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Merge pull request #6619 from minosgalanakis/bignum/add_high_lv_IO_methods

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Bignum: Adding High level I/O methods
This commit is contained in:
Janos Follath 2022-11-28 17:27:48 +00:00 committed by GitHub
commit 97915c8685
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GPG key ID: 4AEE18F83AFDEB23
7 changed files with 648 additions and 84 deletions
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80
library/bignum_mod.c
View file

@ -39,7 +39,7 @@ int mbedtls_mpi_mod_residue_setup( mbedtls_mpi_mod_residue *r,
mbedtls_mpi_uint *p,
size_t p_limbs )
{
if( p_limbs < m->limbs || !mbedtls_mpi_core_lt_ct( m->p, p, p_limbs ) )
if( p_limbs != m->limbs || !mbedtls_mpi_core_lt_ct( p, m->p, m->limbs ) )
return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
r->limbs = m->limbs;
@ -65,7 +65,6 @@ void mbedtls_mpi_mod_modulus_init( mbedtls_mpi_mod_modulus *m )
m->p = NULL;
m->limbs = 0;
m->bits = 0;
m->ext_rep = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
m->int_rep = MBEDTLS_MPI_MOD_REP_INVALID;
}
@ -96,7 +95,6 @@ void mbedtls_mpi_mod_modulus_free( mbedtls_mpi_mod_modulus *m )
m->p = NULL;
m->limbs = 0;
m->bits = 0;
m->ext_rep = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
m->int_rep = MBEDTLS_MPI_MOD_REP_INVALID;
}
@ -138,7 +136,6 @@ cleanup:
int mbedtls_mpi_mod_modulus_setup( mbedtls_mpi_mod_modulus *m,
const mbedtls_mpi_uint *p,
size_t p_limbs,
mbedtls_mpi_mod_ext_rep ext_rep,
mbedtls_mpi_mod_rep_selector int_rep )
{
int ret = 0;
@ -147,17 +144,6 @@ int mbedtls_mpi_mod_modulus_setup( mbedtls_mpi_mod_modulus *m,
m->limbs = p_limbs;
m->bits = mbedtls_mpi_core_bitlen( p, p_limbs );
switch( ext_rep )
{
case MBEDTLS_MPI_MOD_EXT_REP_LE:
case MBEDTLS_MPI_MOD_EXT_REP_BE:
m->ext_rep = ext_rep;
break;
default:
ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
goto exit;
}
switch( int_rep )
{
case MBEDTLS_MPI_MOD_REP_MONTGOMERY:
@ -209,7 +195,71 @@ exit:
/* END MERGE SLOT 6 */
/* BEGIN MERGE SLOT 7 */
int mbedtls_mpi_mod_read( mbedtls_mpi_mod_residue *r,
const mbedtls_mpi_mod_modulus *m,
const unsigned char *buf,
size_t buflen,
mbedtls_mpi_mod_ext_rep ext_rep )
{
int ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
/* Do our best to check if r and m have been set up */
if( r->limbs == 0 || m->limbs == 0 )
goto cleanup;
if( r->limbs != m->limbs )
goto cleanup;
ret = mbedtls_mpi_mod_raw_read( r->p, m, buf, buflen, ext_rep );
if( ret != 0 )
goto cleanup;
r->limbs = m->limbs;
if( m->int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY )
ret = mbedtls_mpi_mod_raw_to_mont_rep( r->p, m );
cleanup:
return ( ret );
}
int mbedtls_mpi_mod_write( const mbedtls_mpi_mod_residue *r,
const mbedtls_mpi_mod_modulus *m,
unsigned char *buf,
size_t buflen,
mbedtls_mpi_mod_ext_rep ext_rep )
{
int ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
/* Do our best to check if r and m have been set up */
if( r->limbs == 0 || m->limbs == 0 )
goto cleanup;
if( r->limbs != m->limbs )
goto cleanup;
if( m->int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY )
{
ret = mbedtls_mpi_mod_raw_from_mont_rep( r->p, m );
if( ret != 0 )
goto cleanup;
}
ret = mbedtls_mpi_mod_raw_write( r->p, m, buf, buflen, ext_rep );
if( m->int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY )
{
/* If this fails, the value of r is corrupted and we want to return
* this error (as opposed to the error code from the write above) to
* let the caller know. If it succeeds, we want to return the error
* code from write above. */
int conv_ret = mbedtls_mpi_mod_raw_to_mont_rep( r->p, m );
if( ret == 0 )
ret = conv_ret;
}
cleanup:
return ( ret );
}
/* END MERGE SLOT 7 */
/* BEGIN MERGE SLOT 8 */

97
library/bignum_mod.h
View file

@ -64,7 +64,6 @@ typedef struct {
const mbedtls_mpi_uint *p;
size_t limbs; // number of limbs
size_t bits; // bitlen of p
mbedtls_mpi_mod_ext_rep ext_rep; // signals external representation (eg. byte order)
mbedtls_mpi_mod_rep_selector int_rep; // selector to signal the active member of the union
union rep
{
@ -75,16 +74,27 @@ typedef struct {
/** Setup a residue structure.
*
* \param[out] r The address of residue to setup. The size is determined by
* \p m.
* (In particular, it must have at least as many limbs as the
* modulus \p m.)
* The residue will be set up with the buffer \p p and modulus \p m.
*
* The memory pointed to by \p p will be used by the resulting residue structure.
* The value at the pointed-to memory will be the initial value of \p r and must
* hold a value that is less than the modulus. This value will be used as-is
* and interpreted according to the value of the `m->int_rep` field.
*
* The modulus \p m will be the modulus associated with \p r. The residue \p r
* should only be used in operations where the modulus is \p m.
*
* \param[out] r The address of the residue to setup.
* \param[in] m The address of the modulus related to \p r.
* \param[in] p The address of the limb array storing the value of \p r.
* \param[in] p The address of the limb array containing the value of \p r.
* The memory pointed to by \p p will be used by \p r and must
* not be modified in any way until after
* mbedtls_mpi_mod_residue_release() is called.
* \param p_limbs The number of limbs of \p p.
* mbedtls_mpi_mod_residue_release() is called. The data
* pointed to by \p p must be less than the modulus (the value
* pointed to by `m->p`) and already in the representation
* indicated by `m->int_rep`.
* \param p_limbs The number of limbs of \p p. Must be the same as the number
* of limbs in the modulus \p m.
*
* \return \c 0 if successful.
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p p_limbs is less than the
@ -121,19 +131,15 @@ void mbedtls_mpi_mod_modulus_init( mbedtls_mpi_mod_modulus *m );
* not be modified in any way until after
* mbedtls_mpi_mod_modulus_free() is called.
* \param p_limbs The number of limbs of \p p.
* \param ext_rep The external representation to be used for residues
* associated with \p m (see #mbedtls_mpi_mod_ext_rep).
* \param int_rep The internal representation to be used for residues
* associated with \p m (see #mbedtls_mpi_mod_rep_selector).
*
* \return \c 0 if successful.
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p ext_rep or \p int_rep is
* invalid.
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p int_rep is invalid.
*/
int mbedtls_mpi_mod_modulus_setup( mbedtls_mpi_mod_modulus *m,
const mbedtls_mpi_uint *p,
size_t p_limbs,
mbedtls_mpi_mod_ext_rep ext_rep,
mbedtls_mpi_mod_rep_selector int_rep );
/** Free elements of a modulus structure.
@ -173,7 +179,72 @@ void mbedtls_mpi_mod_modulus_free( mbedtls_mpi_mod_modulus *m );
/* END MERGE SLOT 6 */
/* BEGIN MERGE SLOT 7 */
/** Read a residue from a byte buffer.
*
* The residue will be automatically converted to the internal representation
* based on the value of the `m->int_rep` field.
*
* The modulus \p m will be the modulus associated with \p r. The residue \p r
* should only be used in operations where the modulus is \p m or a modulus
* equivalent to \p m (in the sense that all their fields or memory pointed by
* their fields hold the same value).
*
* \param[out] r The address of the residue. It must have exactly the same
* number of limbs as the modulus \p m.
* \param[in] m The address of the modulus.
* \param[in] buf The input buffer to import from.
* \param buflen The length in bytes of \p buf.
* \param ext_rep The endianness of the number in the input buffer.
*
* \return \c 0 if successful.
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p r isn't
* large enough to hold the value in \p buf.
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p ext_rep
* is invalid or the value in the buffer is not less than \p m.
*/
int mbedtls_mpi_mod_read( mbedtls_mpi_mod_residue *r,
const mbedtls_mpi_mod_modulus *m,
const unsigned char *buf,
size_t buflen,
mbedtls_mpi_mod_ext_rep ext_rep );
/** Write a residue into a byte buffer.
*
* The modulus \p m must be the modulus associated with \p r (see
* mbedtls_mpi_mod_residue_setup() and mbedtls_mpi_mod_read()).
*
* The residue will be automatically converted from the internal representation
* based on the value of `m->int_rep` field.
*
* \warning If the buffer is smaller than `m->bits`, the number of
* leading zeroes is leaked through timing. If \p r is
* secret, the caller must ensure that \p buflen is at least
* (`m->bits`+7)/8.
*
* \param[in] r The address of the residue. It must have the same number of
* limbs as the modulus \p m. (\p r is an input parameter, but
* its value will be modified during execution and restored
* before the function returns.)
* \param[in] m The address of the modulus associated with \r.
* \param[out] buf The output buffer to export to.
* \param buflen The length in bytes of \p buf.
* \param ext_rep The endianness in which the number should be written into
* the output buffer.
*
* \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 r (without leading
* zeroes).
* \return #MBEDTLS_ERR_MPI_BAD_INPUT_DATA if \p ext_rep is invalid.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if couldn't allocate enough
* memory for conversion. Can occur only for moduli with
* MBEDTLS_MPI_MOD_REP_MONTGOMERY.
*/
int mbedtls_mpi_mod_write( const mbedtls_mpi_mod_residue *r,
const mbedtls_mpi_mod_modulus *m,
unsigned char *buf,
size_t buflen,
mbedtls_mpi_mod_ext_rep ext_rep );
/* END MERGE SLOT 7 */
/* BEGIN MERGE SLOT 8 */

10
library/bignum_mod_raw.c
View file

@ -52,11 +52,12 @@ void mbedtls_mpi_mod_raw_cond_swap( mbedtls_mpi_uint *X,
int mbedtls_mpi_mod_raw_read( mbedtls_mpi_uint *X,
const mbedtls_mpi_mod_modulus *m,
const unsigned char *input,
size_t input_length )
size_t input_length,
mbedtls_mpi_mod_ext_rep ext_rep )
{
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
switch( m->ext_rep )
switch( ext_rep )
{
case MBEDTLS_MPI_MOD_EXT_REP_LE:
ret = mbedtls_mpi_core_read_le( X, m->limbs,
@ -87,9 +88,10 @@ cleanup:
int mbedtls_mpi_mod_raw_write( const mbedtls_mpi_uint *A,
const mbedtls_mpi_mod_modulus *m,
unsigned char *output,
size_t output_length )
size_t output_length,
mbedtls_mpi_mod_ext_rep ext_rep )
{
switch( m->ext_rep )
switch( ext_rep )
{
case MBEDTLS_MPI_MOD_EXT_REP_LE:
return( mbedtls_mpi_core_write_le( A, m->limbs,

8
library/bignum_mod_raw.h
View file

@ -106,6 +106,7 @@ void mbedtls_mpi_mod_raw_cond_swap( mbedtls_mpi_uint *X,
* \param[in] m The address of the modulus related to \p X.
* \param[in] input The input buffer to import from.
* \param input_length The length in bytes of \p input.
* \param ext_rep The endianness of the number in the input buffer.
*
* \return \c 0 if successful.
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p X isn't
@ -116,7 +117,8 @@ void mbedtls_mpi_mod_raw_cond_swap( mbedtls_mpi_uint *X,
int mbedtls_mpi_mod_raw_read( mbedtls_mpi_uint *X,
const mbedtls_mpi_mod_modulus *m,
const unsigned char *input,
size_t input_length );
size_t input_length,
mbedtls_mpi_mod_ext_rep ext_rep );
/** Export A into unsigned binary data.
*
@ -126,6 +128,7 @@ int mbedtls_mpi_mod_raw_read( mbedtls_mpi_uint *X,
* \param[in] m The address of the modulus related to \p A.
* \param[out] output The output buffer to export to.
* \param output_length The length in bytes of \p output.
* \param ext_rep The endianness in which the number should be written into the output buffer.
*
* \return \c 0 if successful.
* \return #MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if \p output isn't
@ -136,7 +139,8 @@ int mbedtls_mpi_mod_raw_read( mbedtls_mpi_uint *X,
int mbedtls_mpi_mod_raw_write( const mbedtls_mpi_uint *A,
const mbedtls_mpi_mod_modulus *m,
unsigned char *output,
size_t output_length );
size_t output_length,
mbedtls_mpi_mod_ext_rep ext_rep );
/* BEGIN MERGE SLOT 1 */

296
tests/suites/test_suite_bignum_mod.data
View file

@ -1,29 +1,11 @@
Test mbedtls_mpi_mod_setup #1 (Both representations invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #1 (Internal representation invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #2 (Internal representation invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #6 (Optimised reduction)
mpi_mod_setup:MBEDTLS_MPI_MOD_REP_OPT_RED:0
Test mbedtls_mpi_mod_setup #3 (Internal representation invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #4 (External representation invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_MONTGOMERY:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #5 (External representation invalid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_OPT_RED:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_setup #6 (Both representations valid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_OPT_RED:0
Test mbedtls_mpi_mod_setup #7 (Both representations valid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
Test mbedtls_mpi_mod_setup #8 (Both representations valid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_OPT_RED:0
Test mbedtls_mpi_mod_setup #9 (Both representations valid)
mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
Test mbedtls_mpi_mod_setup #7 (Montgomery representation)
mpi_mod_setup:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
# BEGIN MERGE SLOT 1
@ -50,17 +32,269 @@ mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
# END MERGE SLOT 6
# BEGIN MERGE SLOT 7
Test mbedtls_mpi_residue_setup #1 m > r
mpi_residue_setup:"fe":"01":0
# END MERGE SLOT 7
Test mbedtls_mpi_residue_setup #2 r == m - 1
mpi_residue_setup:"ff":"fe":0
# BEGIN MERGE SLOT 8
Test mbedtls_mpi_residue_setup #3 m->limbs = r-> limbs && m > r
mpi_residue_setup:"7dfe5c6":"fe":0
# END MERGE SLOT 8
Test mbedtls_mpi_residue_setup #4 m->limbs = r-> limbs && m > r
mpi_residue_setup:"7ffffffffffffffffffffffffffffffffffffffffffffff1":"0000000000000000000000000000000000000000000000fe":0
# BEGIN MERGE SLOT 9
Test mbedtls_mpi_residue_setup #5 m->limbs > r-> limbs && m > r
mpi_residue_setup:"7ffffffff00000000":"fe":MBEDTLS_ERR_MPI_BAD_INPUT_DATA
# END MERGE SLOT 9
Test mbedtls_mpi_residue_setup #6 m->limbs < r-> limbs && m > r
mpi_residue_setup:"ff":"000000000000000000000000000000000000000000000001":MBEDTLS_ERR_MPI_BAD_INPUT_DATA
# BEGIN MERGE SLOT 10
Test mbedtls_mpi_residue_setup #7 r == m
mpi_residue_setup:"fe":"fe":-4
# END MERGE SLOT 10
Test mbedtls_mpi_residue_setup #8 r > m
mpi_residue_setup:"fe":"ff":-4
Test mbedtls_mpi_mod_io_neg #1 input_r < modulo m
mpi_mod_io_neg:"fe":"fd":0
Test mbedtls_mpi_mod_io_neg #2 input_r == modulo m
mpi_mod_io_neg:"fe":"fe":MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_io_neg #3 input_r > modulo m
mpi_mod_io_neg:"fe":"ff":MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Test mbedtls_mpi_mod_io_neg #4 input_r too large to fit
mpi_mod_io_neg:"fe":"ffffffffffffffffff":MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL
Test mbedtls_mpi_mod_io_neg #5 Sucesfull read / output buffer too small
mpi_mod_io_neg:"7ffffffffffffffffffffffffffffff1":"ffff":0
Test mbedtls_mpi_mod_io #1 N: "11" A: "119".
mpi_mod_io:"000000000000000b":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #2 N: "11" A: "136".
mpi_mod_io:"000000000000000b":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #3 N: "11" A: "119".
mpi_mod_io:"000000000000000b":"0000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #4 N: "11" A: "136".
mpi_mod_io:"000000000000000b":"0100000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #5 N: "140737488355333" A: "119".
mpi_mod_io:"0000800000000005":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #6 N: "140737488355333" A: "136".
mpi_mod_io:"0000800000000005":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #7 N: "140737488355333" A: "119".
mpi_mod_io:"0000800000000005":"0000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #8 N: "140737488355333" A: "136".
mpi_mod_io:"0000800000000005":"0100000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #9 N: "140737488355333" A: "119".
mpi_mod_io:"0000800000000005":"00000000000003ca":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #10 N: "140737488355333" A: "136".
mpi_mod_io:"0000800000000005":"ca03000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #11 N: "140737488355333" A: "119".
mpi_mod_io:"0000800000000005":"00000000539ed428":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #12 N: "140737488355333" A: "136".
mpi_mod_io:"0000800000000005":"28d49e5300000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #13 N: "9223372036854775807" A: "119".
mpi_mod_io:"7fffffffffffffff":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #14 N: "9223372036854775807" A: "136".
mpi_mod_io:"7fffffffffffffff":"0000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #15 N: "9223372036854775807" A: "119".
mpi_mod_io:"7fffffffffffffff":"0000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #16 N: "9223372036854775807" A: "136".
mpi_mod_io:"7fffffffffffffff":"0100000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #17 N: "9223372036854775807" A: "119".
mpi_mod_io:"7fffffffffffffff":"00000000000003ca":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #18 N: "9223372036854775807" A: "136".
mpi_mod_io:"7fffffffffffffff":"ca03000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #19 N: "9223372036854775807" A: "119".
mpi_mod_io:"7fffffffffffffff":"00000000539ed428":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #20 N: "9223372036854775807" A: "136".
mpi_mod_io:"7fffffffffffffff":"28d49e5300000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #21 N: "9223372036854775807" A: "119".
mpi_mod_io:"7fffffffffffffff":"7dfe5c6beb35a2d6":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #22 N: "9223372036854775807" A: "136".
mpi_mod_io:"7fffffffffffffff":"d6a235eb6b5cfe7d":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #23 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #24 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #25 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #26 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #27 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003ca":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #28 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"ca030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #29 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000539ed428":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #30 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"28d49e53000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #31 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007dfe5c6beb35a2d6":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #32 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"d6a235eb6b5cfe7d0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #33 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000dca8de1c2adfc6d7aafb9b48e":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #34 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"8eb4b9af7a6dfcadc2e18dca0d000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #35 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000a7d17b6c4be72f3d5c16bf9c1af6fc933":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #36 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"33c96fafc1f96bc1d5f372bec4b6177d0a0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #37 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002fec97beec546f9553142ed52f147845463f579":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #38 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"79f563548447f152ed423155f946c5ee7bc9fe020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #39 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "119".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"00000000000000000000000000000000000000000000000000000000000000000000000000000000378dc83b8bc5a7b62cba495af4919578dce6d4f175cadc4f":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #40 N: "6610145858169835373800827072568987987787972943497619105736762797475099959212160692262984293277166612477845864397201463825139894315919781838969391314120587" A: "136".
mpi_mod_io:"7e35b84cb19ea5bc57ec37f5e431462fa962d98c1e63738d4657f18ad6532e6adc3eafe67f1e5fa262af94cee8d3e7268593942a2a98df75154f8c914a282f8b":"4fdcca75f1d4e6dc789591f45a49ba2cb6a7c58b3bc88d3700000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #41 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #42 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #43 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"000000000000000000000000000000000000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #44 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"010000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #45 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"0000000000000000000000000000000000000000000003ca":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #46 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"ca0300000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #47 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"0000000000000000000000000000000000000000539ed428":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #48 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"28d49e530000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #49 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"000000000000000000000000000000007dfe5c6beb35a2d6":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #50 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"d6a235eb6b5cfe7d00000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #51 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"00000000000000000000000dca8de1c2adfc6d7aafb9b48e":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #52 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"8eb4b9af7a6dfcadc2e18dca0d0000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #53 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"000000000000000a7d17b6c4be72f3d5c16bf9c1af6fc933":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #54 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"33c96fafc1f96bc1d5f372bec4b6177d0a00000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #55 N: "201076468338594879614802819276237850336264827391977454179" A: "119".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"0000000002fec97beec546f9553142ed52f147845463f579":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #56 N: "201076468338594879614802819276237850336264827391977454179" A: "136".
mpi_mod_io:"08335616aed761f1f7f44e6bd49e807b82e3bf2bf11bfa63":"79f563548447f152ed423155f946c5ee7bc9fe0200000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #57 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #58 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #59 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #60 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #61 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003ca":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #62 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"ca030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #63 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000539ed428":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #64 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"28d49e53000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #65 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007dfe5c6beb35a2d6":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #66 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"ffcece570f2f991013f26dd5b03c4c5b65f97be5905f36cb4664f2c78ff80aa8135a4aaf57ccb8a0aca2f394909a74cef1ef6758a64d11e2c149c393659d124bfc94196f0ce88f7d7d567efa5a649e2deefaa6e10fdc3deac60d606bf63fc540ac95294347031aefd73d6a9ee10188aaeb7a90d920894553cb196881691cadc51808715a07e8b24fcb1a63df047c7cdf084dd177ba368c806f3d51ddb5d3898c863e687ecaf7d649a57a46264a582f94d3c8f2edaf59f77a7f6bdaf83c991e8f06abe220ec8507386fce8c3da84c6c3903ab8f3ad4630a204196a7dbcbd9bcca4e40ec5cc5c09938d49f5e1e6181db8896f33bb12e6ef73f12ec5c5ea7a8a337":"d6a235eb6b5cfe7d0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #67 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000dca8de1c2adfc6d7aafb9b48e":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #68 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"8eb4b9af7a6dfcadc2e18dca0d000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #69 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000a7d17b6c4be72f3d5c16bf9c1af6fc933":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #70 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"33c96fafc1f96bc1d5f372bec4b6177d0a0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #71 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002fec97beec546f9553142ed52f147845463f579":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #72 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"79f563548447f152ed423155f946c5ee7bc9fe020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #73 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000378dc83b8bc5a7b62cba495af4919578dce6d4f175cadc4f":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #74 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"4fdcca75f1d4e6dc789591f45a49ba2cb6a7c58b3bc88d3700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_MPI_MOD_EXT_REP_LE
Test mbedtls_mpi_mod_io #75 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "119".
mpi_mod_io:"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":"b6415f2a1a8e48a518345db11f56db3829c8f2c6415ab4a395ab3ac2ea4cbef4af86eb18a84eb6ded4c6ecbfc4b59c2879a675487f687adea9d197a84a5242a5cf6125ce19a6ad2e7341f1c57d43ea4f4c852a51cb63dabcd1c9de2b827a3146a3d175b35bea41ae75d2a286a3e9d43623152ac513dcdea1d72a7da846a8ab358d9be4926c79cfb287cf1cf25b689de3b912176be5dcaf4d4c6e7cb839a4a3243a6c47c1e2c99d65c59d6fa3672575c2f1ca8de6a32e854ec9d8ec635c96af7679fce26d7d159e4a9da3bd74e1272c376cd926d74fe3fb164a5935cff3d5cdb92b35fe2cea32138a7e6bfbc319ebd1725dacb9a359cbf693f2ecb785efb9d627":MBEDTLS_MPI_MOD_EXT_REP_BE
Test mbedtls_mpi_mod_io #76 N: "32292747613635961694771916499883650667878589411552643628627186850993060141490368296439843252993342320145797691611646027435006878234727648863911408777308953382400333083852585109256846643097239747078406546553406955958288616728627292699264194880486908744773379992784153004816057528456043920098334713005039494478693892693017304730883448003944721685094014669042959451482141781404822386404101555113742346277194830729517252154824958327000717338180410404929239489607893939166712107274943411892079802406181464789204374234653633818543559183821503846194953493439237710780169796543565449952151334229364816621060143650318299210551" A: "136".
mpi_mod_io:"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":"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":MBEDTLS_MPI_MOD_EXT_REP_LE

211
tests/suites/test_suite_bignum_mod.function
View file

@ -12,7 +12,7 @@
*/
/* BEGIN_CASE */
void mpi_mod_setup( int ext_rep, int int_rep, int iret )
void mpi_mod_setup( int int_rep, int iret )
{
#define MLIMBS 8
mbedtls_mpi_uint mp[MLIMBS];
@ -22,7 +22,7 @@ void mpi_mod_setup( int ext_rep, int int_rep, int iret )
memset( mp, 0xFF, sizeof(mp) );
mbedtls_mpi_mod_modulus_init( &m );
ret = mbedtls_mpi_mod_modulus_setup( &m, mp, MLIMBS, ext_rep, int_rep );
ret = mbedtls_mpi_mod_modulus_setup( &m, mp, MLIMBS, int_rep );
TEST_EQUAL( ret, iret );
/* Only test if the constants have been set-up */
@ -80,7 +80,214 @@ exit:
/* END MERGE SLOT 6 */
/* BEGIN MERGE SLOT 7 */
/* BEGIN_CASE */
void mpi_residue_setup( char * input_N, char * input_R, int ret )
{
mbedtls_mpi_uint *N = NULL;
mbedtls_mpi_uint *R = NULL;
size_t n_limbs, r_limbs;
mbedtls_mpi_mod_modulus m;
mbedtls_mpi_mod_residue r;
mbedtls_mpi_mod_modulus_init( &m );
/* Allocate the memory for intermediate data structures */
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &R, &r_limbs, input_R ) );
TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
TEST_EQUAL( ret, mbedtls_mpi_mod_residue_setup( &r, &m, R , r_limbs ) );
if ( ret == 0 )
{
TEST_EQUAL( r.limbs, r_limbs );
TEST_ASSERT( r.p == R );
}
exit:
mbedtls_mpi_mod_modulus_free( &m );
mbedtls_free( N );
mbedtls_free( R );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_io_neg( char * input_N, data_t * buf, int ret )
{
mbedtls_mpi_uint *N = NULL;
mbedtls_mpi_uint *R = NULL;
mbedtls_mpi_mod_modulus m;
mbedtls_mpi_mod_residue r = { NULL, 0 };
mbedtls_mpi_mod_ext_rep endian = MBEDTLS_MPI_MOD_EXT_REP_LE;
mbedtls_mpi_mod_modulus_init( &m );
size_t n_limbs;
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
size_t r_limbs = n_limbs;
ASSERT_ALLOC( R, r_limbs );
/* modulus->p == NULL || residue->p == NULL ( m has not been set-up ) */
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
/* Set up modulus and test with residue->p == NULL */
TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
/* Do the rest of the tests with a residue set up with the input data */
TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r, &m, R , r_limbs ) );
/* Fail for r_limbs < m->limbs */
r.limbs--;
TEST_ASSERT( r.limbs < m.limbs );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
r.limbs++;
/* Fail for r_limbs > m->limbs */
m.limbs--;
TEST_ASSERT( r.limbs > m.limbs );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
m.limbs++;
/* Test the read */
TEST_EQUAL( ret, mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
/* Test write overflow only when the representation is large and read is successful */
if ( r.limbs > 1 && ret == 0 )
TEST_EQUAL( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL,
mbedtls_mpi_mod_write( &r, &m, buf->x, 1, endian ) );
exit:
mbedtls_mpi_mod_residue_release( &r );
mbedtls_mpi_mod_modulus_free( &m );
mbedtls_free( N );
mbedtls_free( R );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_io( char * input_N, data_t * input_A, int endian )
{
mbedtls_mpi_uint *N = NULL;
mbedtls_mpi_uint *R = NULL;
mbedtls_mpi_uint *R_COPY = NULL;
unsigned char *obuf = NULL;
unsigned char *ref_buf = NULL;
mbedtls_mpi_mod_modulus m;
mbedtls_mpi_mod_residue r;
mbedtls_mpi_mod_residue r_copy;
size_t n_limbs, n_bytes, a_bytes;
mbedtls_mpi_mod_modulus_init( &m );
/* Read inputs */
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
n_bytes = n_limbs * sizeof( mbedtls_mpi_uint );
a_bytes = input_A->len;
/* Allocate the memory for intermediate data structures */
ASSERT_ALLOC( R, n_bytes );
ASSERT_ALLOC( R_COPY, n_bytes );
/* Test that input's size is not greater to modulo's */
TEST_LE_U( a_bytes, n_bytes );
/* Init Structures */
TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
/* Enforcing p_limbs >= m->limbs */
TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r, &m, R, n_limbs ) );
TEST_EQUAL( 0, mbedtls_mpi_mod_read( &r, &m, input_A->x, input_A->len,
endian ) );
/* Read a copy for checking that writing didn't change the value of r */
TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r_copy, &m,
R_COPY, n_limbs ) );
TEST_EQUAL( 0, mbedtls_mpi_mod_read( &r_copy, &m, input_A->x, input_A->len,
endian ) );
/* Get number of bytes without leading zeroes */
size_t a_bytes_trimmed = a_bytes;
while( a_bytes_trimmed > 0 )
{
unsigned char* r_byte_array = (unsigned char*) r.p;
if( r_byte_array[--a_bytes_trimmed] != 0 )
break;
}
a_bytes_trimmed++;
/* Test write with three output buffer sizes: tight, same as input and
* longer than the input */
size_t obuf_sizes[3];
const size_t obuf_sizes_len = sizeof( obuf_sizes ) / sizeof( obuf_sizes[0] );
obuf_sizes[0] = a_bytes_trimmed;
obuf_sizes[1] = a_bytes;
obuf_sizes[2] = a_bytes + 8;
for( size_t i = 0; i < obuf_sizes_len; i++ )
{
ASSERT_ALLOC( obuf, obuf_sizes[i] );
TEST_EQUAL( 0, mbedtls_mpi_mod_write( &r, &m, obuf, obuf_sizes[i], endian ) );
/* Make sure that writing didn't corrupt the value of r */
ASSERT_COMPARE( r.p, r.limbs, r_copy.p, r_copy.limbs );
/* Set up reference output for checking the result */
ASSERT_ALLOC( ref_buf, obuf_sizes[i] );
switch( endian )
{
case MBEDTLS_MPI_MOD_EXT_REP_LE:
memcpy( ref_buf, input_A->x, a_bytes_trimmed );
break;
case MBEDTLS_MPI_MOD_EXT_REP_BE:
{
size_t a_offset = input_A->len - a_bytes_trimmed;
size_t ref_offset = obuf_sizes[i] - a_bytes_trimmed;
memcpy( ref_buf + ref_offset, input_A->x + a_offset,
a_bytes_trimmed );
}
break;
default:
TEST_ASSERT( 0 );
}
/* Check the result */
ASSERT_COMPARE( obuf, obuf_sizes[i], ref_buf, obuf_sizes[i] );
mbedtls_free( ref_buf );
ref_buf = NULL;
mbedtls_free( obuf );
obuf = NULL;
}
exit:
mbedtls_mpi_mod_modulus_free( &m );
mbedtls_free( N );
mbedtls_free( R );
mbedtls_free( R_COPY );
mbedtls_free( obuf );
}
/* END_CASE */
/* END MERGE SLOT 7 */
/* BEGIN MERGE SLOT 8 */

18
tests/suites/test_suite_bignum_mod_raw.function
View file

@ -49,22 +49,22 @@ void mpi_mod_raw_io( data_t *input, int nb_int, int nx_32_int,
mbedtls_mpi_uint init[sizeof( X ) / sizeof( X[0] )];
memset( init, 0xFF, sizeof( init ) );
int ret = mbedtls_mpi_mod_modulus_setup( &m, init, nx, endian,
int ret = mbedtls_mpi_mod_modulus_setup( &m, init, nx,
MBEDTLS_MPI_MOD_REP_MONTGOMERY );
TEST_EQUAL( ret, 0 );
if( iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && iret != 0 )
m.ext_rep = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
ret = mbedtls_mpi_mod_raw_read( X, &m, input->x, input->len );
ret = mbedtls_mpi_mod_raw_read( X, &m, input->x, input->len, endian );
TEST_EQUAL( ret, iret );
if( iret == 0 )
{
if( iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && oret != 0 )
m.ext_rep = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
ret = mbedtls_mpi_mod_raw_write( X, &m, buf, nb );
ret = mbedtls_mpi_mod_raw_write( X, &m, buf, nb, endian );
TEST_EQUAL( ret, oret );
}
@ -138,7 +138,6 @@ void mpi_mod_raw_cond_assign( char * input_X,
memset( buff_m, 0xFF, copy_limbs );
TEST_EQUAL( mbedtls_mpi_mod_modulus_setup(
&m, buff_m, copy_limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ), 0 );
/* condition is false */
@ -211,7 +210,6 @@ void mpi_mod_raw_cond_swap( char * input_X,
memset( buff_m, 0xFF, copy_limbs );
TEST_EQUAL( mbedtls_mpi_mod_modulus_setup(
&m, buff_m, copy_limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ), 0 );
ASSERT_ALLOC( X, limbs );
@ -310,7 +308,6 @@ void mpi_mod_raw_sub( char * input_A,
TEST_EQUAL( mbedtls_mpi_mod_modulus_setup(
&m, N, limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE,
MBEDTLS_MPI_MOD_REP_MONTGOMERY ), 0 );
mbedtls_mpi_mod_raw_sub( X, A, B, &m );
@ -392,7 +389,6 @@ void mpi_mod_raw_add( char * input_N,
TEST_EQUAL( mbedtls_mpi_mod_modulus_setup(
&m, N, limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE,
MBEDTLS_MPI_MOD_REP_MONTGOMERY
), 0 );
@ -480,7 +476,7 @@ void mpi_mod_raw_to_mont_rep( char * input_N, char * input_A, char * input_X )
TEST_LE_U(a_limbs, n_limbs);
TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE, MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
/* Convert from cannonical into Montgomery representation */
TEST_EQUAL(0, mbedtls_mpi_mod_raw_to_mont_rep( A, &m ) );
@ -516,7 +512,7 @@ void mpi_mod_raw_from_mont_rep( char * input_N, char * input_A, char * input_X )
TEST_LE_U(a_limbs, n_limbs);
TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
MBEDTLS_MPI_MOD_EXT_REP_BE, MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
/* Convert from Montgomery into cannonical representation */
TEST_EQUAL(0, mbedtls_mpi_mod_raw_from_mont_rep( A, &m ) );