mirror of
https://github.com/Mbed-TLS/mbedtls.git
synced 2025-03-17 07:20:51 +00:00
d297157fe8
Now that descriptions of error codes no longer have to be on the same line for the sake of generate_errors.pl, move them to their own line before the definition. This aligns them with what we do for other definitions, and means that we no longer need to have very long lines containing both the C definition and the comment. ``` perl -i -pe 's~^(#define +MBEDTLS_ERR_\w+ +-\w+) */\*[*!]<(.*)\*/~/**$2*/\n$1~' include/mbedtls/*.h ``` This commit does not change the output of generate_errors.pl. Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
1030 lines
42 KiB
C
1030 lines
42 KiB
C
/**
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* \file bignum.h
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*
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* \brief Multi-precision integer library
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*/
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/*
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* Copyright The Mbed TLS Contributors
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the "License"); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef MBEDTLS_BIGNUM_H
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#define MBEDTLS_BIGNUM_H
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#include "mbedtls/private_access.h"
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#include "mbedtls/build_info.h"
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#include <stddef.h>
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#include <stdint.h>
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#if defined(MBEDTLS_FS_IO)
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#include <stdio.h>
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#endif
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/** An error occurred while reading from or writing to a file. */
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#define MBEDTLS_ERR_MPI_FILE_IO_ERROR -0x0002
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/** Bad input parameters to function. */
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#define MBEDTLS_ERR_MPI_BAD_INPUT_DATA -0x0004
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/** There is an invalid character in the digit string. */
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#define MBEDTLS_ERR_MPI_INVALID_CHARACTER -0x0006
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/** The buffer is too small to write to. */
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#define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL -0x0008
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/** The input arguments are negative or result in illegal output. */
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#define MBEDTLS_ERR_MPI_NEGATIVE_VALUE -0x000A
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/** The input argument for division is zero, which is not allowed. */
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#define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO -0x000C
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/** The input arguments are not acceptable. */
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#define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE -0x000E
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/** Memory allocation failed. */
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#define MBEDTLS_ERR_MPI_ALLOC_FAILED -0x0010
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#define MBEDTLS_MPI_CHK(f) \
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do \
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{ \
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if( ( ret = (f) ) != 0 ) \
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goto cleanup; \
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} while( 0 )
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/*
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* Maximum size MPIs are allowed to grow to in number of limbs.
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*/
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#define MBEDTLS_MPI_MAX_LIMBS 10000
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#if !defined(MBEDTLS_MPI_WINDOW_SIZE)
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/*
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* Maximum window size used for modular exponentiation. Default: 6
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* Minimum value: 1. Maximum value: 6.
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*
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* Result is an array of ( 2 ** MBEDTLS_MPI_WINDOW_SIZE ) MPIs used
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* for the sliding window calculation. (So 64 by default)
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*
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* Reduction in size, reduces speed.
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*/
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#define MBEDTLS_MPI_WINDOW_SIZE 6 /**< Maximum window size used. */
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#endif /* !MBEDTLS_MPI_WINDOW_SIZE */
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#if !defined(MBEDTLS_MPI_MAX_SIZE)
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/*
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* Maximum size of MPIs allowed in bits and bytes for user-MPIs.
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* ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
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*
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* Note: Calculations can temporarily result in larger MPIs. So the number
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* of limbs required (MBEDTLS_MPI_MAX_LIMBS) is higher.
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*/
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#define MBEDTLS_MPI_MAX_SIZE 1024 /**< Maximum number of bytes for usable MPIs. */
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#endif /* !MBEDTLS_MPI_MAX_SIZE */
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#define MBEDTLS_MPI_MAX_BITS ( 8 * MBEDTLS_MPI_MAX_SIZE ) /**< Maximum number of bits for usable MPIs. */
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/*
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* When reading from files with mbedtls_mpi_read_file() and writing to files with
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* mbedtls_mpi_write_file() the buffer should have space
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* for a (short) label, the MPI (in the provided radix), the newline
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* characters and the '\0'.
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*
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* By default we assume at least a 10 char label, a minimum radix of 10
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* (decimal) and a maximum of 4096 bit numbers (1234 decimal chars).
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* Autosized at compile time for at least a 10 char label, a minimum radix
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* of 10 (decimal) for a number of MBEDTLS_MPI_MAX_BITS size.
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*
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* This used to be statically sized to 1250 for a maximum of 4096 bit
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* numbers (1234 decimal chars).
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*
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* Calculate using the formula:
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* MBEDTLS_MPI_RW_BUFFER_SIZE = ceil(MBEDTLS_MPI_MAX_BITS / ln(10) * ln(2)) +
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* LabelSize + 6
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*/
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#define MBEDTLS_MPI_MAX_BITS_SCALE100 ( 100 * MBEDTLS_MPI_MAX_BITS )
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#define MBEDTLS_LN_2_DIV_LN_10_SCALE100 332
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#define MBEDTLS_MPI_RW_BUFFER_SIZE ( ((MBEDTLS_MPI_MAX_BITS_SCALE100 + MBEDTLS_LN_2_DIV_LN_10_SCALE100 - 1) / MBEDTLS_LN_2_DIV_LN_10_SCALE100) + 10 + 6 )
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/*
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* Define the base integer type, architecture-wise.
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*
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* 32 or 64-bit integer types can be forced regardless of the underlying
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* architecture by defining MBEDTLS_HAVE_INT32 or MBEDTLS_HAVE_INT64
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* respectively and undefining MBEDTLS_HAVE_ASM.
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*
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* Double-width integers (e.g. 128-bit in 64-bit architectures) can be
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* disabled by defining MBEDTLS_NO_UDBL_DIVISION.
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*/
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#if !defined(MBEDTLS_HAVE_INT32)
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#if defined(_MSC_VER) && defined(_M_AMD64)
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/* Always choose 64-bit when using MSC */
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#if !defined(MBEDTLS_HAVE_INT64)
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#define MBEDTLS_HAVE_INT64
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#endif /* !MBEDTLS_HAVE_INT64 */
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typedef int64_t mbedtls_mpi_sint;
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typedef uint64_t mbedtls_mpi_uint;
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#elif defined(__GNUC__) && ( \
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defined(__amd64__) || defined(__x86_64__) || \
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defined(__ppc64__) || defined(__powerpc64__) || \
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defined(__ia64__) || defined(__alpha__) || \
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( defined(__sparc__) && defined(__arch64__) ) || \
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defined(__s390x__) || defined(__mips64) || \
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defined(__aarch64__) )
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#if !defined(MBEDTLS_HAVE_INT64)
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#define MBEDTLS_HAVE_INT64
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#endif /* MBEDTLS_HAVE_INT64 */
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typedef int64_t mbedtls_mpi_sint;
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typedef uint64_t mbedtls_mpi_uint;
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#if !defined(MBEDTLS_NO_UDBL_DIVISION)
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/* mbedtls_t_udbl defined as 128-bit unsigned int */
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typedef unsigned int mbedtls_t_udbl __attribute__((mode(TI)));
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#define MBEDTLS_HAVE_UDBL
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#endif /* !MBEDTLS_NO_UDBL_DIVISION */
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#elif defined(__ARMCC_VERSION) && defined(__aarch64__)
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/*
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* __ARMCC_VERSION is defined for both armcc and armclang and
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* __aarch64__ is only defined by armclang when compiling 64-bit code
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*/
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#if !defined(MBEDTLS_HAVE_INT64)
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#define MBEDTLS_HAVE_INT64
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#endif /* !MBEDTLS_HAVE_INT64 */
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typedef int64_t mbedtls_mpi_sint;
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typedef uint64_t mbedtls_mpi_uint;
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#if !defined(MBEDTLS_NO_UDBL_DIVISION)
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/* mbedtls_t_udbl defined as 128-bit unsigned int */
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typedef __uint128_t mbedtls_t_udbl;
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#define MBEDTLS_HAVE_UDBL
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#endif /* !MBEDTLS_NO_UDBL_DIVISION */
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#elif defined(MBEDTLS_HAVE_INT64)
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/* Force 64-bit integers with unknown compiler */
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typedef int64_t mbedtls_mpi_sint;
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typedef uint64_t mbedtls_mpi_uint;
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#endif
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#endif /* !MBEDTLS_HAVE_INT32 */
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#if !defined(MBEDTLS_HAVE_INT64)
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/* Default to 32-bit compilation */
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#if !defined(MBEDTLS_HAVE_INT32)
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#define MBEDTLS_HAVE_INT32
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#endif /* !MBEDTLS_HAVE_INT32 */
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typedef int32_t mbedtls_mpi_sint;
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typedef uint32_t mbedtls_mpi_uint;
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#if !defined(MBEDTLS_NO_UDBL_DIVISION)
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typedef uint64_t mbedtls_t_udbl;
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#define MBEDTLS_HAVE_UDBL
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#endif /* !MBEDTLS_NO_UDBL_DIVISION */
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#endif /* !MBEDTLS_HAVE_INT64 */
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#ifdef __cplusplus
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extern "C" {
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#endif
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/**
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* \brief MPI structure
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*/
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typedef struct mbedtls_mpi
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{
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int MBEDTLS_PRIVATE(s); /*!< Sign: -1 if the mpi is negative, 1 otherwise */
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size_t MBEDTLS_PRIVATE(n); /*!< total # of limbs */
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mbedtls_mpi_uint *MBEDTLS_PRIVATE(p); /*!< pointer to limbs */
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}
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mbedtls_mpi;
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/**
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* \brief Initialize an MPI context.
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*
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* This makes the MPI ready to be set or freed,
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* but does not define a value for the MPI.
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*
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* \param X The MPI context to initialize. This must not be \c NULL.
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*/
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void mbedtls_mpi_init( mbedtls_mpi *X );
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/**
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* \brief This function frees the components of an MPI context.
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*
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* \param X The MPI context to be cleared. This may be \c NULL,
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* in which case this function is a no-op. If it is
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* not \c NULL, it must point to an initialized MPI.
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*/
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void mbedtls_mpi_free( mbedtls_mpi *X );
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/**
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* \brief Enlarge an MPI to the specified number of limbs.
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*
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* \note This function does nothing if the MPI is
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* already large enough.
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*
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* \param X The MPI to grow. It must be initialized.
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* \param nblimbs The target number of limbs.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_grow( mbedtls_mpi *X, size_t nblimbs );
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/**
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* \brief This function resizes an MPI downwards, keeping at least the
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* specified number of limbs.
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*
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* If \c X is smaller than \c nblimbs, it is resized up
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* instead.
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*
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* \param X The MPI to shrink. This must point to an initialized MPI.
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* \param nblimbs The minimum number of limbs to keep.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
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* (this can only happen when resizing up).
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_shrink( mbedtls_mpi *X, size_t nblimbs );
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/**
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* \brief Make a copy of an MPI.
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*
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* \param X The destination MPI. This must point to an initialized MPI.
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* \param Y The source MPI. This must point to an initialized MPI.
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*
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* \note The limb-buffer in the destination MPI is enlarged
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* if necessary to hold the value in the source MPI.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_copy( mbedtls_mpi *X, const mbedtls_mpi *Y );
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/**
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* \brief Swap the contents of two MPIs.
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*
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* \param X The first MPI. It must be initialized.
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* \param Y The second MPI. It must be initialized.
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*/
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void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y );
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/**
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* \brief Perform a safe conditional copy of MPI which doesn't
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* reveal whether the condition was true or not.
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*
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* \param X The MPI to conditionally assign to. This must point
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* to an initialized MPI.
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* \param Y The MPI to be assigned from. This must point to an
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* initialized MPI.
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* \param assign The condition deciding whether to perform the
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* assignment or not. Possible values:
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* * \c 1: Perform the assignment `X = Y`.
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* * \c 0: Keep the original value of \p X.
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*
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* \note This function is equivalent to
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* `if( assign ) mbedtls_mpi_copy( X, Y );`
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* except that it avoids leaking any information about whether
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* the assignment was done or not (the above code may leak
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* information through branch prediction and/or memory access
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* patterns analysis).
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign );
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/**
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* \brief Perform a safe conditional swap which doesn't
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* reveal whether the condition was true or not.
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*
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* \param X The first MPI. This must be initialized.
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* \param Y The second MPI. This must be initialized.
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* \param assign The condition deciding whether to perform
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* the swap or not. Possible values:
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* * \c 1: Swap the values of \p X and \p Y.
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* * \c 0: Keep the original values of \p X and \p Y.
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*
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* \note This function is equivalent to
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* if( assign ) mbedtls_mpi_swap( X, Y );
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* except that it avoids leaking any information about whether
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* the assignment was done or not (the above code may leak
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* information through branch prediction and/or memory access
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* patterns analysis).
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*
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*/
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int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char assign );
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/**
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* \brief Store integer value in MPI.
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*
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* \param X The MPI to set. This must be initialized.
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* \param z The value to use.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_lset( mbedtls_mpi *X, mbedtls_mpi_sint z );
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/**
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* \brief Get a specific bit from an MPI.
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*
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* \param X The MPI to query. This must be initialized.
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* \param pos Zero-based index of the bit to query.
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*
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* \return \c 0 or \c 1 on success, depending on whether bit \c pos
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* of \c X is unset or set.
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* \return A negative error code on failure.
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*/
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int mbedtls_mpi_get_bit( const mbedtls_mpi *X, size_t pos );
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/**
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* \brief Modify a specific bit in an MPI.
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*
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* \note This function will grow the target MPI if necessary to set a
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* bit to \c 1 in a not yet existing limb. It will not grow if
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* the bit should be set to \c 0.
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*
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* \param X The MPI to modify. This must be initialized.
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* \param pos Zero-based index of the bit to modify.
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* \param val The desired value of bit \c pos: \c 0 or \c 1.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
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* \return Another negative error code on other kinds of failure.
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*/
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int mbedtls_mpi_set_bit( mbedtls_mpi *X, size_t pos, unsigned char val );
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/**
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* \brief Return the number of bits of value \c 0 before the
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* least significant bit of value \c 1.
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*
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* \note This is the same as the zero-based index of
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* the least significant bit of value \c 1.
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*
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* \param X The MPI to query.
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*
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* \return The number of bits of value \c 0 before the least significant
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* bit of value \c 1 in \p X.
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*/
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size_t mbedtls_mpi_lsb( const mbedtls_mpi *X );
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/**
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* \brief Return the number of bits up to and including the most
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* significant bit of value \c 1.
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*
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* * \note This is same as the one-based index of the most
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* significant bit of value \c 1.
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*
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* \param X The MPI to query. This must point to an initialized MPI.
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*
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* \return The number of bits up to and including the most
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* significant bit of value \c 1.
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*/
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size_t mbedtls_mpi_bitlen( const mbedtls_mpi *X );
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/**
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* \brief Return the total size of an MPI value in bytes.
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*
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* \param X The MPI to use. This must point to an initialized MPI.
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*
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* \note The value returned by this function may be less than
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* the number of bytes used to store \p X internally.
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* This happens if and only if there are trailing bytes
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* of value zero.
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*
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* \return The least number of bytes capable of storing
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* the absolute value of \p X.
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*/
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size_t mbedtls_mpi_size( const mbedtls_mpi *X );
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/**
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* \brief Import an MPI from an ASCII string.
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*
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* \param X The destination MPI. This must point to an initialized MPI.
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* \param radix The numeric base of the input string.
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* \param s Null-terminated string buffer.
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*
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* \return \c 0 if successful.
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* \return A negative error code on failure.
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*/
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int mbedtls_mpi_read_string( mbedtls_mpi *X, int radix, const char *s );
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/**
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* \brief Export an MPI to an ASCII string.
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|
*
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* \param X The source MPI. This must point to an initialized MPI.
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* \param radix The numeric base of the output string.
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* \param buf The buffer to write the string to. This must be writable
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* buffer of length \p buflen Bytes.
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* \param buflen The available size in Bytes of \p buf.
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* \param olen The address at which to store the length of the string
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* written, including the final \c NULL byte. This must
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* not be \c NULL.
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*
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* \note You can call this function with `buflen == 0` to obtain the
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* minimum required buffer size in `*olen`.
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*
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* \return \c 0 if successful.
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* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if the target buffer \p buf
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* is too small to hold the value of \p X in the desired base.
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* In this case, `*olen` is nonetheless updated to contain the
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* size of \p buf required for a successful call.
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* \return Another negative error code on different kinds of failure.
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*/
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int mbedtls_mpi_write_string( const mbedtls_mpi *X, int radix,
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char *buf, size_t buflen, size_t *olen );
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|
|
#if defined(MBEDTLS_FS_IO)
|
|
/**
|
|
* \brief Read an MPI from a line in an opened file.
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param radix The numeric base of the string representation used
|
|
* in the source line.
|
|
* \param fin The input file handle to use. This must not be \c NULL.
|
|
*
|
|
* \note On success, this function advances the file stream
|
|
* to the end of the current line or to EOF.
|
|
*
|
|
* The function returns \c 0 on an empty line.
|
|
*
|
|
* Leading whitespaces are ignored, as is a
|
|
* '0x' prefix for radix \c 16.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if the file read buffer
|
|
* is too small.
|
|
* \return Another negative error code on failure.
|
|
*/
|
|
int mbedtls_mpi_read_file( mbedtls_mpi *X, int radix, FILE *fin );
|
|
|
|
/**
|
|
* \brief Export an MPI into an opened file.
|
|
*
|
|
* \param p A string prefix to emit prior to the MPI data.
|
|
* For example, this might be a label, or "0x" when
|
|
* printing in base \c 16. This may be \c NULL if no prefix
|
|
* is needed.
|
|
* \param X The source MPI. This must point to an initialized MPI.
|
|
* \param radix The numeric base to be used in the emitted string.
|
|
* \param fout The output file handle. This may be \c NULL, in which case
|
|
* the output is written to \c stdout.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return A negative error code on failure.
|
|
*/
|
|
int mbedtls_mpi_write_file( const char *p, const mbedtls_mpi *X,
|
|
int radix, FILE *fout );
|
|
#endif /* MBEDTLS_FS_IO */
|
|
|
|
/**
|
|
* \brief Import an MPI from unsigned big endian binary data.
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param buf The input buffer. This must be a readable buffer of length
|
|
* \p buflen Bytes.
|
|
* \param buflen The length of the input buffer \p p in Bytes.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_read_binary( mbedtls_mpi *X, const unsigned char *buf,
|
|
size_t buflen );
|
|
|
|
/**
|
|
* \brief Import X from unsigned binary data, little endian
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param buf The input buffer. This must be a readable buffer of length
|
|
* \p buflen Bytes.
|
|
* \param buflen The length of the input buffer \p p in Bytes.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_read_binary_le( mbedtls_mpi *X,
|
|
const unsigned char *buf, size_t buflen );
|
|
|
|
/**
|
|
* \brief Export X into unsigned binary data, big endian.
|
|
* Always fills the whole buffer, which will start with zeros
|
|
* if the number is smaller.
|
|
*
|
|
* \param X The source MPI. This must point to an initialized MPI.
|
|
* \param buf The output buffer. This must be a writable buffer of length
|
|
* \p buflen Bytes.
|
|
* \param buflen The size of the output buffer \p buf in Bytes.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p buf isn't
|
|
* large enough to hold the value of \p X.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_write_binary( const mbedtls_mpi *X, unsigned char *buf,
|
|
size_t buflen );
|
|
|
|
/**
|
|
* \brief Export X into unsigned binary data, little endian.
|
|
* Always fills the whole buffer, which will end with zeros
|
|
* if the number is smaller.
|
|
*
|
|
* \param X The source MPI. This must point to an initialized MPI.
|
|
* \param buf The output buffer. This must be a writable buffer of length
|
|
* \p buflen Bytes.
|
|
* \param buflen The size of the output buffer \p buf in Bytes.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p buf isn't
|
|
* large enough to hold the value of \p X.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_write_binary_le( const mbedtls_mpi *X,
|
|
unsigned char *buf, size_t buflen );
|
|
|
|
/**
|
|
* \brief Perform a left-shift on an MPI: X <<= count
|
|
*
|
|
* \param X The MPI to shift. This must point to an initialized MPI.
|
|
* \param count The number of bits to shift by.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_shift_l( mbedtls_mpi *X, size_t count );
|
|
|
|
/**
|
|
* \brief Perform a right-shift on an MPI: X >>= count
|
|
*
|
|
* \param X The MPI to shift. This must point to an initialized MPI.
|
|
* \param count The number of bits to shift by.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_shift_r( mbedtls_mpi *X, size_t count );
|
|
|
|
/**
|
|
* \brief Compare the absolute values of two MPIs.
|
|
*
|
|
* \param X The left-hand MPI. This must point to an initialized MPI.
|
|
* \param Y The right-hand MPI. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 1 if `|X|` is greater than `|Y|`.
|
|
* \return \c -1 if `|X|` is lesser than `|Y|`.
|
|
* \return \c 0 if `|X|` is equal to `|Y|`.
|
|
*/
|
|
int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y );
|
|
|
|
/**
|
|
* \brief Compare two MPIs.
|
|
*
|
|
* \param X The left-hand MPI. This must point to an initialized MPI.
|
|
* \param Y The right-hand MPI. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 1 if \p X is greater than \p Y.
|
|
* \return \c -1 if \p X is lesser than \p Y.
|
|
* \return \c 0 if \p X is equal to \p Y.
|
|
*/
|
|
int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y );
|
|
|
|
/**
|
|
* \brief Check if an MPI is less than the other in constant time.
|
|
*
|
|
* \param X The left-hand MPI. This must point to an initialized MPI
|
|
* with the same allocated length as Y.
|
|
* \param Y The right-hand MPI. This must point to an initialized MPI
|
|
* with the same allocated length as X.
|
|
* \param ret The result of the comparison:
|
|
* \c 1 if \p X is less than \p Y.
|
|
* \c 0 if \p X is greater than or equal to \p Y.
|
|
*
|
|
* \return 0 on success.
|
|
* \return MBEDTLS_ERR_MPI_BAD_INPUT_DATA if the allocated length of
|
|
* the two input MPIs is not the same.
|
|
*/
|
|
int mbedtls_mpi_lt_mpi_ct( const mbedtls_mpi *X, const mbedtls_mpi *Y,
|
|
unsigned *ret );
|
|
|
|
/**
|
|
* \brief Compare an MPI with an integer.
|
|
*
|
|
* \param X The left-hand MPI. This must point to an initialized MPI.
|
|
* \param z The integer value to compare \p X to.
|
|
*
|
|
* \return \c 1 if \p X is greater than \p z.
|
|
* \return \c -1 if \p X is lesser than \p z.
|
|
* \return \c 0 if \p X is equal to \p z.
|
|
*/
|
|
int mbedtls_mpi_cmp_int( const mbedtls_mpi *X, mbedtls_mpi_sint z );
|
|
|
|
/**
|
|
* \brief Perform an unsigned addition of MPIs: X = |A| + |B|
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first summand. This must point to an initialized MPI.
|
|
* \param B The second summand. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_add_abs( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform an unsigned subtraction of MPIs: X = |A| - |B|
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The minuend. This must point to an initialized MPI.
|
|
* \param B The subtrahend. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_NEGATIVE_VALUE if \p B is greater than \p A.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*
|
|
*/
|
|
int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a signed addition of MPIs: X = A + B
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first summand. This must point to an initialized MPI.
|
|
* \param B The second summand. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_add_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a signed subtraction of MPIs: X = A - B
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The minuend. This must point to an initialized MPI.
|
|
* \param B The subtrahend. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_sub_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a signed addition of an MPI and an integer: X = A + b
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first summand. This must point to an initialized MPI.
|
|
* \param b The second summand.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_add_int( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
mbedtls_mpi_sint b );
|
|
|
|
/**
|
|
* \brief Perform a signed subtraction of an MPI and an integer:
|
|
* X = A - b
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The minuend. This must point to an initialized MPI.
|
|
* \param b The subtrahend.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_sub_int( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
mbedtls_mpi_sint b );
|
|
|
|
/**
|
|
* \brief Perform a multiplication of two MPIs: X = A * B
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first factor. This must point to an initialized MPI.
|
|
* \param B The second factor. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*
|
|
*/
|
|
int mbedtls_mpi_mul_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a multiplication of an MPI with an unsigned integer:
|
|
* X = A * b
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first factor. This must point to an initialized MPI.
|
|
* \param b The second factor.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*
|
|
*/
|
|
int mbedtls_mpi_mul_int( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
mbedtls_mpi_uint b );
|
|
|
|
/**
|
|
* \brief Perform a division with remainder of two MPIs:
|
|
* A = Q * B + R
|
|
*
|
|
* \param Q The destination MPI for the quotient.
|
|
* This may be \c NULL if the value of the
|
|
* quotient is not needed.
|
|
* \param R The destination MPI for the remainder value.
|
|
* This may be \c NULL if the value of the
|
|
* remainder is not needed.
|
|
* \param A The dividend. This must point to an initialized MPi.
|
|
* \param B The divisor. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if \p B equals zero.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_div_mpi( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a division with remainder of an MPI by an integer:
|
|
* A = Q * b + R
|
|
*
|
|
* \param Q The destination MPI for the quotient.
|
|
* This may be \c NULL if the value of the
|
|
* quotient is not needed.
|
|
* \param R The destination MPI for the remainder value.
|
|
* This may be \c NULL if the value of the
|
|
* remainder is not needed.
|
|
* \param A The dividend. This must point to an initialized MPi.
|
|
* \param b The divisor.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if \p b equals zero.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_div_int( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A,
|
|
mbedtls_mpi_sint b );
|
|
|
|
/**
|
|
* \brief Perform a modular reduction. R = A mod B
|
|
*
|
|
* \param R The destination MPI for the residue value.
|
|
* This must point to an initialized MPI.
|
|
* \param A The MPI to compute the residue of.
|
|
* This must point to an initialized MPI.
|
|
* \param B The base of the modular reduction.
|
|
* This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if \p B equals zero.
|
|
* \return #MBEDTLS_ERR_MPI_NEGATIVE_VALUE if \p B is negative.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*
|
|
*/
|
|
int mbedtls_mpi_mod_mpi( mbedtls_mpi *R, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Perform a modular reduction with respect to an integer.
|
|
* r = A mod b
|
|
*
|
|
* \param r The address at which to store the residue.
|
|
* This must not be \c NULL.
|
|
* \param A The MPI to compute the residue of.
|
|
* This must point to an initialized MPi.
|
|
* \param b The integer base of the modular reduction.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if \p b equals zero.
|
|
* \return #MBEDTLS_ERR_MPI_NEGATIVE_VALUE if \p b is negative.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_mod_int( mbedtls_mpi_uint *r, const mbedtls_mpi *A,
|
|
mbedtls_mpi_sint b );
|
|
|
|
/**
|
|
* \brief Perform a sliding-window exponentiation: X = A^E mod N
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The base of the exponentiation.
|
|
* This must point to an initialized MPI.
|
|
* \param E The exponent MPI. This must point to an initialized MPI.
|
|
* \param N The base for the modular reduction. This must point to an
|
|
* initialized MPI.
|
|
* \param prec_RR A helper MPI depending solely on \p N which can be used to
|
|
* speed-up multiple modular exponentiations for the same value
|
|
* of \p N. This may be \c NULL. If it is not \c NULL, it must
|
|
* point to an initialized MPI. If it hasn't been used after
|
|
* the call to mbedtls_mpi_init(), this function will compute
|
|
* the helper value and store it in \p prec_RR for reuse on
|
|
* subsequent calls to this function. Otherwise, the function
|
|
* will assume that \p prec_RR holds the helper value set by a
|
|
* previous call to mbedtls_mpi_exp_mod(), and reuse it.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \c N is negative or
|
|
* even, or if \c E is negative.
|
|
* \return Another negative error code on different kinds of failures.
|
|
*
|
|
*/
|
|
int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *E, const mbedtls_mpi *N,
|
|
mbedtls_mpi *prec_RR );
|
|
|
|
/**
|
|
* \brief Fill an MPI with a number of random bytes.
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param size The number of random bytes to generate.
|
|
* \param f_rng The RNG function to use. This must not be \c NULL.
|
|
* \param p_rng The RNG parameter to be passed to \p f_rng. This may be
|
|
* \c NULL if \p f_rng doesn't need a context argument.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on failure.
|
|
*
|
|
* \note The bytes obtained from the RNG are interpreted
|
|
* as a big-endian representation of an MPI; this can
|
|
* be relevant in applications like deterministic ECDSA.
|
|
*/
|
|
int mbedtls_mpi_fill_random( mbedtls_mpi *X, size_t size,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng );
|
|
|
|
/** Generate a random number uniformly in a range.
|
|
*
|
|
* This function generates a random number between \p min inclusive and
|
|
* \p N exclusive.
|
|
*
|
|
* The procedure complies with RFC 6979 §3.3 (deterministic ECDSA)
|
|
* when the RNG is a suitably parametrized instance of HMAC_DRBG
|
|
* and \p min is \c 1.
|
|
*
|
|
* \note There are `N - min` possible outputs. The lower bound
|
|
* \p min can be reached, but the upper bound \p N cannot.
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param min The minimum value to return.
|
|
* It must be nonnegative.
|
|
* \param N The upper bound of the range, exclusive.
|
|
* In other words, this is one plus the maximum value to return.
|
|
* \p N must be strictly larger than \p min.
|
|
* \param f_rng The RNG function to use. This must not be \c NULL.
|
|
* \param p_rng The RNG parameter to be passed to \p f_rng.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p min or \p N is invalid
|
|
* or if they are incompatible.
|
|
* \return #MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if the implementation was
|
|
* unable to find a suitable value within a limited number
|
|
* of attempts. This has a negligible probability if \p N
|
|
* is significantly larger than \p min, which is the case
|
|
* for all usual cryptographic applications.
|
|
* \return Another negative error code on failure.
|
|
*/
|
|
int mbedtls_mpi_random( mbedtls_mpi *X,
|
|
mbedtls_mpi_sint min,
|
|
const mbedtls_mpi *N,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng );
|
|
|
|
/**
|
|
* \brief Compute the greatest common divisor: G = gcd(A, B)
|
|
*
|
|
* \param G The destination MPI. This must point to an initialized MPI.
|
|
* \param A The first operand. This must point to an initialized MPI.
|
|
* \param B The second operand. This must point to an initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return Another negative error code on different kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_gcd( mbedtls_mpi *G, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *B );
|
|
|
|
/**
|
|
* \brief Compute the modular inverse: X = A^-1 mod N
|
|
*
|
|
* \param X The destination MPI. This must point to an initialized MPI.
|
|
* \param A The MPI to calculate the modular inverse of. This must point
|
|
* to an initialized MPI.
|
|
* \param N The base of the modular inversion. This must point to an
|
|
* initialized MPI.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p N is less than
|
|
* or equal to one.
|
|
* \return #MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if \p has no modular inverse
|
|
* with respect to \p N.
|
|
*/
|
|
int mbedtls_mpi_inv_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
|
|
const mbedtls_mpi *N );
|
|
|
|
/**
|
|
* \brief Miller-Rabin primality test.
|
|
*
|
|
* \warning If \p X is potentially generated by an adversary, for example
|
|
* when validating cryptographic parameters that you didn't
|
|
* generate yourself and that are supposed to be prime, then
|
|
* \p rounds should be at least the half of the security
|
|
* strength of the cryptographic algorithm. On the other hand,
|
|
* if \p X is chosen uniformly or non-adversially (as is the
|
|
* case when mbedtls_mpi_gen_prime calls this function), then
|
|
* \p rounds can be much lower.
|
|
*
|
|
* \param X The MPI to check for primality.
|
|
* This must point to an initialized MPI.
|
|
* \param rounds The number of bases to perform the Miller-Rabin primality
|
|
* test for. The probability of returning 0 on a composite is
|
|
* at most 2<sup>-2*\p rounds</sup>.
|
|
* \param f_rng The RNG function to use. This must not be \c NULL.
|
|
* \param p_rng The RNG parameter to be passed to \p f_rng.
|
|
* This may be \c NULL if \p f_rng doesn't use
|
|
* a context parameter.
|
|
*
|
|
* \return \c 0 if successful, i.e. \p X is probably prime.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if \p X is not prime.
|
|
* \return Another negative error code on other kinds of failure.
|
|
*/
|
|
int mbedtls_mpi_is_prime_ext( const mbedtls_mpi *X, int rounds,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng );
|
|
/**
|
|
* \brief Flags for mbedtls_mpi_gen_prime()
|
|
*
|
|
* Each of these flags is a constraint on the result X returned by
|
|
* mbedtls_mpi_gen_prime().
|
|
*/
|
|
typedef enum {
|
|
MBEDTLS_MPI_GEN_PRIME_FLAG_DH = 0x0001, /**< (X-1)/2 is prime too */
|
|
MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR = 0x0002, /**< lower error rate from 2<sup>-80</sup> to 2<sup>-128</sup> */
|
|
} mbedtls_mpi_gen_prime_flag_t;
|
|
|
|
/**
|
|
* \brief Generate a prime number.
|
|
*
|
|
* \param X The destination MPI to store the generated prime in.
|
|
* This must point to an initialized MPi.
|
|
* \param nbits The required size of the destination MPI in bits.
|
|
* This must be between \c 3 and #MBEDTLS_MPI_MAX_BITS.
|
|
* \param flags A mask of flags of type #mbedtls_mpi_gen_prime_flag_t.
|
|
* \param f_rng The RNG function to use. This must not be \c NULL.
|
|
* \param p_rng The RNG parameter to be passed to \p f_rng.
|
|
* This may be \c NULL if \p f_rng doesn't use
|
|
* a context parameter.
|
|
*
|
|
* \return \c 0 if successful, in which case \p X holds a
|
|
* probably prime number.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if a memory allocation failed.
|
|
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if `nbits` is not between
|
|
* \c 3 and #MBEDTLS_MPI_MAX_BITS.
|
|
*/
|
|
int mbedtls_mpi_gen_prime( mbedtls_mpi *X, size_t nbits, int flags,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng );
|
|
|
|
#if defined(MBEDTLS_SELF_TEST)
|
|
|
|
/**
|
|
* \brief Checkup routine
|
|
*
|
|
* \return 0 if successful, or 1 if the test failed
|
|
*/
|
|
int mbedtls_mpi_self_test( int verbose );
|
|
|
|
#endif /* MBEDTLS_SELF_TEST */
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif /* bignum.h */
|