554 lines
23 KiB
C
554 lines
23 KiB
C
/**
|
|
* Core bignum functions
|
|
*
|
|
* This interface should only be used by the legacy bignum module (bignum.h)
|
|
* and the modular bignum modules (bignum_mod.c, bignum_mod_raw.c). All other
|
|
* modules should use the high-level modular bignum interface (bignum_mod.h)
|
|
* or the legacy bignum interface (bignum.h).
|
|
*
|
|
* This module is about processing non-negative integers with a fixed upper
|
|
* bound that's of the form 2^n-1 where n is a multiple of #biL.
|
|
* These can be thought of integers written in base 2^#biL with a fixed
|
|
* number of digits. Digits in this base are called *limbs*.
|
|
* Many operations treat these numbers as the principal representation of
|
|
* a number modulo 2^n or a smaller bound.
|
|
*
|
|
* The functions in this module obey the following conventions unless
|
|
* explicitly indicated otherwise:
|
|
*
|
|
* - **Overflow**: some functions indicate overflow from the range
|
|
* [0, 2^n-1] by returning carry parameters, while others operate
|
|
* modulo and so cannot overflow. This should be clear from the function
|
|
* documentation.
|
|
* - **Bignum parameters**: Bignums are passed as pointers to an array of
|
|
* limbs. A limb has the type #mbedtls_mpi_uint. Unless otherwise specified:
|
|
* - Bignum parameters called \p A, \p B, ... are inputs, and are
|
|
* not modified by the function.
|
|
* - For operations modulo some number, the modulus is called \p N
|
|
* and is input-only.
|
|
* - Bignum parameters called \p X, \p Y are outputs or input-output.
|
|
* The initial content of output-only parameters is ignored.
|
|
* - Some functions use different names that reflect traditional
|
|
* naming of operands of certain operations (e.g.
|
|
* divisor/dividend/quotient/remainder).
|
|
* - \p T is a temporary storage area. The initial content of such
|
|
* parameter is ignored and the final content is unspecified.
|
|
* - **Bignum sizes**: bignum sizes are always expressed in limbs.
|
|
* Most functions work on bignums of a given size and take a single
|
|
* \p limbs parameter that applies to all parameters that are limb arrays.
|
|
* All bignum sizes must be at least 1 and must be significantly less than
|
|
* #SIZE_MAX. The behavior if a size is 0 is undefined. The behavior if the
|
|
* total size of all parameters overflows #SIZE_MAX is undefined.
|
|
* - **Parameter ordering**: for bignum parameters, outputs come before inputs.
|
|
* Temporaries come last.
|
|
* - **Aliasing**: in general, output bignums may be aliased to one or more
|
|
* inputs. As an exception, parameters that are documented as a modulus value
|
|
* may not be aliased to an output. Outputs may not be aliased to one another.
|
|
* Temporaries may not be aliased to any other parameter.
|
|
* - **Overlap**: apart from aliasing of limb array pointers (where two
|
|
* arguments are equal pointers), overlap is not supported and may result
|
|
* in undefined behavior.
|
|
* - **Error handling**: This is a low-level module. Functions generally do not
|
|
* try to protect against invalid arguments such as nonsensical sizes or
|
|
* null pointers. Note that some functions that operate on bignums of
|
|
* different sizes have constraints about their size, and violating those
|
|
* constraints may lead to buffer overflows.
|
|
* - **Modular representatives**: functions that operate modulo \p N expect
|
|
* all modular inputs to be in the range [0, \p N - 1] and guarantee outputs
|
|
* in the range [0, \p N - 1]. If an input is out of range, outputs are
|
|
* fully unspecified, though bignum values out of range should not cause
|
|
* buffer overflows (beware that this is not extensively tested).
|
|
*/
|
|
|
|
/*
|
|
* Copyright The Mbed TLS Contributors
|
|
* SPDX-License-Identifier: Apache-2.0
|
|
*
|
|
* Licensed under the Apache License, Version 2.0 (the "License"); you may
|
|
* not use this file except in compliance with the License.
|
|
* You may obtain a copy of the License at
|
|
*
|
|
* http://www.apache.org/licenses/LICENSE-2.0
|
|
*
|
|
* Unless required by applicable law or agreed to in writing, software
|
|
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
|
|
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
* See the License for the specific language governing permissions and
|
|
* limitations under the License.
|
|
*/
|
|
|
|
#ifndef MBEDTLS_BIGNUM_CORE_H
|
|
#define MBEDTLS_BIGNUM_CORE_H
|
|
|
|
#include "common.h"
|
|
|
|
#if defined(MBEDTLS_BIGNUM_C)
|
|
#include "mbedtls/bignum.h"
|
|
#endif
|
|
|
|
#define ciL ( sizeof(mbedtls_mpi_uint) ) /** chars in limb */
|
|
#define biL ( ciL << 3 ) /** bits in limb */
|
|
#define biH ( ciL << 2 ) /** half limb size */
|
|
|
|
/*
|
|
* Convert between bits/chars and number of limbs
|
|
* Divide first in order to avoid potential overflows
|
|
*/
|
|
#define BITS_TO_LIMBS(i) ( (i) / biL + ( (i) % biL != 0 ) )
|
|
#define CHARS_TO_LIMBS(i) ( (i) / ciL + ( (i) % ciL != 0 ) )
|
|
/* Get a specific byte, without range checks. */
|
|
#define GET_BYTE( X, i ) \
|
|
( ( (X)[(i) / ciL] >> ( ( (i) % ciL ) * 8 ) ) & 0xff )
|
|
|
|
/** Count leading zero bits in a given integer.
|
|
*
|
|
* \param a Integer to count leading zero bits.
|
|
*
|
|
* \return The number of leading zero bits in \p a.
|
|
*/
|
|
size_t mbedtls_mpi_core_clz( mbedtls_mpi_uint a );
|
|
|
|
/** Return the minimum number of bits required to represent the value held
|
|
* in the MPI.
|
|
*
|
|
* \note This function returns 0 if all the limbs of \p A are 0.
|
|
*
|
|
* \param[in] A The address of the MPI.
|
|
* \param A_limbs The number of limbs of \p A.
|
|
*
|
|
* \return The number of bits in \p A.
|
|
*/
|
|
size_t mbedtls_mpi_core_bitlen( const mbedtls_mpi_uint *A, size_t A_limbs );
|
|
|
|
/** Convert a big-endian byte array aligned to the size of mbedtls_mpi_uint
|
|
* into the storage form used by mbedtls_mpi.
|
|
*
|
|
* \param[in,out] A The address of the MPI.
|
|
* \param A_limbs The number of limbs of \p A.
|
|
*/
|
|
void mbedtls_mpi_core_bigendian_to_host( mbedtls_mpi_uint *A,
|
|
size_t A_limbs );
|
|
|
|
/**
|
|
* \brief Perform a safe conditional copy of an MPI which doesn't reveal
|
|
* whether assignment was done or not.
|
|
*
|
|
* \param[out] X The address of the destination MPI.
|
|
* This must be initialized. Must have enough limbs to
|
|
* store the full value of \p A.
|
|
* \param[in] A The address of the source MPI. This must be initialized.
|
|
* \param limbs The number of limbs of \p A.
|
|
* \param assign The condition deciding whether to perform the
|
|
* assignment or not. Must be either 0 or 1:
|
|
* * \c 1: Perform the assignment `X = A`.
|
|
* * \c 0: Keep the original value of \p X.
|
|
*
|
|
* \note This function avoids leaking any information about whether
|
|
* the assignment was done or not.
|
|
*
|
|
* \warning If \p assign is neither 0 nor 1, the result of this function
|
|
* is indeterminate, and the resulting value in \p X might be
|
|
* neither its original value nor the value in \p A.
|
|
*/
|
|
void mbedtls_mpi_core_cond_assign( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
size_t limbs,
|
|
unsigned char assign );
|
|
|
|
/**
|
|
* \brief Perform a safe conditional swap of two MPIs which doesn't reveal
|
|
* whether the swap was done or not.
|
|
*
|
|
* \param[in,out] X The address of the first MPI.
|
|
* This must be initialized.
|
|
* \param[in,out] Y The address of the second MPI.
|
|
* This must be initialized.
|
|
* \param limbs The number of limbs of \p X and \p Y.
|
|
* \param swap The condition deciding whether to perform
|
|
* the swap or not. Must be either 0 or 1:
|
|
* * \c 1: Swap the values of \p X and \p Y.
|
|
* * \c 0: Keep the original values of \p X and \p Y.
|
|
*
|
|
* \note This function avoids leaking any information about whether
|
|
* the swap was done or not.
|
|
*
|
|
* \warning If \p swap is neither 0 nor 1, the result of this function
|
|
* is indeterminate, and both \p X and \p Y might end up with
|
|
* values different to either of the original ones.
|
|
*/
|
|
void mbedtls_mpi_core_cond_swap( mbedtls_mpi_uint *X,
|
|
mbedtls_mpi_uint *Y,
|
|
size_t limbs,
|
|
unsigned char swap );
|
|
|
|
/** Import X from unsigned binary data, little-endian.
|
|
*
|
|
* The MPI needs to have enough limbs to store the full value (including any
|
|
* most significant zero bytes in the input).
|
|
*
|
|
* \param[out] X The address of the MPI.
|
|
* \param X_limbs The number of limbs of \p X.
|
|
* \param[in] input The input buffer to import from.
|
|
* \param input_length The length bytes of \p input.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p X isn't
|
|
* large enough to hold the value in \p input.
|
|
*/
|
|
int mbedtls_mpi_core_read_le( mbedtls_mpi_uint *X,
|
|
size_t X_limbs,
|
|
const unsigned char *input,
|
|
size_t input_length );
|
|
|
|
/** Import X from unsigned binary data, big-endian.
|
|
*
|
|
* The MPI needs to have enough limbs to store the full value (including any
|
|
* most significant zero bytes in the input).
|
|
*
|
|
* \param[out] X The address of the MPI.
|
|
* May only be #NULL if \X_limbs is 0 and \p input_length
|
|
* is 0.
|
|
* \param X_limbs The number of limbs of \p X.
|
|
* \param[in] input The input buffer to import from.
|
|
* May only be #NULL if \p input_length is 0.
|
|
* \param input_length The length in bytes of \p input.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p X isn't
|
|
* large enough to hold the value in \p input.
|
|
*/
|
|
int mbedtls_mpi_core_read_be( mbedtls_mpi_uint *X,
|
|
size_t X_limbs,
|
|
const unsigned char *input,
|
|
size_t input_length );
|
|
|
|
/** Export A into unsigned binary data, little-endian.
|
|
*
|
|
* \note If \p output is shorter than \p A the export is still successful if the
|
|
* value held in \p A fits in the buffer (that is, if enough of the most
|
|
* significant bytes of \p A are 0).
|
|
*
|
|
* \param[in] A The address of the MPI.
|
|
* \param A_limbs The number of limbs of \p A.
|
|
* \param[out] output The output buffer to export to.
|
|
* \param output_length The length in bytes of \p output.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p output isn't
|
|
* large enough to hold the value of \p A.
|
|
*/
|
|
int mbedtls_mpi_core_write_le( const mbedtls_mpi_uint *A,
|
|
size_t A_limbs,
|
|
unsigned char *output,
|
|
size_t output_length );
|
|
|
|
/** Export A into unsigned binary data, big-endian.
|
|
*
|
|
* \note If \p output is shorter than \p A the export is still successful if the
|
|
* value held in \p A fits in the buffer (that is, if enough of the most
|
|
* significant bytes of \p A are 0).
|
|
*
|
|
* \param[in] A The address of the MPI.
|
|
* \param A_limbs The number of limbs of \p A.
|
|
* \param[out] output The output buffer to export to.
|
|
* \param output_length The length in bytes of \p output.
|
|
*
|
|
* \return \c 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p output isn't
|
|
* large enough to hold the value of \p A.
|
|
*/
|
|
int mbedtls_mpi_core_write_be( const mbedtls_mpi_uint *A,
|
|
size_t A_limbs,
|
|
unsigned char *output,
|
|
size_t output_length );
|
|
|
|
/** \brief Shift an MPI right in place by a number of bits.
|
|
*
|
|
* Shifting by more bits than there are bit positions
|
|
* in \p X is valid and results in setting \p X to 0.
|
|
*
|
|
* This function's execution time depends on the value
|
|
* of \p count (and of course \p limbs).
|
|
*
|
|
* \param[in,out] X The number to shift.
|
|
* \param limbs The number of limbs of \p X. This must be at least 1.
|
|
* \param count The number of bits to shift by.
|
|
*/
|
|
void mbedtls_mpi_core_shift_r( mbedtls_mpi_uint *X, size_t limbs,
|
|
size_t count );
|
|
|
|
/**
|
|
* \brief Add two fixed-size large unsigned integers, returning the carry.
|
|
*
|
|
* Calculates `A + B` where `A` and `B` have the same size.
|
|
*
|
|
* This function operates modulo `2^(biL*limbs)` and returns the carry
|
|
* (1 if there was a wraparound, and 0 otherwise).
|
|
*
|
|
* \p X may be aliased to \p A or \p B.
|
|
*
|
|
* \param[out] X The result of the addition.
|
|
* \param[in] A Little-endian presentation of the left operand.
|
|
* \param[in] B Little-endian presentation of the right operand.
|
|
* \param limbs Number of limbs of \p X, \p A and \p B.
|
|
*
|
|
* \return 1 if `A + B >= 2^(biL*limbs)`, 0 otherwise.
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_add( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
const mbedtls_mpi_uint *B,
|
|
size_t limbs );
|
|
|
|
/**
|
|
* \brief Conditional addition of two fixed-size large unsigned integers,
|
|
* returning the carry.
|
|
*
|
|
* Functionally equivalent to
|
|
*
|
|
* ```
|
|
* if( cond )
|
|
* X += A;
|
|
* return carry;
|
|
* ```
|
|
*
|
|
* This function operates modulo `2^(biL*limbs)`.
|
|
*
|
|
* \param[in,out] X The pointer to the (little-endian) array
|
|
* representing the bignum to accumulate onto.
|
|
* \param[in] A The pointer to the (little-endian) array
|
|
* representing the bignum to conditionally add
|
|
* to \p X. This may be aliased to \p X but may not
|
|
* overlap otherwise.
|
|
* \param limbs Number of limbs of \p X and \p A.
|
|
* \param cond Condition bit dictating whether addition should
|
|
* happen or not. This must be \c 0 or \c 1.
|
|
*
|
|
* \warning If \p cond is neither 0 nor 1, the result of this function
|
|
* is unspecified, and the resulting value in \p X might be
|
|
* neither its original value nor \p X + \p A.
|
|
*
|
|
* \return 1 if `X + cond * A >= 2^(biL*limbs)`, 0 otherwise.
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_add_if( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
size_t limbs,
|
|
unsigned cond );
|
|
|
|
/**
|
|
* \brief Subtract two fixed-size large unsigned integers, returning the borrow.
|
|
*
|
|
* Calculate `A - B` where \p A and \p B have the same size.
|
|
* This function operates modulo `2^(biL*limbs)` and returns the carry
|
|
* (1 if there was a wraparound, i.e. if `A < B`, and 0 otherwise).
|
|
*
|
|
* \p X may be aliased to \p A or \p B, or even both, but may not overlap
|
|
* either otherwise.
|
|
*
|
|
* \param[out] X The result of the subtraction.
|
|
* \param[in] A Little-endian presentation of left operand.
|
|
* \param[in] B Little-endian presentation of right operand.
|
|
* \param limbs Number of limbs of \p X, \p A and \p B.
|
|
*
|
|
* \return 1 if `A < B`.
|
|
* 0 if `A >= B`.
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_sub( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
const mbedtls_mpi_uint *B,
|
|
size_t limbs );
|
|
|
|
/**
|
|
* \brief Perform a fixed-size multiply accumulate operation: X += b * A
|
|
*
|
|
* \p X may be aliased to \p A (when \p X_limbs == \p A_limbs), but may not
|
|
* otherwise overlap.
|
|
*
|
|
* This function operates modulo `2^(biL*X_limbs)`.
|
|
*
|
|
* \param[in,out] X The pointer to the (little-endian) array
|
|
* representing the bignum to accumulate onto.
|
|
* \param X_limbs The number of limbs of \p X. This must be
|
|
* at least \p A_limbs.
|
|
* \param[in] A The pointer to the (little-endian) array
|
|
* representing the bignum to multiply with.
|
|
* This may be aliased to \p X but may not overlap
|
|
* otherwise.
|
|
* \param A_limbs The number of limbs of \p A.
|
|
* \param b X scalar to multiply with.
|
|
*
|
|
* \return The carry at the end of the operation.
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_mla( mbedtls_mpi_uint *X, size_t X_limbs,
|
|
const mbedtls_mpi_uint *A, size_t A_limbs,
|
|
mbedtls_mpi_uint b );
|
|
|
|
/**
|
|
* \brief Calculate initialisation value for fast Montgomery modular
|
|
* multiplication
|
|
*
|
|
* \param[in] N Little-endian presentation of the modulus. This must have
|
|
* at least one limb.
|
|
*
|
|
* \return The initialisation value for fast Montgomery modular multiplication
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_montmul_init( const mbedtls_mpi_uint *N );
|
|
|
|
/**
|
|
* \brief Montgomery multiplication: X = A * B * R^-1 mod N (HAC 14.36)
|
|
*
|
|
* \p A and \p B must be in canonical form. That is, < \p N.
|
|
*
|
|
* \p X may be aliased to \p A or \p N, or even \p B (if \p AN_limbs ==
|
|
* \p B_limbs) but may not overlap any parameters otherwise.
|
|
*
|
|
* \p A and \p B may alias each other, if \p AN_limbs == \p B_limbs. They may
|
|
* not alias \p N (since they must be in canonical form, they cannot == \p N).
|
|
*
|
|
* \param[out] X The destination MPI, as a little-endian array of
|
|
* length \p AN_limbs.
|
|
* On successful completion, X contains the result of
|
|
* the multiplication `A * B * R^-1` mod N where
|
|
* `R = 2^(biL*AN_limbs)`.
|
|
* \param[in] A Little-endian presentation of first operand.
|
|
* Must have the same number of limbs as \p N.
|
|
* \param[in] B Little-endian presentation of second operand.
|
|
* \param[in] B_limbs The number of limbs in \p B.
|
|
* Must be <= \p AN_limbs.
|
|
* \param[in] N Little-endian presentation of the modulus.
|
|
* This must be odd, and have exactly the same number
|
|
* of limbs as \p A.
|
|
* It may alias \p X, but must not alias or otherwise
|
|
* overlap any of the other parameters.
|
|
* \param[in] AN_limbs The number of limbs in \p X, \p A and \p N.
|
|
* \param mm The Montgomery constant for \p N: -N^-1 mod 2^biL.
|
|
* This can be calculated by `mbedtls_mpi_core_montmul_init()`.
|
|
* \param[in,out] T Temporary storage of size at least 2*AN_limbs+1 limbs.
|
|
* Its initial content is unused and
|
|
* its final content is indeterminate.
|
|
* It must not alias or otherwise overlap any of the
|
|
* other parameters.
|
|
*/
|
|
void mbedtls_mpi_core_montmul( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
const mbedtls_mpi_uint *B, size_t B_limbs,
|
|
const mbedtls_mpi_uint *N, size_t AN_limbs,
|
|
mbedtls_mpi_uint mm, mbedtls_mpi_uint *T );
|
|
|
|
/**
|
|
* \brief Calculate the square of the Montgomery constant. (Needed
|
|
* for conversion and operations in Montgomery form.)
|
|
*
|
|
* \param[out] X A pointer to the result of the calculation of
|
|
* the square of the Montgomery constant:
|
|
* 2^{2*n*biL} mod N.
|
|
* \param[in] N Little-endian presentation of the modulus, which must be odd.
|
|
*
|
|
* \return 0 if successful.
|
|
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if there is not enough space
|
|
* to store the value of Montgomery constant squared.
|
|
* \return #MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if \p N modulus is zero.
|
|
* \return #MBEDTLS_ERR_MPI_NEGATIVE_VALUE if \p N modulus is negative.
|
|
*/
|
|
int mbedtls_mpi_core_get_mont_r2_unsafe( mbedtls_mpi *X,
|
|
const mbedtls_mpi *N );
|
|
|
|
/**
|
|
* Copy an MPI from a table without leaking the index.
|
|
*
|
|
* \param dest The destination buffer. This must point to a writable
|
|
* buffer of at least \p limbs limbs.
|
|
* \param table The address of the table. This must point to a readable
|
|
* array of \p count elements of \p limbs limbs each.
|
|
* \param limbs The number of limbs in each table entry.
|
|
* \param count The number of entries in \p table.
|
|
* \param index The (secret) table index to look up. This must be in the
|
|
* range `0 .. count-1`.
|
|
*/
|
|
void mbedtls_mpi_core_ct_uint_table_lookup( mbedtls_mpi_uint *dest,
|
|
const mbedtls_mpi_uint *table,
|
|
size_t limbs,
|
|
size_t count,
|
|
size_t index );
|
|
|
|
/**
|
|
* \brief Fill an integer with a number of random bytes.
|
|
*
|
|
* \param X The destination MPI.
|
|
* \param X_limbs The number of limbs of \p X.
|
|
* \param bytes 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_BAD_INPUT_DATA if \p X does not have
|
|
* enough room for \p bytes bytes.
|
|
* \return A negative error code on RNG 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_core_fill_random( mbedtls_mpi_uint *X, size_t X_limbs,
|
|
size_t bytes,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng );
|
|
|
|
/* BEGIN MERGE SLOT 1 */
|
|
|
|
/* END MERGE SLOT 1 */
|
|
|
|
/* BEGIN MERGE SLOT 2 */
|
|
|
|
/* END MERGE SLOT 2 */
|
|
|
|
/* BEGIN MERGE SLOT 3 */
|
|
|
|
/**
|
|
* \brief Subtract unsigned integer from known-size large unsigned integers.
|
|
* Return the borrow.
|
|
*
|
|
* \param[out] X The result of the subtraction.
|
|
* \param[in] A The left operand.
|
|
* \param b The unsigned scalar to subtract.
|
|
* \param limbs Number of limbs of \p X and \p A.
|
|
*
|
|
* \return 1 if `A < b`.
|
|
* 0 if `A >= b`.
|
|
*/
|
|
mbedtls_mpi_uint mbedtls_mpi_core_sub_int( mbedtls_mpi_uint *X,
|
|
const mbedtls_mpi_uint *A,
|
|
mbedtls_mpi_uint b,
|
|
size_t limbs );
|
|
|
|
/* END MERGE SLOT 3 */
|
|
|
|
/* BEGIN MERGE SLOT 4 */
|
|
|
|
/* END MERGE SLOT 4 */
|
|
|
|
/* BEGIN MERGE SLOT 5 */
|
|
|
|
/* END MERGE SLOT 5 */
|
|
|
|
/* BEGIN MERGE SLOT 6 */
|
|
|
|
/* END MERGE SLOT 6 */
|
|
|
|
/* BEGIN MERGE SLOT 7 */
|
|
|
|
/* END MERGE SLOT 7 */
|
|
|
|
/* BEGIN MERGE SLOT 8 */
|
|
|
|
/* END MERGE SLOT 8 */
|
|
|
|
/* BEGIN MERGE SLOT 9 */
|
|
|
|
/* END MERGE SLOT 9 */
|
|
|
|
/* BEGIN MERGE SLOT 10 */
|
|
|
|
/* END MERGE SLOT 10 */
|
|
|
|
#endif /* MBEDTLS_BIGNUM_CORE_H */
|