wolf SSL
wolfSSL SSL/TLS library, support up to TLS1.3
Dependents: CyaSSL-Twitter-OAuth4Tw Example-client-tls-cert TwitterReader TweetTest ... more
Diff: wolfcrypt/src/ecc.c
- Revision:
- 11:cee25a834751
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/wolfcrypt/src/ecc.c Tue May 30 01:44:10 2017 +0000
@@ -0,0 +1,7930 @@
+/* ecc.c
+ *
+ * Copyright (C) 2006-2016 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
+
+
+#include <wolfssl/wolfcrypt/ecc.h>
+#include <wolfssl/wolfcrypt/asn.h>
+#include <wolfssl/wolfcrypt/error-crypt.h>
+#include <wolfssl/wolfcrypt/logging.h>
+
+#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 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 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
+ static const ecc_oid_t ecc_oid_secp112r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,6
+ #else
+ 0x2B,0x81,0x04,0x00,0x06
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_SECPR2
+ static const ecc_oid_t ecc_oid_secp112r2[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,7
+ #else
+ 0x2B,0x81,0x04,0x00,0x07
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR2 */
+#endif /* ECC112 */
+#ifdef ECC128
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp128r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,28
+ #else
+ 0x2B,0x81,0x04,0x00,0x1C
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_SECPR2
+ static const ecc_oid_t ecc_oid_secp128r2[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,29
+ #else
+ 0x2B,0x81,0x04,0x00,0x1D
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR2 */
+#endif /* ECC128 */
+#ifdef ECC160
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp160r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,8
+ #else
+ 0x2B,0x81,0x04,0x00,0x08
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_SECPR2
+ static const ecc_oid_t ecc_oid_secp160r2[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,30
+ #else
+ 0x2B,0x81,0x04,0x00,0x1E
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR2 */
+ #ifdef HAVE_ECC_KOBLITZ
+ static const ecc_oid_t ecc_oid_secp160k1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,9
+ #else
+ 0x2B,0x81,0x04,0x00,0x09
+ #endif
+ };
+ #endif /* HAVE_ECC_KOBLITZ */
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp160r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,1
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x01
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC160 */
+#ifdef ECC192
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp192r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,1
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x01
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_SECPR2
+ static const ecc_oid_t ecc_oid_prime192v2[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,2
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x02
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR2 */
+ #ifdef HAVE_ECC_SECPR3
+ static const ecc_oid_t ecc_oid_prime192v3[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,3
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x03
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR3 */
+ #ifdef HAVE_ECC_KOBLITZ
+ static const ecc_oid_t ecc_oid_secp192k1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,31
+ #else
+ 0x2B,0x81,0x04,0x00,0x1F
+ #endif
+ };
+ #endif /* HAVE_ECC_KOBLITZ */
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp192r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,3
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x03
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC192 */
+#ifdef ECC224
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp224r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,33
+ #else
+ 0x2B,0x81,0x04,0x00,0x21
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_KOBLITZ
+ static const ecc_oid_t ecc_oid_secp224k1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,32
+ #else
+ 0x2B,0x81,0x04,0x00,0x20
+ #endif
+ };
+ #endif /* HAVE_ECC_KOBLITZ */
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp224r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,5
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x05
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC224 */
+#ifdef ECC239
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_prime239v1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,4
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x04
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_SECPR2
+ static const ecc_oid_t ecc_oid_prime239v2[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,5
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x05
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR2 */
+ #ifdef HAVE_ECC_SECPR3
+ static const ecc_oid_t ecc_oid_prime239v3[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,6
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x06
+ #endif
+ };
+ #endif /* HAVE_ECC_SECPR3 */
+#endif /* ECC239 */
+#ifdef ECC256
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp256r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,2,840,10045,3,1,7
+ #else
+ 0x2A,0x86,0x48,0xCE,0x3D,0x03,0x01,0x07
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_KOBLITZ
+ static const ecc_oid_t ecc_oid_secp256k1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,10
+ #else
+ 0x2B,0x81,0x04,0x00,0x0A
+ #endif
+ };
+ #endif /* HAVE_ECC_KOBLITZ */
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp256r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,7
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x07
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC256 */
+#ifdef ECC320
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp320r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,9
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x09
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC320 */
+#ifdef ECC384
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp384r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,34
+ #else
+ 0x2B,0x81,0x04,0x00,0x22
+ #endif
+ };
+ #endif /* !NO_ECC_SECP */
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp384r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,11
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x0B
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC384 */
+#ifdef ECC512
+ #ifdef HAVE_ECC_BRAINPOOL
+ static const ecc_oid_t ecc_oid_brainpoolp512r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,36,3,3,2,8,1,1,13
+ #else
+ 0x2B,0x24,0x03,0x03,0x02,0x08,0x01,0x01,0x0D
+ #endif
+ };
+ #endif /* HAVE_ECC_BRAINPOOL */
+#endif /* ECC512 */
+#ifdef ECC521
+ #ifndef NO_ECC_SECP
+ static const ecc_oid_t ecc_oid_secp521r1[] = {
+ #ifdef HAVE_OID_ENCODING
+ 1,3,132,0,35
+ #else
+ 0x2B,0x81,0x04,0x00,0x23
+ #endif
+ };
+ #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 */
+ sizeof(ecc_oid_secp112r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp112r2) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp128r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp128r2) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp160r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp160r2) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp160k1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_brainpoolp160r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp192r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_prime192v2) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_prime192v3) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp192k1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_brainpoolp192r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp224r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp224k1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_brainpoolp224r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_prime239v1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_prime239v2) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_prime239v3) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp256r1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_secp256k1) / sizeof(ecc_oid_t),
+ 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 */
+ sizeof(ecc_oid_brainpoolp256r1) / sizeof(ecc_oid_t),
+ 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, sizeof(ecc_oid_brainpoolp320r1) / sizeof(ecc_oid_t), /* 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, sizeof(ecc_oid_secp384r1) / sizeof(ecc_oid_t), /* 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, sizeof(ecc_oid_brainpoolp384r1) / sizeof(ecc_oid_t), /* 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, sizeof(ecc_oid_brainpoolp512r1) / sizeof(ecc_oid_t), /* 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, sizeof(ecc_oid_secp521r1) / sizeof(ecc_oid_t), /* oid/oidSz */
+ ECC_SECP521R1_OID, /* oid sum */
+ 1, /* cofactor */
+ },
+ #endif /* !NO_ECC_SECP */
+#endif /* ECC521 */
+{
+ 0, -1,
+ NULL, NULL, NULL, NULL, NULL, NULL, NULL,
+ NULL, 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
+
+#ifndef WOLFSSL_ATECC508A
+
+static int ecc_check_pubkey_order(ecc_key* key, mp_int* a, mp_int* prime, mp_int* order);
+#ifdef ECC_SHAMIR
+static 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
+
+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(intcount) ecc_curve_spec* curve = NULL;
+#else
+ #define DECLARE_CURVE_SPECS(intcount) \
+ mp_int spec_ints[(intcount)]; \
+ ecc_curve_spec curve_lcl; \
+ ecc_curve_spec* curve = &curve_lcl; \
+ XMEMSET(curve, 0, sizeof(ecc_curve_spec)); \
+ curve->spec_ints = spec_ints; \
+ curve->spec_count = intcount;
+#endif /* 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, 16);
+
+ #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;
+
+ /* 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)
+ 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 */
+
+#if defined(ECC_CACHE_CURVE) && !defined(SINGLE_THREADED)
+ ret = wc_LockMutex(&ecc_curve_cache_mutex);
+ if (ret != 0) {
+ return MEMORY_E;
+ }
+#endif
+
+ /* determine items to load */
+ load_items = (~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;
+
+ /* 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;
+}
+
+#ifndef WOLFSSL_ATECC508A
+
+/**
+ 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)
+{
+ mp_int t1, t2;
+#ifdef ALT_ECC_SIZE
+ mp_int rx, ry, rz;
+#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;
+ }
+
+ if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+ 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);
+ 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 = ℞
+ 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);
+
+ return err;
+}
+
+/* ### 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)
+{
+ mp_int t1, t2;
+#ifdef ALT_ECC_SIZE
+ mp_int rx, ry, rz;
+#endif
+ mp_int *x, *y, *z;
+ int err;
+
+ if (P == NULL || R == NULL || modulus == NULL)
+ return ECC_BAD_ARG_E;
+
+ if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+ 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 = ℞
+ y = &ry;
+ z = &rz;
+
+ if ((err = mp_init_multi(x, y, z, NULL, NULL, NULL)) != MP_OKAY) {
+ mp_clear(&t1);
+ mp_clear(&t2);
+ 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);
+
+ return err;
+}
+
+
+/**
+ 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)
+{
+ mp_int t1, t2;
+#ifdef ALT_ECC_SIZE
+ mp_int rx, ry, rz;
+#endif
+ 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;
+ }
+
+ if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+ return MEMORY_E;
+ }
+
+#ifdef ALT_ECC_SIZE
+ /* Use local stack variable */
+ x = ℞
+ 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);
+
+ return err;
+}
+
+#if !defined(FREESCALE_LTC_ECC)
+
+#ifndef WC_NO_CACHE_RESISTANT
+#if defined(TFM_TIMING_RESISTANT) && defined(USE_FAST_MATH) && \
+ !defined(__cplusplus)
+ /* let's use the one we already have */
+ extern const wolfssl_word wc_off_on_addr[2];
+#else
+ static const wolfssl_word wc_off_on_addr[2] =
+ {
+ #if defined(WC_64BIT_CPU)
+ W64LIT(0x0000000000000000),
+ W64LIT(0xffffffffffffffff)
+ #elif defined(WC_16BIT_CPU)
+ 0x0000U,
+ 0xffffU
+ #else
+ /* 32 bit */
+ 0x00000000U,
+ 0xffffffffU
+ #endif
+ };
+#endif /* TFM_TIMING_RESISTANT && USE_FAST_MATH */
+#endif /* WC_NO_CACHE_RESISTANT */
+
+/**
+ 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 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;
+ mp_int mu;
+ 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));
+
+ /* init montgomery reduction */
+ if ((err = mp_montgomery_setup(modulus, &mp)) != MP_OKAY) {
+ return err;
+ }
+
+ if ((err = mp_init(&mu)) != MP_OKAY) {
+ return err;
+ }
+ if ((err = mp_montgomery_calc_normalization(&mu, modulus)) != MP_OKAY) {
+ mp_clear(&mu);
+ 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;
+ }
+ }
+
+ /* 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);
+
+#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);
+ }
+
+ return err;
+}
+
+/** 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 /* !FREESCALE_LTC_ECC */
+
+
+#ifdef ALT_ECC_SIZE
+
+static void alt_fp_init(fp_int* a)
+{
+ a->size = FP_SIZE_ECC;
+ fp_zero(a);
+}
+
+#endif /* ALT_ECC_SIZE */
+
+
+/**
+ * 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;
+
+ 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;
+}
+
+#endif /* !WOLFSSL_ATECC508A */
+
+
+/** 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 (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;
+ mp_int a, b;
+
+ if (param == NULL || curveParam == NULL)
+ return BAD_FUNC_ARG;
+
+ 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, 16);
+
+ if (err == MP_OKAY) {
+ if (mp_cmp(&a, &b) != MP_EQ) {
+ err = -1;
+ } else {
+ err = MP_EQ;
+ }
+ }
+
+#ifndef USE_FAST_MATH
+ mp_clear(&a);
+ mp_clear(&b);
+#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 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;
+ }
+
+ /* type valid? */
+ if (private_key->type != ECC_PRIVATEKEY) {
+ 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, 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;
+ ecc_point* result = NULL;
+ word32 x = 0;
+ 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
+
+ /* 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);
+#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;
+
+#ifdef HAVE_CAVIUM
+ /* TODO: Not implemented - use software for now */
+ err = wc_ecc_shared_secret_gen_sync(private_key, point, out, outlen, curve);
+
+#elif defined(HAVE_INTEL_QA)
+ /* sync public key x/y */
+ err = wc_ecc_curve_load(private_key->dp, &curve, ECC_CURVE_FIELD_BF);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(&private_key->k, &private_key->k.raw);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(point->x, &point->x->raw);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(point->y, &point->y->raw);
+ 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);
+#else /* WOLFSSL_ASYNC_CRYPT_TEST */
+ WC_ASYNC_TEST* testDev = &private_key->asyncDev.test;
+ if (testDev->type == ASYNC_TEST_NONE) {
+ testDev->type = ASYNC_TEST_ECC_SHARED_SEC;
+ testDev->eccSharedSec.private_key = private_key;
+ testDev->eccSharedSec.public_point = point;
+ testDev->eccSharedSec.out = out;
+ testDev->eccSharedSec.outLen = outlen;
+ return WC_PENDING_E;
+ }
+ err = wc_ecc_shared_secret_gen_sync(private_key, point, out, outlen, curve);
+#endif
+
+ 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(2)
+
+ if (private_key == NULL || point == NULL || out == NULL ||
+ outlen == NULL) {
+ return BAD_FUNC_ARG;
+ }
+
+ /* load curve info */
+ err = wc_ecc_curve_load(private_key->dp, &curve,
+ (ECC_CURVE_FIELD_PRIME | ECC_CURVE_FIELD_AF));
+ if (err != MP_OKAY)
+ 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);
+
+ 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) {
+ 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;
+ err = 0;
+ #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
+ if (private_key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
+ #if defined(HAVE_CAVIUM) || defined(HAVE_INTEL_QA)
+ err = private_key->asyncDev.event.ret;
+ #endif
+ }
+ #endif
+ 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;
+ }
+
+ 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;
+}
+
+/* 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;
+#ifdef WOLFSSL_SMALL_STACK
+ byte* buf;
+#else
+ byte buf[ECC_MAXSIZE_GEN];
+#endif
+
+#ifdef WOLFSSL_SMALL_STACK
+ buf = (byte*)XMALLOC(ECC_MAXSIZE_GEN, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ if (buf == NULL)
+ return MEMORY_E;
+#endif
+
+ /*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);
+
+ /* 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;
+ }
+
+ /* 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);
+ }
+ }
+
+ ForceZero(buf, ECC_MAXSIZE);
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(buf, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+
+ return err;
+}
+#endif /* !WOLFSSL_ATECC508A */
+
+int wc_ecc_make_key_ex(WC_RNG* rng, int keysize, ecc_key* key, int curve_id)
+{
+ int err;
+#ifndef WOLFSSL_ATECC508A
+ ecc_point* base = NULL;
+ DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT)
+#endif
+
+ if (key == NULL || rng == NULL) {
+ return BAD_FUNC_ARG;
+ }
+
+ /* make sure required key variables are reset */
+ key->state = ECC_STATE_NONE;
+ key->idx = 0;
+ key->dp = NULL;
+
+ 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
+ WC_ASYNC_TEST* testDev = &key->asyncDev.test;
+ if (testDev->type == ASYNC_TEST_NONE) {
+ testDev->type = ASYNC_TEST_ECC_MAKE;
+ 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);
+ if (err != ATCA_SUCCESS) {
+ err = BAD_COND_E;
+ }
+
+#else
+
+ /* setup the key variables */
+ err = mp_init(&key->k);
+ if (err == MP_OKAY) {
+ #ifndef ALT_ECC_SIZE
+ err = mp_init_multi(key->pubkey.x, key->pubkey.y, key->pubkey.z,
+ NULL, NULL, NULL);
+ #else
+ 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);
+ #endif
+ }
+
+ if (err == MP_OKAY) {
+ base = wc_ecc_new_point_h(key->heap);
+ if (base == NULL)
+ err = MEMORY_E;
+ }
+
+ /* load curve info */
+ if (err == MP_OKAY)
+ err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
+
+ /* 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);
+
+ /* generate k */
+ if (err == MP_OKAY)
+ err = wc_ecc_gen_k(rng, key->dp->size, &key->k, curve->order);
+
+ /* make the public key */
+ if (err == MP_OKAY)
+ err = wc_ecc_mulmod_ex(&key->k, base, &key->pubkey,
+ curve->Af, curve->prime, 1, key->heap);
+
+#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
+ /* validate the public key, order * pubkey = point at infinity */
+ if (err == MP_OKAY)
+ err = ecc_check_pubkey_order(key, curve->Af, curve->prime, curve->order);
+#endif /* WOLFSSL_VALIDATE_KEYGEN */
+
+ if (err == MP_OKAY)
+ key->type = ECC_PRIVATEKEY;
+
+ /* cleanup these on failure case only */
+ if (err != MP_OKAY) {
+ /* clean up */
+ #ifndef ALT_ECC_SIZE
+ mp_clear(key->pubkey.x);
+ mp_clear(key->pubkey.y);
+ mp_clear(key->pubkey.z);
+ #endif
+ mp_forcezero(&key->k);
+ }
+
+ /* cleanup allocations */
+ wc_ecc_del_point_h(base, key->heap);
+ wc_ecc_curve_free(curve);
+
+#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);
+}
+
+static INLINE int wc_ecc_alloc_rs(ecc_key* key, mp_int** r, mp_int** s)
+{
+ int err = 0;
+
+#ifndef WOLFSSL_ASYNC_CRYPT
+ (void)key;
+#endif
+
+ if (*r == NULL) {
+ #ifdef WOLFSSL_ASYNC_CRYPT
+ *r = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_BIGINT);
+ if (*r == NULL) {
+ return MEMORY_E;
+ }
+ key->r = *r;
+ #endif
+ }
+ if (*s == NULL) {
+ #ifdef WOLFSSL_ASYNC_CRYPT
+ *s = (mp_int*)XMALLOC(sizeof(mp_int), key->heap, DYNAMIC_TYPE_BIGINT);
+ if (*s == NULL) {
+ XFREE(*r, key->heap, DYNAMIC_TYPE_BIGINT);
+ return MEMORY_E;
+ }
+ key->s = *s;
+ #endif
+ }
+
+ /* initialize mp_int */
+ if (*r)
+ XMEMSET(*r, 0, sizeof(mp_int));
+ if (*s)
+ XMEMSET(*s, 0, sizeof(mp_int));
+
+ return err;
+}
+
+static INLINE void wc_ecc_free_rs(ecc_key* key, mp_int** r, mp_int** s)
+{
+ if (*r) {
+ mp_clear(*r);
+
+ #ifdef WOLFSSL_ASYNC_CRYPT
+ XFREE(*r, key->heap, DYNAMIC_TYPE_BIGINT);
+ key->r = NULL;
+ #endif
+ *r = NULL;
+ }
+ if (*s) {
+ mp_clear(*s);
+
+ #ifdef WOLFSSL_ASYNC_CRYPT
+ XFREE(*s, key->heap, DYNAMIC_TYPE_BIGINT);
+ key->s = NULL;
+ #endif
+ *s = NULL;
+ }
+ (void)key;
+}
+
+/* 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;
+
+#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);
+#else
+ (void)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
+/**
+ 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;
+#ifndef WOLFSSL_ASYNC_CRYPT
+ mp_int r_lcl, s_lcl;
+ r = &r_lcl;
+ s = &s_lcl;
+#endif
+
+ if (in == NULL || out == NULL || outlen == NULL || key == NULL ||
+ rng == NULL) {
+ return ECC_BAD_ARG_E;
+ }
+
+ switch(key->state) {
+ case ECC_STATE_NONE:
+ case ECC_STATE_SIGN_DO:
+ key->state = ECC_STATE_SIGN_DO;
+
+ err = wc_ecc_alloc_rs(key, &r, &s);
+ if (err != 0)
+ break;
+
+ if ((err = mp_init_multi(r, s, NULL, NULL, NULL, NULL)) != MP_OKAY){
+ break;
+ }
+
+ #ifdef WOLFSSL_ATECC508A
+ /* Check args */
+ if (inlen != ATECC_KEY_SIZE || *outlen < SIGN_RSP_SIZE) {
+ return ECC_BAD_ARG_E;
+ }
+
+ /* 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;
+ }
+
+ /* Load R and S */
+ err = mp_read_unsigned_bin(r, &out[0], ATECC_KEY_SIZE);
+ if (err != MP_OKAY) {
+ return err;
+ }
+ err = mp_read_unsigned_bin(s, &out[ATECC_KEY_SIZE], ATECC_KEY_SIZE);
+ if (err != MP_OKAY) {
+ return err;
+ }
+
+ /* Check for zeros */
+ if (mp_iszero(r) || mp_iszero(s)) {
+ return MP_ZERO_E;
+ }
+
+ #else
+
+ err = wc_ecc_sign_hash_ex(in, inlen, rng, key, r, s);
+ if (err < 0) {
+ break;
+ }
+
+ #endif /* WOLFSSL_ATECC508A */
+
+ /* fall through */
+ case ECC_STATE_SIGN_ENCODE:
+ key->state = ECC_STATE_SIGN_ENCODE;
+
+ #if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
+ /* restore r/s */
+ r = key->r;
+ s = key->s;
+
+ if (key->asyncDev.marker == WOLFSSL_ASYNC_MARKER_ECC) {
+ /* only do this if not simulator, since it overwrites result */
+ #ifndef WOLFSSL_ASYNC_CRYPT_TEST
+ 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);
+
+ /* always free r/s */
+ mp_clear(r);
+ mp_clear(s);
+ 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 */
+ wc_ecc_free_rs(key, &r, &s);
+ 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;
+ mp_int e;
+ DECLARE_CURVE_SPECS(1)
+
+ 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) {
+ return ECC_BAD_ARG_E;
+ }
+
+ /* 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) {
+ WC_ASYNC_TEST* testDev = &key->asyncDev.test;
+ if (testDev->type == ASYNC_TEST_NONE) {
+ testDev->type = ASYNC_TEST_ECC_SIGN;
+ 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
+
+ /* get the hash and load it as a bignum into 'e' */
+ /* init the bignums */
+ if ((err = mp_init(&e)) != MP_OKAY) {
+ 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;
+ ecc_key pubkey;
+
+ #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)
+ mp_int k;
+
+ err = mp_init(&k);
+ /* make sure r and s are allocated */
+ if (err == MP_OKAY)
+ err = wc_bigint_alloc(&key->r->raw, key->dp->size);
+ 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(&e, &e.raw);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(&key->k, &key->k.raw);
+ if (err == MP_OKAY)
+ err = wc_ecc_curve_load(key->dp, &curve, ECC_CURVE_FIELD_ALL);
+ 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(&k, &k.raw);
+ 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);
+
+ mp_clear(&e);
+ mp_clear(&k);
+ wc_ecc_curve_free(curve);
+
+ return err;
+ #endif
+ }
+ #endif /* WOLFSSL_ASYNC_CRYPT */
+
+ /* don't use async for key, since we don't support async return here */
+ if (wc_ecc_init_ex(&pubkey, key->heap, INVALID_DEVID) == MP_OKAY) {
+ for (;;) {
+ 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 */
+ err = mp_invmod(&pubkey.k, curve->order, &pubkey.k);
+ if (err != MP_OKAY) break;
+
+ /* s = xr */
+ err = mp_mulmod(&key->k, r, curve->order, s);
+ if (err != MP_OKAY) break;
+
+ /* s = e + xr */
+ err = mp_add(&e, s, s);
+ if (err != MP_OKAY) break;
+
+ /* s = e + xr */
+ err = mp_mod(s, curve->order, s);
+ if (err != MP_OKAY) break;
+
+ /* s = (e + xr)/k */
+ err = mp_mulmod(s, &pubkey.k, curve->order, s);
+
+ if (mp_iszero(s) == MP_NO)
+ break;
+ }
+ }
+ wc_ecc_free(&pubkey);
+ }
+ }
+
+ mp_clear(&e);
+ wc_ecc_curve_free(curve);
+
+ return err;
+}
+#endif /* WOLFSSL_ATECC508A */
+#endif /* HAVE_ECC_SIGN */
+
+/**
+ Free an ECC key from memory
+ key The key you wish to free
+*/
+void wc_ecc_free(ecc_key* key)
+{
+ if (key == NULL) {
+ return;
+ }
+
+#if defined(WOLFSSL_ASYNC_CRYPT) && defined(WC_ASYNC_ENABLE_ECC)
+ wolfAsync_DevCtxFree(&key->asyncDev, WOLFSSL_ASYNC_MARKER_ECC);
+ wc_ecc_free_rs(key, &key->r, &key->s);
+#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 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
+static 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
+{
+ ecc_point* precomp[16];
+ 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;
+
+ /* 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_TMP_BUFFER);
+ if (tA == NULL) {
+ return GEN_MEM_ERR;
+ }
+ tB = (unsigned char*)XMALLOC(ECC_BUFSIZE, heap, DYNAMIC_TYPE_TMP_BUFFER);
+ if (tB == NULL) {
+ XFREE(tA, heap, DYNAMIC_TYPE_TMP_BUFFER);
+ return GEN_MEM_ERR;
+ }
+
+ /* init variables */
+ XMEMSET(tA, 0, ECC_BUFSIZE);
+ XMEMSET(tB, 0, ECC_BUFSIZE);
+ XMEMSET(precomp, 0, sizeof(precomp));
+
+ /* 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 < 16; x++) {
+ precomp[x] = wc_ecc_new_point_h(heap);
+ if (precomp[x] == NULL) {
+ err = GEN_MEM_ERR;
+ break;
+ }
+ }
+ }
+ }
+
+ if (err == MP_OKAY)
+ /* init montgomery reduction */
+ err = mp_montgomery_setup(modulus, &mp);
+
+ if (err == MP_OKAY) {
+ mp_int mu;
+ 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);
+ }
+ }
+
+ 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 < 16; x++) {
+ wc_ecc_del_point_h(precomp[x], heap);
+ }
+
+ ForceZero(tA, ECC_BUFSIZE);
+ ForceZero(tB, ECC_BUFSIZE);
+ XFREE(tA, heap, DYNAMIC_TYPE_TMP_BUFFER);
+ XFREE(tB, heap, DYNAMIC_TYPE_TMP_BUFFER);
+
+ return err;
+}
+
+#endif /* ECC_SHAMIR */
+
+
+#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
+ mp_int r_lcl, s_lcl;
+ r = &r_lcl;
+ s = &s_lcl;
+#endif
+
+ if (sig == NULL || hash == NULL || res == NULL || key == NULL) {
+ return ECC_BAD_ARG_E;
+ }
+
+ 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. */
+ err = wc_ecc_alloc_rs(key, &r, &s);
+ if (err != 0)
+ break;
+
+ /* 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);
+ if (err < 0) {
+ break;
+ }
+
+ /* fall through */
+ case ECC_STATE_VERIFY_RES:
+ key->state = ECC_STATE_VERIFY_RES;
+ err = 0;
+
+ #ifdef WOLFSSL_ASYNC_CRYPT
+ /* restore r/s */
+ r = key->r;
+ s = key->s;
+ #endif
+
+ /* done with R/S */
+ mp_clear(r);
+ mp_clear(s);
+ 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 */
+ wc_ecc_free_rs(key, &r, &s);
+ 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;
+#ifndef WOLFSSL_ATECC508A
+ int did_init = 0;
+ ecc_point *mG = NULL, *mQ = NULL;
+ mp_int v;
+ mp_int w;
+ mp_int u1;
+ mp_int u2;
+ mp_int e;
+ DECLARE_CURVE_SPECS(ECC_CURVE_FIELD_COUNT)
+#else
+ byte sigRS[ATECC_KEY_SIZE*2];
+#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) {
+ WC_ASYNC_TEST* testDev = &key->asyncDev.test;
+ if (testDev->type == ASYNC_TEST_NONE) {
+ testDev->type = ASYNC_TEST_ECC_VERIFY;
+ 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, (bool*)res);
+ if (err != ATCA_SUCCESS) {
+ return BAD_COND_E;
+ }
+
+#else
+
+ 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) {
+ #ifdef HAVE_CAVIUM
+ /* TODO: Not implemented */
+ #elif defined(HAVE_INTEL_QA)
+ err = wc_mp_to_bigint(&e, &e.raw);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(key->pubkey.x, &key->pubkey.x->raw);
+ if (err == MP_OKAY)
+ err = wc_mp_to_bigint(key->pubkey.y, &key->pubkey.y->raw);
+ if (err == MP_OKAY)
+ err = 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);
+
+ mp_clear(&e);
+
+ wc_ecc_curve_free(curve);
+
+ return err;
+ #endif
+ }
+#endif /* WOLFSSL_ASYNC_CRYPT */
+
+ /* 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 /* FREESCALE_LTC_ECC */
+#ifndef ECC_SHAMIR
+ {
+ mp_digit mp;
+
+ /* 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);
+ }
+
+ wc_ecc_curve_free(curve);
+
+#endif /* WOLFSSL_ATECC508A */
+
+ return err;
+}
+#endif /* HAVE_ECC_VERIFY */
+
+#ifdef HAVE_ECC_KEY_IMPORT
+#ifndef WOLFSSL_ATECC508A
+/* import point from der */
+int wc_ecc_import_point_der(byte* in, word32 inLen, const int curve_idx,
+ ecc_point* point)
+{
+ int err = 0;
+ int compressed = 0;
+
+ 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 4, 2, or 3 */
+ if (in[0] != 0x04 && in[0] != 0x02 && in[0] != 0x03) {
+ err = ASN_PARSE_E;
+ }
+
+ if (in[0] == 0x02 || in[0] == 0x03) {
+#ifdef HAVE_COMP_KEY
+ compressed = 1;
+#else
+ err = NOT_COMPILED_IN;
+#endif
+ }
+
+ /* read data */
+ if (err == MP_OKAY)
+ err = mp_read_unsigned_bin(point->x, (byte*)in+1, (inLen-1)>>1);
+
+#ifdef HAVE_COMP_KEY
+ if (err == MP_OKAY && compressed == 1) { /* build y */
+ int did_init = 0;
+ mp_int t1, t2;
+ DECLARE_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 && in[0] == 0x03) ||
+ (mp_isodd(&t2) == MP_NO && in[0] == 0x02)) {
+ 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);
+ }
+#endif
+
+ if (err == MP_OKAY && compressed == 0)
+ err = mp_read_unsigned_bin(point->y,
+ (byte*)in+1+((inLen-1)>>1), (inLen-1)>>1);
+ 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);
+ }
+
+ return err;
+}
+#endif /* !WOLFSSL_ATECC508A */
+#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 0x04 */
+ out[0] = 0x04;
+
+#ifdef WOLFSSL_SMALL_STACK
+ buf = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_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_TMP_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;
+#ifndef WOLFSSL_ATECC508A
+#ifdef WOLFSSL_SMALL_STACK
+ byte* buf;
+#else
+ byte buf[ECC_BUFSIZE];
+#endif
+ word32 pubxlen, pubylen;
+#endif /* WOLFSSL_ATECC508A */
+
+ /* 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 (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;
+ }
+
+#ifdef WOLFSSL_ATECC508A
+ /* TODO: Implement equiv call to ATECC508A */
+ ret = BAD_COND_E;
+
+#else
+
+ /* 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 0x04 */
+ out[0] = 0x04;
+
+#ifdef WOLFSSL_SMALL_STACK
+ buf = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_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_TMP_BUFFER);
+#endif
+#endif /* WOLFSSL_ATECC508A */
+
+ 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)
+{
+ int err;
+ mp_int t1, t2;
+
+ if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+ 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);
+
+ return err;
+}
+
+
+/* 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(2)
+
+ if (key == NULL)
+ return BAD_FUNC_ARG;
+
+ base = wc_ecc_new_point_h(key->heap);
+ if (base == NULL)
+ return MEMORY_E;
+
+ /* 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) {
+ res = wc_ecc_new_point_h(key->heap);
+ if (res == NULL)
+ err = MEMORY_E;
+ else {
+ 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);
+
+ return err;
+}
+
+#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(2)
+#endif
+
+ if (key == NULL)
+ return BAD_FUNC_ARG;
+
+#ifdef WOLFSSL_ATECC508A
+ /* TODO: Implement equiv call to ATECC508A */
+ err = BAD_COND_E;
+
+#else
+
+ /* 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);
+
+#endif /* WOLFSSL_ATECC508A */
+
+ return err;
+}
+
+#endif /* WOLFSSL_VALIDATE_ECC_IMPORT */
+
+
+/* validate order * pubkey = point at infinity, 0 on success */
+static int ecc_check_pubkey_order(ecc_key* key, 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 {
+ err = wc_ecc_mulmod_ex(order, &key->pubkey, inf, a, prime, 1, key->heap);
+ if (err == MP_OKAY && !wc_ecc_point_is_at_infinity(inf))
+ err = ECC_INF_E;
+ }
+
+ wc_ecc_del_point_h(inf, key->heap);
+
+ return err;
+}
+
+#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_ATECC508A
+ mp_int* b;
+#ifdef USE_ECC_B_PARAM
+ DECLARE_CURVE_SPECS(4)
+#else
+ mp_int b_lcl;
+ DECLARE_CURVE_SPECS(3)
+ b = &b_lcl;
+ XMEMSET(b, 0, sizeof(mp_int));
+#endif
+#endif /* WOLFSSL_ATECC508A */
+
+ if (key == NULL)
+ return BAD_FUNC_ARG;
+
+#ifdef WOLFSSL_ATECC508A
+ /* TODO: Implement equiv call to ATECC508A */
+ err = BAD_COND_E;
+
+#else
+
+ /* pubkey point cannot be at infinity */
+ if (wc_ecc_point_is_at_infinity(&key->pubkey))
+ 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, 16);
+#else
+ b = curve->Bf;
+#endif
+
+ /* 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;
+
+ /* make sure point is actually on curve */
+ if (err == MP_OKAY)
+ err = wc_ecc_is_point(&key->pubkey, curve->Af, b, curve->prime);
+
+ /* pubkey * order must be at infinity */
+ if (err == MP_OKAY)
+ err = ecc_check_pubkey_order(key, curve->Af, curve->prime, curve->order);
+
+ /* 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);
+#endif
+
+#endif /* WOLFSSL_ATECC508A */
+
+ 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;
+#ifndef WOLFSSL_ATECC508A
+ int compressed = 0;
+#endif /* !WOLFSSL_ATECC508A */
+ void* heap;
+
+ if (in == NULL || key == NULL)
+ return BAD_FUNC_ARG;
+
+ /* must be odd */
+ if ((inLen & 1) == 0) {
+ return ECC_BAD_ARG_E;
+ }
+
+ heap = key->heap; /* save heap */
+ XMEMSET(key, 0, sizeof(ecc_key));
+ key->heap = heap; /* restore heap */
+
+#ifdef WOLFSSL_ATECC508A
+ /* TODO: Implement equiv call to ATECC508A */
+ err = BAD_COND_E;
+
+#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;
+
+ /* check for 4, 2, or 3 */
+ if (in[0] != 0x04 && in[0] != 0x02 && in[0] != 0x03) {
+ err = ASN_PARSE_E;
+ }
+
+ if (in[0] == 0x02 || in[0] == 0x03) {
+ #ifdef HAVE_COMP_KEY
+ compressed = 1;
+ #else
+ err = NOT_COMPILED_IN;
+ #endif
+ }
+
+ if (err == MP_OKAY) {
+ int keysize;
+ /* adjust inLen if compressed */
+ if (compressed)
+ inLen = (inLen-1)*2 + 1; /* used uncompressed len */
+
+ /* determine key size */
+ keysize = ((inLen-1)>>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+1, (inLen-1)>>1);
+
+#ifdef HAVE_COMP_KEY
+ if (err == MP_OKAY && compressed == 1) { /* build y */
+ mp_int t1, t2;
+ int did_init = 0;
+
+ DECLARE_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 && in[0] == 0x03) ||
+ (mp_isodd(&t2) == MP_NO && in[0] == 0x02)) {
+ 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);
+ }
+#endif /* HAVE_COMP_KEY */
+
+ if (err == MP_OKAY && compressed == 0)
+ err = mp_read_unsigned_bin(key->pubkey.y, (byte*)in+1+((inLen-1)>>1),
+ (inLen-1)>>1);
+ 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);
+ }
+#endif /* WOLFSSL_ATECC508A */
+
+ 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 (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);
+
+ /* private key, d */
+ err = mp_to_unsigned_bin(&key->k, d +
+ (numLen - mp_unsigned_bin_size(&key->k)));
+ if (err != MP_OKAY)
+ return err;
+ }
+
+ /* 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;
+
+ /* public optional, NULL if only importing private */
+ if (pub != NULL) {
+
+ ret = wc_ecc_import_x963_ex(pub, pubSz, key, curve_id);
+
+ } else {
+
+ if (key == NULL || priv == NULL)
+ return BAD_FUNC_ARG;
+
+ /* make sure required key variables are reset */
+ key->state = ECC_STATE_NONE;
+ key->idx = 0;
+ key->dp = NULL;
+
+ /* set key size */
+ ret = wc_ecc_set_curve(key, privSz, curve_id);
+ }
+
+ if (ret != 0)
+ return ret;
+
+ key->type = ECC_PRIVATEKEY;
+
+#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 (ret == MP_OKAY)
+ 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;
+ mp_int rtmp;
+ mp_int stmp;
+
+ if (r == NULL || s == NULL || out == NULL || outlen == NULL)
+ return ECC_BAD_ARG_E;
+
+ err = mp_init_multi(&rtmp, &stmp, NULL, NULL, NULL, NULL);
+ if (err != MP_OKAY)
+ return err;
+
+ err = mp_read_radix(&rtmp, r, 16);
+ if (err == MP_OKAY)
+ err = mp_read_radix(&stmp, s, 16);
+
+ /* 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);
+
+ 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;
+ mp_int rtmp;
+ mp_int stmp;
+
+ if (sig == NULL || r == NULL || rLen == NULL || s == NULL || sLen == NULL)
+ return ECC_BAD_ARG_E;
+
+ 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);
+
+ 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 err = MP_OKAY;
+ void* heap;
+
+ /* if d is NULL, only import as public key using Qx,Qy */
+ if (key == NULL || qx == NULL || qy == NULL) {
+ return BAD_FUNC_ARG;
+ }
+
+ heap = key->heap; /* save heap */
+ XMEMSET(key, 0, sizeof(ecc_key));
+ key->heap = heap; /* restore heap */
+
+ /* 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;
+
+#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)
+ err = mp_read_radix(key->pubkey.x, qx, 16);
+
+ /* read Qy */
+ if (err == MP_OKAY)
+ err = mp_read_radix(key->pubkey.y, qy, 16);
+
+ 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;
+ err = mp_read_radix(&key->k, d, 16);
+ } 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);
+
+}
+
+/**
+ 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);
+ }
+
+ 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;
+}
+
+
+/* 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 (sz * 2) + SIG_HEADER_SZ + ECC_MAX_PAD_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
+
+
+/** 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 },
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+ { 4, 1568, 2048 }, { 5, 1569, 2048 }, { 5, 1570, 2048 }, { 6, 1571, 2048 }, { 5, 1572, 2048 }, { 6, 1573, 2048 }, { 6, 1574, 2048 }, { 7, 1575, 2048 },
+ { 5, 1576, 2048 }, { 6, 1577, 2048 }, { 6, 1578, 2048 }, { 7, 1579, 2048 }, { 6, 1580, 2048 }, { 7, 1581, 2048 }, { 7, 1582, 2048 }, { 8, 1583, 2048 },
+ { 5, 1584, 2048 }, { 6, 1585, 2048 }, { 6, 1586, 2048 }, { 7, 1587, 2048 }, { 6, 1588, 2048 }, { 7, 1589, 2048 }, { 7, 1590, 2048 }, { 8, 1591, 2048 },
+ { 6, 1592, 2048 }, { 7, 1593, 2048 }, { 7, 1594, 2048 }, { 8, 1595, 2048 }, { 7, 1596, 2048 }, { 8, 1597, 2048 }, { 8, 1598, 2048 }, { 9, 1599, 2048 },
+ { 4, 1600, 2048 }, { 5, 1601, 2048 }, { 5, 1602, 2048 }, { 6, 1603, 2048 }, { 5, 1604, 2048 }, { 6, 1605, 2048 }, { 6, 1606, 2048 }, { 7, 1607, 2048 },
+ { 5, 1608, 2048 }, { 6, 1609, 2048 }, { 6, 1610, 2048 }, { 7, 1611, 2048 }, { 6, 1612, 2048 }, { 7, 1613, 2048 }, { 7, 1614, 2048 }, { 8, 1615, 2048 },
+ { 5, 1616, 2048 }, { 6, 1617, 2048 }, { 6, 1618, 2048 }, { 7, 1619, 2048 }, { 6, 1620, 2048 }, { 7, 1621, 2048 }, { 7, 1622, 2048 }, { 8, 1623, 2048 },
+ { 6, 1624, 2048 }, { 7, 1625, 2048 }, { 7, 1626, 2048 }, { 8, 1627, 2048 }, { 7, 1628, 2048 }, { 8, 1629, 2048 }, { 8, 1630, 2048 }, { 9, 1631, 2048 },
+ { 5, 1632, 2048 }, { 6, 1633, 2048 }, { 6, 1634, 2048 }, { 7, 1635, 2048 }, { 6, 1636, 2048 }, { 7, 1637, 2048 }, { 7, 1638, 2048 }, { 8, 1639, 2048 },
+ { 6, 1640, 2048 }, { 7, 1641, 2048 }, { 7, 1642, 2048 }, { 8, 1643, 2048 }, { 7, 1644, 2048 }, { 8, 1645, 2048 }, { 8, 1646, 2048 }, { 9, 1647, 2048 },
+ { 6, 1648, 2048 }, { 7, 1649, 2048 }, { 7, 1650, 2048 }, { 8, 1651, 2048 }, { 7, 1652, 2048 }, { 8, 1653, 2048 }, { 8, 1654, 2048 }, { 9, 1655, 2048 },
+ { 7, 1656, 2048 }, { 8, 1657, 2048 }, { 8, 1658, 2048 }, { 9, 1659, 2048 }, { 8, 1660, 2048 }, { 9, 1661, 2048 }, { 9, 1662, 2048 }, { 10, 1663, 2048 },
+ { 4, 1664, 2048 }, { 5, 1665, 2048 }, { 5, 1666, 2048 }, { 6, 1667, 2048 }, { 5, 1668, 2048 }, { 6, 1669, 2048 }, { 6, 1670, 2048 }, { 7, 1671, 2048 },
+ { 5, 1672, 2048 }, { 6, 1673, 2048 }, { 6, 1674, 2048 }, { 7, 1675, 2048 }, { 6, 1676, 2048 }, { 7, 1677, 2048 }, { 7, 1678, 2048 }, { 8, 1679, 2048 },
+ { 5, 1680, 2048 }, { 6, 1681, 2048 }, { 6, 1682, 2048 }, { 7, 1683, 2048 }, { 6, 1684, 2048 }, { 7, 1685, 2048 }, { 7, 1686, 2048 }, { 8, 1687, 2048 },
+ { 6, 1688, 2048 }, { 7, 1689, 2048 }, { 7, 1690, 2048 }, { 8, 1691, 2048 }, { 7, 1692, 2048 }, { 8, 1693, 2048 }, { 8, 1694, 2048 }, { 9, 1695, 2048 },
+ { 5, 1696, 2048 }, { 6, 1697, 2048 }, { 6, 1698, 2048 }, { 7, 1699, 2048 }, { 6, 1700, 2048 }, { 7, 1701, 2048 }, { 7, 1702, 2048 }, { 8, 1703, 2048 },
+ { 6, 1704, 2048 }, { 7, 1705, 2048 }, { 7, 1706, 2048 }, { 8, 1707, 2048 }, { 7, 1708, 2048 }, { 8, 1709, 2048 }, { 8, 1710, 2048 }, { 9, 1711, 2048 },
+ { 6, 1712, 2048 }, { 7, 1713, 2048 }, { 7, 1714, 2048 }, { 8, 1715, 2048 }, { 7, 1716, 2048 }, { 8, 1717, 2048 }, { 8, 1718, 2048 }, { 9, 1719, 2048 },
+ { 7, 1720, 2048 }, { 8, 1721, 2048 }, { 8, 1722, 2048 }, { 9, 1723, 2048 }, { 8, 1724, 2048 }, { 9, 1725, 2048 }, { 9, 1726, 2048 }, { 10, 1727, 2048 },
+ { 5, 1728, 2048 }, { 6, 1729, 2048 }, { 6, 1730, 2048 }, { 7, 1731, 2048 }, { 6, 1732, 2048 }, { 7, 1733, 2048 }, { 7, 1734, 2048 }, { 8, 1735, 2048 },
+ { 6, 1736, 2048 }, { 7, 1737, 2048 }, { 7, 1738, 2048 }, { 8, 1739, 2048 }, { 7, 1740, 2048 }, { 8, 1741, 2048 }, { 8, 1742, 2048 }, { 9, 1743, 2048 },
+ { 6, 1744, 2048 }, { 7, 1745, 2048 }, { 7, 1746, 2048 }, { 8, 1747, 2048 }, { 7, 1748, 2048 }, { 8, 1749, 2048 }, { 8, 1750, 2048 }, { 9, 1751, 2048 },
+ { 7, 1752, 2048 }, { 8, 1753, 2048 }, { 8, 1754, 2048 }, { 9, 1755, 2048 }, { 8, 1756, 2048 }, { 9, 1757, 2048 }, { 9, 1758, 2048 }, { 10, 1759, 2048 },
+ { 6, 1760, 2048 }, { 7, 1761, 2048 }, { 7, 1762, 2048 }, { 8, 1763, 2048 }, { 7, 1764, 2048 }, { 8, 1765, 2048 }, { 8, 1766, 2048 }, { 9, 1767, 2048 },
+ { 7, 1768, 2048 }, { 8, 1769, 2048 }, { 8, 1770, 2048 }, { 9, 1771, 2048 }, { 8, 1772, 2048 }, { 9, 1773, 2048 }, { 9, 1774, 2048 }, { 10, 1775, 2048 },
+ { 7, 1776, 2048 }, { 8, 1777, 2048 }, { 8, 1778, 2048 }, { 9, 1779, 2048 }, { 8, 1780, 2048 }, { 9, 1781, 2048 }, { 9, 1782, 2048 }, { 10, 1783, 2048 },
+ { 8, 1784, 2048 }, { 9, 1785, 2048 }, { 9, 1786, 2048 }, { 10, 1787, 2048 }, { 9, 1788, 2048 }, { 10, 1789, 2048 }, { 10, 1790, 2048 }, { 11, 1791, 2048 },
+ { 4, 1792, 2048 }, { 5, 1793, 2048 }, { 5, 1794, 2048 }, { 6, 1795, 2048 }, { 5, 1796, 2048 }, { 6, 1797, 2048 }, { 6, 1798, 2048 }, { 7, 1799, 2048 },
+ { 5, 1800, 2048 }, { 6, 1801, 2048 }, { 6, 1802, 2048 }, { 7, 1803, 2048 }, { 6, 1804, 2048 }, { 7, 1805, 2048 }, { 7, 1806, 2048 }, { 8, 1807, 2048 },
+ { 5, 1808, 2048 }, { 6, 1809, 2048 }, { 6, 1810, 2048 }, { 7, 1811, 2048 }, { 6, 1812, 2048 }, { 7, 1813, 2048 }, { 7, 1814, 2048 }, { 8, 1815, 2048 },
+ { 6, 1816, 2048 }, { 7, 1817, 2048 }, { 7, 1818, 2048 }, { 8, 1819, 2048 }, { 7, 1820, 2048 }, { 8, 1821, 2048 }, { 8, 1822, 2048 }, { 9, 1823, 2048 },
+ { 5, 1824, 2048 }, { 6, 1825, 2048 }, { 6, 1826, 2048 }, { 7, 1827, 2048 }, { 6, 1828, 2048 }, { 7, 1829, 2048 }, { 7, 1830, 2048 }, { 8, 1831, 2048 },
+ { 6, 1832, 2048 }, { 7, 1833, 2048 }, { 7, 1834, 2048 }, { 8, 1835, 2048 }, { 7, 1836, 2048 }, { 8, 1837, 2048 }, { 8, 1838, 2048 }, { 9, 1839, 2048 },
+ { 6, 1840, 2048 }, { 7, 1841, 2048 }, { 7, 1842, 2048 }, { 8, 1843, 2048 }, { 7, 1844, 2048 }, { 8, 1845, 2048 }, { 8, 1846, 2048 }, { 9, 1847, 2048 },
+ { 7, 1848, 2048 }, { 8, 1849, 2048 }, { 8, 1850, 2048 }, { 9, 1851, 2048 }, { 8, 1852, 2048 }, { 9, 1853, 2048 }, { 9, 1854, 2048 }, { 10, 1855, 2048 },
+ { 5, 1856, 2048 }, { 6, 1857, 2048 }, { 6, 1858, 2048 }, { 7, 1859, 2048 }, { 6, 1860, 2048 }, { 7, 1861, 2048 }, { 7, 1862, 2048 }, { 8, 1863, 2048 },
+ { 6, 1864, 2048 }, { 7, 1865, 2048 }, { 7, 1866, 2048 }, { 8, 1867, 2048 }, { 7, 1868, 2048 }, { 8, 1869, 2048 }, { 8, 1870, 2048 }, { 9, 1871, 2048 },
+ { 6, 1872, 2048 }, { 7, 1873, 2048 }, { 7, 1874, 2048 }, { 8, 1875, 2048 }, { 7, 1876, 2048 }, { 8, 1877, 2048 }, { 8, 1878, 2048 }, { 9, 1879, 2048 },
+ { 7, 1880, 2048 }, { 8, 1881, 2048 }, { 8, 1882, 2048 }, { 9, 1883, 2048 }, { 8, 1884, 2048 }, { 9, 1885, 2048 }, { 9, 1886, 2048 }, { 10, 1887, 2048 },
+ { 6, 1888, 2048 }, { 7, 1889, 2048 }, { 7, 1890, 2048 }, { 8, 1891, 2048 }, { 7, 1892, 2048 }, { 8, 1893, 2048 }, { 8, 1894, 2048 }, { 9, 1895, 2048 },
+ { 7, 1896, 2048 }, { 8, 1897, 2048 }, { 8, 1898, 2048 }, { 9, 1899, 2048 }, { 8, 1900, 2048 }, { 9, 1901, 2048 }, { 9, 1902, 2048 }, { 10, 1903, 2048 },
+ { 7, 1904, 2048 }, { 8, 1905, 2048 }, { 8, 1906, 2048 }, { 9, 1907, 2048 }, { 8, 1908, 2048 }, { 9, 1909, 2048 }, { 9, 1910, 2048 }, { 10, 1911, 2048 },
+ { 8, 1912, 2048 }, { 9, 1913, 2048 }, { 9, 1914, 2048 }, { 10, 1915, 2048 }, { 9, 1916, 2048 }, { 10, 1917, 2048 }, { 10, 1918, 2048 }, { 11, 1919, 2048 },
+ { 5, 1920, 2048 }, { 6, 1921, 2048 }, { 6, 1922, 2048 }, { 7, 1923, 2048 }, { 6, 1924, 2048 }, { 7, 1925, 2048 }, { 7, 1926, 2048 }, { 8, 1927, 2048 },
+ { 6, 1928, 2048 }, { 7, 1929, 2048 }, { 7, 1930, 2048 }, { 8, 1931, 2048 }, { 7, 1932, 2048 }, { 8, 1933, 2048 }, { 8, 1934, 2048 }, { 9, 1935, 2048 },
+ { 6, 1936, 2048 }, { 7, 1937, 2048 }, { 7, 1938, 2048 }, { 8, 1939, 2048 }, { 7, 1940, 2048 }, { 8, 1941, 2048 }, { 8, 1942, 2048 }, { 9, 1943, 2048 },
+ { 7, 1944, 2048 }, { 8, 1945, 2048 }, { 8, 1946, 2048 }, { 9, 1947, 2048 }, { 8, 1948, 2048 }, { 9, 1949, 2048 }, { 9, 1950, 2048 }, { 10, 1951, 2048 },
+ { 6, 1952, 2048 }, { 7, 1953, 2048 }, { 7, 1954, 2048 }, { 8, 1955, 2048 }, { 7, 1956, 2048 }, { 8, 1957, 2048 }, { 8, 1958, 2048 }, { 9, 1959, 2048 },
+ { 7, 1960, 2048 }, { 8, 1961, 2048 }, { 8, 1962, 2048 }, { 9, 1963, 2048 }, { 8, 1964, 2048 }, { 9, 1965, 2048 }, { 9, 1966, 2048 }, { 10, 1967, 2048 },
+ { 7, 1968, 2048 }, { 8, 1969, 2048 }, { 8, 1970, 2048 }, { 9, 1971, 2048 }, { 8, 1972, 2048 }, { 9, 1973, 2048 }, { 9, 1974, 2048 }, { 10, 1975, 2048 },
+ { 8, 1976, 2048 }, { 9, 1977, 2048 }, { 9, 1978, 2048 }, { 10, 1979, 2048 }, { 9, 1980, 2048 }, { 10, 1981, 2048 }, { 10, 1982, 2048 }, { 11, 1983, 2048 },
+ { 6, 1984, 2048 }, { 7, 1985, 2048 }, { 7, 1986, 2048 }, { 8, 1987, 2048 }, { 7, 1988, 2048 }, { 8, 1989, 2048 }, { 8, 1990, 2048 }, { 9, 1991, 2048 },
+ { 7, 1992, 2048 }, { 8, 1993, 2048 }, { 8, 1994, 2048 }, { 9, 1995, 2048 }, { 8, 1996, 2048 }, { 9, 1997, 2048 }, { 9, 1998, 2048 }, { 10, 1999, 2048 },
+ { 7, 2000, 2048 }, { 8, 2001, 2048 }, { 8, 2002, 2048 }, { 9, 2003, 2048 }, { 8, 2004, 2048 }, { 9, 2005, 2048 }, { 9, 2006, 2048 }, { 10, 2007, 2048 },
+ { 8, 2008, 2048 }, { 9, 2009, 2048 }, { 9, 2010, 2048 }, { 10, 2011, 2048 }, { 9, 2012, 2048 }, { 10, 2013, 2048 }, { 10, 2014, 2048 }, { 11, 2015, 2048 },
+ { 7, 2016, 2048 }, { 8, 2017, 2048 }, { 8, 2018, 2048 }, { 9, 2019, 2048 }, { 8, 2020, 2048 }, { 9, 2021, 2048 }, { 9, 2022, 2048 }, { 10, 2023, 2048 },
+ { 8, 2024, 2048 }, { 9, 2025, 2048 }, { 9, 2026, 2048 }, { 10, 2027, 2048 }, { 9, 2028, 2048 }, { 10, 2029, 2048 }, { 10, 2030, 2048 }, { 11, 2031, 2048 },
+ { 8, 2032, 2048 }, { 9, 2033, 2048 }, { 9, 2034, 2048 }, { 10, 2035, 2048 }, { 9, 2036, 2048 }, { 10, 2037, 2048 }, { 10, 2038, 2048 }, { 11, 2039, 2048 },
+ { 9, 2040, 2048 }, { 10, 2041, 2048 }, { 10, 2042, 2048 }, { 11, 2043, 2048 }, { 10, 2044, 2048 }, { 11, 2045, 2048 }, { 11, 2046, 2048 }, { 12, 2047, 2048 },
+#endif
+#endif
+#endif
+#endif
+#endif
+#endif
+};
+
+/* find a hole and free as required, return -1 if no hole found */
+static int find_hole(void)
+{
+ 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;
+}
+
+/* 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, 16)) != 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_TMP_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] = 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_TMP_BUFFER);
+#endif
+
+#undef KB_SIZE
+
+ return err;
+}
+
+#ifdef ECC_SHAMIR
+/* 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, 16)) != 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, 16)) != 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_TMP_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] = z;
+ ++x; --y;
+ }
+
+ /* store b */
+#ifdef WOLFSSL_SMALL_STACK
+ kb[1] = (unsigned char*)XMALLOC(KB_SIZE, NULL, DYNAMIC_TYPE_TMP_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] = 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_TMP_BUFFER);
+ XFREE(kb[1], NULL, DYNAMIC_TYPE_TMP_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 /* 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)
+{
+ int idx, err = MP_OKAY;
+ mp_digit mp;
+ mp_int mu;
+ int mpSetup = 0;
+
+ 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;
+}
+
+/* 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;
+ }
+ }
+}
+
+/** Free the Fixed Point cache */
+void wc_ecc_fp_free(void)
+{
+#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 /* 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 = 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;
+ 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_TMP_BUFFER);
+ if (sharedSecret == NULL)
+ return MEMORY_E;
+
+ keys = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ if (keys == NULL) {
+ XFREE(sharedSecret, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ return MEMORY_E;
+ }
+#endif
+
+ ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz);
+
+ if (ret == 0) {
+ switch (ctx->kdfAlgo) {
+ case ecHKDF_SHA256 :
+ ret = wc_HKDF(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);
+ }
+ 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, SHA256, macKey, 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_TMP_BUFFER);
+ XFREE(keys, NULL, DYNAMIC_TYPE_TMP_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;
+ 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_TMP_BUFFER);
+ if (sharedSecret == NULL)
+ return MEMORY_E;
+
+ keys = (byte*)XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ if (keys == NULL) {
+ XFREE(sharedSecret, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ return MEMORY_E;
+ }
+#endif
+
+ ret = wc_ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz);
+
+ if (ret == 0) {
+ switch (ctx->kdfAlgo) {
+ case ecHKDF_SHA256 :
+ ret = wc_HKDF(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[SHA256_DIGEST_SIZE];
+ Hmac hmac;
+
+ ret = wc_HmacInit(&hmac, NULL, INVALID_DEVID);
+ if (ret == 0) {
+ ret = wc_HmacSetKey(&hmac, SHA256, macKey, 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);
+ }
+ break;
+ #endif
+ default:
+ ret = BAD_FUNC_ARG;
+ break;
+ }
+ }
+
+ if (ret == 0)
+ *outSz = msgSz - digestSz;
+
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(sharedSecret, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+ XFREE(keys, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+
+ return ret;
+}
+
+
+#endif /* HAVE_ECC_ENCRYPT */
+
+
+#ifdef HAVE_COMP_KEY
+#ifndef WOLFSSL_ATECC508A
+
+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)
+{
+ 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 /* !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 ? 0x03 : 0x02;
+
+ /* 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 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_TMP_BUFFER);
+ if (hash == NULL)
+ return MEMORY_E;
+#endif
+
+ ret = wc_HashInit(hash, type);
+ if (ret != 0) {
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(hash, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#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_TMP_BUFFER);
+#endif
+ return ret;
+ }
+
+ ret = wc_HashUpdate(hash, type, counter, sizeof(counter));
+ if (ret != 0) {
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(hash, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+ return ret;
+ }
+
+ if (sinfo) {
+ ret = wc_HashUpdate(hash, type, sinfo, sinfoSz);
+ if (ret != 0) {
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(hash, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+ return ret;
+ }
+ }
+
+ ret = wc_HashFinal(hash, type, tmp);
+ if (ret != 0) {
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(hash, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+ return ret;
+ }
+
+ copySz = min(remaining, digestSz);
+ XMEMCPY(outIdx, tmp, copySz);
+
+ remaining -= copySz;
+ outIdx += copySz;
+ }
+
+#ifdef WOLFSSL_SMALL_STACK
+ XFREE(hash, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+#endif
+
+ return 0;
+}
+#endif /* HAVE_X963_KDF */
+
+#endif /* HAVE_ECC */
+