mbed-dev-OS5_10_4 - RTC auf true

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RTC auf true

features/mbedtls/src/ecp_curves.c@0:38ceb79fef03, 2018-11-28 (annotated)

Committer:: kevman
Date:: Wed Nov 28 15:10:15 2018 +0000
Revision:: 0:38ceb79fef03

RTC modified

Who changed what in which revision?

User	Revision	Line number	New contents of line
kevman	0:38ceb79fef03	1	/*
kevman	0:38ceb79fef03	2	* Elliptic curves over GF(p): curve-specific data and functions
kevman	0:38ceb79fef03	3	*
kevman	0:38ceb79fef03	4	* Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
kevman	0:38ceb79fef03	5	* SPDX-License-Identifier: Apache-2.0
kevman	0:38ceb79fef03	6	*
kevman	0:38ceb79fef03	7	* Licensed under the Apache License, Version 2.0 (the "License"); you may
kevman	0:38ceb79fef03	8	* not use this file except in compliance with the License.
kevman	0:38ceb79fef03	9	* You may obtain a copy of the License at
kevman	0:38ceb79fef03	10	*
kevman	0:38ceb79fef03	11	* http://www.apache.org/licenses/LICENSE-2.0
kevman	0:38ceb79fef03	12	*
kevman	0:38ceb79fef03	13	* Unless required by applicable law or agreed to in writing, software
kevman	0:38ceb79fef03	14	* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
kevman	0:38ceb79fef03	15	* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
kevman	0:38ceb79fef03	16	* See the License for the specific language governing permissions and
kevman	0:38ceb79fef03	17	* limitations under the License.
kevman	0:38ceb79fef03	18	*
kevman	0:38ceb79fef03	19	* This file is part of mbed TLS (https://tls.mbed.org)
kevman	0:38ceb79fef03	20	*/
kevman	0:38ceb79fef03	21
kevman	0:38ceb79fef03	22	#if !defined(MBEDTLS_CONFIG_FILE)
kevman	0:38ceb79fef03	23	#include "mbedtls/config.h"
kevman	0:38ceb79fef03	24	#else
kevman	0:38ceb79fef03	25	#include MBEDTLS_CONFIG_FILE
kevman	0:38ceb79fef03	26	#endif
kevman	0:38ceb79fef03	27
kevman	0:38ceb79fef03	28	#if defined(MBEDTLS_ECP_C)
kevman	0:38ceb79fef03	29
kevman	0:38ceb79fef03	30	#include "mbedtls/ecp.h"
kevman	0:38ceb79fef03	31
kevman	0:38ceb79fef03	32	#include <string.h>
kevman	0:38ceb79fef03	33
kevman	0:38ceb79fef03	34	#if !defined(MBEDTLS_ECP_ALT)
kevman	0:38ceb79fef03	35
kevman	0:38ceb79fef03	36	#if ( defined(__ARMCC_VERSION) \|\| defined(_MSC_VER) ) && \
kevman	0:38ceb79fef03	37	!defined(inline) && !defined(__cplusplus)
kevman	0:38ceb79fef03	38	#define inline __inline
kevman	0:38ceb79fef03	39	#endif
kevman	0:38ceb79fef03	40
kevman	0:38ceb79fef03	41	/*
kevman	0:38ceb79fef03	42	* Conversion macros for embedded constants:
kevman	0:38ceb79fef03	43	* build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
kevman	0:38ceb79fef03	44	*/
kevman	0:38ceb79fef03	45	#if defined(MBEDTLS_HAVE_INT32)
kevman	0:38ceb79fef03	46
kevman	0:38ceb79fef03	47	#define BYTES_TO_T_UINT_4( a, b, c, d ) \
kevman	0:38ceb79fef03	48	( (mbedtls_mpi_uint) a << 0 ) \| \
kevman	0:38ceb79fef03	49	( (mbedtls_mpi_uint) b << 8 ) \| \
kevman	0:38ceb79fef03	50	( (mbedtls_mpi_uint) c << 16 ) \| \
kevman	0:38ceb79fef03	51	( (mbedtls_mpi_uint) d << 24 )
kevman	0:38ceb79fef03	52
kevman	0:38ceb79fef03	53	#define BYTES_TO_T_UINT_2( a, b ) \
kevman	0:38ceb79fef03	54	BYTES_TO_T_UINT_4( a, b, 0, 0 )
kevman	0:38ceb79fef03	55
kevman	0:38ceb79fef03	56	#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
kevman	0:38ceb79fef03	57	BYTES_TO_T_UINT_4( a, b, c, d ), \
kevman	0:38ceb79fef03	58	BYTES_TO_T_UINT_4( e, f, g, h )
kevman	0:38ceb79fef03	59
kevman	0:38ceb79fef03	60	#else /* 64-bits */
kevman	0:38ceb79fef03	61
kevman	0:38ceb79fef03	62	#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
kevman	0:38ceb79fef03	63	( (mbedtls_mpi_uint) a << 0 ) \| \
kevman	0:38ceb79fef03	64	( (mbedtls_mpi_uint) b << 8 ) \| \
kevman	0:38ceb79fef03	65	( (mbedtls_mpi_uint) c << 16 ) \| \
kevman	0:38ceb79fef03	66	( (mbedtls_mpi_uint) d << 24 ) \| \
kevman	0:38ceb79fef03	67	( (mbedtls_mpi_uint) e << 32 ) \| \
kevman	0:38ceb79fef03	68	( (mbedtls_mpi_uint) f << 40 ) \| \
kevman	0:38ceb79fef03	69	( (mbedtls_mpi_uint) g << 48 ) \| \
kevman	0:38ceb79fef03	70	( (mbedtls_mpi_uint) h << 56 )
kevman	0:38ceb79fef03	71
kevman	0:38ceb79fef03	72	#define BYTES_TO_T_UINT_4( a, b, c, d ) \
kevman	0:38ceb79fef03	73	BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
kevman	0:38ceb79fef03	74
kevman	0:38ceb79fef03	75	#define BYTES_TO_T_UINT_2( a, b ) \
kevman	0:38ceb79fef03	76	BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
kevman	0:38ceb79fef03	77
kevman	0:38ceb79fef03	78	#endif /* bits in mbedtls_mpi_uint */
kevman	0:38ceb79fef03	79
kevman	0:38ceb79fef03	80	/*
kevman	0:38ceb79fef03	81	* Note: the constants are in little-endian order
kevman	0:38ceb79fef03	82	* to be directly usable in MPIs
kevman	0:38ceb79fef03	83	*/
kevman	0:38ceb79fef03	84
kevman	0:38ceb79fef03	85	/*
kevman	0:38ceb79fef03	86	* Domain parameters for secp192r1
kevman	0:38ceb79fef03	87	*/
kevman	0:38ceb79fef03	88	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kevman	0:38ceb79fef03	89	static const mbedtls_mpi_uint secp192r1_p[] = {
kevman	0:38ceb79fef03	90	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	91	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	92	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	93	};
kevman	0:38ceb79fef03	94	static const mbedtls_mpi_uint secp192r1_b[] = {
kevman	0:38ceb79fef03	95	BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
kevman	0:38ceb79fef03	96	BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
kevman	0:38ceb79fef03	97	BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
kevman	0:38ceb79fef03	98	};
kevman	0:38ceb79fef03	99	static const mbedtls_mpi_uint secp192r1_gx[] = {
kevman	0:38ceb79fef03	100	BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
kevman	0:38ceb79fef03	101	BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
kevman	0:38ceb79fef03	102	BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
kevman	0:38ceb79fef03	103	};
kevman	0:38ceb79fef03	104	static const mbedtls_mpi_uint secp192r1_gy[] = {
kevman	0:38ceb79fef03	105	BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
kevman	0:38ceb79fef03	106	BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
kevman	0:38ceb79fef03	107	BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
kevman	0:38ceb79fef03	108	};
kevman	0:38ceb79fef03	109	static const mbedtls_mpi_uint secp192r1_n[] = {
kevman	0:38ceb79fef03	110	BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
kevman	0:38ceb79fef03	111	BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	112	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	113	};
kevman	0:38ceb79fef03	114	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kevman	0:38ceb79fef03	115
kevman	0:38ceb79fef03	116	/*
kevman	0:38ceb79fef03	117	* Domain parameters for secp224r1
kevman	0:38ceb79fef03	118	*/
kevman	0:38ceb79fef03	119	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kevman	0:38ceb79fef03	120	static const mbedtls_mpi_uint secp224r1_p[] = {
kevman	0:38ceb79fef03	121	BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	122	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	123	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	124	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	125	};
kevman	0:38ceb79fef03	126	static const mbedtls_mpi_uint secp224r1_b[] = {
kevman	0:38ceb79fef03	127	BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
kevman	0:38ceb79fef03	128	BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
kevman	0:38ceb79fef03	129	BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
kevman	0:38ceb79fef03	130	BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
kevman	0:38ceb79fef03	131	};
kevman	0:38ceb79fef03	132	static const mbedtls_mpi_uint secp224r1_gx[] = {
kevman	0:38ceb79fef03	133	BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
kevman	0:38ceb79fef03	134	BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
kevman	0:38ceb79fef03	135	BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
kevman	0:38ceb79fef03	136	BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
kevman	0:38ceb79fef03	137	};
kevman	0:38ceb79fef03	138	static const mbedtls_mpi_uint secp224r1_gy[] = {
kevman	0:38ceb79fef03	139	BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
kevman	0:38ceb79fef03	140	BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
kevman	0:38ceb79fef03	141	BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
kevman	0:38ceb79fef03	142	BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
kevman	0:38ceb79fef03	143	};
kevman	0:38ceb79fef03	144	static const mbedtls_mpi_uint secp224r1_n[] = {
kevman	0:38ceb79fef03	145	BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
kevman	0:38ceb79fef03	146	BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	147	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	148	BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	149	};
kevman	0:38ceb79fef03	150	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kevman	0:38ceb79fef03	151
kevman	0:38ceb79fef03	152	/*
kevman	0:38ceb79fef03	153	* Domain parameters for secp256r1
kevman	0:38ceb79fef03	154	*/
kevman	0:38ceb79fef03	155	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kevman	0:38ceb79fef03	156	static const mbedtls_mpi_uint secp256r1_p[] = {
kevman	0:38ceb79fef03	157	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	158	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	159	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	160	BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	161	};
kevman	0:38ceb79fef03	162	static const mbedtls_mpi_uint secp256r1_b[] = {
kevman	0:38ceb79fef03	163	BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
kevman	0:38ceb79fef03	164	BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
kevman	0:38ceb79fef03	165	BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
kevman	0:38ceb79fef03	166	BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
kevman	0:38ceb79fef03	167	};
kevman	0:38ceb79fef03	168	static const mbedtls_mpi_uint secp256r1_gx[] = {
kevman	0:38ceb79fef03	169	BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
kevman	0:38ceb79fef03	170	BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
kevman	0:38ceb79fef03	171	BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
kevman	0:38ceb79fef03	172	BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
kevman	0:38ceb79fef03	173	};
kevman	0:38ceb79fef03	174	static const mbedtls_mpi_uint secp256r1_gy[] = {
kevman	0:38ceb79fef03	175	BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
kevman	0:38ceb79fef03	176	BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
kevman	0:38ceb79fef03	177	BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
kevman	0:38ceb79fef03	178	BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
kevman	0:38ceb79fef03	179	};
kevman	0:38ceb79fef03	180	static const mbedtls_mpi_uint secp256r1_n[] = {
kevman	0:38ceb79fef03	181	BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
kevman	0:38ceb79fef03	182	BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
kevman	0:38ceb79fef03	183	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	184	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	185	};
kevman	0:38ceb79fef03	186	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kevman	0:38ceb79fef03	187
kevman	0:38ceb79fef03	188	/*
kevman	0:38ceb79fef03	189	* Domain parameters for secp384r1
kevman	0:38ceb79fef03	190	*/
kevman	0:38ceb79fef03	191	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kevman	0:38ceb79fef03	192	static const mbedtls_mpi_uint secp384r1_p[] = {
kevman	0:38ceb79fef03	193	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	194	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	195	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	196	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	197	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	198	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	199	};
kevman	0:38ceb79fef03	200	static const mbedtls_mpi_uint secp384r1_b[] = {
kevman	0:38ceb79fef03	201	BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
kevman	0:38ceb79fef03	202	BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
kevman	0:38ceb79fef03	203	BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
kevman	0:38ceb79fef03	204	BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
kevman	0:38ceb79fef03	205	BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
kevman	0:38ceb79fef03	206	BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
kevman	0:38ceb79fef03	207	};
kevman	0:38ceb79fef03	208	static const mbedtls_mpi_uint secp384r1_gx[] = {
kevman	0:38ceb79fef03	209	BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
kevman	0:38ceb79fef03	210	BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
kevman	0:38ceb79fef03	211	BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
kevman	0:38ceb79fef03	212	BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
kevman	0:38ceb79fef03	213	BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
kevman	0:38ceb79fef03	214	BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
kevman	0:38ceb79fef03	215	};
kevman	0:38ceb79fef03	216	static const mbedtls_mpi_uint secp384r1_gy[] = {
kevman	0:38ceb79fef03	217	BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
kevman	0:38ceb79fef03	218	BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
kevman	0:38ceb79fef03	219	BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
kevman	0:38ceb79fef03	220	BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
kevman	0:38ceb79fef03	221	BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
kevman	0:38ceb79fef03	222	BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
kevman	0:38ceb79fef03	223	};
kevman	0:38ceb79fef03	224	static const mbedtls_mpi_uint secp384r1_n[] = {
kevman	0:38ceb79fef03	225	BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
kevman	0:38ceb79fef03	226	BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
kevman	0:38ceb79fef03	227	BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
kevman	0:38ceb79fef03	228	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	229	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	230	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	231	};
kevman	0:38ceb79fef03	232	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kevman	0:38ceb79fef03	233
kevman	0:38ceb79fef03	234	/*
kevman	0:38ceb79fef03	235	* Domain parameters for secp521r1
kevman	0:38ceb79fef03	236	*/
kevman	0:38ceb79fef03	237	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kevman	0:38ceb79fef03	238	static const mbedtls_mpi_uint secp521r1_p[] = {
kevman	0:38ceb79fef03	239	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	240	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	241	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	242	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	243	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	244	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	245	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	246	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	247	BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
kevman	0:38ceb79fef03	248	};
kevman	0:38ceb79fef03	249	static const mbedtls_mpi_uint secp521r1_b[] = {
kevman	0:38ceb79fef03	250	BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
kevman	0:38ceb79fef03	251	BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
kevman	0:38ceb79fef03	252	BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
kevman	0:38ceb79fef03	253	BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
kevman	0:38ceb79fef03	254	BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
kevman	0:38ceb79fef03	255	BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
kevman	0:38ceb79fef03	256	BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
kevman	0:38ceb79fef03	257	BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
kevman	0:38ceb79fef03	258	BYTES_TO_T_UINT_2( 0x51, 0x00 ),
kevman	0:38ceb79fef03	259	};
kevman	0:38ceb79fef03	260	static const mbedtls_mpi_uint secp521r1_gx[] = {
kevman	0:38ceb79fef03	261	BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
kevman	0:38ceb79fef03	262	BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
kevman	0:38ceb79fef03	263	BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
kevman	0:38ceb79fef03	264	BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
kevman	0:38ceb79fef03	265	BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
kevman	0:38ceb79fef03	266	BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
kevman	0:38ceb79fef03	267	BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
kevman	0:38ceb79fef03	268	BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
kevman	0:38ceb79fef03	269	BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
kevman	0:38ceb79fef03	270	};
kevman	0:38ceb79fef03	271	static const mbedtls_mpi_uint secp521r1_gy[] = {
kevman	0:38ceb79fef03	272	BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
kevman	0:38ceb79fef03	273	BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
kevman	0:38ceb79fef03	274	BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
kevman	0:38ceb79fef03	275	BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
kevman	0:38ceb79fef03	276	BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
kevman	0:38ceb79fef03	277	BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
kevman	0:38ceb79fef03	278	BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
kevman	0:38ceb79fef03	279	BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
kevman	0:38ceb79fef03	280	BYTES_TO_T_UINT_2( 0x18, 0x01 ),
kevman	0:38ceb79fef03	281	};
kevman	0:38ceb79fef03	282	static const mbedtls_mpi_uint secp521r1_n[] = {
kevman	0:38ceb79fef03	283	BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
kevman	0:38ceb79fef03	284	BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
kevman	0:38ceb79fef03	285	BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
kevman	0:38ceb79fef03	286	BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
kevman	0:38ceb79fef03	287	BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	288	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	289	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	290	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	291	BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
kevman	0:38ceb79fef03	292	};
kevman	0:38ceb79fef03	293	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kevman	0:38ceb79fef03	294
kevman	0:38ceb79fef03	295	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kevman	0:38ceb79fef03	296	static const mbedtls_mpi_uint secp192k1_p[] = {
kevman	0:38ceb79fef03	297	BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	298	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	299	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	300	};
kevman	0:38ceb79fef03	301	static const mbedtls_mpi_uint secp192k1_a[] = {
kevman	0:38ceb79fef03	302	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kevman	0:38ceb79fef03	303	};
kevman	0:38ceb79fef03	304	static const mbedtls_mpi_uint secp192k1_b[] = {
kevman	0:38ceb79fef03	305	BYTES_TO_T_UINT_2( 0x03, 0x00 ),
kevman	0:38ceb79fef03	306	};
kevman	0:38ceb79fef03	307	static const mbedtls_mpi_uint secp192k1_gx[] = {
kevman	0:38ceb79fef03	308	BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
kevman	0:38ceb79fef03	309	BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
kevman	0:38ceb79fef03	310	BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
kevman	0:38ceb79fef03	311	};
kevman	0:38ceb79fef03	312	static const mbedtls_mpi_uint secp192k1_gy[] = {
kevman	0:38ceb79fef03	313	BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
kevman	0:38ceb79fef03	314	BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
kevman	0:38ceb79fef03	315	BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
kevman	0:38ceb79fef03	316	};
kevman	0:38ceb79fef03	317	static const mbedtls_mpi_uint secp192k1_n[] = {
kevman	0:38ceb79fef03	318	BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
kevman	0:38ceb79fef03	319	BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	320	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	321	};
kevman	0:38ceb79fef03	322	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kevman	0:38ceb79fef03	323
kevman	0:38ceb79fef03	324	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kevman	0:38ceb79fef03	325	static const mbedtls_mpi_uint secp224k1_p[] = {
kevman	0:38ceb79fef03	326	BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	327	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	328	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	329	BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	330	};
kevman	0:38ceb79fef03	331	static const mbedtls_mpi_uint secp224k1_a[] = {
kevman	0:38ceb79fef03	332	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kevman	0:38ceb79fef03	333	};
kevman	0:38ceb79fef03	334	static const mbedtls_mpi_uint secp224k1_b[] = {
kevman	0:38ceb79fef03	335	BYTES_TO_T_UINT_2( 0x05, 0x00 ),
kevman	0:38ceb79fef03	336	};
kevman	0:38ceb79fef03	337	static const mbedtls_mpi_uint secp224k1_gx[] = {
kevman	0:38ceb79fef03	338	BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
kevman	0:38ceb79fef03	339	BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
kevman	0:38ceb79fef03	340	BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
kevman	0:38ceb79fef03	341	BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
kevman	0:38ceb79fef03	342	};
kevman	0:38ceb79fef03	343	static const mbedtls_mpi_uint secp224k1_gy[] = {
kevman	0:38ceb79fef03	344	BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
kevman	0:38ceb79fef03	345	BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
kevman	0:38ceb79fef03	346	BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
kevman	0:38ceb79fef03	347	BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
kevman	0:38ceb79fef03	348	};
kevman	0:38ceb79fef03	349	static const mbedtls_mpi_uint secp224k1_n[] = {
kevman	0:38ceb79fef03	350	BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
kevman	0:38ceb79fef03	351	BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
kevman	0:38ceb79fef03	352	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	353	BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
kevman	0:38ceb79fef03	354	};
kevman	0:38ceb79fef03	355	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kevman	0:38ceb79fef03	356
kevman	0:38ceb79fef03	357	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kevman	0:38ceb79fef03	358	static const mbedtls_mpi_uint secp256k1_p[] = {
kevman	0:38ceb79fef03	359	BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	360	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	361	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	362	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	363	};
kevman	0:38ceb79fef03	364	static const mbedtls_mpi_uint secp256k1_a[] = {
kevman	0:38ceb79fef03	365	BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kevman	0:38ceb79fef03	366	};
kevman	0:38ceb79fef03	367	static const mbedtls_mpi_uint secp256k1_b[] = {
kevman	0:38ceb79fef03	368	BYTES_TO_T_UINT_2( 0x07, 0x00 ),
kevman	0:38ceb79fef03	369	};
kevman	0:38ceb79fef03	370	static const mbedtls_mpi_uint secp256k1_gx[] = {
kevman	0:38ceb79fef03	371	BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
kevman	0:38ceb79fef03	372	BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
kevman	0:38ceb79fef03	373	BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
kevman	0:38ceb79fef03	374	BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
kevman	0:38ceb79fef03	375	};
kevman	0:38ceb79fef03	376	static const mbedtls_mpi_uint secp256k1_gy[] = {
kevman	0:38ceb79fef03	377	BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
kevman	0:38ceb79fef03	378	BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
kevman	0:38ceb79fef03	379	BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
kevman	0:38ceb79fef03	380	BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
kevman	0:38ceb79fef03	381	};
kevman	0:38ceb79fef03	382	static const mbedtls_mpi_uint secp256k1_n[] = {
kevman	0:38ceb79fef03	383	BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
kevman	0:38ceb79fef03	384	BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
kevman	0:38ceb79fef03	385	BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	386	BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kevman	0:38ceb79fef03	387	};
kevman	0:38ceb79fef03	388	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kevman	0:38ceb79fef03	389
kevman	0:38ceb79fef03	390	/*
kevman	0:38ceb79fef03	391	* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
kevman	0:38ceb79fef03	392	*/
kevman	0:38ceb79fef03	393	#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
kevman	0:38ceb79fef03	394	static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
kevman	0:38ceb79fef03	395	BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
kevman	0:38ceb79fef03	396	BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
kevman	0:38ceb79fef03	397	BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
kevman	0:38ceb79fef03	398	BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
kevman	0:38ceb79fef03	399	};
kevman	0:38ceb79fef03	400	static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
kevman	0:38ceb79fef03	401	BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
kevman	0:38ceb79fef03	402	BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
kevman	0:38ceb79fef03	403	BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
kevman	0:38ceb79fef03	404	BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
kevman	0:38ceb79fef03	405	};
kevman	0:38ceb79fef03	406	static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
kevman	0:38ceb79fef03	407	BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
kevman	0:38ceb79fef03	408	BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
kevman	0:38ceb79fef03	409	BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
kevman	0:38ceb79fef03	410	BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
kevman	0:38ceb79fef03	411	};
kevman	0:38ceb79fef03	412	static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
kevman	0:38ceb79fef03	413	BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
kevman	0:38ceb79fef03	414	BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
kevman	0:38ceb79fef03	415	BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
kevman	0:38ceb79fef03	416	BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
kevman	0:38ceb79fef03	417	};
kevman	0:38ceb79fef03	418	static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
kevman	0:38ceb79fef03	419	BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
kevman	0:38ceb79fef03	420	BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
kevman	0:38ceb79fef03	421	BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
kevman	0:38ceb79fef03	422	BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
kevman	0:38ceb79fef03	423	};
kevman	0:38ceb79fef03	424	static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
kevman	0:38ceb79fef03	425	BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
kevman	0:38ceb79fef03	426	BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
kevman	0:38ceb79fef03	427	BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
kevman	0:38ceb79fef03	428	BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
kevman	0:38ceb79fef03	429	};
kevman	0:38ceb79fef03	430	#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
kevman	0:38ceb79fef03	431
kevman	0:38ceb79fef03	432	/*
kevman	0:38ceb79fef03	433	* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
kevman	0:38ceb79fef03	434	*/
kevman	0:38ceb79fef03	435	#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
kevman	0:38ceb79fef03	436	static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
kevman	0:38ceb79fef03	437	BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
kevman	0:38ceb79fef03	438	BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
kevman	0:38ceb79fef03	439	BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
kevman	0:38ceb79fef03	440	BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
kevman	0:38ceb79fef03	441	BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
kevman	0:38ceb79fef03	442	BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
kevman	0:38ceb79fef03	443	};
kevman	0:38ceb79fef03	444	static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
kevman	0:38ceb79fef03	445	BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
kevman	0:38ceb79fef03	446	BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
kevman	0:38ceb79fef03	447	BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
kevman	0:38ceb79fef03	448	BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
kevman	0:38ceb79fef03	449	BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
kevman	0:38ceb79fef03	450	BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
kevman	0:38ceb79fef03	451	};
kevman	0:38ceb79fef03	452	static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
kevman	0:38ceb79fef03	453	BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
kevman	0:38ceb79fef03	454	BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
kevman	0:38ceb79fef03	455	BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
kevman	0:38ceb79fef03	456	BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
kevman	0:38ceb79fef03	457	BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
kevman	0:38ceb79fef03	458	BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
kevman	0:38ceb79fef03	459	};
kevman	0:38ceb79fef03	460	static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
kevman	0:38ceb79fef03	461	BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
kevman	0:38ceb79fef03	462	BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
kevman	0:38ceb79fef03	463	BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
kevman	0:38ceb79fef03	464	BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
kevman	0:38ceb79fef03	465	BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
kevman	0:38ceb79fef03	466	BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
kevman	0:38ceb79fef03	467	};
kevman	0:38ceb79fef03	468	static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
kevman	0:38ceb79fef03	469	BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
kevman	0:38ceb79fef03	470	BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
kevman	0:38ceb79fef03	471	BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
kevman	0:38ceb79fef03	472	BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
kevman	0:38ceb79fef03	473	BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
kevman	0:38ceb79fef03	474	BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
kevman	0:38ceb79fef03	475	};
kevman	0:38ceb79fef03	476	static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
kevman	0:38ceb79fef03	477	BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
kevman	0:38ceb79fef03	478	BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
kevman	0:38ceb79fef03	479	BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
kevman	0:38ceb79fef03	480	BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
kevman	0:38ceb79fef03	481	BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
kevman	0:38ceb79fef03	482	BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
kevman	0:38ceb79fef03	483	};
kevman	0:38ceb79fef03	484	#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
kevman	0:38ceb79fef03	485
kevman	0:38ceb79fef03	486	/*
kevman	0:38ceb79fef03	487	* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
kevman	0:38ceb79fef03	488	*/
kevman	0:38ceb79fef03	489	#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
kevman	0:38ceb79fef03	490	static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
kevman	0:38ceb79fef03	491	BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
kevman	0:38ceb79fef03	492	BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
kevman	0:38ceb79fef03	493	BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
kevman	0:38ceb79fef03	494	BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
kevman	0:38ceb79fef03	495	BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
kevman	0:38ceb79fef03	496	BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
kevman	0:38ceb79fef03	497	BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
kevman	0:38ceb79fef03	498	BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
kevman	0:38ceb79fef03	499	};
kevman	0:38ceb79fef03	500	static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
kevman	0:38ceb79fef03	501	BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
kevman	0:38ceb79fef03	502	BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
kevman	0:38ceb79fef03	503	BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
kevman	0:38ceb79fef03	504	BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
kevman	0:38ceb79fef03	505	BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
kevman	0:38ceb79fef03	506	BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
kevman	0:38ceb79fef03	507	BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
kevman	0:38ceb79fef03	508	BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
kevman	0:38ceb79fef03	509	};
kevman	0:38ceb79fef03	510	static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
kevman	0:38ceb79fef03	511	BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
kevman	0:38ceb79fef03	512	BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
kevman	0:38ceb79fef03	513	BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
kevman	0:38ceb79fef03	514	BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
kevman	0:38ceb79fef03	515	BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
kevman	0:38ceb79fef03	516	BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
kevman	0:38ceb79fef03	517	BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
kevman	0:38ceb79fef03	518	BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
kevman	0:38ceb79fef03	519	};
kevman	0:38ceb79fef03	520	static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
kevman	0:38ceb79fef03	521	BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
kevman	0:38ceb79fef03	522	BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
kevman	0:38ceb79fef03	523	BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
kevman	0:38ceb79fef03	524	BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
kevman	0:38ceb79fef03	525	BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
kevman	0:38ceb79fef03	526	BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
kevman	0:38ceb79fef03	527	BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
kevman	0:38ceb79fef03	528	BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
kevman	0:38ceb79fef03	529	};
kevman	0:38ceb79fef03	530	static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
kevman	0:38ceb79fef03	531	BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
kevman	0:38ceb79fef03	532	BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
kevman	0:38ceb79fef03	533	BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
kevman	0:38ceb79fef03	534	BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
kevman	0:38ceb79fef03	535	BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
kevman	0:38ceb79fef03	536	BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
kevman	0:38ceb79fef03	537	BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
kevman	0:38ceb79fef03	538	BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
kevman	0:38ceb79fef03	539	};
kevman	0:38ceb79fef03	540	static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
kevman	0:38ceb79fef03	541	BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
kevman	0:38ceb79fef03	542	BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
kevman	0:38ceb79fef03	543	BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
kevman	0:38ceb79fef03	544	BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
kevman	0:38ceb79fef03	545	BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
kevman	0:38ceb79fef03	546	BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
kevman	0:38ceb79fef03	547	BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
kevman	0:38ceb79fef03	548	BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
kevman	0:38ceb79fef03	549	};
kevman	0:38ceb79fef03	550	#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
kevman	0:38ceb79fef03	551
kevman	0:38ceb79fef03	552	/*
kevman	0:38ceb79fef03	553	* Create an MPI from embedded constants
kevman	0:38ceb79fef03	554	* (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
kevman	0:38ceb79fef03	555	*/
kevman	0:38ceb79fef03	556	static inline void ecp_mpi_load( mbedtls_mpi X, const mbedtls_mpi_uint p, size_t len )
kevman	0:38ceb79fef03	557	{
kevman	0:38ceb79fef03	558	X->s = 1;
kevman	0:38ceb79fef03	559	X->n = len / sizeof( mbedtls_mpi_uint );
kevman	0:38ceb79fef03	560	X->p = (mbedtls_mpi_uint *) p;
kevman	0:38ceb79fef03	561	}
kevman	0:38ceb79fef03	562
kevman	0:38ceb79fef03	563	/*
kevman	0:38ceb79fef03	564	* Set an MPI to static value 1
kevman	0:38ceb79fef03	565	*/
kevman	0:38ceb79fef03	566	static inline void ecp_mpi_set1( mbedtls_mpi *X )
kevman	0:38ceb79fef03	567	{
kevman	0:38ceb79fef03	568	static mbedtls_mpi_uint one[] = { 1 };
kevman	0:38ceb79fef03	569	X->s = 1;
kevman	0:38ceb79fef03	570	X->n = 1;
kevman	0:38ceb79fef03	571	X->p = one;
kevman	0:38ceb79fef03	572	}
kevman	0:38ceb79fef03	573
kevman	0:38ceb79fef03	574	/*
kevman	0:38ceb79fef03	575	* Make group available from embedded constants
kevman	0:38ceb79fef03	576	*/
kevman	0:38ceb79fef03	577	static int ecp_group_load( mbedtls_ecp_group *grp,
kevman	0:38ceb79fef03	578	const mbedtls_mpi_uint *p, size_t plen,
kevman	0:38ceb79fef03	579	const mbedtls_mpi_uint *a, size_t alen,
kevman	0:38ceb79fef03	580	const mbedtls_mpi_uint *b, size_t blen,
kevman	0:38ceb79fef03	581	const mbedtls_mpi_uint *gx, size_t gxlen,
kevman	0:38ceb79fef03	582	const mbedtls_mpi_uint *gy, size_t gylen,
kevman	0:38ceb79fef03	583	const mbedtls_mpi_uint *n, size_t nlen)
kevman	0:38ceb79fef03	584	{
kevman	0:38ceb79fef03	585	ecp_mpi_load( &grp->P, p, plen );
kevman	0:38ceb79fef03	586	if( a != NULL )
kevman	0:38ceb79fef03	587	ecp_mpi_load( &grp->A, a, alen );
kevman	0:38ceb79fef03	588	ecp_mpi_load( &grp->B, b, blen );
kevman	0:38ceb79fef03	589	ecp_mpi_load( &grp->N, n, nlen );
kevman	0:38ceb79fef03	590
kevman	0:38ceb79fef03	591	ecp_mpi_load( &grp->G.X, gx, gxlen );
kevman	0:38ceb79fef03	592	ecp_mpi_load( &grp->G.Y, gy, gylen );
kevman	0:38ceb79fef03	593	ecp_mpi_set1( &grp->G.Z );
kevman	0:38ceb79fef03	594
kevman	0:38ceb79fef03	595	grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kevman	0:38ceb79fef03	596	grp->nbits = mbedtls_mpi_bitlen( &grp->N );
kevman	0:38ceb79fef03	597
kevman	0:38ceb79fef03	598	grp->h = 1;
kevman	0:38ceb79fef03	599
kevman	0:38ceb79fef03	600	return( 0 );
kevman	0:38ceb79fef03	601	}
kevman	0:38ceb79fef03	602
kevman	0:38ceb79fef03	603	#if defined(MBEDTLS_ECP_NIST_OPTIM)
kevman	0:38ceb79fef03	604	/* Forward declarations */
kevman	0:38ceb79fef03	605	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kevman	0:38ceb79fef03	606	static int ecp_mod_p192( mbedtls_mpi * );
kevman	0:38ceb79fef03	607	#endif
kevman	0:38ceb79fef03	608	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kevman	0:38ceb79fef03	609	static int ecp_mod_p224( mbedtls_mpi * );
kevman	0:38ceb79fef03	610	#endif
kevman	0:38ceb79fef03	611	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kevman	0:38ceb79fef03	612	static int ecp_mod_p256( mbedtls_mpi * );
kevman	0:38ceb79fef03	613	#endif
kevman	0:38ceb79fef03	614	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kevman	0:38ceb79fef03	615	static int ecp_mod_p384( mbedtls_mpi * );
kevman	0:38ceb79fef03	616	#endif
kevman	0:38ceb79fef03	617	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kevman	0:38ceb79fef03	618	static int ecp_mod_p521( mbedtls_mpi * );
kevman	0:38ceb79fef03	619	#endif
kevman	0:38ceb79fef03	620
kevman	0:38ceb79fef03	621	#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
kevman	0:38ceb79fef03	622	#else
kevman	0:38ceb79fef03	623	#define NIST_MODP( P )
kevman	0:38ceb79fef03	624	#endif /* MBEDTLS_ECP_NIST_OPTIM */
kevman	0:38ceb79fef03	625
kevman	0:38ceb79fef03	626	/* Additional forward declarations */
kevman	0:38ceb79fef03	627	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kevman	0:38ceb79fef03	628	static int ecp_mod_p255( mbedtls_mpi * );
kevman	0:38ceb79fef03	629	#endif
kevman	0:38ceb79fef03	630	#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kevman	0:38ceb79fef03	631	static int ecp_mod_p448( mbedtls_mpi * );
kevman	0:38ceb79fef03	632	#endif
kevman	0:38ceb79fef03	633	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kevman	0:38ceb79fef03	634	static int ecp_mod_p192k1( mbedtls_mpi * );
kevman	0:38ceb79fef03	635	#endif
kevman	0:38ceb79fef03	636	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kevman	0:38ceb79fef03	637	static int ecp_mod_p224k1( mbedtls_mpi * );
kevman	0:38ceb79fef03	638	#endif
kevman	0:38ceb79fef03	639	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kevman	0:38ceb79fef03	640	static int ecp_mod_p256k1( mbedtls_mpi * );
kevman	0:38ceb79fef03	641	#endif
kevman	0:38ceb79fef03	642
kevman	0:38ceb79fef03	643	#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
kevman	0:38ceb79fef03	644	G ## _p, sizeof( G ## _p ), \
kevman	0:38ceb79fef03	645	G ## _a, sizeof( G ## _a ), \
kevman	0:38ceb79fef03	646	G ## _b, sizeof( G ## _b ), \
kevman	0:38ceb79fef03	647	G ## _gx, sizeof( G ## _gx ), \
kevman	0:38ceb79fef03	648	G ## _gy, sizeof( G ## _gy ), \
kevman	0:38ceb79fef03	649	G ## _n, sizeof( G ## _n ) )
kevman	0:38ceb79fef03	650
kevman	0:38ceb79fef03	651	#define LOAD_GROUP( G ) ecp_group_load( grp, \
kevman	0:38ceb79fef03	652	G ## _p, sizeof( G ## _p ), \
kevman	0:38ceb79fef03	653	NULL, 0, \
kevman	0:38ceb79fef03	654	G ## _b, sizeof( G ## _b ), \
kevman	0:38ceb79fef03	655	G ## _gx, sizeof( G ## _gx ), \
kevman	0:38ceb79fef03	656	G ## _gy, sizeof( G ## _gy ), \
kevman	0:38ceb79fef03	657	G ## _n, sizeof( G ## _n ) )
kevman	0:38ceb79fef03	658
kevman	0:38ceb79fef03	659	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kevman	0:38ceb79fef03	660	/*
kevman	0:38ceb79fef03	661	* Specialized function for creating the Curve25519 group
kevman	0:38ceb79fef03	662	*/
kevman	0:38ceb79fef03	663	static int ecp_use_curve25519( mbedtls_ecp_group *grp )
kevman	0:38ceb79fef03	664	{
kevman	0:38ceb79fef03	665	int ret;
kevman	0:38ceb79fef03	666
kevman	0:38ceb79fef03	667	/* Actually ( A + 2 ) / 4 */
kevman	0:38ceb79fef03	668	MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
kevman	0:38ceb79fef03	669
kevman	0:38ceb79fef03	670	/* P = 2^255 - 19 */
kevman	0:38ceb79fef03	671	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
kevman	0:38ceb79fef03	672	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
kevman	0:38ceb79fef03	673	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
kevman	0:38ceb79fef03	674	grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kevman	0:38ceb79fef03	675
kevman	0:38ceb79fef03	676	/* N = 2^252 + 27742317777372353535851937790883648493 */
kevman	0:38ceb79fef03	677	MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
kevman	0:38ceb79fef03	678	"14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
kevman	0:38ceb79fef03	679	MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
kevman	0:38ceb79fef03	680
kevman	0:38ceb79fef03	681	/* Y intentionally not set, since we use x/z coordinates.
kevman	0:38ceb79fef03	682	* This is used as a marker to identify Montgomery curves! */
kevman	0:38ceb79fef03	683	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
kevman	0:38ceb79fef03	684	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
kevman	0:38ceb79fef03	685	mbedtls_mpi_free( &grp->G.Y );
kevman	0:38ceb79fef03	686
kevman	0:38ceb79fef03	687	/* Actually, the required msb for private keys */
kevman	0:38ceb79fef03	688	grp->nbits = 254;
kevman	0:38ceb79fef03	689
kevman	0:38ceb79fef03	690	cleanup:
kevman	0:38ceb79fef03	691	if( ret != 0 )
kevman	0:38ceb79fef03	692	mbedtls_ecp_group_free( grp );
kevman	0:38ceb79fef03	693
kevman	0:38ceb79fef03	694	return( ret );
kevman	0:38ceb79fef03	695	}
kevman	0:38ceb79fef03	696	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kevman	0:38ceb79fef03	697
kevman	0:38ceb79fef03	698	#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kevman	0:38ceb79fef03	699	/*
kevman	0:38ceb79fef03	700	* Specialized function for creating the Curve448 group
kevman	0:38ceb79fef03	701	*/
kevman	0:38ceb79fef03	702	static int ecp_use_curve448( mbedtls_ecp_group *grp )
kevman	0:38ceb79fef03	703	{
kevman	0:38ceb79fef03	704	mbedtls_mpi Ns;
kevman	0:38ceb79fef03	705	int ret;
kevman	0:38ceb79fef03	706
kevman	0:38ceb79fef03	707	mbedtls_mpi_init( &Ns );
kevman	0:38ceb79fef03	708
kevman	0:38ceb79fef03	709	/* Actually ( A + 2 ) / 4 */
kevman	0:38ceb79fef03	710	MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
kevman	0:38ceb79fef03	711
kevman	0:38ceb79fef03	712	/* P = 2^448 - 2^224 - 1 */
kevman	0:38ceb79fef03	713	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
kevman	0:38ceb79fef03	714	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
kevman	0:38ceb79fef03	715	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
kevman	0:38ceb79fef03	716	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
kevman	0:38ceb79fef03	717	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
kevman	0:38ceb79fef03	718	grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kevman	0:38ceb79fef03	719
kevman	0:38ceb79fef03	720	/* Y intentionally not set, since we use x/z coordinates.
kevman	0:38ceb79fef03	721	* This is used as a marker to identify Montgomery curves! */
kevman	0:38ceb79fef03	722	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
kevman	0:38ceb79fef03	723	MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
kevman	0:38ceb79fef03	724	mbedtls_mpi_free( &grp->G.Y );
kevman	0:38ceb79fef03	725
kevman	0:38ceb79fef03	726	/* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
kevman	0:38ceb79fef03	727	MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
kevman	0:38ceb79fef03	728	MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
kevman	0:38ceb79fef03	729	"8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
kevman	0:38ceb79fef03	730	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
kevman	0:38ceb79fef03	731
kevman	0:38ceb79fef03	732	/* Actually, the required msb for private keys */
kevman	0:38ceb79fef03	733	grp->nbits = 447;
kevman	0:38ceb79fef03	734
kevman	0:38ceb79fef03	735	cleanup:
kevman	0:38ceb79fef03	736	mbedtls_mpi_free( &Ns );
kevman	0:38ceb79fef03	737	if( ret != 0 )
kevman	0:38ceb79fef03	738	mbedtls_ecp_group_free( grp );
kevman	0:38ceb79fef03	739
kevman	0:38ceb79fef03	740	return( ret );
kevman	0:38ceb79fef03	741	}
kevman	0:38ceb79fef03	742	#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kevman	0:38ceb79fef03	743
kevman	0:38ceb79fef03	744	/*
kevman	0:38ceb79fef03	745	* Set a group using well-known domain parameters
kevman	0:38ceb79fef03	746	*/
kevman	0:38ceb79fef03	747	int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
kevman	0:38ceb79fef03	748	{
kevman	0:38ceb79fef03	749	mbedtls_ecp_group_free( grp );
kevman	0:38ceb79fef03	750
kevman	0:38ceb79fef03	751	grp->id = id;
kevman	0:38ceb79fef03	752
kevman	0:38ceb79fef03	753	switch( id )
kevman	0:38ceb79fef03	754	{
kevman	0:38ceb79fef03	755	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kevman	0:38ceb79fef03	756	case MBEDTLS_ECP_DP_SECP192R1:
kevman	0:38ceb79fef03	757	NIST_MODP( p192 );
kevman	0:38ceb79fef03	758	return( LOAD_GROUP( secp192r1 ) );
kevman	0:38ceb79fef03	759	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kevman	0:38ceb79fef03	760
kevman	0:38ceb79fef03	761	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kevman	0:38ceb79fef03	762	case MBEDTLS_ECP_DP_SECP224R1:
kevman	0:38ceb79fef03	763	NIST_MODP( p224 );
kevman	0:38ceb79fef03	764	return( LOAD_GROUP( secp224r1 ) );
kevman	0:38ceb79fef03	765	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kevman	0:38ceb79fef03	766
kevman	0:38ceb79fef03	767	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kevman	0:38ceb79fef03	768	case MBEDTLS_ECP_DP_SECP256R1:
kevman	0:38ceb79fef03	769	NIST_MODP( p256 );
kevman	0:38ceb79fef03	770	return( LOAD_GROUP( secp256r1 ) );
kevman	0:38ceb79fef03	771	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kevman	0:38ceb79fef03	772
kevman	0:38ceb79fef03	773	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kevman	0:38ceb79fef03	774	case MBEDTLS_ECP_DP_SECP384R1:
kevman	0:38ceb79fef03	775	NIST_MODP( p384 );
kevman	0:38ceb79fef03	776	return( LOAD_GROUP( secp384r1 ) );
kevman	0:38ceb79fef03	777	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kevman	0:38ceb79fef03	778
kevman	0:38ceb79fef03	779	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kevman	0:38ceb79fef03	780	case MBEDTLS_ECP_DP_SECP521R1:
kevman	0:38ceb79fef03	781	NIST_MODP( p521 );
kevman	0:38ceb79fef03	782	return( LOAD_GROUP( secp521r1 ) );
kevman	0:38ceb79fef03	783	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kevman	0:38ceb79fef03	784
kevman	0:38ceb79fef03	785	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kevman	0:38ceb79fef03	786	case MBEDTLS_ECP_DP_SECP192K1:
kevman	0:38ceb79fef03	787	grp->modp = ecp_mod_p192k1;
kevman	0:38ceb79fef03	788	return( LOAD_GROUP_A( secp192k1 ) );
kevman	0:38ceb79fef03	789	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kevman	0:38ceb79fef03	790
kevman	0:38ceb79fef03	791	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kevman	0:38ceb79fef03	792	case MBEDTLS_ECP_DP_SECP224K1:
kevman	0:38ceb79fef03	793	grp->modp = ecp_mod_p224k1;
kevman	0:38ceb79fef03	794	return( LOAD_GROUP_A( secp224k1 ) );
kevman	0:38ceb79fef03	795	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kevman	0:38ceb79fef03	796
kevman	0:38ceb79fef03	797	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kevman	0:38ceb79fef03	798	case MBEDTLS_ECP_DP_SECP256K1:
kevman	0:38ceb79fef03	799	grp->modp = ecp_mod_p256k1;
kevman	0:38ceb79fef03	800	return( LOAD_GROUP_A( secp256k1 ) );
kevman	0:38ceb79fef03	801	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kevman	0:38ceb79fef03	802
kevman	0:38ceb79fef03	803	#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
kevman	0:38ceb79fef03	804	case MBEDTLS_ECP_DP_BP256R1:
kevman	0:38ceb79fef03	805	return( LOAD_GROUP_A( brainpoolP256r1 ) );
kevman	0:38ceb79fef03	806	#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
kevman	0:38ceb79fef03	807
kevman	0:38ceb79fef03	808	#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
kevman	0:38ceb79fef03	809	case MBEDTLS_ECP_DP_BP384R1:
kevman	0:38ceb79fef03	810	return( LOAD_GROUP_A( brainpoolP384r1 ) );
kevman	0:38ceb79fef03	811	#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
kevman	0:38ceb79fef03	812
kevman	0:38ceb79fef03	813	#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
kevman	0:38ceb79fef03	814	case MBEDTLS_ECP_DP_BP512R1:
kevman	0:38ceb79fef03	815	return( LOAD_GROUP_A( brainpoolP512r1 ) );
kevman	0:38ceb79fef03	816	#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
kevman	0:38ceb79fef03	817
kevman	0:38ceb79fef03	818	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kevman	0:38ceb79fef03	819	case MBEDTLS_ECP_DP_CURVE25519:
kevman	0:38ceb79fef03	820	grp->modp = ecp_mod_p255;
kevman	0:38ceb79fef03	821	return( ecp_use_curve25519( grp ) );
kevman	0:38ceb79fef03	822	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kevman	0:38ceb79fef03	823
kevman	0:38ceb79fef03	824	#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kevman	0:38ceb79fef03	825	case MBEDTLS_ECP_DP_CURVE448:
kevman	0:38ceb79fef03	826	grp->modp = ecp_mod_p448;
kevman	0:38ceb79fef03	827	return( ecp_use_curve448( grp ) );
kevman	0:38ceb79fef03	828	#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kevman	0:38ceb79fef03	829
kevman	0:38ceb79fef03	830	default:
kevman	0:38ceb79fef03	831	mbedtls_ecp_group_free( grp );
kevman	0:38ceb79fef03	832	return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
kevman	0:38ceb79fef03	833	}
kevman	0:38ceb79fef03	834	}
kevman	0:38ceb79fef03	835
kevman	0:38ceb79fef03	836	#if defined(MBEDTLS_ECP_NIST_OPTIM)
kevman	0:38ceb79fef03	837	/*
kevman	0:38ceb79fef03	838	* Fast reduction modulo the primes used by the NIST curves.
kevman	0:38ceb79fef03	839	*
kevman	0:38ceb79fef03	840	* These functions are critical for speed, but not needed for correct
kevman	0:38ceb79fef03	841	* operations. So, we make the choice to heavily rely on the internals of our
kevman	0:38ceb79fef03	842	* bignum library, which creates a tight coupling between these functions and
kevman	0:38ceb79fef03	843	* our MPI implementation. However, the coupling between the ECP module and
kevman	0:38ceb79fef03	844	* MPI remains loose, since these functions can be deactivated at will.
kevman	0:38ceb79fef03	845	*/
kevman	0:38ceb79fef03	846
kevman	0:38ceb79fef03	847	#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kevman	0:38ceb79fef03	848	/*
kevman	0:38ceb79fef03	849	* Compared to the way things are presented in FIPS 186-3 D.2,
kevman	0:38ceb79fef03	850	* we proceed in columns, from right (least significant chunk) to left,
kevman	0:38ceb79fef03	851	* adding chunks to N in place, and keeping a carry for the next chunk.
kevman	0:38ceb79fef03	852	* This avoids moving things around in memory, and uselessly adding zeros,
kevman	0:38ceb79fef03	853	* compared to the more straightforward, line-oriented approach.
kevman	0:38ceb79fef03	854	*
kevman	0:38ceb79fef03	855	* For this prime we need to handle data in chunks of 64 bits.
kevman	0:38ceb79fef03	856	* Since this is always a multiple of our basic mbedtls_mpi_uint, we can
kevman	0:38ceb79fef03	857	* use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
kevman	0:38ceb79fef03	858	*/
kevman	0:38ceb79fef03	859
kevman	0:38ceb79fef03	860	/* Add 64-bit chunks (dst += src) and update carry */
kevman	0:38ceb79fef03	861	static inline void add64( mbedtls_mpi_uint dst, mbedtls_mpi_uint src, mbedtls_mpi_uint *carry )
kevman	0:38ceb79fef03	862	{
kevman	0:38ceb79fef03	863	unsigned char i;
kevman	0:38ceb79fef03	864	mbedtls_mpi_uint c = 0;
kevman	0:38ceb79fef03	865	for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
kevman	0:38ceb79fef03	866	{
kevman	0:38ceb79fef03	867	dst += c; c = ( dst < c );
kevman	0:38ceb79fef03	868	dst += src; c += ( dst < src );
kevman	0:38ceb79fef03	869	}
kevman	0:38ceb79fef03	870	*carry += c;
kevman	0:38ceb79fef03	871	}
kevman	0:38ceb79fef03	872
kevman	0:38ceb79fef03	873	/* Add carry to a 64-bit chunk and update carry */
kevman	0:38ceb79fef03	874	static inline void carry64( mbedtls_mpi_uint dst, mbedtls_mpi_uint carry )
kevman	0:38ceb79fef03	875	{
kevman	0:38ceb79fef03	876	unsigned char i;
kevman	0:38ceb79fef03	877	for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
kevman	0:38ceb79fef03	878	{
kevman	0:38ceb79fef03	879	dst += carry;
kevman	0:38ceb79fef03	880	carry = ( dst < *carry );
kevman	0:38ceb79fef03	881	}
kevman	0:38ceb79fef03	882	}
kevman	0:38ceb79fef03	883
kevman	0:38ceb79fef03	884	#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
kevman	0:38ceb79fef03	885	#define A( i ) N->p + i * WIDTH
kevman	0:38ceb79fef03	886	#define ADD( i ) add64( p, A( i ), &c )
kevman	0:38ceb79fef03	887	#define NEXT p += WIDTH; carry64( p, &c )
kevman	0:38ceb79fef03	888	#define LAST p += WIDTH; p = c; while( ++p < end ) p = 0
kevman	0:38ceb79fef03	889
kevman	0:38ceb79fef03	890	/*
kevman	0:38ceb79fef03	891	* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
kevman	0:38ceb79fef03	892	*/
kevman	0:38ceb79fef03	893	static int ecp_mod_p192( mbedtls_mpi *N )
kevman	0:38ceb79fef03	894	{
kevman	0:38ceb79fef03	895	int ret;
kevman	0:38ceb79fef03	896	mbedtls_mpi_uint c = 0;
kevman	0:38ceb79fef03	897	mbedtls_mpi_uint p, end;
kevman	0:38ceb79fef03	898
kevman	0:38ceb79fef03	899	/* Make sure we have enough blocks so that A(5) is legal */
kevman	0:38ceb79fef03	900	MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
kevman	0:38ceb79fef03	901
kevman	0:38ceb79fef03	902	p = N->p;
kevman	0:38ceb79fef03	903	end = p + N->n;
kevman	0:38ceb79fef03	904
kevman	0:38ceb79fef03	905	ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
kevman	0:38ceb79fef03	906	ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
kevman	0:38ceb79fef03	907	ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
kevman	0:38ceb79fef03	908
kevman	0:38ceb79fef03	909	cleanup:
kevman	0:38ceb79fef03	910	return( ret );
kevman	0:38ceb79fef03	911	}
kevman	0:38ceb79fef03	912
kevman	0:38ceb79fef03	913	#undef WIDTH
kevman	0:38ceb79fef03	914	#undef A
kevman	0:38ceb79fef03	915	#undef ADD
kevman	0:38ceb79fef03	916	#undef NEXT
kevman	0:38ceb79fef03	917	#undef LAST
kevman	0:38ceb79fef03	918	#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kevman	0:38ceb79fef03	919
kevman	0:38ceb79fef03	920	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) \|\| \
kevman	0:38ceb79fef03	921	defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) \|\| \
kevman	0:38ceb79fef03	922	defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kevman	0:38ceb79fef03	923	/*
kevman	0:38ceb79fef03	924	* The reader is advised to first understand ecp_mod_p192() since the same
kevman	0:38ceb79fef03	925	* general structure is used here, but with additional complications:
kevman	0:38ceb79fef03	926	* (1) chunks of 32 bits, and (2) subtractions.
kevman	0:38ceb79fef03	927	*/
kevman	0:38ceb79fef03	928
kevman	0:38ceb79fef03	929	/*
kevman	0:38ceb79fef03	930	* For these primes, we need to handle data in chunks of 32 bits.
kevman	0:38ceb79fef03	931	* This makes it more complicated if we use 64 bits limbs in MPI,
kevman	0:38ceb79fef03	932	* which prevents us from using a uniform access method as for p192.
kevman	0:38ceb79fef03	933	*
kevman	0:38ceb79fef03	934	* So, we define a mini abstraction layer to access 32 bit chunks,
kevman	0:38ceb79fef03	935	* load them in 'cur' for work, and store them back from 'cur' when done.
kevman	0:38ceb79fef03	936	*
kevman	0:38ceb79fef03	937	* While at it, also define the size of N in terms of 32-bit chunks.
kevman	0:38ceb79fef03	938	*/
kevman	0:38ceb79fef03	939	#define LOAD32 cur = A( i );
kevman	0:38ceb79fef03	940
kevman	0:38ceb79fef03	941	#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
kevman	0:38ceb79fef03	942
kevman	0:38ceb79fef03	943	#define MAX32 N->n
kevman	0:38ceb79fef03	944	#define A( j ) N->p[j]
kevman	0:38ceb79fef03	945	#define STORE32 N->p[i] = cur;
kevman	0:38ceb79fef03	946
kevman	0:38ceb79fef03	947	#else /* 64-bit */
kevman	0:38ceb79fef03	948
kevman	0:38ceb79fef03	949	#define MAX32 N->n * 2
kevman	0:38ceb79fef03	950	#define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
kevman	0:38ceb79fef03	951	#define STORE32 \
kevman	0:38ceb79fef03	952	if( i % 2 ) { \
kevman	0:38ceb79fef03	953	N->p[i/2] &= 0x00000000FFFFFFFF; \
kevman	0:38ceb79fef03	954	N->p[i/2] \|= ((mbedtls_mpi_uint) cur) << 32; \
kevman	0:38ceb79fef03	955	} else { \
kevman	0:38ceb79fef03	956	N->p[i/2] &= 0xFFFFFFFF00000000; \
kevman	0:38ceb79fef03	957	N->p[i/2] \|= (mbedtls_mpi_uint) cur; \
kevman	0:38ceb79fef03	958	}
kevman	0:38ceb79fef03	959
kevman	0:38ceb79fef03	960	#endif /* sizeof( mbedtls_mpi_uint ) */
kevman	0:38ceb79fef03	961
kevman	0:38ceb79fef03	962	/*
kevman	0:38ceb79fef03	963	* Helpers for addition and subtraction of chunks, with signed carry.
kevman	0:38ceb79fef03	964	*/
kevman	0:38ceb79fef03	965	static inline void add32( uint32_t dst, uint32_t src, signed char carry )
kevman	0:38ceb79fef03	966	{
kevman	0:38ceb79fef03	967	*dst += src;
kevman	0:38ceb79fef03	968	carry += ( dst < src );
kevman	0:38ceb79fef03	969	}
kevman	0:38ceb79fef03	970
kevman	0:38ceb79fef03	971	static inline void sub32( uint32_t dst, uint32_t src, signed char carry )
kevman	0:38ceb79fef03	972	{
kevman	0:38ceb79fef03	973	carry -= ( dst < src );
kevman	0:38ceb79fef03	974	*dst -= src;
kevman	0:38ceb79fef03	975	}
kevman	0:38ceb79fef03	976
kevman	0:38ceb79fef03	977	#define ADD( j ) add32( &cur, A( j ), &c );
kevman	0:38ceb79fef03	978	#define SUB( j ) sub32( &cur, A( j ), &c );
kevman	0:38ceb79fef03	979
kevman	0:38ceb79fef03	980	/*
kevman	0:38ceb79fef03	981	* Helpers for the main 'loop'
kevman	0:38ceb79fef03	982	* (see fix_negative for the motivation of C)
kevman	0:38ceb79fef03	983	*/
kevman	0:38ceb79fef03	984	#define INIT( b ) \
kevman	0:38ceb79fef03	985	int ret; \
kevman	0:38ceb79fef03	986	signed char c = 0, cc; \
kevman	0:38ceb79fef03	987	uint32_t cur; \
kevman	0:38ceb79fef03	988	size_t i = 0, bits = b; \
kevman	0:38ceb79fef03	989	mbedtls_mpi C; \
kevman	0:38ceb79fef03	990	mbedtls_mpi_uint Cp[ b / 8 / sizeof( mbedtls_mpi_uint) + 1 ]; \
kevman	0:38ceb79fef03	991	\
kevman	0:38ceb79fef03	992	C.s = 1; \
kevman	0:38ceb79fef03	993	C.n = b / 8 / sizeof( mbedtls_mpi_uint) + 1; \
kevman	0:38ceb79fef03	994	C.p = Cp; \
kevman	0:38ceb79fef03	995	memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) ); \
kevman	0:38ceb79fef03	996	\
kevman	0:38ceb79fef03	997	MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, b * 2 / 8 / sizeof( mbedtls_mpi_uint ) ) ); \
kevman	0:38ceb79fef03	998	LOAD32;
kevman	0:38ceb79fef03	999
kevman	0:38ceb79fef03	1000	#define NEXT \
kevman	0:38ceb79fef03	1001	STORE32; i++; LOAD32; \
kevman	0:38ceb79fef03	1002	cc = c; c = 0; \
kevman	0:38ceb79fef03	1003	if( cc < 0 ) \
kevman	0:38ceb79fef03	1004	sub32( &cur, -cc, &c ); \
kevman	0:38ceb79fef03	1005	else \
kevman	0:38ceb79fef03	1006	add32( &cur, cc, &c ); \
kevman	0:38ceb79fef03	1007
kevman	0:38ceb79fef03	1008	#define LAST \
kevman	0:38ceb79fef03	1009	STORE32; i++; \
kevman	0:38ceb79fef03	1010	cur = c > 0 ? c : 0; STORE32; \
kevman	0:38ceb79fef03	1011	cur = 0; while( ++i < MAX32 ) { STORE32; } \
kevman	0:38ceb79fef03	1012	if( c < 0 ) fix_negative( N, c, &C, bits );
kevman	0:38ceb79fef03	1013
kevman	0:38ceb79fef03	1014	/*
kevman	0:38ceb79fef03	1015	* If the result is negative, we get it in the form
kevman	0:38ceb79fef03	1016	* c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
kevman	0:38ceb79fef03	1017	*/
kevman	0:38ceb79fef03	1018	static inline int fix_negative( mbedtls_mpi N, signed char c, mbedtls_mpi C, size_t bits )
kevman	0:38ceb79fef03	1019	{
kevman	0:38ceb79fef03	1020	int ret;
kevman	0:38ceb79fef03	1021
kevman	0:38ceb79fef03	1022	/* C = - c * 2^(bits + 32) */
kevman	0:38ceb79fef03	1023	#if !defined(MBEDTLS_HAVE_INT64)
kevman	0:38ceb79fef03	1024	((void) bits);
kevman	0:38ceb79fef03	1025	#else
kevman	0:38ceb79fef03	1026	if( bits == 224 )
kevman	0:38ceb79fef03	1027	C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
kevman	0:38ceb79fef03	1028	else
kevman	0:38ceb79fef03	1029	#endif
kevman	0:38ceb79fef03	1030	C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
kevman	0:38ceb79fef03	1031
kevman	0:38ceb79fef03	1032	/* N = - ( C - N ) */
kevman	0:38ceb79fef03	1033	MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
kevman	0:38ceb79fef03	1034	N->s = -1;
kevman	0:38ceb79fef03	1035
kevman	0:38ceb79fef03	1036	cleanup:
kevman	0:38ceb79fef03	1037
kevman	0:38ceb79fef03	1038	return( ret );
kevman	0:38ceb79fef03	1039	}
kevman	0:38ceb79fef03	1040
kevman	0:38ceb79fef03	1041	#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kevman	0:38ceb79fef03	1042	/*
kevman	0:38ceb79fef03	1043	* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
kevman	0:38ceb79fef03	1044	*/
kevman	0:38ceb79fef03	1045	static int ecp_mod_p224( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1046	{
kevman	0:38ceb79fef03	1047	INIT( 224 );
kevman	0:38ceb79fef03	1048
kevman	0:38ceb79fef03	1049	SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
kevman	0:38ceb79fef03	1050	SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
kevman	0:38ceb79fef03	1051	SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
kevman	0:38ceb79fef03	1052	SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
kevman	0:38ceb79fef03	1053	SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
kevman	0:38ceb79fef03	1054	SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
kevman	0:38ceb79fef03	1055	SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
kevman	0:38ceb79fef03	1056
kevman	0:38ceb79fef03	1057	cleanup:
kevman	0:38ceb79fef03	1058	return( ret );
kevman	0:38ceb79fef03	1059	}
kevman	0:38ceb79fef03	1060	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kevman	0:38ceb79fef03	1061
kevman	0:38ceb79fef03	1062	#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kevman	0:38ceb79fef03	1063	/*
kevman	0:38ceb79fef03	1064	* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
kevman	0:38ceb79fef03	1065	*/
kevman	0:38ceb79fef03	1066	static int ecp_mod_p256( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1067	{
kevman	0:38ceb79fef03	1068	INIT( 256 );
kevman	0:38ceb79fef03	1069
kevman	0:38ceb79fef03	1070	ADD( 8 ); ADD( 9 );
kevman	0:38ceb79fef03	1071	SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
kevman	0:38ceb79fef03	1072
kevman	0:38ceb79fef03	1073	ADD( 9 ); ADD( 10 );
kevman	0:38ceb79fef03	1074	SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
kevman	0:38ceb79fef03	1075
kevman	0:38ceb79fef03	1076	ADD( 10 ); ADD( 11 );
kevman	0:38ceb79fef03	1077	SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
kevman	0:38ceb79fef03	1078
kevman	0:38ceb79fef03	1079	ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
kevman	0:38ceb79fef03	1080	SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
kevman	0:38ceb79fef03	1081
kevman	0:38ceb79fef03	1082	ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
kevman	0:38ceb79fef03	1083	SUB( 9 ); SUB( 10 ); NEXT; // A4
kevman	0:38ceb79fef03	1084
kevman	0:38ceb79fef03	1085	ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
kevman	0:38ceb79fef03	1086	SUB( 10 ); SUB( 11 ); NEXT; // A5
kevman	0:38ceb79fef03	1087
kevman	0:38ceb79fef03	1088	ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
kevman	0:38ceb79fef03	1089	SUB( 8 ); SUB( 9 ); NEXT; // A6
kevman	0:38ceb79fef03	1090
kevman	0:38ceb79fef03	1091	ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
kevman	0:38ceb79fef03	1092	SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
kevman	0:38ceb79fef03	1093
kevman	0:38ceb79fef03	1094	cleanup:
kevman	0:38ceb79fef03	1095	return( ret );
kevman	0:38ceb79fef03	1096	}
kevman	0:38ceb79fef03	1097	#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kevman	0:38ceb79fef03	1098
kevman	0:38ceb79fef03	1099	#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kevman	0:38ceb79fef03	1100	/*
kevman	0:38ceb79fef03	1101	* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
kevman	0:38ceb79fef03	1102	*/
kevman	0:38ceb79fef03	1103	static int ecp_mod_p384( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1104	{
kevman	0:38ceb79fef03	1105	INIT( 384 );
kevman	0:38ceb79fef03	1106
kevman	0:38ceb79fef03	1107	ADD( 12 ); ADD( 21 ); ADD( 20 );
kevman	0:38ceb79fef03	1108	SUB( 23 ); NEXT; // A0
kevman	0:38ceb79fef03	1109
kevman	0:38ceb79fef03	1110	ADD( 13 ); ADD( 22 ); ADD( 23 );
kevman	0:38ceb79fef03	1111	SUB( 12 ); SUB( 20 ); NEXT; // A2
kevman	0:38ceb79fef03	1112
kevman	0:38ceb79fef03	1113	ADD( 14 ); ADD( 23 );
kevman	0:38ceb79fef03	1114	SUB( 13 ); SUB( 21 ); NEXT; // A2
kevman	0:38ceb79fef03	1115
kevman	0:38ceb79fef03	1116	ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
kevman	0:38ceb79fef03	1117	SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
kevman	0:38ceb79fef03	1118
kevman	0:38ceb79fef03	1119	ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
kevman	0:38ceb79fef03	1120	SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
kevman	0:38ceb79fef03	1121
kevman	0:38ceb79fef03	1122	ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
kevman	0:38ceb79fef03	1123	SUB( 16 ); NEXT; // A5
kevman	0:38ceb79fef03	1124
kevman	0:38ceb79fef03	1125	ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
kevman	0:38ceb79fef03	1126	SUB( 17 ); NEXT; // A6
kevman	0:38ceb79fef03	1127
kevman	0:38ceb79fef03	1128	ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
kevman	0:38ceb79fef03	1129	SUB( 18 ); NEXT; // A7
kevman	0:38ceb79fef03	1130
kevman	0:38ceb79fef03	1131	ADD( 20 ); ADD( 17 ); ADD( 16 );
kevman	0:38ceb79fef03	1132	SUB( 19 ); NEXT; // A8
kevman	0:38ceb79fef03	1133
kevman	0:38ceb79fef03	1134	ADD( 21 ); ADD( 18 ); ADD( 17 );
kevman	0:38ceb79fef03	1135	SUB( 20 ); NEXT; // A9
kevman	0:38ceb79fef03	1136
kevman	0:38ceb79fef03	1137	ADD( 22 ); ADD( 19 ); ADD( 18 );
kevman	0:38ceb79fef03	1138	SUB( 21 ); NEXT; // A10
kevman	0:38ceb79fef03	1139
kevman	0:38ceb79fef03	1140	ADD( 23 ); ADD( 20 ); ADD( 19 );
kevman	0:38ceb79fef03	1141	SUB( 22 ); LAST; // A11
kevman	0:38ceb79fef03	1142
kevman	0:38ceb79fef03	1143	cleanup:
kevman	0:38ceb79fef03	1144	return( ret );
kevman	0:38ceb79fef03	1145	}
kevman	0:38ceb79fef03	1146	#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kevman	0:38ceb79fef03	1147
kevman	0:38ceb79fef03	1148	#undef A
kevman	0:38ceb79fef03	1149	#undef LOAD32
kevman	0:38ceb79fef03	1150	#undef STORE32
kevman	0:38ceb79fef03	1151	#undef MAX32
kevman	0:38ceb79fef03	1152	#undef INIT
kevman	0:38ceb79fef03	1153	#undef NEXT
kevman	0:38ceb79fef03	1154	#undef LAST
kevman	0:38ceb79fef03	1155
kevman	0:38ceb79fef03	1156	#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED \|\|
kevman	0:38ceb79fef03	1157	MBEDTLS_ECP_DP_SECP256R1_ENABLED \|\|
kevman	0:38ceb79fef03	1158	MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kevman	0:38ceb79fef03	1159
kevman	0:38ceb79fef03	1160	#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kevman	0:38ceb79fef03	1161	/*
kevman	0:38ceb79fef03	1162	* Here we have an actual Mersenne prime, so things are more straightforward.
kevman	0:38ceb79fef03	1163	* However, chunks are aligned on a 'weird' boundary (521 bits).
kevman	0:38ceb79fef03	1164	*/
kevman	0:38ceb79fef03	1165
kevman	0:38ceb79fef03	1166	/* Size of p521 in terms of mbedtls_mpi_uint */
kevman	0:38ceb79fef03	1167	#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
kevman	0:38ceb79fef03	1168
kevman	0:38ceb79fef03	1169	/* Bits to keep in the most significant mbedtls_mpi_uint */
kevman	0:38ceb79fef03	1170	#define P521_MASK 0x01FF
kevman	0:38ceb79fef03	1171
kevman	0:38ceb79fef03	1172	/*
kevman	0:38ceb79fef03	1173	* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
kevman	0:38ceb79fef03	1174	* Write N as A1 + 2^521 A0, return A0 + A1
kevman	0:38ceb79fef03	1175	*/
kevman	0:38ceb79fef03	1176	static int ecp_mod_p521( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1177	{
kevman	0:38ceb79fef03	1178	int ret;
kevman	0:38ceb79fef03	1179	size_t i;
kevman	0:38ceb79fef03	1180	mbedtls_mpi M;
kevman	0:38ceb79fef03	1181	mbedtls_mpi_uint Mp[P521_WIDTH + 1];
kevman	0:38ceb79fef03	1182	/* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
kevman	0:38ceb79fef03	1183	* we need to hold bits 513 to 1056, which is 34 limbs, that is
kevman	0:38ceb79fef03	1184	* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
kevman	0:38ceb79fef03	1185
kevman	0:38ceb79fef03	1186	if( N->n < P521_WIDTH )
kevman	0:38ceb79fef03	1187	return( 0 );
kevman	0:38ceb79fef03	1188
kevman	0:38ceb79fef03	1189	/* M = A1 */
kevman	0:38ceb79fef03	1190	M.s = 1;
kevman	0:38ceb79fef03	1191	M.n = N->n - ( P521_WIDTH - 1 );
kevman	0:38ceb79fef03	1192	if( M.n > P521_WIDTH + 1 )
kevman	0:38ceb79fef03	1193	M.n = P521_WIDTH + 1;
kevman	0:38ceb79fef03	1194	M.p = Mp;
kevman	0:38ceb79fef03	1195	memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
kevman	0:38ceb79fef03	1196	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
kevman	0:38ceb79fef03	1197
kevman	0:38ceb79fef03	1198	/* N = A0 */
kevman	0:38ceb79fef03	1199	N->p[P521_WIDTH - 1] &= P521_MASK;
kevman	0:38ceb79fef03	1200	for( i = P521_WIDTH; i < N->n; i++ )
kevman	0:38ceb79fef03	1201	N->p[i] = 0;
kevman	0:38ceb79fef03	1202
kevman	0:38ceb79fef03	1203	/* N = A0 + A1 */
kevman	0:38ceb79fef03	1204	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kevman	0:38ceb79fef03	1205
kevman	0:38ceb79fef03	1206	cleanup:
kevman	0:38ceb79fef03	1207	return( ret );
kevman	0:38ceb79fef03	1208	}
kevman	0:38ceb79fef03	1209
kevman	0:38ceb79fef03	1210	#undef P521_WIDTH
kevman	0:38ceb79fef03	1211	#undef P521_MASK
kevman	0:38ceb79fef03	1212	#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kevman	0:38ceb79fef03	1213
kevman	0:38ceb79fef03	1214	#endif /* MBEDTLS_ECP_NIST_OPTIM */
kevman	0:38ceb79fef03	1215
kevman	0:38ceb79fef03	1216	#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kevman	0:38ceb79fef03	1217
kevman	0:38ceb79fef03	1218	/* Size of p255 in terms of mbedtls_mpi_uint */
kevman	0:38ceb79fef03	1219	#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
kevman	0:38ceb79fef03	1220
kevman	0:38ceb79fef03	1221	/*
kevman	0:38ceb79fef03	1222	* Fast quasi-reduction modulo p255 = 2^255 - 19
kevman	0:38ceb79fef03	1223	* Write N as A0 + 2^255 A1, return A0 + 19 * A1
kevman	0:38ceb79fef03	1224	*/
kevman	0:38ceb79fef03	1225	static int ecp_mod_p255( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1226	{
kevman	0:38ceb79fef03	1227	int ret;
kevman	0:38ceb79fef03	1228	size_t i;
kevman	0:38ceb79fef03	1229	mbedtls_mpi M;
kevman	0:38ceb79fef03	1230	mbedtls_mpi_uint Mp[P255_WIDTH + 2];
kevman	0:38ceb79fef03	1231
kevman	0:38ceb79fef03	1232	if( N->n < P255_WIDTH )
kevman	0:38ceb79fef03	1233	return( 0 );
kevman	0:38ceb79fef03	1234
kevman	0:38ceb79fef03	1235	/* M = A1 */
kevman	0:38ceb79fef03	1236	M.s = 1;
kevman	0:38ceb79fef03	1237	M.n = N->n - ( P255_WIDTH - 1 );
kevman	0:38ceb79fef03	1238	if( M.n > P255_WIDTH + 1 )
kevman	0:38ceb79fef03	1239	return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
kevman	0:38ceb79fef03	1240	M.p = Mp;
kevman	0:38ceb79fef03	1241	memset( Mp, 0, sizeof Mp );
kevman	0:38ceb79fef03	1242	memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
kevman	0:38ceb79fef03	1243	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
kevman	0:38ceb79fef03	1244	M.n++; /* Make room for multiplication by 19 */
kevman	0:38ceb79fef03	1245
kevman	0:38ceb79fef03	1246	/* N = A0 */
kevman	0:38ceb79fef03	1247	MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
kevman	0:38ceb79fef03	1248	for( i = P255_WIDTH; i < N->n; i++ )
kevman	0:38ceb79fef03	1249	N->p[i] = 0;
kevman	0:38ceb79fef03	1250
kevman	0:38ceb79fef03	1251	/* N = A0 + 19 * A1 */
kevman	0:38ceb79fef03	1252	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
kevman	0:38ceb79fef03	1253	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kevman	0:38ceb79fef03	1254
kevman	0:38ceb79fef03	1255	cleanup:
kevman	0:38ceb79fef03	1256	return( ret );
kevman	0:38ceb79fef03	1257	}
kevman	0:38ceb79fef03	1258	#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kevman	0:38ceb79fef03	1259
kevman	0:38ceb79fef03	1260	#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kevman	0:38ceb79fef03	1261
kevman	0:38ceb79fef03	1262	/* Size of p448 in terms of mbedtls_mpi_uint */
kevman	0:38ceb79fef03	1263	#define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
kevman	0:38ceb79fef03	1264
kevman	0:38ceb79fef03	1265	/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
kevman	0:38ceb79fef03	1266	#define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
kevman	0:38ceb79fef03	1267	#define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
kevman	0:38ceb79fef03	1268	#define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
kevman	0:38ceb79fef03	1269	#define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
kevman	0:38ceb79fef03	1270
kevman	0:38ceb79fef03	1271	/*
kevman	0:38ceb79fef03	1272	* Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
kevman	0:38ceb79fef03	1273	* Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
kevman	0:38ceb79fef03	1274	* A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
kevman	0:38ceb79fef03	1275	* implementation of Curve448, which uses its own special 56-bit limbs rather
kevman	0:38ceb79fef03	1276	* than a generic bignum library. We could squeeze some extra speed out on
kevman	0:38ceb79fef03	1277	* 32-bit machines by splitting N up into 32-bit limbs and doing the
kevman	0:38ceb79fef03	1278	* arithmetic using the limbs directly as we do for the NIST primes above,
kevman	0:38ceb79fef03	1279	* but for 64-bit targets it should use half the number of operations if we do
kevman	0:38ceb79fef03	1280	* the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
kevman	0:38ceb79fef03	1281	*/
kevman	0:38ceb79fef03	1282	static int ecp_mod_p448( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1283	{
kevman	0:38ceb79fef03	1284	int ret;
kevman	0:38ceb79fef03	1285	size_t i;
kevman	0:38ceb79fef03	1286	mbedtls_mpi M, Q;
kevman	0:38ceb79fef03	1287	mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
kevman	0:38ceb79fef03	1288
kevman	0:38ceb79fef03	1289	if( N->n <= P448_WIDTH )
kevman	0:38ceb79fef03	1290	return( 0 );
kevman	0:38ceb79fef03	1291
kevman	0:38ceb79fef03	1292	/* M = A1 */
kevman	0:38ceb79fef03	1293	M.s = 1;
kevman	0:38ceb79fef03	1294	M.n = N->n - ( P448_WIDTH );
kevman	0:38ceb79fef03	1295	if( M.n > P448_WIDTH )
kevman	0:38ceb79fef03	1296	/* Shouldn't be called with N larger than 2^896! */
kevman	0:38ceb79fef03	1297	return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
kevman	0:38ceb79fef03	1298	M.p = Mp;
kevman	0:38ceb79fef03	1299	memset( Mp, 0, sizeof( Mp ) );
kevman	0:38ceb79fef03	1300	memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
kevman	0:38ceb79fef03	1301
kevman	0:38ceb79fef03	1302	/* N = A0 */
kevman	0:38ceb79fef03	1303	for( i = P448_WIDTH; i < N->n; i++ )
kevman	0:38ceb79fef03	1304	N->p[i] = 0;
kevman	0:38ceb79fef03	1305
kevman	0:38ceb79fef03	1306	/* N += A1 */
kevman	0:38ceb79fef03	1307	MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
kevman	0:38ceb79fef03	1308
kevman	0:38ceb79fef03	1309	/* Q = B1, N += B1 */
kevman	0:38ceb79fef03	1310	Q = M;
kevman	0:38ceb79fef03	1311	Q.p = Qp;
kevman	0:38ceb79fef03	1312	memcpy( Qp, Mp, sizeof( Qp ) );
kevman	0:38ceb79fef03	1313	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
kevman	0:38ceb79fef03	1314	MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
kevman	0:38ceb79fef03	1315
kevman	0:38ceb79fef03	1316	/* M = (B0 + B1) * 2^224, N += M */
kevman	0:38ceb79fef03	1317	if( sizeof( mbedtls_mpi_uint ) > 4 )
kevman	0:38ceb79fef03	1318	Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
kevman	0:38ceb79fef03	1319	for( i = P224_WIDTH_MAX; i < M.n; ++i )
kevman	0:38ceb79fef03	1320	Mp[i] = 0;
kevman	0:38ceb79fef03	1321	MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
kevman	0:38ceb79fef03	1322	M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
kevman	0:38ceb79fef03	1323	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
kevman	0:38ceb79fef03	1324	MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
kevman	0:38ceb79fef03	1325
kevman	0:38ceb79fef03	1326	cleanup:
kevman	0:38ceb79fef03	1327	return( ret );
kevman	0:38ceb79fef03	1328	}
kevman	0:38ceb79fef03	1329	#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kevman	0:38ceb79fef03	1330
kevman	0:38ceb79fef03	1331	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) \|\| \
kevman	0:38ceb79fef03	1332	defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) \|\| \
kevman	0:38ceb79fef03	1333	defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kevman	0:38ceb79fef03	1334	/*
kevman	0:38ceb79fef03	1335	* Fast quasi-reduction modulo P = 2^s - R,
kevman	0:38ceb79fef03	1336	* with R about 33 bits, used by the Koblitz curves.
kevman	0:38ceb79fef03	1337	*
kevman	0:38ceb79fef03	1338	* Write N as A0 + 2^224 A1, return A0 + R * A1.
kevman	0:38ceb79fef03	1339	* Actually do two passes, since R is big.
kevman	0:38ceb79fef03	1340	*/
kevman	0:38ceb79fef03	1341	#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
kevman	0:38ceb79fef03	1342	#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
kevman	0:38ceb79fef03	1343	static inline int ecp_mod_koblitz( mbedtls_mpi N, mbedtls_mpi_uint Rp, size_t p_limbs,
kevman	0:38ceb79fef03	1344	size_t adjust, size_t shift, mbedtls_mpi_uint mask )
kevman	0:38ceb79fef03	1345	{
kevman	0:38ceb79fef03	1346	int ret;
kevman	0:38ceb79fef03	1347	size_t i;
kevman	0:38ceb79fef03	1348	mbedtls_mpi M, R;
kevman	0:38ceb79fef03	1349	mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
kevman	0:38ceb79fef03	1350
kevman	0:38ceb79fef03	1351	if( N->n < p_limbs )
kevman	0:38ceb79fef03	1352	return( 0 );
kevman	0:38ceb79fef03	1353
kevman	0:38ceb79fef03	1354	/* Init R */
kevman	0:38ceb79fef03	1355	R.s = 1;
kevman	0:38ceb79fef03	1356	R.p = Rp;
kevman	0:38ceb79fef03	1357	R.n = P_KOBLITZ_R;
kevman	0:38ceb79fef03	1358
kevman	0:38ceb79fef03	1359	/* Common setup for M */
kevman	0:38ceb79fef03	1360	M.s = 1;
kevman	0:38ceb79fef03	1361	M.p = Mp;
kevman	0:38ceb79fef03	1362
kevman	0:38ceb79fef03	1363	/* M = A1 */
kevman	0:38ceb79fef03	1364	M.n = N->n - ( p_limbs - adjust );
kevman	0:38ceb79fef03	1365	if( M.n > p_limbs + adjust )
kevman	0:38ceb79fef03	1366	M.n = p_limbs + adjust;
kevman	0:38ceb79fef03	1367	memset( Mp, 0, sizeof Mp );
kevman	0:38ceb79fef03	1368	memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
kevman	0:38ceb79fef03	1369	if( shift != 0 )
kevman	0:38ceb79fef03	1370	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
kevman	0:38ceb79fef03	1371	M.n += R.n; /* Make room for multiplication by R */
kevman	0:38ceb79fef03	1372
kevman	0:38ceb79fef03	1373	/* N = A0 */
kevman	0:38ceb79fef03	1374	if( mask != 0 )
kevman	0:38ceb79fef03	1375	N->p[p_limbs - 1] &= mask;
kevman	0:38ceb79fef03	1376	for( i = p_limbs; i < N->n; i++ )
kevman	0:38ceb79fef03	1377	N->p[i] = 0;
kevman	0:38ceb79fef03	1378
kevman	0:38ceb79fef03	1379	/* N = A0 + R * A1 */
kevman	0:38ceb79fef03	1380	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
kevman	0:38ceb79fef03	1381	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kevman	0:38ceb79fef03	1382
kevman	0:38ceb79fef03	1383	/* Second pass */
kevman	0:38ceb79fef03	1384
kevman	0:38ceb79fef03	1385	/* M = A1 */
kevman	0:38ceb79fef03	1386	M.n = N->n - ( p_limbs - adjust );
kevman	0:38ceb79fef03	1387	if( M.n > p_limbs + adjust )
kevman	0:38ceb79fef03	1388	M.n = p_limbs + adjust;
kevman	0:38ceb79fef03	1389	memset( Mp, 0, sizeof Mp );
kevman	0:38ceb79fef03	1390	memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
kevman	0:38ceb79fef03	1391	if( shift != 0 )
kevman	0:38ceb79fef03	1392	MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
kevman	0:38ceb79fef03	1393	M.n += R.n; /* Make room for multiplication by R */
kevman	0:38ceb79fef03	1394
kevman	0:38ceb79fef03	1395	/* N = A0 */
kevman	0:38ceb79fef03	1396	if( mask != 0 )
kevman	0:38ceb79fef03	1397	N->p[p_limbs - 1] &= mask;
kevman	0:38ceb79fef03	1398	for( i = p_limbs; i < N->n; i++ )
kevman	0:38ceb79fef03	1399	N->p[i] = 0;
kevman	0:38ceb79fef03	1400
kevman	0:38ceb79fef03	1401	/* N = A0 + R * A1 */
kevman	0:38ceb79fef03	1402	MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
kevman	0:38ceb79fef03	1403	MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kevman	0:38ceb79fef03	1404
kevman	0:38ceb79fef03	1405	cleanup:
kevman	0:38ceb79fef03	1406	return( ret );
kevman	0:38ceb79fef03	1407	}
kevman	0:38ceb79fef03	1408	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) \|\|
kevman	0:38ceb79fef03	1409	MBEDTLS_ECP_DP_SECP224K1_ENABLED) \|\|
kevman	0:38ceb79fef03	1410	MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
kevman	0:38ceb79fef03	1411
kevman	0:38ceb79fef03	1412	#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kevman	0:38ceb79fef03	1413	/*
kevman	0:38ceb79fef03	1414	* Fast quasi-reduction modulo p192k1 = 2^192 - R,
kevman	0:38ceb79fef03	1415	* with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
kevman	0:38ceb79fef03	1416	*/
kevman	0:38ceb79fef03	1417	static int ecp_mod_p192k1( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1418	{
kevman	0:38ceb79fef03	1419	static mbedtls_mpi_uint Rp[] = {
kevman	0:38ceb79fef03	1420	BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kevman	0:38ceb79fef03	1421
kevman	0:38ceb79fef03	1422	return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kevman	0:38ceb79fef03	1423	}
kevman	0:38ceb79fef03	1424	#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kevman	0:38ceb79fef03	1425
kevman	0:38ceb79fef03	1426	#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kevman	0:38ceb79fef03	1427	/*
kevman	0:38ceb79fef03	1428	* Fast quasi-reduction modulo p224k1 = 2^224 - R,
kevman	0:38ceb79fef03	1429	* with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
kevman	0:38ceb79fef03	1430	*/
kevman	0:38ceb79fef03	1431	static int ecp_mod_p224k1( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1432	{
kevman	0:38ceb79fef03	1433	static mbedtls_mpi_uint Rp[] = {
kevman	0:38ceb79fef03	1434	BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kevman	0:38ceb79fef03	1435
kevman	0:38ceb79fef03	1436	#if defined(MBEDTLS_HAVE_INT64)
kevman	0:38ceb79fef03	1437	return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
kevman	0:38ceb79fef03	1438	#else
kevman	0:38ceb79fef03	1439	return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kevman	0:38ceb79fef03	1440	#endif
kevman	0:38ceb79fef03	1441	}
kevman	0:38ceb79fef03	1442
kevman	0:38ceb79fef03	1443	#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kevman	0:38ceb79fef03	1444
kevman	0:38ceb79fef03	1445	#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kevman	0:38ceb79fef03	1446	/*
kevman	0:38ceb79fef03	1447	* Fast quasi-reduction modulo p256k1 = 2^256 - R,
kevman	0:38ceb79fef03	1448	* with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
kevman	0:38ceb79fef03	1449	*/
kevman	0:38ceb79fef03	1450	static int ecp_mod_p256k1( mbedtls_mpi *N )
kevman	0:38ceb79fef03	1451	{
kevman	0:38ceb79fef03	1452	static mbedtls_mpi_uint Rp[] = {
kevman	0:38ceb79fef03	1453	BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kevman	0:38ceb79fef03	1454	return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kevman	0:38ceb79fef03	1455	}
kevman	0:38ceb79fef03	1456	#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kevman	0:38ceb79fef03	1457
kevman	0:38ceb79fef03	1458	#endif /* !MBEDTLS_ECP_ALT */
kevman	0:38ceb79fef03	1459
kevman	0:38ceb79fef03	1460	#endif /* MBEDTLS_ECP_C */

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Type:	Library
Created:	30 Oct 2019
Imports:	1
Forks:	0
Commits:	3
Dependents:	0
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Followers:	1

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features/mbedtls/src/ecp_curves.c@0:38ceb79fef03, 2018-11-28 (annotated)

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