512 }, { 5, 393, 512 }, { 5, 394, 512 }, { 6, 395, 512 }, { 5, 396, 512 }, { 6, 397, 512 }, { 6, 398, 512 }, { 7, 399, 512 },
|
|
{ 4, 400, 512 }, { 5, 401, 512 }, { 5, 402, 512 }, { 6, 403, 512 }, { 5, 404, 512 }, { 6, 405, 512 }, { 6, 406, 512 }, { 7, 407, 512 },
|
|
{ 5, 408, 512 }, { 6, 409, 512 }, { 6, 410, 512 }, { 7, 411, 512 }, { 6, 412, 512 }, { 7, 413, 512 }, { 7, 414, 512 }, { 8, 415, 512 },
|
|
{ 4, 416, 512 }, { 5, 417, 512 }, { 5, 418, 512 }, { 6, 419, 512 }, { 5, 420, 512 }, { 6, 421, 512 }, { 6, 422, 512 }, { 7, 423, 512 },
|
|
{ 5, 424, 512 }, { 6, 425, 512 }, { 6, 426, 512 }, { 7, 427, 512 }, { 6, 428, 512 }, { 7, 429, 512 }, { 7, 430, 512 }, { 8, 431, 512 },
|
|
{ 5, 432, 512 }, { 6, 433, 512 }, { 6, 434, 512 }, { 7, 435, 512 }, { 6, 436, 512 }, { 7, 437, 512 }, { 7, 438, 512 }, { 8, 439, 512 },
|
|
{ 6, 440, 512 }, { 7, 441, 512 }, { 7, 442, 512 }, { 8, 443, 512 }, { 7, 444, 512 }, { 8, 445, 512 }, { 8, 446, 512 }, { 9, 447, 512 },
|
|
{ 4, 448, 512 }, { 5, 449, 512 }, { 5, 450, 512 }, { 6, 451, 512 }, { 5, 452, 512 }, { 6, 453, 512 }, { 6, 454, 512 }, { 7, 455, 512 },
|
|
{ 5, 456, 512 }, { 6, 457, 512 }, { 6, 458, 512 }, { 7, 459, 512 }, { 6, 460, 512 }, { 7, 461, 512 }, { 7, 462, 512 }, { 8, 463, 512 },
|
|
{ 5, 464, 512 }, { 6, 465, 512 }, { 6, 466, 512 }, { 7, 467, 512 }, { 6, 468, 512 }, { 7, 469, 512 }, { 7, 470, 512 }, { 8, 471, 512 },
|
|
{ 6, 472, 512 }, { 7, 473, 512 }, { 7, 474, 512 }, { 8, 475, 512 }, { 7, 476, 512 }, { 8, 477, 512 }, { 8, 478, 512 }, { 9, 479, 512 },
|
|
{ 5, 480, 512 }, { 6, 481, 512 }, { 6, 482, 512 }, { 7, 483, 512 }, { 6, 484, 512 }, { 7, 485, 512 }, { 7, 486, 512 }, { 8, 487, 512 },
|
|
{ 6, 488, 512 }, { 7, 489, 512 }, { 7, 490, 512 }, { 8, 491, 512 }, { 7, 492, 512 }, { 8, 493, 512 }, { 8, 494, 512 }, { 9, 495, 512 },
|
|
{ 6, 496, 512 }, { 7, 497, 512 }, { 7, 498, 512 }, { 8, 499, 512 }, { 7, 500, 512 }, { 8, 501, 512 }, { 8, 502, 512 }, { 9, 503, 512 },
|
|
{ 7, 504, 512 }, { 8, 505, 512 }, { 8, 506, 512 }, { 9, 507, 512 }, { 8, 508, 512 }, { 9, 509, 512 }, { 9, 510, 512 }, { 10, 511, 512 },
|
|
#if FP_LUT > 10
|
|
{ 1, 0, 0 }, { 2, 1, 1024 }, { 2, 2, 1024 }, { 3, 3, 1024 }, { 2, 4, 1024 }, { 3, 5, 1024 }, { 3, 6, 1024 }, { 4, 7, 1024 },
|
|
{ 2, 8, 1024 }, { 3, 9, 1024 }, { 3, 10, 1024 }, { 4, 11, 1024 }, { 3, 12, 1024 }, { 4, 13, 1024 }, { 4, 14, 1024 }, { 5, 15, 1024 },
|
|
{ 2, 16, 1024 }, { 3, 17, 1024 }, { 3, 18, 1024 }, { 4, 19, 1024 }, { 3, 20, 1024 }, { 4, 21, 1024 }, { 4, 22, 1024 }, { 5, 23, 1024 },
|
|
{ 3, 24, 1024 }, { 4, 25, 1024 }, { 4, 26, 1024 }, { 5, 27, 1024 }, { 4, 28, 1024 }, { 5, 29, 1024 }, { 5, 30, 1024 }, { 6, 31, 1024 },
|
|
{ 2, 32, 1024 }, { 3, 33, 1024 }, { 3, 34, 1024 }, { 4, 35, 1024 }, { 3, 36, 1024 }, { 4, 37, 1024 }, { 4, 38, 1024 }, { 5, 39, 1024 },
|
|
{ 3, 40, 1024 }, { 4, 41, 1024 }, { 4, 42, 1024 }, { 5, 43, 1024 }, { 4, 44, 1024 }, { 5, 45, 1024 }, { 5, 46, 1024 }, { 6, 47, 1024 },
|
|
{ 3, 48, 1024 }, { 4, 49, 1024 }, { 4, 50, 1024 }, { 5, 51, 1024 }, { 4, 52, 1024 }, { 5, 53, 1024 }, { 5, 54, 1024 }, { 6, 55, 1024 },
|
|
{ 4, 56, 1024 }, { 5, 57, 1024 }, { 5, 58, 1024 }, { 6, 59, 1024 }, { 5, 60, 1024 }, { 6, 61, 1024 }, { 6, 62, 1024 }, { 7, 63, 1024 },
|
|
{ 2, 64, 1024 }, { 3, 65, 1024 }, { 3, 66, 1024 }, { 4, 67, 1024 }, { 3, 68, 1024 }, { 4, 69, 1024 }, { 4, 70, 1024 }, { 5, 71, 1024 },
|
|
{ 3, 72, 1024 }, { 4, 73, 1024 }, { 4, 74, 1024 }, { 5, 75, 1024 }, { 4, 76, 1024 }, { 5, 77, 1024 }, { 5, 78, 1024 }, { 6, 79, 1024 },
|
|
{ 3, 80, 1024 }, { 4, 81, 1024 }, { 4, 82, 1024 }, { 5, 83, 1024 }, { 4, 84, 1024 }, { 5, 85, 1024 }, { 5, 86, 1024 }, { 6, 87, 1024 },
|
|
{ 4, 88, 1024 }, { 5, 89, 1024 }, { 5, 90, 1024 }, { 6, 91, 1024 }, { 5, 92, 1024 }, { 6, 93, 1024 }, { 6, 94, 1024 }, { 7, 95, 1024 },
|
|
{ 3, 96, 1024 }, { 4, 97, 1024 }, { 4, 98, 1024 }, { 5, 99, 1024 }, { 4, 100, 1024 }, { 5, 101, 1024 }, { 5, 102, 1024 }, { 6, 103, 1024 },
|
|
{ 4, 104, 1024 }, { 5, 105, 1024 }, { 5, 106, 1024 }, { 6, 107, 1024 }, { 5, 108, 1024 }, { 6, 109, 1024 }, { 6, 110, 1024 }, { 7, 111, 1024 },
|
|
{ 4, 112, 1024 }, { 5, 113, 1024 }, { 5, 114, 1024 }, { 6, 115, 1024 }, { 5, 116, 1024 }, { 6, 117, 1024 }, { 6, 118, 1024 }, { 7, 119, 1024 },
|
|
{ 5, 120, 1024 }, { 6, 121, 1024 }, { 6, 122, 1024 }, { 7, 123, 1024 }, { 6, 124, 1024 }, { 7, 125, 1024 }, { 7, 126, 1024 }, { 8, 127, 1024 },
|
|
{ 2, 128, 1024 }, { 3, 129, 1024 }, { 3, 130, 1024 }, { 4, 131, 1024 }, { 3, 132, 1024 }, { 4, 133, 1024 }, { 4, 134, 1024 }, { 5, 135, 1024 },
|
|
{ 3, 136, 1024 }, { 4, 137, 1024 }, { 4, 138, 1024 }, { 5, 139, 1024 }, { 4, 140, 1024 }, { 5, 141, 1024 }, { 5, 142, 1024 }, { 6, 143, 1024 },
|
|
{ 3, 144, 1024 }, { 4, 145, 1024 }, { 4, 146, 1024 }, { 5, 147, 1024 }, { 4, 148, 1024 }, { 5, 149, 1024 }, { 5, 150, 1024 }, { 6, 151, 1024 },
|
|
{ 4, 152, 1024 }, { 5, 153, 1024 }, { 5, 154, 1024 }, { 6, 155, 1024 }, { 5, 156, 1024 }, { 6, 157, 1024 }, { 6, 158, 1024 }, { 7, 159, 1024 },
|
|
{ 3, 160, 1024 }, { 4, 161, 1024 }, { 4, 162, 1024 }, { 5, 163, 1024 }, { 4, 164, 1024 }, { 5, 165, 1024 }, { 5, 166, 1024 }, { 6, 167, 1024 },
|
|
{ 4, 168, 1024 }, { 5, 169, 1024 }, { 5, 170, 1024 }, { 6, 171, 1024 }, { 5, 172, 1024 }, { 6, 173, 1024 }, { 6, 174, 1024 }, { 7, 175, 1024 },
|
|
{ 4, 176, 1024 }, { 5, 177, 1024 }, { 5, 178, 1024 }, { 6, 179, 1024 }, { 5, 180, 1024 }, { 6, 181, 1024 }, { 6, 182, 1024 }, { 7, 183, 1024 },
|
|
{ 5, 184, 1024 }, { 6, 185, 1024 }, { 6, 186, 1024 }, { 7, 187, 1024 }, { 6, 188, 1024 }, { 7, 189, 1024 }, { 7, 190, 1024 }, { 8, 191, 1024 },
|
|
{ 3, 192, 1024 }, { 4, 193, 1024 }, { 4, 194, 1024 }, { 5, 195, 1024 }, { 4, 196, 1024 }, { 5, 197, 1024 }, { 5, 198, 1024 }, { 6, 199, 1024 },
|
|
{ 4, 200, 1024 }, { 5, 201, 1024 }, { 5, 202, 1024 }, { 6, 203, 1024 }, { 5, 204, 1024 }, { 6, 205, 1024 }, { 6, 206, 1024 }, { 7, 207, 1024 },
|
|
{ 4, 208, 1024 }, { 5, 209, 1024 }, { 5, 210, 1024 }, { 6, 211, 1024 }, { 5, 212, 1024 }, { 6, 213, 1024 }, { 6, 214, 1024 }, { 7, 215, 1024 },
|
|
{ 5, 216, 1024 }, { 6, 217, 1024 }, { 6, 218, 1024 }, { 7, 219, 1024 }, { 6, 220, 1024 }, { 7, 221, 1024 }, { 7, 222, 1024 }, { 8, 223, 1024 },
|
|
{ 4, 224, 1024 }, { 5, 225, 1024 }, { 5, 226, 1024 }, { 6, 227, 1024 }, { 5, 228, 1024 }, { 6, 229, 1024 }, { 6, 230, 1024 }, { 7, 231, 1024 },
|
|
{ 5, 232, 1024 }, { 6, 233, 1024 }, { 6, 234, 1024 }, { 7, 235, 1024 }, { 6, 236, 1024 }, { 7, 237, 1024 }, { 7, 238, 1024 }, { 8, 239, 1024 },
|
|
{ 5, 240, 1024 }, { 6, 241, 1024 }, { 6, 242, 1024 }, { 7, 243, 1024 }, { 6, 244, 1024 }, { 7, 245, 1024 }, { 7, 246, 1024 }, { 8, 247, 1024 },
|
|
{ 6, 248, 1024 }, { 7, 249, 1024 }, { 7, 250, 1024 }, { 8, 251, 1024 }, { 7, 252, 1024 }, { 8, 253, 1024 }, { 8, 254, 1024 }, { 9, 255, 1024 },
|
|
{ 2, 256, 1024 }, { 3, 257, 1024 }, { 3, 258, 1024 }, { 4, 259, 1024 }, { 3, 260, 1024 }, { 4, 261, 1024 }, { 4, 262, 1024 }, { 5, 263, 1024 },
|
|
{ 3, 264, 1024 }, { 4, 265, 1024 }, { 4, 266, 1024 }, { 5, 267, 1024 }, { 4, 268, 1024 }, { 5, 269, 1024 }, { 5, 270, 1024 }, { 6, 271, 1024 },
|
|
{ 3, 272, 1024 }, { 4, 273, 1024 }, { 4, 274, 1024 }, { 5, 275, 1024 }, { 4, 276, 1024 }, { 5, 277, 1024 }, { 5, 278, 1024 }, { 6, 279, 1024 },
|
|
{ 4, 280, 1024 }, { 5, 281, 1024 }, { 5, 282, 1024 }, { 6, 283, 1024 }, { 5, 284, 1024 }, { 6, 285, 1024 }, { 6, 286, 1024 }, { 7, 287, 1024 },
|
|
{ 3, 288, 1024 }, { 4, 289, 1024 }, { 4, 290, 1024 }, { 5, 291, 1024 }, { 4, 292, 1024 }, { 5, 293, 1024 }, { 5, 294, 1024 }, { 6, 295, 1024 },
|
|
{ 4, 296, 1024 }, { 5, 297, 1024 }, { 5, 298, 1024 }, { 6, 299, 1024 }, { 5, 300, 1024 }, { 6, 301, 1024 }, { 6, 302, 1024 }, { 7, 303, 1024 },
|
|
{ 4, 304, 1024 }, { 5, 305, 1024 }, { 5, 306, 1024 }, { 6, 307, 1024 }, { 5, 308, 1024 }, { 6, 309, 1024 }, { 6, 310, 1024 }, { 7, 311, 1024 },
|
|
{ 5, 312, 1024 }, { 6, 313, 1024 }, { 6, 314, 1024 }, { 7, 315, 1024 }, { 6, 316, 1024 }, { 7, 317, 1024 }, { 7, 318, 1024 }, { 8, 319, 1024 },
|
|
{ 3, 320, 1024 }, { 4, 321, 1024 }, { 4, 322, 1024 }, { 5, 323, 1024 }, { 4, 324, 1024 }, { 5, 325, 1024 }, { 5, 326, 1024 }, { 6, 327, 1024 },
|
|
{ 4, 328, 1024 }, { 5, 329, 1024 }, { 5, 330, 1024 }, { 6, 331, 1024 }, { 5, 332, 1024 }, { 6, 333, 1024 }, { 6, 334, 1024 }, { 7, 335, 1024 },
|
|
{ 4, 336, 1024 }, { 5, 337, 1024 }, { 5, 338, 1024 }, { 6, 339, 1024 }, { 5, 340, 1024 }, { 6, 341, 1024 }, { 6, 342, 1024 }, { 7, 343, 1024 },
|
|
{ 5, 344, 1024 }, { 6, 345, 1024 }, { 6, 346, 1024 }, { 7, 347, 1024 }, { 6, 348, 1024 }, { 7, 349, 1024 }, { 7, 350, 1024 }, { 8, 351, 1024 },
|
|
{ 4, 352, 1024 }, { 5, 353, 1024 }, { 5, 354, 1024 }, { 6, 355, 1024 }, { 5, 356, 1024 }, { 6, 357, 1024 }, { 6, 358, 1024 }, { 7, 359, 1024 },
|
|
{ 5, 360, 1024 }, { 6, 361, 1024 }, { 6, 362, 1024 }, { 7, 363, 1024 }, { 6, 364, 1024 }, { 7, 365, 1024 }, { 7, 366, 1024 }, { 8, 367, 1024 },
|
|
{ 5, 368, 1024 }, { 6, 369, 1024 }, { 6, 370, 1024 }, { 7, 371, 1024 }, { 6, 372, 1024 }, { 7, 373, 1024 }, { 7, 374, 1024 }, { 8, 375, 1024 },
|
|
{ 6, 376, 1024 }, { 7, 377, 1024 }, { 7, 378, 1024 }, { 8, 379, 1024 }, { 7, 380, 1024 }, { 8, 381, 1024 }, { 8, 382, 1024 }, { 9, 383, 1024 },
|
|
{ 3, 384, 1024 }, { 4, 385, 1024 }, { 4, 386, 1024 }, { 5, 387, 1024 }, { 4, 388, 1024 }, { 5, 389, 1024 }, { 5, 390, 1024 }, { 6, 391, 1024 },
|
|
{ 4, 392, 1024 }, { 5, 393, 1024 }, { 5, 394, 1024 }, { 6, 395, 1024 }, { 5, 396, 1024 }, { 6, 397, 1024 }, { 6, 398, 1024 }, { 7, 399, 1024 },
|
|
{ 4, 400, 1024 }, { 5, 401, 1024 }, { 5, 402, 1024 }, { 6, 403, 1024 }, { 5, 404, 1024 }, { 6, 405, 1024 }, { 6, 406, 1024 }, { 7, 407, 1024 },
|
|
{ 5, 408, 1024 }, { 6, 409, 1024 }, { 6, 410, 1024 }, { 7, 411, 1024 }, { 6, 412, 1024 }, { 7, 413, 1024 }, { 7, 414, 1024 }, { 8, 415, 1024 },
|
|
{ 4, 416, 1024 }, { 5, 417, 1024 }, { 5, 418, 1024 }, { 6, 419, 1024 }, { 5, 420, 1024 }, { 6, 421, 1024 }, { 6, 422, 1024 }, { 7, 423, 1024 },
|
|
{ 5, 424, 1024 }, { 6, 425, 1024 }, { 6, 426, 1024 }, { 7, 427, 1024 }, { 6, 428, 1024 }, { 7, 429, 1024 }, { 7, 430, 1024 }, { 8, 431, 1024 },
|
|
{ 5, 432, 1024 }, { 6, 433, 1024 }, { 6, 434, 1024 }, { 7, 435, 1024 }, { 6, 436, 1024 }, { 7, 437, 1024 }, { 7, 438, 1024 }, { 8, 439, 1024 },
|
|
{ 6, 440, 1024 }, { 7, 441, 1024 }, { 7, 442, 1024 }, { 8, 443, 1024 }, { 7, 444, 1024 }, { 8, 445, 1024 }, { 8, 446, 1024 }, { 9, 447, 1024 },
|
|
{ 4, 448, 1024 }, { 5, 449, 1024 }, { 5, 450, 1024 }, { 6, 451, 1024 }, { 5, 452, 1024 }, { 6, 453, 1024 }, { 6, 454, 1024 }, { 7, 455, 1024 },
|
|
{ 5, 456, 1024 }, { 6, 457, 1024 }, { 6, 458, 1024 }, { 7, 459, 1024 }, { 6, 460, 1024 }, { 7, 461, 1024 }, { 7, 462, 1024 }, { 8, 463, 1024 },
|
|
{ 5, 464, 1024 }, { 6, 465, 1024 }, { 6, 466, 1024 }, { 7, 467, 1024 }, { 6, 468, 1024 }, { 7, 469, 1024 }, { 7, 470, 1024 }, { 8, 471, 1024 },
|
|
{ 6, 472, 1024 }, { 7, 473, 1024 }, { 7, 474, 1024 }, { 8, 475, 1024 }, { 7, 476, 1024 }, { 8, 477, 1024 }, { 8, 478, 1024 }, { 9, 479, 1024 },
|
|
{ 5, 480, 1024 }, { 6, 481, 1024 }, { 6, 482, 1024 }, { 7, 483, 1024 }, { 6, 484, 1024 }, { 7, 485, 1024 }, { 7, 486, 1024 }, { 8, 487, 1024 },
|
|
{ 6, 488, 1024 }, { 7, 489, 1024 }, { 7, 490, 1024 }, { 8, 491, 1024 }, { 7, 492, 1024 }, { 8, 493, 1024 }, { 8, 494, 1024 }, { 9, 495, 1024 },
|
|
{ 6, 496, 1024 }, { 7, 497, 1024 }, { 7, 498, 1024 }, { 8, 499, 1024 }, { 7, 500, 1024 }, { 8, 501, 1024 }, { 8, 502, 1024 }, { 9, 503, 1024 },
|
|
{ 7, 504, 1024 }, { 8, 505, 1024 }, { 8, 506, 1024 }, { 9, 507, 1024 }, { 8, 508, 1024 }, { 9, 509, 1024 }, { 9, 510, 1024 }, { 10, 511, 1024 },
|
|
{ 2, 512, 1024 }, { 3, 513, 1024 }, { 3, 514, 1024 }, { 4, 515, 1024 }, { 3, 516, 1024 }, { 4, 517, 1024 }, { 4, 518, 1024 }, { 5, 519, 1024 },
|
|
{ 3, 520, 1024 }, { 4, 521, 1024 }, { 4, 522, 1024 }, { 5, 523, 1024 }, { 4, 524, 1024 }, { 5, 525, 1024 }, { 5, 526, 1024 }, { 6, 527, 1024 },
|
|
{ 3, 528, 1024 }, { 4, 529, 1024 }, { 4, 530, 1024 }, { 5, 531, 1024 }, { 4, 532, 1024 }, { 5, 533, 1024 }, { 5, 534, 1024 }, { 6, 535, 1024 },
|
|
{ 4, 536, 1024 }, { 5, 537, 1024 }, { 5, 538, 1024 }, { 6, 539, 1024 }, { 5, 540, 1024 }, { 6, 541, 1024 }, { 6, 542, 1024 }, { 7, 543, 1024 },
|
|
{ 3, 544, 1024 }, { 4, 545, 1024 }, { 4, 546, 1024 }, { 5, 547, 1024 }, { 4, 548, 1024 }, { 5, 549, 1024 }, { 5, 550, 1024 }, { 6, 551, 1024 },
|
|
{ 4, 552, 1024 }, { 5, 553, 1024 }, { 5, 554, 1024 }, { 6, 555, 1024 }, { 5, 556, 1024 }, { 6, 557, 1024 }, { 6, 558, 1024 }, { 7, 559, 1024 },
|
|
{ 4, 560, 1024 }, { 5, 561, 1024 }, { 5, 562, 1024 }, { 6, 563, 1024 }, { 5, 564, 1024 }, { 6, 565, 1024 }, { 6, 566, 1024 }, { 7, 567, 1024 },
|
|
{ 5, 568, 1024 }, { 6, 569, 1024 }, { 6, 570, 1024 }, { 7, 571, 1024 }, { 6, 572, 1024 }, { 7, 573, 1024 }, { 7, 574, 1024 }, { 8, 575, 1024 },
|
|
{ 3, 576, 1024 }, { 4, 577, 1024 }, { 4, 578, 1024 }, { 5, 579, 1024 }, { 4, 580, 1024 }, { 5, 581, 1024 }, { 5, 582, 1024 }, { 6, 583, 1024 },
|
|
{ 4, 584, 1024 }, { 5, 585, 1024 }, { 5, 586, 1024 }, { 6, 587, 1024 }, { 5, 588, 1024 }, { 6, 589, 1024 }, { 6, 590, 1024 }, { 7, 591, 1024 },
|
|
{ 4, 592, 1024 }, { 5, 593, 1024 }, { 5, 594, 1024 }, { 6, 595, 1024 }, { 5, 596, 1024 }, { 6, 597, 1024 }, { 6, 598, 1024 }, { 7, 599, 1024 },
|
|
{ 5, 600, 1024 }, { 6, 601, 1024 }, { 6, 602, 1024 }, { 7, 603, 1024 }, { 6, 604, 1024 }, { 7, 605, 1024 }, { 7, 606, 1024 }, { 8, 607, 1024 },
|
|
{ 4, 608, 1024 }, { 5, 609, 1024 }, { 5, 610, 1024 }, { 6, 611, 1024 }, { 5, 612, 1024 }, { 6, 613, 1024 }, { 6, 614, 1024 }, { 7, 615, 1024 },
|
|
{ 5, 616, 1024 }, { 6, 617, 1024 }, { 6, 618, 1024 }, { 7, 619, 1024 }, { 6, 620, 1024 }, { 7, 621, 1024 }, { 7, 622, 1024 }, { 8, 623, 1024 },
|
|
{ 5, 624, 1024 }, { 6, 625, 1024 }, { 6, 626, 1024 }, { 7, 627, 1024 }, { 6, 628, 1024 }, { 7, 629, 1024 }, { 7, 630, 1024 }, { 8, 631, 1024 },
|
|
{ 6, 632, 1024 }, { 7, 633, 1024 }, { 7, 634, 1024 }, { 8, 635, 1024 }, { 7, 636, 1024 }, { 8, 637, 1024 }, { 8, 638, 1024 }, { 9, 639, 1024 },
|
|
{ 3, 640, 1024 }, { 4, 641, 1024 }, { 4, 642, 1024 }, { 5, 643, 1024 }, { 4, 644, 1024 }, { 5, 645, 1024 }, { 5, 646, 1024 }, { 6, 647, 1024 },
|
|
{ 4, 648, 1024 }, { 5, 649, 1024 }, { 5, 650, 1024 }, { 6, 651, 1024 }, { 5, 652, 1024 }, { 6, 653, 1024 }, { 6, 654, 1024 }, { 7, 655, 1024 },
|
|
{ 4, 656, 1024 }, { 5, 657, 1024 }, { 5, 658, 1024 }, { 6, 659, 1024 }, { 5, 660, 1024 }, { 6, 661, 1024 }, { 6, 662, 1024 }, { 7, 663, 1024 },
|
|
{ 5, 664, 1024 }, { 6, 665, 1024 }, { 6, 666, 1024 }, { 7, 667, 1024 }, { 6, 668, 1024 }, { 7, 669, 1024 }, { 7, 670, 1024 }, { 8, 671, 1024 },
|
|
{ 4, 672, 1024 }, { 5, 673, 1024 }, { 5, 674, 1024 }, { 6, 675, 1024 }, { 5, 676, 1024 }, { 6, 677, 1024 }, { 6, 678, 1024 }, { 7, 679, 1024 },
|
|
{ 5, 680, 1024 }, { 6, 681, 1024 }, { 6, 682, 1024 }, { 7, 683, 1024 }, { 6, 684, 1024 }, { 7, 685, 1024 }, { 7, 686, 1024 }, { 8, 687, 1024 },
|
|
{ 5, 688, 1024 }, { 6, 689, 1024 }, { 6, 690, 1024 }, { 7, 691, 1024 }, { 6, 692, 1024 }, { 7, 693, 1024 }, { 7, 694, 1024 }, { 8, 695, 1024 },
|
|
{ 6, 696, 1024 }, { 7, 697, 1024 }, { 7, 698, 1024 }, { 8, 699, 1024 }, { 7, 700, 1024 }, { 8, 701, 1024 }, { 8, 702, 1024 }, { 9, 703, 1024 },
|
|
{ 4, 704, 1024 }, { 5, 705, 1024 }, { 5, 706, 1024 }, { 6, 707, 1024 }, { 5, 708, 1024 }, { 6, 709, 1024 }, { 6, 710, 1024 }, { 7, 711, 1024 },
|
|
{ 5, 712, 1024 }, { 6, 713, 1024 }, { 6, 714, 1024 }, { 7, 715, 1024 }, { 6, 716, 1024 }, { 7, 717, 1024 }, { 7, 718, 1024 }, { 8, 719, 1024 },
|
|
{ 5, 720, 1024 }, { 6, 721, 1024 }, { 6, 722, 1024 }, { 7, 723, 1024 }, { 6, 724, 1024 }, { 7, 725, 1024 }, { 7, 726, 1024 }, { 8, 727, 1024 },
|
|
{ 6, 728, 1024 }, { 7, 729, 1024 }, { 7, 730, 1024 }, { 8, 731, 1024 }, { 7, 732, 1024 }, { 8, 733, 1024 }, { 8, 734, 1024 }, { 9, 735, 1024 },
|
|
{ 5, 736, 1024 }, { 6, 737, 1024 }, { 6, 738, 1024 }, { 7, 739, 1024 }, { 6, 740, 1024 }, { 7, 741, 1024 }, { 7, 742, 1024 }, { 8, 743, 1024 },
|
|
{ 6, 744, 1024 }, { 7, 745, 1024 }, { 7, 746, 1024 }, { 8, 747, 1024 }, { 7, 748, 1024 }, { 8, 749, 1024 }, { 8, 750, 1024 }, { 9, 751, 1024 },
|
|
{ 6, 752, 1024 }, { 7, 753, 1024 }, { 7, 754, 1024 }, { 8, 755, 1024 }, { 7, 756, 1024 }, { 8, 757, 1024 }, { 8, 758, 1024 }, { 9, 759, 1024 },
|
|
{ 7, 760, 1024 }, { 8, 761, 1024 }, { 8, 762, 1024 }, { 9, 763, 1024 }, { 8, 764, 1024 }, { 9, 765, 1024 }, { 9, 766, 1024 }, { 10, 767, 1024 },
|
|
{ 3, 768, 1024 }, { 4, 769, 1024 }, { 4, 770, 1024 }, { 5, 771, 1024 }, { 4, 772, 1024 }, { 5, 773, 1024 }, { 5, 774, 1024 }, { 6, 775, 1024 },
|
|
{ 4, 776, 1024 }, { 5, 777, 1024 }, { 5, 778, 1024 }, { 6, 779, 1024 }, { 5, 780, 1024 }, { 6, 781, 1024 }, { 6, 782, 1024 }, { 7, 783, 1024 },
|
|
{ 4, 784, 1024 }, { 5, 785, 1024 }, { 5, 786, 1024 }, { 6, 787, 1024 }, { 5, 788, 1024 }, { 6, 789, 1024 }, { 6, 790, 1024 }, { 7, 791, 1024 },
|
|
{ 5, 792, 1024 }, { 6, 793, 1024 }, { 6, 794, 1024 }, { 7, 795, 1024 }, { 6, 796, 1024 }, { 7, 797, 1024 }, { 7, 798, 1024 }, { 8, 799, 1024 },
|
|
{ 4, 800, 1024 }, { 5, 801, 1024 }, { 5, 802, 1024 }, { 6, 803, 1024 }, { 5, 804, 1024 }, { 6, 805, 1024 }, { 6, 806, 1024 }, { 7, 807, 1024 },
|
|
{ 5, 808, 1024 }, { 6, 809, 1024 }, { 6, 810, 1024 }, { 7, 811, 1024 }, { 6, 812, 1024 }, { 7, 813, 1024 }, { 7, 814, 1024 }, { 8, 815, 1024 },
|
|
{ 5, 816, 1024 }, { 6, 817, 1024 }, { 6, 818, 1024 }, { 7, 819, 1024 }, { 6, 820, 1024 }, { 7, 821, 1024 }, { 7, 822, 1024 }, { 8, 823, 1024 },
|
|
{ 6, 824, 1024 }, { 7, 825, 1024 }, { 7, 826, 1024 }, { 8, 827, 1024 }, { 7, 828, 1024 }, { 8, 829, 1024 }, { 8, 830, 1024 }, { 9, 831, 1024 },
|
|
{ 4, 832, 1024 }, { 5, 833, 1024 }, { 5, 834, 1024 }, { 6, 835, 1024 }, { 5, 836, 1024 }, { 6, 837, 1024 }, { 6, 838, 1024 }, { 7, 839, 1024 },
|
|
{ 5, 840, 1024 }, { 6, 841, 1024 }, { 6, 842, 1024 }, { 7, 843, 1024 }, { 6, 844, 1024 }, { 7, 845, 1024 }, { 7, 846, 1024 }, { 8, 847, 1024 },
|
|
{ 5, 848, 1024 }, { 6, 849, 1024 }, { 6, 850, 1024 }, { 7, 851, 1024 }, { 6, 852, 1024 }, { 7, 853, 1024 }, { 7, 854, 1024 }, { 8, 855, 1024 },
|
|
{ 6, 856, 1024 }, { 7, 857, 1024 }, { 7, 858, 1024 }, { 8, 859, 1024 }, { 7, 860, 1024 }, { 8, 861, 1024 }, { 8, 862, 1024 }, { 9, 863, 1024 },
|
|
{ 5, 864, 1024 }, { 6, 865, 1024 }, { 6, 866, 1024 }, { 7, 867, 1024 }, { 6, 868, 1024 }, { 7, 869, 1024 }, { 7, 870, 1024 }, { 8, 871, 1024 },
|
|
{ 6, 872, 1024 }, { 7, 873, 1024 }, { 7, 874, 1024 }, { 8, 875, 1024 }, { 7, 876, 1024 }, { 8, 877, 1024 }, { 8, 878, 1024 }, { 9, 879, 1024 },
|
|
{ 6, 880, 1024 }, { 7, 881, 1024 }, { 7, 882, 1024 }, { 8, 883, 1024 }, { 7, 884, 1024 }, { 8, 885, 1024 }, { 8, 886, 1024 }, { 9, 887, 1024 },
|
|
{ 7, 888, 1024 }, { 8, 889, 1024 }, { 8, 890, 1024 }, { 9, 891, 1024 }, { 8, 892, 1024 }, { 9, 893, 1024 }, { 9, 894, 1024 }, { 10, 895, 1024 },
|
|
{ 4, 896, 1024 }, { 5, 897, 1024 }, { 5, 898, 1024 }, { 6, 899, 1024 }, { 5, 900, 1024 }, { 6, 901, 1024 }, { 6, 902, 1024 }, { 7, 903, 1024 },
|
|
{ 5, 904, 1024 }, { 6, 905, 1024 }, { 6, 906, 1024 }, { 7, 907, 1024 }, { 6, 908, 1024 }, { 7, 909, 1024 }, { 7, 910, 1024 }, { 8, 911, 1024 },
|
|
{ 5, 912, 1024 }, { 6, 913, 1024 }, { 6, 914, 1024 }, { 7, 915, 1024 }, { 6, 916, 1024 }, { 7, 917, 1024 }, { 7, 918, 1024 }, { 8, 919, 1024 },
|
|
{ 6, 920, 1024 }, { 7, 921, 1024 }, { 7, 922, 1024 }, { 8, 923, 1024 }, { 7, 924, 1024 }, { 8, 925, 1024 }, { 8, 926, 1024 }, { 9, 927, 1024 },
|
|
{ 5, 928, 1024 }, { 6, 929, 1024 }, { 6, 930, 1024 }, { 7, 931, 1024 }, { 6, 932, 1024 }, { 7, 933, 1024 }, { 7, 934, 1024 }, { 8, 935, 1024 },
|
|
{ 6, 936, 1024 }, { 7, 937, 1024 }, { 7, 938, 1024 }, { 8, 939, 1024 }, { 7, 940, 1024 }, { 8, 941, 1024 }, { 8, 942, 1024 }, { 9, 943, 1024 },
|
|
{ 6, 944, 1024 }, { 7, 945, 1024 }, { 7, 946, 1024 }, { 8, 947, 1024 }, { 7, 948, 1024 }, { 8, 949, 1024 }, { 8, 950, 1024 }, { 9, 951, 1024 },
|
|
{ 7, 952, 1024 }, { 8, 953, 1024 }, { 8, 954, 1024 }, { 9, 955, 1024 }, { 8, 956, 1024 }, { 9, 957, 1024 }, { 9, 958, 1024 }, { 10, 959, 1024 },
|
|
{ 5, 960, 1024 }, { 6, 961, 1024 }, { 6, 962, 1024 }, { 7, 963, 1024 }, { 6, 964, 1024 }, { 7, 965, 1024 }, { 7, 966, 1024 }, { 8, 967, 1024 },
|
|
{ 6, 968, 1024 }, { 7, 969, 1024 }, { 7, 970, 1024 }, { 8, 971, 1024 }, { 7, 972, 1024 }, { 8, 973, 1024 }, { 8, 974, 1024 }, { 9, 975, 1024 },
|
|
{ 6, 976, 1024 }, { 7, 977, 1024 }, { 7, 978, 1024 }, { 8, 979, 1024 }, { 7, 980, 1024 }, { 8, 981, 1024 }, { 8, 982, 1024 }, { 9, 983, 1024 },
|
|
{ 7, 984, 1024 }, { 8, 985, 1024 }, { 8, 986, 1024 }, { 9, 987, 1024 }, { 8, 988, 1024 }, { 9, 989, 1024 }, { 9, 990, 1024 }, { 10, 991, 1024 },
|
|
{ 6, 992, 1024 }, { 7, 993, 1024 }, { 7, 994, 1024 }, { 8, 995, 1024 }, { 7, 996, 1024 }, { 8, 997, 1024 }, { 8, 998, 1024 }, { 9, 999, 1024 },
|
|
{ 7, 1000, 1024 }, { 8, 1001, 1024 }, { 8, 1002, 1024 }, { 9, 1003, 1024 }, { 8, 1004, 1024 }, { 9, 1005, 1024 }, { 9, 1006, 1024 }, { 10, 1007, 1024 },
|
|
{ 7, 1008, 1024 }, { 8, 1009, 1024 }, { 8, 1010, 1024 }, { 9, 1011, 1024 }, { 8, 1012, 1024 }, { 9, 1013, 1024 }, { 9, 1014, 1024 }, { 10, 1015, 1024 },
|
|
{ 8, 1016, 1024 }, { 9, 1017, 1024 }, { 9, 1018, 1024 }, { 10, 1019, 1024 }, { 9, 1020, 1024 }, { 10, 1021, 1024 }, { 10, 1022, 1024 }, { 11, 1023, 1024 },
|
|
#if FP_LUT > 11
|
|
{ 1, 0, 0 }, { 2, 1, 2048 }, { 2, 2, 2048 }, { 3, 3, 2048 }, { 2, 4, 2048 }, { 3, 5, 2048 }, { 3, 6, 2048 }, { 4, 7, 2048 },
|
|
{ 2, 8, 2048 }, { 3, 9, 2048 }, { 3, 10, 2048 }, { 4, 11, 2048 }, { 3, 12, 2048 }, { 4, 13, 2048 }, { 4, 14, 2048 }, { 5, 15, 2048 },
|
|
{ 2, 16, 2048 }, { 3, 17, 2048 }, { 3, 18, 2048 }, { 4, 19, 2048 }, { 3, 20, 2048 }, { 4, 21, 2048 }, { 4, 22, 2048 }, { 5, 23, 2048 },
|
|
{ 3, 24, 2048 }, { 4, 25, 2048 }, { 4, 26, 2048 }, { 5, 27, 2048 }, { 4, 28, 2048 }, { 5, 29, 2048 }, { 5, 30, 2048 }, { 6, 31, 2048 },
|
|
{ 2, 32, 2048 }, { 3, 33, 2048 }, { 3, 34, 2048 }, { 4, 35, 2048 }, { 3, 36, 2048 }, { 4, 37, 2048 }, { 4, 38, 2048 }, { 5, 39, 2048 },
|
|
{ 3, 40, 2048 }, { 4, 41, 2048 }, { 4, 42, 2048 }, { 5, 43, 2048 }, { 4, 44, 2048 }, { 5, 45, 2048 }, { 5, 46, 2048 }, { 6, 47, 2048 },
|
|
{ 3, 48, 2048 }, { 4, 49, 2048 }, { 4, 50, 2048 }, { 5, 51, 2048 }, { 4, 52, 2048 }, { 5, 53, 2048 }, { 5, 54, 2048 }, { 6, 55, 2048 },
|
|
{ 4, 56, 2048 }, { 5, 57, 2048 }, { 5, 58, 2048 }, { 6, 59, 2048 }, { 5, 60, 2048 }, { 6, 61, 2048 }, { 6, 62, 2048 }, { 7, 63, 2048 },
|
|
{ 2, 64, 2048 }, { 3, 65, 2048 }, { 3, 66, 2048 }, { 4, 67, 2048 }, { 3, 68, 2048 }, { 4, 69, 2048 }, { 4, 70, 2048 }, { 5, 71, 2048 },
|
|
{ 3, 72, 2048 }, { 4, 73, 2048 }, { 4, 74, 2048 }, { 5, 75, 2048 }, { 4, 76, 2048 }, { 5, 77, 2048 }, { 5, 78, 2048 }, { 6, 79, 2048 },
|
|
{ 3, 80, 2048 }, { 4, 81, 2048 }, { 4, 82, 2048 }, { 5, 83, 2048 }, { 4, 84, 2048 }, { 5, 85, 2048 }, { 5, 86, 2048 }, { 6, 87, 2048 },
|
|
{ 4, 88, 2048 }, { 5, 89, 2048 }, { 5, 90, 2048 }, { 6, 91, 2048 }, { 5, 92, 2048 }, { 6, 93, 2048 }, { 6, 94, 2048 }, { 7, 95, 2048 },
|
|
{ 3, 96, 2048 }, { 4, 97, 2048 }, { 4, 98, 2048 }, { 5, 99, 2048 }, { 4, 100, 2048 }, { 5, 101, 2048 }, { 5, 102, 2048 }, { 6, 103, 2048 },
|
|
{ 4, 104, 2048 }, { 5, 105, 2048 }, { 5, 106, 2048 }, { 6, 107, 2048 }, { 5, 108, 2048 }, { 6, 109, 2048 }, { 6, 110, 2048 }, { 7, 111, 2048 },
|
|
{ 4, 112, 2048 }, { 5, 113, 2048 }, { 5, 114, 2048 }, { 6, 115, 2048 }, { 5, 116, 2048 }, { 6, 117, 2048 }, { 6, 118, 2048 }, { 7, 119, 2048 },
|
|
{ 5, 120, 2048 }, { 6, 121, 2048 }, { 6, 122, 2048 }, { 7, 123, 2048 }, { 6, 124, 2048 }, { 7, 125, 2048 }, { 7, 126, 2048 }, { 8, 127, 2048 },
|
|
{ 2, 128, 2048 }, { 3, 129, 2048 }, { 3, 130, 2048 }, { 4, 131, 2048 }, { 3, 132, 2048 }, { 4, 133, 2048 }, { 4, 134, 2048 }, { 5, 135, 2048 },
|
|
{ 3, 136, 2048 }, { 4, 137, 2048 }, { 4, 138, 2048 }, { 5, 139, 2048 }, { 4, 140, 2048 }, { 5, 141, 2048 }, { 5, 142, 2048 }, { 6, 143, 2048 },
|
|
{ 3, 144, 2048 }, { 4, 145, 2048 }, { 4, 146, 2048 }, { 5, 147, 2048 }, { 4, 148, 2048 }, { 5, 149, 2048 }, { 5, 150, 2048 }, { 6, 151, 2048 },
|
|
{ 4, 152, 2048 }, { 5, 153, 2048 }, { 5, 154, 2048 }, { 6, 155, 2048 }, { 5, 156, 2048 }, { 6, 157, 2048 }, { 6, 158, 2048 }, { 7, 159, 2048 },
|
|
{ 3, 160, 2048 }, { 4, 161, 2048 }, { 4, 162, 2048 }, { 5, 163, 2048 }, { 4, 164, 2048 }, { 5, 165, 2048 }, { 5, 166, 2048 }, { 6, 167, 2048 },
|
|
{ 4, 168, 2048 }, { 5, 169, 2048 }, { 5, 170, 2048 }, { 6, 171, 2048 }, { 5, 172, 2048 }, { 6, 173, 2048 }, { 6, 174, 2048 }, { 7, 175, 2048 },
|
|
{ 4, 176, 2048 }, { 5, 177, 2048 }, { 5, 178, 2048 }, { 6, 179, 2048 }, { 5, 180, 2048 }, { 6, 181, 2048 }, { 6, 182, 2048 }, { 7, 183, 2048 },
|
|
{ 5, 184, 2048 }, { 6, 185, 2048 }, { 6, 186, 2048 }, { 7, 187, 2048 }, { 6, 188, 2048 }, { 7, 189, 2048 }, { 7, 190, 2048 }, { 8, 191, 2048 },
|
|
{ 3, 192, 2048 }, { 4, 193, 2048 }, { 4, 194, 2048 }, { 5, 195, 2048 }, { 4, 196, 2048 }, { 5, 197, 2048 }, { 5, 198, 2048 }, { 6, 199, 2048 },
|
|
{ 4, 200, 2048 }, { 5, 201, 2048 }, { 5, 202, 2048 }, { 6, 203, 2048 }, { 5, 204, 2048 }, { 6, 205, 2048 }, { 6, 206, 2048 }, { 7, 207, 2048 },
|
|
{ 4, 208, 2048 }, { 5, 209, 2048 }, { 5, 210, 2048 }, { 6, 211, 2048 }, { 5, 212, 2048 }, { 6, 213, 2048 }, { 6, 214, 2048 }, { 7, 215, 2048 },
|
|
{ 5, 216, 2048 }, { 6, 217, 2048 }, { 6, 218, 2048 }, { 7, 219, 2048 }, { 6, 220, 2048 }, { 7, 221, 2048 }, { 7, 222, 2048 }, { 8, 223, 2048 },
|
|
{ 4, 224, 2048 }, { 5, 225, 2048 }, { 5, 226, 2048 }, { 6, 227, 2048 }, { 5, 228, 2048 }, { 6, 229, 2048 }, { 6, 230, 2048 }, { 7, 231, 2048 },
|
|
{ 5, 232, 2048 }, { 6, 233, 2048 }, { 6, 234, 2048 }, { 7, 235, 2048 }, { 6, 236, 2048 }, { 7, 237, 2048 }, { 7, 238, 2048 }, { 8, 239, 2048 },
|
|
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{ 5, 408, 2048 }, { 6, 409, 2048 }, { 6, 410, 2048 }, { 7, 411, 2048 }, { 6, 412, 2048 }, { 7, 413, 2048 }, { 7, 414, 2048 }, { 8, 415, 2048 },
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{ 5, 424, 2048 }, { 6, 425, 2048 }, { 6, 426, 2048 }, { 7, 427, 2048 }, { 6, 428, 2048 }, { 7, 429, 2048 }, { 7, 430, 2048 }, { 8, 431, 2048 },
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{ 5, 432, 2048 }, { 6, 433, 2048 }, { 6, 434, 2048 }, { 7, 435, 2048 }, { 6, 436, 2048 }, { 7, 437, 2048 }, { 7, 438, 2048 }, { 8, 439, 2048 },
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{ 6, 440, 2048 }, { 7, 441, 2048 }, { 7, 442, 2048 }, { 8, 443, 2048 }, { 7, 444, 2048 }, { 8, 445, 2048 }, { 8, 446, 2048 }, { 9, 447, 2048 },
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{ 4, 448, 2048 }, { 5, 449, 2048 }, { 5, 450, 2048 }, { 6, 451, 2048 }, { 5, 452, 2048 }, { 6, 453, 2048 }, { 6, 454, 2048 }, { 7, 455, 2048 },
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{ 5, 456, 2048 }, { 6, 457, 2048 }, { 6, 458, 2048 }, { 7, 459, 2048 }, { 6, 460, 2048 }, { 7, 461, 2048 }, { 7, 462, 2048 }, { 8, 463, 2048 },
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{ 5, 464, 2048 }, { 6, 465, 2048 }, { 6, 466, 2048 }, { 7, 467, 2048 }, { 6, 468, 2048 }, { 7, 469, 2048 }, { 7, 470, 2048 }, { 8, 471, 2048 },
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{ 6, 472, 2048 }, { 7, 473, 2048 }, { 7, 474, 2048 }, { 8, 475, 2048 }, { 7, 476, 2048 }, { 8, 477, 2048 }, { 8, 478, 2048 }, { 9, 479, 2048 },
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{ 5, 480, 2048 }, { 6, 481, 2048 }, { 6, 482, 2048 }, { 7, 483, 2048 }, { 6, 484, 2048 }, { 7, 485, 2048 }, { 7, 486, 2048 }, { 8, 487, 2048 },
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{ 6, 488, 2048 }, { 7, 489, 2048 }, { 7, 490, 2048 }, { 8, 491, 2048 }, { 7, 492, 2048 }, { 8, 493, 2048 }, { 8, 494, 2048 }, { 9, 495, 2048 },
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{ 6, 496, 2048 }, { 7, 497, 2048 }, { 7, 498, 2048 }, { 8, 499, 2048 }, { 7, 500, 2048 }, { 8, 501, 2048 }, { 8, 502, 2048 }, { 9, 503, 2048 },
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{ 7, 504, 2048 }, { 8, 505, 2048 }, { 8, 506, 2048 }, { 9, 507, 2048 }, { 8, 508, 2048 }, { 9, 509, 2048 }, { 9, 510, 2048 }, { 10, 511, 2048 },
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{ 2, 512, 2048 }, { 3, 513, 2048 }, { 3, 514, 2048 }, { 4, 515, 2048 }, { 3, 516, 2048 }, { 4, 517, 2048 }, { 4, 518, 2048 }, { 5, 519, 2048 },
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{ 3, 520, 2048 }, { 4, 521, 2048 }, { 4, 522, 2048 }, { 5, 523, 2048 }, { 4, 524, 2048 }, { 5, 525, 2048 }, { 5, 526, 2048 }, { 6, 527, 2048 },
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{ 3, 528, 2048 }, { 4, 529, 2048 }, { 4, 530, 2048 }, { 5, 531, 2048 }, { 4, 532, 2048 }, { 5, 533, 2048 }, { 5, 534, 2048 }, { 6, 535, 2048 },
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{ 4, 536, 2048 }, { 5, 537, 2048 }, { 5, 538, 2048 }, { 6, 539, 2048 }, { 5, 540, 2048 }, { 6, 541, 2048 }, { 6, 542, 2048 }, { 7, 543, 2048 },
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{ 3, 544, 2048 }, { 4, 545, 2048 }, { 4, 546, 2048 }, { 5, 547, 2048 }, { 4, 548, 2048 }, { 5, 549, 2048 }, { 5, 550, 2048 }, { 6, 551, 2048 },
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{ 4, 552, 2048 }, { 5, 553, 2048 }, { 5, 554, 2048 }, { 6, 555, 2048 }, { 5, 556, 2048 }, { 6, 557, 2048 }, { 6, 558, 2048 }, { 7, 559, 2048 },
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{ 4, 560, 2048 }, { 5, 561, 2048 }, { 5, 562, 2048 }, { 6, 563, 2048 }, { 5, 564, 2048 }, { 6, 565, 2048 }, { 6, 566, 2048 }, { 7, 567, 2048 },
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{ 5, 568, 2048 }, { 6, 569, 2048 }, { 6, 570, 2048 }, { 7, 571, 2048 }, { 6, 572, 2048 }, { 7, 573, 2048 }, { 7, 574, 2048 }, { 8, 575, 2048 },
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{ 3, 576, 2048 }, { 4, 577, 2048 }, { 4, 578, 2048 }, { 5, 579, 2048 }, { 4, 580, 2048 }, { 5, 581, 2048 }, { 5, 582, 2048 }, { 6, 583, 2048 },
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{ 4, 584, 2048 }, { 5, 585, 2048 }, { 5, 586, 2048 }, { 6, 587, 2048 }, { 5, 588, 2048 }, { 6, 589, 2048 }, { 6, 590, 2048 }, { 7, 591, 2048 },
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{ 4, 592, 2048 }, { 5, 593, 2048 }, { 5, 594, 2048 }, { 6, 595, 2048 }, { 5, 596, 2048 }, { 6, 597, 2048 }, { 6, 598, 2048 }, { 7, 599, 2048 },
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{ 5, 600, 2048 }, { 6, 601, 2048 }, { 6, 602, 2048 }, { 7, 603, 2048 }, { 6, 604, 2048 }, { 7, 605, 2048 }, { 7, 606, 2048 }, { 8, 607, 2048 },
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{ 4, 608, 2048 }, { 5, 609, 2048 }, { 5, 610, 2048 }, { 6, 611, 2048 }, { 5, 612, 2048 }, { 6, 613, 2048 }, { 6, 614, 2048 }, { 7, 615, 2048 },
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{ 5, 616, 2048 }, { 6, 617, 2048 }, { 6, 618, 2048 }, { 7, 619, 2048 }, { 6, 620, 2048 }, { 7, 621, 2048 }, { 7, 622, 2048 }, { 8, 623, 2048 },
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{ 5, 624, 2048 }, { 6, 625, 2048 }, { 6, 626, 2048 }, { 7, 627, 2048 }, { 6, 628, 2048 }, { 7, 629, 2048 }, { 7, 630, 2048 }, { 8, 631, 2048 },
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{ 6, 632, 2048 }, { 7, 633, 2048 }, { 7, 634, 2048 }, { 8, 635, 2048 }, { 7, 636, 2048 }, { 8, 637, 2048 }, { 8, 638, 2048 }, { 9, 639, 2048 },
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{ 3, 640, 2048 }, { 4, 641, 2048 }, { 4, 642, 2048 }, { 5, 643, 2048 }, { 4, 644, 2048 }, { 5, 645, 2048 }, { 5, 646, 2048 }, { 6, 647, 2048 },
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{ 4, 648, 2048 }, { 5, 649, 2048 }, { 5, 650, 2048 }, { 6, 651, 2048 }, { 5, 652, 2048 }, { 6, 653, 2048 }, { 6, 654, 2048 }, { 7, 655, 2048 },
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{ 4, 656, 2048 }, { 5, 657, 2048 }, { 5, 658, 2048 }, { 6, 659, 2048 }, { 5, 660, 2048 }, { 6, 661, 2048 }, { 6, 662, 2048 }, { 7, 663, 2048 },
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{ 5, 664, 2048 }, { 6, 665, 2048 }, { 6, 666, 2048 }, { 7, 667, 2048 }, { 6, 668, 2048 }, { 7, 669, 2048 }, { 7, 670, 2048 }, { 8, 671, 2048 },
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{ 4, 672, 2048 }, { 5, 673, 2048 }, { 5, 674, 2048 }, { 6, 675, 2048 }, { 5, 676, 2048 }, { 6, 677, 2048 }, { 6, 678, 2048 }, { 7, 679, 2048 },
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{ 5, 680, 2048 }, { 6, 681, 2048 }, { 6, 682, 2048 }, { 7, 683, 2048 }, { 6, 684, 2048 }, { 7, 685, 2048 }, { 7, 686, 2048 }, { 8, 687, 2048 },
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{ 5, 688, 2048 }, { 6, 689, 2048 }, { 6, 690, 2048 }, { 7, 691, 2048 }, { 6, 692, 2048 }, { 7, 693, 2048 }, { 7, 694, 2048 }, { 8, 695, 2048 },
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{ 6, 696, 2048 }, { 7, 697, 2048 }, { 7, 698, 2048 }, { 8, 699, 2048 }, { 7, 700, 2048 }, { 8, 701, 2048 }, { 8, 702, 2048 }, { 9, 703, 2048 },
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{ 4, 704, 2048 }, { 5, 705, 2048 }, { 5, 706, 2048 }, { 6, 707, 2048 }, { 5, 708, 2048 }, { 6, 709, 2048 }, { 6, 710, 2048 }, { 7, 711, 2048 },
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{ 5, 712, 2048 }, { 6, 713, 2048 }, { 6, 714, 2048 }, { 7, 715, 2048 }, { 6, 716, 2048 }, { 7, 717, 2048 }, { 7, 718, 2048 }, { 8, 719, 2048 },
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{ 5, 720, 2048 }, { 6, 721, 2048 }, { 6, 722, 2048 }, { 7, 723, 2048 }, { 6, 724, 2048 }, { 7, 725, 2048 }, { 7, 726, 2048 }, { 8, 727, 2048 },
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{ 6, 728, 2048 }, { 7, 729, 2048 }, { 7, 730, 2048 }, { 8, 731, 2048 }, { 7, 732, 2048 }, { 8, 733, 2048 }, { 8, 734, 2048 }, { 9, 735, 2048 },
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{ 5, 736, 2048 }, { 6, 737, 2048 }, { 6, 738, 2048 }, { 7, 739, 2048 }, { 6, 740, 2048 }, { 7, 741, 2048 }, { 7, 742, 2048 }, { 8, 743, 2048 },
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{ 6, 744, 2048 }, { 7, 745, 2048 }, { 7, 746, 2048 }, { 8, 747, 2048 }, { 7, 748, 2048 }, { 8, 749, 2048 }, { 8, 750, 2048 }, { 9, 751, 2048 },
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{ 6, 752, 2048 }, { 7, 753, 2048 }, { 7, 754, 2048 }, { 8, 755, 2048 }, { 7, 756, 2048 }, { 8, 757, 2048 }, { 8, 758, 2048 }, { 9, 759, 2048 },
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{ 7, 760, 2048 }, { 8, 761, 2048 }, { 8, 762, 2048 }, { 9, 763, 2048 }, { 8, 764, 2048 }, { 9, 765, 2048 }, { 9, 766, 2048 }, { 10, 767, 2048 },
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{ 3, 768, 2048 }, { 4, 769, 2048 }, { 4, 770, 2048 }, { 5, 771, 2048 }, { 4, 772, 2048 }, { 5, 773, 2048 }, { 5, 774, 2048 }, { 6, 775, 2048 },
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{ 4, 776, 2048 }, { 5, 777, 2048 }, { 5, 778, 2048 }, { 6, 779, 2048 }, { 5, 780, 2048 }, { 6, 781, 2048 }, { 6, 782, 2048 }, { 7, 783, 2048 },
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{ 4, 784, 2048 }, { 5, 785, 2048 }, { 5, 786, 2048 }, { 6, 787, 2048 }, { 5, 788, 2048 }, { 6, 789, 2048 }, { 6, 790, 2048 }, { 7, 791, 2048 },
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{ 5, 792, 2048 }, { 6, 793, 2048 }, { 6, 794, 2048 }, { 7, 795, 2048 }, { 6, 796, 2048 }, { 7, 797, 2048 }, { 7, 798, 2048 }, { 8, 799, 2048 },
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{ 4, 800, 2048 }, { 5, 801, 2048 }, { 5, 802, 2048 }, { 6, 803, 2048 }, { 5, 804, 2048 }, { 6, 805, 2048 }, { 6, 806, 2048 }, { 7, 807, 2048 },
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{ 5, 808, 2048 }, { 6, 809, 2048 }, { 6, 810, 2048 }, { 7, 811, 2048 }, { 6, 812, 2048 }, { 7, 813, 2048 }, { 7, 814, 2048 }, { 8, 815, 2048 },
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{ 5, 816, 2048 }, { 6, 817, 2048 }, { 6, 818, 2048 }, { 7, 819, 2048 }, { 6, 820, 2048 }, { 7, 821, 2048 }, { 7, 822, 2048 }, { 8, 823, 2048 },
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{ 6, 824, 2048 }, { 7, 825, 2048 }, { 7, 826, 2048 }, { 8, 827, 2048 }, { 7, 828, 2048 }, { 8, 829, 2048 }, { 8, 830, 2048 }, { 9, 831, 2048 },
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{ 4, 832, 2048 }, { 5, 833, 2048 }, { 5, 834, 2048 }, { 6, 835, 2048 }, { 5, 836, 2048 }, { 6, 837, 2048 }, { 6, 838, 2048 }, { 7, 839, 2048 },
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{ 5, 840, 2048 }, { 6, 841, 2048 }, { 6, 842, 2048 }, { 7, 843, 2048 }, { 6, 844, 2048 }, { 7, 845, 2048 }, { 7, 846, 2048 }, { 8, 847, 2048 },
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{ 5, 848, 2048 }, { 6, 849, 2048 }, { 6, 850, 2048 }, { 7, 851, 2048 }, { 6, 852, 2048 }, { 7, 853, 2048 }, { 7, 854, 2048 }, { 8, 855, 2048 },
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{ 6, 856, 2048 }, { 7, 857, 2048 }, { 7, 858, 2048 }, { 8, 859, 2048 }, { 7, 860, 2048 }, { 8, 861, 2048 }, { 8, 862, 2048 }, { 9, 863, 2048 },
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{ 5, 864, 2048 }, { 6, 865, 2048 }, { 6, 866, 2048 }, { 7, 867, 2048 }, { 6, 868, 2048 }, { 7, 869, 2048 }, { 7, 870, 2048 }, { 8, 871, 2048 },
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{ 6, 872, 2048 }, { 7, 873, 2048 }, { 7, 874, 2048 }, { 8, 875, 2048 }, { 7, 876, 2048 }, { 8, 877, 2048 }, { 8, 878, 2048 }, { 9, 879, 2048 },
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{ 6, 880, 2048 }, { 7, 881, 2048 }, { 7, 882, 2048 }, { 8, 883, 2048 }, { 7, 884, 2048 }, { 8, 885, 2048 }, { 8, 886, 2048 }, { 9, 887, 2048 },
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{ 7, 888, 2048 }, { 8, 889, 2048 }, { 8, 890, 2048 }, { 9, 891, 2048 }, { 8, 892, 2048 }, { 9, 893, 2048 }, { 9, 894, 2048 }, { 10, 895, 2048 },
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{ 4, 896, 2048 }, { 5, 897, 2048 }, { 5, 898, 2048 }, { 6, 899, 2048 }, { 5, 900, 2048 }, { 6, 901, 2048 }, { 6, 902, 2048 }, { 7, 903, 2048 },
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{ 5, 904, 2048 }, { 6, 905, 2048 }, { 6, 906, 2048 }, { 7, 907, 2048 }, { 6, 908, 2048 }, { 7, 909, 2048 }, { 7, 910, 2048 }, { 8, 911, 2048 },
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{ 5, 912, 2048 }, { 6, 913, 2048 }, { 6, 914, 2048 }, { 7, 915, 2048 }, { 6, 916, 2048 }, { 7, 917, 2048 }, { 7, 918, 2048 }, { 8, 919, 2048 },
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{ 6, 920, 2048 }, { 7, 921, 2048 }, { 7, 922, 2048 }, { 8, 923, 2048 }, { 7, 924, 2048 }, { 8, 925, 2048 }, { 8, 926, 2048 }, { 9, 927, 2048 },
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{ 5, 928, 2048 }, { 6, 929, 2048 }, { 6, 930, 2048 }, { 7, 931, 2048 }, { 6, 932, 2048 }, { 7, 933, 2048 }, { 7, 934, 2048 }, { 8, 935, 2048 },
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{ 6, 936, 2048 }, { 7, 937, 2048 }, { 7, 938, 2048 }, { 8, 939, 2048 }, { 7, 940, 2048 }, { 8, 941, 2048 }, { 8, 942, 2048 }, { 9, 943, 2048 },
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{ 6, 944, 2048 }, { 7, 945, 2048 }, { 7, 946, 2048 }, { 8, 947, 2048 }, { 7, 948, 2048 }, { 8, 949, 2048 }, { 8, 950, 2048 }, { 9, 951, 2048 },
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{ 7, 952, 2048 }, { 8, 953, 2048 }, { 8, 954, 2048 }, { 9, 955, 2048 }, { 8, 956, 2048 }, { 9, 957, 2048 }, { 9, 958, 2048 }, { 10, 959, 2048 },
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{ 5, 960, 2048 }, { 6, 961, 2048 }, { 6, 962, 2048 }, { 7, 963, 2048 }, { 6, 964, 2048 }, { 7, 965, 2048 }, { 7, 966, 2048 }, { 8, 967, 2048 },
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{ 6, 968, 2048 }, { 7, 969, 2048 }, { 7, 970, 2048 }, { 8, 971, 2048 }, { 7, 972, 2048 }, { 8, 973, 2048 }, { 8, 974, 2048 }, { 9, 975, 2048 },
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{ 6, 976, 2048 }, { 7, 977, 2048 }, { 7, 978, 2048 }, { 8, 979, 2048 }, { 7, 980, 2048 }, { 8, 981, 2048 }, { 8, 982, 2048 }, { 9, 983, 2048 },
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{ 7, 984, 2048 }, { 8, 985, 2048 }, { 8, 986, 2048 }, { 9, 987, 2048 }, { 8, 988, 2048 }, { 9, 989, 2048 }, { 9, 990, 2048 }, { 10, 991, 2048 },
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{ 6, 992, 2048 }, { 7, 993, 2048 }, { 7, 994, 2048 }, { 8, 995, 2048 }, { 7, 996, 2048 }, { 8, 997, 2048 }, { 8, 998, 2048 }, { 9, 999, 2048 },
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{ 7, 1000, 2048 }, { 8, 1001, 2048 }, { 8, 1002, 2048 }, { 9, 1003, 2048 }, { 8, 1004, 2048 }, { 9, 1005, 2048 }, { 9, 1006, 2048 }, { 10, 1007, 2048 },
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{ 7, 1008, 2048 }, { 8, 1009, 2048 }, { 8, 1010, 2048 }, { 9, 1011, 2048 }, { 8, 1012, 2048 }, { 9, 1013, 2048 }, { 9, 1014, 2048 }, { 10, 1015, 2048 },
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{ 8, 1016, 2048 }, { 9, 1017, 2048 }, { 9, 1018, 2048 }, { 10, 1019, 2048 }, { 9, 1020, 2048 }, { 10, 1021, 2048 }, { 10, 1022, 2048 }, { 11, 1023, 2048 },
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{ 2, 1024, 2048 }, { 3, 1025, 2048 }, { 3, 1026, 2048 }, { 4, 1027, 2048 }, { 3, 1028, 2048 }, { 4, 1029, 2048 }, { 4, 1030, 2048 }, { 5, 1031, 2048 },
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{ 3, 1032, 2048 }, { 4, 1033, 2048 }, { 4, 1034, 2048 }, { 5, 1035, 2048 }, { 4, 1036, 2048 }, { 5, 1037, 2048 }, { 5, 1038, 2048 }, { 6, 1039, 2048 },
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{ 3, 1040, 2048 }, { 4, 1041, 2048 }, { 4, 1042, 2048 }, { 5, 1043, 2048 }, { 4, 1044, 2048 }, { 5, 1045, 2048 }, { 5, 1046, 2048 }, { 6, 1047, 2048 },
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{ 4, 1048, 2048 }, { 5, 1049, 2048 }, { 5, 1050, 2048 }, { 6, 1051, 2048 }, { 5, 1052, 2048 }, { 6, 1053, 2048 }, { 6, 1054, 2048 }, { 7, 1055, 2048 },
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{ 3, 1056, 2048 }, { 4, 1057, 2048 }, { 4, 1058, 2048 }, { 5, 1059, 2048 }, { 4, 1060, 2048 }, { 5, 1061, 2048 }, { 5, 1062, 2048 }, { 6, 1063, 2048 },
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{ 4, 1064, 2048 }, { 5, 1065, 2048 }, { 5, 1066, 2048 }, { 6, 1067, 2048 }, { 5, 1068, 2048 }, { 6, 1069, 2048 }, { 6, 1070, 2048 }, { 7, 1071, 2048 },
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{ 4, 1072, 2048 }, { 5, 1073, 2048 }, { 5, 1074, 2048 }, { 6, 1075, 2048 }, { 5, 1076, 2048 }, { 6, 1077, 2048 }, { 6, 1078, 2048 }, { 7, 1079, 2048 },
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{ 5, 1080, 2048 }, { 6, 1081, 2048 }, { 6, 1082, 2048 }, { 7, 1083, 2048 }, { 6, 1084, 2048 }, { 7, 1085, 2048 }, { 7, 1086, 2048 }, { 8, 1087, 2048 },
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{ 3, 1088, 2048 }, { 4, 1089, 2048 }, { 4, 1090, 2048 }, { 5, 1091, 2048 }, { 4, 1092, 2048 }, { 5, 1093, 2048 }, { 5, 1094, 2048 }, { 6, 1095, 2048 },
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{ 4, 1096, 2048 }, { 5, 1097, 2048 }, { 5, 1098, 2048 }, { 6, 1099, 2048 }, { 5, 1100, 2048 }, { 6, 1101, 2048 }, { 6, 1102, 2048 }, { 7, 1103, 2048 },
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{ 4, 1104, 2048 }, { 5, 1105, 2048 }, { 5, 1106, 2048 }, { 6, 1107, 2048 }, { 5, 1108, 2048 }, { 6, 1109, 2048 }, { 6, 1110, 2048 }, { 7, 1111, 2048 },
|
|
{ 5, 1112, 2048 }, { 6, 1113, 2048 }, { 6, 1114, 2048 }, { 7, 1115, 2048 }, { 6, 1116, 2048 }, { 7, 1117, 2048 }, { 7, 1118, 2048 }, { 8, 1119, 2048 },
|
|
{ 4, 1120, 2048 }, { 5, 1121, 2048 }, { 5, 1122, 2048 }, { 6, 1123, 2048 }, { 5, 1124, 2048 }, { 6, 1125, 2048 }, { 6, 1126, 2048 }, { 7, 1127, 2048 },
|
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{ 5, 1128, 2048 }, { 6, 1129, 2048 }, { 6, 1130, 2048 }, { 7, 1131, 2048 }, { 6, 1132, 2048 }, { 7, 1133, 2048 }, { 7, 1134, 2048 }, { 8, 1135, 2048 },
|
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{ 5, 1136, 2048 }, { 6, 1137, 2048 }, { 6, 1138, 2048 }, { 7, 1139, 2048 }, { 6, 1140, 2048 }, { 7, 1141, 2048 }, { 7, 1142, 2048 }, { 8, 1143, 2048 },
|
|
{ 6, 1144, 2048 }, { 7, 1145, 2048 }, { 7, 1146, 2048 }, { 8, 1147, 2048 }, { 7, 1148, 2048 }, { 8, 1149, 2048 }, { 8, 1150, 2048 }, { 9, 1151, 2048 },
|
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{ 3, 1152, 2048 }, { 4, 1153, 2048 }, { 4, 1154, 2048 }, { 5, 1155, 2048 }, { 4, 1156, 2048 }, { 5, 1157, 2048 }, { 5, 1158, 2048 }, { 6, 1159, 2048 },
|
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{ 4, 1160, 2048 }, { 5, 1161, 2048 }, { 5, 1162, 2048 }, { 6, 1163, 2048 }, { 5, 1164, 2048 }, { 6, 1165, 2048 }, { 6, 1166, 2048 }, { 7, 1167, 2048 },
|
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{ 4, 1168, 2048 }, { 5, 1169, 2048 }, { 5, 1170, 2048 }, { 6, 1171, 2048 }, { 5, 1172, 2048 }, { 6, 1173, 2048 }, { 6, 1174, 2048 }, { 7, 1175, 2048 },
|
|
{ 5, 1176, 2048 }, { 6, 1177, 2048 }, { 6, 1178, 2048 }, { 7, 1179, 2048 }, { 6, 1180, 2048 }, { 7, 1181, 2048 }, { 7, 1182, 2048 }, { 8, 1183, 2048 },
|
|
{ 4, 1184, 2048 }, { 5, 1185, 2048 }, { 5, 1186, 2048 }, { 6, 1187, 2048 }, { 5, 1188, 2048 }, { 6, 1189, 2048 }, { 6, 1190, 2048 }, { 7, 1191, 2048 },
|
|
{ 5, 1192, 2048 }, { 6, 1193, 2048 }, { 6, 1194, 2048 }, { 7, 1195, 2048 }, { 6, 1196, 2048 }, { 7, 1197, 2048 }, { 7, 1198, 2048 }, { 8, 1199, 2048 },
|
|
{ 5, 1200, 2048 }, { 6, 1201, 2048 }, { 6, 1202, 2048 }, { 7, 1203, 2048 }, { 6, 1204, 2048 }, { 7, 1205, 2048 }, { 7, 1206, 2048 }, { 8, 1207, 2048 },
|
|
{ 6, 1208, 2048 }, { 7, 1209, 2048 }, { 7, 1210, 2048 }, { 8, 1211, 2048 }, { 7, 1212, 2048 }, { 8, 1213, 2048 }, { 8, 1214, 2048 }, { 9, 1215, 2048 },
|
|
{ 4, 1216, 2048 }, { 5, 1217, 2048 }, { 5, 1218, 2048 }, { 6, 1219, 2048 }, { 5, 1220, 2048 }, { 6, 1221, 2048 }, { 6, 1222, 2048 }, { 7, 1223, 2048 },
|
|
{ 5, 1224, 2048 }, { 6, 1225, 2048 }, { 6, 1226, 2048 }, { 7, 1227, 2048 }, { 6, 1228, 2048 }, { 7, 1229, 2048 }, { 7, 1230, 2048 }, { 8, 1231, 2048 },
|
|
{ 5, 1232, 2048 }, { 6, 1233, 2048 }, { 6, 1234, 2048 }, { 7, 1235, 2048 }, { 6, 1236, 2048 }, { 7, 1237, 2048 }, { 7, 1238, 2048 }, { 8, 1239, 2048 },
|
|
{ 6, 1240, 2048 }, { 7, 1241, 2048 }, { 7, 1242, 2048 }, { 8, 1243, 2048 }, { 7, 1244, 2048 }, { 8, 1245, 2048 }, { 8, 1246, 2048 }, { 9, 1247, 2048 },
|
|
{ 5, 1248, 2048 }, { 6, 1249, 2048 }, { 6, 1250, 2048 }, { 7, 1251, 2048 }, { 6, 1252, 2048 }, { 7, 1253, 2048 }, { 7, 1254, 2048 }, { 8, 1255, 2048 },
|
|
{ 6, 1256, 2048 }, { 7, 1257, 2048 }, { 7, 1258, 2048 }, { 8, 1259, 2048 }, { 7, 1260, 2048 }, { 8, 1261, 2048 }, { 8, 1262, 2048 }, { 9, 1263, 2048 },
|
|
{ 6, 1264, 2048 }, { 7, 1265, 2048 }, { 7, 1266, 2048 }, { 8, 1267, 2048 }, { 7, 1268, 2048 }, { 8, 1269, 2048 }, { 8, 1270, 2048 }, { 9, 1271, 2048 },
|
|
{ 7, 1272, 2048 }, { 8, 1273, 2048 }, { 8, 1274, 2048 }, { 9, 1275, 2048 }, { 8, 1276, 2048 }, { 9, 1277, 2048 }, { 9, 1278, 2048 }, { 10, 1279, 2048 },
|
|
{ 3, 1280, 2048 }, { 4, 1281, 2048 }, { 4, 1282, 2048 }, { 5, 1283, 2048 }, { 4, 1284, 2048 }, { 5, 1285, 2048 }, { 5, 1286, 2048 }, { 6, 1287, 2048 },
|
|
{ 4, 1288, 2048 }, { 5, 1289, 2048 }, { 5, 1290, 2048 }, { 6, 1291, 2048 }, { 5, 1292, 2048 }, { 6, 1293, 2048 }, { 6, 1294, 2048 }, { 7, 1295, 2048 },
|
|
{ 4, 1296, 2048 }, { 5, 1297, 2048 }, { 5, 1298, 2048 }, { 6, 1299, 2048 }, { 5, 1300, 2048 }, { 6, 1301, 2048 }, { 6, 1302, 2048 }, { 7, 1303, 2048 },
|
|
{ 5, 1304, 2048 }, { 6, 1305, 2048 }, { 6, 1306, 2048 }, { 7, 1307, 2048 }, { 6, 1308, 2048 }, { 7, 1309, 2048 }, { 7, 1310, 2048 }, { 8, 1311, 2048 },
|
|
{ 4, 1312, 2048 }, { 5, 1313, 2048 }, { 5, 1314, 2048 }, { 6, 1315, 2048 }, { 5, 1316, 2048 }, { 6, 1317, 2048 }, { 6, 1318, 2048 }, { 7, 1319, 2048 },
|
|
{ 5, 1320, 2048 }, { 6, 1321, 2048 }, { 6, 1322, 2048 }, { 7, 1323, 2048 }, { 6, 1324, 2048 }, { 7, 1325, 2048 }, { 7, 1326, 2048 }, { 8, 1327, 2048 },
|
|
{ 5, 1328, 2048 }, { 6, 1329, 2048 }, { 6, 1330, 2048 }, { 7, 1331, 2048 }, { 6, 1332, 2048 }, { 7, 1333, 2048 }, { 7, 1334, 2048 }, { 8, 1335, 2048 },
|
|
{ 6, 1336, 2048 }, { 7, 1337, 2048 }, { 7, 1338, 2048 }, { 8, 1339, 2048 }, { 7, 1340, 2048 }, { 8, 1341, 2048 }, { 8, 1342, 2048 }, { 9, 1343, 2048 },
|
|
{ 4, 1344, 2048 }, { 5, 1345, 2048 }, { 5, 1346, 2048 }, { 6, 1347, 2048 }, { 5, 1348, 2048 }, { 6, 1349, 2048 }, { 6, 1350, 2048 }, { 7, 1351, 2048 },
|
|
{ 5, 1352, 2048 }, { 6, 1353, 2048 }, { 6, 1354, 2048 }, { 7, 1355, 2048 }, { 6, 1356, 2048 }, { 7, 1357, 2048 }, { 7, 1358, 2048 }, { 8, 1359, 2048 },
|
|
{ 5, 1360, 2048 }, { 6, 1361, 2048 }, { 6, 1362, 2048 }, { 7, 1363, 2048 }, { 6, 1364, 2048 }, { 7, 1365, 2048 }, { 7, 1366, 2048 }, { 8, 1367, 2048 },
|
|
{ 6, 1368, 2048 }, { 7, 1369, 2048 }, { 7, 1370, 2048 }, { 8, 1371, 2048 }, { 7, 1372, 2048 }, { 8, 1373, 2048 }, { 8, 1374, 2048 }, { 9, 1375, 2048 },
|
|
{ 5, 1376, 2048 }, { 6, 1377, 2048 }, { 6, 1378, 2048 }, { 7, 1379, 2048 }, { 6, 1380, 2048 }, { 7, 1381, 2048 }, { 7, 1382, 2048 }, { 8, 1383, 2048 },
|
|
{ 6, 1384, 2048 }, { 7, 1385, 2048 }, { 7, 1386, 2048 }, { 8, 1387, 2048 }, { 7, 1388, 2048 }, { 8, 1389, 2048 }, { 8, 1390, 2048 }, { 9, 1391, 2048 },
|
|
{ 6, 1392, 2048 }, { 7, 1393, 2048 }, { 7, 1394, 2048 }, { 8, 1395, 2048 }, { 7, 1396, 2048 }, { 8, 1397, 2048 }, { 8, 1398, 2048 }, { 9, 1399, 2048 },
|
|
{ 7, 1400, 2048 }, { 8, 1401, 2048 }, { 8, 1402, 2048 }, { 9, 1403, 2048 }, { 8, 1404, 2048 }, { 9, 1405, 2048 }, { 9, 1406, 2048 }, { 10, 1407, 2048 },
|
|
{ 4, 1408, 2048 }, { 5, 1409, 2048 }, { 5, 1410, 2048 }, { 6, 1411, 2048 }, { 5, 1412, 2048 }, { 6, 1413, 2048 }, { 6, 1414, 2048 }, { 7, 1415, 2048 },
|
|
{ 5, 1416, 2048 }, { 6, 1417, 2048 }, { 6, 1418, 2048 }, { 7, 1419, 2048 }, { 6, 1420, 2048 }, { 7, 1421, 2048 }, { 7, 1422, 2048 }, { 8, 1423, 2048 },
|
|
{ 5, 1424, 2048 }, { 6, 1425, 2048 }, { 6, 1426, 2048 }, { 7, 1427, 2048 }, { 6, 1428, 2048 }, { 7, 1429, 2048 }, { 7, 1430, 2048 }, { 8, 1431, 2048 },
|
|
{ 6, 1432, 2048 }, { 7, 1433, 2048 }, { 7, 1434, 2048 }, { 8, 1435, 2048 }, { 7, 1436, 2048 }, { 8, 1437, 2048 }, { 8, 1438, 2048 }, { 9, 1439, 2048 },
|
|
{ 5, 1440, 2048 }, { 6, 1441, 2048 }, { 6, 1442, 2048 }, { 7, 1443, 2048 }, { 6, 1444, 2048 }, { 7, 1445, 2048 }, { 7, 1446, 2048 }, { 8, 1447, 2048 },
|
|
{ 6, 1448, 2048 }, { 7, 1449, 2048 }, { 7, 1450, 2048 }, { 8, 1451, 2048 }, { 7, 1452, 2048 }, { 8, 1453, 2048 }, { 8, 1454, 2048 }, { 9, 1455, 2048 },
|
|
{ 6, 1456, 2048 }, { 7, 1457, 2048 }, { 7, 1458, 2048 }, { 8, 1459, 2048 }, { 7, 1460, 2048 }, { 8, 1461, 2048 }, { 8, 1462, 2048 }, { 9, 1463, 2048 },
|
|
{ 7, 1464, 2048 }, { 8, 1465, 2048 }, { 8, 1466, 2048 }, { 9, 1467, 2048 }, { 8, 1468, 2048 }, { 9, 1469, 2048 }, { 9, 1470, 2048 }, { 10, 1471, 2048 },
|
|
{ 5, 1472, 2048 }, { 6, 1473, 2048 }, { 6, 1474, 2048 }, { 7, 1475, 2048 }, { 6, 1476, 2048 }, { 7, 1477, 2048 }, { 7, 1478, 2048 }, { 8, 1479, 2048 },
|
|
{ 6, 1480, 2048 }, { 7, 1481, 2048 }, { 7, 1482, 2048 }, { 8, 1483, 2048 }, { 7, 1484, 2048 }, { 8, 1485, 2048 }, { 8, 1486, 2048 }, { 9, 1487, 2048 },
|
|
{ 6, 1488, 2048 }, { 7, 1489, 2048 }, { 7, 1490, 2048 }, { 8, 1491, 2048 }, { 7, 1492, 2048 }, { 8, 1493, 2048 }, { 8, 1494, 2048 }, { 9, 1495, 2048 },
|
|
{ 7, 1496, 2048 }, { 8, 1497, 2048 }, { 8, 1498, 2048 }, { 9, 1499, 2048 }, { 8, 1500, 2048 }, { 9, 1501, 2048 }, { 9, 1502, 2048 }, { 10, 1503, 2048 },
|
|
{ 6, 1504, 2048 }, { 7, 1505, 2048 }, { 7, 1506, 2048 }, { 8, 1507, 2048 }, { 7, 1508, 2048 }, { 8, 1509, 2048 }, { 8, 1510, 2048 }, { 9, 1511, 2048 },
|
|
{ 7, 1512, 2048 }, { 8, 1513, 2048 }, { 8, 1514, 2048 }, { 9, 1515, 2048 }, { 8, 1516, 2048 }, { 9, 1517, 2048 }, { 9, 1518, 2048 }, { 10, 1519, 2048 },
|
|
{ 7, 1520, 2048 }, { 8, 1521, 2048 }, { 8, 1522, 2048 }, { 9, 1523, 2048 }, { 8, 1524, 2048 }, { 9, 1525, 2048 }, { 9, 1526, 2048 }, { 10, 1527, 2048 },
|
|
{ 8, 1528, 2048 }, { 9, 1529, 2048 }, { 9, 1530, 2048 }, { 10, 1531, 2048 }, { 9, 1532, 2048 }, { 10, 1533, 2048 }, { 10, 1534, 2048 }, { 11, 1535, 2048 },
|
|
{ 3, 1536, 2048 }, { 4, 1537, 2048 }, { 4, 1538, 2048 }, { 5, 1539, 2048 }, { 4, 1540, 2048 }, { 5, 1541, 2048 }, { 5, 1542, 2048 }, { 6, 1543, 2048 },
|
|
{ 4, 1544, 2048 }, { 5, 1545, 2048 }, { 5, 1546, 2048 }, { 6, 1547, 2048 }, { 5, 1548, 2048 }, { 6, 1549, 2048 }, { 6, 1550, 2048 }, { 7, 1551, 2048 },
|
|
{ 4, 1552, 2048 }, { 5, 1553, 2048 }, { 5, 1554, 2048 }, { 6, 1555, 2048 }, { 5, 1556, 2048 }, { 6, 1557, 2048 }, { 6, 1558, 2048 }, { 7, 1559, 2048 },
|
|
{ 5, 1560, 2048 }, { 6, 1561, 2048 }, { 6, 1562, 2048 }, { 7, 1563, 2048 }, { 6, 1564, 2048 }, { 7, 1565, 2048 }, { 7, 1566, 2048 }, { 8, 1567, 2048 },
|
|
{ 4, 1568, 2048 }, { 5, 1569, 2048 }, { 5, 1570, 2048 }, { 6, 1571, 2048 }, { 5, 1572, 2048 }, { 6, 1573, 2048 }, { 6, 1574, 2048 }, { 7, 1575, 2048 },
|
|
{ 5, 1576, 2048 }, { 6, 1577, 2048 }, { 6, 1578, 2048 }, { 7, 1579, 2048 }, { 6, 1580, 2048 }, { 7, 1581, 2048 }, { 7, 1582, 2048 }, { 8, 1583, 2048 },
|
|
{ 5, 1584, 2048 }, { 6, 1585, 2048 }, { 6, 1586, 2048 }, { 7, 1587, 2048 }, { 6, 1588, 2048 }, { 7, 1589, 2048 }, { 7, 1590, 2048 }, { 8, 1591, 2048 },
|
|
{ 6, 1592, 2048 }, { 7, 1593, 2048 }, { 7, 1594, 2048 }, { 8, 1595, 2048 }, { 7, 1596, 2048 }, { 8, 1597, 2048 }, { 8, 1598, 2048 }, { 9, 1599, 2048 },
|
|
{ 4, 1600, 2048 }, { 5, 1601, 2048 }, { 5, 1602, 2048 }, { 6, 1603, 2048 }, { 5, 1604, 2048 }, { 6, 1605, 2048 }, { 6, 1606, 2048 }, { 7, 1607, 2048 },
|
|
{ 5, 1608, 2048 }, { 6, 1609, 2048 }, { 6, 1610, 2048 }, { 7, 1611, 2048 }, { 6, 1612, 2048 }, { 7, 1613, 2048 }, { 7, 1614, 2048 }, { 8, 1615, 2048 },
|
|
{ 5, 1616, 2048 }, { 6, 1617, 2048 }, { 6, 1618, 2048 }, { 7, 1619, 2048 }, { 6, 1620, 2048 }, { 7, 1621, 2048 }, { 7, 1622, 2048 }, { 8, 1623, 2048 },
|
|
{ 6, 1624, 2048 }, { 7, 1625, 2048 }, { 7, 1626, 2048 }, { 8, 1627, 2048 }, { 7, 1628, 2048 }, { 8, 1629, 2048 }, { 8, 1630, 2048 }, { 9, 1631, 2048 },
|
|
{ 5, 1632, 2048 }, { 6, 1633, 2048 }, { 6, 1634, 2048 }, { 7, 1635, 2048 }, { 6, 1636, 2048 }, { 7, 1637, 2048 }, { 7, 1638, 2048 }, { 8, 1639, 2048 },
|
|
{ 6, 1640, 2048 }, { 7, 1641, 2048 }, { 7, 1642, 2048 }, { 8, 1643, 2048 }, { 7, 1644, 2048 }, { 8, 1645, 2048 }, { 8, 1646, 2048 }, { 9, 1647, 2048 },
|
|
{ 6, 1648, 2048 }, { 7, 1649, 2048 }, { 7, 1650, 2048 }, { 8, 1651, 2048 }, { 7, 1652, 2048 }, { 8, 1653, 2048 }, { 8, 1654, 2048 }, { 9, 1655, 2048 },
|
|
{ 7, 1656, 2048 }, { 8, 1657, 2048 }, { 8, 1658, 2048 }, { 9, 1659, 2048 }, { 8, 1660, 2048 }, { 9, 1661, 2048 }, { 9, 1662, 2048 }, { 10, 1663, 2048 },
|
|
{ 4, 1664, 2048 }, { 5, 1665, 2048 }, { 5, 1666, 2048 }, { 6, 1667, 2048 }, { 5, 1668, 2048 }, { 6, 1669, 2048 }, { 6, 1670, 2048 }, { 7, 1671, 2048 },
|
|
{ 5, 1672, 2048 }, { 6, 1673, 2048 }, { 6, 1674, 2048 }, { 7, 1675, 2048 }, { 6, 1676, 2048 }, { 7, 1677, 2048 }, { 7, 1678, 2048 }, { 8, 1679, 2048 },
|
|
{ 5, 1680, 2048 }, { 6, 1681, 2048 }, { 6, 1682, 2048 }, { 7, 1683, 2048 }, { 6, 1684, 2048 }, { 7, 1685, 2048 }, { 7, 1686, 2048 }, { 8, 1687, 2048 },
|
|
{ 6, 1688, 2048 }, { 7, 1689, 2048 }, { 7, 1690, 2048 }, { 8, 1691, 2048 }, { 7, 1692, 2048 }, { 8, 1693, 2048 }, { 8, 1694, 2048 }, { 9, 1695, 2048 },
|
|
{ 5, 1696, 2048 }, { 6, 1697, 2048 }, { 6, 1698, 2048 }, { 7, 1699, 2048 }, { 6, 1700, 2048 }, { 7, 1701, 2048 }, { 7, 1702, 2048 }, { 8, 1703, 2048 },
|
|
{ 6, 1704, 2048 }, { 7, 1705, 2048 }, { 7, 1706, 2048 }, { 8, 1707, 2048 }, { 7, 1708, 2048 }, { 8, 1709, 2048 }, { 8, 1710, 2048 }, { 9, 1711, 2048 },
|
|
{ 6, 1712, 2048 }, { 7, 1713, 2048 }, { 7, 1714, 2048 }, { 8, 1715, 2048 }, { 7, 1716, 2048 }, { 8, 1717, 2048 }, { 8, 1718, 2048 }, { 9, 1719, 2048 },
|
|
{ 7, 1720, 2048 }, { 8, 1721, 2048 }, { 8, 1722, 2048 }, { 9, 1723, 2048 }, { 8, 1724, 2048 }, { 9, 1725, 2048 }, { 9, 1726, 2048 }, { 10, 1727, 2048 },
|
|
{ 5, 1728, 2048 }, { 6, 1729, 2048 }, { 6, 1730, 2048 }, { 7, 1731, 2048 }, { 6, 1732, 2048 }, { 7, 1733, 2048 }, { 7, 1734, 2048 }, { 8, 1735, 2048 },
|
|
{ 6, 1736, 2048 }, { 7, 1737, 2048 }, { 7, 1738, 2048 }, { 8, 1739, 2048 }, { 7, 1740, 2048 }, { 8, 1741, 2048 }, { 8, 1742, 2048 }, { 9, 1743, 2048 },
|
|
{ 6, 1744, 2048 }, { 7, 1745, 2048 }, { 7, 1746, 2048 }, { 8, 1747, 2048 }, { 7, 1748, 2048 }, { 8, 1749, 2048 }, { 8, 1750, 2048 }, { 9, 1751, 2048 },
|
|
{ 7, 1752, 2048 }, { 8, 1753, 2048 }, { 8, 1754, 2048 }, { 9, 1755, 2048 }, { 8, 1756, 2048 }, { 9, 1757, 2048 }, { 9, 1758, 2048 }, { 10, 1759, 2048 },
|
|
{ 6, 1760, 2048 }, { 7, 1761, 2048 }, { 7, 1762, 2048 }, { 8, 1763, 2048 }, { 7, 1764, 2048 }, { 8, 1765, 2048 }, { 8, 1766, 2048 }, { 9, 1767, 2048 },
|
|
{ 7, 1768, 2048 }, { 8, 1769, 2048 }, { 8, 1770, 2048 }, { 9, 1771, 2048 }, { 8, 1772, 2048 }, { 9, 1773, 2048 }, { 9, 1774, 2048 }, { 10, 1775, 2048 },
|
|
{ 7, 1776, 2048 }, { 8, 1777, 2048 }, { 8, 1778, 2048 }, { 9, 1779, 2048 }, { 8, 1780, 2048 }, { 9, 1781, 2048 }, { 9, 1782, 2048 }, { 10, 1783, 2048 },
|
|
{ 8, 1784, 2048 }, { 9, 1785, 2048 }, { 9, 1786, 2048 }, { 10, 1787, 2048 }, { 9, 1788, 2048 }, { 10, 1789, 2048 }, { 10, 1790, 2048 }, { 11, 1791, 2048 },
|
|
{ 4, 1792, 2048 }, { 5, 1793, 2048 }, { 5, 1794, 2048 }, { 6, 1795, 2048 }, { 5, 1796, 2048 }, { 6, 1797, 2048 }, { 6, 1798, 2048 }, { 7, 1799, 2048 },
|
|
{ 5, 1800, 2048 }, { 6, 1801, 2048 }, { 6, 1802, 2048 }, { 7, 1803, 2048 }, { 6, 1804, 2048 }, { 7, 1805, 2048 }, { 7, 1806, 2048 }, { 8, 1807, 2048 },
|
|
{ 5, 1808, 2048 }, { 6, 1809, 2048 }, { 6, 1810, 2048 }, { 7, 1811, 2048 }, { 6, 1812, 2048 }, { 7, 1813, 2048 }, { 7, 1814, 2048 }, { 8, 1815, 2048 },
|
|
{ 6, 1816, 2048 }, { 7, 1817, 2048 }, { 7, 1818, 2048 }, { 8, 1819, 2048 }, { 7, 1820, 2048 }, { 8, 1821, 2048 }, { 8, 1822, 2048 }, { 9, 1823, 2048 },
|
|
{ 5, 1824, 2048 }, { 6, 1825, 2048 }, { 6, 1826, 2048 }, { 7, 1827, 2048 }, { 6, 1828, 2048 }, { 7, 1829, 2048 }, { 7, 1830, 2048 }, { 8, 1831, 2048 },
|
|
{ 6, 1832, 2048 }, { 7, 1833, 2048 }, { 7, 1834, 2048 }, { 8, 1835, 2048 }, { 7, 1836, 2048 }, { 8, 1837, 2048 }, { 8, 1838, 2048 }, { 9, 1839, 2048 },
|
|
{ 6, 1840, 2048 }, { 7, 1841, 2048 }, { 7, 1842, 2048 }, { 8, 1843, 2048 }, { 7, 1844, 2048 }, { 8, 1845, 2048 }, { 8, 1846, 2048 }, { 9, 1847, 2048 },
|
|
{ 7, 1848, 2048 }, { 8, 1849, 2048 }, { 8, 1850, 2048 }, { 9, 1851, 2048 }, { 8, 1852, 2048 }, { 9, 1853, 2048 }, { 9, 1854, 2048 }, { 10, 1855, 2048 },
|
|
{ 5, 1856, 2048 }, { 6, 1857, 2048 }, { 6, 1858, 2048 }, { 7, 1859, 2048 }, { 6, 1860, 2048 }, { 7, 1861, 2048 }, { 7, 1862, 2048 }, { 8, 1863, 2048 },
|
|
{ 6, 1864, 2048 }, { 7, 1865, 2048 }, { 7, 1866, 2048 }, { 8, 1867, 2048 }, { 7, 1868, 2048 }, { 8, 1869, 2048 }, { 8, 1870, 2048 }, { 9, 1871, 2048 },
|
|
{ 6, 1872, 2048 }, { 7, 1873, 2048 }, { 7, 1874, 2048 }, { 8, 1875, 2048 }, { 7, 1876, 2048 }, { 8, 1877, 2048 }, { 8, 1878, 2048 }, { 9, 1879, 2048 },
|
|
{ 7, 1880, 2048 }, { 8, 1881, 2048 }, { 8, 1882, 2048 }, { 9, 1883, 2048 }, { 8, 1884, 2048 }, { 9, 1885, 2048 }, { 9, 1886, 2048 }, { 10, 1887, 2048 },
|
|
{ 6, 1888, 2048 }, { 7, 1889, 2048 }, { 7, 1890, 2048 }, { 8, 1891, 2048 }, { 7, 1892, 2048 }, { 8, 1893, 2048 }, { 8, 1894, 2048 }, { 9, 1895, 2048 },
|
|
{ 7, 1896, 2048 }, { 8, 1897, 2048 }, { 8, 1898, 2048 }, { 9, 1899, 2048 }, { 8, 1900, 2048 }, { 9, 1901, 2048 }, { 9, 1902, 2048 }, { 10, 1903, 2048 },
|
|
{ 7, 1904, 2048 }, { 8, 1905, 2048 }, { 8, 1906, 2048 }, { 9, 1907, 2048 }, { 8, 1908, 2048 }, { 9, 1909, 2048 }, { 9, 1910, 2048 }, { 10, 1911, 2048 },
|
|
{ 8, 1912, 2048 }, { 9, 1913, 2048 }, { 9, 1914, 2048 }, { 10, 1915, 2048 }, { 9, 1916, 2048 }, { 10, 1917, 2048 }, { 10, 1918, 2048 }, { 11, 1919, 2048 },
|
|
{ 5, 1920, 2048 }, { 6, 1921, 2048 }, { 6, 1922, 2048 }, { 7, 1923, 2048 }, { 6, 1924, 2048 }, { 7, 1925, 2048 }, { 7, 1926, 2048 }, { 8, 1927, 2048 },
|
|
{ 6, 1928, 2048 }, { 7, 1929, 2048 }, { 7, 1930, 2048 }, { 8, 1931, 2048 }, { 7, 1932, 2048 }, { 8, 1933, 2048 }, { 8, 1934, 2048 }, { 9, 1935, 2048 },
|
|
{ 6, 1936, 2048 }, { 7, 1937, 2048 }, { 7, 1938, 2048 }, { 8, 1939, 2048 }, { 7, 1940, 2048 }, { 8, 1941, 2048 }, { 8, 1942, 2048 }, { 9, 1943, 2048 },
|
|
{ 7, 1944, 2048 }, { 8, 1945, 2048 }, { 8, 1946, 2048 }, { 9, 1947, 2048 }, { 8, 1948, 2048 }, { 9, 1949, 2048 }, { 9, 1950, 2048 }, { 10, 1951, 2048 },
|
|
{ 6, 1952, 2048 }, { 7, 1953, 2048 }, { 7, 1954, 2048 }, { 8, 1955, 2048 }, { 7, 1956, 2048 }, { 8, 1957, 2048 }, { 8, 1958, 2048 }, { 9, 1959, 2048 },
|
|
{ 7, 1960, 2048 }, { 8, 1961, 2048 }, { 8, 1962, 2048 }, { 9, 1963, 2048 }, { 8, 1964, 2048 }, { 9, 1965, 2048 }, { 9, 1966, 2048 }, { 10, 1967, 2048 },
|
|
{ 7, 1968, 2048 }, { 8, 1969, 2048 }, { 8, 1970, 2048 }, { 9, 1971, 2048 }, { 8, 1972, 2048 }, { 9, 1973, 2048 }, { 9, 1974, 2048 }, { 10, 1975, 2048 },
|
|
{ 8, 1976, 2048 }, { 9, 1977, 2048 }, { 9, 1978, 2048 }, { 10, 1979, 2048 }, { 9, 1980, 2048 }, { 10, 1981, 2048 }, { 10, 1982, 2048 }, { 11, 1983, 2048 },
|
|
{ 6, 1984, 2048 }, { 7, 1985, 2048 }, { 7, 1986, 2048 }, { 8, 1987, 2048 }, { 7, 1988, 2048 }, { 8, 1989, 2048 }, { 8, 1990, 2048 }, { 9, 1991, 2048 },
|
|
{ 7, 1992, 2048 }, { 8, 1993, 2048 }, { 8, 1994, 2048 }, { 9, 1995, 2048 }, { 8, 1996, 2048 }, { 9, 1997, 2048 }, { 9, 1998, 2048 }, { 10, 1999, 2048 },
|
|
{ 7, 2000, 2048 }, { 8, 2001, 2048 }, { 8, 2002, 2048 }, { 9, 2003, 2048 }, { 8, 2004, 2048 }, { 9, 2005, 2048 }, { 9, 2006, 2048 }, { 10, 2007, 2048 },
|
|
{ 8, 2008, 2048 }, { 9, 2009, 2048 }, { 9, 2010, 2048 }, { 10, 2011, 2048 }, { 9, 2012, 2048 }, { 10, 2013, 2048 }, { 10, 2014, 2048 }, { 11, 2015, 2048 },
|
|
{ 7, 2016, 2048 }, { 8, 2017, 2048 }, { 8, 2018, 2048 }, { 9, 2019, 2048 }, { 8, 2020, 2048 }, { 9, 2021, 2048 }, { 9, 2022, 2048 }, { 10, 2023, 2048 },
|
|
{ 8, 2024, 2048 }, { 9, 2025, 2048 }, { 9, 2026, 2048 }, { 10, 2027, 2048 }, { 9, 2028, 2048 }, { 10, 2029, 2048 }, { 10, 2030, 2048 }, { 11, 2031, 2048 },
|
|
{ 8, 2032, 2048 }, { 9, 2033, 2048 }, { 9, 2034, 2048 }, { 10, 2035, 2048 }, { 9, 2036, 2048 }, { 10, 2037, 2048 }, { 10, 2038, 2048 }, { 11, 2039, 2048 },
|
|
{ 9, 2040, 2048 }, { 10, 2041, 2048 }, { 10, 2042, 2048 }, { 11, 2043, 2048 }, { 10, 2044, 2048 }, { 11, 2045, 2048 }, { 11, 2046, 2048 }, { 12, 2047, 2048 },
|
|
#endif
|
|
#endif
|
|
#endif
|
|
#endif
|
|
#endif
|
|
#endif
|
|
};
|
|
|
|
|
|
/* find a hole and free as required, return -1 if no hole found */
|
|
static int find_hole(void)
|
|
{
|
|
#ifdef WOLFSSL_NO_MALLOC
|
|
return -1;
|
|
#else
|
|
int x, y, z;
|
|
for (z = -1, y = INT_MAX, x = 0; x < FP_ENTRIES; x++) {
|
|
if (fp_cache[x].lru_count < y && fp_cache[x].lock == 0) {
|
|
z = x;
|
|
y = fp_cache[x].lru_count;
|
|
}
|
|
}
|
|
|
|
/* decrease all */
|
|
for (x = 0; x < FP_ENTRIES; x++) {
|
|
if (fp_cache[x].lru_count > 3) {
|
|
--(fp_cache[x].lru_count);
|
|
}
|
|
}
|
|
|
|
/* free entry z */
|
|
if (z >= 0 && fp_cache[z].g) {
|
|
mp_clear(&fp_cache[z].mu);
|
|
wc_ecc_del_point(fp_cache[z].g);
|
|
fp_cache[z].g = NULL;
|
|
for (x = 0; x < (1<<FP_LUT); x++) {
|
|
wc_ecc_del_point(fp_cache[z].LUT[x]);
|
|
fp_cache[z].LUT[x] = NULL;
|
|
}
|
|
fp_cache[z].LUT_set = 0;
|
|
fp_cache[z].lru_count = 0;
|
|
}
|
|
return z;
|
|
#endif /* !WOLFSSL_NO_MALLOC */
|
|
}
|
|
|
|
/* determine if a base is already in the cache and if so, where */
|
|
static int find_base(ecc_point* g)
|
|
{
|
|
int x;
|
|
for (x = 0; x < FP_ENTRIES; x++) {
|
|
if (fp_cache[x].g != NULL &&
|
|
mp_cmp(fp_cache[x].g->x, g->x) == MP_EQ &&
|
|
mp_cmp(fp_cache[x].g->y, g->y) == MP_EQ &&
|
|
mp_cmp(fp_cache[x].g->z, g->z) == MP_EQ) {
|
|
break;
|
|
}
|
|
}
|
|
if (x == FP_ENTRIES) {
|
|
x = -1;
|
|
}
|
|
return x;
|
|
}
|
|
|
|
/* add a new base to the cache */
|
|
static int add_entry(int idx, ecc_point *g)
|
|
{
|
|
unsigned x, y;
|
|
|
|
/* allocate base and LUT */
|
|
fp_cache[idx].g = wc_ecc_new_point();
|
|
if (fp_cache[idx].g == NULL) {
|
|
return MP_MEM;
|
|
}
|
|
|
|
/* copy x and y */
|
|
if ((mp_copy(g->x, fp_cache[idx].g->x) != MP_OKAY) ||
|
|
(mp_copy(g->y, fp_cache[idx].g->y) != MP_OKAY) ||
|
|
(mp_copy(g->z, fp_cache[idx].g->z) != MP_OKAY)) {
|
|
wc_ecc_del_point(fp_cache[idx].g);
|
|
fp_cache[idx].g = NULL;
|
|
return MP_MEM;
|
|
}
|
|
|
|
for (x = 0; x < (1U<<FP_LUT); x++) {
|
|
fp_cache[idx].LUT[x] = wc_ecc_new_point();
|
|
if (fp_cache[idx].LUT[x] == NULL) {
|
|
for (y = 0; y < x; y++) {
|
|
wc_ecc_del_point(fp_cache[idx].LUT[y]);
|
|
fp_cache[idx].LUT[y] = NULL;
|
|
}
|
|
wc_ecc_del_point(fp_cache[idx].g);
|
|
fp_cache[idx].g = NULL;
|
|
fp_cache[idx].lru_count = 0;
|
|
return MP_MEM;
|
|
}
|
|
}
|
|
|
|
fp_cache[idx].LUT_set = 0;
|
|
fp_cache[idx].lru_count = 0;
|
|
|
|
return MP_OKAY;
|
|
}
|
|
#endif
|
|
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
/* build the LUT by spacing the bits of the input by #modulus/FP_LUT bits apart
|
|
*
|
|
* The algorithm builds patterns in increasing bit order by first making all
|
|
* single bit input patterns, then all two bit input patterns and so on
|
|
*/
|
|
static int build_lut(int idx, mp_int* a, mp_int* modulus, mp_digit mp,
|
|
mp_int* mu)
|
|
{
|
|
int err;
|
|
unsigned x, y, bitlen, lut_gap;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *tmp = NULL;
|
|
#else
|
|
mp_int tmp[1];
|
|
#endif
|
|
int infinity;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if ((tmp = (mp_int *)XMALLOC(sizeof(*tmp), NULL, DYNAMIC_TYPE_ECC_BUFFER)) == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
|
|
err = mp_init(tmp);
|
|
if (err != MP_OKAY) {
|
|
err = MP_MEM;
|
|
goto errout;
|
|
}
|
|
|
|
/* sanity check to make sure lut_order table is of correct size,
|
|
should compile out to a NOP if true */
|
|
if ((sizeof(lut_orders) / sizeof(lut_orders[0])) < (1U<<FP_LUT)) {
|
|
err = BAD_FUNC_ARG;
|
|
goto errout;
|
|
}
|
|
|
|
/* get bitlen and round up to next multiple of FP_LUT */
|
|
bitlen = (unsigned)mp_unsigned_bin_size(modulus) << 3;
|
|
x = bitlen % FP_LUT;
|
|
if (x) {
|
|
bitlen += FP_LUT - x;
|
|
}
|
|
lut_gap = bitlen / FP_LUT;
|
|
|
|
/* init the mu */
|
|
err = mp_init_copy(&fp_cache[idx].mu, mu);
|
|
if (err != MP_OKAY)
|
|
goto errout;
|
|
|
|
/* copy base */
|
|
if ((mp_mulmod(fp_cache[idx].g->x, mu, modulus,
|
|
fp_cache[idx].LUT[1]->x) != MP_OKAY) ||
|
|
(mp_mulmod(fp_cache[idx].g->y, mu, modulus,
|
|
fp_cache[idx].LUT[1]->y) != MP_OKAY) ||
|
|
(mp_mulmod(fp_cache[idx].g->z, mu, modulus,
|
|
fp_cache[idx].LUT[1]->z) != MP_OKAY)) {
|
|
err = MP_MULMOD_E;
|
|
goto errout;
|
|
}
|
|
|
|
/* make all single bit entries */
|
|
for (x = 1; x < FP_LUT; x++) {
|
|
if ((mp_copy(fp_cache[idx].LUT[(unsigned int)(1 << (x-1))]->x,
|
|
fp_cache[idx].LUT[(unsigned int)(1 << x )]->x) != MP_OKAY) ||
|
|
(mp_copy(fp_cache[idx].LUT[(unsigned int)(1 << (x-1))]->y,
|
|
fp_cache[idx].LUT[(unsigned int)(1 << x )]->y) != MP_OKAY) ||
|
|
(mp_copy(fp_cache[idx].LUT[(unsigned int)(1 << (x-1))]->z,
|
|
fp_cache[idx].LUT[(unsigned int)(1 << x )]->z) != MP_OKAY)) {
|
|
err = MP_INIT_E;
|
|
goto errout;
|
|
} else {
|
|
|
|
/* now double it bitlen/FP_LUT times */
|
|
for (y = 0; y < lut_gap; y++) {
|
|
if ((err = ecc_projective_dbl_point_safe(
|
|
fp_cache[idx].LUT[(unsigned int)(1<<x)],
|
|
fp_cache[idx].LUT[(unsigned int)(1<<x)],
|
|
a, modulus, mp)) != MP_OKAY) {
|
|
goto errout;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* now make all entries in increase order of hamming weight */
|
|
for (x = 2; x <= FP_LUT; x++) {
|
|
if (err != MP_OKAY)
|
|
goto errout;
|
|
for (y = 0; y < (1UL<<FP_LUT); y++) {
|
|
if (lut_orders[y].ham != (int)x) continue;
|
|
|
|
/* perform the add */
|
|
if ((err = ecc_projective_add_point_safe(
|
|
fp_cache[idx].LUT[lut_orders[y].terma],
|
|
fp_cache[idx].LUT[lut_orders[y].termb],
|
|
fp_cache[idx].LUT[y], a, modulus, mp,
|
|
&infinity)) != MP_OKAY) {
|
|
goto errout;
|
|
}
|
|
}
|
|
}
|
|
|
|
/* now map all entries back to affine space to make point addition faster */
|
|
for (x = 1; x < (1UL<<FP_LUT); x++) {
|
|
if (err != MP_OKAY)
|
|
break;
|
|
|
|
/* convert z to normal from montgomery */
|
|
err = mp_montgomery_reduce(fp_cache[idx].LUT[x]->z, modulus, mp);
|
|
|
|
/* invert it */
|
|
if (err == MP_OKAY)
|
|
err = mp_invmod(fp_cache[idx].LUT[x]->z, modulus,
|
|
fp_cache[idx].LUT[x]->z);
|
|
|
|
if (err == MP_OKAY)
|
|
/* now square it */
|
|
err = mp_sqrmod(fp_cache[idx].LUT[x]->z, modulus, tmp);
|
|
|
|
if (err == MP_OKAY)
|
|
/* fix x */
|
|
err = mp_mulmod(fp_cache[idx].LUT[x]->x, tmp, modulus,
|
|
fp_cache[idx].LUT[x]->x);
|
|
|
|
if (err == MP_OKAY)
|
|
/* get 1/z^3 */
|
|
err = mp_mulmod(tmp, fp_cache[idx].LUT[x]->z, modulus, tmp);
|
|
|
|
if (err == MP_OKAY)
|
|
/* fix y */
|
|
err = mp_mulmod(fp_cache[idx].LUT[x]->y, tmp, modulus,
|
|
fp_cache[idx].LUT[x]->y);
|
|
|
|
if (err == MP_OKAY)
|
|
/* free z */
|
|
mp_clear(fp_cache[idx].LUT[x]->z);
|
|
}
|
|
|
|
errout:
|
|
|
|
mp_clear(tmp);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(tmp, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
if (err == MP_OKAY) {
|
|
fp_cache[idx].LUT_set = 1;
|
|
return MP_OKAY;
|
|
}
|
|
|
|
/* err cleanup */
|
|
for (y = 0; y < (1U<<FP_LUT); y++) {
|
|
wc_ecc_del_point(fp_cache[idx].LUT[y]);
|
|
fp_cache[idx].LUT[y] = NULL;
|
|
}
|
|
wc_ecc_del_point(fp_cache[idx].g);
|
|
fp_cache[idx].g = NULL;
|
|
fp_cache[idx].LUT_set = 0;
|
|
fp_cache[idx].lru_count = 0;
|
|
mp_clear(&fp_cache[idx].mu);
|
|
|
|
return err;
|
|
}
|
|
|
|
/* perform a fixed point ECC mulmod */
|
|
static int accel_fp_mul(int idx, const mp_int* k, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp, int map)
|
|
{
|
|
#ifdef WOLFCRYPT_HAVE_SAKKE
|
|
#define KB_SIZE 256
|
|
#else
|
|
#define KB_SIZE 128
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
unsigned char* kb = NULL;
|
|
mp_int* tk = NULL;
|
|
mp_int* order = NULL;
|
|
#else
|
|
unsigned char kb[KB_SIZE];
|
|
mp_int tk[1];
|
|
mp_int order[1];
|
|
#endif
|
|
int x, err;
|
|
unsigned y, z = 0, bitlen, bitpos, lut_gap;
|
|
int first;
|
|
int tk_zeroize = 0;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
tk = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (tk == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
order = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (order == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
#endif
|
|
|
|
if (mp_init_multi(tk, order, NULL, NULL, NULL, NULL) != MP_OKAY) {
|
|
err = MP_INIT_E; goto done;
|
|
}
|
|
|
|
if ((err = mp_copy(k, tk)) != MP_OKAY)
|
|
goto done;
|
|
tk_zeroize = 1;
|
|
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
mp_memzero_add("accel_fp_mul tk", tk);
|
|
#endif
|
|
|
|
/* if it's smaller than modulus we fine */
|
|
if (mp_unsigned_bin_size(k) > mp_unsigned_bin_size(modulus)) {
|
|
/* find order */
|
|
y = (unsigned)mp_unsigned_bin_size(modulus);
|
|
for (x = 0; ecc_sets[x].size; x++) {
|
|
if (y <= (unsigned)ecc_sets[x].size) break;
|
|
}
|
|
|
|
/* back off if we are on the 521 bit curve */
|
|
if (y == 66) --x;
|
|
|
|
if ((err = mp_read_radix(order, ecc_sets[x].order,
|
|
MP_RADIX_HEX)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
/* k must be less than modulus */
|
|
if (mp_cmp(tk, order) != MP_LT) {
|
|
if ((err = mp_mod(tk, order, tk)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
}
|
|
|
|
/* get bitlen and round up to next multiple of FP_LUT */
|
|
bitlen = (unsigned)mp_unsigned_bin_size(modulus) << 3;
|
|
x = bitlen % FP_LUT;
|
|
if (x) {
|
|
bitlen += FP_LUT - (unsigned)x;
|
|
}
|
|
lut_gap = bitlen / FP_LUT;
|
|
|
|
/* get the k value */
|
|
if (mp_unsigned_bin_size(tk) > (int)(KB_SIZE - 2)) {
|
|
err = BUFFER_E; goto done;
|
|
}
|
|
|
|
/* store k */
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
kb = (unsigned char*)XMALLOC(KB_SIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (kb == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
#endif
|
|
|
|
XMEMSET(kb, 0, KB_SIZE);
|
|
if ((err = mp_to_unsigned_bin(tk, kb)) == MP_OKAY) {
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("accel_fp_mul kb", kb, KB_SIZE);
|
|
#endif
|
|
/* let's reverse kb so it's little endian */
|
|
x = 0;
|
|
y = (unsigned)mp_unsigned_bin_size(tk);
|
|
if (y > 0) {
|
|
y -= 1;
|
|
}
|
|
|
|
while ((unsigned)x < y) {
|
|
z = kb[x]; kb[x] = kb[y]; kb[y] = (byte)z;
|
|
++x; --y;
|
|
}
|
|
|
|
/* at this point we can start, yipee */
|
|
first = 1;
|
|
for (x = (int)lut_gap-1; x >= 0; x--) {
|
|
/* extract FP_LUT bits from kb spread out by lut_gap bits and offset
|
|
by x bits from the start */
|
|
bitpos = (unsigned)x;
|
|
for (y = z = 0; y < FP_LUT; y++) {
|
|
z |= (((word32)kb[bitpos>>3U] >> (bitpos&7U)) & 1U) << y;
|
|
bitpos += lut_gap; /* it's y*lut_gap + x, but here we can avoid
|
|
the mult in each loop */
|
|
}
|
|
|
|
/* double if not first */
|
|
if (!first) {
|
|
if ((err = ecc_projective_dbl_point_safe(R, R, a, modulus,
|
|
mp)) != MP_OKAY) {
|
|
break;
|
|
}
|
|
}
|
|
|
|
/* add if not first, otherwise copy */
|
|
if (!first && z) {
|
|
if ((err = ecc_projective_add_point_safe(R, fp_cache[idx].LUT[z],
|
|
R, a, modulus, mp, &first)) != MP_OKAY) {
|
|
break;
|
|
}
|
|
} else if (z) {
|
|
if ((mp_copy(fp_cache[idx].LUT[z]->x, R->x) != MP_OKAY) ||
|
|
(mp_copy(fp_cache[idx].LUT[z]->y, R->y) != MP_OKAY) ||
|
|
(mp_copy(&fp_cache[idx].mu, R->z) != MP_OKAY)) {
|
|
err = MP_MEM;
|
|
break;
|
|
}
|
|
first = 0;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
(void) z; /* Acknowledge the unused assignment */
|
|
ForceZero(kb, KB_SIZE);
|
|
|
|
/* map R back from projective space */
|
|
if (map) {
|
|
err = ecc_map(R, modulus, mp);
|
|
} else {
|
|
err = MP_OKAY;
|
|
}
|
|
}
|
|
|
|
done:
|
|
/* cleanup */
|
|
mp_clear(order);
|
|
/* Ensure it was initialized. */
|
|
if (tk_zeroize) {
|
|
mp_forcezero(tk);
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(kb, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(order, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tk, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#elif defined(WOLFSSL_CHECK_MEM_ZERO)
|
|
wc_MemZero_Check(kb, KB_SIZE);
|
|
mp_memzero_check(tk);
|
|
#endif
|
|
|
|
#undef KB_SIZE
|
|
|
|
return err;
|
|
}
|
|
#endif
|
|
|
|
#ifdef ECC_SHAMIR
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
/* perform a fixed point ECC mulmod */
|
|
static int accel_fp_mul2add(int idx1, int idx2,
|
|
mp_int* kA, mp_int* kB,
|
|
ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_digit mp)
|
|
{
|
|
#define KB_SIZE 128
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
unsigned char* kb[2] = {NULL, NULL};
|
|
mp_int* tka = NULL;
|
|
mp_int* tkb = NULL;
|
|
mp_int* order = NULL;
|
|
#else
|
|
unsigned char kb[2][KB_SIZE];
|
|
mp_int tka[1];
|
|
mp_int tkb[1];
|
|
mp_int order[1];
|
|
#endif
|
|
int x, err;
|
|
unsigned y, z, bitlen, bitpos, lut_gap, zA, zB;
|
|
int first;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
tka = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (tka == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
tkb = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (tkb == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
order = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
|
|
if (order == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
#endif
|
|
|
|
if (mp_init_multi(tka, tkb, order, NULL, NULL, NULL) != MP_OKAY) {
|
|
err = MP_INIT_E; goto done;
|
|
}
|
|
|
|
/* if it's smaller than modulus we fine */
|
|
if (mp_unsigned_bin_size(kA) > mp_unsigned_bin_size(modulus)) {
|
|
/* find order */
|
|
y = (unsigned)mp_unsigned_bin_size(modulus);
|
|
for (x = 0; ecc_sets[x].size; x++) {
|
|
if (y <= (unsigned)ecc_sets[x].size) break;
|
|
}
|
|
|
|
/* back off if we are on the 521 bit curve */
|
|
if (y == 66) --x;
|
|
|
|
if ((err = mp_read_radix(order, ecc_sets[x].order,
|
|
MP_RADIX_HEX)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
/* kA must be less than modulus */
|
|
if (mp_cmp(kA, order) != MP_LT) {
|
|
if ((err = mp_mod(kA, order, tka)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
} else {
|
|
if ((err = mp_copy(kA, tka)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
} else {
|
|
if ((err = mp_copy(kA, tka)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
mp_memzero_add("accel_fp_mul2add tka", tka);
|
|
#endif
|
|
|
|
/* if it's smaller than modulus we fine */
|
|
if (mp_unsigned_bin_size(kB) > mp_unsigned_bin_size(modulus)) {
|
|
/* find order */
|
|
y = (unsigned)mp_unsigned_bin_size(modulus);
|
|
for (x = 0; ecc_sets[x].size; x++) {
|
|
if (y <= (unsigned)ecc_sets[x].size) break;
|
|
}
|
|
|
|
/* back off if we are on the 521 bit curve */
|
|
if (y == 66) --x;
|
|
|
|
if ((err = mp_read_radix(order, ecc_sets[x].order,
|
|
MP_RADIX_HEX)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
/* kB must be less than modulus */
|
|
if (mp_cmp(kB, order) != MP_LT) {
|
|
if ((err = mp_mod(kB, order, tkb)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
} else {
|
|
if ((err = mp_copy(kB, tkb)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
} else {
|
|
if ((err = mp_copy(kB, tkb)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
mp_memzero_add("accel_fp_mul2add tkb", tkb);
|
|
#endif
|
|
|
|
/* get bitlen and round up to next multiple of FP_LUT */
|
|
bitlen = (unsigned)mp_unsigned_bin_size(modulus) << 3;
|
|
x = bitlen % FP_LUT;
|
|
if (x) {
|
|
bitlen += FP_LUT - (unsigned)x;
|
|
}
|
|
lut_gap = bitlen / FP_LUT;
|
|
|
|
/* get the k value */
|
|
if ((mp_unsigned_bin_size(tka) > (int)(KB_SIZE - 2)) ||
|
|
(mp_unsigned_bin_size(tkb) > (int)(KB_SIZE - 2)) ) {
|
|
err = BUFFER_E; goto done;
|
|
}
|
|
|
|
/* store k */
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
kb[0] = (unsigned char*)XMALLOC(KB_SIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (kb[0] == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
#endif
|
|
|
|
XMEMSET(kb[0], 0, KB_SIZE);
|
|
if ((err = mp_to_unsigned_bin(tka, kb[0])) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("accel_fp_mul2add kb[0]", kb[0], KB_SIZE);
|
|
#endif
|
|
|
|
/* let's reverse kb so it's little endian */
|
|
x = 0;
|
|
y = (unsigned)mp_unsigned_bin_size(tka);
|
|
if (y > 0) {
|
|
y -= 1;
|
|
}
|
|
mp_clear(tka);
|
|
while ((unsigned)x < y) {
|
|
z = kb[0][x]; kb[0][x] = kb[0][y]; kb[0][y] = (byte)z;
|
|
++x; --y;
|
|
}
|
|
|
|
/* store b */
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
kb[1] = (unsigned char*)XMALLOC(KB_SIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (kb[1] == NULL) {
|
|
err = MEMORY_E; goto done;
|
|
}
|
|
#endif
|
|
|
|
XMEMSET(kb[1], 0, KB_SIZE);
|
|
#ifdef WOLFSSL_CHECK_MEM_ZERO
|
|
wc_MemZero_Add("accel_fp_mul2add kb[1]", kb[1], KB_SIZE);
|
|
#endif
|
|
if ((err = mp_to_unsigned_bin(tkb, kb[1])) == MP_OKAY) {
|
|
x = 0;
|
|
y = (unsigned)mp_unsigned_bin_size(tkb);
|
|
if (y > 0) {
|
|
y -= 1;
|
|
}
|
|
|
|
while ((unsigned)x < y) {
|
|
z = kb[1][x]; kb[1][x] = kb[1][y]; kb[1][y] = (byte)z;
|
|
++x; --y;
|
|
}
|
|
|
|
/* at this point we can start, yipee */
|
|
first = 1;
|
|
for (x = (int)lut_gap-1; x >= 0; x--) {
|
|
/* extract FP_LUT bits from kb spread out by lut_gap bits and
|
|
offset by x bits from the start */
|
|
bitpos = (unsigned)x;
|
|
for (y = zA = zB = 0; y < FP_LUT; y++) {
|
|
zA |= (((word32)kb[0][bitpos>>3U] >> (bitpos&7U)) & 1U) << y;
|
|
zB |= (((word32)kb[1][bitpos>>3U] >> (bitpos&7U)) & 1U) << y;
|
|
bitpos += lut_gap; /* it's y*lut_gap + x, but here we can avoid
|
|
the mult in each loop */
|
|
}
|
|
|
|
/* double if not first */
|
|
if (!first) {
|
|
if ((err = ecc_projective_dbl_point_safe(R, R, a, modulus,
|
|
mp)) != MP_OKAY) {
|
|
break;
|
|
}
|
|
|
|
/* add if not first, otherwise copy */
|
|
if (zA) {
|
|
if ((err = ecc_projective_add_point_safe(R,
|
|
fp_cache[idx1].LUT[zA], R, a,
|
|
modulus, mp, &first)) != MP_OKAY) {
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (zB) {
|
|
if ((err = ecc_projective_add_point_safe(R,
|
|
fp_cache[idx2].LUT[zB], R, a,
|
|
modulus, mp, &first)) != MP_OKAY) {
|
|
break;
|
|
}
|
|
}
|
|
} else {
|
|
if (zA) {
|
|
if ((mp_copy(fp_cache[idx1].LUT[zA]->x, R->x) != MP_OKAY) ||
|
|
(mp_copy(fp_cache[idx1].LUT[zA]->y, R->y) != MP_OKAY) ||
|
|
(mp_copy(&fp_cache[idx1].mu, R->z) != MP_OKAY)) {
|
|
err = MP_MEM;
|
|
break;
|
|
}
|
|
first = 0;
|
|
}
|
|
if (zB && first == 0) {
|
|
if ((err = ecc_projective_add_point_safe(R,
|
|
fp_cache[idx2].LUT[zB], R, a,
|
|
modulus, mp, &first)) != MP_OKAY){
|
|
break;
|
|
}
|
|
} else if (zB && first == 1) {
|
|
if ((mp_copy(fp_cache[idx2].LUT[zB]->x, R->x) != MP_OKAY) ||
|
|
(mp_copy(fp_cache[idx2].LUT[zB]->y, R->y) != MP_OKAY) ||
|
|
(mp_copy(&fp_cache[idx2].mu, R->z) != MP_OKAY)) {
|
|
err = MP_MEM;
|
|
break;
|
|
}
|
|
first = 0;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
done:
|
|
/* cleanup */
|
|
mp_forcezero(tkb);
|
|
mp_forcezero(tka);
|
|
mp_clear(order);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if (kb[0])
|
|
#endif
|
|
ForceZero(kb[0], KB_SIZE);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if (kb[1])
|
|
#endif
|
|
ForceZero(kb[1], KB_SIZE);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(kb[1], NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(kb[0], NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(order, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tkb, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(tka, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#elif defined(WOLFSSL_CHECK_MEM_ZERO)
|
|
wc_MemZero_Check(kb[1], KB_SIZE);
|
|
wc_MemZero_Check(kb[0], KB_SIZE);
|
|
mp_memzero_check(tkb);
|
|
mp_memzero_check(tka);
|
|
#endif
|
|
|
|
#undef KB_SIZE
|
|
|
|
if (err != MP_OKAY)
|
|
return err;
|
|
|
|
return ecc_map(R, modulus, mp);
|
|
}
|
|
|
|
|
|
/** ECC Fixed Point mulmod global with heap hint used
|
|
Computes kA*A + kB*B = C using Shamir's Trick
|
|
A First point to multiply
|
|
kA What to multiple A by
|
|
B Second point to multiply
|
|
kB What to multiple B by
|
|
C [out] Destination point (can overlap with A or B)
|
|
a ECC curve parameter a
|
|
modulus Modulus for curve
|
|
return MP_OKAY on success
|
|
*/
|
|
int ecc_mul2add(ecc_point* A, mp_int* kA,
|
|
ecc_point* B, mp_int* kB,
|
|
ecc_point* C, mp_int* a, mp_int* modulus, void* heap)
|
|
{
|
|
int idx1 = -1, idx2 = -1, err, mpInit = 0;
|
|
mp_digit mp = 0;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *mu = (mp_int *)XMALLOC(sizeof *mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
|
|
if (mu == NULL)
|
|
return MP_MEM;
|
|
#else
|
|
mp_int mu[1];
|
|
#endif
|
|
|
|
err = mp_init(mu);
|
|
if (err != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
return err;
|
|
}
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
if (initMutex == 0) { /* extra sanity check if wolfCrypt_Init not called */
|
|
wc_InitMutex(&ecc_fp_lock);
|
|
initMutex = 1;
|
|
}
|
|
#endif
|
|
|
|
if (wc_LockMutex(&ecc_fp_lock) != 0) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
return BAD_MUTEX_E;
|
|
}
|
|
#endif /* HAVE_THREAD_LS */
|
|
|
|
SAVE_VECTOR_REGISTERS(err = _svr_ret;);
|
|
|
|
/* find point */
|
|
idx1 = find_base(A);
|
|
|
|
/* no entry? */
|
|
if (idx1 == -1) {
|
|
/* find hole and add it */
|
|
if ((idx1 = find_hole()) >= 0) {
|
|
err = add_entry(idx1, A);
|
|
}
|
|
}
|
|
if (err == MP_OKAY && idx1 != -1) {
|
|
/* increment LRU */
|
|
++(fp_cache[idx1].lru_count);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* find point */
|
|
idx2 = find_base(B);
|
|
|
|
/* no entry? */
|
|
if (idx2 == -1) {
|
|
/* find hole and add it */
|
|
if ((idx2 = find_hole()) >= 0)
|
|
err = add_entry(idx2, B);
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY && idx2 != -1) {
|
|
/* increment LRU */
|
|
++(fp_cache[idx2].lru_count);
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* if it's >= 2 AND the LUT is not set build the LUT */
|
|
if (idx1 >= 0 && fp_cache[idx1].lru_count >= 2 && !fp_cache[idx1].LUT_set) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
|
|
if (err == MP_OKAY) {
|
|
mpInit = 1;
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
/* build the LUT */
|
|
err = build_lut(idx1, a, modulus, mp, mu);
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
/* if it's >= 2 AND the LUT is not set build the LUT */
|
|
if (idx2 >= 0 && fp_cache[idx2].lru_count >= 2 && !fp_cache[idx2].LUT_set) {
|
|
if (mpInit == 0) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
if (err == MP_OKAY) {
|
|
mpInit = 1;
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
/* build the LUT */
|
|
err = build_lut(idx2, a, modulus, mp, mu);
|
|
}
|
|
}
|
|
|
|
|
|
if (err == MP_OKAY) {
|
|
if (idx1 >=0 && idx2 >= 0 && fp_cache[idx1].LUT_set &&
|
|
fp_cache[idx2].LUT_set) {
|
|
if (mpInit == 0) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = accel_fp_mul2add(idx1, idx2, kA, kB, C, a, modulus, mp);
|
|
} else {
|
|
err = normal_ecc_mul2add(A, kA, B, kB, C, a, modulus, heap);
|
|
}
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
wc_UnLockMutex(&ecc_fp_lock);
|
|
#endif /* HAVE_THREAD_LS */
|
|
mp_clear(mu);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
#endif
|
|
#endif /* ECC_SHAMIR */
|
|
|
|
/** ECC Fixed Point mulmod global
|
|
k The multiplicand
|
|
G Base point to multiply
|
|
R [out] Destination of product
|
|
a ECC curve parameter a
|
|
modulus The modulus for the curve
|
|
map [boolean] If non-zero maps the point back to affine coordinates,
|
|
otherwise it's left in jacobian-montgomery form
|
|
return MP_OKAY if successful
|
|
*/
|
|
int wc_ecc_mulmod_ex(const mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, int map, void* heap)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
int idx, err = MP_OKAY;
|
|
mp_digit mp = 0;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *mu = NULL;
|
|
#else
|
|
mp_int mu[1];
|
|
#endif
|
|
int mpSetup = 0;
|
|
#ifndef HAVE_THREAD_LS
|
|
int got_ecc_fp_lock = 0;
|
|
#endif
|
|
|
|
if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* k can't have more bits than modulus count plus 1 */
|
|
if (mp_count_bits(k) > mp_count_bits(modulus) + 1) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if ((mu = (mp_int *)XMALLOC(sizeof(*mu), NULL, DYNAMIC_TYPE_ECC_BUFFER)) == NULL)
|
|
return MP_MEM;
|
|
#endif
|
|
|
|
if (mp_init(mu) != MP_OKAY) {
|
|
err = MP_INIT_E;
|
|
goto out;
|
|
}
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
if (initMutex == 0) { /* extra sanity check if wolfCrypt_Init not called */
|
|
wc_InitMutex(&ecc_fp_lock);
|
|
initMutex = 1;
|
|
}
|
|
#endif
|
|
|
|
if (wc_LockMutex(&ecc_fp_lock) != 0) {
|
|
err = BAD_MUTEX_E;
|
|
goto out;
|
|
}
|
|
got_ecc_fp_lock = 1;
|
|
#endif /* HAVE_THREAD_LS */
|
|
|
|
SAVE_VECTOR_REGISTERS(err = _svr_ret; goto out;);
|
|
|
|
/* find point */
|
|
idx = find_base(G);
|
|
|
|
/* no entry? */
|
|
if (idx == -1) {
|
|
/* find hole and add it */
|
|
idx = find_hole();
|
|
|
|
if (idx >= 0)
|
|
err = add_entry(idx, G);
|
|
}
|
|
if (err == MP_OKAY && idx >= 0) {
|
|
/* increment LRU */
|
|
++(fp_cache[idx].lru_count);
|
|
}
|
|
|
|
|
|
if (err == MP_OKAY) {
|
|
/* if it's 2 build the LUT, if it's higher just use the LUT */
|
|
if (idx >= 0 && fp_cache[idx].lru_count >= 2 && !fp_cache[idx].LUT_set) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
|
|
if (err == MP_OKAY) {
|
|
/* compute mu */
|
|
mpSetup = 1;
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
/* build the LUT */
|
|
err = build_lut(idx, a, modulus, mp, mu);
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
if (idx >= 0 && fp_cache[idx].LUT_set) {
|
|
if (mpSetup == 0) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = accel_fp_mul(idx, k, R, a, modulus, mp, map);
|
|
} else {
|
|
err = normal_ecc_mulmod(k, G, R, a, modulus, NULL, map, heap);
|
|
}
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
out:
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
if (got_ecc_fp_lock)
|
|
wc_UnLockMutex(&ecc_fp_lock);
|
|
#endif /* HAVE_THREAD_LS */
|
|
mp_clear(mu);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return err;
|
|
|
|
#else /* WOLFSSL_SP_MATH */
|
|
|
|
if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
if (mp_count_bits(G->x) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->y) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->z) > mp_count_bits(modulus)) {
|
|
return IS_POINT_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(modulus) == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret);
|
|
ret = sp_ecc_mulmod_sm2_256(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (mp_count_bits(modulus) == 256) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_256(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (mp_count_bits(modulus) == 384) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_384(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (mp_count_bits(modulus) == 521) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_521(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
return WC_KEY_SIZE_E;
|
|
#endif /* WOLFSSL_SP_MATH */
|
|
}
|
|
|
|
/** ECC Fixed Point mulmod global
|
|
k The multiplicand
|
|
G Base point to multiply
|
|
R [out] Destination of product
|
|
a ECC curve parameter a
|
|
modulus The modulus for the curve
|
|
map [boolean] If non-zero maps the point back to affine coordinates,
|
|
otherwise it's left in jacobian-montgomery form
|
|
return MP_OKAY if successful
|
|
*/
|
|
int wc_ecc_mulmod_ex2(const mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
|
|
mp_int* modulus, mp_int* order, WC_RNG* rng, int map, void* heap)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
int idx, err = MP_OKAY;
|
|
mp_digit mp = 0;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *mu = NULL;
|
|
#else
|
|
mp_int mu[1];
|
|
#endif
|
|
int mpSetup = 0;
|
|
#ifndef HAVE_THREAD_LS
|
|
int got_ecc_fp_lock = 0;
|
|
#endif
|
|
|
|
if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL ||
|
|
order == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
/* k can't have more bits than order */
|
|
if (mp_count_bits(k) > mp_count_bits(order)) {
|
|
return ECC_OUT_OF_RANGE_E;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if ((mu = (mp_int *)XMALLOC(sizeof(*mu), NULL, DYNAMIC_TYPE_ECC_BUFFER)) == NULL)
|
|
return MP_MEM;
|
|
#endif
|
|
|
|
if (mp_init(mu) != MP_OKAY) {
|
|
err = MP_INIT_E;
|
|
goto out;
|
|
}
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
if (initMutex == 0) { /* extra sanity check if wolfCrypt_Init not called */
|
|
wc_InitMutex(&ecc_fp_lock);
|
|
initMutex = 1;
|
|
}
|
|
#endif
|
|
|
|
if (wc_LockMutex(&ecc_fp_lock) != 0) {
|
|
err = BAD_MUTEX_E;
|
|
goto out;
|
|
}
|
|
got_ecc_fp_lock = 1;
|
|
#endif /* HAVE_THREAD_LS */
|
|
|
|
SAVE_VECTOR_REGISTERS(err = _svr_ret; goto out;);
|
|
|
|
/* find point */
|
|
idx = find_base(G);
|
|
|
|
/* no entry? */
|
|
if (idx == -1) {
|
|
/* find hole and add it */
|
|
idx = find_hole();
|
|
|
|
if (idx >= 0)
|
|
err = add_entry(idx, G);
|
|
}
|
|
if (err == MP_OKAY && idx >= 0) {
|
|
/* increment LRU */
|
|
++(fp_cache[idx].lru_count);
|
|
}
|
|
|
|
|
|
if (err == MP_OKAY) {
|
|
/* if it's 2 build the LUT, if it's higher just use the LUT */
|
|
if (idx >= 0 && fp_cache[idx].lru_count >= 2 && !fp_cache[idx].LUT_set) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
|
|
if (err == MP_OKAY) {
|
|
/* compute mu */
|
|
mpSetup = 1;
|
|
err = mp_montgomery_calc_normalization(mu, modulus);
|
|
}
|
|
|
|
if (err == MP_OKAY)
|
|
/* build the LUT */
|
|
err = build_lut(idx, a, modulus, mp, mu);
|
|
}
|
|
}
|
|
|
|
if (err == MP_OKAY) {
|
|
if (idx >= 0 && fp_cache[idx].LUT_set) {
|
|
if (mpSetup == 0) {
|
|
/* compute mp */
|
|
err = mp_montgomery_setup(modulus, &mp);
|
|
}
|
|
if (err == MP_OKAY)
|
|
err = accel_fp_mul(idx, k, R, a, modulus, mp, map);
|
|
} else {
|
|
err = normal_ecc_mulmod(k, G, R, a, modulus, rng, map, heap);
|
|
}
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
out:
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
if (got_ecc_fp_lock)
|
|
wc_UnLockMutex(&ecc_fp_lock);
|
|
#endif /* HAVE_THREAD_LS */
|
|
mp_clear(mu);
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(mu, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return err;
|
|
|
|
#else /* WOLFSSL_SP_MATH */
|
|
|
|
(void)rng;
|
|
|
|
if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL ||
|
|
order == NULL) {
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
if (mp_count_bits(G->x) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->y) > mp_count_bits(modulus) ||
|
|
mp_count_bits(G->z) > mp_count_bits(modulus)) {
|
|
return IS_POINT_E;
|
|
}
|
|
|
|
#if defined(WOLFSSL_SM2) && defined(WOLFSSL_SP_SM2)
|
|
if ((mp_count_bits(modulus) == 256) && (!mp_is_bit_set(modulus, 224))) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_sm2_256(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifndef WOLFSSL_SP_NO_256
|
|
if (mp_count_bits(modulus) == 256) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_256(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_384
|
|
if (mp_count_bits(modulus) == 384) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_384(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
#ifdef WOLFSSL_SP_521
|
|
if (mp_count_bits(modulus) == 521) {
|
|
int ret;
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
ret = sp_ecc_mulmod_521(k, G, R, map, heap);
|
|
RESTORE_VECTOR_REGISTERS();
|
|
return ret;
|
|
}
|
|
#endif
|
|
return WC_KEY_SIZE_E;
|
|
#endif /* WOLFSSL_SP_MATH */
|
|
}
|
|
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
/* helper function for freeing the cache ...
|
|
must be called with the cache mutex locked */
|
|
static void wc_ecc_fp_free_cache(void)
|
|
{
|
|
unsigned x, y;
|
|
for (x = 0; x < FP_ENTRIES; x++) {
|
|
if (fp_cache[x].g != NULL) {
|
|
for (y = 0; y < (1U<<FP_LUT); y++) {
|
|
wc_ecc_del_point(fp_cache[x].LUT[y]);
|
|
fp_cache[x].LUT[y] = NULL;
|
|
}
|
|
wc_ecc_del_point(fp_cache[x].g);
|
|
fp_cache[x].g = NULL;
|
|
mp_clear(&fp_cache[x].mu);
|
|
fp_cache[x].LUT_set = 0;
|
|
fp_cache[x].lru_count = 0;
|
|
fp_cache[x].lock = 0;
|
|
}
|
|
}
|
|
}
|
|
#endif
|
|
|
|
|
|
/** Init the Fixed Point cache */
|
|
void wc_ecc_fp_init(void)
|
|
{
|
|
#ifndef WOLFSSL_SP_MATH
|
|
#ifndef HAVE_THREAD_LS
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
if (initMutex == 0) {
|
|
wc_InitMutex(&ecc_fp_lock);
|
|
initMutex = 1;
|
|
}
|
|
#endif
|
|
#endif
|
|
#endif
|
|
}
|
|
|
|
|
|
/** Free the Fixed Point cache */
|
|
WOLFSSL_ABI
|
|
void wc_ecc_fp_free(void)
|
|
{
|
|
#if !defined(WOLFSSL_SP_MATH)
|
|
#ifndef HAVE_THREAD_LS
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
if (initMutex == 0) { /* extra sanity check if wolfCrypt_Init not called */
|
|
wc_InitMutex(&ecc_fp_lock);
|
|
initMutex = 1;
|
|
}
|
|
#endif
|
|
|
|
if (wc_LockMutex(&ecc_fp_lock) == 0) {
|
|
#endif /* HAVE_THREAD_LS */
|
|
|
|
wc_ecc_fp_free_cache();
|
|
|
|
#ifndef HAVE_THREAD_LS
|
|
wc_UnLockMutex(&ecc_fp_lock);
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
wc_FreeMutex(&ecc_fp_lock);
|
|
initMutex = 0;
|
|
#endif
|
|
}
|
|
#endif /* HAVE_THREAD_LS */
|
|
#endif
|
|
}
|
|
|
|
|
|
#endif /* FP_ECC */
|
|
|
|
int wc_ecc_set_rng(ecc_key* key, WC_RNG* rng)
|
|
{
|
|
int err = 0;
|
|
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (key == NULL) {
|
|
err = BAD_FUNC_ARG;
|
|
}
|
|
else {
|
|
key->rng = rng;
|
|
}
|
|
#else
|
|
(void)key;
|
|
(void)rng;
|
|
/* report success, not an error if ECC_TIMING_RESISTANT is not defined */
|
|
#endif
|
|
|
|
return err;
|
|
}
|
|
|
|
#ifdef HAVE_ECC_ENCRYPT
|
|
|
|
|
|
enum ecCliState {
|
|
ecCLI_INIT = 1,
|
|
ecCLI_SALT_GET = 2,
|
|
ecCLI_SALT_SET = 3,
|
|
ecCLI_SENT_REQ = 4,
|
|
ecCLI_RECV_RESP = 5,
|
|
ecCLI_BAD_STATE = 99
|
|
};
|
|
|
|
enum ecSrvState {
|
|
ecSRV_INIT = 1,
|
|
ecSRV_SALT_GET = 2,
|
|
ecSRV_SALT_SET = 3,
|
|
ecSRV_RECV_REQ = 4,
|
|
ecSRV_SENT_RESP = 5,
|
|
ecSRV_BAD_STATE = 99
|
|
};
|
|
|
|
|
|
struct ecEncCtx {
|
|
const byte* kdfSalt; /* optional salt for kdf */
|
|
const byte* kdfInfo; /* optional info for kdf */
|
|
const byte* macSalt; /* optional salt for mac */
|
|
word32 kdfSaltSz; /* size of kdfSalt */
|
|
word32 kdfInfoSz; /* size of kdfInfo */
|
|
word32 macSaltSz; /* size of macSalt */
|
|
void* heap; /* heap hint for memory used */
|
|
byte clientSalt[EXCHANGE_SALT_SZ]; /* for msg exchange */
|
|
byte serverSalt[EXCHANGE_SALT_SZ]; /* for msg exchange */
|
|
byte encAlgo; /* which encryption type */
|
|
byte kdfAlgo; /* which key derivation function type */
|
|
byte macAlgo; /* which mac function type */
|
|
byte protocol; /* are we REQ_RESP client or server ? */
|
|
byte cliSt; /* protocol state, for sanity checks */
|
|
byte srvSt; /* protocol state, for sanity checks */
|
|
WC_RNG* rng;
|
|
};
|
|
|
|
/* optional set info, can be called before or after set_peer_salt */
|
|
int wc_ecc_ctx_set_algo(ecEncCtx* ctx, byte encAlgo, byte kdfAlgo, byte macAlgo)
|
|
{
|
|
if (ctx == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ctx->encAlgo = encAlgo;
|
|
ctx->kdfAlgo = kdfAlgo;
|
|
ctx->macAlgo = macAlgo;
|
|
|
|
return 0;
|
|
}
|
|
|
|
|
|
const byte* wc_ecc_ctx_get_own_salt(ecEncCtx* ctx)
|
|
{
|
|
if (ctx == NULL || ctx->protocol == 0)
|
|
return NULL;
|
|
|
|
if (ctx->protocol == REQ_RESP_CLIENT) {
|
|
if (ctx->cliSt == ecCLI_INIT) {
|
|
ctx->cliSt = ecCLI_SALT_GET;
|
|
return ctx->clientSalt;
|
|
}
|
|
else {
|
|
ctx->cliSt = ecCLI_BAD_STATE;
|
|
return NULL;
|
|
}
|
|
}
|
|
else if (ctx->protocol == REQ_RESP_SERVER) {
|
|
if (ctx->srvSt == ecSRV_INIT) {
|
|
ctx->srvSt = ecSRV_SALT_GET;
|
|
return ctx->serverSalt;
|
|
}
|
|
else {
|
|
ctx->srvSt = ecSRV_BAD_STATE;
|
|
return NULL;
|
|
}
|
|
}
|
|
|
|
return NULL;
|
|
}
|
|
|
|
|
|
/* optional set info, can be called before or after set_peer_salt */
|
|
int wc_ecc_ctx_set_info(ecEncCtx* ctx, const byte* info, int sz)
|
|
{
|
|
if (ctx == NULL || info == 0 || sz < 0)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ctx->kdfInfo = info;
|
|
ctx->kdfInfoSz = (word32)sz;
|
|
|
|
return 0;
|
|
}
|
|
|
|
|
|
static const char* exchange_info = "Secure Message Exchange";
|
|
|
|
int wc_ecc_ctx_set_peer_salt(ecEncCtx* ctx, const byte* salt)
|
|
{
|
|
byte tmp[EXCHANGE_SALT_SZ/2];
|
|
int halfSz = EXCHANGE_SALT_SZ/2;
|
|
|
|
if (ctx == NULL || ctx->protocol == 0 || salt == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (ctx->protocol == REQ_RESP_CLIENT) {
|
|
XMEMCPY(ctx->serverSalt, salt, EXCHANGE_SALT_SZ);
|
|
if (ctx->cliSt == ecCLI_SALT_GET)
|
|
ctx->cliSt = ecCLI_SALT_SET;
|
|
else {
|
|
ctx->cliSt = ecCLI_BAD_STATE;
|
|
return BAD_STATE_E;
|
|
}
|
|
}
|
|
else {
|
|
XMEMCPY(ctx->clientSalt, salt, EXCHANGE_SALT_SZ);
|
|
if (ctx->srvSt == ecSRV_SALT_GET)
|
|
ctx->srvSt = ecSRV_SALT_SET;
|
|
else {
|
|
ctx->srvSt = ecSRV_BAD_STATE;
|
|
return BAD_STATE_E;
|
|
}
|
|
}
|
|
|
|
/* mix half and half */
|
|
/* tmp stores 2nd half of client before overwrite */
|
|
XMEMCPY(tmp, ctx->clientSalt + halfSz, (size_t)halfSz);
|
|
XMEMCPY(ctx->clientSalt + halfSz, ctx->serverSalt, (size_t)halfSz);
|
|
XMEMCPY(ctx->serverSalt, tmp, (size_t)halfSz);
|
|
|
|
ctx->kdfSalt = ctx->clientSalt;
|
|
ctx->kdfSaltSz = EXCHANGE_SALT_SZ;
|
|
|
|
ctx->macSalt = ctx->serverSalt;
|
|
ctx->macSaltSz = EXCHANGE_SALT_SZ;
|
|
|
|
if (ctx->kdfInfo == NULL) {
|
|
/* default info */
|
|
ctx->kdfInfo = (const byte*)exchange_info;
|
|
ctx->kdfInfoSz = EXCHANGE_INFO_SZ;
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
/* Set the salt pointer into context.
|
|
*
|
|
* @param [in, out] ctx ECIES context object.
|
|
* @param [in] salt Salt to use with KDF.
|
|
* @param [in] sz Length of salt in bytes.
|
|
* @return 0 on success.
|
|
* @return BAD_FUNC_ARG when ctx is NULL or salt is NULL and len is not 0.
|
|
*/
|
|
int wc_ecc_ctx_set_kdf_salt(ecEncCtx* ctx, const byte* salt, word32 sz)
|
|
{
|
|
if (ctx == NULL || (salt == NULL && sz != 0))
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* truncate salt if exceeds max */
|
|
if (sz > EXCHANGE_SALT_SZ)
|
|
sz = EXCHANGE_SALT_SZ;
|
|
|
|
/* using a custom kdf salt, so borrow clientSalt/serverSalt for it,
|
|
* since wc_ecc_ctx_set_peer_salt will set kdf and mac salts */
|
|
if (ctx->protocol == REQ_RESP_CLIENT) {
|
|
ctx->cliSt = ecCLI_SALT_SET;
|
|
ctx->kdfSalt = ctx->clientSalt;
|
|
}
|
|
else if (ctx->protocol == REQ_RESP_SERVER) {
|
|
ctx->srvSt = ecSRV_SALT_SET;
|
|
ctx->kdfSalt = ctx->serverSalt;
|
|
}
|
|
|
|
if (salt != NULL) {
|
|
XMEMCPY((byte*)ctx->kdfSalt, salt, sz);
|
|
}
|
|
ctx->kdfSaltSz = sz;
|
|
|
|
return 0;
|
|
}
|
|
|
|
/* Set your own salt. By default we generate a random salt for ourselves.
|
|
* This allows overriding that after init or reset.
|
|
*
|
|
* @param [in, out] ctx ECIES context object.
|
|
* @param [in] salt Salt to use for ourselves
|
|
* @param [in] sz Length of salt in bytes.
|
|
* @return 0 on success.
|
|
* @return BAD_FUNC_ARG when ctx is NULL or salt is NULL and len is not 0.
|
|
*/
|
|
int wc_ecc_ctx_set_own_salt(ecEncCtx* ctx, const byte* salt, word32 sz)
|
|
{
|
|
byte* saltBuffer;
|
|
|
|
if (ctx == NULL || ctx->protocol == 0 || salt == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (sz > EXCHANGE_SALT_SZ)
|
|
sz = EXCHANGE_SALT_SZ;
|
|
saltBuffer = (ctx->protocol == REQ_RESP_CLIENT) ?
|
|
ctx->clientSalt :
|
|
ctx->serverSalt;
|
|
XMEMSET(saltBuffer, 0, EXCHANGE_SALT_SZ);
|
|
XMEMCPY(saltBuffer, salt, sz);
|
|
|
|
return 0;
|
|
}
|
|
|
|
|
|
static int ecc_ctx_set_salt(ecEncCtx* ctx, int flags)
|
|
{
|
|
byte* saltBuffer;
|
|
|
|
if (ctx == NULL || flags == 0)
|
|
return BAD_FUNC_ARG;
|
|
|
|
saltBuffer = (flags == REQ_RESP_CLIENT) ? ctx->clientSalt : ctx->serverSalt;
|
|
|
|
return wc_RNG_GenerateBlock(ctx->rng, saltBuffer, EXCHANGE_SALT_SZ);
|
|
}
|
|
|
|
static void ecc_ctx_init(ecEncCtx* ctx, int flags, WC_RNG* rng)
|
|
{
|
|
if (ctx) {
|
|
XMEMSET(ctx, 0, sizeof(ecEncCtx));
|
|
|
|
#if !defined(NO_AES) && defined(HAVE_AES_CBC)
|
|
#ifdef WOLFSSL_AES_128
|
|
ctx->encAlgo = ecAES_128_CBC;
|
|
#else
|
|
ctx->encAlgo = ecAES_256_CBC;
|
|
#endif
|
|
#elif !defined(NO_AES) && defined(WOLFSSL_AES_COUNTER)
|
|
#ifdef WOLFSSL_AES_256
|
|
ctx->encAlgo = ecAES_256_CTR;
|
|
#else
|
|
ctx->encAlgo = ecAES_128_CTR;
|
|
#endif
|
|
#else
|
|
#error "No valid encryption algorithm for ECIES configured."
|
|
#endif
|
|
ctx->kdfAlgo = ecHKDF_SHA256;
|
|
ctx->macAlgo = ecHMAC_SHA256;
|
|
ctx->protocol = (byte)flags;
|
|
ctx->rng = rng;
|
|
|
|
if (flags == REQ_RESP_CLIENT)
|
|
ctx->cliSt = ecCLI_INIT;
|
|
if (flags == REQ_RESP_SERVER)
|
|
ctx->srvSt = ecSRV_INIT;
|
|
}
|
|
}
|
|
|
|
|
|
/* allow ecc context reset so user doesn't have to init/free for reuse */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_ctx_reset(ecEncCtx* ctx, WC_RNG* rng)
|
|
{
|
|
if (ctx == NULL || rng == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ecc_ctx_init(ctx, ctx->protocol, rng);
|
|
return ecc_ctx_set_salt(ctx, ctx->protocol);
|
|
}
|
|
|
|
|
|
ecEncCtx* wc_ecc_ctx_new_ex(int flags, WC_RNG* rng, void* heap)
|
|
{
|
|
int ret = 0;
|
|
ecEncCtx* ctx = (ecEncCtx*)XMALLOC(sizeof(ecEncCtx), heap,
|
|
DYNAMIC_TYPE_ECC);
|
|
|
|
if (ctx) {
|
|
ctx->protocol = (byte)flags;
|
|
ctx->heap = heap;
|
|
}
|
|
|
|
ret = wc_ecc_ctx_reset(ctx, rng);
|
|
if (ret != 0) {
|
|
wc_ecc_ctx_free(ctx);
|
|
ctx = NULL;
|
|
}
|
|
|
|
return ctx;
|
|
}
|
|
|
|
|
|
/* alloc/init and set defaults, return new Context */
|
|
WOLFSSL_ABI
|
|
ecEncCtx* wc_ecc_ctx_new(int flags, WC_RNG* rng)
|
|
{
|
|
return wc_ecc_ctx_new_ex(flags, rng, NULL);
|
|
}
|
|
|
|
|
|
/* free any resources, clear any keys */
|
|
WOLFSSL_ABI
|
|
void wc_ecc_ctx_free(ecEncCtx* ctx)
|
|
{
|
|
if (ctx) {
|
|
void* heap = ctx->heap;
|
|
ForceZero(ctx, sizeof(ecEncCtx));
|
|
XFREE(ctx, heap, DYNAMIC_TYPE_ECC);
|
|
(void)heap;
|
|
}
|
|
}
|
|
|
|
static int ecc_get_key_sizes(ecEncCtx* ctx, int* encKeySz, int* ivSz,
|
|
int* keysLen, word32* digestSz, word32* blockSz)
|
|
{
|
|
if (ctx) {
|
|
switch (ctx->encAlgo) {
|
|
#if !defined(NO_AES) && defined(HAVE_AES_CBC)
|
|
case ecAES_128_CBC:
|
|
*encKeySz = KEY_SIZE_128;
|
|
*ivSz = IV_SIZE_128;
|
|
*blockSz = WC_AES_BLOCK_SIZE;
|
|
break;
|
|
case ecAES_256_CBC:
|
|
*encKeySz = KEY_SIZE_256;
|
|
*ivSz = IV_SIZE_128;
|
|
*blockSz = WC_AES_BLOCK_SIZE;
|
|
break;
|
|
#endif
|
|
#if !defined(NO_AES) && defined(WOLFSSL_AES_COUNTER)
|
|
case ecAES_128_CTR:
|
|
*encKeySz = KEY_SIZE_128;
|
|
*ivSz = 12;
|
|
*blockSz = 1;
|
|
break;
|
|
case ecAES_256_CTR:
|
|
*encKeySz = KEY_SIZE_256;
|
|
*ivSz = 12;
|
|
*blockSz = 1;
|
|
break;
|
|
#endif
|
|
default:
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
switch (ctx->macAlgo) {
|
|
case ecHMAC_SHA256:
|
|
*digestSz = WC_SHA256_DIGEST_SIZE;
|
|
break;
|
|
default:
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
} else
|
|
return BAD_FUNC_ARG;
|
|
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
*keysLen = *encKeySz + *ivSz + (int)*digestSz;
|
|
#else
|
|
*keysLen = *encKeySz + (int)*digestSz;
|
|
#endif
|
|
|
|
return 0;
|
|
}
|
|
|
|
|
|
/* ecc encrypt with shared secret run through kdf
|
|
ctx holds non default algos and inputs
|
|
msgSz should be the right size for encAlgo, i.e., already padded
|
|
return 0 on success */
|
|
int wc_ecc_encrypt_ex(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
|
|
word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx, int compressed)
|
|
{
|
|
int ret = 0;
|
|
word32 blockSz = 0;
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
#ifndef WOLFSSL_ECIES_GEN_IV
|
|
byte iv[ECC_MAX_IV_SIZE];
|
|
#endif
|
|
word32 pubKeySz = 0;
|
|
#endif
|
|
word32 digestSz = 0;
|
|
ecEncCtx localCtx;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* sharedSecret;
|
|
byte* keys;
|
|
#else
|
|
#if defined(WOLFSSL_ECIES_OLD) || !defined(WOLFSSL_ECIES_ISO18033)
|
|
byte sharedSecret[ECC_MAXSIZE]; /* 521 max size */
|
|
#else
|
|
byte sharedSecret[ECC_MAXSIZE * 3 + 1]; /* Public key too */
|
|
#endif
|
|
byte keys[ECC_BUFSIZE]; /* max size */
|
|
#endif
|
|
#if defined(WOLFSSL_ECIES_OLD) || !defined(WOLFSSL_ECIES_ISO18033)
|
|
word32 sharedSz = ECC_MAXSIZE;
|
|
#else
|
|
/* 'Uncompressed' byte | public key x | public key y | secret */
|
|
word32 sharedSz = 1 + ECC_MAXSIZE * 3;
|
|
#endif
|
|
int keysLen = 0;
|
|
int encKeySz = 0;
|
|
int ivSz = 0;
|
|
int offset = 0; /* keys offset if doing msg exchange */
|
|
byte* encKey = NULL;
|
|
byte* encIv = NULL;
|
|
byte* macKey = NULL;
|
|
|
|
if (privKey == NULL || pubKey == NULL || msg == NULL || out == NULL ||
|
|
outSz == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (ctx == NULL) { /* use defaults */
|
|
ecc_ctx_init(&localCtx, 0, NULL);
|
|
ctx = &localCtx;
|
|
}
|
|
|
|
ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
|
|
&blockSz);
|
|
if (ret != 0)
|
|
return ret;
|
|
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (!compressed) {
|
|
pubKeySz = 1 + (word32)wc_ecc_size(privKey) * 2;
|
|
}
|
|
else {
|
|
pubKeySz = 1 + (word32)wc_ecc_size(privKey);
|
|
}
|
|
#else
|
|
(void) compressed; /* avoid unused parameter if WOLFSSL_ECIES_OLD is defined */
|
|
#endif
|
|
|
|
if (ctx->protocol == REQ_RESP_SERVER) {
|
|
offset = keysLen;
|
|
keysLen *= 2;
|
|
|
|
if (ctx->srvSt != ecSRV_RECV_REQ)
|
|
return BAD_STATE_E;
|
|
|
|
ctx->srvSt = ecSRV_BAD_STATE; /* we're done no more ops allowed */
|
|
}
|
|
else if (ctx->protocol == REQ_RESP_CLIENT) {
|
|
if (ctx->cliSt != ecCLI_SALT_SET)
|
|
return BAD_STATE_E;
|
|
|
|
ctx->cliSt = ecCLI_SENT_REQ; /* only do this once */
|
|
}
|
|
|
|
if (keysLen > ECC_BUFSIZE) /* keys size */
|
|
return BUFFER_E;
|
|
|
|
if ((msgSz % blockSz) != 0)
|
|
return BAD_PADDING_E;
|
|
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
if (*outSz < (msgSz + digestSz))
|
|
return BUFFER_E;
|
|
#elif defined(WOLFSSL_ECIES_GEN_IV)
|
|
if (*outSz < (pubKeySz + ivSz + msgSz + digestSz))
|
|
return BUFFER_E;
|
|
#else
|
|
if (*outSz < (pubKeySz + msgSz + digestSz))
|
|
return BUFFER_E;
|
|
#endif
|
|
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (ctx->rng != NULL && privKey->rng == NULL)
|
|
privKey->rng = ctx->rng;
|
|
#endif
|
|
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (privKey->type == ECC_PRIVATEKEY_ONLY) {
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
ret = wc_ecc_make_pub_ex(privKey, NULL, privKey->rng);
|
|
#else
|
|
ret = wc_ecc_make_pub_ex(privKey, NULL, NULL);
|
|
#endif
|
|
if (ret != 0)
|
|
return ret;
|
|
}
|
|
ret = wc_ecc_export_x963_ex(privKey, out, &pubKeySz, compressed);
|
|
if (ret != 0)
|
|
return ret;
|
|
out += pubKeySz;
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
sharedSecret = (byte*)XMALLOC(sharedSz, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (sharedSecret == NULL)
|
|
return MEMORY_E;
|
|
|
|
keys = (byte*)XMALLOC(ECC_BUFSIZE, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (keys == NULL) {
|
|
XFREE(sharedSecret, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
SAVE_VECTOR_REGISTERS(ret = _svr_ret;);
|
|
|
|
#ifdef WOLFSSL_ECIES_ISO18033
|
|
XMEMCPY(sharedSecret, out - pubKeySz, pubKeySz);
|
|
sharedSz -= pubKeySz;
|
|
#endif
|
|
|
|
do {
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
ret = wc_AsyncWait(ret, &privKey->asyncDev, WC_ASYNC_FLAG_CALL_AGAIN);
|
|
if (ret != 0)
|
|
break;
|
|
#endif
|
|
#ifndef WOLFSSL_ECIES_ISO18033
|
|
ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz);
|
|
#else
|
|
ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret + pubKeySz,
|
|
&sharedSz);
|
|
#endif
|
|
}
|
|
while (ret == WC_NO_ERR_TRACE(WC_PENDING_E));
|
|
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_ISO18033
|
|
/* KDF data is encoded public key and secret. */
|
|
sharedSz += pubKeySz;
|
|
#endif
|
|
switch (ctx->kdfAlgo) {
|
|
case ecHKDF_SHA256 :
|
|
ret = wc_HKDF(WC_SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
|
|
ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
|
|
keys, (word32)keysLen);
|
|
break;
|
|
case ecHKDF_SHA1 :
|
|
ret = wc_HKDF(WC_SHA, sharedSecret, sharedSz, ctx->kdfSalt,
|
|
ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
|
|
keys, (word32)keysLen);
|
|
break;
|
|
#if defined(HAVE_X963_KDF) && !defined(NO_HASH_WRAPPER)
|
|
case ecKDF_X963_SHA1 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA, sharedSecret, sharedSz,
|
|
ctx->kdfInfo, ctx->kdfInfoSz, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_X963_SHA256 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA256, sharedSecret, sharedSz,
|
|
ctx->kdfInfo, ctx->kdfInfoSz, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_SHA1 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA, sharedSecret, sharedSz,
|
|
NULL, 0, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_SHA256 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA256, sharedSecret, sharedSz,
|
|
NULL, 0, keys, (word32)keysLen);
|
|
break;
|
|
#endif
|
|
|
|
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
encKey = keys + offset;
|
|
encIv = encKey + encKeySz;
|
|
macKey = encKey + encKeySz + ivSz;
|
|
#elif defined(WOLFSSL_ECIES_GEN_IV)
|
|
encKey = keys + offset;
|
|
encIv = out;
|
|
out += ivSz;
|
|
macKey = encKey + encKeySz;
|
|
ret = wc_RNG_GenerateBlock(privKey->rng, encIv, ivSz);
|
|
#else
|
|
XMEMSET(iv, 0, (size_t)ivSz);
|
|
encKey = keys + offset;
|
|
encIv = iv;
|
|
macKey = encKey + encKeySz;
|
|
#endif
|
|
}
|
|
|
|
if (ret == 0) {
|
|
switch (ctx->encAlgo) {
|
|
case ecAES_128_CBC:
|
|
case ecAES_256_CBC:
|
|
{
|
|
#if !defined(NO_AES) && defined(HAVE_AES_CBC)
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
Aes *aes = (Aes *)XMALLOC(sizeof *aes, ctx->heap,
|
|
DYNAMIC_TYPE_AES);
|
|
if (aes == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#else
|
|
Aes aes[1];
|
|
#endif
|
|
ret = wc_AesInit(aes, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
ret = wc_AesSetKey(aes, encKey, (word32)encKeySz, encIv,
|
|
AES_ENCRYPTION);
|
|
if (ret == 0) {
|
|
ret = wc_AesCbcEncrypt(aes, out, msg, msgSz);
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && \
|
|
defined(WC_ASYNC_ENABLE_AES)
|
|
ret = wc_AsyncWait(ret, &aes->asyncDev,
|
|
WC_ASYNC_FLAG_NONE);
|
|
#endif
|
|
}
|
|
wc_AesFree(aes);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(aes, ctx->heap, DYNAMIC_TYPE_AES);
|
|
#endif
|
|
#else
|
|
ret = NOT_COMPILED_IN;
|
|
#endif
|
|
break;
|
|
}
|
|
case ecAES_128_CTR:
|
|
case ecAES_256_CTR:
|
|
{
|
|
#if !defined(NO_AES) && defined(WOLFSSL_AES_COUNTER)
|
|
byte ctr_iv[WC_AES_BLOCK_SIZE];
|
|
#ifndef WOLFSSL_SMALL_STACK
|
|
Aes aes[1];
|
|
#else
|
|
Aes *aes = (Aes *)XMALLOC(sizeof *aes, ctx->heap,
|
|
DYNAMIC_TYPE_AES);
|
|
if (aes == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#endif
|
|
|
|
/* Include 4 byte counter starting at all zeros. */
|
|
XMEMCPY(ctr_iv, encIv, WOLFSSL_ECIES_GEN_IV_SIZE);
|
|
XMEMSET(ctr_iv + WOLFSSL_ECIES_GEN_IV_SIZE, 0,
|
|
WC_AES_BLOCK_SIZE - WOLFSSL_ECIES_GEN_IV_SIZE);
|
|
|
|
ret = wc_AesInit(aes, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
ret = wc_AesSetKey(aes, encKey, (word32)encKeySz, ctr_iv,
|
|
AES_ENCRYPTION);
|
|
if (ret == 0) {
|
|
ret = wc_AesCtrEncrypt(aes, out, msg, msgSz);
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && \
|
|
defined(WC_ASYNC_ENABLE_AES)
|
|
ret = wc_AsyncWait(ret, &aes->asyncDev,
|
|
WC_ASYNC_FLAG_NONE);
|
|
#endif
|
|
}
|
|
wc_AesFree(aes);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(aes, ctx->heap, DYNAMIC_TYPE_AES);
|
|
#endif
|
|
#else
|
|
ret = NOT_COMPILED_IN;
|
|
#endif
|
|
break;
|
|
}
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
switch (ctx->macAlgo) {
|
|
case ecHMAC_SHA256:
|
|
{
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
Hmac *hmac = (Hmac *)XMALLOC(sizeof *hmac, ctx->heap,
|
|
DYNAMIC_TYPE_HMAC);
|
|
if (hmac == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#else
|
|
Hmac hmac[1];
|
|
#endif
|
|
ret = wc_HmacInit(hmac, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
ret = wc_HmacSetKey(hmac, WC_SHA256, macKey,
|
|
WC_SHA256_DIGEST_SIZE);
|
|
if (ret == 0) {
|
|
#if !defined(WOLFSSL_ECIES_GEN_IV)
|
|
ret = wc_HmacUpdate(hmac, out, msgSz);
|
|
#else
|
|
/* IV is before encrypted message. */
|
|
ret = wc_HmacUpdate(hmac, encIv, ivSz + msgSz);
|
|
#endif
|
|
}
|
|
if (ret == 0)
|
|
ret = wc_HmacUpdate(hmac, ctx->macSalt, ctx->macSaltSz);
|
|
if (ret == 0)
|
|
ret = wc_HmacFinal(hmac, out+msgSz);
|
|
wc_HmacFree(hmac);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(hmac, ctx->heap, DYNAMIC_TYPE_HMAC);
|
|
#endif
|
|
break;
|
|
}
|
|
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
*outSz = msgSz + digestSz;
|
|
#elif defined(WOLFSSL_ECIES_GEN_IV)
|
|
*outSz = pubKeySz + ivSz + msgSz + digestSz;
|
|
#else
|
|
*outSz = pubKeySz + msgSz + digestSz;
|
|
#endif
|
|
}
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(sharedSecret, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(keys, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
/* ecc encrypt with shared secret run through kdf
|
|
ctx holds non default algos and inputs
|
|
msgSz should be the right size for encAlgo, i.e., already padded
|
|
return 0 on success */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_encrypt(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
|
|
word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx)
|
|
{
|
|
return wc_ecc_encrypt_ex(privKey, pubKey, msg, msgSz, out, outSz, ctx, 0);
|
|
}
|
|
|
|
/* ecc decrypt with shared secret run through kdf
|
|
ctx holds non default algos and inputs
|
|
return 0 on success */
|
|
WOLFSSL_ABI
|
|
int wc_ecc_decrypt(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
|
|
word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx)
|
|
{
|
|
int ret = 0;
|
|
word32 blockSz = 0;
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
#ifndef WOLFSSL_ECIES_GEN_IV
|
|
byte iv[ECC_MAX_IV_SIZE];
|
|
#endif
|
|
word32 pubKeySz = 0;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
ecc_key* peerKey = NULL;
|
|
#else
|
|
ecc_key peerKey[1];
|
|
#endif
|
|
#endif
|
|
word32 digestSz = 0;
|
|
ecEncCtx localCtx;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
byte* sharedSecret;
|
|
byte* keys;
|
|
#else
|
|
#if defined(WOLFSSL_ECIES_OLD) || !defined(WOLFSSL_ECIES_ISO18033)
|
|
byte sharedSecret[ECC_MAXSIZE]; /* 521 max size */
|
|
#else
|
|
byte sharedSecret[ECC_MAXSIZE * 3 + 1]; /* Public key too */
|
|
#endif
|
|
byte keys[ECC_BUFSIZE]; /* max size */
|
|
#endif
|
|
#if defined(WOLFSSL_ECIES_OLD) || !defined(WOLFSSL_ECIES_ISO18033)
|
|
word32 sharedSz = ECC_MAXSIZE;
|
|
#else
|
|
word32 sharedSz = ECC_MAXSIZE * 3 + 1;
|
|
#endif
|
|
int keysLen = 0;
|
|
int encKeySz = 0;
|
|
int ivSz = 0;
|
|
int offset = 0; /* in case using msg exchange */
|
|
byte* encKey = NULL;
|
|
const byte* encIv = NULL;
|
|
byte* macKey = NULL;
|
|
|
|
|
|
if (privKey == NULL || msg == NULL || out == NULL || outSz == NULL)
|
|
return BAD_FUNC_ARG;
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
if (pubKey == NULL)
|
|
return BAD_FUNC_ARG;
|
|
#endif
|
|
|
|
if (ctx == NULL) { /* use defaults */
|
|
ecc_ctx_init(&localCtx, 0, NULL);
|
|
ctx = &localCtx;
|
|
}
|
|
|
|
ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
|
|
&blockSz);
|
|
if (ret != 0)
|
|
return ret;
|
|
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
ret = ecc_public_key_size(privKey, &pubKeySz);
|
|
if (ret != 0)
|
|
return ret;
|
|
#ifdef HAVE_COMP_KEY
|
|
if ((msgSz > 1) && ((msg[0] == 0x02) || (msg[0] == 0x03))) {
|
|
pubKeySz = (pubKeySz / 2) + 1;
|
|
}
|
|
#endif /* HAVE_COMP_KEY */
|
|
#endif /* WOLFSSL_ECIES_OLD */
|
|
|
|
if (ctx->protocol == REQ_RESP_CLIENT) {
|
|
offset = keysLen;
|
|
keysLen *= 2;
|
|
|
|
if (ctx->cliSt != ecCLI_SENT_REQ)
|
|
return BAD_STATE_E;
|
|
|
|
ctx->cliSt = ecSRV_BAD_STATE; /* we're done no more ops allowed */
|
|
}
|
|
else if (ctx->protocol == REQ_RESP_SERVER) {
|
|
if (ctx->srvSt != ecSRV_SALT_SET)
|
|
return BAD_STATE_E;
|
|
|
|
ctx->srvSt = ecSRV_RECV_REQ; /* only do this once */
|
|
}
|
|
|
|
if (keysLen > ECC_BUFSIZE) /* keys size */
|
|
return BUFFER_E;
|
|
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
if (((msgSz - digestSz) % blockSz) != 0)
|
|
return BAD_PADDING_E;
|
|
|
|
if (*outSz < (msgSz - digestSz))
|
|
return BUFFER_E;
|
|
#elif defined(WOLFSSL_ECIES_GEN_IV)
|
|
if (((msgSz - ivSz - digestSz - pubKeySz) % blockSz) != 0)
|
|
return BAD_PADDING_E;
|
|
|
|
if (msgSz < pubKeySz + ivSz + blockSz + digestSz)
|
|
return BAD_FUNC_ARG;
|
|
if (*outSz < (msgSz - ivSz - digestSz - pubKeySz))
|
|
return BUFFER_E;
|
|
#else
|
|
if (((msgSz - digestSz - pubKeySz) % blockSz) != 0)
|
|
return BAD_PADDING_E;
|
|
|
|
if (msgSz < pubKeySz + blockSz + digestSz)
|
|
return BAD_FUNC_ARG;
|
|
if (*outSz < (msgSz - digestSz - pubKeySz))
|
|
return BUFFER_E;
|
|
#endif
|
|
|
|
#ifdef ECC_TIMING_RESISTANT
|
|
if (ctx->rng != NULL && privKey->rng == NULL)
|
|
privKey->rng = ctx->rng;
|
|
#endif
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
sharedSecret = (byte*)XMALLOC(sharedSz, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (sharedSecret == NULL) {
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (pubKey == peerKey)
|
|
wc_ecc_free(peerKey);
|
|
#endif
|
|
return MEMORY_E;
|
|
}
|
|
|
|
keys = (byte*)XMALLOC(ECC_BUFSIZE, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (keys == NULL) {
|
|
XFREE(sharedSecret, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (pubKey == peerKey)
|
|
wc_ecc_free(peerKey);
|
|
#endif
|
|
return MEMORY_E;
|
|
}
|
|
#endif
|
|
|
|
SAVE_VECTOR_REGISTERS(ret = _svr_ret;);
|
|
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (pubKey == NULL) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
peerKey = (ecc_key*)XMALLOC(sizeof(*peerKey), ctx->heap,
|
|
DYNAMIC_TYPE_ECC_BUFFER);
|
|
if (peerKey == NULL)
|
|
ret = MEMORY_E;
|
|
#endif
|
|
pubKey = peerKey;
|
|
}
|
|
else {
|
|
/* if a public key was passed in we should free it here before init
|
|
* and import */
|
|
wc_ecc_free(pubKey);
|
|
}
|
|
if (ret == 0) {
|
|
ret = wc_ecc_init_ex(pubKey, privKey->heap, INVALID_DEVID);
|
|
}
|
|
if (ret == 0) {
|
|
ret = wc_ecc_import_x963_ex(msg, pubKeySz, pubKey, privKey->dp->id);
|
|
}
|
|
if (ret == 0) {
|
|
/* Point is not MACed. */
|
|
msg += pubKeySz;
|
|
msgSz -= pubKeySz;
|
|
}
|
|
#endif
|
|
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_ISO18033
|
|
XMEMCPY(sharedSecret, msg - pubKeySz, pubKeySz);
|
|
sharedSz -= pubKeySz;
|
|
#endif
|
|
|
|
do {
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
|
|
ret = wc_AsyncWait(ret, &privKey->asyncDev,
|
|
WC_ASYNC_FLAG_CALL_AGAIN);
|
|
if (ret != 0)
|
|
break;
|
|
#endif
|
|
#ifndef WOLFSSL_ECIES_ISO18033
|
|
ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret,
|
|
&sharedSz);
|
|
#else
|
|
ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret +
|
|
pubKeySz, &sharedSz);
|
|
#endif
|
|
} while (ret == WC_NO_ERR_TRACE(WC_PENDING_E));
|
|
}
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_ISO18033
|
|
/* KDF data is encoded public key and secret. */
|
|
sharedSz += pubKeySz;
|
|
#endif
|
|
switch (ctx->kdfAlgo) {
|
|
case ecHKDF_SHA256 :
|
|
ret = wc_HKDF(WC_SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
|
|
ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
|
|
keys, (word32)keysLen);
|
|
break;
|
|
case ecHKDF_SHA1 :
|
|
ret = wc_HKDF(WC_SHA, sharedSecret, sharedSz, ctx->kdfSalt,
|
|
ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
|
|
keys, (word32)keysLen);
|
|
break;
|
|
#if defined(HAVE_X963_KDF) && !defined(NO_HASH_WRAPPER)
|
|
case ecKDF_X963_SHA1 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA, sharedSecret, sharedSz,
|
|
ctx->kdfInfo, ctx->kdfInfoSz, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_X963_SHA256 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA256, sharedSecret, sharedSz,
|
|
ctx->kdfInfo, ctx->kdfInfoSz, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_SHA1 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA, sharedSecret, sharedSz,
|
|
NULL, 0, keys, (word32)keysLen);
|
|
break;
|
|
case ecKDF_SHA256 :
|
|
ret = wc_X963_KDF(WC_HASH_TYPE_SHA256, sharedSecret, sharedSz,
|
|
NULL, 0, keys, (word32)keysLen);
|
|
break;
|
|
#endif
|
|
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
#ifdef WOLFSSL_ECIES_OLD
|
|
encKey = keys + offset;
|
|
encIv = encKey + encKeySz;
|
|
macKey = encKey + encKeySz + ivSz;
|
|
#elif defined(WOLFSSL_ECIES_GEN_IV)
|
|
encKey = keys + offset;
|
|
encIv = msg;
|
|
msg += ivSz;
|
|
msgSz -= ivSz;
|
|
macKey = encKey + encKeySz;
|
|
#else
|
|
XMEMSET(iv, 0, (size_t)ivSz);
|
|
encKey = keys + offset;
|
|
encIv = iv;
|
|
macKey = encKey + encKeySz;
|
|
#endif
|
|
|
|
switch (ctx->macAlgo) {
|
|
case ecHMAC_SHA256:
|
|
{
|
|
byte verify[WC_SHA256_DIGEST_SIZE];
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
Hmac *hmac = (Hmac *)XMALLOC(sizeof *hmac, ctx->heap,
|
|
DYNAMIC_TYPE_HMAC);
|
|
if (hmac == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#else
|
|
Hmac hmac[1];
|
|
#endif
|
|
ret = wc_HmacInit(hmac, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
ret = wc_HmacSetKey(hmac, WC_SHA256, macKey,
|
|
WC_SHA256_DIGEST_SIZE);
|
|
if (ret == 0)
|
|
#if !defined(WOLFSSL_ECIES_GEN_IV)
|
|
ret = wc_HmacUpdate(hmac, msg, msgSz-digestSz);
|
|
#else
|
|
/* IV is before encrypted message. */
|
|
ret = wc_HmacUpdate(hmac, encIv, ivSz+msgSz-digestSz);
|
|
#endif
|
|
if (ret == 0)
|
|
ret = wc_HmacUpdate(hmac, ctx->macSalt, ctx->macSaltSz);
|
|
|
|
if (ret == 0)
|
|
ret = wc_HmacFinal(hmac, verify);
|
|
if ((ret == 0) && (XMEMCMP(verify, msg + msgSz - digestSz,
|
|
digestSz) != 0)) {
|
|
ret = HASH_TYPE_E;
|
|
WOLFSSL_MSG("ECC Decrypt HMAC Check failed!");
|
|
}
|
|
|
|
wc_HmacFree(hmac);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(hmac, ctx->heap, DYNAMIC_TYPE_HMAC);
|
|
#endif
|
|
break;
|
|
}
|
|
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0) {
|
|
switch (ctx->encAlgo) {
|
|
#if !defined(NO_AES) && defined(HAVE_AES_CBC)
|
|
case ecAES_128_CBC:
|
|
case ecAES_256_CBC:
|
|
{
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
Aes *aes = (Aes *)XMALLOC(sizeof *aes, ctx->heap,
|
|
DYNAMIC_TYPE_AES);
|
|
if (aes == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#else
|
|
Aes aes[1];
|
|
#endif
|
|
ret = wc_AesInit(aes, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
ret = wc_AesSetKey(aes, encKey, (word32)encKeySz, encIv,
|
|
AES_DECRYPTION);
|
|
if (ret == 0) {
|
|
ret = wc_AesCbcDecrypt(aes, out, msg, msgSz-digestSz);
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && \
|
|
defined(WC_ASYNC_ENABLE_AES)
|
|
ret = wc_AsyncWait(ret, &aes->asyncDev,
|
|
WC_ASYNC_FLAG_NONE);
|
|
#endif
|
|
}
|
|
wc_AesFree(aes);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(aes, ctx->heap, DYNAMIC_TYPE_AES);
|
|
#endif
|
|
break;
|
|
}
|
|
#endif
|
|
#if !defined(NO_AES) && defined(WOLFSSL_AES_COUNTER)
|
|
case ecAES_128_CTR:
|
|
case ecAES_256_CTR:
|
|
{
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
Aes *aes = (Aes *)XMALLOC(sizeof *aes, ctx->heap,
|
|
DYNAMIC_TYPE_AES);
|
|
if (aes == NULL) {
|
|
ret = MEMORY_E;
|
|
break;
|
|
}
|
|
#else
|
|
Aes aes[1];
|
|
#endif
|
|
ret = wc_AesInit(aes, NULL, INVALID_DEVID);
|
|
if (ret == 0) {
|
|
byte ctr_iv[WC_AES_BLOCK_SIZE];
|
|
/* Make a 16 byte IV from the bytes passed in. */
|
|
XMEMCPY(ctr_iv, encIv, WOLFSSL_ECIES_GEN_IV_SIZE);
|
|
XMEMSET(ctr_iv + WOLFSSL_ECIES_GEN_IV_SIZE, 0,
|
|
WC_AES_BLOCK_SIZE - WOLFSSL_ECIES_GEN_IV_SIZE);
|
|
ret = wc_AesSetKey(aes, encKey, (word32)encKeySz, ctr_iv,
|
|
AES_ENCRYPTION);
|
|
if (ret == 0) {
|
|
ret = wc_AesCtrEncrypt(aes, out, msg, msgSz-digestSz);
|
|
#if defined(WOLFSSL_ASYNC_CRYPT) && \
|
|
defined(WC_ASYNC_ENABLE_AES)
|
|
ret = wc_AsyncWait(ret, &aes->asyncDev,
|
|
WC_ASYNC_FLAG_NONE);
|
|
#endif
|
|
}
|
|
wc_AesFree(aes);
|
|
}
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(aes, ctx->heap, DYNAMIC_TYPE_AES);
|
|
#endif
|
|
break;
|
|
}
|
|
#endif
|
|
default:
|
|
ret = BAD_FUNC_ARG;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (ret == 0)
|
|
*outSz = msgSz - digestSz;
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
if (pubKey == peerKey)
|
|
wc_ecc_free(peerKey);
|
|
#endif
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
#ifndef WOLFSSL_ECIES_OLD
|
|
XFREE(peerKey, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
XFREE(sharedSecret, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
XFREE(keys, ctx->heap, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
|
|
#endif /* HAVE_ECC_ENCRYPT */
|
|
|
|
|
|
#ifdef HAVE_COMP_KEY
|
|
#if !defined(WOLFSSL_ATECC508A) && !defined(WOLFSSL_ATECC608A) && \
|
|
!defined(WOLFSSL_CRYPTOCELL)
|
|
|
|
#ifndef WOLFSSL_SP_MATH
|
|
#if !defined(SQRTMOD_USE_MOD_EXP)
|
|
/* computes the jacobi c = (a | n) (or Legendre if n is prime)
|
|
*/
|
|
static int mp_jacobi(mp_int* a, mp_int* n, int* c)
|
|
{
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int* a1 = NULL;
|
|
mp_int* n1 = NULL;
|
|
#else
|
|
mp_int a1[1], n1[1];
|
|
#endif
|
|
int res;
|
|
int s = 1;
|
|
int k;
|
|
mp_int* t[2];
|
|
mp_int* ts;
|
|
mp_digit residue;
|
|
|
|
if (mp_isneg(a) == MP_YES) {
|
|
return MP_VAL;
|
|
}
|
|
if (mp_isneg(n) == MP_YES) {
|
|
return MP_VAL;
|
|
}
|
|
if (mp_iseven(n) == MP_YES) {
|
|
return MP_VAL;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
a1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_BIGINT);
|
|
if (a1 == NULL) {
|
|
return MP_MEM;
|
|
}
|
|
n1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_BIGINT);
|
|
if (n1 == NULL) {
|
|
XFREE(a1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
return MP_MEM;
|
|
}
|
|
#endif
|
|
|
|
if ((res = mp_init_multi(a1, n1, NULL, NULL, NULL, NULL)) != MP_OKAY) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(a1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
XFREE(n1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
#endif
|
|
return res;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
if ((res = mp_mod(a, n, a1)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
if ((res = mp_copy(n, n1)) != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
|
|
t[0] = a1;
|
|
t[1] = n1;
|
|
|
|
/* Keep reducing until first number is 0. */
|
|
while (!mp_iszero(t[0])) {
|
|
/* Divide by 2 until odd. */
|
|
k = mp_cnt_lsb(t[0]);
|
|
if (k > 0) {
|
|
mp_rshb(t[0], k);
|
|
|
|
/* Negate s each time we divide by 2 if t[1] mod 8 == 3 or 5.
|
|
* Odd number of divides results in a negate.
|
|
*/
|
|
residue = t[1]->dp[0] & 7;
|
|
if ((k & 1) && ((residue == 3) || (residue == 5))) {
|
|
s = -s;
|
|
}
|
|
}
|
|
|
|
/* Swap t[0] and t[1]. */
|
|
ts = t[0];
|
|
t[0] = t[1];
|
|
t[1] = ts;
|
|
|
|
/* Negate s if both numbers == 3 mod 4. */
|
|
if (((t[0]->dp[0] & 3) == 3) && ((t[1]->dp[0] & 3) == 3)) {
|
|
s = -s;
|
|
}
|
|
|
|
/* Reduce first number modulo second. */
|
|
if ((k == 0) && (mp_count_bits(t[0]) == mp_count_bits(t[1]))) {
|
|
res = mp_sub(t[0], t[1], t[0]);
|
|
}
|
|
else {
|
|
res = mp_mod(t[0], t[1], t[0]);
|
|
}
|
|
if (res != MP_OKAY) {
|
|
goto done;
|
|
}
|
|
}
|
|
|
|
/* When the two numbers have divisors in common. */
|
|
if (!mp_isone(t[1])) {
|
|
s = 0;
|
|
}
|
|
*c = s;
|
|
|
|
done:
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
/* cleanup */
|
|
mp_clear(n1);
|
|
mp_clear(a1);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(a1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
XFREE(n1, NULL, DYNAMIC_TYPE_BIGINT);
|
|
#endif
|
|
|
|
return res;
|
|
}
|
|
#endif /* !SQRTMOD_USE_MOD_EXP */
|
|
|
|
|
|
/* Solves the modular equation x^2 = n (mod p)
|
|
* where prime number is greater than 2 (odd prime).
|
|
* The result is returned in the third argument x
|
|
* the function returns MP_OKAY on success, MP_VAL or another error on failure
|
|
*/
|
|
static int mp_sqrtmod_prime(mp_int* n, mp_int* prime, mp_int* ret)
|
|
{
|
|
#if defined(SQRTMOD_USE_MOD_EXP)
|
|
int res;
|
|
mp_digit i;
|
|
mp_int e;
|
|
|
|
/* first handle the simple cases n = 0 or n = 1 */
|
|
if (mp_cmp_d(n, 0) == MP_EQ) {
|
|
mp_zero(ret);
|
|
return MP_OKAY;
|
|
}
|
|
if (mp_cmp_d(n, 1) == MP_EQ) {
|
|
return mp_set(ret, 1);
|
|
}
|
|
|
|
if (mp_iseven(prime)) {
|
|
return MP_VAL;
|
|
}
|
|
|
|
SAVE_VECTOR_REGISTERS(return _svr_ret;);
|
|
|
|
res = mp_init(&e);
|
|
if (res == MP_OKAY)
|
|
res = mp_mod_d(prime, 8, &i);
|
|
if (res == MP_OKAY && i == 1) {
|
|
return MP_VAL;
|
|
}
|
|
/* prime mod 8 = 5 */
|
|
else if (res == MP_OKAY && i == 5) {
|
|
res = mp_sub_d(prime, 1, &e);
|
|
if (res == MP_OKAY)
|
|
res = mp_div_2d(&e, 2, &e, NULL);
|
|
}
|
|
/* prime mod 4 = 3 */
|
|
else if (res == MP_OKAY && ((i == 3) || (i == 7))) {
|
|
res = mp_add_d(prime, 1, &e);
|
|
if (res == MP_OKAY)
|
|
res = mp_div_2d(&e, 2, &e, NULL);
|
|
}
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(n, &e, prime, ret);
|
|
|
|
mp_clear(&e);
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
return res;
|
|
#else
|
|
int res, legendre, done = 0;
|
|
mp_digit i;
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
mp_int *t1 = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *C = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *Q = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *S = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *Z = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *M = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *T = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *R = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *N = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
mp_int *two = (mp_int *)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
#else
|
|
mp_int t1[1], C[1], Q[1], S[1], Z[1], M[1], T[1], R[1], N[1], two[1];
|
|
#endif
|
|
|
|
SAVE_VECTOR_REGISTERS(res = _svr_ret; goto out;);
|
|
|
|
if ((mp_init_multi(t1, C, Q, S, Z, M) != MP_OKAY) ||
|
|
(mp_init_multi(T, R, N, two, NULL, NULL) != MP_OKAY)) {
|
|
res = MP_INIT_E;
|
|
goto out;
|
|
}
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if ((t1 == NULL) ||
|
|
(C == NULL) ||
|
|
(Q == NULL) ||
|
|
(S == NULL) ||
|
|
(Z == NULL) ||
|
|
(M == NULL) ||
|
|
(T == NULL) ||
|
|
(R == NULL) ||
|
|
(N == NULL) ||
|
|
(two == NULL)) {
|
|
res = MP_MEM;
|
|
goto out;
|
|
}
|
|
#endif
|
|
|
|
/* first handle the simple cases n = 0 or n = 1 */
|
|
if (mp_cmp_d(n, 0) == MP_EQ) {
|
|
mp_zero(ret);
|
|
res = MP_OKAY;
|
|
goto out;
|
|
}
|
|
if (mp_cmp_d(n, 1) == MP_EQ) {
|
|
res = mp_set(ret, 1);
|
|
goto out;
|
|
}
|
|
|
|
/* prime must be odd */
|
|
if (mp_cmp_d(prime, 2) == MP_EQ) {
|
|
res = MP_VAL;
|
|
goto out;
|
|
}
|
|
|
|
/* reduce n to less than prime */
|
|
res = mp_mod(n, prime, N);
|
|
if (res != MP_OKAY) {
|
|
goto out;
|
|
}
|
|
/* when N is zero, sqrt is zero */
|
|
if (mp_iszero(N)) {
|
|
mp_set(ret, 0);
|
|
goto out;
|
|
}
|
|
|
|
/* is quadratic non-residue mod prime */
|
|
if ((res = mp_jacobi(N, prime, &legendre)) != MP_OKAY) {
|
|
goto out;
|
|
}
|
|
if (legendre == -1) {
|
|
res = MP_VAL;
|
|
goto out;
|
|
}
|
|
|
|
/* SPECIAL CASE: if prime mod 4 == 3
|
|
* compute directly: res = n^(prime+1)/4 mod prime
|
|
* Handbook of Applied Cryptography algorithm 3.36
|
|
*/
|
|
res = mp_mod_d(prime, 4, &i);
|
|
if (res == MP_OKAY && i == 3) {
|
|
res = mp_add_d(prime, 1, t1);
|
|
|
|
if (res == MP_OKAY)
|
|
res = mp_div_2(t1, t1);
|
|
if (res == MP_OKAY)
|
|
res = mp_div_2(t1, t1);
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(N, t1, prime, ret);
|
|
|
|
done = 1;
|
|
}
|
|
|
|
/* NOW: TonelliShanks algorithm */
|
|
if (res == MP_OKAY && done == 0) {
|
|
|
|
/* factor out powers of 2 from prime-1, defining Q and S
|
|
* as: prime-1 = Q*2^S */
|
|
/* Q = prime - 1 */
|
|
res = mp_copy(prime, Q);
|
|
if (res == MP_OKAY)
|
|
res = mp_sub_d(Q, 1, Q);
|
|
|
|
/* S = 0 */
|
|
if (res == MP_OKAY)
|
|
mp_zero(S);
|
|
|
|
while (res == MP_OKAY && mp_iseven(Q) == MP_YES) {
|
|
/* Q = Q / 2 */
|
|
res = mp_div_2(Q, Q);
|
|
|
|
/* S = S + 1 */
|
|
if (res == MP_OKAY)
|
|
res = mp_add_d(S, 1, S);
|
|
}
|
|
|
|
/* find a Z such that the Legendre symbol (Z|prime) == -1 */
|
|
/* Z = 2 */
|
|
if (res == MP_OKAY)
|
|
res = mp_set_int(Z, 2);
|
|
|
|
while (res == MP_OKAY) {
|
|
res = mp_jacobi(Z, prime, &legendre);
|
|
if (res == MP_OKAY && legendre == -1)
|
|
break;
|
|
|
|
#if defined(WOLFSSL_CUSTOM_CURVES)
|
|
/* P224R1 succeeds with a value of 11. */
|
|
if (mp_cmp_d(Z, 22) == MP_EQ) {
|
|
/* This is to clamp the loop in case 'prime' is not really prime */
|
|
res = MP_VAL;
|
|
break;
|
|
}
|
|
#endif
|
|
|
|
/* Z = Z + 1 */
|
|
if (res == MP_OKAY)
|
|
res = mp_add_d(Z, 1, Z);
|
|
|
|
if ((res == MP_OKAY) && (mp_cmp(Z,prime) == MP_EQ)) {
|
|
/* This is to clamp the loop in case 'prime' is not really prime */
|
|
res = MP_VAL;
|
|
break;
|
|
}
|
|
}
|
|
|
|
/* C = Z ^ Q mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(Z, Q, prime, C);
|
|
|
|
/* t1 = (Q + 1) / 2 */
|
|
if (res == MP_OKAY)
|
|
res = mp_add_d(Q, 1, t1);
|
|
if (res == MP_OKAY)
|
|
res = mp_div_2(t1, t1);
|
|
|
|
/* R = n ^ ((Q + 1) / 2) mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(N, t1, prime, R);
|
|
|
|
/* T = n ^ Q mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(N, Q, prime, T);
|
|
|
|
/* M = S */
|
|
if (res == MP_OKAY)
|
|
res = mp_copy(S, M);
|
|
|
|
if (res == MP_OKAY)
|
|
res = mp_set_int(two, 2);
|
|
|
|
while (res == MP_OKAY && done == 0) {
|
|
res = mp_copy(T, t1);
|
|
|
|
/* reduce to 1 and count */
|
|
i = 0;
|
|
while (res == MP_OKAY) {
|
|
if (mp_cmp_d(t1, 1) == MP_EQ)
|
|
break;
|
|
res = mp_exptmod(t1, two, prime, t1);
|
|
if ((res == MP_OKAY) && (mp_cmp_d(M,i) == MP_EQ)) {
|
|
/* This is to clamp the loop in case 'prime' is not really prime */
|
|
res = MP_VAL;
|
|
break;
|
|
}
|
|
if (res == MP_OKAY)
|
|
i++;
|
|
}
|
|
if (res == MP_OKAY && i == 0) {
|
|
res = mp_copy(R, ret);
|
|
done = 1;
|
|
}
|
|
|
|
if (done == 0) {
|
|
/* t1 = 2 ^ (M - i - 1) */
|
|
if (res == MP_OKAY)
|
|
res = mp_sub_d(M, i, t1);
|
|
if (res == MP_OKAY)
|
|
res = mp_sub_d(t1, 1, t1);
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(two, t1, prime, t1);
|
|
|
|
/* t1 = C ^ (2 ^ (M - i - 1)) mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_exptmod(C, t1, prime, t1);
|
|
|
|
/* C = (t1 * t1) mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_sqrmod(t1, prime, C);
|
|
|
|
/* R = (R * t1) mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_mulmod(R, t1, prime, R);
|
|
|
|
/* T = (T * C) mod prime */
|
|
if (res == MP_OKAY)
|
|
res = mp_mulmod(T, C, prime, T);
|
|
|
|
/* M = i */
|
|
if (res == MP_OKAY)
|
|
res = mp_set(M, i);
|
|
}
|
|
}
|
|
}
|
|
|
|
out:
|
|
|
|
RESTORE_VECTOR_REGISTERS();
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
if (t1) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(t1);
|
|
XFREE(t1, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (C) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(C);
|
|
XFREE(C, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (Q) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(Q);
|
|
XFREE(Q, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (S) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(S);
|
|
XFREE(S, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (Z) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(Z);
|
|
XFREE(Z, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (M) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(M);
|
|
XFREE(M, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (T) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(T);
|
|
XFREE(T, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (R) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(R);
|
|
XFREE(R, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (N) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(N);
|
|
XFREE(N, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
if (two) {
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E))
|
|
mp_clear(two);
|
|
XFREE(two, NULL, DYNAMIC_TYPE_ECC_BUFFER);
|
|
}
|
|
#else
|
|
if (res != WC_NO_ERR_TRACE(MP_INIT_E)) {
|
|
mp_clear(t1);
|
|
mp_clear(C);
|
|
mp_clear(Q);
|
|
mp_clear(S);
|
|
mp_clear(Z);
|
|
mp_clear(M);
|
|
mp_clear(T);
|
|
mp_clear(R);
|
|
mp_clear(N);
|
|
mp_clear(two);
|
|
}
|
|
#endif
|
|
|
|
return res;
|
|
#endif
|
|
}
|
|
#endif /* !WOLFSSL_SP_MATH */
|
|
#endif /* !WOLFSSL_ATECC508A && !WOLFSSL_ATECC608A && !WOLFSSL_CRYPTOCELL */
|
|
|
|
#ifdef HAVE_ECC_KEY_EXPORT
|
|
/* export public ECC key in ANSI X9.63 format compressed */
|
|
static int wc_ecc_export_x963_compressed(ecc_key* key, byte* out, word32* outLen)
|
|
{
|
|
word32 numlen;
|
|
int ret = MP_OKAY;
|
|
|
|
if (key == NULL || outLen == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (key->type == ECC_PRIVATEKEY_ONLY)
|
|
return ECC_PRIVATEONLY_E;
|
|
|
|
if (key->type == 0 || wc_ecc_is_valid_idx(key->idx) == 0 || key->dp == NULL){
|
|
return ECC_BAD_ARG_E;
|
|
}
|
|
|
|
numlen = (word32)key->dp->size;
|
|
|
|
if (*outLen < (1 + numlen)) {
|
|
*outLen = 1 + numlen;
|
|
return WC_NO_ERR_TRACE(LENGTH_ONLY_E);
|
|
}
|
|
|
|
if (out == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
if (mp_unsigned_bin_size(key->pubkey.x) > (int)numlen)
|
|
return ECC_BAD_ARG_E;
|
|
|
|
/* store first byte */
|
|
out[0] = mp_isodd(key->pubkey.y) == MP_YES ? ECC_POINT_COMP_ODD : ECC_POINT_COMP_EVEN;
|
|
|
|
/* pad and store x */
|
|
XMEMSET(out+1, 0, numlen);
|
|
ret = mp_to_unsigned_bin(
|
|
key->pubkey.x,
|
|
out+1 + (numlen - (word32)mp_unsigned_bin_size(key->pubkey.x)));
|
|
*outLen = 1 + numlen;
|
|
|
|
return ret;
|
|
}
|
|
#endif /* HAVE_ECC_KEY_EXPORT */
|
|
#endif /* HAVE_COMP_KEY */
|
|
|
|
#ifdef HAVE_OID_ENCODING
|
|
int wc_ecc_oid_cache_init(void)
|
|
{
|
|
int ret = 0;
|
|
#if !defined(SINGLE_THREADED) && !defined(WOLFSSL_MUTEX_INITIALIZER)
|
|
ret = wc_InitMutex(&ecc_oid_cache_lock);
|
|
#endif
|
|
return ret;
|
|
}
|
|
|
|
void wc_ecc_oid_cache_free(void)
|
|
{
|
|
#if !defined(SINGLE_THREADED) && !defined(WOLFSSL_MUTEX_INITIALIZER)
|
|
wc_FreeMutex(&ecc_oid_cache_lock);
|
|
#endif
|
|
}
|
|
#endif /* HAVE_OID_ENCODING */
|
|
|
|
int wc_ecc_get_oid(word32 oidSum, const byte** oid, word32* oidSz)
|
|
{
|
|
int x;
|
|
int ret = WC_NO_ERR_TRACE(NOT_COMPILED_IN);
|
|
#ifdef HAVE_OID_ENCODING
|
|
oid_cache_t* o = NULL;
|
|
#endif
|
|
|
|
if (oidSum == 0) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
#ifdef HAVE_OID_ENCODING
|
|
#ifndef WOLFSSL_MUTEX_INITIALIZER
|
|
/* extra sanity check if wolfCrypt_Init not called */
|
|
if (eccOidLockInit == 0) {
|
|
wc_InitMutex(&ecc_oid_cache_lock);
|
|
eccOidLockInit = 1;
|
|
}
|
|
#endif
|
|
|
|
if (wc_LockMutex(&ecc_oid_cache_lock) != 0) {
|
|
return BAD_MUTEX_E;
|
|
}
|
|
#endif
|
|
|
|
/* find matching OID sum (based on encoded value) */
|
|
for (x = 0; ecc_sets[x].size != 0; x++) {
|
|
if (ecc_sets[x].oidSum == oidSum) {
|
|
#ifdef HAVE_OID_ENCODING
|
|
/* check cache */
|
|
ret = 0;
|
|
o = &ecc_oid_cache[x];
|
|
if (o->oidSz == 0) {
|
|
o->oidSz = sizeof(o->oid);
|
|
ret = EncodeObjectId(ecc_sets[x].oid, ecc_sets[x].oidSz,
|
|
o->oid, &o->oidSz);
|
|
}
|
|
if (oidSz) {
|
|
*oidSz = o->oidSz;
|
|
}
|
|
if (oid) {
|
|
*oid = o->oid;
|
|
}
|
|
|
|
/* on success return curve id */
|
|
if (ret == 0) {
|
|
ret = ecc_sets[x].id;
|
|
}
|
|
break;
|
|
#else
|
|
if (oidSz) {
|
|
*oidSz = ecc_sets[x].oidSz;
|
|
}
|
|
if (oid) {
|
|
*oid = ecc_sets[x].oid;
|
|
}
|
|
ret = ecc_sets[x].id;
|
|
break;
|
|
#endif
|
|
}
|
|
}
|
|
|
|
#ifdef HAVE_OID_ENCODING
|
|
wc_UnLockMutex(&ecc_oid_cache_lock);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
|
|
#ifdef WOLFSSL_CUSTOM_CURVES
|
|
int wc_ecc_set_custom_curve(ecc_key* key, const ecc_set_type* dp)
|
|
{
|
|
if (key == NULL || dp == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
key->idx = ECC_CUSTOM_IDX;
|
|
key->dp = dp;
|
|
|
|
return 0;
|
|
}
|
|
#endif /* WOLFSSL_CUSTOM_CURVES */
|
|
|
|
#if defined(HAVE_X963_KDF) && !defined(NO_HASH_WRAPPER)
|
|
|
|
static WC_INLINE void IncrementX963KdfCounter(byte* inOutCtr)
|
|
{
|
|
int i;
|
|
|
|
/* in network byte order so start at end and work back */
|
|
for (i = 3; i >= 0; i--) {
|
|
if (++inOutCtr[i]) /* we're done unless we overflow */
|
|
return;
|
|
}
|
|
}
|
|
|
|
/* ASN X9.63 Key Derivation Function (SEC1) */
|
|
int wc_X963_KDF(enum wc_HashType type, const byte* secret, word32 secretSz,
|
|
const byte* sinfo, word32 sinfoSz, byte* out, word32 outSz)
|
|
{
|
|
int ret;
|
|
word32 digestSz, copySz, remaining = outSz;
|
|
byte* outIdx;
|
|
byte counter[4];
|
|
byte tmp[WC_MAX_DIGEST_SIZE];
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
wc_HashAlg* hash;
|
|
#else
|
|
wc_HashAlg hash[1];
|
|
#endif
|
|
|
|
if (secret == NULL || secretSz == 0 || out == NULL)
|
|
return BAD_FUNC_ARG;
|
|
|
|
/* X9.63 allowed algos only */
|
|
if (type != WC_HASH_TYPE_SHA && type != WC_HASH_TYPE_SHA224 &&
|
|
type != WC_HASH_TYPE_SHA256 && type != WC_HASH_TYPE_SHA384 &&
|
|
type != WC_HASH_TYPE_SHA512)
|
|
return BAD_FUNC_ARG;
|
|
|
|
ret = wc_HashGetDigestSize(type);
|
|
if (ret < 0)
|
|
return ret;
|
|
digestSz = (word32)ret;
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
hash = (wc_HashAlg*)XMALLOC(sizeof(wc_HashAlg), NULL,
|
|
DYNAMIC_TYPE_HASHES);
|
|
if (hash == NULL)
|
|
return MEMORY_E;
|
|
#endif
|
|
|
|
ret = wc_HashInit(hash, type);
|
|
if (ret != 0) {
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
|
|
#endif
|
|
return ret;
|
|
}
|
|
|
|
outIdx = out;
|
|
XMEMSET(counter, 0, sizeof(counter));
|
|
|
|
while (remaining > 0) {
|
|
|
|
IncrementX963KdfCounter(counter);
|
|
|
|
ret = wc_HashUpdate(hash, type, secret, secretSz);
|
|
if (ret != 0) {
|
|
break;
|
|
}
|
|
|
|
ret = wc_HashUpdate(hash, type, counter, sizeof(counter));
|
|
if (ret != 0) {
|
|
break;
|
|
}
|
|
|
|
if (sinfo) {
|
|
ret = wc_HashUpdate(hash, type, sinfo, sinfoSz);
|
|
if (ret != 0) {
|
|
break;
|
|
}
|
|
}
|
|
|
|
ret = wc_HashFinal(hash, type, tmp);
|
|
if (ret != 0) {
|
|
break;
|
|
}
|
|
|
|
copySz = min(remaining, digestSz);
|
|
XMEMCPY(outIdx, tmp, copySz);
|
|
|
|
remaining -= copySz;
|
|
outIdx += copySz;
|
|
}
|
|
|
|
wc_HashFree(hash, type);
|
|
|
|
#ifdef WOLFSSL_SMALL_STACK
|
|
XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
|
|
#endif
|
|
|
|
return ret;
|
|
}
|
|
#endif /* HAVE_X963_KDF && !NO_HASH_WRAPPER */
|
|
|
|
#ifdef WOLFSSL_SE050
|
|
/* Use specified hardware key ID with ecc_key operations. Unlike devId,
|
|
* keyId is a word32, can be used for key IDs larger than an int.
|
|
*
|
|
* key initialized ecc_key struct
|
|
* keyId hardware key ID which stores ECC key
|
|
* flags optional flags, currently unused
|
|
*
|
|
* Return 0 on success, negative on error */
|
|
int wc_ecc_use_key_id(ecc_key* key, word32 keyId, word32 flags)
|
|
{
|
|
(void)flags;
|
|
|
|
if (key == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
return se050_ecc_use_key_id(key, keyId);
|
|
}
|
|
|
|
/* Get hardware key ID associated with this ecc_key structure.
|
|
*
|
|
* key initialized ecc_key struct
|
|
* keyId [OUT] output for key ID associated with this structure
|
|
*
|
|
* Returns 0 on success, negative on error.
|
|
*/
|
|
int wc_ecc_get_key_id(ecc_key* key, word32* keyId)
|
|
{
|
|
if (key == NULL || keyId == NULL) {
|
|
return BAD_FUNC_ARG;
|
|
}
|
|
|
|
return se050_ecc_get_key_id(key, keyId);
|
|
}
|
|
#endif /* WOLFSSL_SE050 */
|
|
|
|
|
|
#ifdef WC_ECC_NONBLOCK
|
|
/* Enable ECC support for non-blocking operations */
|
|
int wc_ecc_set_nonblock(ecc_key *key, ecc_nb_ctx_t* ctx)
|
|
{
|
|
if (key) {
|
|
if (ctx) {
|
|
XMEMSET(ctx, 0, sizeof(ecc_nb_ctx_t));
|
|
}
|
|
key->nb_ctx = ctx;
|
|
}
|
|
return 0;
|
|
}
|
|
#endif /* WC_ECC_NONBLOCK */
|
|
|
|
#endif /* HAVE_ECC */
|