--- /dev/null
+/**
+ * \file bignum.h
+ *
+ * \brief Multi-precision integer library
+ */
+/*
+ * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
+ * SPDX-License-Identifier: GPL-2.0
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+ *
+ * This file is part of mbed TLS (https://tls.mbed.org)
+ */
+#ifndef MBEDTLS_BIGNUM_H
+#define MBEDTLS_BIGNUM_H
+
+#if !defined(MBEDTLS_CONFIG_FILE)
+#include "config.h"
+#else
+#include MBEDTLS_CONFIG_FILE
+#endif
+
+#include <stddef.h>
+#include <stdint.h>
+
+#if defined(MBEDTLS_FS_IO)
+#include <stdio.h>
+#endif
+
+#define MBEDTLS_ERR_MPI_FILE_IO_ERROR -0x0002 /**< An error occurred while reading from or writing to a file. */
+#define MBEDTLS_ERR_MPI_BAD_INPUT_DATA -0x0004 /**< Bad input parameters to function. */
+#define MBEDTLS_ERR_MPI_INVALID_CHARACTER -0x0006 /**< There is an invalid character in the digit string. */
+#define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL -0x0008 /**< The buffer is too small to write to. */
+#define MBEDTLS_ERR_MPI_NEGATIVE_VALUE -0x000A /**< The input arguments are negative or result in illegal output. */
+#define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO -0x000C /**< The input argument for division is zero, which is not allowed. */
+#define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE -0x000E /**< The input arguments are not acceptable. */
+#define MBEDTLS_ERR_MPI_ALLOC_FAILED -0x0010 /**< Memory allocation failed. */
+
+#define MBEDTLS_MPI_CHK(f) do { if( ( ret = f ) != 0 ) goto cleanup; } while( 0 )
+
+/*
+ * Maximum size MPIs are allowed to grow to in number of limbs.
+ */
+#define MBEDTLS_MPI_MAX_LIMBS 10000
+
+#if !defined(MBEDTLS_MPI_WINDOW_SIZE)
+/*
+ * Maximum window size used for modular exponentiation. Default: 6
+ * Minimum value: 1. Maximum value: 6.
+ *
+ * Result is an array of ( 2 << MBEDTLS_MPI_WINDOW_SIZE ) MPIs used
+ * for the sliding window calculation. (So 64 by default)
+ *
+ * Reduction in size, reduces speed.
+ */
+#define MBEDTLS_MPI_WINDOW_SIZE 6 /**< Maximum windows size used. */
+#endif /* !MBEDTLS_MPI_WINDOW_SIZE */
+
+#if !defined(MBEDTLS_MPI_MAX_SIZE)
+/*
+ * Maximum size of MPIs allowed in bits and bytes for user-MPIs.
+ * ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
+ *
+ * Note: Calculations can temporarily result in larger MPIs. So the number
+ * of limbs required (MBEDTLS_MPI_MAX_LIMBS) is higher.
+ */
+#define MBEDTLS_MPI_MAX_SIZE 1024 /**< Maximum number of bytes for usable MPIs. */
+#endif /* !MBEDTLS_MPI_MAX_SIZE */
+
+#define MBEDTLS_MPI_MAX_BITS ( 8 * MBEDTLS_MPI_MAX_SIZE ) /**< Maximum number of bits for usable MPIs. */
+
+/*
+ * When reading from files with mbedtls_mpi_read_file() and writing to files with
+ * mbedtls_mpi_write_file() the buffer should have space
+ * for a (short) label, the MPI (in the provided radix), the newline
+ * characters and the '\0'.
+ *
+ * By default we assume at least a 10 char label, a minimum radix of 10
+ * (decimal) and a maximum of 4096 bit numbers (1234 decimal chars).
+ * Autosized at compile time for at least a 10 char label, a minimum radix
+ * of 10 (decimal) for a number of MBEDTLS_MPI_MAX_BITS size.
+ *
+ * This used to be statically sized to 1250 for a maximum of 4096 bit
+ * numbers (1234 decimal chars).
+ *
+ * Calculate using the formula:
+ * MBEDTLS_MPI_RW_BUFFER_SIZE = ceil(MBEDTLS_MPI_MAX_BITS / ln(10) * ln(2)) +
+ * LabelSize + 6
+ */
+#define MBEDTLS_MPI_MAX_BITS_SCALE100 ( 100 * MBEDTLS_MPI_MAX_BITS )
+#define MBEDTLS_LN_2_DIV_LN_10_SCALE100 332
+#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 )
+
+/*
+ * Define the base integer type, architecture-wise.
+ *
+ * 32 or 64-bit integer types can be forced regardless of the underlying
+ * architecture by defining MBEDTLS_HAVE_INT32 or MBEDTLS_HAVE_INT64
+ * respectively and undefining MBEDTLS_HAVE_ASM.
+ *
+ * Double-width integers (e.g. 128-bit in 64-bit architectures) can be
+ * disabled by defining MBEDTLS_NO_UDBL_DIVISION.
+ */
+#if !defined(MBEDTLS_HAVE_INT32)
+ #if defined(_MSC_VER) && defined(_M_AMD64)
+ /* Always choose 64-bit when using MSC */
+ #if !defined(MBEDTLS_HAVE_INT64)
+ #define MBEDTLS_HAVE_INT64
+ #endif /* !MBEDTLS_HAVE_INT64 */
+ typedef int64_t mbedtls_mpi_sint;
+ typedef uint64_t mbedtls_mpi_uint;
+ #elif defined(__GNUC__) && ( \
+ defined(__amd64__) || defined(__x86_64__) || \
+ defined(__ppc64__) || defined(__powerpc64__) || \
+ defined(__ia64__) || defined(__alpha__) || \
+ ( defined(__sparc__) && defined(__arch64__) ) || \
+ defined(__s390x__) || defined(__mips64) )
+ #if !defined(MBEDTLS_HAVE_INT64)
+ #define MBEDTLS_HAVE_INT64
+ #endif /* MBEDTLS_HAVE_INT64 */
+ typedef int64_t mbedtls_mpi_sint;
+ typedef uint64_t mbedtls_mpi_uint;
+ #if !defined(MBEDTLS_NO_UDBL_DIVISION)
+ /* mbedtls_t_udbl defined as 128-bit unsigned int */
+ typedef unsigned int mbedtls_t_udbl __attribute__((mode(TI)));
+ #define MBEDTLS_HAVE_UDBL
+ #endif /* !MBEDTLS_NO_UDBL_DIVISION */
+ #elif defined(__ARMCC_VERSION) && defined(__aarch64__)
+ /*
+ * __ARMCC_VERSION is defined for both armcc and armclang and
+ * __aarch64__ is only defined by armclang when compiling 64-bit code
+ */
+ #if !defined(MBEDTLS_HAVE_INT64)
+ #define MBEDTLS_HAVE_INT64
+ #endif /* !MBEDTLS_HAVE_INT64 */
+ typedef int64_t mbedtls_mpi_sint;
+ typedef uint64_t mbedtls_mpi_uint;
+ #if !defined(MBEDTLS_NO_UDBL_DIVISION)
+ /* mbedtls_t_udbl defined as 128-bit unsigned int */
+ typedef __uint128_t mbedtls_t_udbl;
+ #define MBEDTLS_HAVE_UDBL
+ #endif /* !MBEDTLS_NO_UDBL_DIVISION */
+ #elif defined(MBEDTLS_HAVE_INT64)
+ /* Force 64-bit integers with unknown compiler */
+ typedef int64_t mbedtls_mpi_sint;
+ typedef uint64_t mbedtls_mpi_uint;
+ #endif
+#endif /* !MBEDTLS_HAVE_INT32 */
+
+#if !defined(MBEDTLS_HAVE_INT64)
+ /* Default to 32-bit compilation */
+ #if !defined(MBEDTLS_HAVE_INT32)
+ #define MBEDTLS_HAVE_INT32
+ #endif /* !MBEDTLS_HAVE_INT32 */
+ typedef int32_t mbedtls_mpi_sint;
+ typedef uint32_t mbedtls_mpi_uint;
+ #if !defined(MBEDTLS_NO_UDBL_DIVISION)
+ typedef uint64_t mbedtls_t_udbl;
+ #define MBEDTLS_HAVE_UDBL
+ #endif /* !MBEDTLS_NO_UDBL_DIVISION */
+#endif /* !MBEDTLS_HAVE_INT64 */
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+ * \brief MPI structure
+ */
+typedef struct mbedtls_mpi
+{
+ int s; /*!< integer sign */
+ size_t n; /*!< total # of limbs */
+ mbedtls_mpi_uint *p; /*!< pointer to limbs */
+}
+mbedtls_mpi;
+
+/**
+ * \brief Initialize one MPI (make internal references valid)
+ * This just makes it ready to be set or freed,
+ * but does not define a value for the MPI.
+ *
+ * \param X One MPI to initialize.
+ */
+void mbedtls_mpi_init( mbedtls_mpi *X );
+
+/**
+ * \brief Unallocate one MPI
+ *
+ * \param X One MPI to unallocate.
+ */
+void mbedtls_mpi_free( mbedtls_mpi *X );
+
+/**
+ * \brief Enlarge to the specified number of limbs
+ *
+ * This function does nothing if the MPI is already large enough.
+ *
+ * \param X MPI to grow
+ * \param nblimbs The target number of limbs
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_grow( mbedtls_mpi *X, size_t nblimbs );
+
+/**
+ * \brief Resize down, keeping at least the specified number of limbs
+ *
+ * If \c X is smaller than \c nblimbs, it is resized up
+ * instead.
+ *
+ * \param X MPI to shrink
+ * \param nblimbs The minimum number of limbs to keep
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ * (this can only happen when resizing up).
+ */
+int mbedtls_mpi_shrink( mbedtls_mpi *X, size_t nblimbs );
+
+/**
+ * \brief Copy the contents of Y into X
+ *
+ * \param X Destination MPI. It is enlarged if necessary.
+ * \param Y Source MPI.
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_copy( mbedtls_mpi *X, const mbedtls_mpi *Y );
+
+/**
+ * \brief Swap the contents of X and Y
+ *
+ * \param X First MPI value
+ * \param Y Second MPI value
+ */
+void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y );
+
+/**
+ * \brief Safe conditional assignement X = Y if assign is 1
+ *
+ * \param X MPI to conditionally assign to
+ * \param Y Value to be assigned
+ * \param assign 1: perform the assignment, 0: keep X's original value
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ *
+ * \note This function is equivalent to
+ * if( assign ) mbedtls_mpi_copy( X, Y );
+ * except that it avoids leaking any information about whether
+ * the assignment was done or not (the above code may leak
+ * information through branch prediction and/or memory access
+ * patterns analysis).
+ */
+int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign );
+
+/**
+ * \brief Safe conditional swap X <-> Y if swap is 1
+ *
+ * \param X First mbedtls_mpi value
+ * \param Y Second mbedtls_mpi value
+ * \param assign 1: perform the swap, 0: keep X and Y's original values
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ *
+ * \note This function is equivalent to
+ * if( assign ) mbedtls_mpi_swap( X, Y );
+ * except that it avoids leaking any information about whether
+ * the assignment was done or not (the above code may leak
+ * information through branch prediction and/or memory access
+ * patterns analysis).
+ */
+int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char assign );
+
+/**
+ * \brief Set value from integer
+ *
+ * \param X MPI to set
+ * \param z Value to use
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_lset( mbedtls_mpi *X, mbedtls_mpi_sint z );
+
+/**
+ * \brief Get a specific bit from X
+ *
+ * \param X MPI to use
+ * \param pos Zero-based index of the bit in X
+ *
+ * \return Either a 0 or a 1
+ */
+int mbedtls_mpi_get_bit( const mbedtls_mpi *X, size_t pos );
+
+/**
+ * \brief Set a bit of X to a specific value of 0 or 1
+ *
+ * \note Will grow X if necessary to set a bit to 1 in a not yet
+ * existing limb. Will not grow if bit should be set to 0
+ *
+ * \param X MPI to use
+ * \param pos Zero-based index of the bit in X
+ * \param val The value to set the bit to (0 or 1)
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_BAD_INPUT_DATA if val is not 0 or 1
+ */
+int mbedtls_mpi_set_bit( mbedtls_mpi *X, size_t pos, unsigned char val );
+
+/**
+ * \brief Return the number of zero-bits before the least significant
+ * '1' bit
+ *
+ * Note: Thus also the zero-based index of the least significant '1' bit
+ *
+ * \param X MPI to use
+ */
+size_t mbedtls_mpi_lsb( const mbedtls_mpi *X );
+
+/**
+ * \brief Return the number of bits up to and including the most
+ * significant '1' bit'
+ *
+ * Note: Thus also the one-based index of the most significant '1' bit
+ *
+ * \param X MPI to use
+ */
+size_t mbedtls_mpi_bitlen( const mbedtls_mpi *X );
+
+/**
+ * \brief Return the total size in bytes
+ *
+ * \param X MPI to use
+ */
+size_t mbedtls_mpi_size( const mbedtls_mpi *X );
+
+/**
+ * \brief Import from an ASCII string
+ *
+ * \param X Destination MPI
+ * \param radix Input numeric base
+ * \param s Null-terminated string buffer
+ *
+ * \return 0 if successful, or a MBEDTLS_ERR_MPI_XXX error code
+ */
+int mbedtls_mpi_read_string( mbedtls_mpi *X, int radix, const char *s );
+
+/**
+ * \brief Export into an ASCII string
+ *
+ * \param X Source MPI
+ * \param radix Output numeric base
+ * \param buf Buffer to write the string to
+ * \param buflen Length of buf
+ * \param olen Length of the string written, including final NUL byte
+ *
+ * \return 0 if successful, or a MBEDTLS_ERR_MPI_XXX error code.
+ * *olen is always updated to reflect the amount
+ * of data that has (or would have) been written.
+ *
+ * \note Call this function with buflen = 0 to obtain the
+ * minimum required buffer size in *olen.
+ */
+int mbedtls_mpi_write_string( const mbedtls_mpi *X, int radix,
+ char *buf, size_t buflen, size_t *olen );
+
+#if defined(MBEDTLS_FS_IO)
+/**
+ * \brief Read MPI from a line in an opened file
+ *
+ * \param X Destination MPI
+ * \param radix Input numeric base
+ * \param fin Input file handle
+ *
+ * \return 0 if successful, MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if
+ * the file read buffer is too small or a
+ * MBEDTLS_ERR_MPI_XXX error code
+ *
+ * \note On success, this function advances the file stream
+ * to the end of the current line or to EOF.
+ *
+ * The function returns 0 on an empty line.
+ *
+ * Leading whitespaces are ignored, as is a
+ * '0x' prefix for radix 16.
+ *
+ */
+int mbedtls_mpi_read_file( mbedtls_mpi *X, int radix, FILE *fin );
+
+/**
+ * \brief Write X into an opened file, or stdout if fout is NULL
+ *
+ * \param p Prefix, can be NULL
+ * \param X Source MPI
+ * \param radix Output numeric base
+ * \param fout Output file handle (can be NULL)
+ *
+ * \return 0 if successful, or a MBEDTLS_ERR_MPI_XXX error code
+ *
+ * \note Set fout == NULL to print X on the console.
+ */
+int mbedtls_mpi_write_file( const char *p, const mbedtls_mpi *X, int radix, FILE *fout );
+#endif /* MBEDTLS_FS_IO */
+
+/**
+ * \brief Import X from unsigned binary data, big endian
+ *
+ * \param X Destination MPI
+ * \param buf Input buffer
+ * \param buflen Input buffer size
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_read_binary( 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 Source MPI
+ * \param buf Output buffer
+ * \param buflen Output buffer size
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if buf isn't large enough
+ */
+int mbedtls_mpi_write_binary( const mbedtls_mpi *X, unsigned char *buf, size_t buflen );
+
+/**
+ * \brief Left-shift: X <<= count
+ *
+ * \param X MPI to shift
+ * \param count Amount to shift
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_shift_l( mbedtls_mpi *X, size_t count );
+
+/**
+ * \brief Right-shift: X >>= count
+ *
+ * \param X MPI to shift
+ * \param count Amount to shift
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_shift_r( mbedtls_mpi *X, size_t count );
+
+/**
+ * \brief Compare unsigned values
+ *
+ * \param X Left-hand MPI
+ * \param Y Right-hand MPI
+ *
+ * \return 1 if |X| is greater than |Y|,
+ * -1 if |X| is lesser than |Y| or
+ * 0 if |X| is equal to |Y|
+ */
+int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y );
+
+/**
+ * \brief Compare signed values
+ *
+ * \param X Left-hand MPI
+ * \param Y Right-hand MPI
+ *
+ * \return 1 if X is greater than Y,
+ * -1 if X is lesser than Y or
+ * 0 if X is equal to Y
+ */
+int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y );
+
+/**
+ * \brief Compare signed values
+ *
+ * \param X Left-hand MPI
+ * \param z The integer value to compare to
+ *
+ * \return 1 if X is greater than z,
+ * -1 if X is lesser than z or
+ * 0 if X is equal to z
+ */
+int mbedtls_mpi_cmp_int( const mbedtls_mpi *X, mbedtls_mpi_sint z );
+
+/**
+ * \brief Unsigned addition: X = |A| + |B|
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_add_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Unsigned subtraction: X = |A| - |B|
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_NEGATIVE_VALUE if B is greater than A
+ */
+int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Signed addition: X = A + B
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_add_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Signed subtraction: X = A - B
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_sub_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Signed addition: X = A + b
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param b The integer value to add
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_add_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b );
+
+/**
+ * \brief Signed subtraction: X = A - b
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param b The integer value to subtract
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_sub_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b );
+
+/**
+ * \brief Baseline multiplication: X = A * B
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_mul_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Baseline multiplication: X = A * b
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param b The unsigned integer value to multiply with
+ *
+ * \note b is unsigned
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_mul_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_uint b );
+
+/**
+ * \brief Division by mbedtls_mpi: A = Q * B + R
+ *
+ * \param Q Destination MPI for the quotient
+ * \param R Destination MPI for the rest value
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if B == 0
+ *
+ * \note Either Q or R can be NULL.
+ */
+int mbedtls_mpi_div_mpi( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Division by int: A = Q * b + R
+ *
+ * \param Q Destination MPI for the quotient
+ * \param R Destination MPI for the rest value
+ * \param A Left-hand MPI
+ * \param b Integer to divide by
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if b == 0
+ *
+ * \note Either Q or R can be NULL.
+ */
+int mbedtls_mpi_div_int( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, mbedtls_mpi_sint b );
+
+/**
+ * \brief Modulo: R = A mod B
+ *
+ * \param R Destination MPI for the rest value
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if B == 0,
+ * MBEDTLS_ERR_MPI_NEGATIVE_VALUE if B < 0
+ */
+int mbedtls_mpi_mod_mpi( mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Modulo: r = A mod b
+ *
+ * \param r Destination mbedtls_mpi_uint
+ * \param A Left-hand MPI
+ * \param b Integer to divide by
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if b == 0,
+ * MBEDTLS_ERR_MPI_NEGATIVE_VALUE if b < 0
+ */
+int mbedtls_mpi_mod_int( mbedtls_mpi_uint *r, const mbedtls_mpi *A, mbedtls_mpi_sint b );
+
+/**
+ * \brief Sliding-window exponentiation: X = A^E mod N
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param E Exponent MPI
+ * \param N Modular MPI
+ * \param _RR Speed-up MPI used for recalculations
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_BAD_INPUT_DATA if N is negative or even or
+ * if E is negative
+ *
+ * \note _RR is used to avoid re-computing R*R mod N across
+ * multiple calls, which speeds up things a bit. It can
+ * be set to NULL if the extra performance is unneeded.
+ */
+int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *E, const mbedtls_mpi *N, mbedtls_mpi *_RR );
+
+/**
+ * \brief Fill an MPI X with size bytes of random
+ *
+ * \param X Destination MPI
+ * \param size Size in bytes
+ * \param f_rng RNG function
+ * \param p_rng RNG parameter
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ *
+ * \note The bytes obtained from the PRNG 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 );
+
+/**
+ * \brief Greatest common divisor: G = gcd(A, B)
+ *
+ * \param G Destination MPI
+ * \param A Left-hand MPI
+ * \param B Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed
+ */
+int mbedtls_mpi_gcd( mbedtls_mpi *G, const mbedtls_mpi *A, const mbedtls_mpi *B );
+
+/**
+ * \brief Modular inverse: X = A^-1 mod N
+ *
+ * \param X Destination MPI
+ * \param A Left-hand MPI
+ * \param N Right-hand MPI
+ *
+ * \return 0 if successful,
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_BAD_INPUT_DATA if N is <= 1,
+ MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if A has no inverse mod N.
+ */
+int mbedtls_mpi_inv_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *N );
+
+/**
+ * \brief Miller-Rabin primality test
+ *
+ * \param X MPI to check
+ * \param f_rng RNG function
+ * \param p_rng RNG parameter
+ *
+ * \return 0 if successful (probably prime),
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if X is not prime
+ */
+int mbedtls_mpi_is_prime( const mbedtls_mpi *X,
+ int (*f_rng)(void *, unsigned char *, size_t),
+ void *p_rng );
+
+/**
+ * \brief Prime number generation
+ *
+ * \param X Destination MPI
+ * \param nbits Required size of X in bits
+ * ( 3 <= nbits <= MBEDTLS_MPI_MAX_BITS )
+ * \param dh_flag If 1, then (X-1)/2 will be prime too
+ * \param f_rng RNG function
+ * \param p_rng RNG parameter
+ *
+ * \return 0 if successful (probably prime),
+ * MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,
+ * MBEDTLS_ERR_MPI_BAD_INPUT_DATA if nbits is < 3
+ */
+int mbedtls_mpi_gen_prime( mbedtls_mpi *X, size_t nbits, int dh_flag,
+ int (*f_rng)(void *, unsigned char *, size_t),
+ void *p_rng );
+
+/**
+ * \brief Checkup routine
+ *
+ * \return 0 if successful, or 1 if the test failed
+ */
+int mbedtls_mpi_self_test( int verbose );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* bignum.h */
projects / proxmark3-svn / blobdiff