WNCInterface - The WDCInterface is is a drop-in replacement for …

Avnet » Code » WNCInterface

The WDCInterface is is a drop-in replacement for an EthernetInterface class that allows the user to connect to the Internet with a Wistron NeWeb Corporation (WNC) M14A2A Series data module using the standard network Socket API's. This interface class is used in the AT&T Cellular IoT Starter Kit which is sold by Avnet (http://cloudconnectkits.org/product/att-cellular-iot-starter-kit).

Dependencies: WncControllerK64F

Dependents: WNCProximityMqtt Pubnub_ATT_IoT_SK_WNC_sync BluemixDemo BluemixQS ... more

See the WNCInterface README in the Wiki tab for detailed information on this library.

mbedtls/source/ecp_curves.c@29:b278b745fb4f, 2017-03-24 (annotated)

Committer:: JMF
Date:: Fri Mar 24 22:26:23 2017 +0000
Revision:: 29:b278b745fb4f
Parent:: 12:0071cb144c7a

updated Class name of TCPSocketConnection to WncTCPSocketConnection;

Who changed what in which revision?

User	Revision	Line number	New contents of line
JMF	12:0071cb144c7a	1	/*
JMF	12:0071cb144c7a	2	* Elliptic curves over GF(p): curve-specific data and functions
JMF	12:0071cb144c7a	3	*
JMF	12:0071cb144c7a	4	* Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
JMF	12:0071cb144c7a	5	* SPDX-License-Identifier: Apache-2.0
JMF	12:0071cb144c7a	6	*
JMF	12:0071cb144c7a	7	* Licensed under the Apache License, Version 2.0 (the "License"); you may
JMF	12:0071cb144c7a	8	* not use this file except in compliance with the License.
JMF	12:0071cb144c7a	9	* You may obtain a copy of the License at
JMF	12:0071cb144c7a	10	*
JMF	12:0071cb144c7a	11	* http://www.apache.org/licenses/LICENSE-2.0
JMF	12:0071cb144c7a	12	*
JMF	12:0071cb144c7a	13	* Unless required by applicable law or agreed to in writing, software
JMF	12:0071cb144c7a	14	* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
JMF	12:0071cb144c7a	15	* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
JMF	12:0071cb144c7a	16	* See the License for the specific language governing permissions and
JMF	12:0071cb144c7a	17	* limitations under the License.
JMF	12:0071cb144c7a	18	*
JMF	12:0071cb144c7a	19	* This file is part of mbed TLS (https://tls.mbed.org)
JMF	12:0071cb144c7a	20	*/
JMF	12:0071cb144c7a	21
JMF	12:0071cb144c7a	22	#if !defined(MBEDTLS_CONFIG_FILE)
JMF	12:0071cb144c7a	23	#include "mbedtls/config.h"
JMF	12:0071cb144c7a	24	#else
JMF	12:0071cb144c7a	25	#include MBEDTLS_CONFIG_FILE
JMF	12:0071cb144c7a	26	#endif
JMF	12:0071cb144c7a	27
JMF	12:0071cb144c7a	28	#if defined(MBEDTLS_ECP_C)
JMF	12:0071cb144c7a	29
JMF	12:0071cb144c7a	30	#include "mbedtls/ecp.h"
JMF	12:0071cb144c7a	31
JMF	12:0071cb144c7a	32	#include <string.h>
JMF	12:0071cb144c7a	33
JMF	12:0071cb144c7a	34	#if ( defined(__ARMCC_VERSION) \|\| defined(_MSC_VER) ) && \
JMF	12:0071cb144c7a	35	!defined(inline) && !defined(__cplusplus)
JMF	12:0071cb144c7a	36	#define inline __inline
JMF	12:0071cb144c7a	37	#endif
JMF	12:0071cb144c7a	38
JMF	12:0071cb144c7a	39	/*
JMF	12:0071cb144c7a	40	* Conversion macros for embedded constants:
JMF	12:0071cb144c7a	41	* build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
JMF	12:0071cb144c7a	42	*/
JMF	12:0071cb144c7a	43	#if defined(MBEDTLS_HAVE_INT32)
JMF	12:0071cb144c7a	44
JMF	12:0071cb144c7a	45	#define BYTES_TO_T_UINT_4( a, b, c, d ) \
JMF	12:0071cb144c7a	46	( (mbedtls_mpi_uint) a << 0 ) \| \
JMF	12:0071cb144c7a	47	( (mbedtls_mpi_uint) b << 8 ) \| \
JMF	12:0071cb144c7a	48	( (mbedtls_mpi_uint) c << 16 ) \| \
JMF	12:0071cb144c7a	49	( (mbedtls_mpi_uint) d << 24 )
JMF	12:0071cb144c7a	50
JMF	12:0071cb144c7a	51	#define BYTES_TO_T_UINT_2( a, b ) \
JMF	12:0071cb144c7a	52	BYTES_TO_T_UINT_4( a, b, 0, 0 )
JMF	12:0071cb144c7a	53
JMF	12:0071cb144c7a	54	#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
JMF	12:0071cb144c7a	55	BYTES_TO_T_UINT_4( a, b, c, d ), \
JMF	12:0071cb144c7a	56	BYTES_TO_T_UINT_4( e, f, g, h )
JMF	12:0071cb144c7a	57
JMF	12:0071cb144c7a	58	#else /* 64-bits */
JMF	12:0071cb144c7a	59
JMF	12:0071cb144c7a	60	#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
JMF	12:0071cb144c7a	61	( (mbedtls_mpi_uint) a << 0 ) \| \
JMF	12:0071cb144c7a	62	( (mbedtls_mpi_uint) b << 8 ) \| \
JMF	12:0071cb144c7a	63	( (mbedtls_mpi_uint) c << 16 ) \| \
JMF	12:0071cb144c7a	64	( (mbedtls_mpi_uint) d << 24 ) \| \
JMF	12:0071cb144c7a	65	( (mbedtls_mpi_uint) e << 32 ) \| \
JMF	12:0071cb144c7a	66	( (mbedtls_mpi_uint) f << 40 ) \| \
JMF	12:0071cb144c7a	67	( (mbedtls_mpi_uint) g << 48 ) \| \
JMF	12:0071cb144c7a	68	( (mbedtls_mpi_uint) h << 56 )
JMF	12:0071cb144c7a	69
JMF	12:0071cb144c7a	70	#define BYTES_TO_T_UINT_4( a, b, c, d ) \
JMF	12:0071cb144c7a	71	BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
JMF	12:0071cb144c7a	72
JMF	12:0071cb144c7a	73	#define BYTES_TO_T_UINT_2( a, b ) \
JMF	12:0071cb144c7a	74	BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
JMF	12:0071cb144c7a	75
JMF	12:0071cb144c7a	76	#endif /* bits in mbedtls_mpi_uint */
JMF	12:0071cb144c7a	77
JMF	12:0071cb144c7a	78	/*
JMF	12:0071cb144c7a	79	* Note: the constants are in little-endian order
JMF	12:0071cb144c7a	80	* to be directly usable in MPIs
JMF	12:0071cb144c7a	81	*/
JMF	12:0071cb144c7a	82
JMF	12:0071cb144c7a	83	/*
JMF	12:0071cb144c7a	84	* Domain parameters for secp192r1
JMF	12:0071cb144c7a	85	*/
JMF	12:0071cb144c7a	86	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
JMF	12:0071cb144c7a	87	static const mbedtls_mpi_uint secp192r1_p[] = {
JMF	12:0071cb144c7a	88	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	89	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	90	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	91	};
JMF	12:0071cb144c7a	92	static const mbedtls_mpi_uint secp192r1_b[] = {
JMF	12:0071cb144c7a	93	BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
JMF	12:0071cb144c7a	94	BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
JMF	12:0071cb144c7a	95	BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
JMF	12:0071cb144c7a	96	};
JMF	12:0071cb144c7a	97	static const mbedtls_mpi_uint secp192r1_gx[] = {
JMF	12:0071cb144c7a	98	BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
JMF	12:0071cb144c7a	99	BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
JMF	12:0071cb144c7a	100	BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
JMF	12:0071cb144c7a	101	};
JMF	12:0071cb144c7a	102	static const mbedtls_mpi_uint secp192r1_gy[] = {
JMF	12:0071cb144c7a	103	BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
JMF	12:0071cb144c7a	104	BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
JMF	12:0071cb144c7a	105	BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
JMF	12:0071cb144c7a	106	};
JMF	12:0071cb144c7a	107	static const mbedtls_mpi_uint secp192r1_n[] = {
JMF	12:0071cb144c7a	108	BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
JMF	12:0071cb144c7a	109	BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	110	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	111	};
JMF	12:0071cb144c7a	112	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
JMF	12:0071cb144c7a	113
JMF	12:0071cb144c7a	114	/*
JMF	12:0071cb144c7a	115	* Domain parameters for secp224r1
JMF	12:0071cb144c7a	116	*/
JMF	12:0071cb144c7a	117	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
JMF	12:0071cb144c7a	118	static const mbedtls_mpi_uint secp224r1_p[] = {
JMF	12:0071cb144c7a	119	BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	120	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	121	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	122	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	123	};
JMF	12:0071cb144c7a	124	static const mbedtls_mpi_uint secp224r1_b[] = {
JMF	12:0071cb144c7a	125	BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
JMF	12:0071cb144c7a	126	BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
JMF	12:0071cb144c7a	127	BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
JMF	12:0071cb144c7a	128	BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
JMF	12:0071cb144c7a	129	};
JMF	12:0071cb144c7a	130	static const mbedtls_mpi_uint secp224r1_gx[] = {
JMF	12:0071cb144c7a	131	BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
JMF	12:0071cb144c7a	132	BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
JMF	12:0071cb144c7a	133	BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
JMF	12:0071cb144c7a	134	BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
JMF	12:0071cb144c7a	135	};
JMF	12:0071cb144c7a	136	static const mbedtls_mpi_uint secp224r1_gy[] = {
JMF	12:0071cb144c7a	137	BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
JMF	12:0071cb144c7a	138	BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
JMF	12:0071cb144c7a	139	BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
JMF	12:0071cb144c7a	140	BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
JMF	12:0071cb144c7a	141	};
JMF	12:0071cb144c7a	142	static const mbedtls_mpi_uint secp224r1_n[] = {
JMF	12:0071cb144c7a	143	BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
JMF	12:0071cb144c7a	144	BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	145	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	146	BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	147	};
JMF	12:0071cb144c7a	148	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
JMF	12:0071cb144c7a	149
JMF	12:0071cb144c7a	150	/*
JMF	12:0071cb144c7a	151	* Domain parameters for secp256r1
JMF	12:0071cb144c7a	152	*/
JMF	12:0071cb144c7a	153	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
JMF	12:0071cb144c7a	154	static const mbedtls_mpi_uint secp256r1_p[] = {
JMF	12:0071cb144c7a	155	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	156	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	157	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	158	BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	159	};
JMF	12:0071cb144c7a	160	static const mbedtls_mpi_uint secp256r1_b[] = {
JMF	12:0071cb144c7a	161	BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
JMF	12:0071cb144c7a	162	BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
JMF	12:0071cb144c7a	163	BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
JMF	12:0071cb144c7a	164	BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
JMF	12:0071cb144c7a	165	};
JMF	12:0071cb144c7a	166	static const mbedtls_mpi_uint secp256r1_gx[] = {
JMF	12:0071cb144c7a	167	BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
JMF	12:0071cb144c7a	168	BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
JMF	12:0071cb144c7a	169	BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
JMF	12:0071cb144c7a	170	BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
JMF	12:0071cb144c7a	171	};
JMF	12:0071cb144c7a	172	static const mbedtls_mpi_uint secp256r1_gy[] = {
JMF	12:0071cb144c7a	173	BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
JMF	12:0071cb144c7a	174	BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
JMF	12:0071cb144c7a	175	BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
JMF	12:0071cb144c7a	176	BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
JMF	12:0071cb144c7a	177	};
JMF	12:0071cb144c7a	178	static const mbedtls_mpi_uint secp256r1_n[] = {
JMF	12:0071cb144c7a	179	BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
JMF	12:0071cb144c7a	180	BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
JMF	12:0071cb144c7a	181	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	182	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	183	};
JMF	12:0071cb144c7a	184	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
JMF	12:0071cb144c7a	185
JMF	12:0071cb144c7a	186	/*
JMF	12:0071cb144c7a	187	* Domain parameters for secp384r1
JMF	12:0071cb144c7a	188	*/
JMF	12:0071cb144c7a	189	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
JMF	12:0071cb144c7a	190	static const mbedtls_mpi_uint secp384r1_p[] = {
JMF	12:0071cb144c7a	191	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	192	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	193	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	194	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	195	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	196	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	197	};
JMF	12:0071cb144c7a	198	static const mbedtls_mpi_uint secp384r1_b[] = {
JMF	12:0071cb144c7a	199	BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
JMF	12:0071cb144c7a	200	BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
JMF	12:0071cb144c7a	201	BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
JMF	12:0071cb144c7a	202	BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
JMF	12:0071cb144c7a	203	BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
JMF	12:0071cb144c7a	204	BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
JMF	12:0071cb144c7a	205	};
JMF	12:0071cb144c7a	206	static const mbedtls_mpi_uint secp384r1_gx[] = {
JMF	12:0071cb144c7a	207	BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
JMF	12:0071cb144c7a	208	BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
JMF	12:0071cb144c7a	209	BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
JMF	12:0071cb144c7a	210	BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
JMF	12:0071cb144c7a	211	BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
JMF	12:0071cb144c7a	212	BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
JMF	12:0071cb144c7a	213	};
JMF	12:0071cb144c7a	214	static const mbedtls_mpi_uint secp384r1_gy[] = {
JMF	12:0071cb144c7a	215	BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
JMF	12:0071cb144c7a	216	BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
JMF	12:0071cb144c7a	217	BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
JMF	12:0071cb144c7a	218	BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
JMF	12:0071cb144c7a	219	BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
JMF	12:0071cb144c7a	220	BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
JMF	12:0071cb144c7a	221	};
JMF	12:0071cb144c7a	222	static const mbedtls_mpi_uint secp384r1_n[] = {
JMF	12:0071cb144c7a	223	BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
JMF	12:0071cb144c7a	224	BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
JMF	12:0071cb144c7a	225	BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
JMF	12:0071cb144c7a	226	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	227	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	228	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	229	};
JMF	12:0071cb144c7a	230	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
JMF	12:0071cb144c7a	231
JMF	12:0071cb144c7a	232	/*
JMF	12:0071cb144c7a	233	* Domain parameters for secp521r1
JMF	12:0071cb144c7a	234	*/
JMF	12:0071cb144c7a	235	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
JMF	12:0071cb144c7a	236	static const mbedtls_mpi_uint secp521r1_p[] = {
JMF	12:0071cb144c7a	237	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	238	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	239	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	240	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	241	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	242	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	243	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	244	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	245	BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
JMF	12:0071cb144c7a	246	};
JMF	12:0071cb144c7a	247	static const mbedtls_mpi_uint secp521r1_b[] = {
JMF	12:0071cb144c7a	248	BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
JMF	12:0071cb144c7a	249	BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
JMF	12:0071cb144c7a	250	BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
JMF	12:0071cb144c7a	251	BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
JMF	12:0071cb144c7a	252	BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
JMF	12:0071cb144c7a	253	BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
JMF	12:0071cb144c7a	254	BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
JMF	12:0071cb144c7a	255	BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
JMF	12:0071cb144c7a	256	BYTES_TO_T_UINT_2( 0x51, 0x00 ),
JMF	12:0071cb144c7a	257	};
JMF	12:0071cb144c7a	258	static const mbedtls_mpi_uint secp521r1_gx[] = {
JMF	12:0071cb144c7a	259	BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
JMF	12:0071cb144c7a	260	BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
JMF	12:0071cb144c7a	261	BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
JMF	12:0071cb144c7a	262	BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
JMF	12:0071cb144c7a	263	BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
JMF	12:0071cb144c7a	264	BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
JMF	12:0071cb144c7a	265	BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
JMF	12:0071cb144c7a	266	BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
JMF	12:0071cb144c7a	267	BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
JMF	12:0071cb144c7a	268	};
JMF	12:0071cb144c7a	269	static const mbedtls_mpi_uint secp521r1_gy[] = {
JMF	12:0071cb144c7a	270	BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
JMF	12:0071cb144c7a	271	BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
JMF	12:0071cb144c7a	272	BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
JMF	12:0071cb144c7a	273	BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
JMF	12:0071cb144c7a	274	BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
JMF	12:0071cb144c7a	275	BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
JMF	12:0071cb144c7a	276	BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
JMF	12:0071cb144c7a	277	BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
JMF	12:0071cb144c7a	278	BYTES_TO_T_UINT_2( 0x18, 0x01 ),
JMF	12:0071cb144c7a	279	};
JMF	12:0071cb144c7a	280	static const mbedtls_mpi_uint secp521r1_n[] = {
JMF	12:0071cb144c7a	281	BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
JMF	12:0071cb144c7a	282	BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
JMF	12:0071cb144c7a	283	BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
JMF	12:0071cb144c7a	284	BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
JMF	12:0071cb144c7a	285	BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	286	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	287	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	288	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	289	BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
JMF	12:0071cb144c7a	290	};
JMF	12:0071cb144c7a	291	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
JMF	12:0071cb144c7a	292
JMF	12:0071cb144c7a	293	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
JMF	12:0071cb144c7a	294	static const mbedtls_mpi_uint secp192k1_p[] = {
JMF	12:0071cb144c7a	295	BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	296	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	297	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	298	};
JMF	12:0071cb144c7a	299	static const mbedtls_mpi_uint secp192k1_a[] = {
JMF	12:0071cb144c7a	300	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
JMF	12:0071cb144c7a	301	};
JMF	12:0071cb144c7a	302	static const mbedtls_mpi_uint secp192k1_b[] = {
JMF	12:0071cb144c7a	303	BYTES_TO_T_UINT_2( 0x03, 0x00 ),
JMF	12:0071cb144c7a	304	};
JMF	12:0071cb144c7a	305	static const mbedtls_mpi_uint secp192k1_gx[] = {
JMF	12:0071cb144c7a	306	BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
JMF	12:0071cb144c7a	307	BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
JMF	12:0071cb144c7a	308	BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
JMF	12:0071cb144c7a	309	};
JMF	12:0071cb144c7a	310	static const mbedtls_mpi_uint secp192k1_gy[] = {
JMF	12:0071cb144c7a	311	BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
JMF	12:0071cb144c7a	312	BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
JMF	12:0071cb144c7a	313	BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
JMF	12:0071cb144c7a	314	};
JMF	12:0071cb144c7a	315	static const mbedtls_mpi_uint secp192k1_n[] = {
JMF	12:0071cb144c7a	316	BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
JMF	12:0071cb144c7a	317	BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	318	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	319	};
JMF	12:0071cb144c7a	320	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
JMF	12:0071cb144c7a	321
JMF	12:0071cb144c7a	322	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
JMF	12:0071cb144c7a	323	static const mbedtls_mpi_uint secp224k1_p[] = {
JMF	12:0071cb144c7a	324	BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	325	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	326	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	327	BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	328	};
JMF	12:0071cb144c7a	329	static const mbedtls_mpi_uint secp224k1_a[] = {
JMF	12:0071cb144c7a	330	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
JMF	12:0071cb144c7a	331	};
JMF	12:0071cb144c7a	332	static const mbedtls_mpi_uint secp224k1_b[] = {
JMF	12:0071cb144c7a	333	BYTES_TO_T_UINT_2( 0x05, 0x00 ),
JMF	12:0071cb144c7a	334	};
JMF	12:0071cb144c7a	335	static const mbedtls_mpi_uint secp224k1_gx[] = {
JMF	12:0071cb144c7a	336	BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
JMF	12:0071cb144c7a	337	BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
JMF	12:0071cb144c7a	338	BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
JMF	12:0071cb144c7a	339	BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
JMF	12:0071cb144c7a	340	};
JMF	12:0071cb144c7a	341	static const mbedtls_mpi_uint secp224k1_gy[] = {
JMF	12:0071cb144c7a	342	BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
JMF	12:0071cb144c7a	343	BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
JMF	12:0071cb144c7a	344	BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
JMF	12:0071cb144c7a	345	BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
JMF	12:0071cb144c7a	346	};
JMF	12:0071cb144c7a	347	static const mbedtls_mpi_uint secp224k1_n[] = {
JMF	12:0071cb144c7a	348	BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
JMF	12:0071cb144c7a	349	BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
JMF	12:0071cb144c7a	350	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	351	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
JMF	12:0071cb144c7a	352	};
JMF	12:0071cb144c7a	353	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
JMF	12:0071cb144c7a	354
JMF	12:0071cb144c7a	355	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
JMF	12:0071cb144c7a	356	static const mbedtls_mpi_uint secp256k1_p[] = {
JMF	12:0071cb144c7a	357	BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	358	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	359	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	360	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	361	};
JMF	12:0071cb144c7a	362	static const mbedtls_mpi_uint secp256k1_a[] = {
JMF	12:0071cb144c7a	363	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
JMF	12:0071cb144c7a	364	};
JMF	12:0071cb144c7a	365	static const mbedtls_mpi_uint secp256k1_b[] = {
JMF	12:0071cb144c7a	366	BYTES_TO_T_UINT_2( 0x07, 0x00 ),
JMF	12:0071cb144c7a	367	};
JMF	12:0071cb144c7a	368	static const mbedtls_mpi_uint secp256k1_gx[] = {
JMF	12:0071cb144c7a	369	BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
JMF	12:0071cb144c7a	370	BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
JMF	12:0071cb144c7a	371	BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
JMF	12:0071cb144c7a	372	BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
JMF	12:0071cb144c7a	373	};
JMF	12:0071cb144c7a	374	static const mbedtls_mpi_uint secp256k1_gy[] = {
JMF	12:0071cb144c7a	375	BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
JMF	12:0071cb144c7a	376	BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
JMF	12:0071cb144c7a	377	BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
JMF	12:0071cb144c7a	378	BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
JMF	12:0071cb144c7a	379	};
JMF	12:0071cb144c7a	380	static const mbedtls_mpi_uint secp256k1_n[] = {
JMF	12:0071cb144c7a	381	BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
JMF	12:0071cb144c7a	382	BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
JMF	12:0071cb144c7a	383	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	384	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
JMF	12:0071cb144c7a	385	};
JMF	12:0071cb144c7a	386	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
JMF	12:0071cb144c7a	387
JMF	12:0071cb144c7a	388	/*
JMF	12:0071cb144c7a	389	* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
JMF	12:0071cb144c7a	390	*/
JMF	12:0071cb144c7a	391	#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
JMF	12:0071cb144c7a	392	static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
JMF	12:0071cb144c7a	393	BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
JMF	12:0071cb144c7a	394	BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
JMF	12:0071cb144c7a	395	BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
JMF	12:0071cb144c7a	396	BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
JMF	12:0071cb144c7a	397	};
JMF	12:0071cb144c7a	398	static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
JMF	12:0071cb144c7a	399	BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
JMF	12:0071cb144c7a	400	BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
JMF	12:0071cb144c7a	401	BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
JMF	12:0071cb144c7a	402	BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
JMF	12:0071cb144c7a	403	};
JMF	12:0071cb144c7a	404	static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
JMF	12:0071cb144c7a	405	BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
JMF	12:0071cb144c7a	406	BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
JMF	12:0071cb144c7a	407	BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
JMF	12:0071cb144c7a	408	BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
JMF	12:0071cb144c7a	409	};
JMF	12:0071cb144c7a	410	static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
JMF	12:0071cb144c7a	411	BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
JMF	12:0071cb144c7a	412	BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
JMF	12:0071cb144c7a	413	BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
JMF	12:0071cb144c7a	414	BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
JMF	12:0071cb144c7a	415	};
JMF	12:0071cb144c7a	416	static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
JMF	12:0071cb144c7a	417	BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
JMF	12:0071cb144c7a	418	BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
JMF	12:0071cb144c7a	419	BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
JMF	12:0071cb144c7a	420	BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
JMF	12:0071cb144c7a	421	};
JMF	12:0071cb144c7a	422	static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
JMF	12:0071cb144c7a	423	BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
JMF	12:0071cb144c7a	424	BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
JMF	12:0071cb144c7a	425	BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
JMF	12:0071cb144c7a	426	BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
JMF	12:0071cb144c7a	427	};
JMF	12:0071cb144c7a	428	#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
JMF	12:0071cb144c7a	429
JMF	12:0071cb144c7a	430	/*
JMF	12:0071cb144c7a	431	* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
JMF	12:0071cb144c7a	432	*/
JMF	12:0071cb144c7a	433	#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
JMF	12:0071cb144c7a	434	static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
JMF	12:0071cb144c7a	435	BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
JMF	12:0071cb144c7a	436	BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
JMF	12:0071cb144c7a	437	BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
JMF	12:0071cb144c7a	438	BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
JMF	12:0071cb144c7a	439	BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
JMF	12:0071cb144c7a	440	BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
JMF	12:0071cb144c7a	441	};
JMF	12:0071cb144c7a	442	static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
JMF	12:0071cb144c7a	443	BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
JMF	12:0071cb144c7a	444	BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
JMF	12:0071cb144c7a	445	BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
JMF	12:0071cb144c7a	446	BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
JMF	12:0071cb144c7a	447	BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
JMF	12:0071cb144c7a	448	BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
JMF	12:0071cb144c7a	449	};
JMF	12:0071cb144c7a	450	static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
JMF	12:0071cb144c7a	451	BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
JMF	12:0071cb144c7a	452	BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
JMF	12:0071cb144c7a	453	BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
JMF	12:0071cb144c7a	454	BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
JMF	12:0071cb144c7a	455	BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
JMF	12:0071cb144c7a	456	BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
JMF	12:0071cb144c7a	457	};
JMF	12:0071cb144c7a	458	static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
JMF	12:0071cb144c7a	459	BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
JMF	12:0071cb144c7a	460	BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
JMF	12:0071cb144c7a	461	BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
JMF	12:0071cb144c7a	462	BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
JMF	12:0071cb144c7a	463	BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
JMF	12:0071cb144c7a	464	BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
JMF	12:0071cb144c7a	465	};
JMF	12:0071cb144c7a	466	static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
JMF	12:0071cb144c7a	467	BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
JMF	12:0071cb144c7a	468	BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
JMF	12:0071cb144c7a	469	BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
JMF	12:0071cb144c7a	470	BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
JMF	12:0071cb144c7a	471	BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
JMF	12:0071cb144c7a	472	BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
JMF	12:0071cb144c7a	473	};
JMF	12:0071cb144c7a	474	static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
JMF	12:0071cb144c7a	475	BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
JMF	12:0071cb144c7a	476	BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
JMF	12:0071cb144c7a	477	BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
JMF	12:0071cb144c7a	478	BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
JMF	12:0071cb144c7a	479	BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
JMF	12:0071cb144c7a	480	BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
JMF	12:0071cb144c7a	481	};
JMF	12:0071cb144c7a	482	#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
JMF	12:0071cb144c7a	483
JMF	12:0071cb144c7a	484	/*
JMF	12:0071cb144c7a	485	* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
JMF	12:0071cb144c7a	486	*/
JMF	12:0071cb144c7a	487	#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
JMF	12:0071cb144c7a	488	static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
JMF	12:0071cb144c7a	489	BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
JMF	12:0071cb144c7a	490	BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
JMF	12:0071cb144c7a	491	BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
JMF	12:0071cb144c7a	492	BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
JMF	12:0071cb144c7a	493	BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
JMF	12:0071cb144c7a	494	BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
JMF	12:0071cb144c7a	495	BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
JMF	12:0071cb144c7a	496	BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
JMF	12:0071cb144c7a	497	};
JMF	12:0071cb144c7a	498	static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
JMF	12:0071cb144c7a	499	BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
JMF	12:0071cb144c7a	500	BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
JMF	12:0071cb144c7a	501	BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
JMF	12:0071cb144c7a	502	BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
JMF	12:0071cb144c7a	503	BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
JMF	12:0071cb144c7a	504	BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
JMF	12:0071cb144c7a	505	BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
JMF	12:0071cb144c7a	506	BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
JMF	12:0071cb144c7a	507	};
JMF	12:0071cb144c7a	508	static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
JMF	12:0071cb144c7a	509	BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
JMF	12:0071cb144c7a	510	BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
JMF	12:0071cb144c7a	511	BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
JMF	12:0071cb144c7a	512	BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
JMF	12:0071cb144c7a	513	BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
JMF	12:0071cb144c7a	514	BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
JMF	12:0071cb144c7a	515	BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
JMF	12:0071cb144c7a	516	BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
JMF	12:0071cb144c7a	517	};
JMF	12:0071cb144c7a	518	static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
JMF	12:0071cb144c7a	519	BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
JMF	12:0071cb144c7a	520	BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
JMF	12:0071cb144c7a	521	BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
JMF	12:0071cb144c7a	522	BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
JMF	12:0071cb144c7a	523	BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
JMF	12:0071cb144c7a	524	BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
JMF	12:0071cb144c7a	525	BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
JMF	12:0071cb144c7a	526	BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
JMF	12:0071cb144c7a	527	};
JMF	12:0071cb144c7a	528	static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
JMF	12:0071cb144c7a	529	BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
JMF	12:0071cb144c7a	530	BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
JMF	12:0071cb144c7a	531	BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
JMF	12:0071cb144c7a	532	BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
JMF	12:0071cb144c7a	533	BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
JMF	12:0071cb144c7a	534	BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
JMF	12:0071cb144c7a	535	BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
JMF	12:0071cb144c7a	536	BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
JMF	12:0071cb144c7a	537	};
JMF	12:0071cb144c7a	538	static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
JMF	12:0071cb144c7a	539	BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
JMF	12:0071cb144c7a	540	BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
JMF	12:0071cb144c7a	541	BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
JMF	12:0071cb144c7a	542	BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
JMF	12:0071cb144c7a	543	BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
JMF	12:0071cb144c7a	544	BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
JMF	12:0071cb144c7a	545	BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
JMF	12:0071cb144c7a	546	BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
JMF	12:0071cb144c7a	547	};
JMF	12:0071cb144c7a	548	#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
JMF	12:0071cb144c7a	549
JMF	12:0071cb144c7a	550	/*
JMF	12:0071cb144c7a	551	* Create an MPI from embedded constants
JMF	12:0071cb144c7a	552	* (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
JMF	12:0071cb144c7a	553	*/
JMF	12:0071cb144c7a	554	static inline void ecp_mpi_load( mbedtls_mpi X, const mbedtls_mpi_uint p, size_t len )
JMF	12:0071cb144c7a	555	{
JMF	12:0071cb144c7a	556	X->s = 1;
JMF	12:0071cb144c7a	557	X->n = len / sizeof( mbedtls_mpi_uint );
JMF	12:0071cb144c7a	558	X->p = (mbedtls_mpi_uint *) p;
JMF	12:0071cb144c7a	559	}
JMF	12:0071cb144c7a	560
JMF	12:0071cb144c7a	561	/*
JMF	12:0071cb144c7a	562	* Set an MPI to static value 1
JMF	12:0071cb144c7a	563	*/
JMF	12:0071cb144c7a	564	static inline void ecp_mpi_set1( mbedtls_mpi *X )
JMF	12:0071cb144c7a	565	{
JMF	12:0071cb144c7a	566	static mbedtls_mpi_uint one[] = { 1 };
JMF	12:0071cb144c7a	567	X->s = 1;
JMF	12:0071cb144c7a	568	X->n = 1;
JMF	12:0071cb144c7a	569	X->p = one;
JMF	12:0071cb144c7a	570	}
JMF	12:0071cb144c7a	571
JMF	12:0071cb144c7a	572	/*
JMF	12:0071cb144c7a	573	* Make group available from embedded constants
JMF	12:0071cb144c7a	574	*/
JMF	12:0071cb144c7a	575	static int ecp_group_load( mbedtls_ecp_group *grp,
JMF	12:0071cb144c7a	576	const mbedtls_mpi_uint *p, size_t plen,
JMF	12:0071cb144c7a	577	const mbedtls_mpi_uint *a, size_t alen,
JMF	12:0071cb144c7a	578	const mbedtls_mpi_uint *b, size_t blen,
JMF	12:0071cb144c7a	579	const mbedtls_mpi_uint *gx, size_t gxlen,
JMF	12:0071cb144c7a	580	const mbedtls_mpi_uint *gy, size_t gylen,
JMF	12:0071cb144c7a	581	const mbedtls_mpi_uint *n, size_t nlen)
JMF	12:0071cb144c7a	582	{
JMF	12:0071cb144c7a	583	ecp_mpi_load( &grp->P, p, plen );
JMF	12:0071cb144c7a	584	if( a != NULL )
JMF	12:0071cb144c7a	585	ecp_mpi_load( &grp->A, a, alen );
JMF	12:0071cb144c7a	586	ecp_mpi_load( &grp->B, b, blen );
JMF	12:0071cb144c7a	587	ecp_mpi_load( &grp->N, n, nlen );
JMF	12:0071cb144c7a	588
JMF	12:0071cb144c7a	589	ecp_mpi_load( &grp->G.X, gx, gxlen );
JMF	12:0071cb144c7a	590	ecp_mpi_load( &grp->G.Y, gy, gylen );
JMF	12:0071cb144c7a	591	ecp_mpi_set1( &grp->G.Z );
JMF	12:0071cb144c7a	592
JMF	12:0071cb144c7a	593	grp->pbits = mbedtls_mpi_bitlen( &grp->P );
JMF	12:0071cb144c7a	594	grp->nbits = mbedtls_mpi_bitlen( &grp->N );
JMF	12:0071cb144c7a	595
JMF	12:0071cb144c7a	596	grp->h = 1;
JMF	12:0071cb144c7a	597
JMF	12:0071cb144c7a	598	return( 0 );
JMF	12:0071cb144c7a	599	}
JMF	12:0071cb144c7a	600
JMF	12:0071cb144c7a	601	#if defined(MBEDTLS_ECP_NIST_OPTIM)
JMF	12:0071cb144c7a	602	/* Forward declarations */
JMF	12:0071cb144c7a	603	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
JMF	12:0071cb144c7a	604	static int ecp_mod_p192( mbedtls_mpi * );
JMF	12:0071cb144c7a	605	#endif
JMF	12:0071cb144c7a	606	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
JMF	12:0071cb144c7a	607	static int ecp_mod_p224( mbedtls_mpi * );
JMF	12:0071cb144c7a	608	#endif
JMF	12:0071cb144c7a	609	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
JMF	12:0071cb144c7a	610	static int ecp_mod_p256( mbedtls_mpi * );
JMF	12:0071cb144c7a	611	#endif
JMF	12:0071cb144c7a	612	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
JMF	12:0071cb144c7a	613	static int ecp_mod_p384( mbedtls_mpi * );
JMF	12:0071cb144c7a	614	#endif
JMF	12:0071cb144c7a	615	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
JMF	12:0071cb144c7a	616	static int ecp_mod_p521( mbedtls_mpi * );
JMF	12:0071cb144c7a	617	#endif
JMF	12:0071cb144c7a	618
JMF	12:0071cb144c7a	619	#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
JMF	12:0071cb144c7a	620	#else
JMF	12:0071cb144c7a	621	#define NIST_MODP( P )
JMF	12:0071cb144c7a	622	#endif /* MBEDTLS_ECP_NIST_OPTIM */
JMF	12:0071cb144c7a	623
JMF	12:0071cb144c7a	624	/* Additional forward declarations */
JMF	12:0071cb144c7a	625	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
JMF	12:0071cb144c7a	626	static int ecp_mod_p255( mbedtls_mpi * );
JMF	12:0071cb144c7a	627	#endif
JMF	12:0071cb144c7a	628	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
JMF	12:0071cb144c7a	629	static int ecp_mod_p192k1( mbedtls_mpi * );
JMF	12:0071cb144c7a	630	#endif
JMF	12:0071cb144c7a	631	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
JMF	12:0071cb144c7a	632	static int ecp_mod_p224k1( mbedtls_mpi * );
JMF	12:0071cb144c7a	633	#endif
JMF	12:0071cb144c7a	634	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
JMF	12:0071cb144c7a	635	static int ecp_mod_p256k1( mbedtls_mpi * );
JMF	12:0071cb144c7a	636	#endif
JMF	12:0071cb144c7a	637
JMF	12:0071cb144c7a	638	#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
JMF	12:0071cb144c7a	639	G ## _p, sizeof( G ## _p ), \
JMF	12:0071cb144c7a	640	G ## _a, sizeof( G ## _a ), \
JMF	12:0071cb144c7a	641	G ## _b, sizeof( G ## _b ), \
JMF	12:0071cb144c7a	642	G ## _gx, sizeof( G ## _gx ), \
JMF	12:0071cb144c7a	643	G ## _gy, sizeof( G ## _gy ), \
JMF	12:0071cb144c7a	644	G ## _n, sizeof( G ## _n ) )
JMF	12:0071cb144c7a	645
JMF	12:0071cb144c7a	646	#define LOAD_GROUP( G ) ecp_group_load( grp, \
JMF	12:0071cb144c7a	647	G ## _p, sizeof( G ## _p ), \
JMF	12:0071cb144c7a	648	NULL, 0, \
JMF	12:0071cb144c7a	649	G ## _b, sizeof( G ## _b ), \
JMF	12:0071cb144c7a	650	G ## _gx, sizeof( G ## _gx ), \
JMF	12:0071cb144c7a	651	G ## _gy, sizeof( G ## _gy ), \
JMF	12:0071cb144c7a	652	G ## _n, sizeof( G ## _n ) )
JMF	12:0071cb144c7a	653
JMF	12:0071cb144c7a	654	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
JMF	12:0071cb144c7a	655	/*
JMF	12:0071cb144c7a	656	* Specialized function for creating the Curve25519 group
JMF	12:0071cb144c7a	657	*/
JMF	12:0071cb144c7a	658	static int ecp_use_curve25519( mbedtls_ecp_group *grp )
JMF	12:0071cb144c7a	659	{
JMF	12:0071cb144c7a	660	int ret;
JMF	12:0071cb144c7a	661
JMF	12:0071cb144c7a	662	/* Actually ( A + 2 ) / 4 */
JMF	12:0071cb144c7a	663	MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
JMF	12:0071cb144c7a	664
JMF	12:0071cb144c7a	665	/* P = 2^255 - 19 */
JMF	12:0071cb144c7a	666	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
JMF	12:0071cb144c7a	667	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
JMF	12:0071cb144c7a	668	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
JMF	12:0071cb144c7a	669	grp->pbits = mbedtls_mpi_bitlen( &grp->P );
JMF	12:0071cb144c7a	670
JMF	12:0071cb144c7a	671	/* Y intentionaly not set, since we use x/z coordinates.
JMF	12:0071cb144c7a	672	* This is used as a marker to identify Montgomery curves! */
JMF	12:0071cb144c7a	673	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
JMF	12:0071cb144c7a	674	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
JMF	12:0071cb144c7a	675	mbedtls_mpi_free( &grp->G.Y );
JMF	12:0071cb144c7a	676
JMF	12:0071cb144c7a	677	/* Actually, the required msb for private keys */
JMF	12:0071cb144c7a	678	grp->nbits = 254;
JMF	12:0071cb144c7a	679
JMF	12:0071cb144c7a	680	cleanup:
JMF	12:0071cb144c7a	681	if( ret != 0 )
JMF	12:0071cb144c7a	682	mbedtls_ecp_group_free( grp );
JMF	12:0071cb144c7a	683
JMF	12:0071cb144c7a	684	return( ret );
JMF	12:0071cb144c7a	685	}
JMF	12:0071cb144c7a	686	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
JMF	12:0071cb144c7a	687
JMF	12:0071cb144c7a	688	/*
JMF	12:0071cb144c7a	689	* Set a group using well-known domain parameters
JMF	12:0071cb144c7a	690	*/
JMF	12:0071cb144c7a	691	int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
JMF	12:0071cb144c7a	692	{
JMF	12:0071cb144c7a	693	mbedtls_ecp_group_free( grp );
JMF	12:0071cb144c7a	694
JMF	12:0071cb144c7a	695	grp->id = id;
JMF	12:0071cb144c7a	696
JMF	12:0071cb144c7a	697	switch( id )
JMF	12:0071cb144c7a	698	{
JMF	12:0071cb144c7a	699	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
JMF	12:0071cb144c7a	700	case MBEDTLS_ECP_DP_SECP192R1:
JMF	12:0071cb144c7a	701	NIST_MODP( p192 );
JMF	12:0071cb144c7a	702	return( LOAD_GROUP( secp192r1 ) );
JMF	12:0071cb144c7a	703	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
JMF	12:0071cb144c7a	704
JMF	12:0071cb144c7a	705	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
JMF	12:0071cb144c7a	706	case MBEDTLS_ECP_DP_SECP224R1:
JMF	12:0071cb144c7a	707	NIST_MODP( p224 );
JMF	12:0071cb144c7a	708	return( LOAD_GROUP( secp224r1 ) );
JMF	12:0071cb144c7a	709	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
JMF	12:0071cb144c7a	710
JMF	12:0071cb144c7a	711	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
JMF	12:0071cb144c7a	712	case MBEDTLS_ECP_DP_SECP256R1:
JMF	12:0071cb144c7a	713	NIST_MODP( p256 );
JMF	12:0071cb144c7a	714	return( LOAD_GROUP( secp256r1 ) );
JMF	12:0071cb144c7a	715	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
JMF	12:0071cb144c7a	716
JMF	12:0071cb144c7a	717	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
JMF	12:0071cb144c7a	718	case MBEDTLS_ECP_DP_SECP384R1:
JMF	12:0071cb144c7a	719	NIST_MODP( p384 );
JMF	12:0071cb144c7a	720	return( LOAD_GROUP( secp384r1 ) );
JMF	12:0071cb144c7a	721	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
JMF	12:0071cb144c7a	722
JMF	12:0071cb144c7a	723	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
JMF	12:0071cb144c7a	724	case MBEDTLS_ECP_DP_SECP521R1:
JMF	12:0071cb144c7a	725	NIST_MODP( p521 );
JMF	12:0071cb144c7a	726	return( LOAD_GROUP( secp521r1 ) );
JMF	12:0071cb144c7a	727	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
JMF	12:0071cb144c7a	728
JMF	12:0071cb144c7a	729	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
JMF	12:0071cb144c7a	730	case MBEDTLS_ECP_DP_SECP192K1:
JMF	12:0071cb144c7a	731	grp->modp = ecp_mod_p192k1;
JMF	12:0071cb144c7a	732	return( LOAD_GROUP_A( secp192k1 ) );
JMF	12:0071cb144c7a	733	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
JMF	12:0071cb144c7a	734
JMF	12:0071cb144c7a	735	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
JMF	12:0071cb144c7a	736	case MBEDTLS_ECP_DP_SECP224K1:
JMF	12:0071cb144c7a	737	grp->modp = ecp_mod_p224k1;
JMF	12:0071cb144c7a	738	return( LOAD_GROUP_A( secp224k1 ) );
JMF	12:0071cb144c7a	739	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
JMF	12:0071cb144c7a	740
JMF	12:0071cb144c7a	741	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
JMF	12:0071cb144c7a	742	case MBEDTLS_ECP_DP_SECP256K1:
JMF	12:0071cb144c7a	743	grp->modp = ecp_mod_p256k1;
JMF	12:0071cb144c7a	744	return( LOAD_GROUP_A( secp256k1 ) );
JMF	12:0071cb144c7a	745	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
JMF	12:0071cb144c7a	746
JMF	12:0071cb144c7a	747	#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
JMF	12:0071cb144c7a	748	case MBEDTLS_ECP_DP_BP256R1:
JMF	12:0071cb144c7a	749	return( LOAD_GROUP_A( brainpoolP256r1 ) );
JMF	12:0071cb144c7a	750	#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
JMF	12:0071cb144c7a	751
JMF	12:0071cb144c7a	752	#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
JMF	12:0071cb144c7a	753	case MBEDTLS_ECP_DP_BP384R1:
JMF	12:0071cb144c7a	754	return( LOAD_GROUP_A( brainpoolP384r1 ) );
JMF	12:0071cb144c7a	755	#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
JMF	12:0071cb144c7a	756
JMF	12:0071cb144c7a	757	#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
JMF	12:0071cb144c7a	758	case MBEDTLS_ECP_DP_BP512R1:
JMF	12:0071cb144c7a	759	return( LOAD_GROUP_A( brainpoolP512r1 ) );
JMF	12:0071cb144c7a	760	#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
JMF	12:0071cb144c7a	761
JMF	12:0071cb144c7a	762	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
JMF	12:0071cb144c7a	763	case MBEDTLS_ECP_DP_CURVE25519:
JMF	12:0071cb144c7a	764	grp->modp = ecp_mod_p255;
JMF	12:0071cb144c7a	765	return( ecp_use_curve25519( grp ) );
JMF	12:0071cb144c7a	766	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
JMF	12:0071cb144c7a	767
JMF	12:0071cb144c7a	768	default:
JMF	12:0071cb144c7a	769	mbedtls_ecp_group_free( grp );
JMF	12:0071cb144c7a	770	return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
JMF	12:0071cb144c7a	771	}
JMF	12:0071cb144c7a	772	}
JMF	12:0071cb144c7a	773
JMF	12:0071cb144c7a	774	#if defined(MBEDTLS_ECP_NIST_OPTIM)
JMF	12:0071cb144c7a	775	/*
JMF	12:0071cb144c7a	776	* Fast reduction modulo the primes used by the NIST curves.
JMF	12:0071cb144c7a	777	*
JMF	12:0071cb144c7a	778	* These functions are critical for speed, but not needed for correct
JMF	12:0071cb144c7a	779	* operations. So, we make the choice to heavily rely on the internals of our
JMF	12:0071cb144c7a	780	* bignum library, which creates a tight coupling between these functions and
JMF	12:0071cb144c7a	781	* our MPI implementation. However, the coupling between the ECP module and
JMF	12:0071cb144c7a	782	* MPI remains loose, since these functions can be deactivated at will.
JMF	12:0071cb144c7a	783	*/
JMF	12:0071cb144c7a	784
JMF	12:0071cb144c7a	785	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
JMF	12:0071cb144c7a	786	/*
JMF	12:0071cb144c7a	787	* Compared to the way things are presented in FIPS 186-3 D.2,
JMF	12:0071cb144c7a	788	* we proceed in columns, from right (least significant chunk) to left,
JMF	12:0071cb144c7a	789	* adding chunks to N in place, and keeping a carry for the next chunk.
JMF	12:0071cb144c7a	790	* This avoids moving things around in memory, and uselessly adding zeros,
JMF	12:0071cb144c7a	791	* compared to the more straightforward, line-oriented approach.
JMF	12:0071cb144c7a	792	*
JMF	12:0071cb144c7a	793	* For this prime we need to handle data in chunks of 64 bits.
JMF	12:0071cb144c7a	794	* Since this is always a multiple of our basic mbedtls_mpi_uint, we can
JMF	12:0071cb144c7a	795	* use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
JMF	12:0071cb144c7a	796	*/
JMF	12:0071cb144c7a	797
JMF	12:0071cb144c7a	798	/* Add 64-bit chunks (dst += src) and update carry */
JMF	12:0071cb144c7a	799	static inline void add64( mbedtls_mpi_uint dst, mbedtls_mpi_uint src, mbedtls_mpi_uint *carry )
JMF	12:0071cb144c7a	800	{
JMF	12:0071cb144c7a	801	unsigned char i;
JMF	12:0071cb144c7a	802	mbedtls_mpi_uint c = 0;
JMF	12:0071cb144c7a	803	for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
JMF	12:0071cb144c7a	804	{
JMF	12:0071cb144c7a	805	dst += c; c = ( dst < c );
JMF	12:0071cb144c7a	806	dst += src; c += ( dst < src );
JMF	12:0071cb144c7a	807	}
JMF	12:0071cb144c7a	808	*carry += c;
JMF	12:0071cb144c7a	809	}
JMF	12:0071cb144c7a	810
JMF	12:0071cb144c7a	811	/* Add carry to a 64-bit chunk and update carry */
JMF	12:0071cb144c7a	812	static inline void carry64( mbedtls_mpi_uint dst, mbedtls_mpi_uint carry )
JMF	12:0071cb144c7a	813	{
JMF	12:0071cb144c7a	814	unsigned char i;
JMF	12:0071cb144c7a	815	for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
JMF	12:0071cb144c7a	816	{
JMF	12:0071cb144c7a	817	dst += carry;
JMF	12:0071cb144c7a	818	carry = ( dst < *carry );
JMF	12:0071cb144c7a	819	}
JMF	12:0071cb144c7a	820	}
JMF	12:0071cb144c7a	821
JMF	12:0071cb144c7a	822	#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
JMF	12:0071cb144c7a	823	#define A( i ) N->p + i * WIDTH
JMF	12:0071cb144c7a	824	#define ADD( i ) add64( p, A( i ), &c )
JMF	12:0071cb144c7a	825	#define NEXT p += WIDTH; carry64( p, &c )
JMF	12:0071cb144c7a	826	#define LAST p += WIDTH; p = c; while( ++p < end ) p = 0
JMF	12:0071cb144c7a	827
JMF	12:0071cb144c7a	828	/*
JMF	12:0071cb144c7a	829	* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
JMF	12:0071cb144c7a	830	*/
JMF	12:0071cb144c7a	831	static int ecp_mod_p192( mbedtls_mpi *N )
JMF	12:0071cb144c7a	832	{
JMF	12:0071cb144c7a	833	int ret;
JMF	12:0071cb144c7a	834	mbedtls_mpi_uint c = 0;
JMF	12:0071cb144c7a	835	mbedtls_mpi_uint p, end;
JMF	12:0071cb144c7a	836
JMF	12:0071cb144c7a	837	/* Make sure we have enough blocks so that A(5) is legal */
JMF	12:0071cb144c7a	838	MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
JMF	12:0071cb144c7a	839
JMF	12:0071cb144c7a	840	p = N->p;
JMF	12:0071cb144c7a	841	end = p + N->n;
JMF	12:0071cb144c7a	842
JMF	12:0071cb144c7a	843	ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
JMF	12:0071cb144c7a	844	ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
JMF	12:0071cb144c7a	845	ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
JMF	12:0071cb144c7a	846
JMF	12:0071cb144c7a	847	cleanup:
JMF	12:0071cb144c7a	848	return( ret );
JMF	12:0071cb144c7a	849	}
JMF	12:0071cb144c7a	850
JMF	12:0071cb144c7a	851	#undef WIDTH
JMF	12:0071cb144c7a	852	#undef A
JMF	12:0071cb144c7a	853	#undef ADD
JMF	12:0071cb144c7a	854	#undef NEXT
JMF	12:0071cb144c7a	855	#undef LAST
JMF	12:0071cb144c7a	856	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
JMF	12:0071cb144c7a	857
JMF	12:0071cb144c7a	858	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) \|\| \
JMF	12:0071cb144c7a	859	defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) \|\| \
JMF	12:0071cb144c7a	860	defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
JMF	12:0071cb144c7a	861	/*
JMF	12:0071cb144c7a	862	* The reader is advised to first understand ecp_mod_p192() since the same
JMF	12:0071cb144c7a	863	* general structure is used here, but with additional complications:
JMF	12:0071cb144c7a	864	* (1) chunks of 32 bits, and (2) subtractions.
JMF	12:0071cb144c7a	865	*/
JMF	12:0071cb144c7a	866
JMF	12:0071cb144c7a	867	/*
JMF	12:0071cb144c7a	868	* For these primes, we need to handle data in chunks of 32 bits.
JMF	12:0071cb144c7a	869	* This makes it more complicated if we use 64 bits limbs in MPI,
JMF	12:0071cb144c7a	870	* which prevents us from using a uniform access method as for p192.
JMF	12:0071cb144c7a	871	*
JMF	12:0071cb144c7a	872	* So, we define a mini abstraction layer to access 32 bit chunks,
JMF	12:0071cb144c7a	873	* load them in 'cur' for work, and store them back from 'cur' when done.
JMF	12:0071cb144c7a	874	*
JMF	12:0071cb144c7a	875	* While at it, also define the size of N in terms of 32-bit chunks.
JMF	12:0071cb144c7a	876	*/
JMF	12:0071cb144c7a	877	#define LOAD32 cur = A( i );
JMF	12:0071cb144c7a	878
JMF	12:0071cb144c7a	879	#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
JMF	12:0071cb144c7a	880
JMF	12:0071cb144c7a	881	#define MAX32 N->n
JMF	12:0071cb144c7a	882	#define A( j ) N->p[j]
JMF	12:0071cb144c7a	883	#define STORE32 N->p[i] = cur;
JMF	12:0071cb144c7a	884
JMF	12:0071cb144c7a	885	#else /* 64-bit */
JMF	12:0071cb144c7a	886
JMF	12:0071cb144c7a	887	#define MAX32 N->n * 2
JMF	12:0071cb144c7a	888	#define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
JMF	12:0071cb144c7a	889	#define STORE32 \
JMF	12:0071cb144c7a	890	if( i % 2 ) { \
JMF	12:0071cb144c7a	891	N->p[i/2] &= 0x00000000FFFFFFFF; \
JMF	12:0071cb144c7a	892	N->p[i/2] \|= ((mbedtls_mpi_uint) cur) << 32; \
JMF	12:0071cb144c7a	893	} else { \
JMF	12:0071cb144c7a	894	N->p[i/2] &= 0xFFFFFFFF00000000; \
JMF	12:0071cb144c7a	895	N->p[i/2] \|= (mbedtls_mpi_uint) cur; \
JMF	12:0071cb144c7a	896	}
JMF	12:0071cb144c7a	897
JMF	12:0071cb144c7a	898	#endif /* sizeof( mbedtls_mpi_uint ) */
JMF	12:0071cb144c7a	899
JMF	12:0071cb144c7a	900	/*
JMF	12:0071cb144c7a	901	* Helpers for addition and subtraction of chunks, with signed carry.
JMF	12:0071cb144c7a	902	*/
JMF	12:0071cb144c7a	903	static inline void add32( uint32_t dst, uint32_t src, signed char carry )
JMF	12:0071cb144c7a	904	{
JMF	12:0071cb144c7a	905	*dst += src;
JMF	12:0071cb144c7a	906	carry += ( dst < src );
JMF	12:0071cb144c7a	907	}
JMF	12:0071cb144c7a	908
JMF	12:0071cb144c7a	909	static inline void sub32( uint32_t dst, uint32_t src, signed char carry )
JMF	12:0071cb144c7a	910	{
JMF	12:0071cb144c7a	911	carry -= ( dst < src );
JMF	12:0071cb144c7a	912	*dst -= src;
JMF	12:0071cb144c7a	913	}
JMF	12:0071cb144c7a	914
JMF	12:0071cb144c7a	915	#define ADD( j ) add32( &cur, A( j ), &c );
JMF	12:0071cb144c7a	916	#define SUB( j ) sub32( &cur, A( j ), &c );
JMF	12:0071cb144c7a	917
JMF	12:0071cb144c7a	918	/*
JMF	12:0071cb144c7a	919	* Helpers for the main 'loop'
JMF	12:0071cb144c7a	920	* (see fix_negative for the motivation of C)
JMF	12:0071cb144c7a	921	*/
JMF	12:0071cb144c7a	922	#define INIT( b ) \
JMF	12:0071cb144c7a	923	int ret; \
JMF	12:0071cb144c7a	924	signed char c = 0, cc; \
JMF	12:0071cb144c7a	925	uint32_t cur; \
JMF	12:0071cb144c7a	926	size_t i = 0, bits = b; \
JMF	12:0071cb144c7a	927	mbedtls_mpi C; \
JMF	12:0071cb144c7a	928	mbedtls_mpi_uint Cp[ b / 8 / sizeof( mbedtls_mpi_uint) + 1 ]; \
JMF	12:0071cb144c7a	929	\
JMF	12:0071cb144c7a	930	C.s = 1; \
JMF	12:0071cb144c7a	931	C.n = b / 8 / sizeof( mbedtls_mpi_uint) + 1; \
JMF	12:0071cb144c7a	932	C.p = Cp; \
JMF	12:0071cb144c7a	933	memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) ); \
JMF	12:0071cb144c7a	934	\
JMF	12:0071cb144c7a	935	MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, b * 2 / 8 / sizeof( mbedtls_mpi_uint ) ) ); \
JMF	12:0071cb144c7a	936	LOAD32;
JMF	12:0071cb144c7a	937
JMF	12:0071cb144c7a	938	#define NEXT \
JMF	12:0071cb144c7a	939	STORE32; i++; LOAD32; \
JMF	12:0071cb144c7a	940	cc = c; c = 0; \
JMF	12:0071cb144c7a	941	if( cc < 0 ) \
JMF	12:0071cb144c7a	942	sub32( &cur, -cc, &c ); \
JMF	12:0071cb144c7a	943	else \
JMF	12:0071cb144c7a	944	add32( &cur, cc, &c ); \
JMF	12:0071cb144c7a	945
JMF	12:0071cb144c7a	946	#define LAST \
JMF	12:0071cb144c7a	947	STORE32; i++; \
JMF	12:0071cb144c7a	948	cur = c > 0 ? c : 0; STORE32; \
JMF	12:0071cb144c7a	949	cur = 0; while( ++i < MAX32 ) { STORE32; } \
JMF	12:0071cb144c7a	950	if( c < 0 ) fix_negative( N, c, &C, bits );
JMF	12:0071cb144c7a	951
JMF	12:0071cb144c7a	952	/*
JMF	12:0071cb144c7a	953	* If the result is negative, we get it in the form
JMF	12:0071cb144c7a	954	* c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
JMF	12:0071cb144c7a	955	*/
JMF	12:0071cb144c7a	956	static inline int fix_negative( mbedtls_mpi N, signed char c, mbedtls_mpi C, size_t bits )
JMF	12:0071cb144c7a	957	{
JMF	12:0071cb144c7a	958	int ret;
JMF	12:0071cb144c7a	959
JMF	12:0071cb144c7a	960	/* C = - c * 2^(bits + 32) */
JMF	12:0071cb144c7a	961	#if !defined(MBEDTLS_HAVE_INT64)
JMF	12:0071cb144c7a	962	((void) bits);
JMF	12:0071cb144c7a	963	#else
JMF	12:0071cb144c7a	964	if( bits == 224 )
JMF	12:0071cb144c7a	965	C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
JMF	12:0071cb144c7a	966	else
JMF	12:0071cb144c7a	967	#endif
JMF	12:0071cb144c7a	968	C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
JMF	12:0071cb144c7a	969
JMF	12:0071cb144c7a	970	/* N = - ( C - N ) */
JMF	12:0071cb144c7a	971	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
JMF	12:0071cb144c7a	972	N->s = -1;
JMF	12:0071cb144c7a	973
JMF	12:0071cb144c7a	974	cleanup:
JMF	12:0071cb144c7a	975
JMF	12:0071cb144c7a	976	return( ret );
JMF	12:0071cb144c7a	977	}
JMF	12:0071cb144c7a	978
JMF	12:0071cb144c7a	979	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
JMF	12:0071cb144c7a	980	/*
JMF	12:0071cb144c7a	981	* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
JMF	12:0071cb144c7a	982	*/
JMF	12:0071cb144c7a	983	static int ecp_mod_p224( mbedtls_mpi *N )
JMF	12:0071cb144c7a	984	{
JMF	12:0071cb144c7a	985	INIT( 224 );
JMF	12:0071cb144c7a	986
JMF	12:0071cb144c7a	987	SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
JMF	12:0071cb144c7a	988	SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
JMF	12:0071cb144c7a	989	SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
JMF	12:0071cb144c7a	990	SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
JMF	12:0071cb144c7a	991	SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
JMF	12:0071cb144c7a	992	SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
JMF	12:0071cb144c7a	993	SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
JMF	12:0071cb144c7a	994
JMF	12:0071cb144c7a	995	cleanup:
JMF	12:0071cb144c7a	996	return( ret );
JMF	12:0071cb144c7a	997	}
JMF	12:0071cb144c7a	998	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
JMF	12:0071cb144c7a	999
JMF	12:0071cb144c7a	1000	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
JMF	12:0071cb144c7a	1001	/*
JMF	12:0071cb144c7a	1002	* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
JMF	12:0071cb144c7a	1003	*/
JMF	12:0071cb144c7a	1004	static int ecp_mod_p256( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1005	{
JMF	12:0071cb144c7a	1006	INIT( 256 );
JMF	12:0071cb144c7a	1007
JMF	12:0071cb144c7a	1008	ADD( 8 ); ADD( 9 );
JMF	12:0071cb144c7a	1009	SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
JMF	12:0071cb144c7a	1010
JMF	12:0071cb144c7a	1011	ADD( 9 ); ADD( 10 );
JMF	12:0071cb144c7a	1012	SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
JMF	12:0071cb144c7a	1013
JMF	12:0071cb144c7a	1014	ADD( 10 ); ADD( 11 );
JMF	12:0071cb144c7a	1015	SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
JMF	12:0071cb144c7a	1016
JMF	12:0071cb144c7a	1017	ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
JMF	12:0071cb144c7a	1018	SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
JMF	12:0071cb144c7a	1019
JMF	12:0071cb144c7a	1020	ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
JMF	12:0071cb144c7a	1021	SUB( 9 ); SUB( 10 ); NEXT; // A4
JMF	12:0071cb144c7a	1022
JMF	12:0071cb144c7a	1023	ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
JMF	12:0071cb144c7a	1024	SUB( 10 ); SUB( 11 ); NEXT; // A5
JMF	12:0071cb144c7a	1025
JMF	12:0071cb144c7a	1026	ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
JMF	12:0071cb144c7a	1027	SUB( 8 ); SUB( 9 ); NEXT; // A6
JMF	12:0071cb144c7a	1028
JMF	12:0071cb144c7a	1029	ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
JMF	12:0071cb144c7a	1030	SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
JMF	12:0071cb144c7a	1031
JMF	12:0071cb144c7a	1032	cleanup:
JMF	12:0071cb144c7a	1033	return( ret );
JMF	12:0071cb144c7a	1034	}
JMF	12:0071cb144c7a	1035	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
JMF	12:0071cb144c7a	1036
JMF	12:0071cb144c7a	1037	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
JMF	12:0071cb144c7a	1038	/*
JMF	12:0071cb144c7a	1039	* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
JMF	12:0071cb144c7a	1040	*/
JMF	12:0071cb144c7a	1041	static int ecp_mod_p384( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1042	{
JMF	12:0071cb144c7a	1043	INIT( 384 );
JMF	12:0071cb144c7a	1044
JMF	12:0071cb144c7a	1045	ADD( 12 ); ADD( 21 ); ADD( 20 );
JMF	12:0071cb144c7a	1046	SUB( 23 ); NEXT; // A0
JMF	12:0071cb144c7a	1047
JMF	12:0071cb144c7a	1048	ADD( 13 ); ADD( 22 ); ADD( 23 );
JMF	12:0071cb144c7a	1049	SUB( 12 ); SUB( 20 ); NEXT; // A2
JMF	12:0071cb144c7a	1050
JMF	12:0071cb144c7a	1051	ADD( 14 ); ADD( 23 );
JMF	12:0071cb144c7a	1052	SUB( 13 ); SUB( 21 ); NEXT; // A2
JMF	12:0071cb144c7a	1053
JMF	12:0071cb144c7a	1054	ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
JMF	12:0071cb144c7a	1055	SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
JMF	12:0071cb144c7a	1056
JMF	12:0071cb144c7a	1057	ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
JMF	12:0071cb144c7a	1058	SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
JMF	12:0071cb144c7a	1059
JMF	12:0071cb144c7a	1060	ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
JMF	12:0071cb144c7a	1061	SUB( 16 ); NEXT; // A5
JMF	12:0071cb144c7a	1062
JMF	12:0071cb144c7a	1063	ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
JMF	12:0071cb144c7a	1064	SUB( 17 ); NEXT; // A6
JMF	12:0071cb144c7a	1065
JMF	12:0071cb144c7a	1066	ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
JMF	12:0071cb144c7a	1067	SUB( 18 ); NEXT; // A7
JMF	12:0071cb144c7a	1068
JMF	12:0071cb144c7a	1069	ADD( 20 ); ADD( 17 ); ADD( 16 );
JMF	12:0071cb144c7a	1070	SUB( 19 ); NEXT; // A8
JMF	12:0071cb144c7a	1071
JMF	12:0071cb144c7a	1072	ADD( 21 ); ADD( 18 ); ADD( 17 );
JMF	12:0071cb144c7a	1073	SUB( 20 ); NEXT; // A9
JMF	12:0071cb144c7a	1074
JMF	12:0071cb144c7a	1075	ADD( 22 ); ADD( 19 ); ADD( 18 );
JMF	12:0071cb144c7a	1076	SUB( 21 ); NEXT; // A10
JMF	12:0071cb144c7a	1077
JMF	12:0071cb144c7a	1078	ADD( 23 ); ADD( 20 ); ADD( 19 );
JMF	12:0071cb144c7a	1079	SUB( 22 ); LAST; // A11
JMF	12:0071cb144c7a	1080
JMF	12:0071cb144c7a	1081	cleanup:
JMF	12:0071cb144c7a	1082	return( ret );
JMF	12:0071cb144c7a	1083	}
JMF	12:0071cb144c7a	1084	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
JMF	12:0071cb144c7a	1085
JMF	12:0071cb144c7a	1086	#undef A
JMF	12:0071cb144c7a	1087	#undef LOAD32
JMF	12:0071cb144c7a	1088	#undef STORE32
JMF	12:0071cb144c7a	1089	#undef MAX32
JMF	12:0071cb144c7a	1090	#undef INIT
JMF	12:0071cb144c7a	1091	#undef NEXT
JMF	12:0071cb144c7a	1092	#undef LAST
JMF	12:0071cb144c7a	1093
JMF	12:0071cb144c7a	1094	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED \|\|
JMF	12:0071cb144c7a	1095	MBEDTLS_ECP_DP_SECP256R1_ENABLED \|\|
JMF	12:0071cb144c7a	1096	MBEDTLS_ECP_DP_SECP384R1_ENABLED */
JMF	12:0071cb144c7a	1097
JMF	12:0071cb144c7a	1098	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
JMF	12:0071cb144c7a	1099	/*
JMF	12:0071cb144c7a	1100	* Here we have an actual Mersenne prime, so things are more straightforward.
JMF	12:0071cb144c7a	1101	* However, chunks are aligned on a 'weird' boundary (521 bits).
JMF	12:0071cb144c7a	1102	*/
JMF	12:0071cb144c7a	1103
JMF	12:0071cb144c7a	1104	/* Size of p521 in terms of mbedtls_mpi_uint */
JMF	12:0071cb144c7a	1105	#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
JMF	12:0071cb144c7a	1106
JMF	12:0071cb144c7a	1107	/* Bits to keep in the most significant mbedtls_mpi_uint */
JMF	12:0071cb144c7a	1108	#define P521_MASK 0x01FF
JMF	12:0071cb144c7a	1109
JMF	12:0071cb144c7a	1110	/*
JMF	12:0071cb144c7a	1111	* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
JMF	12:0071cb144c7a	1112	* Write N as A1 + 2^521 A0, return A0 + A1
JMF	12:0071cb144c7a	1113	*/
JMF	12:0071cb144c7a	1114	static int ecp_mod_p521( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1115	{
JMF	12:0071cb144c7a	1116	int ret;
JMF	12:0071cb144c7a	1117	size_t i;
JMF	12:0071cb144c7a	1118	mbedtls_mpi M;
JMF	12:0071cb144c7a	1119	mbedtls_mpi_uint Mp[P521_WIDTH + 1];
JMF	12:0071cb144c7a	1120	/* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
JMF	12:0071cb144c7a	1121	* we need to hold bits 513 to 1056, which is 34 limbs, that is
JMF	12:0071cb144c7a	1122	* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
JMF	12:0071cb144c7a	1123
JMF	12:0071cb144c7a	1124	if( N->n < P521_WIDTH )
JMF	12:0071cb144c7a	1125	return( 0 );
JMF	12:0071cb144c7a	1126
JMF	12:0071cb144c7a	1127	/* M = A1 */
JMF	12:0071cb144c7a	1128	M.s = 1;
JMF	12:0071cb144c7a	1129	M.n = N->n - ( P521_WIDTH - 1 );
JMF	12:0071cb144c7a	1130	if( M.n > P521_WIDTH + 1 )
JMF	12:0071cb144c7a	1131	M.n = P521_WIDTH + 1;
JMF	12:0071cb144c7a	1132	M.p = Mp;
JMF	12:0071cb144c7a	1133	memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
JMF	12:0071cb144c7a	1134	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
JMF	12:0071cb144c7a	1135
JMF	12:0071cb144c7a	1136	/* N = A0 */
JMF	12:0071cb144c7a	1137	N->p[P521_WIDTH - 1] &= P521_MASK;
JMF	12:0071cb144c7a	1138	for( i = P521_WIDTH; i < N->n; i++ )
JMF	12:0071cb144c7a	1139	N->p[i] = 0;
JMF	12:0071cb144c7a	1140
JMF	12:0071cb144c7a	1141	/* N = A0 + A1 */
JMF	12:0071cb144c7a	1142	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
JMF	12:0071cb144c7a	1143
JMF	12:0071cb144c7a	1144	cleanup:
JMF	12:0071cb144c7a	1145	return( ret );
JMF	12:0071cb144c7a	1146	}
JMF	12:0071cb144c7a	1147
JMF	12:0071cb144c7a	1148	#undef P521_WIDTH
JMF	12:0071cb144c7a	1149	#undef P521_MASK
JMF	12:0071cb144c7a	1150	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
JMF	12:0071cb144c7a	1151
JMF	12:0071cb144c7a	1152	#endif /* MBEDTLS_ECP_NIST_OPTIM */
JMF	12:0071cb144c7a	1153
JMF	12:0071cb144c7a	1154	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
JMF	12:0071cb144c7a	1155
JMF	12:0071cb144c7a	1156	/* Size of p255 in terms of mbedtls_mpi_uint */
JMF	12:0071cb144c7a	1157	#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
JMF	12:0071cb144c7a	1158
JMF	12:0071cb144c7a	1159	/*
JMF	12:0071cb144c7a	1160	* Fast quasi-reduction modulo p255 = 2^255 - 19
JMF	12:0071cb144c7a	1161	* Write N as A0 + 2^255 A1, return A0 + 19 * A1
JMF	12:0071cb144c7a	1162	*/
JMF	12:0071cb144c7a	1163	static int ecp_mod_p255( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1164	{
JMF	12:0071cb144c7a	1165	int ret;
JMF	12:0071cb144c7a	1166	size_t i;
JMF	12:0071cb144c7a	1167	mbedtls_mpi M;
JMF	12:0071cb144c7a	1168	mbedtls_mpi_uint Mp[P255_WIDTH + 2];
JMF	12:0071cb144c7a	1169
JMF	12:0071cb144c7a	1170	if( N->n < P255_WIDTH )
JMF	12:0071cb144c7a	1171	return( 0 );
JMF	12:0071cb144c7a	1172
JMF	12:0071cb144c7a	1173	/* M = A1 */
JMF	12:0071cb144c7a	1174	M.s = 1;
JMF	12:0071cb144c7a	1175	M.n = N->n - ( P255_WIDTH - 1 );
JMF	12:0071cb144c7a	1176	if( M.n > P255_WIDTH + 1 )
JMF	12:0071cb144c7a	1177	M.n = P255_WIDTH + 1;
JMF	12:0071cb144c7a	1178	M.p = Mp;
JMF	12:0071cb144c7a	1179	memset( Mp, 0, sizeof Mp );
JMF	12:0071cb144c7a	1180	memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
JMF	12:0071cb144c7a	1181	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
JMF	12:0071cb144c7a	1182	M.n++; /* Make room for multiplication by 19 */
JMF	12:0071cb144c7a	1183
JMF	12:0071cb144c7a	1184	/* N = A0 */
JMF	12:0071cb144c7a	1185	MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
JMF	12:0071cb144c7a	1186	for( i = P255_WIDTH; i < N->n; i++ )
JMF	12:0071cb144c7a	1187	N->p[i] = 0;
JMF	12:0071cb144c7a	1188
JMF	12:0071cb144c7a	1189	/* N = A0 + 19 * A1 */
JMF	12:0071cb144c7a	1190	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
JMF	12:0071cb144c7a	1191	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
JMF	12:0071cb144c7a	1192
JMF	12:0071cb144c7a	1193	cleanup:
JMF	12:0071cb144c7a	1194	return( ret );
JMF	12:0071cb144c7a	1195	}
JMF	12:0071cb144c7a	1196	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
JMF	12:0071cb144c7a	1197
JMF	12:0071cb144c7a	1198	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) \|\| \
JMF	12:0071cb144c7a	1199	defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) \|\| \
JMF	12:0071cb144c7a	1200	defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
JMF	12:0071cb144c7a	1201	/*
JMF	12:0071cb144c7a	1202	* Fast quasi-reduction modulo P = 2^s - R,
JMF	12:0071cb144c7a	1203	* with R about 33 bits, used by the Koblitz curves.
JMF	12:0071cb144c7a	1204	*
JMF	12:0071cb144c7a	1205	* Write N as A0 + 2^224 A1, return A0 + R * A1.
JMF	12:0071cb144c7a	1206	* Actually do two passes, since R is big.
JMF	12:0071cb144c7a	1207	*/
JMF	12:0071cb144c7a	1208	#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
JMF	12:0071cb144c7a	1209	#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
JMF	12:0071cb144c7a	1210	static inline int ecp_mod_koblitz( mbedtls_mpi N, mbedtls_mpi_uint Rp, size_t p_limbs,
JMF	12:0071cb144c7a	1211	size_t adjust, size_t shift, mbedtls_mpi_uint mask )
JMF	12:0071cb144c7a	1212	{
JMF	12:0071cb144c7a	1213	int ret;
JMF	12:0071cb144c7a	1214	size_t i;
JMF	12:0071cb144c7a	1215	mbedtls_mpi M, R;
JMF	12:0071cb144c7a	1216	mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
JMF	12:0071cb144c7a	1217
JMF	12:0071cb144c7a	1218	if( N->n < p_limbs )
JMF	12:0071cb144c7a	1219	return( 0 );
JMF	12:0071cb144c7a	1220
JMF	12:0071cb144c7a	1221	/* Init R */
JMF	12:0071cb144c7a	1222	R.s = 1;
JMF	12:0071cb144c7a	1223	R.p = Rp;
JMF	12:0071cb144c7a	1224	R.n = P_KOBLITZ_R;
JMF	12:0071cb144c7a	1225
JMF	12:0071cb144c7a	1226	/* Common setup for M */
JMF	12:0071cb144c7a	1227	M.s = 1;
JMF	12:0071cb144c7a	1228	M.p = Mp;
JMF	12:0071cb144c7a	1229
JMF	12:0071cb144c7a	1230	/* M = A1 */
JMF	12:0071cb144c7a	1231	M.n = N->n - ( p_limbs - adjust );
JMF	12:0071cb144c7a	1232	if( M.n > p_limbs + adjust )
JMF	12:0071cb144c7a	1233	M.n = p_limbs + adjust;
JMF	12:0071cb144c7a	1234	memset( Mp, 0, sizeof Mp );
JMF	12:0071cb144c7a	1235	memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
JMF	12:0071cb144c7a	1236	if( shift != 0 )
JMF	12:0071cb144c7a	1237	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
JMF	12:0071cb144c7a	1238	M.n += R.n - adjust; /* Make room for multiplication by R */
JMF	12:0071cb144c7a	1239
JMF	12:0071cb144c7a	1240	/* N = A0 */
JMF	12:0071cb144c7a	1241	if( mask != 0 )
JMF	12:0071cb144c7a	1242	N->p[p_limbs - 1] &= mask;
JMF	12:0071cb144c7a	1243	for( i = p_limbs; i < N->n; i++ )
JMF	12:0071cb144c7a	1244	N->p[i] = 0;
JMF	12:0071cb144c7a	1245
JMF	12:0071cb144c7a	1246	/* N = A0 + R * A1 */
JMF	12:0071cb144c7a	1247	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
JMF	12:0071cb144c7a	1248	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
JMF	12:0071cb144c7a	1249
JMF	12:0071cb144c7a	1250	/* Second pass */
JMF	12:0071cb144c7a	1251
JMF	12:0071cb144c7a	1252	/* M = A1 */
JMF	12:0071cb144c7a	1253	M.n = N->n - ( p_limbs - adjust );
JMF	12:0071cb144c7a	1254	if( M.n > p_limbs + adjust )
JMF	12:0071cb144c7a	1255	M.n = p_limbs + adjust;
JMF	12:0071cb144c7a	1256	memset( Mp, 0, sizeof Mp );
JMF	12:0071cb144c7a	1257	memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
JMF	12:0071cb144c7a	1258	if( shift != 0 )
JMF	12:0071cb144c7a	1259	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
JMF	12:0071cb144c7a	1260	M.n += R.n - adjust; /* Make room for multiplication by R */
JMF	12:0071cb144c7a	1261
JMF	12:0071cb144c7a	1262	/* N = A0 */
JMF	12:0071cb144c7a	1263	if( mask != 0 )
JMF	12:0071cb144c7a	1264	N->p[p_limbs - 1] &= mask;
JMF	12:0071cb144c7a	1265	for( i = p_limbs; i < N->n; i++ )
JMF	12:0071cb144c7a	1266	N->p[i] = 0;
JMF	12:0071cb144c7a	1267
JMF	12:0071cb144c7a	1268	/* N = A0 + R * A1 */
JMF	12:0071cb144c7a	1269	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
JMF	12:0071cb144c7a	1270	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
JMF	12:0071cb144c7a	1271
JMF	12:0071cb144c7a	1272	cleanup:
JMF	12:0071cb144c7a	1273	return( ret );
JMF	12:0071cb144c7a	1274	}
JMF	12:0071cb144c7a	1275	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) \|\|
JMF	12:0071cb144c7a	1276	MBEDTLS_ECP_DP_SECP224K1_ENABLED) \|\|
JMF	12:0071cb144c7a	1277	MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
JMF	12:0071cb144c7a	1278
JMF	12:0071cb144c7a	1279	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
JMF	12:0071cb144c7a	1280	/*
JMF	12:0071cb144c7a	1281	* Fast quasi-reduction modulo p192k1 = 2^192 - R,
JMF	12:0071cb144c7a	1282	* with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
JMF	12:0071cb144c7a	1283	*/
JMF	12:0071cb144c7a	1284	static int ecp_mod_p192k1( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1285	{
JMF	12:0071cb144c7a	1286	static mbedtls_mpi_uint Rp[] = {
JMF	12:0071cb144c7a	1287	BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
JMF	12:0071cb144c7a	1288
JMF	12:0071cb144c7a	1289	return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
JMF	12:0071cb144c7a	1290	}
JMF	12:0071cb144c7a	1291	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
JMF	12:0071cb144c7a	1292
JMF	12:0071cb144c7a	1293	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
JMF	12:0071cb144c7a	1294	/*
JMF	12:0071cb144c7a	1295	* Fast quasi-reduction modulo p224k1 = 2^224 - R,
JMF	12:0071cb144c7a	1296	* with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
JMF	12:0071cb144c7a	1297	*/
JMF	12:0071cb144c7a	1298	static int ecp_mod_p224k1( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1299	{
JMF	12:0071cb144c7a	1300	static mbedtls_mpi_uint Rp[] = {
JMF	12:0071cb144c7a	1301	BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
JMF	12:0071cb144c7a	1302
JMF	12:0071cb144c7a	1303	#if defined(MBEDTLS_HAVE_INT64)
JMF	12:0071cb144c7a	1304	return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
JMF	12:0071cb144c7a	1305	#else
JMF	12:0071cb144c7a	1306	return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
JMF	12:0071cb144c7a	1307	#endif
JMF	12:0071cb144c7a	1308	}
JMF	12:0071cb144c7a	1309
JMF	12:0071cb144c7a	1310	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
JMF	12:0071cb144c7a	1311
JMF	12:0071cb144c7a	1312	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
JMF	12:0071cb144c7a	1313	/*
JMF	12:0071cb144c7a	1314	* Fast quasi-reduction modulo p256k1 = 2^256 - R,
JMF	12:0071cb144c7a	1315	* with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
JMF	12:0071cb144c7a	1316	*/
JMF	12:0071cb144c7a	1317	static int ecp_mod_p256k1( mbedtls_mpi *N )
JMF	12:0071cb144c7a	1318	{
JMF	12:0071cb144c7a	1319	static mbedtls_mpi_uint Rp[] = {
JMF	12:0071cb144c7a	1320	BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
JMF	12:0071cb144c7a	1321	return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
JMF	12:0071cb144c7a	1322	}
JMF	12:0071cb144c7a	1323	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
JMF	12:0071cb144c7a	1324
JMF	12:0071cb144c7a	1325	#endif /* MBEDTLS_ECP_C */

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Type:	Library
Created:	21 Sep 2016
Imports:	89
Forks:	1
Commits:	30
Dependents:	17
Dependencies:	1
Followers:	17

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Fred Kellerman

mbedtls/source/ecp_curves.c@29:b278b745fb4f, 2017-03-24 (annotated)

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