Xuyi Wang
/
wolfSSL
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Diff: wolfcrypt/src/ecc.c
- Revision:
- 17:ff9d1e86ad5f
- Parent:
- 16:048e5e270a58
diff -r 048e5e270a58 -r ff9d1e86ad5f wolfcrypt/src/ecc.c
--- a/wolfcrypt/src/ecc.c Tue Nov 19 14:32:16 2019 +0000
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,9590 +0,0 @@
-/* ecc.c
- *
- * Copyright (C) 2006-2017 wolfSSL Inc.
- *
- * This file is part of wolfSSL.
- *
- * wolfSSL is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 2 of the License, or
- * (at your option) any later version.
- *
- * wolfSSL is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
- */
-
-
-
-#ifdef HAVE_CONFIG_H
- #include <config.h>
-#endif
-
-/* in case user set HAVE_ECC there */
-#include <wolfssl/wolfcrypt/settings.h>
-
-/*
-Possible ECC enable options:
- * HAVE_ECC: Overall control of ECC default: on
- * HAVE_ECC_ENCRYPT: ECC encrypt/decrypt w/AES and HKDF default: off
- * HAVE_ECC_SIGN: ECC sign default: on
- * HAVE_ECC_VERIFY: ECC verify default: on
- * HAVE_ECC_DHE: ECC build shared secret default: on
- * HAVE_ECC_CDH: ECC cofactor DH shared secret default: off
- * HAVE_ECC_KEY_IMPORT: ECC Key import default: on
- * HAVE_ECC_KEY_EXPORT: ECC Key export default: on
- * ECC_SHAMIR: Enables Shamir calc method default: on
- * HAVE_COMP_KEY: Enables compressed key default: off
- * WOLFSSL_VALIDATE_ECC_IMPORT: Validate ECC key on import default: off
- * WOLFSSL_VALIDATE_ECC_KEYGEN: Validate ECC key gen default: off
- * WOLFSSL_CUSTOM_CURVES: Allow non-standard curves. default: off
- * Includes the curve "a" variable in calculation
- * ECC_DUMP_OID: Enables dump of OID encoding and sum default: off
- * ECC_CACHE_CURVE: Enables cache of curve info to improve perofrmance
- default: off
- * FP_ECC: ECC Fixed Point Cache default: off
- * USE_ECC_B_PARAM: Enable ECC curve B param default: off
- (on for HAVE_COMP_KEY)
- */
-
-/*
-ECC Curve Types:
- * NO_ECC_SECP Disables SECP curves default: off (not defined)
- * HAVE_ECC_SECPR2 Enables SECP R2 curves default: off
- * HAVE_ECC_SECPR3 Enables SECP R3 curves default: off
- * HAVE_ECC_BRAINPOOL Enables Brainpool curves default: off
- * HAVE_ECC_KOBLITZ Enables Koblitz curves default: off
- */
-
-/*
-ECC Curve Sizes:
- * ECC_USER_CURVES: Allows custom combination of key sizes below
- * HAVE_ALL_CURVES: Enable all key sizes (on unless ECC_USER_CURVES is defined)
- * HAVE_ECC112: 112 bit key
- * HAVE_ECC128: 128 bit key
- * HAVE_ECC160: 160 bit key
- * HAVE_ECC192: 192 bit key
- * HAVE_ECC224: 224 bit key
- * HAVE_ECC239: 239 bit key
- * NO_ECC256: Disables 256 bit key (on by default)
- * HAVE_ECC320: 320 bit key
- * HAVE_ECC384: 384 bit key
- * HAVE_ECC512: 512 bit key
- * HAVE_ECC521: 521 bit key
- */
-
-
-#ifdef HAVE_ECC
-
-/* Make sure custom curves is enabled for Brainpool or Koblitz curve types */
-#if (defined(HAVE_ECC_BRAINPOOL) || defined(HAVE_ECC_KOBLITZ)) &&\
- !defined(WOLFSSL_CUSTOM_CURVES)
- #error Brainpool and Koblitz curves requires WOLFSSL_CUSTOM_CURVES
-#endif
-
-/* Make sure ASN is enabled for ECC sign/verify */
-#if (defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)) && defined(NO_ASN)
- #error ASN must be enabled for ECC sign/verify
-#endif
-
-
-#if defined(HAVE_FIPS_VERSION) && (HAVE_FIPS_VERSION >= 2)
- /* set NO_WRAPPERS before headers, use direct internal f()s not wrappers */
- #define FIPS_NO_WRAPPERS
-
- #ifdef USE_WINDOWS_API
- #pragma code_seg(".fipsA$f")
- #pragma const_seg(".fipsB$f")
- #endif
-#endif
-
-#include <wolfssl/wolfcrypt/ecc.h>
-#include <wolfssl/wolfcrypt/asn.h>
-#include <wolfssl/wolfcrypt/error-crypt.h>
-#include <wolfssl/wolfcrypt/logging.h>
-#include <wolfssl/wolfcrypt/types.h>
-
-#ifdef WOLFSSL_HAVE_SP_ECC
-#include <wolfssl/wolfcrypt/sp.h>
-#endif
-
-#ifdef HAVE_ECC_ENCRYPT
- #include <wolfssl/wolfcrypt/hmac.h>
- #include <wolfssl/wolfcrypt/aes.h>
-#endif
-
-#ifdef HAVE_X963_KDF
- #include <wolfssl/wolfcrypt/hash.h>
-#endif
-
-#ifdef WOLF_CRYPTO_DEV
- #include <wolfssl/wolfcrypt/cryptodev.h>
-#endif
-
-#ifdef NO_INLINE
- #include <wolfssl/wolfcrypt/misc.h>
-#else
- #define WOLFSSL_MISC_INCLUDED
- #include <wolfcrypt/src/misc.c>
-#endif
-
-#if defined(FREESCALE_LTC_ECC)
- #include <wolfssl/wolfcrypt/port/nxp/ksdk_port.h>
-#endif
-
-#ifdef WOLFSSL_SP_MATH
- #define GEN_MEM_ERR MP_MEM
-#elif defined(USE_FAST_MATH)
- #define GEN_MEM_ERR FP_MEM
-#else
- #define GEN_MEM_ERR MP_MEM
-#endif
-
-
-/* internal ECC states */
-enum {
- ECC_STATE_NONE = 0,
-
- ECC_STATE_SHARED_SEC_GEN,
- ECC_STATE_SHARED_SEC_RES,
-
- ECC_STATE_SIGN_DO,
- ECC_STATE_SIGN_ENCODE,
-
- ECC_STATE_VERIFY_DECODE,
- ECC_STATE_VERIFY_DO,
- ECC_STATE_VERIFY_RES,
-};
-
-
-/* map
- ptmul -> mulmod
-*/
-
-/* 256-bit curve on by default whether user curves or not */
-#if defined(HAVE_ECC112) || defined(HAVE_ALL_CURVES)
- #define ECC112
-#endif
-#if defined(HAVE_ECC128) || defined(HAVE_ALL_CURVES)
- #define ECC128
-#endif
-#if defined(HAVE_ECC160) || defined(HAVE_ALL_CURVES)
- #define ECC160
-#endif
-#if defined(HAVE_ECC192) || defined(HAVE_ALL_CURVES)
- #define ECC192
-#endif
-#if defined(HAVE_ECC224) || defined(HAVE_ALL_CURVES)
- #define ECC224
-#endif
-#if defined(HAVE_ECC239) || defined(HAVE_ALL_CURVES)
- #define ECC239
-#endif
-#if !defined(NO_ECC256) || defined(HAVE_ALL_CURVES)
- #define ECC256
-#endif
-#if defined(HAVE_ECC320) || defined(HAVE_ALL_CURVES)
- #define ECC320
-#endif
-#if defined(HAVE_ECC384) || defined(HAVE_ALL_CURVES)
- #define ECC384
-#endif
-#if defined(HAVE_ECC512) || defined(HAVE_ALL_CURVES)
- #define ECC512
-#endif
-#if defined(HAVE_ECC521) || defined(HAVE_ALL_CURVES)
- #define ECC521
-#endif
-
-/* The encoded OID's for ECC curves */
-#ifdef ECC112
- #ifndef NO_ECC_SECP
- #ifdef HAVE_OID_ENCODING
- #define CODED_SECP112R1 {1,3,132,0,6}
- #define CODED_SECP112R1_SZ 5
- #else
- #define CODED_SECP112R1 {0x2B,0x81,0x04,0x00,0x06}
- #define CODED_SECP112R1_SZ 5
- #endif
- #ifndef USE_WINDOWS_API
- static const ecc_oid_t ecc_oid_secp112r1[] = CODED_SECP112R1;
- #else
- #define ecc_oid_secp112r1 CODED_SECP112R1
- #endif
- #define ecc_oid_secp112r1_sz CODED_SECP112R1_SZ
- #endif /* !NO_ECC_SECP */
- #ifdef HAVE_ECC_SECPR2
- #ifdef HAVE_OID_ENCODING
- #define CODED_SECP112R2 {1,3,132,0,7}
- #define CODED_SECP112R2_SZ 5
- #else
- #define CODED_SECP112R2 {0x2B,0x81,0x04,0x00,0x07}
- #define CODED_SECP112R2_SZ 5
- #endif
- #ifndef USE_WINDOWS_API
- 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 */
-#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 USE_WINDOWS_API
- 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 */
- #ifdef HAVE_ECC_SECPR2
- #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 USE_WINDOWS_API
- 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 */
-#endif /* ECC128 */
-#ifdef ECC160
- #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 USE_WINDOWS_API
- 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_SECP160R1_SZ 5
- #else
- #define CODED_SECP160R2 {0x2B,0x81,0x04,0x00,0x1E}
- #define CODED_SECP160R2_SZ 5
- #endif
- #ifndef USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 */
- #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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 */
- #ifdef HAVE_ECC_KOBLITZ
- #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 USE_WINDOWS_API
- 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 */
- #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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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 */
-#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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- static const ecc_oid_t ecc_oid_secp384r1[] = CODED_SECP384R1;
- #define CODED_SECP384R1_OID ecc_oid_secp384r1
- #else
- #define ecc_oid_secp384r1 CODED_SECP384R1
- #endif
- #define ecc_oid_secp384r1_sz CODED_SECP384R1_SZ
- #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}
- #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 USE_WINDOWS_API
- static const ecc_oid_t ecc_oid_brainpoolp384r1[] = CODED_BRAINPOOLP384R1;
- #else
- #define ecc_oid_brainpoolp384r1 CODED_BRAINPOOLP384R1
- #endif
- #define ecc_oid_brainpoolp384r1_sz CODED_BRAINPOOLP384R1_SZ
- #endif /* HAVE_ECC_BRAINPOOL */
-#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 USE_WINDOWS_API
- 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 USE_WINDOWS_API
- 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. */
-
-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 */
- #ifdef HAVE_ECC_SECPR2
- {
- 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 */
-#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 */
- #ifdef HAVE_ECC_SECPR2
- {
- 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 */
-#endif /* ECC128 */
-#ifdef ECC160
- #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 */
- #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 */
- #ifdef HAVE_ECC_KOBLITZ
- {
- 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 */
- #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 */
-#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 */
-#if defined(WOLFSSL_CUSTOM_CURVES) && defined(ECC_CACHE_CURVE)
- /* place holder for custom curve index for cache */
- {
- 1, /* non-zero */
- ECC_CURVE_CUSTOM,
- #ifndef USE_WINDOWS_API
- NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
- #else
- 0, 0, 0, 0, 0, 0, 0, 0,
- #endif
- 0, 0, 0
- },
-#endif
- {
- 0, -1,
- #ifndef USE_WINDOWS_API
- 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))
-
-
-#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];
-#endif
-
-
-#ifdef HAVE_COMP_KEY
-static int wc_ecc_export_x963_compressed(ecc_key*, byte* out, word32* outLen);
-#endif
-
-#ifdef WOLFSSL_ATECC508A
- typedef void* ecc_curve_spec;
-#else
-
-#if defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || !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
-
-int mp_jacobi(mp_int* a, mp_int* n, int* c);
-int mp_sqrtmod_prime(mp_int* n, mp_int* prime, mp_int* ret);
-
-
-/* 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
- mp_int* spec_ints;
- word32 spec_count;
- word32 spec_use;
-#endif
-
- byte load_mask;
-} ecc_curve_spec;
-
-enum ecc_curve_load_mask {
- ECC_CURVE_FIELD_NONE = 0x00,
- ECC_CURVE_FIELD_PRIME = 0x01,
- ECC_CURVE_FIELD_AF = 0x02,
-#ifdef USE_ECC_B_PARAM
- ECC_CURVE_FIELD_BF = 0x04,
-#endif
- ECC_CURVE_FIELD_ORDER = 0x08,
- ECC_CURVE_FIELD_GX = 0x10,
- ECC_CURVE_FIELD_GY = 0x20,
-#ifdef USE_ECC_B_PARAM
- ECC_CURVE_FIELD_ALL = 0x3F,
- ECC_CURVE_FIELD_COUNT = 6,
-#else
- ECC_CURVE_FIELD_ALL = 0x3B,
- ECC_CURVE_FIELD_COUNT = 5,
-#endif
-};
-
-#ifdef ECC_CACHE_CURVE
- /* cache (mp_int) of the curve parameters */
- static ecc_curve_spec* ecc_curve_spec_cache[ECC_SET_COUNT];
- #ifndef SINGLE_THREADED
- static wolfSSL_Mutex ecc_curve_cache_mutex;
- #endif
-
- #define DECLARE_CURVE_SPECS(curve, intcount) ecc_curve_spec* curve = NULL
- #define ALLOC_CURVE_SPECS(intcount)
- #define FREE_CURVE_SPECS()
-#elif defined(WOLFSSL_SMALL_STACK)
- #define DECLARE_CURVE_SPECS(curve, 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) \
- spec_ints = (mp_int*)XMALLOC(sizeof(mp_int) * (intcount), NULL, \
- DYNAMIC_TYPE_ECC); \
- if (spec_ints == NULL) \
- return MEMORY_E; \
- curve->spec_ints = spec_ints
- #define FREE_CURVE_SPECS() \
- XFREE(spec_ints, NULL, DYNAMIC_TYPE_ECC)
-#else
- #define DECLARE_CURVE_SPECS(curve, 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
- #define ALLOC_CURVE_SPECS(intcount)
- #define FREE_CURVE_SPECS()
-#endif /* ECC_CACHE_CURVE */
-
-static void _wc_ecc_curve_free(ecc_curve_spec* curve)
-{
- if (curve == NULL) {
- return;
- }
-
- if (curve->load_mask & ECC_CURVE_FIELD_PRIME)
- mp_clear(curve->prime);
- if (curve->load_mask & ECC_CURVE_FIELD_AF)
- mp_clear(curve->Af);
-#ifdef USE_ECC_B_PARAM
- if (curve->load_mask & ECC_CURVE_FIELD_BF)
- mp_clear(curve->Bf);
-#endif
- if (curve->load_mask & ECC_CURVE_FIELD_ORDER)
- mp_clear(curve->order);
- if (curve->load_mask & ECC_CURVE_FIELD_GX)
- mp_clear(curve->Gx);
- if (curve->load_mask & ECC_CURVE_FIELD_GY)
- mp_clear(curve->Gy);
-
- curve->load_mask = 0;
-}
-
-static void wc_ecc_curve_free(ecc_curve_spec* curve)
-{
- /* don't free cached curves */
-#ifndef ECC_CACHE_CURVE
- _wc_ecc_curve_free(curve);
-#endif
- (void)curve;
-}
-
-static int wc_ecc_curve_load_item(const char* src, mp_int** dst,
- ecc_curve_spec* curve, 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;
- }
- *dst = &curve->spec_ints[curve->spec_use++];
-#endif
-
- err = mp_init(*dst);
- 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, x;
- ecc_curve_spec* curve;
- byte load_items = 0; /* mask of items to load */
-
- 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
-
- /* make sure cache has been allocated */
- if (ecc_curve_spec_cache[x] == NULL) {
- ecc_curve_spec_cache[x] = (ecc_curve_spec*)XMALLOC(
- sizeof(ecc_curve_spec), NULL, DYNAMIC_TYPE_ECC);
- if (ecc_curve_spec_cache[x] == NULL) {
- #if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED)
- wc_UnLockMutex(&ecc_curve_cache_mutex);
- #endif
- return MEMORY_E;
- }
- XMEMSET(ecc_curve_spec_cache[x], 0, sizeof(ecc_curve_spec));
- }
-
- /* set curve pointer to cache */
- *pCurve = ecc_curve_spec_cache[x];
-
-#endif /* ECC_CACHE_CURVE */
- curve = *pCurve;
-
- /* 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)~(word32)curve->load_mask) & load_mask);
- curve->load_mask |= load_items;
-
- /* load items */
- x = 0;
- if (load_items & ECC_CURVE_FIELD_PRIME)
- x += wc_ecc_curve_load_item(dp->prime, &curve->prime, curve,
- ECC_CURVE_FIELD_PRIME);
- if (load_items & ECC_CURVE_FIELD_AF)
- x += wc_ecc_curve_load_item(dp->Af, &curve->Af, curve,
- ECC_CURVE_FIELD_AF);
-#ifdef USE_ECC_B_PARAM
- if (load_items & ECC_CURVE_FIELD_BF)
- x += wc_ecc_curve_load_item(dp->Bf, &curve->Bf, curve,
- ECC_CURVE_FIELD_BF);
-#endif
- if (load_items & ECC_CURVE_FIELD_ORDER)
- x += wc_ecc_curve_load_item(dp->order, &curve->order, curve,
- ECC_CURVE_FIELD_ORDER);
- if (load_items & ECC_CURVE_FIELD_GX)
- x += wc_ecc_curve_load_item(dp->Gx, &curve->Gx, curve,
- ECC_CURVE_FIELD_GX);
- if (load_items & ECC_CURVE_FIELD_GY)
- x += wc_ecc_curve_load_item(dp->Gy, &curve->Gy, curve,
- ECC_CURVE_FIELD_GY);
-
- /* check for error */
- if (x != 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)
- 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++) {
- if (ecc_curve_spec_cache[x]) {
- _wc_ecc_curve_free(ecc_curve_spec_cache[x]);
- XFREE(ecc_curve_spec_cache[x], NULL, DYNAMIC_TYPE_ECC);
- ecc_curve_spec_cache[x] = NULL;
- }
- }
-
-#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED)
- wc_FreeMutex(&ecc_curve_cache_mutex);
-#endif
-}
-#endif /* ECC_CACHE_CURVE */
-
-#endif /* WOLFSSL_ATECC508A */
-
-
-/* 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 (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(fp_int* a)
-{
- a->size = FP_SIZE_ECC;
- fp_zero(a);
-}
-#endif /* ALT_ECC_SIZE */
-
-
-#ifndef WOLFSSL_ATECC508A
-
-#if !defined(WOLFSSL_SP_MATH) || defined(WOLFSSL_PUBLIC_ECC_ADD_DBL)
-
-/**
- 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
-*/
-int ecc_projective_add_point(ecc_point* P, ecc_point* Q, ecc_point* R,
- mp_int* a, mp_int* modulus, mp_digit mp)
-{
-#ifndef WOLFSSL_SP_MATH
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* t1 = NULL;
- mp_int* t2 = NULL;
-#ifdef ALT_ECC_SIZE
- mp_int* rx = NULL;
- mp_int* ry = NULL;
- mp_int* rz = NULL;
-#endif
-#else
- mp_int t1[1], t2[1];
-#ifdef ALT_ECC_SIZE
- mp_int rx[1], ry[1], rz[1];
-#endif
-#endif
- mp_int *x, *y, *z;
- int err;
-
- if (P == NULL || Q == NULL || R == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- /* 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 */
- {
- t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (t1 == NULL || t2 == NULL) {
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#ifdef ALT_ECC_SIZE
- rx = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- ry = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- rz = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (rx == NULL || ry == NULL || rz == NULL) {
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#endif
- }
-#endif /* WOLFSSL_SMALL_STACK */
-
- if ((err = mp_init_multi(t1, t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
-#ifdef WOLFSSL_SMALL_STACK
- #ifdef WOLFSSL_SMALL_STACK_CACHE
- if (R->key == NULL)
- #endif
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
- return err;
- }
-
- /* should we dbl instead? */
- if (err == MP_OKAY)
- err = mp_sub(modulus, Q->y, t1);
- if (err == MP_OKAY) {
- if ( (mp_cmp(P->x, Q->x) == MP_EQ) &&
- (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
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
- #endif
- 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;
-
- if ((err = mp_init_multi(x, y, z, NULL, NULL, NULL)) != 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_sub(y, t1, y);
- if (err == MP_OKAY) {
- if (mp_isneg(y))
- err = mp_add(y, modulus, y);
- }
- /* T1 = 2T1 */
- if (err == MP_OKAY)
- err = mp_add(t1, t1, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- /* T1 = Y + T1 */
- if (err == MP_OKAY)
- err = mp_add(t1, y, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- /* X = X - T2 */
- if (err == MP_OKAY)
- err = mp_sub(x, t2, x);
- if (err == MP_OKAY) {
- if (mp_isneg(x))
- err = mp_add(x, modulus, x);
- }
- /* T2 = 2T2 */
- if (err == MP_OKAY)
- err = mp_add(t2, t2, t2);
- if (err == MP_OKAY) {
- if (mp_cmp(t2, modulus) != MP_LT)
- err = mp_sub(t2, modulus, t2);
- }
- /* T2 = X + T2 */
- if (err == MP_OKAY)
- err = mp_add(t2, x, t2);
- if (err == MP_OKAY) {
- if (mp_cmp(t2, modulus) != MP_LT)
- err = mp_sub(t2, 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_sub(x, t2, x);
- if (err == MP_OKAY) {
- if (mp_isneg(x))
- err = mp_add(x, modulus, x);
- }
- /* T2 = T2 - X */
- if (err == MP_OKAY)
- err = mp_sub(t2, x, t2);
- if (err == MP_OKAY) {
- if (mp_isneg(t2))
- err = mp_add(t2, modulus, t2);
- }
- /* T2 = T2 - X */
- if (err == MP_OKAY)
- err = mp_sub(t2, x, t2);
- if (err == MP_OKAY) {
- if (mp_isneg(t2))
- err = mp_add(t2, 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_sub(t2, t1, y);
- if (err == MP_OKAY) {
- if (mp_isneg(y))
- err = mp_add(y, modulus, y);
- }
- /* Y = Y/2 */
- if (err == MP_OKAY) {
- if (mp_isodd(y) == MP_YES)
- err = mp_add(y, modulus, y);
- }
- if (err == MP_OKAY)
- err = mp_div_2(y, 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
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
-
- return err;
-#else
- if (P == NULL || Q == NULL || R == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- (void)a;
- (void)mp;
-
- 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
-}
-
-/* ### 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
-*/
-int ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* a,
- mp_int* modulus, mp_digit mp)
-{
-#ifndef WOLFSSL_SP_MATH
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* t1 = NULL;
- mp_int* t2 = NULL;
-#ifdef ALT_ECC_SIZE
- mp_int* rx = NULL;
- mp_int* ry = NULL;
- mp_int* rz = NULL;
-#endif
-#else
- mp_int t1[1], t2[1];
-#ifdef ALT_ECC_SIZE
- mp_int rx[1], ry[1], rz[1];
-#endif
-#endif
- mp_int *x, *y, *z;
- int err;
-
- if (P == NULL || R == NULL || modulus == NULL)
- return ECC_BAD_ARG_E;
-
-#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 */
- {
- t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (t1 == NULL || t2 == NULL) {
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
- #ifdef ALT_ECC_SIZE
- rx = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- ry = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- rz = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (rx == NULL || ry == NULL || rz == NULL) {
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
- #endif
- }
-#endif
-
- if ((err = mp_init_multi(t1, t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
-#ifdef WOLFSSL_SMALL_STACK
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- if (R->key == NULL)
-#endif
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
- 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;
-
- if ((err = mp_init_multi(x, y, z, NULL, NULL, NULL)) != MP_OKAY) {
- mp_clear(t1);
- mp_clear(t2);
- #ifdef WOLFSSL_SMALL_STACK
- #ifdef WOLFSSL_SMALL_STACK_CACHE
- if (R->key == NULL)
- #endif
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
- #endif
- 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_add(z, z, z);
- if (err == MP_OKAY) {
- if (mp_cmp(z, modulus) != MP_LT)
- err = mp_sub(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_cmp_d(t2, 3) != MP_EQ) {
- /* use "a" in calc */
-
- /* T2 = T1 * T1 */
- if (err == MP_OKAY)
- 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_add(t1, t2, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- /* T1 = T2 + T1 */
- if (err == MP_OKAY)
- err = mp_add(t1, t2, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- /* T1 = T2 + T1 */
- if (err == MP_OKAY)
- err = mp_add(t1, t2, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- }
- else
-#endif /* WOLFSSL_CUSTOM_CURVES */
- {
- /* assumes "a" == 3 */
- (void)a;
-
- /* T2 = X - T1 */
- if (err == MP_OKAY)
- err = mp_sub(x, t1, t2);
- if (err == MP_OKAY) {
- if (mp_isneg(t2))
- err = mp_add(t2, modulus, t2);
- }
- /* T1 = X + T1 */
- if (err == MP_OKAY)
- err = mp_add(t1, x, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, 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_add(t2, t2, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- /* T1 = T1 + T2 */
- if (err == MP_OKAY)
- err = mp_add(t1, t2, t1);
- if (err == MP_OKAY) {
- if (mp_cmp(t1, modulus) != MP_LT)
- err = mp_sub(t1, modulus, t1);
- }
- }
-
- /* Y = 2Y */
- if (err == MP_OKAY)
- err = mp_add(y, y, y);
- if (err == MP_OKAY) {
- if (mp_cmp(y, modulus) != MP_LT)
- err = mp_sub(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) {
- if (mp_isodd(t2) == MP_YES)
- err = mp_add(t2, modulus, t2);
- }
- if (err == MP_OKAY)
- err = mp_div_2(t2, 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_sub(x, y, x);
- if (err == MP_OKAY) {
- if (mp_isneg(x))
- err = mp_add(x, modulus, x);
- }
- /* X = X - Y */
- if (err == MP_OKAY)
- err = mp_sub(x, y, x);
- if (err == MP_OKAY) {
- if (mp_isneg(x))
- err = mp_add(x, modulus, x);
- }
-
- /* Y = Y - X */
- if (err == MP_OKAY)
- err = mp_sub(y, x, y);
- if (err == MP_OKAY) {
- if (mp_isneg(y))
- err = mp_add(y, 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_sub(y, t2, y);
- if (err == MP_OKAY) {
- if (mp_isneg(y))
- err = mp_add(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
-
- /* clean up */
- mp_clear(t1);
- mp_clear(t2);
-
-#ifdef WOLFSSL_SMALL_STACK
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- if (R->key == NULL)
-#endif
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
-
- return err;
-#else
- if (P == NULL || R == NULL || modulus == NULL)
- return ECC_BAD_ARG_E;
-
- (void)a;
- (void)mp;
-
- return sp_ecc_proj_dbl_point_256(P->x, P->y, P->z, R->x, R->y, R->z);
-#endif
-}
-
-
-/**
- Map a projective jacbobian 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()
- return MP_OKAY on success
-*/
-int ecc_map(ecc_point* P, mp_int* modulus, mp_digit mp)
-{
-#ifndef WOLFSSL_SP_MATH
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* t1 = NULL;
- mp_int* t2 = NULL;
-#ifdef ALT_ECC_SIZE
- mp_int* rx = NULL;
- mp_int* ry = NULL;
- mp_int* rz = NULL;
-#endif
-#else
- mp_int t1[1], t2[1];
-#ifdef ALT_ECC_SIZE
- mp_int rx[1], ry[1], rz[1];
-#endif
-#endif /* WOLFSSL_SMALL_STACK */
- mp_int *x, *y, *z;
- int err;
-
- 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 */
- {
- t1 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- t2 = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (t1 == NULL || t2 == NULL) {
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#ifdef ALT_ECC_SIZE
- rx = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- ry = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- rz = (mp_int*)XMALLOC(sizeof(mp_int), NULL, DYNAMIC_TYPE_ECC);
- if (rx == NULL || ry == NULL || rz == NULL) {
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#endif
- }
-#endif /* WOLFSSL_SMALL_STACK */
-
- if ((err = mp_init_multi(t1, t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
-#ifdef WOLFSSL_SMALL_STACK
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- if (P->key == NULL)
-#endif
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
- return MEMORY_E;
- }
-
-#ifdef ALT_ECC_SIZE
- /* Use local stack variable */
- x = rx;
- y = ry;
- z = rz;
-
- if ((err = mp_init_multi(x, y, z, NULL, NULL, NULL)) != 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
-
- /* first map z back to normal */
- err = mp_montgomery_reduce(z, modulus, mp);
-
- /* get 1/z */
- 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
- {
- #ifdef ALT_ECC_SIZE
- XFREE(rz, NULL, DYNAMIC_TYPE_ECC);
- XFREE(ry, NULL, DYNAMIC_TYPE_ECC);
- XFREE(rx, NULL, DYNAMIC_TYPE_ECC);
- #endif
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
- }
-#endif
-
- return err;
-#else
- if (P == NULL || modulus == NULL)
- return ECC_BAD_ARG_E;
-
- (void)mp;
-
- return sp_ecc_map_256(P->x, P->y, P->z);
-#endif
-}
-
-#endif /* !WOLFSSL_SP_MATH || WOLFSSL_PUBLIC_ECC_ADD_DBL */
-
-#if !defined(FREESCALE_LTC_ECC)
-
-#if !defined(FP_ECC) || !defined(WOLFSSL_SP_MATH)
-/**
- 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(mp_int* k, ecc_point *G, ecc_point *R,
- mp_int* a, mp_int* modulus, int map,
- void* heap)
-#else
-int wc_ecc_mulmod_ex(mp_int* k, ecc_point *G, ecc_point *R,
- mp_int* a, mp_int* modulus, int map,
- void* heap)
-#endif
-{
-#ifndef WOLFSSL_SP_MATH
-#ifndef ECC_TIMING_RESISTANT
- /* size of sliding window, don't change this! */
- #define WINSIZE 4
- #define M_POINTS 8
- int first = 1, bitbuf = 0, bitcpy = 0, j;
-#else
- #define M_POINTS 3
-#endif
-
- ecc_point *tG, *M[M_POINTS];
- int i, err;
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* mu = NULL;
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- ecc_key key;
-#endif
-#else
- mp_int mu[1];
-#endif
- mp_digit mp;
- mp_digit buf;
- int bitcnt = 0, mode = 0, digidx = 0;
-
- if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- /* init variables */
- tG = NULL;
- XMEMSET(M, 0, sizeof(M));
-#ifdef WOLFSSL_SMALL_STACK
- mu = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
- if (mu == NULL)
- return MEMORY_E;
-#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(mu, heap, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#endif /* WOLFSSL_SMALL_STACK_CACHE */
-
- /* init montgomery reduction */
- if ((err = mp_montgomery_setup(modulus, &mp)) != MP_OKAY) {
-#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);
-#endif /* WOLFSSL_SMALL_STACK_CACHE */
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(mu, heap, DYNAMIC_TYPE_ECC);
-#endif
- return err;
- }
-
- if ((err = mp_init(mu)) != MP_OKAY) {
-#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);
-#endif /* WOLFSSL_SMALL_STACK_CACHE */
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(mu, heap, DYNAMIC_TYPE_ECC);
-#endif
- return err;
- }
- if ((err = mp_montgomery_calc_normalization(mu, modulus)) != MP_OKAY) {
- mp_clear(mu);
-#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);
-#endif /* WOLFSSL_SMALL_STACK_CACHE */
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(mu, heap, DYNAMIC_TYPE_ECC);
-#endif
- return err;
- }
-
- /* alloc ram for window temps */
- for (i = 0; i < M_POINTS; i++) {
- M[i] = wc_ecc_new_point_h(heap);
- if (M[i] == NULL) {
- mp_clear(mu);
- err = MEMORY_E; goto exit;
- }
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- M[i]->key = &key;
-#endif
- }
-
- /* make a copy of G in case R==G */
- tG = wc_ecc_new_point_h(heap);
- if (tG == NULL)
- err = MEMORY_E;
-
- /* tG = G and convert to montgomery */
- if (err == MP_OKAY) {
- if (mp_cmp_d(mu, 1) == MP_EQ) {
- err = mp_copy(G->x, tG->x);
- if (err == MP_OKAY)
- err = mp_copy(G->y, tG->y);
- if (err == MP_OKAY)
- err = mp_copy(G->z, tG->z);
- } else {
- err = mp_mulmod(G->x, mu, modulus, tG->x);
- if (err == MP_OKAY)
- err = mp_mulmod(G->y, mu, modulus, tG->y);
- if (err == MP_OKAY)
- err = mp_mulmod(G->z, mu, modulus, tG->z);
- }
- }
-
- /* done with mu */
- mp_clear(mu);
-
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- R->key = &key;
-#endif
-#ifndef ECC_TIMING_RESISTANT
-
- /* calc the M tab, which holds kG for k==8..15 */
- /* M[0] == 8G */
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(tG, M[0], a, modulus, mp);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(M[0], M[0], a, modulus, mp);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(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(M[j-9], tG, M[j-M_POINTS], a,
- modulus, mp);
- if (err != MP_OKAY) break;
- }
-
- /* setup sliding window */
- if (err == MP_OKAY) {
- mode = 0;
- bitcnt = 1;
- buf = 0;
- digidx = 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 = 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(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(R, R, a, modulus, mp);
- if (err != MP_OKAY) break;
- }
- if (err != MP_OKAY) break; /* out of first for(;;) */
-
- /* then add, bitbuf will be 8..15 [8..2^WINSIZE] guaranteed */
- err = ecc_projective_add_point(R, M[bitbuf-M_POINTS], R, a,
- modulus, mp);
- }
- 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(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(R, tG, R, a, modulus,
- mp);
- if (err != MP_OKAY) break;
- }
- }
- }
- }
- }
-
- #undef WINSIZE
-
-#else /* ECC_TIMING_RESISTANT */
-
- /* calc the M tab */
- /* M[0] == G */
- if (err == MP_OKAY)
- err = mp_copy(tG->x, M[0]->x);
- if (err == MP_OKAY)
- err = mp_copy(tG->y, M[0]->y);
- if (err == MP_OKAY)
- err = mp_copy(tG->z, M[0]->z);
-
- /* M[1] == 2G */
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(tG, M[1], a, modulus, mp);
-
- /* setup sliding window */
- mode = 0;
- bitcnt = 1;
- buf = 0;
- digidx = get_digit_count(k) - 1;
-
- /* perform ops */
- if (err == MP_OKAY) {
- for (;;) {
- /* grab next digit as required */
- if (--bitcnt == 0) {
- if (digidx == -1) {
- break;
- }
- buf = get_digit(k, digidx);
- bitcnt = (int)DIGIT_BIT;
- --digidx;
- }
-
- /* grab the next msb from the multiplicand */
- i = (buf >> (DIGIT_BIT - 1)) & 1;
- buf <<= 1;
-
- if (mode == 0 && i == 0) {
- /* timing resistant - dummy operations */
- if (err == MP_OKAY)
- err = ecc_projective_add_point(M[0], M[1], M[2], a, modulus,
- mp);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(M[1], M[2], a, modulus, mp);
- if (err == MP_OKAY)
- continue;
- }
-
- if (mode == 0 && i == 1) {
- mode = 1;
- /* timing resistant - dummy operations */
- if (err == MP_OKAY)
- err = ecc_projective_add_point(M[0], M[1], M[2], a, modulus,
- mp);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(M[1], M[2], a, modulus, mp);
- if (err == MP_OKAY)
- continue;
- }
-
- if (err == MP_OKAY)
- err = ecc_projective_add_point(M[0], M[1], M[i^1], a, modulus,
- mp);
-#ifdef WC_NO_CACHE_RESISTANT
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(M[i], M[i], a, modulus, mp);
-#else
- /* instead of using M[i] for double, which leaks key bit to cache
- * monitor, use M[2] as temp, make sure address calc is constant,
- * keep M[0] and M[1] in cache */
- if (err == MP_OKAY)
- err = mp_copy((mp_int*)
- ( ((wolfssl_word)M[0]->x & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->x & wc_off_on_addr[i])),
- M[2]->x);
- if (err == MP_OKAY)
- err = mp_copy((mp_int*)
- ( ((wolfssl_word)M[0]->y & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->y & wc_off_on_addr[i])),
- M[2]->y);
- if (err == MP_OKAY)
- err = mp_copy((mp_int*)
- ( ((wolfssl_word)M[0]->z & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->z & wc_off_on_addr[i])),
- M[2]->z);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(M[2], M[2], a, modulus, mp);
- /* copy M[2] back to M[i] */
- if (err == MP_OKAY)
- err = mp_copy(M[2]->x,
- (mp_int*)
- ( ((wolfssl_word)M[0]->x & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->x & wc_off_on_addr[i])) );
- if (err == MP_OKAY)
- err = mp_copy(M[2]->y,
- (mp_int*)
- ( ((wolfssl_word)M[0]->y & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->y & wc_off_on_addr[i])) );
- if (err == MP_OKAY)
- err = mp_copy(M[2]->z,
- (mp_int*)
- ( ((wolfssl_word)M[0]->z & wc_off_on_addr[i^1]) +
- ((wolfssl_word)M[1]->z & wc_off_on_addr[i])) );
- if (err != MP_OKAY)
- break;
-#endif /* WC_NO_CACHE_RESISTANT */
- } /* end for */
- }
-
- /* copy result out */
- if (err == MP_OKAY)
- err = mp_copy(M[0]->x, R->x);
- if (err == MP_OKAY)
- err = mp_copy(M[0]->y, R->y);
- if (err == MP_OKAY)
- err = mp_copy(M[0]->z, R->z);
-
-#endif /* ECC_TIMING_RESISTANT */
-
- /* map R back from projective space */
- if (err == MP_OKAY && map)
- err = ecc_map(R, modulus, mp);
-
-exit:
-
- /* done */
- wc_ecc_del_point_h(tG, heap);
- for (i = 0; i < M_POINTS; i++) {
- wc_ecc_del_point_h(M[i], heap);
- }
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- R->key = NULL;
-#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 /* WOLFSSL_SMALL_STACK_CACHE */
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(mu, heap, DYNAMIC_TYPE_ECC);
-#endif
-
- return err;
-#else
- if (k == NULL || G == NULL || R == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- (void)a;
-
- return sp_ecc_mulmod_256(k, G, R, map, heap);
-#endif
-}
-
-#endif /* !FP_ECC || !WOLFSSL_SP_MATH */
-
-#endif /* !FREESCALE_LTC_ECC */
-
-/** 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 co-ordinates,
- otherwise it's left in jacobian-montgomery form
- return MP_OKAY if successful
-*/
-int wc_ecc_mulmod(mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
- mp_int* modulus, int map)
-{
- return wc_ecc_mulmod_ex(k, G, R, a, modulus, map, NULL);
-}
-
-#endif /* !WOLFSSL_ATECC508A */
-
-/**
- * use a heap hint when creating new ecc_point
- * return an allocated point on success or NULL on failure
- */
-ecc_point* wc_ecc_new_point_h(void* heap)
-{
- ecc_point* p;
-
- (void)heap;
-
- p = (ecc_point*)XMALLOC(sizeof(ecc_point), heap, DYNAMIC_TYPE_ECC);
- if (p == NULL) {
- return NULL;
- }
- XMEMSET(p, 0, sizeof(ecc_point));
-
-#ifndef ALT_ECC_SIZE
- if (mp_init_multi(p->x, p->y, p->z, NULL, NULL, NULL) != MP_OKAY) {
- XFREE(p, heap, DYNAMIC_TYPE_ECC);
- return 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
-
- return p;
-}
-
-
-/**
- Allocate a new ECC point
- return A newly allocated point or NULL on error
-*/
-ecc_point* wc_ecc_new_point(void)
-{
- return wc_ecc_new_point_h(NULL);
-}
-
-
-void wc_ecc_del_point_h(ecc_point* p, void* heap)
-{
- /* prevents free'ing null arguments */
- if (p != NULL) {
- mp_clear(p->x);
- mp_clear(p->y);
- mp_clear(p->z);
- XFREE(p, heap, DYNAMIC_TYPE_ECC);
- }
- (void)heap;
-}
-
-
-/** Free an ECC point from memory
- p The point to free
-*/
-void wc_ecc_del_point(ecc_point* p)
-{
- wc_ecc_del_point_h(p, NULL);
-}
-
-
-/** Copy the value of a point to an other one
- p The point to copy
- r The created point
-*/
-int wc_ecc_copy_point(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;
-
- 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)) {
- 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;
- word32 len;
-
- if (curveName == NULL)
- return BAD_FUNC_ARG;
-
- len = (word32)XSTRLEN(curveName);
-
- for (curve_idx = 0; ecc_sets[curve_idx].size != 0; curve_idx++) {
- if (ecc_sets[curve_idx].name &&
- XSTRNCASECMP(ecc_sets[curve_idx].name, curveName, len) == 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 (byte array) for equality.
- *
- * Returns MP_EQ on success, negative on error */
-static int wc_ecc_cmp_param(const char* curveParam,
- const byte* param, word32 paramSz)
-{
- 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;
-
-#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)
- 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) == MP_EQ) &&
- (wc_ecc_cmp_param(ecc_sets[idx].Af, Af, AfSz) == MP_EQ) &&
- (wc_ecc_cmp_param(ecc_sets[idx].Bf, Bf, BfSz) == MP_EQ) &&
- (wc_ecc_cmp_param(ecc_sets[idx].order, order,
- orderSz) == MP_EQ) &&
- (wc_ecc_cmp_param(ecc_sets[idx].Gx, Gx, GxSz) == MP_EQ) &&
- (wc_ecc_cmp_param(ecc_sets[idx].Gy, Gy, GySz) == MP_EQ) &&
- (cofactor == ecc_sets[idx].cofactor)) {
- break;
- }
- }
- }
-
- if (ecc_sets[idx].size == 0)
- return ECC_CURVE_INVALID;
-
- return ecc_sets[idx].id;
-}
-
-
-#ifdef WOLFSSL_ASYNC_CRYPT
-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 */
-
-
-#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
-*/
-int wc_ecc_shared_secret(ecc_key* private_key, ecc_key* public_key, byte* out,
- word32* outlen)
-{
- int err;
-
- if (private_key == NULL || public_key == NULL || out == NULL ||
- outlen == NULL) {
- return BAD_FUNC_ARG;
- }
-
-#ifdef WOLF_CRYPTO_DEV
- if (private_key->devId != INVALID_DEVID) {
- err = wc_CryptoDev_Ecdh(private_key, public_key, out, outlen);
- if (err != NOT_COMPILED_IN)
- return err;
- }
-#endif
-
- /* 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 ||
- wc_ecc_is_valid_idx(public_key->idx) == 0) {
- return ECC_BAD_ARG_E;
- }
-
- /* Verify curve id matches */
- if (private_key->dp->id != public_key->dp->id) {
- return ECC_BAD_ARG_E;
- }
-
-#ifdef WOLFSSL_ATECC508A
- err = atcatls_ecdh(private_key->slot, public_key->pubkey_raw, out);
- if (err != ATCA_SUCCESS) {
- err = BAD_COND_E;
- }
- *outlen = private_key->dp->size;
-#else
- err = wc_ecc_shared_secret_ex(private_key, &public_key->pubkey, out, outlen);
-#endif /* WOLFSSL_ATECC508A */
-
- return err;
-}
-
-
-#ifndef WOLFSSL_ATECC508A
-
-static int wc_ecc_shared_secret_gen_sync(ecc_key* private_key, ecc_point* point,
- byte* out, word32* outlen, ecc_curve_spec* curve)
-{
- int err;
-#ifndef WOLFSSL_SP_MATH
- ecc_point* result = NULL;
- word32 x = 0;
-#endif
- mp_int* k = &private_key->k;
-#ifdef HAVE_ECC_CDH
- mp_int k_lcl;
-
- /* 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) {
- k = &k_lcl;
- if (mp_init(k) != MP_OKAY)
- return MEMORY_E;
- /* multiply cofactor times private key "k" */
- err = mp_mul_d(&private_key->k, cofactor, k);
- if (err != MP_OKAY) {
- mp_clear(k);
- return err;
- }
- }
- }
-#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) {
- err = sp_ecc_secret_gen_256(k, point, out, outlen, private_key->heap);
- }
- else
-#endif
-#endif
-#ifdef WOLFSSL_SP_MATH
- {
- err = WC_KEY_SIZE_E;
-
- (void)curve;
- }
-#else
- {
- /* make new point */
- result = wc_ecc_new_point_h(private_key->heap);
- if (result == NULL) {
-#ifdef HAVE_ECC_CDH
- if (k == &k_lcl)
- mp_clear(k);
-#endif
- return MEMORY_E;
- }
-
- err = wc_ecc_mulmod_ex(k, point, result, curve->Af, curve->prime, 1,
- private_key->heap);
- if (err == MP_OKAY) {
- x = mp_unsigned_bin_size(curve->prime);
- if (*outlen < x) {
- err = BUFFER_E;
- }
- }
-
- if (err == MP_OKAY) {
- XMEMSET(out, 0, x);
- err = mp_to_unsigned_bin(result->x,out +
- (x - mp_unsigned_bin_size(result->x)));
- }
- *outlen = x;
-
- wc_ecc_del_point_h(result, private_key->heap);
- }
-#endif
-#ifdef HAVE_ECC_CDH
- if (k == &k_lcl)
- mp_clear(k);
-#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,
- ecc_curve_spec* curve)
-{
- int err;
-
-#if defined(HAVE_CAVIUM_V) || defined(HAVE_INTEL_QA)
-#ifdef HAVE_CAVIUM_V
- /* verify the curve is supported by hardware */
- if (NitroxEccIsCurveSupported(private_key))
-#endif
- {
- word32 keySz = private_key->dp->size;
-
- /* sync public key x/y */
- err = wc_mp_to_bigint_sz(&private_key->k, &private_key->k.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,
- &private_key->k.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,
- &private_key->k.raw, &point->x->raw, &point->y->raw,
- out, outlen,
- &curve->Af->raw, &curve->Bf->raw, &curve->prime->raw,
- private_key->dp->cofactor);
- #endif
- return err;
- }
-#elif defined(WOLFSSL_ASYNC_CRYPT_TEST)
- if (wc_AsyncTestInit(&private_key->asyncDev, ASYNC_TEST_ECC_SHARED_SEC)) {
- WC_ASYNC_TEST* testDev = &private_key->asyncDev.test;
- testDev->eccSharedSec.private_key = private_key;
- testDev->eccSharedSec.public_point = point;
- testDev->eccSharedSec.out = out;
- testDev->eccSharedSec.outLen = outlen;
- return WC_PENDING_E;
- }
-#endif
-
- /* use sync in other cases */
- err = wc_ecc_shared_secret_gen_sync(private_key, point, out, outlen, curve);
-
- return err;
-}
-#endif /* WOLFSSL_ASYNC_CRYPT */
-
-int wc_ecc_shared_secret_gen(ecc_key* private_key, ecc_point* point,
- byte* out, word32 *outlen)
-{
- int err;
- DECLARE_CURVE_SPECS(curve, 2);
-
- if (private_key == NULL || point == NULL || out == NULL ||
- outlen == NULL) {
- return BAD_FUNC_ARG;
- }
-
- ALLOC_CURVE_SPECS(2);
-
- /* load curve info */
- err = wc_ecc_curve_load(private_key->dp, &curve,
- (ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF));
- if (err != MP_OKAY) {
- FREE_CURVE_SPECS();
- return err;
- }
-
-#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, curve);
- }
- else
-#endif
- {
- err = wc_ecc_shared_secret_gen_sync(private_key, point,
- out, outlen, curve);
- }
-
- wc_ecc_curve_free(curve);
- FREE_CURVE_SPECS();
-
- return err;
-}
-
-/**
- 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) {
- return ECC_BAD_ARG_E;
- }
-
- /* Verify domain params supplied */
- if (wc_ecc_is_valid_idx(private_key->idx) == 0)
- return ECC_BAD_ARG_E;
-
- switch(private_key->state) {
- case ECC_STATE_NONE:
- case ECC_STATE_SHARED_SEC_GEN:
- private_key->state = ECC_STATE_SHARED_SEC_GEN;
-
- err = wc_ecc_shared_secret_gen(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 */
-
- /* if async pending then return and skip done cleanup below */
- if (err == WC_PENDING_E) {
- private_key->state++;
- return err;
- }
-
- /* cleanup */
-#ifdef WOLFSSL_ASYNC_CRYPT
- wc_ecc_free_async(private_key);
-#endif
- private_key->state = ECC_STATE_NONE;
-
- return err;
-}
-#endif /* !WOLFSSL_ATECC508A */
-#endif /* HAVE_ECC_DHE */
-
-
-#ifndef WOLFSSL_ATECC508A
-/* 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 (get_digit_count(p->x) == 0 && get_digit_count(p->y) == 0)
- return 1;
-
- return 0;
-}
-
-#ifndef WOLFSSL_SP_MATH
-/* generate random and ensure its greater than 0 and less than order */
-static int wc_ecc_gen_k(WC_RNG* rng, int size, mp_int* k, mp_int* order)
-{
- int err;
- DECLARE_VAR(buf, byte, ECC_MAXSIZE_GEN, rng->heap);
-
- /*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, size);
-
- /* load random buffer data into k */
- if (err == 0)
- err = mp_read_unsigned_bin(k, (byte*)buf, 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);
- FREE_VAR(buf, rng->heap);
-
- return err;
-}
-#endif
-#endif /* !WOLFSSL_ATECC508A */
-
-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
- * curveIn [in]curve for key, can 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().
- *
- * returns MP_OKAY on success
- */
-static int wc_ecc_make_pub_ex(ecc_key* key, ecc_curve_spec* curveIn,
- ecc_point* pubOut)
-{
- int err = MP_OKAY;
-#ifndef WOLFSSL_ATECC508A
-#ifndef WOLFSSL_SP_MATH
- ecc_point* base = NULL;
-#endif
- ecc_point* pub;
- DECLARE_CURVE_SPECS(curve, ECC_CURVE_FIELD_COUNT);
-#endif
-
- if (key == NULL) {
- return BAD_FUNC_ARG;
- }
-
-#ifndef WOLFSSL_ATECC508A
-
- /* 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;
- }
-
- /* avoid loading the curve unless it is not passed in */
- if (curveIn != NULL) {
- curve = curveIn;
- }
- else {
- ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
-
- /* load curve info */
- if (err == MP_OKAY)
- err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
- }
-
- 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
- }
-
-
-#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(&key->k, pub, 1, key->heap);
- }
- else
-#endif
-#endif
-#ifdef WOLFSSL_SP_MATH
- err = WC_KEY_SIZE_E;
-#else
- {
- if (err == MP_OKAY) {
- base = wc_ecc_new_point_h(key->heap);
- if (base == NULL)
- err = MEMORY_E;
- }
- /* 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_set(base->z, 1);
-
- /* make the public key */
- if (err == MP_OKAY) {
- err = wc_ecc_mulmod_ex(&key->k, base, pub, curve->Af, curve->prime,
- 1, key->heap);
- }
-
- wc_ecc_del_point_h(base, key->heap);
- }
-#endif
-
-#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
- /* validate the public key, order * pubkey = point at infinity */
- if (err == MP_OKAY)
- err = ecc_check_pubkey_order(key, pub, curve->Af, curve->prime,
- curve->order);
-#endif /* WOLFSSL_VALIDATE_KEYGEN */
-
- if (err != MP_OKAY) {
- /* clean up if failed */
- #ifndef ALT_ECC_SIZE
- mp_clear(pub->x);
- mp_clear(pub->y);
- mp_clear(pub->z);
- #endif
- }
-
- /* free up local curve */
- if (curveIn == NULL) {
- wc_ecc_curve_free(curve);
- #ifndef WOLFSSL_ATECC508A
- FREE_CURVE_SPECS();
- #endif
- }
-
-#else
- (void)curveIn;
-#endif /* WOLFSSL_ATECC508A */
-
- /* change key state if public part is cached */
- if (key->type == ECC_PRIVATEKEY_ONLY && pubOut == NULL) {
- key->type = ECC_PRIVATEKEY;
- }
-
- 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, NULL, pubOut);
-}
-
-
-int wc_ecc_make_key_ex(WC_RNG* rng, int keysize, ecc_key* key, int curve_id)
-{
- int err;
-#ifndef WOLFSSL_ATECC508A
-#ifndef WOLFSSL_SP_MATH
- DECLARE_CURVE_SPECS(curve, ECC_CURVE_FIELD_COUNT);
-#endif
-#endif
-
- if (key == NULL || rng == NULL) {
- return BAD_FUNC_ARG;
- }
-
- /* make sure required variables are reset */
- wc_ecc_reset(key);
-
- err = wc_ecc_set_curve(key, keysize, curve_id);
- if (err != 0) {
- return err;
- }
-
-#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)
- /* TODO: Not implemented */
- #else
- if (wc_AsyncTestInit(&key->asyncDev, ASYNC_TEST_ECC_MAKE)) {
- WC_ASYNC_TEST* testDev = &key->asyncDev.test;
- testDev->eccMake.rng = rng;
- testDev->eccMake.key = key;
- testDev->eccMake.size = keysize;
- testDev->eccMake.curve_id = curve_id;
- return WC_PENDING_E;
- }
- #endif
- }
-#endif /* WOLFSSL_ASYNC_CRYPT */
-
-#ifdef WOLFSSL_ATECC508A
- key->type = ECC_PRIVATEKEY;
- err = atcatls_create_key(key->slot, key->pubkey_raw);
- if (err != ATCA_SUCCESS) {
- err = BAD_COND_E;
- }
-
- /* populate key->pubkey */
- err = mp_read_unsigned_bin(key->pubkey.x, key->pubkey_raw,
- ECC_MAX_CRYPTO_HW_SIZE);
- if (err == MP_OKAY)
- err = mp_read_unsigned_bin(key->pubkey.y,
- key->pubkey_raw + ECC_MAX_CRYPTO_HW_SIZE,
- ECC_MAX_CRYPTO_HW_SIZE);
-#else
-
-#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_make_key_256(rng, &key->k, &key->pubkey, key->heap);
- if (err == MP_OKAY)
- key->type = ECC_PRIVATEKEY;
- }
- else
-#endif
-#endif
-#ifdef WOLFSSL_SP_MATH
- err = WC_KEY_SIZE_E;
-#else
- {
- ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
-
- /* setup the key variables */
- err = mp_init(&key->k);
-
- /* load curve info */
- if (err == MP_OKAY)
- err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
-
- /* generate k */
- if (err == MP_OKAY)
- err = wc_ecc_gen_k(rng, key->dp->size, &key->k, curve->order);
-
- /* generate public key from k */
- if (err == MP_OKAY)
- err = wc_ecc_make_pub_ex(key, curve, NULL);
-
- if (err == MP_OKAY)
- key->type = ECC_PRIVATEKEY;
-
- /* cleanup these on failure case only */
- if (err != MP_OKAY) {
- /* clean up */
- mp_forcezero(&key->k);
- }
-
- /* cleanup allocations */
- wc_ecc_curve_free(curve);
- #ifndef WOLFSSL_ATECC508A
- FREE_CURVE_SPECS();
- #endif
- }
-#endif
-
-#endif /* WOLFSSL_ATECC508A */
-
- return err;
-}
-
-#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: %d\n", sum);
-
- /* validate sum */
- if (ecc_sets[x].oidSum != sum) {
- printf(" Sum %d Not Valid!\n", ecc_sets[x].oidSum);
- }
- }
- mOidDumpDone = 1;
-}
-#endif /* ECC_DUMP_OID */
-
-/**
- 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
- */
-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 */
-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_DEV)
- key->devId = devId;
-#else
- (void)devId;
-#endif
-
-#ifdef WOLFSSL_ATECC508A
- key->slot = atmel_ecc_alloc();
- if (key->slot == ATECC_INVALID_SLOT) {
- return ECC_BAD_ARG_E;
- }
-#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);
- ret = mp_init(&key->k);
-#else
- ret = mp_init_multi(&key->k, key->pubkey.x, key->pubkey.y, key->pubkey.z,
- NULL, NULL);
-#endif /* ALT_ECC_SIZE */
- if (ret != MP_OKAY) {
- return MEMORY_E;
- }
-#endif /* WOLFSSL_ATECC508A */
-
-#ifdef WOLFSSL_HEAP_TEST
- key->heap = (void*)WOLFSSL_HEAP_TEST;
-#else
- key->heap = heap;
-#endif
-
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
- /* handle as async */
- ret = wolfAsync_DevCtxInit(&key->asyncDev, WOLFSSL_ASYNC_MARKER_ECC,
- key->heap, devId);
-#endif
-
- return ret;
-}
-
-int wc_ecc_init(ecc_key* key)
-{
- return wc_ecc_init_ex(key, NULL, INVALID_DEVID);
-}
-
-int wc_ecc_set_flags(ecc_key* key, word32 flags)
-{
- if (key == NULL) {
- return BAD_FUNC_ARG;
- }
- key->flags |= flags;
- return 0;
-}
-
-#ifdef HAVE_ECC_SIGN
-
-#ifndef NO_ASN
-
-#if defined(WOLFSSL_ATECC508A) || defined(PLUTON_CRYPTO_ECC)
-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
- {
- word32 keysize = (word32)key->dp->size;
-
- /* Check args */
- if (keysize > ECC_MAX_CRYPTO_HW_SIZE || inlen != keysize ||
- *outlen < keysize*2) {
- return ECC_BAD_ARG_E;
- }
-
- #if defined(WOLFSSL_ATECC508A)
- /* Sign: Result is 32-bytes of R then 32-bytes of S */
- err = atcatls_sign(key->slot, in, out);
- if (err != ATCA_SUCCESS) {
- return BAD_COND_E;
- }
- #elif defined(PLUTON_CRYPTO_ECC)
- {
- /* 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;
- }
- }
- #endif
-
- /* Load R and S */
- 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;
- }
-
- /* 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 */
-
-/**
- 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
- */
-int wc_ecc_sign_hash(const byte* in, word32 inlen, byte* out, word32 *outlen,
- WC_RNG* rng, ecc_key* key)
-{
- int err;
- mp_int *r = NULL, *s = NULL;
-#if !defined(WOLFSSL_ASYNC_CRYPT) && !defined(WOLFSSL_SMALL_STACK)
- mp_int r_lcl, s_lcl;
-#endif
-
- if (in == NULL || out == NULL || outlen == NULL || key == NULL ||
- rng == NULL) {
- return ECC_BAD_ARG_E;
- }
-
-#ifdef WOLF_CRYPTO_DEV
- if (key->devId != INVALID_DEVID) {
- err = wc_CryptoDev_EccSign(in, inlen, out, outlen, rng, key);
- if (err != NOT_COMPILED_IN)
- return err;
- }
-#endif
-
-#ifdef WOLFSSL_ASYNC_CRYPT
- err = wc_ecc_alloc_async(key);
- if (err != 0)
- return err;
- r = key->r;
- s = key->s;
-#elif !defined(WOLFSSL_SMALL_STACK)
- r = &r_lcl;
- s = &s_lcl;
-#else
- r = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (r == NULL)
- return MEMORY_E;
- s = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (s == NULL) {
- XFREE(r, key->heap, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#endif
-
- 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;
- }
-
- /* hardware crypto */
- #if defined(WOLFSSL_ATECC508A) || defined(PLUTON_CRYPTO_ECC)
- 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) {
- break;
- }
-
- FALL_THROUGH;
-
- case ECC_STATE_SIGN_ENCODE:
- key->state = ECC_STATE_SIGN_ENCODE;
-
- #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
- if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
- #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_TEST
- /* only do this if not simulator, since it overwrites result */
- wc_bigint_to_mp(&r->raw, r);
- wc_bigint_to_mp(&s->raw, s);
- #endif
- }
- #endif /* WOLFSSL_ASYNC_CRYPT */
-
- /* encoded with DSA header */
- err = StoreECC_DSA_Sig(out, outlen, r, s);
-
- /* done with R/S */
- mp_clear(r);
- mp_clear(s);
- #if !defined(WOLFSSL_ASYNC_CRYPT) && defined(WOLFSSL_SMALL_STACK)
- XFREE(s, key->heap, DYNAMIC_TYPE_ECC);
- XFREE(r, key->heap, DYNAMIC_TYPE_ECC);
- #endif
- break;
-
- default:
- err = BAD_STATE_E;
- break;
- }
-
- /* if async pending then return and skip done cleanup below */
- if (err == WC_PENDING_E) {
- key->state++;
- return err;
- }
-
- /* cleanup */
-#ifdef WOLFSSL_ASYNC_CRYPT
- wc_ecc_free_async(key);
-#endif
- key->state = ECC_STATE_NONE;
-
- return err;
-}
-#endif /* !NO_ASN */
-
-#ifndef WOLFSSL_ATECC508A
-/**
- 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;
-#ifndef WOLFSSL_SP_MATH
- mp_int* e;
-#if (!defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)) && \
- !defined(WOLFSSL_SMALL_STACK)
- mp_int e_lcl;
-#endif
- DECLARE_CURVE_SPECS(curve, 1);
-#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) != 1) {
- return ECC_BAD_ARG_E;
- }
-
-#ifdef WOLFSSL_SP_MATH
- if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1)
- return sp_ecc_sign_256(in, inlen, rng, &key->k, r, s, key->heap);
- else
- return WC_KEY_SIZE_E;
-#else
-#ifdef WOLFSSL_HAVE_SP_ECC
- #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
- defined(WOLFSSL_ASYNC_CRYPT_TEST)
- if (key->asyncDev.marker != WOLFSSL_ASYNC_MARKER_ECC)
- #endif
- {
-#ifndef WOLFSSL_SP_NO_256
- if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1)
- return sp_ecc_sign_256(in, inlen, rng, &key->k, r, s, key->heap);
-#endif
- }
-#endif /* WOLFSSL_HAVE_SP_ECC */
-
-
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
- defined(WOLFSSL_ASYNC_CRYPT_TEST)
- if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
- if (wc_AsyncTestInit(&key->asyncDev, ASYNC_TEST_ECC_SIGN)) {
- WC_ASYNC_TEST* testDev = &key->asyncDev.test;
- testDev->eccSign.in = in;
- testDev->eccSign.inSz = inlen;
- testDev->eccSign.rng = rng;
- testDev->eccSign.key = key;
- testDev->eccSign.r = r;
- testDev->eccSign.s = s;
- return WC_PENDING_E;
- }
- }
-#endif
-
- ALLOC_CURVE_SPECS(1);
-
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(HAVE_CAVIUM_V)
- err = wc_ecc_alloc_mpint(key, &key->e);
- if (err != 0) {
- FREE_CURVE_SPECS();
- return err;
- }
- e = key->e;
-#elif !defined(WOLFSSL_SMALL_STACK)
- e = &e_lcl;
-#else
- e = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (e == NULL) {
- FREE_CURVE_SPECS();
- return MEMORY_E;
- }
-#endif
-
- /* get the hash and load it as a bignum into 'e' */
- /* init the bignums */
- if ((err = mp_init(e)) != MP_OKAY) {
- #ifdef WOLFSSL_SMALL_STACK
- XFREE(e, key->heap, DYNAMIC_TYPE_ECC);
- #endif
- FREE_CURVE_SPECS();
- return err;
- }
-
- /* load curve info */
- err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ORDER);
-
- /* load digest into e */
- if (err == MP_OKAY) {
- /* we may need to truncate if hash is longer than key size */
- word32 orderBits = 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, (byte*)in, inlen);
-
- /* may still need bit truncation too */
- if (err == MP_OKAY && (WOLFSSL_BIT_SIZE * inlen) > orderBits)
- mp_rshb(e, WOLFSSL_BIT_SIZE - (orderBits & 0x7));
- }
-
- /* make up a key and export the public copy */
- if (err == MP_OKAY) {
- int loop_check = 0;
- #ifdef WOLFSSL_SMALL_STACK
- ecc_key* pubkey = NULL;
- #else
- ecc_key pubkey[1];
- #endif
-
- #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
- if (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(&key->k, &key->k.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, &key->k.raw, &k->raw,
- &r->raw, &s->raw, &curve->prime->raw, &curve->order->raw);
- #else
- if (err == MP_OKAY)
- err = IntelQaEcdsaSign(&key->asyncDev, &e->raw, &key->k.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 */
-
- #ifdef WOLFSSL_SMALL_STACK
- pubkey = (ecc_key*)XMALLOC(sizeof(ecc_key), key->heap, DYNAMIC_TYPE_ECC);
- if (pubkey == NULL)
- err = MEMORY_E;
- #endif
-
- /* don't use async for key, since we don't support async return here */
- if (err == MP_OKAY && (err = wc_ecc_init_ex(pubkey, key->heap,
- INVALID_DEVID)) == MP_OKAY) {
- #ifdef WOLFSSL_SMALL_STACK
- mp_int* b = NULL;
- #else
- mp_int b[1];
- #endif
-
- #ifdef WOLFSSL_SMALL_STACK
- if (err == MP_OKAY) {
- b = (mp_int*)XMALLOC(sizeof(mp_int), key->heap,
- DYNAMIC_TYPE_ECC);
- if (b == NULL)
- err = MEMORY_E;
- }
- #endif
-
- if (err == MP_OKAY) {
- err = mp_init(b);
- }
-
- #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 == MP_ZERO_E);
- loop_check = 0;
- }
-
- for (; err == MP_OKAY;) {
- if (++loop_check > 64) {
- err = RNG_FAILURE_E;
- break;
- }
- err = wc_ecc_make_key_ex(rng, key->dp->size, pubkey,
- key->dp->id);
- 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_YES) {
- #ifndef ALT_ECC_SIZE
- mp_clear(pubkey->pubkey.x);
- mp_clear(pubkey->pubkey.y);
- mp_clear(pubkey->pubkey.z);
- #endif
- mp_forcezero(&pubkey->k);
- }
- else {
- /* find s = (e + xr)/k
- = b.(e/k.b + x.r/k.b) */
-
- /* k = k.b */
- err = mp_mulmod(&pubkey->k, b, curve->order, &pubkey->k);
- if (err != MP_OKAY) break;
-
- /* k = 1/k.b */
- err = mp_invmod(&pubkey->k, curve->order, &pubkey->k);
- if (err != MP_OKAY) break;
-
- /* s = x.r */
- err = mp_mulmod(&key->k, r, curve->order, s);
- if (err != MP_OKAY) break;
-
- /* s = x.r/k.b */
- err = mp_mulmod(&pubkey->k, s, curve->order, s);
- if (err != MP_OKAY) break;
-
- /* e = e/k.b */
- err = mp_mulmod(&pubkey->k, e, curve->order, e);
- if (err != MP_OKAY) break;
-
- /* s = e/k.b + x.r/k.b
- = (e + x.r)/k.b */
- err = mp_add(e, s, s);
- if (err != MP_OKAY) break;
-
- /* s = b.(e + x.r)/k.b
- = (e + x.r)/k */
- err = mp_mulmod(s, b, curve->order, s);
- if (err != MP_OKAY) break;
-
- /* s = (e + xr)/k */
- err = mp_mod(s, curve->order, s);
- if (err != MP_OKAY) break;
-
- if (mp_iszero(s) == MP_NO)
- break;
- }
- }
- mp_clear(b);
- mp_free(b);
- #ifdef WOLFSSL_SMALL_STACK
- XFREE(b, key->heap, DYNAMIC_TYPE_ECC);
- #endif
- wc_ecc_free(pubkey);
- #ifdef WOLFSSL_SMALL_STACK
- XFREE(pubkey, key->heap, DYNAMIC_TYPE_ECC);
- #endif
- }
- }
-
- mp_clear(e);
- wc_ecc_curve_free(curve);
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(e, key->heap, DYNAMIC_TYPE_ECC);
-#endif
- FREE_CURVE_SPECS();
-#endif /* WOLFSSL_SP_MATH */
-
- return err;
-}
-#endif /* WOLFSSL_ATECC508A */
-#endif /* HAVE_ECC_SIGN */
-
-#ifdef WOLFSSL_CUSTOM_CURVES
-void wc_ecc_free_curve(const ecc_set_type* curve, void* heap)
-{
- 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);
-
- 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
-*/
-int wc_ecc_free(ecc_key* key)
-{
- if (key == NULL) {
- return 0;
- }
-
-#ifdef WOLFSSL_ASYNC_CRYPT
- #ifdef WC_ASYNC_ENABLE_ECC
- wolfAsync_DevCtxFree(&key->asyncDev, WOLFSSL_ASYNC_MARKER_ECC);
- #endif
- wc_ecc_free_async(key);
-#endif
-
-#ifdef WOLFSSL_ATECC508A
- atmel_ecc_free(key->slot);
- key->slot = -1;
-#else
-
- mp_clear(key->pubkey.x);
- mp_clear(key->pubkey.y);
- mp_clear(key->pubkey.z);
-
- mp_forcezero(&key->k);
-#endif /* WOLFSSL_ATECC508A */
-
-#ifdef WOLFSSL_CUSTOM_CURVES
- if (key->deallocSet && key->dp != NULL)
- wc_ecc_free_curve(key->dp, key->heap);
-#endif
-
- return 0;
-}
-
-#if !defined(WOLFSSL_SP_MATH) && !defined(WOLFSSL_ATECC508A)
-#ifdef ECC_SHAMIR
-
-/** 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
- ecc_point** precomp = NULL;
-#ifdef WOLFSSL_SMALL_STACK_CACHE
- ecc_key key;
-#endif
-#else
- ecc_point* precomp[SHAMIR_PRECOMP_SZ];
-#endif
- unsigned bitbufA, bitbufB, lenA, lenB, len, nA, nB, nibble;
- unsigned char* tA;
- unsigned char* tB;
- 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;
- }
-
- /* allocate memory */
- tA = (unsigned char*)XMALLOC(ECC_BUFSIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
- if (tA == NULL) {
- return GEN_MEM_ERR;
- }
- tB = (unsigned char*)XMALLOC(ECC_BUFSIZE, heap, DYNAMIC_TYPE_ECC_BUFFER);
- if (tB == NULL) {
- XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
- return GEN_MEM_ERR;
- }
-#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);
- return GEN_MEM_ERR;
- }
-#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);
- 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
-
- /* get sizes */
- lenA = mp_unsigned_bin_size(kA);
- lenB = 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++) {
- precomp[x] = wc_ecc_new_point_h(heap);
- if (precomp[x] == NULL) {
- err = GEN_MEM_ERR;
- 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) {
- #ifdef WOLFSSL_SMALL_STACK
- mp_int* mu = NULL;
- #else
- mp_int mu[1];
- #endif
- #ifdef WOLFSSL_SMALL_STACK
- mu = (mp_int*)XMALLOC(sizeof(mp_int), heap, DYNAMIC_TYPE_ECC);
- if (mu == NULL)
- err = MEMORY_E;
- #endif
- if (err == MP_OKAY) {
- err = mp_init(mu);
- }
- if (err == MP_OKAY) {
- err = mp_montgomery_calc_normalization(mu, modulus);
-
- if (err == MP_OKAY)
- /* copy ones ... */
- err = mp_mulmod(A->x, mu, modulus, precomp[1]->x);
-
- if (err == MP_OKAY)
- err = mp_mulmod(A->y, mu, modulus, precomp[1]->y);
- if (err == MP_OKAY)
- err = mp_mulmod(A->z, mu, modulus, precomp[1]->z);
-
- if (err == MP_OKAY)
- err = mp_mulmod(B->x, mu, modulus, precomp[1<<2]->x);
- if (err == MP_OKAY)
- err = mp_mulmod(B->y, mu, modulus, precomp[1<<2]->y);
- if (err == MP_OKAY)
- err = mp_mulmod(B->z, mu, modulus, precomp[1<<2]->z);
-
- /* done with mu */
- mp_clear(mu);
- #ifdef WOLFSSL_SMALL_STACK
- XFREE(mu, heap, DYNAMIC_TYPE_ECC);
- #endif
- }
- }
-
- if (err == MP_OKAY)
- /* precomp [i,0](A + B) table */
- err = ecc_projective_dbl_point(precomp[1], precomp[2], a, modulus, mp);
-
- if (err == MP_OKAY)
- err = ecc_projective_add_point(precomp[1], precomp[2], precomp[3],
- a, modulus, mp);
- if (err == MP_OKAY)
- /* precomp [0,i](A + B) table */
- err = ecc_projective_dbl_point(precomp[1<<2], precomp[2<<2], a, modulus, mp);
-
- if (err == MP_OKAY)
- err = ecc_projective_add_point(precomp[1<<2], precomp[2<<2], precomp[3<<2],
- a, modulus, mp);
-
- 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(precomp[x], precomp[(y<<2)],
- precomp[x+(y<<2)], a, modulus, mp);
- }
- }
- }
- }
-
- if (err == MP_OKAY) {
- nibble = 3;
- first = 1;
- bitbufA = tA[0];
- bitbufB = tB[0];
-
- /* for every byte of the multiplicands */
- for (x = 0;; ) {
- /* 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(C, C, a, modulus, mp);
- if (err == MP_OKAY)
- err = ecc_projective_dbl_point(C, C, a, modulus, mp);
- else
- break;
- }
-
- /* if not both zero */
- if ((nA != 0) || (nB != 0)) {
- if (first == 1) {
- /* if first, copy from table */
- first = 0;
- if (err == MP_OKAY)
- err = mp_copy(precomp[nA + (nB<<2)]->x, C->x);
-
- if (err == MP_OKAY)
- err = mp_copy(precomp[nA + (nB<<2)]->y, C->y);
-
- if (err == MP_OKAY)
- err = mp_copy(precomp[nA + (nB<<2)]->z, C->z);
- else
- break;
- } else {
- /* if not first, add from table */
- if (err == MP_OKAY)
- err = ecc_projective_add_point(C, precomp[nA + (nB<<2)], C,
- a, modulus, mp);
- else
- 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_h(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);
- C->key = NULL;
-#endif
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(precomp, heap, DYNAMIC_TYPE_ECC_BUFFER);
-#endif
- XFREE(tB, heap, DYNAMIC_TYPE_ECC_BUFFER);
- XFREE(tA, heap, DYNAMIC_TYPE_ECC_BUFFER);
-
- return err;
-}
-
-#endif /* ECC_SHAMIR */
-#endif /* !WOLFSSL_SP_MATH && !WOLFSSL_ATECC508A */
-
-
-#ifdef HAVE_ECC_VERIFY
-#ifndef NO_ASN
-/* 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)
- */
-int wc_ecc_verify_hash(const byte* sig, word32 siglen, const byte* hash,
- word32 hashlen, int* res, ecc_key* key)
-{
- int err;
- mp_int *r = NULL, *s = NULL;
-#ifndef WOLFSSL_ASYNC_CRYPT
-#ifndef WOLFSSL_SMALL_STACK
- mp_int r_lcl[1], s_lcl[1];
-#endif
-#endif
-
- if (sig == NULL || hash == NULL || res == NULL || key == NULL) {
- return ECC_BAD_ARG_E;
- }
-
-#ifdef WOLF_CRYPTO_DEV
- if (key->devId != INVALID_DEVID) {
- err = wc_CryptoDev_EccVerify(sig, siglen, hash, hashlen, res, key);
- if (err != NOT_COMPILED_IN)
- return err;
- }
-#endif
-
-#ifdef WOLFSSL_ASYNC_CRYPT
- err = wc_ecc_alloc_async(key);
- if (err != 0)
- return err;
- r = key->r;
- s = key->s;
-#else
-#ifndef WOLFSSL_SMALL_STACK
- r = r_lcl;
- s = s_lcl;
-#else
- r = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (r == NULL)
- return MEMORY_E;
- s = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (s == NULL) {
- XFREE(r, key->heap, DYNAMIC_TYPE_ECC);
- return MEMORY_E;
- }
-#endif
-#endif
-
- switch(key->state) {
- case ECC_STATE_NONE:
- case ECC_STATE_VERIFY_DECODE:
- key->state = ECC_STATE_VERIFY_DECODE;
-
- /* default to invalid signature */
- *res = 0;
-
- /* 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. */
- /* decode DSA header */
- err = DecodeECC_DSA_Sig(sig, siglen, r, s);
- if (err < 0) {
- break;
- }
- FALL_THROUGH;
-
- case ECC_STATE_VERIFY_DO:
- key->state = ECC_STATE_VERIFY_DO;
-
- 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);
- #ifdef WOLFSSL_SMALL_STACK
- XFREE(s, key->heap, DYNAMIC_TYPE_ECC);
- XFREE(r, key->heap, DYNAMIC_TYPE_ECC);
- #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;
- }
-
- /* if async pending then return and skip done cleanup below */
- if (err == WC_PENDING_E) {
- key->state++;
- return err;
- }
-
- /* cleanup */
-#ifdef WOLFSSL_ASYNC_CRYPT
- wc_ecc_free_async(key);
-#endif
- key->state = ECC_STATE_NONE;
-
- return err;
-}
-#endif /* !NO_ASN */
-
-
-/**
- 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)
-*/
-int wc_ecc_verify_hash_ex(mp_int *r, mp_int *s, const byte* hash,
- word32 hashlen, int* res, ecc_key* key)
-{
- int err;
-#ifdef WOLFSSL_ATECC508A
- byte sigRS[ATECC_KEY_SIZE*2];
-#elif !defined(WOLFSSL_SP_MATH)
- int did_init = 0;
- ecc_point *mG = NULL, *mQ = NULL;
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* v = NULL;
- mp_int* w = NULL;
- mp_int* u1 = NULL;
- mp_int* u2 = NULL;
-#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
- mp_int* e_lcl = NULL;
-#endif
-#else /* WOLFSSL_SMALL_STACK */
- mp_int v[1];
- mp_int w[1];
- mp_int u1[1];
- mp_int u2[1];
-#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
- mp_int e_lcl[1];
-#endif
-#endif /* WOLFSSL_SMALL_STACK */
- mp_int* e;
- DECLARE_CURVE_SPECS(curve, 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) != 1) {
- return ECC_BAD_ARG_E;
- }
-
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
- defined(WOLFSSL_ASYNC_CRYPT_TEST)
- if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
- if (wc_AsyncTestInit(&key->asyncDev, ASYNC_TEST_ECC_VERIFY)) {
- WC_ASYNC_TEST* testDev = &key->asyncDev.test;
- testDev->eccVerify.r = r;
- testDev->eccVerify.s = s;
- testDev->eccVerify.hash = hash;
- testDev->eccVerify.hashlen = hashlen;
- testDev->eccVerify.stat = res;
- testDev->eccVerify.key = key;
- return WC_PENDING_E;
- }
- }
-#endif
-
-#ifdef WOLFSSL_ATECC508A
- /* Extract R and S */
- err = mp_to_unsigned_bin(r, &sigRS[0]);
- if (err != MP_OKAY) {
- return err;
- }
- err = mp_to_unsigned_bin(s, &sigRS[ATECC_KEY_SIZE]);
- if (err != MP_OKAY) {
- return err;
- }
-
- err = atcatls_verify(hash, sigRS, key->pubkey_raw, (bool*)res);
- if (err != ATCA_SUCCESS) {
- return BAD_COND_E;
- }
- (void)hashlen;
-
-#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");
- err = wc_ecc_make_pub_ex(key, NULL, NULL);
- if (err != MP_OKAY) {
- WOLFSSL_MSG("Unable to extract public key");
- return err;
- }
- }
-
-#ifdef WOLFSSL_SP_MATH
- if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
- return sp_ecc_verify_256(hash, hashlen, key->pubkey.x, key->pubkey.y,
- key->pubkey.z, r, s, res, key->heap);
- }
- else
- return WC_KEY_SIZE_E;
-#else
-#ifdef WOLFSSL_HAVE_SP_ECC
-#ifndef WOLFSSL_SP_NO_256
- #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC) && \
- defined(WOLFSSL_ASYNC_CRYPT_TEST)
- if (key->asyncDev.marker != WOLFSSL_ASYNC_MARKER_ECC)
- #endif
- {
- if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1)
- return sp_ecc_verify_256(hash, hashlen, key->pubkey.x, key->pubkey.y,
- key->pubkey.z,r, s, res, key->heap);
- }
-#endif /* WOLFSSL_SP_NO_256 */
-#endif /* WOLFSSL_HAVE_SP_ECC */
-
- ALLOC_CURVE_SPECS(ECC_CURVE_FIELD_COUNT);
-
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(HAVE_CAVIUM_V)
- err = wc_ecc_alloc_mpint(key, &key->e);
- if (err != 0) {
- FREE_CURVE_SPECS();
- return err;
- }
- e = key->e;
-#else
-#ifdef WOLFSSL_SMALL_STACK
- e_lcl = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (e_lcl == NULL) {
- FREE_CURVE_SPECS();
- return MEMORY_E;
- }
-#endif
- e = e_lcl;
-#endif
-
- err = mp_init(e);
- if (err != MP_OKAY)
- return MEMORY_E;
-
- /* read in the specs for this curve */
- err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
-
- /* check for zero */
- if (err == MP_OKAY) {
- if (mp_iszero(r) == MP_YES || mp_iszero(s) == MP_YES ||
- mp_cmp(r, curve->order) != MP_LT ||
- mp_cmp(s, curve->order) != MP_LT) {
- err = MP_ZERO_E;
- }
- }
-
- /* read hash */
- if (err == MP_OKAY) {
- /* we may need to truncate if hash is longer than key size */
- unsigned int orderBits = 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, WOLFSSL_BIT_SIZE - (orderBits & 0x7));
- }
-
- /* check for async hardware acceleration */
-#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
- if (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;
-
- 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
- wc_ecc_curve_free(curve);
- FREE_CURVE_SPECS();
-
- return err;
- }
- #endif /* HAVE_CAVIUM_V || HAVE_INTEL_QA */
- }
-#endif /* WOLFSSL_ASYNC_CRYPT */
-
-#ifdef WOLFSSL_SMALL_STACK
- if (err == MP_OKAY) {
- v = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (v == NULL)
- err = MEMORY_E;
- }
- if (err == MP_OKAY) {
- w = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (w == NULL)
- err = MEMORY_E;
- }
- if (err == MP_OKAY) {
- u1 = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (u1 == NULL)
- err = MEMORY_E;
- }
- if (err == MP_OKAY) {
- u2 = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_ECC);
- if (u2 == NULL)
- err = MEMORY_E;
- }
-#endif
-
- /* allocate ints */
- if (err == MP_OKAY) {
- if ((err = mp_init_multi(v, w, u1, u2, NULL, NULL)) != MP_OKAY) {
- err = MEMORY_E;
- }
- did_init = 1;
- }
-
- /* allocate points */
- if (err == MP_OKAY) {
- mG = wc_ecc_new_point_h(key->heap);
- mQ = wc_ecc_new_point_h(key->heap);
- if (mQ == NULL || mG == NULL)
- err = MEMORY_E;
- }
-
- /* 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);
-
- /* u2 = rw */
- if (err == MP_OKAY)
- err = mp_mulmod(r, w, curve->order, u2);
-
- /* 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);
-
-#ifdef 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
- {
- mp_digit mp = 0;
-
- /* compute u1*mG + u2*mQ = mG */
- 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);
- }
-
- /* 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(mQ, mG, mG, curve->Af,
- 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;
- }
-
- /* cleanup */
- wc_ecc_del_point_h(mG, key->heap);
- wc_ecc_del_point_h(mQ, key->heap);
-
- mp_clear(e);
- if (did_init) {
- mp_clear(v);
- mp_clear(w);
- mp_clear(u1);
- mp_clear(u2);
- }
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(u2, key->heap, DYNAMIC_TYPE_ECC);
- XFREE(u1, key->heap, DYNAMIC_TYPE_ECC);
- XFREE(w, key->heap, DYNAMIC_TYPE_ECC);
- XFREE(v, key->heap, DYNAMIC_TYPE_ECC);
-#if !defined(WOLFSSL_ASYNC_CRYPT) || !defined(HAVE_CAVIUM_V)
- XFREE(e_lcl, key->heap, DYNAMIC_TYPE_ECC);
-#endif
-#endif
-
- wc_ecc_curve_free(curve);
- FREE_CURVE_SPECS();
-
-#endif /* WOLFSSL_SP_MATH */
-#endif /* WOLFSSL_ATECC508A */
-
- return err;
-}
-#endif /* HAVE_ECC_VERIFY */
-
-#ifdef HAVE_ECC_KEY_IMPORT
-/* import point from der */
-int wc_ecc_import_point_der(byte* in, word32 inLen, const int curve_idx,
- ecc_point* point)
-{
- int err = 0;
-#ifndef WOLFSSL_ATECC508A
- int compressed = 0;
- int keysize;
- byte pointType;
-
- 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;
- }
-
- /* 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;
-
- /* 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 */
- keysize = inLen>>1;
-
-#ifdef WOLFSSL_ATECC508A
- /* populate key->pubkey_raw */
- XMEMCPY(key->pubkey_raw, (byte*)in, sizeof(key->pubkey_raw));
-#endif
-
- /* read data */
- if (err == MP_OKAY)
- err = mp_read_unsigned_bin(point->x, (byte*)in, keysize);
-
-#ifdef HAVE_COMP_KEY
- if (err == MP_OKAY && compressed == 1) { /* build y */
-#ifndef WOLFSSL_SP_MATH
- int did_init = 0;
- mp_int t1, t2;
- DECLARE_CURVE_SPECS(curve, 3);
-
- ALLOC_CURVE_SPECS(3);
-
- 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));
-
- /* 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);
- }
-
- wc_ecc_curve_free(curve);
- FREE_CURVE_SPECS();
-#else
- sp_ecc_uncompress_256(point->x, pointType, point->y);
-#endif
- }
-#endif
-
- if (err == MP_OKAY && compressed == 0)
- err = mp_read_unsigned_bin(point->y, (byte*)in + keysize, 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);
- }
-
-#else
- err = NOT_COMPILED_IN;
- (void)in;
- (void)inLen;
- (void)curve_idx;
- (void)point;
-#endif /* !WOLFSSL_ATECC508A */
-
- return err;
-}
-#endif /* HAVE_ECC_KEY_IMPORT */
-
-#ifdef HAVE_ECC_KEY_EXPORT
-/* export point to der */
-int wc_ecc_export_point_der(const int curve_idx, ecc_point* point, byte* out,
- word32* outLen)
-{
- int ret = MP_OKAY;
- word32 numlen;
-#ifndef WOLFSSL_ATECC508A
-#ifdef WOLFSSL_SMALL_STACK
- byte* buf;
-#else
- byte buf[ECC_BUFSIZE];
-#endif
-#endif /* !WOLFSSL_ATECC508A */
-
- if ((curve_idx < 0) || (wc_ecc_is_valid_idx(curve_idx) == 0))
- return ECC_BAD_ARG_E;
-
- /* return length needed only */
- if (point != NULL && out == NULL && outLen != NULL) {
- numlen = ecc_sets[curve_idx].size;
- *outLen = 1 + 2*numlen;
- return LENGTH_ONLY_E;
- }
-
- if (point == NULL || out == NULL || outLen == NULL)
- return ECC_BAD_ARG_E;
-
- numlen = ecc_sets[curve_idx].size;
-
- if (*outLen < (1 + 2*numlen)) {
- *outLen = 1 + 2*numlen;
- return BUFFER_E;
- }
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- ret = BAD_COND_E;
-
-#else
-
- /* 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 - 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 - 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
-#endif /* WOLFSSL_ATECC508A */
-
- return ret;
-}
-
-
-/* export public ECC key in ANSI X9.63 format */
-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) {
- numlen = key->dp->size;
- *outLen = 1 + 2*numlen;
- return 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 (wc_ecc_is_valid_idx(key->idx) == 0) {
- return ECC_BAD_ARG_E;
- }
- numlen = 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 = mp_unsigned_bin_size(key->pubkey.x);
- pubylen = 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 */
-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 */
-
-
-#ifndef WOLFSSL_ATECC508A
-
-/* is ecc point on curve described by dp ? */
-int wc_ecc_is_point(ecc_point* ecp, mp_int* a, mp_int* b, mp_int* prime)
-{
-#ifndef WOLFSSL_SP_MATH
- int err;
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* t1 = NULL;
- mp_int* t2 = NULL;
-#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;
- }
-
- /* 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_sub(t1, t2, 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 = MP_VAL;
- } else {
- err = MP_OKAY;
- }
- }
-
- mp_clear(t1);
- mp_clear(t2);
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(t2, NULL, DYNAMIC_TYPE_ECC);
- XFREE(t1, NULL, DYNAMIC_TYPE_ECC);
-#endif
-
- return err;
-#else
- (void)a;
- (void)b;
- (void)prime;
-
- return sp_ecc_is_point_256(ecp->x, ecp->y);
-#endif
-}
-
-#ifndef WOLFSSL_SP_MATH
-/* validate privkey * generator == pubkey, 0 on success */
-static int ecc_check_privkey_gen(ecc_key* key, mp_int* a, mp_int* prime)
-{
- int err = MP_OKAY;
- ecc_point* base = NULL;
- ecc_point* res = NULL;
- DECLARE_CURVE_SPECS(curve, 2);
-
- if (key == NULL)
- return BAD_FUNC_ARG;
-
- ALLOC_CURVE_SPECS(2);
-
- res = wc_ecc_new_point_h(key->heap);
- if (res == NULL)
- err = MEMORY_E;
-
-#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(&key->k, res, 1, key->heap);
- }
- else
-#endif
-#endif
- {
- base = wc_ecc_new_point_h(key->heap);
- if (base == NULL)
- err = MEMORY_E;
-
- if (err == MP_OKAY) {
- /* load curve info */
- err = wc_ecc_curve_load(key->dp, &curve,
- (ECC_CURVE_FIELD_GX | ECC_CURVE_FIELD_GY));
- }
-
- /* 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);
-
- if (err == MP_OKAY)
- err = wc_ecc_mulmod_ex(&key->k, base, res, a, prime, 1, key->heap);
- }
-
- 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_h(res, key->heap);
- wc_ecc_del_point_h(base, key->heap);
- FREE_CURVE_SPECS();
-
- return err;
-}
-#endif
-
-#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
-
-/* check privkey generator helper, creates prime needed */
-static int ecc_check_privkey_gen_helper(ecc_key* key)
-{
- int err;
-#ifndef WOLFSSL_ATECC508A
- DECLARE_CURVE_SPECS(curve, 2);
-#endif
-
- if (key == NULL)
- return BAD_FUNC_ARG;
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- err = BAD_COND_E;
-
-#else
- ALLOC_CURVE_SPECS(2);
-
- /* load curve info */
- 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;
-}
-
-#endif /* WOLFSSL_VALIDATE_ECC_IMPORT */
-
-
-#if defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || !defined(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;
- int err;
-
- if (key == NULL)
- return BAD_FUNC_ARG;
-
- inf = wc_ecc_new_point_h(key->heap);
- if (inf == NULL)
- err = MEMORY_E;
- else {
-#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
-#endif
-#ifndef 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_h(inf, key->heap);
-
- return err;
-}
-#endif
-#endif /* !WOLFSSL_ATECC508A */
-
-
-/* perform sanity checks on ecc key validity, 0 on success */
-int wc_ecc_check_key(ecc_key* key)
-{
- int err;
-#ifndef WOLFSSL_SP_MATH
-#ifndef WOLFSSL_ATECC508A
- mp_int* b = NULL;
-#ifdef USE_ECC_B_PARAM
- DECLARE_CURVE_SPECS(curve, 4);
-#else
-#ifndef WOLFSSL_SMALL_STACK
- mp_int b_lcl;
-#endif
- DECLARE_CURVE_SPECS(curve, 3);
-#endif /* USE_ECC_B_PARAM */
-#endif /* WOLFSSL_ATECC508A */
-
- if (key == NULL)
- return BAD_FUNC_ARG;
-
-#ifdef WOLFSSL_ATECC508A
-
- if (key->slot == ATECC_INVALID_SLOT)
- return ECC_BAD_ARG_E;
-
- err = 0; /* consider key check success on ECC508A */
-
-#else
- #ifdef USE_ECC_B_PARAM
- ALLOC_CURVE_SPECS(4);
- #else
- ALLOC_CURVE_SPECS(3);
- #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
-
- /* SP 800-56Ar3, section 5.6.2.3.3, 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 */
- 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
- b = curve->Bf;
-#endif
-
- /* SP 800-56Ar3, section 5.6.2.3.3, process step 2 */
- /* Qx must be in the range [0, p-1] */
- if (mp_cmp(key->pubkey.x, curve->prime) != MP_LT)
- err = ECC_OUT_OF_RANGE_E;
-
- /* Qy must be in the range [0, p-1] */
- if (mp_cmp(key->pubkey.y, curve->prime) != MP_LT)
- err = ECC_OUT_OF_RANGE_E;
-
- /* SP 800-56Ar3, section 5.6.2.3.3, process steps 3 */
- /* make sure point is actually on curve */
- if (err == MP_OKAY)
- err = wc_ecc_is_point(&key->pubkey, curve->Af, b, curve->prime);
-
- /* SP 800-56Ar3, section 5.6.2.3.3, process steps 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);
-
- /* 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);
-
- 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();
-
-#endif /* WOLFSSL_ATECC508A */
-#else
- if (key == NULL)
- return BAD_FUNC_ARG;
-
- /* pubkey point cannot be at infinity */
- if (key->idx != ECC_CUSTOM_IDX && ecc_sets[key->idx].id == ECC_SECP256R1) {
- err = sp_ecc_check_key_256(key->pubkey.x, key->pubkey.y, &key->k,
- key->heap);
- }
- else
- err = WC_KEY_SIZE_E;
-#endif
-
- return err;
-}
-
-#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;
- int compressed = 0;
- int keysize = 0;
- byte pointType;
-
- 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);
- err = mp_init(&key->k);
- #else
- err = mp_init_multi(&key->k,
- key->pubkey.x, key->pubkey.y, key->pubkey.z, NULL, NULL);
- #endif
- if (err != MP_OKAY)
- return MEMORY_E;
-
- /* 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 (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 = (inLen>>1);
- 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, (byte*)in, keysize);
-
-#ifdef HAVE_COMP_KEY
- if (err == MP_OKAY && compressed == 1) { /* build y */
-#ifndef WOLFSSL_SP_MATH
- mp_int t1, t2;
- int did_init = 0;
-
- DECLARE_CURVE_SPECS(curve, 3);
- ALLOC_CURVE_SPECS(3);
-
- 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));
-
- /* compute x^3 */
- if (err == MP_OKAY)
- err = mp_sqr(key->pubkey.x, &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);
- }
-
- wc_ecc_curve_free(curve);
- FREE_CURVE_SPECS();
-#else
- sp_ecc_uncompress_256(key->pubkey.x, pointType, key->pubkey.y);
-#endif
- }
-#endif /* HAVE_COMP_KEY */
-
- if (err == MP_OKAY && compressed == 0)
- err = mp_read_unsigned_bin(key->pubkey.y, (byte*)in + keysize, keysize);
- if (err == MP_OKAY)
- err = mp_set(key->pubkey.z, 1);
-
-#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
- if (err == MP_OKAY)
- err = wc_ecc_check_key(key);
-#endif
-
- if (err != MP_OKAY) {
- mp_clear(key->pubkey.x);
- mp_clear(key->pubkey.y);
- mp_clear(key->pubkey.z);
- mp_clear(&key->k);
- }
-
- return err;
-}
-
-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 private key only raw, outLen is in/out size
- return MP_OKAY on success */
-int wc_ecc_export_private_only(ecc_key* key, byte* out, word32* outLen)
-{
- word32 numlen;
-
- if (key == NULL || out == NULL || outLen == NULL) {
- return BAD_FUNC_ARG;
- }
-
- if (wc_ecc_is_valid_idx(key->idx) == 0) {
- return ECC_BAD_ARG_E;
- }
- numlen = key->dp->size;
-
- if (*outLen < numlen) {
- *outLen = numlen;
- return BUFFER_E;
- }
- *outLen = numlen;
- XMEMSET(out, 0, *outLen);
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- return BAD_COND_E;
-
-#else
-
- return mp_to_unsigned_bin(&key->k, out + (numlen -
- mp_unsigned_bin_size(&key->k)));
-#endif /* WOLFSSL_ATECC508A */
-}
-
-
-/* export ecc key to component form, d is optional if only exporting public
- * return MP_OKAY on success */
-static int wc_ecc_export_raw(ecc_key* key, byte* qx, word32* qxLen,
- byte* qy, word32* qyLen, byte* d, word32* dLen)
-{
- int err;
- byte exportPriv = 0;
- word32 numLen;
-
- if (key == NULL || qx == NULL || qxLen == NULL || qy == NULL ||
- qyLen == NULL) {
- return BAD_FUNC_ARG;
- }
-
- if (key->type == ECC_PRIVATEKEY_ONLY) {
- return ECC_PRIVATEONLY_E;
- }
-
- if (wc_ecc_is_valid_idx(key->idx) == 0) {
- return ECC_BAD_ARG_E;
- }
- numLen = key->dp->size;
-
- if (d != NULL) {
- if (dLen == NULL || key->type != ECC_PRIVATEKEY)
- return BAD_FUNC_ARG;
- exportPriv = 1;
- }
-
- /* check public buffer sizes */
- if ((*qxLen < numLen) || (*qyLen < numLen)) {
- *qxLen = numLen;
- *qyLen = numLen;
- return BUFFER_E;
- }
-
- *qxLen = numLen;
- *qyLen = numLen;
-
- XMEMSET(qx, 0, *qxLen);
- XMEMSET(qy, 0, *qyLen);
-
- /* private d component */
- if (exportPriv == 1) {
-
- /* check private buffer size */
- if (*dLen < numLen) {
- *dLen = numLen;
- return BUFFER_E;
- }
-
- *dLen = numLen;
- XMEMSET(d, 0, *dLen);
-
- #ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- return BAD_COND_E;
-
- #else
-
- /* private key, d */
- err = mp_to_unsigned_bin(&key->k, d +
- (numLen - mp_unsigned_bin_size(&key->k)));
- if (err != MP_OKAY)
- return err;
- #endif /* WOLFSSL_ATECC508A */
- }
-
- /* public x component */
- err = mp_to_unsigned_bin(key->pubkey.x, qx +
- (numLen - mp_unsigned_bin_size(key->pubkey.x)));
- if (err != MP_OKAY)
- return err;
-
- /* public y component */
- err = mp_to_unsigned_bin(key->pubkey.y, qy +
- (numLen - mp_unsigned_bin_size(key->pubkey.y)));
- if (err != MP_OKAY)
- return err;
-
- return 0;
-}
-
-
-/* export public key to raw elements including public (Qx,Qy)
- * 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)
-{
- return wc_ecc_export_raw(key, qx, qxLen, qy, qyLen, NULL, NULL);
-}
-
-
-/* export ecc key to raw elements including public (Qx,Qy) and private (d)
- * 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)
-{
- /* sanitize d and dLen, other args are checked later */
- if (d == NULL || dLen == NULL)
- return BAD_FUNC_ARG;
-
- return wc_ecc_export_raw(key, qx, qxLen, qy, qyLen, d, dLen);
-}
-
-#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;
- word32 idx = 0;
-
- if (key == NULL || priv == NULL)
- return BAD_FUNC_ARG;
-
- /* public optional, NULL if only importing private */
- if (pub != NULL) {
- 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 {
- /* make sure required variables are reset */
- wc_ecc_reset(key);
-
- /* set key size */
- ret = wc_ecc_set_curve(key, privSz, curve_id);
- key->type = ECC_PRIVATEKEY_ONLY;
- }
-
- if (ret != 0)
- return ret;
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- return BAD_COND_E;
-
-#else
-
- ret = mp_read_unsigned_bin(&key->k, priv, privSz);
-
-#endif /* WOLFSSL_ATECC508A */
-
-#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
- if ((pub != NULL) && (ret == MP_OKAY))
- /* public key needed to perform key validation */
- ret = ecc_check_privkey_gen_helper(key);
-#endif
-
- return ret;
-}
-
-/* ecc private key import, public key in ANSI X9.63 format, private raw */
-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
-*/
-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);
-
- /* convert mp_ints to ECDSA sig, initializes rtmp and stmp internally */
- if (err == MP_OKAY)
- err = StoreECC_DSA_Sig(out, outlen, rtmp, stmp);
-
- if (err == MP_OKAY) {
- if (mp_iszero(rtmp) == MP_YES || mp_iszero(stmp) == MP_YES)
- err = MP_ZERO_E;
- }
-
- 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)
-{
- 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_unsigned_bin(rtmp, r, rSz);
- if (err == MP_OKAY)
- err = mp_read_unsigned_bin(stmp, s, sSz);
-
- /* convert mp_ints to ECDSA sig, initializes rtmp and stmp internally */
- if (err == MP_OKAY)
- err = StoreECC_DSA_Sig(out, outlen, rtmp, stmp);
-
- if (err == MP_OKAY) {
- if (mp_iszero(rtmp) == MP_YES || mp_iszero(stmp) == MP_YES)
- err = MP_ZERO_E;
- }
-
- 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 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)
-{
- int err;
- word32 x = 0;
-#ifdef WOLFSSL_SMALL_STACK
- mp_int* rtmp = NULL;
- mp_int* stmp = NULL;
-#else
- mp_int rtmp[1];
- mp_int stmp[1];
-#endif
-
- if (sig == NULL || r == NULL || rLen == NULL || s == NULL || sLen == 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 = DecodeECC_DSA_Sig(sig, sigLen, rtmp, stmp);
-
- /* extract r */
- if (err == MP_OKAY) {
- x = mp_unsigned_bin_size(rtmp);
- if (*rLen < x)
- err = BUFFER_E;
-
- if (err == MP_OKAY) {
- *rLen = x;
- err = mp_to_unsigned_bin(rtmp, r);
- }
- }
-
- /* extract s */
- if (err == MP_OKAY) {
- x = mp_unsigned_bin_size(stmp);
- if (*sLen < x)
- err = BUFFER_E;
-
- if (err == MP_OKAY) {
- *sLen = x;
- err = mp_to_unsigned_bin(stmp, s);
- }
- }
-
- 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;
-}
-#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 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 */
- err = wc_ecc_set_curve(key, 0, curve_id);
- if (err != 0) {
- return err;
- }
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- err = BAD_COND_E;
- (void)d;
- (void)encType;
-
-#else
-
- /* 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);
- err = mp_init(&key->k);
-#else
- err = mp_init_multi(&key->k, key->pubkey.x, key->pubkey.y, key->pubkey.z,
- NULL, NULL);
-#endif
- if (err != MP_OKAY)
- return MEMORY_E;
-
- /* read Qx */
- if (err == MP_OKAY) {
- if (encType == ECC_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,
- key->dp->size);
- }
-
- /* read Qy */
- if (err == MP_OKAY) {
- if (encType == ECC_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,
- key->dp->size);
-
- }
-
- if (err == MP_OKAY)
- err = mp_set(key->pubkey.z, 1);
-
- /* import private key */
- if (err == MP_OKAY) {
- if (d != NULL) {
- key->type = ECC_PRIVATEKEY;
-
- if (encType == ECC_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);
-
- } else {
- key->type = ECC_PUBLICKEY;
- }
- }
-
-#ifdef WOLFSSL_VALIDATE_ECC_IMPORT
- if (err == MP_OKAY)
- err = wc_ecc_check_key(key);
-#endif
-
- if (err != MP_OKAY) {
- mp_clear(key->pubkey.x);
- mp_clear(key->pubkey.y);
- mp_clear(key->pubkey.z);
- mp_clear(&key->k);
- }
-#endif /* WOLFSSL_ATECC508A */
-
- 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,
- ECC_TYPE_HEX_STR);
-
-}
-
-/* Import x, y and optional private (d) as unsigned binary */
-int wc_ecc_import_unsigned(ecc_key* key, byte* qx, byte* qy,
- byte* d, int curve_id)
-{
- return wc_ecc_import_raw_private(key, (const char*)qx, (const char*)qy,
- (const char*)d, curve_id, ECC_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
-*/
-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,
- ECC_TYPE_HEX_STR);
- }
-
- return err;
-}
-#endif /* HAVE_ECC_KEY_IMPORT */
-
-/* key size in octets */
-int wc_ecc_size(ecc_key* key)
-{
- if (key == NULL) return 0;
-
- return key->dp->size;
-}
-
-int wc_ecc_sig_size_calc(int sz)
-{
- return (sz * 2) + SIG_HEADER_SZ + ECC_MAX_PAD_SZ;
-}
-
-/* worst case estimate, check actual return from wc_ecc_sign_hash for actual
- value of signature size in octets */
-int wc_ecc_sig_size(ecc_key* key)
-{
- int sz = wc_ecc_size(key);
- if (sz <= 0)
- return sz;
-
- return wc_ecc_sig_size_calc(sz);
-}
-
-
-#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
-
-
-#ifndef 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 */
- 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 volatile int initMutex = 0; /* prevent multiple mutex inits */
- static wolfSSL_Mutex ecc_fp_lock;
-#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 },
- { 5, 240, 2048 }, { 6, 241, 2048 }, { 6, 242, 2048 }, { 7, 243, 2048 }, { 6, 244, 2048 }, { 7, 245, 2048 }, { 7, 246, 2048 }, { 8, 247, 2048 },
- { 6, 248, 2048 }, { 7, 249, 2048 }, { 7, 250, 2048 }, { 8, 251, 2048 }, { 7, 252, 2048 }, { 8, 253, 2048 }, { 8, 254, 2048 }, { 9, 255, 2048 },
- { 2, 256, 2048 }, { 3, 257, 2048 }, { 3, 258, 2048 }, { 4, 259, 2048 }, { 3, 260, 2048 }, { 4, 261, 2048 }, { 4, 262, 2048 }, { 5, 263, 2048 },
- { 3, 264, 2048 }, { 4, 265, 2048 }, { 4, 266, 2048 }, { 5, 267, 2048 }, { 4, 268, 2048 }, { 5, 269, 2048 }, { 5, 270, 2048 }, { 6, 271, 2048 },
- { 3, 272, 2048 }, { 4, 273, 2048 }, { 4, 274, 2048 }, { 5, 275, 2048 }, { 4, 276, 2048 }, { 5, 277, 2048 }, { 5, 278, 2048 }, { 6, 279, 2048 },
- { 4, 280, 2048 }, { 5, 281, 2048 }, { 5, 282, 2048 }, { 6, 283, 2048 }, { 5, 284, 2048 }, { 6, 285, 2048 }, { 6, 286, 2048 }, { 7, 287, 2048 },
- { 3, 288, 2048 }, { 4, 289, 2048 }, { 4, 290, 2048 }, { 5, 291, 2048 }, { 4, 292, 2048 }, { 5, 293, 2048 }, { 5, 294, 2048 }, { 6, 295, 2048 },
- { 4, 296, 2048 }, { 5, 297, 2048 }, { 5, 298, 2048 }, { 6, 299, 2048 }, { 5, 300, 2048 }, { 6, 301, 2048 }, { 6, 302, 2048 }, { 7, 303, 2048 },
- { 4, 304, 2048 }, { 5, 305, 2048 }, { 5, 306, 2048 }, { 6, 307, 2048 }, { 5, 308, 2048 }, { 6, 309, 2048 }, { 6, 310, 2048 }, { 7, 311, 2048 },
- { 5, 312, 2048 }, { 6, 313, 2048 }, { 6, 314, 2048 }, { 7, 315, 2048 }, { 6, 316, 2048 }, { 7, 317, 2048 }, { 7, 318, 2048 }, { 8, 319, 2048 },
- { 3, 320, 2048 }, { 4, 321, 2048 }, { 4, 322, 2048 }, { 5, 323, 2048 }, { 4, 324, 2048 }, { 5, 325, 2048 }, { 5, 326, 2048 }, { 6, 327, 2048 },
- { 4, 328, 2048 }, { 5, 329, 2048 }, { 5, 330, 2048 }, { 6, 331, 2048 }, { 5, 332, 2048 }, { 6, 333, 2048 }, { 6, 334, 2048 }, { 7, 335, 2048 },
- { 4, 336, 2048 }, { 5, 337, 2048 }, { 5, 338, 2048 }, { 6, 339, 2048 }, { 5, 340, 2048 }, { 6, 341, 2048 }, { 6, 342, 2048 }, { 7, 343, 2048 },
- { 5, 344, 2048 }, { 6, 345, 2048 }, { 6, 346, 2048 }, { 7, 347, 2048 }, { 6, 348, 2048 }, { 7, 349, 2048 }, { 7, 350, 2048 }, { 8, 351, 2048 },
- { 4, 352, 2048 }, { 5, 353, 2048 }, { 5, 354, 2048 }, { 6, 355, 2048 }, { 5, 356, 2048 }, { 6, 357, 2048 }, { 6, 358, 2048 }, { 7, 359, 2048 },
- { 5, 360, 2048 }, { 6, 361, 2048 }, { 6, 362, 2048 }, { 7, 363, 2048 }, { 6, 364, 2048 }, { 7, 365, 2048 }, { 7, 366, 2048 }, { 8, 367, 2048 },
- { 5, 368, 2048 }, { 6, 369, 2048 }, { 6, 370, 2048 }, { 7, 371, 2048 }, { 6, 372, 2048 }, { 7, 373, 2048 }, { 7, 374, 2048 }, { 8, 375, 2048 },
- { 6, 376, 2048 }, { 7, 377, 2048 }, { 7, 378, 2048 }, { 8, 379, 2048 }, { 7, 380, 2048 }, { 8, 381, 2048 }, { 8, 382, 2048 }, { 9, 383, 2048 },
- { 3, 384, 2048 }, { 4, 385, 2048 }, { 4, 386, 2048 }, { 5, 387, 2048 }, { 4, 388, 2048 }, { 5, 389, 2048 }, { 5, 390, 2048 }, { 6, 391, 2048 },
- { 4, 392, 2048 }, { 5, 393, 2048 }, { 5, 394, 2048 }, { 6, 395, 2048 }, { 5, 396, 2048 }, { 6, 397, 2048 }, { 6, 398, 2048 }, { 7, 399, 2048 },
- { 4, 400, 2048 }, { 5, 401, 2048 }, { 5, 402, 2048 }, { 6, 403, 2048 }, { 5, 404, 2048 }, { 6, 405, 2048 }, { 6, 406, 2048 }, { 7, 407, 2048 },
- { 5, 408, 2048 }, { 6, 409, 2048 }, { 6, 410, 2048 }, { 7, 411, 2048 }, { 6, 412, 2048 }, { 7, 413, 2048 }, { 7, 414, 2048 }, { 8, 415, 2048 },
- { 4, 416, 2048 }, { 5, 417, 2048 }, { 5, 418, 2048 }, { 6, 419, 2048 }, { 5, 420, 2048 }, { 6, 421, 2048 }, { 6, 422, 2048 }, { 7, 423, 2048 },
- { 5, 424, 2048 }, { 6, 425, 2048 }, { 6, 426, 2048 }, { 7, 427, 2048 }, { 6, 428, 2048 }, { 7, 429, 2048 }, { 7, 430, 2048 }, { 8, 431, 2048 },
- { 5, 432, 2048 }, { 6, 433, 2048 }, { 6, 434, 2048 }, { 7, 435, 2048 }, { 6, 436, 2048 }, { 7, 437, 2048 }, { 7, 438, 2048 }, { 8, 439, 2048 },
- { 6, 440, 2048 }, { 7, 441, 2048 }, { 7, 442, 2048 }, { 8, 443, 2048 }, { 7, 444, 2048 }, { 8, 445, 2048 }, { 8, 446, 2048 }, { 9, 447, 2048 },
- { 4, 448, 2048 }, { 5, 449, 2048 }, { 5, 450, 2048 }, { 6, 451, 2048 }, { 5, 452, 2048 }, { 6, 453, 2048 }, { 6, 454, 2048 }, { 7, 455, 2048 },
- { 5, 456, 2048 }, { 6, 457, 2048 }, { 6, 458, 2048 }, { 7, 459, 2048 }, { 6, 460, 2048 }, { 7, 461, 2048 }, { 7, 462, 2048 }, { 8, 463, 2048 },
- { 5, 464, 2048 }, { 6, 465, 2048 }, { 6, 466, 2048 }, { 7, 467, 2048 }, { 6, 468, 2048 }, { 7, 469, 2048 }, { 7, 470, 2048 }, { 8, 471, 2048 },
- { 6, 472, 2048 }, { 7, 473, 2048 }, { 7, 474, 2048 }, { 8, 475, 2048 }, { 7, 476, 2048 }, { 8, 477, 2048 }, { 8, 478, 2048 }, { 9, 479, 2048 },
- { 5, 480, 2048 }, { 6, 481, 2048 }, { 6, 482, 2048 }, { 7, 483, 2048 }, { 6, 484, 2048 }, { 7, 485, 2048 }, { 7, 486, 2048 }, { 8, 487, 2048 },
- { 6, 488, 2048 }, { 7, 489, 2048 }, { 7, 490, 2048 }, { 8, 491, 2048 }, { 7, 492, 2048 }, { 8, 493, 2048 }, { 8, 494, 2048 }, { 9, 495, 2048 },
- { 6, 496, 2048 }, { 7, 497, 2048 }, { 7, 498, 2048 }, { 8, 499, 2048 }, { 7, 500, 2048 }, { 8, 501, 2048 }, { 8, 502, 2048 }, { 9, 503, 2048 },
- { 7, 504, 2048 }, { 8, 505, 2048 }, { 8, 506, 2048 }, { 9, 507, 2048 }, { 8, 508, 2048 }, { 9, 509, 2048 }, { 9, 510, 2048 }, { 10, 511, 2048 },
- { 2, 512, 2048 }, { 3, 513, 2048 }, { 3, 514, 2048 }, { 4, 515, 2048 }, { 3, 516, 2048 }, { 4, 517, 2048 }, { 4, 518, 2048 }, { 5, 519, 2048 },
- { 3, 520, 2048 }, { 4, 521, 2048 }, { 4, 522, 2048 }, { 5, 523, 2048 }, { 4, 524, 2048 }, { 5, 525, 2048 }, { 5, 526, 2048 }, { 6, 527, 2048 },
- { 3, 528, 2048 }, { 4, 529, 2048 }, { 4, 530, 2048 }, { 5, 531, 2048 }, { 4, 532, 2048 }, { 5, 533, 2048 }, { 5, 534, 2048 }, { 6, 535, 2048 },
- { 4, 536, 2048 }, { 5, 537, 2048 }, { 5, 538, 2048 }, { 6, 539, 2048 }, { 5, 540, 2048 }, { 6, 541, 2048 }, { 6, 542, 2048 }, { 7, 543, 2048 },
- { 3, 544, 2048 }, { 4, 545, 2048 }, { 4, 546, 2048 }, { 5, 547, 2048 }, { 4, 548, 2048 }, { 5, 549, 2048 }, { 5, 550, 2048 }, { 6, 551, 2048 },
- { 4, 552, 2048 }, { 5, 553, 2048 }, { 5, 554, 2048 }, { 6, 555, 2048 }, { 5, 556, 2048 }, { 6, 557, 2048 }, { 6, 558, 2048 }, { 7, 559, 2048 },
- { 4, 560, 2048 }, { 5, 561, 2048 }, { 5, 562, 2048 }, { 6, 563, 2048 }, { 5, 564, 2048 }, { 6, 565, 2048 }, { 6, 566, 2048 }, { 7, 567, 2048 },
- { 5, 568, 2048 }, { 6, 569, 2048 }, { 6, 570, 2048 }, { 7, 571, 2048 }, { 6, 572, 2048 }, { 7, 573, 2048 }, { 7, 574, 2048 }, { 8, 575, 2048 },
- { 3, 576, 2048 }, { 4, 577, 2048 }, { 4, 578, 2048 }, { 5, 579, 2048 }, { 4, 580, 2048 }, { 5, 581, 2048 }, { 5, 582, 2048 }, { 6, 583, 2048 },
- { 4, 584, 2048 }, { 5, 585, 2048 }, { 5, 586, 2048 }, { 6, 587, 2048 }, { 5, 588, 2048 }, { 6, 589, 2048 }, { 6, 590, 2048 }, { 7, 591, 2048 },
- { 4, 592, 2048 }, { 5, 593, 2048 }, { 5, 594, 2048 }, { 6, 595, 2048 }, { 5, 596, 2048 }, { 6, 597, 2048 }, { 6, 598, 2048 }, { 7, 599, 2048 },
- { 5, 600, 2048 }, { 6, 601, 2048 }, { 6, 602, 2048 }, { 7, 603, 2048 }, { 6, 604, 2048 }, { 7, 605, 2048 }, { 7, 606, 2048 }, { 8, 607, 2048 },
- { 4, 608, 2048 }, { 5, 609, 2048 }, { 5, 610, 2048 }, { 6, 611, 2048 }, { 5, 612, 2048 }, { 6, 613, 2048 }, { 6, 614, 2048 }, { 7, 615, 2048 },
- { 5, 616, 2048 }, { 6, 617, 2048 }, { 6, 618, 2048 }, { 7, 619, 2048 }, { 6, 620, 2048 }, { 7, 621, 2048 }, { 7, 622, 2048 }, { 8, 623, 2048 },
- { 5, 624, 2048 }, { 6, 625, 2048 }, { 6, 626, 2048 }, { 7, 627, 2048 }, { 6, 628, 2048 }, { 7, 629, 2048 }, { 7, 630, 2048 }, { 8, 631, 2048 },
- { 6, 632, 2048 }, { 7, 633, 2048 }, { 7, 634, 2048 }, { 8, 635, 2048 }, { 7, 636, 2048 }, { 8, 637, 2048 }, { 8, 638, 2048 }, { 9, 639, 2048 },
- { 3, 640, 2048 }, { 4, 641, 2048 }, { 4, 642, 2048 }, { 5, 643, 2048 }, { 4, 644, 2048 }, { 5, 645, 2048 }, { 5, 646, 2048 }, { 6, 647, 2048 },
- { 4, 648, 2048 }, { 5, 649, 2048 }, { 5, 650, 2048 }, { 6, 651, 2048 }, { 5, 652, 2048 }, { 6, 653, 2048 }, { 6, 654, 2048 }, { 7, 655, 2048 },
- { 4, 656, 2048 }, { 5, 657, 2048 }, { 5, 658, 2048 }, { 6, 659, 2048 }, { 5, 660, 2048 }, { 6, 661, 2048 }, { 6, 662, 2048 }, { 7, 663, 2048 },
- { 5, 664, 2048 }, { 6, 665, 2048 }, { 6, 666, 2048 }, { 7, 667, 2048 }, { 6, 668, 2048 }, { 7, 669, 2048 }, { 7, 670, 2048 }, { 8, 671, 2048 },
- { 4, 672, 2048 }, { 5, 673, 2048 }, { 5, 674, 2048 }, { 6, 675, 2048 }, { 5, 676, 2048 }, { 6, 677, 2048 }, { 6, 678, 2048 }, { 7, 679, 2048 },
- { 5, 680, 2048 }, { 6, 681, 2048 }, { 6, 682, 2048 }, { 7, 683, 2048 }, { 6, 684, 2048 }, { 7, 685, 2048 }, { 7, 686, 2048 }, { 8, 687, 2048 },
- { 5, 688, 2048 }, { 6, 689, 2048 }, { 6, 690, 2048 }, { 7, 691, 2048 }, { 6, 692, 2048 }, { 7, 693, 2048 }, { 7, 694, 2048 }, { 8, 695, 2048 },
- { 6, 696, 2048 }, { 7, 697, 2048 }, { 7, 698, 2048 }, { 8, 699, 2048 }, { 7, 700, 2048 }, { 8, 701, 2048 }, { 8, 702, 2048 }, { 9, 703, 2048 },
- { 4, 704, 2048 }, { 5, 705, 2048 }, { 5, 706, 2048 }, { 6, 707, 2048 }, { 5, 708, 2048 }, { 6, 709, 2048 }, { 6, 710, 2048 }, { 7, 711, 2048 },
- { 5, 712, 2048 }, { 6, 713, 2048 }, { 6, 714, 2048 }, { 7, 715, 2048 }, { 6, 716, 2048 }, { 7, 717, 2048 }, { 7, 718, 2048 }, { 8, 719, 2048 },
- { 5, 720, 2048 }, { 6, 721, 2048 }, { 6, 722, 2048 }, { 7, 723, 2048 }, { 6, 724, 2048 }, { 7, 725, 2048 }, { 7, 726, 2048 }, { 8, 727, 2048 },
- { 6, 728, 2048 }, { 7, 729, 2048 }, { 7, 730, 2048 }, { 8, 731, 2048 }, { 7, 732, 2048 }, { 8, 733, 2048 }, { 8, 734, 2048 }, { 9, 735, 2048 },
- { 5, 736, 2048 }, { 6, 737, 2048 }, { 6, 738, 2048 }, { 7, 739, 2048 }, { 6, 740, 2048 }, { 7, 741, 2048 }, { 7, 742, 2048 }, { 8, 743, 2048 },
- { 6, 744, 2048 }, { 7, 745, 2048 }, { 7, 746, 2048 }, { 8, 747, 2048 }, { 7, 748, 2048 }, { 8, 749, 2048 }, { 8, 750, 2048 }, { 9, 751, 2048 },
- { 6, 752, 2048 }, { 7, 753, 2048 }, { 7, 754, 2048 }, { 8, 755, 2048 }, { 7, 756, 2048 }, { 8, 757, 2048 }, { 8, 758, 2048 }, { 9, 759, 2048 },
- { 7, 760, 2048 }, { 8, 761, 2048 }, { 8, 762, 2048 }, { 9, 763, 2048 }, { 8, 764, 2048 }, { 9, 765, 2048 }, { 9, 766, 2048 }, { 10, 767, 2048 },
- { 3, 768, 2048 }, { 4, 769, 2048 }, { 4, 770, 2048 }, { 5, 771, 2048 }, { 4, 772, 2048 }, { 5, 773, 2048 }, { 5, 774, 2048 }, { 6, 775, 2048 },
- { 4, 776, 2048 }, { 5, 777, 2048 }, { 5, 778, 2048 }, { 6, 779, 2048 }, { 5, 780, 2048 }, { 6, 781, 2048 }, { 6, 782, 2048 }, { 7, 783, 2048 },
- { 4, 784, 2048 }, { 5, 785, 2048 }, { 5, 786, 2048 }, { 6, 787, 2048 }, { 5, 788, 2048 }, { 6, 789, 2048 }, { 6, 790, 2048 }, { 7, 791, 2048 },
- { 5, 792, 2048 }, { 6, 793, 2048 }, { 6, 794, 2048 }, { 7, 795, 2048 }, { 6, 796, 2048 }, { 7, 797, 2048 }, { 7, 798, 2048 }, { 8, 799, 2048 },
- { 4, 800, 2048 }, { 5, 801, 2048 }, { 5, 802, 2048 }, { 6, 803, 2048 }, { 5, 804, 2048 }, { 6, 805, 2048 }, { 6, 806, 2048 }, { 7, 807, 2048 },
- { 5, 808, 2048 }, { 6, 809, 2048 }, { 6, 810, 2048 }, { 7, 811, 2048 }, { 6, 812, 2048 }, { 7, 813, 2048 }, { 7, 814, 2048 }, { 8, 815, 2048 },
- { 5, 816, 2048 }, { 6, 817, 2048 }, { 6, 818, 2048 }, { 7, 819, 2048 }, { 6, 820, 2048 }, { 7, 821, 2048 }, { 7, 822, 2048 }, { 8, 823, 2048 },
- { 6, 824, 2048 }, { 7, 825, 2048 }, { 7, 826, 2048 }, { 8, 827, 2048 }, { 7, 828, 2048 }, { 8, 829, 2048 }, { 8, 830, 2048 }, { 9, 831, 2048 },
- { 4, 832, 2048 }, { 5, 833, 2048 }, { 5, 834, 2048 }, { 6, 835, 2048 }, { 5, 836, 2048 }, { 6, 837, 2048 }, { 6, 838, 2048 }, { 7, 839, 2048 },
- { 5, 840, 2048 }, { 6, 841, 2048 }, { 6, 842, 2048 }, { 7, 843, 2048 }, { 6, 844, 2048 }, { 7, 845, 2048 }, { 7, 846, 2048 }, { 8, 847, 2048 },
- { 5, 848, 2048 }, { 6, 849, 2048 }, { 6, 850, 2048 }, { 7, 851, 2048 }, { 6, 852, 2048 }, { 7, 853, 2048 }, { 7, 854, 2048 }, { 8, 855, 2048 },
- { 6, 856, 2048 }, { 7, 857, 2048 }, { 7, 858, 2048 }, { 8, 859, 2048 }, { 7, 860, 2048 }, { 8, 861, 2048 }, { 8, 862, 2048 }, { 9, 863, 2048 },
- { 5, 864, 2048 }, { 6, 865, 2048 }, { 6, 866, 2048 }, { 7, 867, 2048 }, { 6, 868, 2048 }, { 7, 869, 2048 }, { 7, 870, 2048 }, { 8, 871, 2048 },
- { 6, 872, 2048 }, { 7, 873, 2048 }, { 7, 874, 2048 }, { 8, 875, 2048 }, { 7, 876, 2048 }, { 8, 877, 2048 }, { 8, 878, 2048 }, { 9, 879, 2048 },
- { 6, 880, 2048 }, { 7, 881, 2048 }, { 7, 882, 2048 }, { 8, 883, 2048 }, { 7, 884, 2048 }, { 8, 885, 2048 }, { 8, 886, 2048 }, { 9, 887, 2048 },
- { 7, 888, 2048 }, { 8, 889, 2048 }, { 8, 890, 2048 }, { 9, 891, 2048 }, { 8, 892, 2048 }, { 9, 893, 2048 }, { 9, 894, 2048 }, { 10, 895, 2048 },
- { 4, 896, 2048 }, { 5, 897, 2048 }, { 5, 898, 2048 }, { 6, 899, 2048 }, { 5, 900, 2048 }, { 6, 901, 2048 }, { 6, 902, 2048 }, { 7, 903, 2048 },
- { 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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- { 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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- { 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)
-{
- unsigned x;
- int 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 < (1U<<FP_LUT); x++) {
- wc_ecc_del_point(fp_cache[z].LUT[x]);
- fp_cache[z].LUT[x] = NULL;
- }
- fp_cache[z].lru_count = 0;
- }
- return z;
-}
-
-/* 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 GEN_MEM_ERR;
- }
-
- /* 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 GEN_MEM_ERR;
- }
-
- 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 GEN_MEM_ERR;
- }
- }
-
- fp_cache[idx].lru_count = 0;
-
- return MP_OKAY;
-}
-#endif
-
-#ifndef 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;
- mp_int tmp;
-
- if (mp_init(&tmp) != MP_OKAY)
- return GEN_MEM_ERR;
-
- /* 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;
- }
- else {
- /* get bitlen and round up to next multiple of FP_LUT */
- bitlen = 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);
- }
-
- /* copy base */
- if (err == MP_OKAY) {
- 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;
- }
- }
-
- /* make all single bit entries */
- for (x = 1; x < FP_LUT; x++) {
- if (err != MP_OKAY)
- break;
- if ((mp_copy(fp_cache[idx].LUT[1<<(x-1)]->x,
- fp_cache[idx].LUT[1<<x]->x) != MP_OKAY) ||
- (mp_copy(fp_cache[idx].LUT[1<<(x-1)]->y,
- fp_cache[idx].LUT[1<<x]->y) != MP_OKAY) ||
- (mp_copy(fp_cache[idx].LUT[1<<(x-1)]->z,
- fp_cache[idx].LUT[1<<x]->z) != MP_OKAY)){
- err = MP_INIT_E;
- break;
- } else {
-
- /* now double it bitlen/FP_LUT times */
- for (y = 0; y < lut_gap; y++) {
- if ((err = ecc_projective_dbl_point(fp_cache[idx].LUT[1<<x],
- fp_cache[idx].LUT[1<<x], a, modulus, mp)) != MP_OKAY) {
- break;
- }
- }
- }
- }
-
- /* now make all entries in increase order of hamming weight */
- for (x = 2; x <= FP_LUT; x++) {
- if (err != MP_OKAY)
- break;
- 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(
- fp_cache[idx].LUT[lut_orders[y].terma],
- fp_cache[idx].LUT[lut_orders[y].termb],
- fp_cache[idx].LUT[y], a, modulus, mp)) != MP_OKAY) {
- break;
- }
- }
- }
-
- /* 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);
- }
-
- mp_clear(&tmp);
-
- if (err == MP_OKAY)
- 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].lru_count = 0;
- mp_clear(&fp_cache[idx].mu);
-
- return err;
-}
-
-/* perform a fixed point ECC mulmod */
-static int accel_fp_mul(int idx, mp_int* k, ecc_point *R, mp_int* a,
- mp_int* modulus, mp_digit mp, int map)
-{
-#define KB_SIZE 128
-
-#ifdef WOLFSSL_SMALL_STACK
- unsigned char* kb = NULL;
-#else
- unsigned char kb[KB_SIZE];
-#endif
- int x, err;
- unsigned y, z = 0, bitlen, bitpos, lut_gap, first;
- mp_int tk, order;
-
- if (mp_init_multi(&tk, &order, NULL, NULL, NULL, NULL) != MP_OKAY)
- return MP_INIT_E;
-
- /* if it's smaller than modulus we fine */
- if (mp_unsigned_bin_size(k) > mp_unsigned_bin_size(modulus)) {
- /* find order */
- y = 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(k, &order) != MP_LT) {
- if ((err = mp_mod(k, &order, &tk)) != MP_OKAY) {
- goto done;
- }
- } else {
- if ((err = mp_copy(k, &tk)) != MP_OKAY) {
- goto done;
- }
- }
- } else {
- if ((err = mp_copy(k, &tk)) != MP_OKAY) {
- goto done;
- }
- }
-
- /* get bitlen and round up to next multiple of FP_LUT */
- bitlen = mp_unsigned_bin_size(modulus) << 3;
- x = bitlen % FP_LUT;
- if (x) {
- bitlen += FP_LUT - 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) {
- /* let's reverse kb so it's little endian */
- x = 0;
- y = 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 = 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 = x;
- for (y = z = 0; y < FP_LUT; y++) {
- z |= ((kb[bitpos>>3] >> (bitpos&7)) & 1) << 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(R, R, a, modulus,
- mp)) != MP_OKAY) {
- break;
- }
- }
-
- /* add if not first, otherwise copy */
- if (!first && z) {
- if ((err = ecc_projective_add_point(R, fp_cache[idx].LUT[z], R,
- a, modulus, mp)) != 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 = GEN_MEM_ERR;
- 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);
- mp_clear(&tk);
-
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(kb, NULL, DYNAMIC_TYPE_ECC_BUFFER);
-#endif
-
-#undef KB_SIZE
-
- return err;
-}
-#endif
-
-#ifdef ECC_SHAMIR
-#ifndef 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};
-#else
- unsigned char kb[2][KB_SIZE];
-#endif
- int x, err;
- unsigned y, z, bitlen, bitpos, lut_gap, first, zA, zB;
- mp_int tka, tkb, order;
-
- if (mp_init_multi(&tka, &tkb, &order, NULL, NULL, NULL) != MP_OKAY)
- return MP_INIT_E;
-
- /* if it's smaller than modulus we fine */
- if (mp_unsigned_bin_size(kA) > mp_unsigned_bin_size(modulus)) {
- /* find order */
- y = 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;
- }
- }
-
- /* if it's smaller than modulus we fine */
- if (mp_unsigned_bin_size(kB) > mp_unsigned_bin_size(modulus)) {
- /* find order */
- y = 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;
- }
- }
-
- /* get bitlen and round up to next multiple of FP_LUT */
- bitlen = mp_unsigned_bin_size(modulus) << 3;
- x = bitlen % FP_LUT;
- if (x) {
- bitlen += FP_LUT - 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;
- }
-
- /* let's reverse kb so it's little endian */
- x = 0;
- y = 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);
- if ((err = mp_to_unsigned_bin(&tkb, kb[1])) == MP_OKAY) {
- x = 0;
- y = 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 = 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 = x;
- for (y = zA = zB = 0; y < FP_LUT; y++) {
- zA |= ((kb[0][bitpos>>3] >> (bitpos&7)) & 1) << y;
- zB |= ((kb[1][bitpos>>3] >> (bitpos&7)) & 1) << 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(R, R, a, modulus,
- mp)) != MP_OKAY) {
- break;
- }
- }
-
- /* add if not first, otherwise copy */
- if (!first) {
- if (zA) {
- if ((err = ecc_projective_add_point(R, fp_cache[idx1].LUT[zA],
- R, a, modulus, mp)) != MP_OKAY) {
- break;
- }
- }
- if (zB) {
- if ((err = ecc_projective_add_point(R, fp_cache[idx2].LUT[zB],
- R, a, modulus, mp)) != 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 = GEN_MEM_ERR;
- break;
- }
- first = 0;
- }
- if (zB && first == 0) {
- if (zB) {
- if ((err = ecc_projective_add_point(R,
- fp_cache[idx2].LUT[zB], R, a, modulus, mp)) != 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 = GEN_MEM_ERR;
- break;
- }
- first = 0;
- }
- }
- }
- }
-
-done:
- /* cleanup */
- mp_clear(&tkb);
- mp_clear(&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[0], NULL, DYNAMIC_TYPE_ECC_BUFFER);
- XFREE(kb[1], NULL, DYNAMIC_TYPE_ECC_BUFFER);
-#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 = MP_OKAY, mpInit = 0;
- mp_digit mp;
- mp_int mu;
-
- err = mp_init(&mu);
- if (err != MP_OKAY)
- return err;
-
-#ifndef HAVE_THREAD_LS
- if (initMutex == 0) {
- wc_InitMutex(&ecc_fp_lock);
- initMutex = 1;
- }
- if (wc_LockMutex(&ecc_fp_lock) != 0)
- return BAD_MUTEX_E;
-#endif /* HAVE_THREAD_LS */
-
- /* 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);
-
- if (err == MP_OKAY) {
- /* 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 build the LUT, if it's higher just use the LUT */
- if (idx1 >= 0 && fp_cache[idx1].lru_count == 2) {
- /* 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 build the LUT, if it's higher just use the LUT */
- if (idx2 >= 0 && fp_cache[idx2].lru_count == 2) {
- 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].lru_count >= 2 &&
- fp_cache[idx2].lru_count >= 2) {
- 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);
- }
- }
-
-#ifndef HAVE_THREAD_LS
- wc_UnLockMutex(&ecc_fp_lock);
-#endif /* HAVE_THREAD_LS */
- mp_clear(&mu);
-
- 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 co-ordinates,
- otherwise it's left in jacobian-montgomery form
- return MP_OKAY if successful
-*/
-int wc_ecc_mulmod_ex(mp_int* k, ecc_point *G, ecc_point *R, mp_int* a,
- mp_int* modulus, int map, void* heap)
-{
-#ifndef WOLFSSL_SP_MATH
- int idx, err = MP_OKAY;
- mp_digit mp;
- mp_int mu;
- int mpSetup = 0;
-
- if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- if (mp_init(&mu) != MP_OKAY)
- return MP_INIT_E;
-
-#ifndef HAVE_THREAD_LS
- if (initMutex == 0) {
- wc_InitMutex(&ecc_fp_lock);
- initMutex = 1;
- }
-
- if (wc_LockMutex(&ecc_fp_lock) != 0)
- return BAD_MUTEX_E;
-#endif /* HAVE_THREAD_LS */
-
- /* 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) {
- /* 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].lru_count >= 2) {
- 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, map, heap);
- }
- }
-
-#ifndef HAVE_THREAD_LS
- wc_UnLockMutex(&ecc_fp_lock);
-#endif /* HAVE_THREAD_LS */
- mp_clear(&mu);
-
- return err;
-#else
- if (k == NULL || G == NULL || R == NULL || a == NULL || modulus == NULL) {
- return ECC_BAD_ARG_E;
- }
-
- return sp_ecc_mulmod_256(k, G, R, map, heap);
-#endif
-}
-
-#ifndef 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].lru_count = 0;
- fp_cache[x].lock = 0;
- }
- }
-}
-#endif
-
-/** Free the Fixed Point cache */
-void wc_ecc_fp_free(void)
-{
-#ifndef WOLFSSL_SP_MATH
-#ifndef HAVE_THREAD_LS
- if (initMutex == 0) {
- wc_InitMutex(&ecc_fp_lock);
- initMutex = 1;
- }
-
- 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);
- wc_FreeMutex(&ecc_fp_lock);
- initMutex = 0;
- }
-#endif /* HAVE_THREAD_LS */
-#endif
-}
-
-
-#endif /* FP_ECC */
-
-#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 */
-};
-
-
-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 = 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, halfSz);
- XMEMCPY(ctx->clientSalt + halfSz, ctx->serverSalt, halfSz);
- XMEMCPY(ctx->serverSalt, tmp, 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;
-}
-
-
-static int ecc_ctx_set_salt(ecEncCtx* ctx, int flags, WC_RNG* rng)
-{
- byte* saltBuffer = NULL;
-
- if (ctx == NULL || rng == NULL || flags == 0)
- return BAD_FUNC_ARG;
-
- saltBuffer = (flags == REQ_RESP_CLIENT) ? ctx->clientSalt : ctx->serverSalt;
-
- return wc_RNG_GenerateBlock(rng, saltBuffer, EXCHANGE_SALT_SZ);
-}
-
-
-static void ecc_ctx_init(ecEncCtx* ctx, int flags)
-{
- if (ctx) {
- XMEMSET(ctx, 0, sizeof(ecEncCtx));
-
- ctx->encAlgo = ecAES_128_CBC;
- ctx->kdfAlgo = ecHKDF_SHA256;
- ctx->macAlgo = ecHMAC_SHA256;
- ctx->protocol = (byte)flags;
-
- 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 */
-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);
- return ecc_ctx_set_salt(ctx, ctx->protocol, rng);
-}
-
-
-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 */
-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 */
-void wc_ecc_ctx_free(ecEncCtx* ctx)
-{
- if (ctx) {
- ForceZero(ctx, sizeof(ecEncCtx));
- XFREE(ctx, ctx->heap, DYNAMIC_TYPE_ECC);
- }
-}
-
-
-static int ecc_get_key_sizes(ecEncCtx* ctx, int* encKeySz, int* ivSz,
- int* keysLen, word32* digestSz, word32* blockSz)
-{
- if (ctx) {
- switch (ctx->encAlgo) {
- case ecAES_128_CBC:
- *encKeySz = KEY_SIZE_128;
- *ivSz = IV_SIZE_128;
- *blockSz = AES_BLOCK_SIZE;
- break;
- 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;
-
- *keysLen = *encKeySz + *ivSz + *digestSz;
-
- 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(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
- word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx)
-{
- int ret = 0;
- word32 blockSz;
- word32 digestSz;
- ecEncCtx localCtx;
-#ifdef WOLFSSL_SMALL_STACK
- byte* sharedSecret;
- byte* keys;
-#else
- byte sharedSecret[ECC_MAXSIZE]; /* 521 max size */
- byte keys[ECC_BUFSIZE]; /* max size */
-#endif
- word32 sharedSz = ECC_MAXSIZE;
- int keysLen;
- int encKeySz;
- int ivSz;
- int offset = 0; /* keys offset if doing msg exchange */
- byte* encKey;
- byte* encIv;
- byte* macKey;
-
- 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);
- ctx = &localCtx;
- }
-
- ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
- &blockSz);
- if (ret != 0)
- return ret;
-
- 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;
-
- if (*outSz < (msgSz + digestSz))
- return BUFFER_E;
-
-#ifdef WOLFSSL_SMALL_STACK
- sharedSecret = (byte*)XMALLOC(ECC_MAXSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- if (sharedSecret == NULL)
- return MEMORY_E;
-
- keys = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- if (keys == NULL) {
- XFREE(sharedSecret, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- return MEMORY_E;
- }
-#endif
-
- do {
- #if defined(WOLFSSL_ASYNC_CRYPT)
- ret = wc_AsyncWait(ret, &privKey->asyncDev, WC_ASYNC_FLAG_CALL_AGAIN);
- if (ret != 0)
- break;
- #endif
- ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz);
- } while (ret == WC_PENDING_E);
- if (ret == 0) {
- switch (ctx->kdfAlgo) {
- case ecHKDF_SHA256 :
- ret = wc_HKDF(WC_SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
- ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
- keys, keysLen);
- break;
-
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0) {
- encKey = keys + offset;
- encIv = encKey + encKeySz;
- macKey = encKey + encKeySz + ivSz;
-
- switch (ctx->encAlgo) {
- case ecAES_128_CBC:
- {
- Aes aes;
- ret = wc_AesSetKey(&aes, encKey, KEY_SIZE_128, encIv,
- AES_ENCRYPTION);
- if (ret != 0)
- break;
- ret = wc_AesCbcEncrypt(&aes, out, msg, msgSz);
- #if defined(WOLFSSL_ASYNC_CRYPT)
- ret = wc_AsyncWait(ret, &aes.asyncDev, WC_ASYNC_FLAG_NONE);
- #endif
- }
- break;
-
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0) {
- switch (ctx->macAlgo) {
- case ecHMAC_SHA256:
- {
- Hmac hmac;
- ret = wc_HmacInit(&hmac, NULL, INVALID_DEVID);
- if (ret == 0) {
- ret = wc_HmacSetKey(&hmac, WC_SHA256, macKey, WC_SHA256_DIGEST_SIZE);
- if (ret == 0)
- ret = wc_HmacUpdate(&hmac, out, msgSz);
- if (ret == 0)
- ret = wc_HmacUpdate(&hmac, ctx->macSalt, ctx->macSaltSz);
- if (ret == 0)
- ret = wc_HmacFinal(&hmac, out+msgSz);
- wc_HmacFree(&hmac);
- }
- }
- break;
-
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0)
- *outSz = msgSz + digestSz;
-
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(sharedSecret, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- XFREE(keys, NULL, DYNAMIC_TYPE_ECC_BUFFER);
-#endif
-
- return ret;
-}
-
-
-/* ecc decrypt with shared secret run through kdf
- ctx holds non default algos and inputs
- return 0 on success */
-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;
- word32 digestSz;
- ecEncCtx localCtx;
-#ifdef WOLFSSL_SMALL_STACK
- byte* sharedSecret;
- byte* keys;
-#else
- byte sharedSecret[ECC_MAXSIZE]; /* 521 max size */
- byte keys[ECC_BUFSIZE]; /* max size */
-#endif
- word32 sharedSz = ECC_MAXSIZE;
- int keysLen;
- int encKeySz;
- int ivSz;
- int offset = 0; /* in case using msg exchange */
- byte* encKey;
- byte* encIv;
- byte* macKey;
-
- 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);
- ctx = &localCtx;
- }
-
- ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
- &blockSz);
- if (ret != 0)
- return ret;
-
- 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;
-
- if ( ((msgSz-digestSz) % blockSz) != 0)
- return BAD_PADDING_E;
-
- if (*outSz < (msgSz - digestSz))
- return BUFFER_E;
-
-#ifdef WOLFSSL_SMALL_STACK
- sharedSecret = (byte*)XMALLOC(ECC_MAXSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- if (sharedSecret == NULL)
- return MEMORY_E;
-
- keys = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- if (keys == NULL) {
- XFREE(sharedSecret, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- return MEMORY_E;
- }
-#endif
-
- do {
- #if defined(WOLFSSL_ASYNC_CRYPT)
- ret = wc_AsyncWait(ret, &privKey->asyncDev, WC_ASYNC_FLAG_CALL_AGAIN);
- if (ret != 0)
- break;
- #endif
- ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz);
- } while (ret == WC_PENDING_E);
- if (ret == 0) {
- switch (ctx->kdfAlgo) {
- case ecHKDF_SHA256 :
- ret = wc_HKDF(WC_SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
- ctx->kdfSaltSz, ctx->kdfInfo, ctx->kdfInfoSz,
- keys, keysLen);
- break;
-
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0) {
- encKey = keys + offset;
- encIv = encKey + encKeySz;
- macKey = encKey + encKeySz + ivSz;
-
- switch (ctx->macAlgo) {
- case ecHMAC_SHA256:
- {
- byte verify[WC_SHA256_DIGEST_SIZE];
- Hmac hmac;
-
- ret = wc_HmacInit(&hmac, NULL, INVALID_DEVID);
- if (ret == 0) {
- ret = wc_HmacSetKey(&hmac, WC_SHA256, macKey, WC_SHA256_DIGEST_SIZE);
- if (ret == 0)
- ret = wc_HmacUpdate(&hmac, msg, msgSz-digestSz);
- if (ret == 0)
- ret = wc_HmacUpdate(&hmac, ctx->macSalt, ctx->macSaltSz);
- if (ret == 0)
- ret = wc_HmacFinal(&hmac, verify);
- if (ret == 0) {
- if (XMEMCMP(verify, msg + msgSz - digestSz, digestSz) != 0)
- ret = -1;
- }
-
- wc_HmacFree(&hmac);
- }
- break;
- }
-
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0) {
- switch (ctx->encAlgo) {
- #ifdef HAVE_AES_CBC
- case ecAES_128_CBC:
- {
- Aes aes;
- ret = wc_AesSetKey(&aes, encKey, KEY_SIZE_128, encIv,
- AES_DECRYPTION);
- if (ret != 0)
- break;
- ret = wc_AesCbcDecrypt(&aes, out, msg, msgSz-digestSz);
- #if defined(WOLFSSL_ASYNC_CRYPT)
- ret = wc_AsyncWait(ret, &aes.asyncDev, WC_ASYNC_FLAG_NONE);
- #endif
- }
- break;
- #endif
- default:
- ret = BAD_FUNC_ARG;
- break;
- }
- }
-
- if (ret == 0)
- *outSz = msgSz - digestSz;
-
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(sharedSecret, NULL, DYNAMIC_TYPE_ECC_BUFFER);
- XFREE(keys, NULL, DYNAMIC_TYPE_ECC_BUFFER);
-#endif
-
- return ret;
-}
-
-
-#endif /* HAVE_ECC_ENCRYPT */
-
-
-#ifdef HAVE_COMP_KEY
-#ifndef WOLFSSL_ATECC508A
-
-#ifndef WOLFSSL_SP_MATH
-int do_mp_jacobi(mp_int* a, mp_int* n, int* c);
-
-int do_mp_jacobi(mp_int* a, mp_int* n, int* c)
-{
- int k, s, res;
- int r = 0; /* initialize to help static analysis out */
- mp_digit residue;
-
- /* if a < 0 return MP_VAL */
- if (mp_isneg(a) == MP_YES) {
- return MP_VAL;
- }
-
- /* if n <= 0 return MP_VAL */
- if (mp_cmp_d(n, 0) != MP_GT) {
- return MP_VAL;
- }
-
- /* step 1. handle case of a == 0 */
- if (mp_iszero (a) == MP_YES) {
- /* special case of a == 0 and n == 1 */
- if (mp_cmp_d (n, 1) == MP_EQ) {
- *c = 1;
- } else {
- *c = 0;
- }
- return MP_OKAY;
- }
-
- /* step 2. if a == 1, return 1 */
- if (mp_cmp_d (a, 1) == MP_EQ) {
- *c = 1;
- return MP_OKAY;
- }
-
- /* default */
- s = 0;
-
- /* divide out larger power of two */
- k = mp_cnt_lsb(a);
- res = mp_div_2d(a, k, a, NULL);
-
- if (res == MP_OKAY) {
- /* step 4. if e is even set s=1 */
- if ((k & 1) == 0) {
- s = 1;
- } else {
- /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */
- residue = n->dp[0] & 7;
-
- if (residue == 1 || residue == 7) {
- s = 1;
- } else if (residue == 3 || residue == 5) {
- s = -1;
- }
- }
-
- /* step 5. if p == 3 (mod 4) *and* a == 3 (mod 4) then s = -s */
- if ( ((n->dp[0] & 3) == 3) && ((a->dp[0] & 3) == 3)) {
- s = -s;
- }
- }
-
- if (res == MP_OKAY) {
- /* if a == 1 we're done */
- if (mp_cmp_d(a, 1) == MP_EQ) {
- *c = s;
- } else {
- /* n1 = n mod a */
- res = mp_mod (n, a, n);
- if (res == MP_OKAY)
- res = do_mp_jacobi(n, a, &r);
-
- if (res == MP_OKAY)
- *c = s * r;
- }
- }
-
- return res;
-}
-
-
-/* computes the jacobi c = (a | n) (or Legendre if n is prime)
- * HAC pp. 73 Algorithm 2.149
- * HAC is wrong here, as the special case of (0 | 1) is not
- * handled correctly.
- */
-int mp_jacobi(mp_int* a, mp_int* n, int* c)
-{
- mp_int a1, n1;
- int res;
-
- /* step 3. write a = a1 * 2**k */
- if ((res = mp_init_multi(&a1, &n1, NULL, NULL, NULL, NULL)) != MP_OKAY) {
- return res;
- }
-
- if ((res = mp_copy(a, &a1)) != MP_OKAY) {
- goto done;
- }
-
- if ((res = mp_copy(n, &n1)) != MP_OKAY) {
- goto done;
- }
-
- res = do_mp_jacobi(&a1, &n1, c);
-
-done:
- /* cleanup */
- mp_clear(&n1);
- mp_clear(&a1);
-
- return res;
-}
-
-
-/* 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
- */
-int mp_sqrtmod_prime(mp_int* n, mp_int* prime, mp_int* ret)
-{
-#ifdef SQRTMOD_USE_MOD_EXP
- int res;
-
- mp_int e;
-
- res = mp_init(&e);
- if (res == MP_OKAY)
- 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);
-
- return res;
-#else
- int res, legendre, done = 0;
- mp_int t1, C, Q, S, Z, M, T, R, two;
- mp_digit i;
-
- /* 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);
- }
-
- /* prime must be odd */
- if (mp_cmp_d(prime, 2) == MP_EQ) {
- return MP_VAL;
- }
-
- /* is quadratic non-residue mod prime */
- if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) {
- return res;
- }
- if (legendre == -1) {
- return MP_VAL;
- }
-
- if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M)) != MP_OKAY)
- return res;
-
- if ((res = mp_init_multi(&T, &R, &two, NULL, NULL, NULL))
- != MP_OKAY) {
- mp_clear(&t1); mp_clear(&C); mp_clear(&Q); mp_clear(&S); mp_clear(&Z);
- mp_clear(&M);
- return res;
- }
-
- /* 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;
-
- /* Z = Z + 1 */
- if (res == MP_OKAY)
- res = mp_add_d(&Z, 1, &Z);
- }
-
- /* 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)
- 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);
- }
- }
- }
-
- /* done */
- 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(&two);
-
- return res;
-#endif
-}
-#endif
-#endif /* !WOLFSSL_ATECC508A */
-
-
-/* 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 || out == NULL || outLen == NULL)
- return BAD_FUNC_ARG;
-
- if (wc_ecc_is_valid_idx(key->idx) == 0) {
- return ECC_BAD_ARG_E;
- }
- numlen = key->dp->size;
-
- if (*outLen < (1 + numlen)) {
- *outLen = 1 + numlen;
- return BUFFER_E;
- }
-
-#ifdef WOLFSSL_ATECC508A
- /* TODO: Implement equiv call to ATECC508A */
- ret = BAD_COND_E;
-
-#else
-
- /* 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 - mp_unsigned_bin_size(key->pubkey.x)));
- *outLen = 1 + numlen;
-
-#endif /* WOLFSSL_ATECC508A */
-
- return ret;
-}
-
-#endif /* HAVE_COMP_KEY */
-
-
-int wc_ecc_get_oid(word32 oidSum, const byte** oid, word32* oidSz)
-{
- int x;
-
- if (oidSum == 0) {
- return BAD_FUNC_ARG;
- }
-
- /* find matching OID sum (based on encoded value) */
- for (x = 0; ecc_sets[x].size != 0; x++) {
- if (ecc_sets[x].oidSum == oidSum) {
- int ret = 0;
- #ifdef HAVE_OID_ENCODING
- /* check cache */
- oid_cache_t* 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;
- }
- #else
- if (oidSz) {
- *oidSz = ecc_sets[x].oidSz;
- }
- if (oid) {
- *oid = ecc_sets[x].oid;
- }
- #endif
- /* on success return curve id */
- if (ret == 0) {
- ret = ecc_sets[x].id;
- }
- return ret;
- }
- }
-
- return NOT_COMPILED_IN;
-}
-
-#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 */
-
-#ifdef HAVE_X963_KDF
-
-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, i;
- int digestSz, copySz;
- int 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;
-
- digestSz = wc_HashGetDigestSize(type);
- if (digestSz < 0)
- return digestSz;
-
-#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));
-
- for (i = 1; remaining > 0; i++) {
-
- IncrementX963KdfCounter(counter);
-
- ret = wc_HashUpdate(hash, type, secret, secretSz);
- if (ret != 0) {
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
-#endif
- return ret;
- }
-
- ret = wc_HashUpdate(hash, type, counter, sizeof(counter));
- if (ret != 0) {
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
-#endif
- return ret;
- }
-
- if (sinfo) {
- ret = wc_HashUpdate(hash, type, sinfo, sinfoSz);
- if (ret != 0) {
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
-#endif
- return ret;
- }
- }
-
- ret = wc_HashFinal(hash, type, tmp);
- if (ret != 0) {
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
-#endif
- return ret;
- }
-
- copySz = min(remaining, digestSz);
- XMEMCPY(outIdx, tmp, copySz);
-
- remaining -= copySz;
- outIdx += copySz;
- }
-
-#ifdef WOLFSSL_SMALL_STACK
- XFREE(hash, NULL, DYNAMIC_TYPE_HASHES);
-#endif
-
- return 0;
-}
-#endif /* HAVE_X963_KDF */
-
-#endif /* HAVE_ECC */
-