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mbedtls/tests/suites/test_suite_mpi.function
Gilles Peskine b50e433b66 Test mbedtls_mpi_core_bitlen 
Copy the test data for mbedtls_mpi_bitlen except for 0-length and negative cases.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-10-10 23:03:47 +02:00

2184 lines
67 KiB
C
Raw Blame History

/* BEGIN_HEADER */
#include "mbedtls/bignum.h"
#include "mbedtls/entropy.h"
#include "bignum_core.h"
#include "bignum_mod.h"
#include "bignum_mod_raw.h"
#include "constant_time_internal.h"
#include "test/constant_flow.h"
#if MBEDTLS_MPI_MAX_BITS > 792
#define MPI_MAX_BITS_LARGER_THAN_792
#endif
/* Check the validity of the sign bit in an MPI object. Reject representations
* that are not supported by the rest of the library and indicate a bug when
* constructing the value. */
static int sign_is_valid( const mbedtls_mpi *X )
{
if( X->s != 1 && X->s != -1 )
return( 0 ); // invalid sign bit, e.g. 0
if( mbedtls_mpi_bitlen( X ) == 0 && X->s != 1 )
return( 0 ); // negative zero
return( 1 );
}
typedef struct mbedtls_test_mpi_random
{
data_t *data;
size_t pos;
size_t chunk_len;
} mbedtls_test_mpi_random;
/*
* This function is called by the Miller-Rabin primality test each time it
* chooses a random witness. The witnesses (or non-witnesses as provided by the
* test) are stored in the data member of the state structure. Each number is in
* the format that mbedtls_mpi_read_string understands and is chunk_len long.
*/
int mbedtls_test_mpi_miller_rabin_determinizer( void* state,
unsigned char* buf,
size_t len )
{
mbedtls_test_mpi_random *random = (mbedtls_test_mpi_random*) state;
if( random == NULL || random->data->x == NULL || buf == NULL )
return( -1 );
if( random->pos + random->chunk_len > random->data->len
|| random->chunk_len > len )
{
return( -1 );
}
memset( buf, 0, len );
/* The witness is written to the end of the buffer, since the buffer is
* used as big endian, unsigned binary data in mbedtls_mpi_read_binary.
* Writing the witness to the start of the buffer would result in the
* buffer being 'witness 000...000', which would be treated as
* witness * 2^n for some n. */
memcpy( buf + len - random->chunk_len, &random->data->x[random->pos],
random->chunk_len );
random->pos += random->chunk_len;
return( 0 );
}
/* Random generator that is told how many bytes to return. */
static int f_rng_bytes_left( void *state, unsigned char *buf, size_t len )
{
size_t *bytes_left = state;
size_t i;
for( i = 0; i < len; i++ )
{
if( *bytes_left == 0 )
return( MBEDTLS_ERR_ENTROPY_SOURCE_FAILED );
buf[i] = *bytes_left & 0xff;
--( *bytes_left );
}
return( 0 );
}
/* Test whether bytes represents (in big-endian base 256) a number b that
* is significantly above a power of 2. That is, b must not have a long run
* of unset bits after the most significant bit.
*
* Let n be the bit-size of b, i.e. the integer such that 2^n <= b < 2^{n+1}.
* This function returns 1 if, when drawing a number between 0 and b,
* the probability that this number is at least 2^n is not negligible.
* This probability is (b - 2^n) / b and this function checks that this
* number is above some threshold A. The threshold value is heuristic and
* based on the needs of mpi_random_many().
*/
static int is_significantly_above_a_power_of_2( data_t *bytes )
{
const uint8_t *p = bytes->x;
size_t len = bytes->len;
unsigned x;
/* Skip leading null bytes */
while( len > 0 && p[0] == 0 )
{
++p;
--len;
}
/* 0 is not significantly above a power of 2 */
if( len == 0 )
return( 0 );
/* Extract the (up to) 2 most significant bytes */
if( len == 1 )
x = p[0];
else
x = ( p[0] << 8 ) | p[1];
/* Shift the most significant bit of x to position 8 and mask it out */
while( ( x & 0xfe00 ) != 0 )
x >>= 1;
x &= 0x00ff;
/* At this point, x = floor((b - 2^n) / 2^(n-8)). b is significantly above
* a power of 2 iff x is significantly above 0 compared to 2^8.
* Testing x >= 2^4 amounts to picking A = 1/16 in the function
* description above. */
return( x >= 0x10 );
}
/* END_HEADER */
/* BEGIN_DEPENDENCIES
* depends_on:MBEDTLS_BIGNUM_C
* END_DEPENDENCIES
*/
/* BEGIN_CASE */
void mpi_null( )
{
mbedtls_mpi X, Y, Z;
mbedtls_mpi_init( &X );
mbedtls_mpi_init( &Y );
mbedtls_mpi_init( &Z );
TEST_ASSERT( mbedtls_mpi_get_bit( &X, 42 ) == 0 );
TEST_ASSERT( mbedtls_mpi_lsb( &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_bitlen( &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_size( &X ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_read_write_string( int radix_X, char * input_X, int radix_A,
char * input_A, int output_size, int result_read,
int result_write )
{
mbedtls_mpi X;
char str[1000];
size_t len;
mbedtls_mpi_init( &X );
memset( str, '!', sizeof( str ) );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == result_read );
if( result_read == 0 )
{
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_write_string( &X, radix_A, str, output_size, &len ) == result_write );
if( result_write == 0 )
{
TEST_ASSERT( strcasecmp( str, input_A ) == 0 );
TEST_ASSERT( str[len] == '!' );
}
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_read_binary( data_t * buf, char * input_A )
{
mbedtls_mpi X;
char str[1000];
size_t len;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_binary( &X, buf->x, buf->len ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_write_string( &X, 16, str, sizeof( str ), &len ) == 0 );
TEST_ASSERT( strcmp( (char *) str, input_A ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_io_null()
{
mbedtls_mpi_uint X = 0;
int ret;
ret = mbedtls_mpi_core_read_be( &X, 1, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_write_be( &X, 1, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_read_be( NULL, 0, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_write_be( NULL, 0, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_read_le( &X, 1, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_write_le( &X, 1, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_read_le( NULL, 0, NULL, 0 );
TEST_EQUAL( ret, 0 );
ret = mbedtls_mpi_core_write_le( NULL, 0, NULL, 0 );
TEST_EQUAL( ret, 0 );
exit:
;
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_io_be( data_t *input, int nb_int, int nx_32_int, int iret,
int oret )
{
if( iret != 0 )
TEST_ASSERT( oret == 0 );
TEST_LE_S( 0, nb_int );
size_t nb = nb_int;
unsigned char buf[1024];
TEST_LE_U( nb, sizeof( buf ) );
/* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need
* to halve the number of limbs to have the same size. */
size_t nx;
TEST_LE_S( 0, nx_32_int );
if( sizeof( mbedtls_mpi_uint ) == 8 )
nx = nx_32_int / 2 + nx_32_int % 2;
else
nx = nx_32_int;
mbedtls_mpi_uint X[sizeof( buf ) / sizeof( mbedtls_mpi_uint )];
TEST_LE_U( nx, sizeof( X ) / sizeof( X[0] ) );
int ret = mbedtls_mpi_core_read_be( X, nx, input->x, input->len );
TEST_EQUAL( ret, iret );
if( iret == 0 )
{
ret = mbedtls_mpi_core_write_be( X, nx, buf, nb );
TEST_EQUAL( ret, oret );
}
if( ( iret == 0 ) && ( oret == 0 ) )
{
if( nb > input->len )
{
size_t leading_zeroes = nb - input->len;
TEST_ASSERT( memcmp( buf + nb - input->len, input->x, input->len ) == 0 );
for( size_t i = 0; i < leading_zeroes; i++ )
TEST_EQUAL( buf[i], 0 );
}
else
{
size_t leading_zeroes = input->len - nb;
TEST_ASSERT( memcmp( input->x + input->len - nb, buf, nb ) == 0 );
for( size_t i = 0; i < leading_zeroes; i++ )
TEST_EQUAL( input->x[i], 0 );
}
}
exit:
;
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_io_le( data_t *input, int nb_int, int nx_32_int, int iret,
int oret )
{
if( iret != 0 )
TEST_ASSERT( oret == 0 );
TEST_LE_S( 0, nb_int );
size_t nb = nb_int;
unsigned char buf[1024];
TEST_LE_U( nb, sizeof( buf ) );
/* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need
* to halve the number of limbs to have the same size. */
size_t nx;
TEST_LE_S( 0, nx_32_int );
if( sizeof( mbedtls_mpi_uint ) == 8 )
nx = nx_32_int / 2 + nx_32_int % 2;
else
nx = nx_32_int;
mbedtls_mpi_uint X[sizeof( buf ) / sizeof( mbedtls_mpi_uint )];
TEST_LE_U( nx, sizeof( X ) / sizeof( X[0] ) );
int ret = mbedtls_mpi_core_read_le( X, nx, input->x, input->len );
TEST_EQUAL( ret, iret );
if( iret == 0 )
{
ret = mbedtls_mpi_core_write_le( X, nx, buf, nb );
TEST_EQUAL( ret, oret );
}
if( ( iret == 0 ) && ( oret == 0 ) )
{
if( nb > input->len )
{
TEST_ASSERT( memcmp( buf, input->x, input->len ) == 0 );
for( size_t i = input->len; i < nb; i++ )
TEST_EQUAL( buf[i], 0 );
}
else
{
TEST_ASSERT( memcmp( input->x, buf, nb ) == 0 );
for( size_t i = nb; i < input->len; i++ )
TEST_EQUAL( input->x[i], 0 );
}
}
exit:
;
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_setup( int ext_rep, int int_rep, int iret )
{
#define MLIMBS 8
mbedtls_mpi_uint mp[MLIMBS];
mbedtls_mpi_mod_modulus m;
int ret;
memset( mp, 0xFF, sizeof(mp) );
mbedtls_mpi_mod_modulus_init( &m );
ret = mbedtls_mpi_mod_modulus_setup( &m, mp, MLIMBS, ext_rep, int_rep );
TEST_EQUAL( ret, iret );
/* Address sanitiser should catch if we try to free mp */
mbedtls_mpi_mod_modulus_free( &m );
/* Make sure that the modulus doesn't have reference to mp anymore */
TEST_ASSERT( m.p != mp );
exit:
/* It should be safe to call an mbedtls free several times */
mbedtls_mpi_mod_modulus_free( &m );
#undef MLIMBS
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_raw_io( data_t *input, int nb_int, int nx_32_int,
int iendian, int iret, int oret )
{
if( iret != 0 )
TEST_ASSERT( oret == 0 );
TEST_LE_S( 0, nb_int );
size_t nb = nb_int;
unsigned char buf[1024];
TEST_LE_U( nb, sizeof( buf ) );
/* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need
* to halve the number of limbs to have the same size. */
size_t nx;
TEST_LE_S( 0, nx_32_int );
if( sizeof( mbedtls_mpi_uint ) == 8 )
nx = nx_32_int / 2 + nx_32_int % 2;
else
nx = nx_32_int;
mbedtls_mpi_uint X[sizeof( buf ) / sizeof( mbedtls_mpi_uint )];
TEST_LE_U( nx, sizeof( X ) / sizeof( X[0] ) );
int endian;
if( iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID )
endian = MBEDTLS_MPI_MOD_EXT_REP_LE;
else
endian = iendian;
mbedtls_mpi_mod_modulus m;
mbedtls_mpi_mod_modulus_init( &m );
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,
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;
ret = mbedtls_mpi_mod_raw_read( X, &m, input->x, input->len );
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;
ret = mbedtls_mpi_mod_raw_write( X, &m, buf, nb );
TEST_EQUAL( ret, oret );
}
if( ( iret == 0 ) && ( oret == 0 ) )
{
if( nb > input->len )
{
if( endian == MBEDTLS_MPI_MOD_EXT_REP_BE )
{
size_t leading_zeroes = nb - input->len;
TEST_ASSERT( memcmp( buf + nb - input->len, input->x, input->len ) == 0 );
for( size_t i = 0; i < leading_zeroes; i++ )
TEST_EQUAL( buf[i], 0 );
}
else
{
TEST_ASSERT( memcmp( buf, input->x, input->len ) == 0 );
for( size_t i = input->len; i < nb; i++ )
TEST_EQUAL( buf[i], 0 );
}
}
else
{
if( endian == MBEDTLS_MPI_MOD_EXT_REP_BE )
{
size_t leading_zeroes = input->len - nb;
TEST_ASSERT( memcmp( input->x + input->len - nb, buf, nb ) == 0 );
for( size_t i = 0; i < leading_zeroes; i++ )
TEST_EQUAL( input->x[i], 0 );
}
else
{
TEST_ASSERT( memcmp( input->x, buf, nb ) == 0 );
for( size_t i = nb; i < input->len; i++ )
TEST_EQUAL( input->x[i], 0 );
}
}
}
exit:
mbedtls_mpi_mod_modulus_free( &m );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_read_binary_le( data_t * buf, char * input_A )
{
mbedtls_mpi X;
char str[1000];
size_t len;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_binary_le( &X, buf->x, buf->len ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_write_string( &X, 16, str, sizeof( str ), &len ) == 0 );
TEST_ASSERT( strcmp( (char *) str, input_A ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_write_binary( char * input_X, data_t * input_A,
int output_size, int result )
{
mbedtls_mpi X;
unsigned char buf[1000];
size_t buflen;
memset( buf, 0x00, 1000 );
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
buflen = mbedtls_mpi_size( &X );
if( buflen > (size_t) output_size )
buflen = (size_t) output_size;
TEST_ASSERT( mbedtls_mpi_write_binary( &X, buf, buflen ) == result );
if( result == 0)
{
TEST_ASSERT( mbedtls_test_hexcmp( buf, input_A->x,
buflen, input_A->len ) == 0 );
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_write_binary_le( char * input_X, data_t * input_A,
int output_size, int result )
{
mbedtls_mpi X;
unsigned char buf[1000];
size_t buflen;
memset( buf, 0x00, 1000 );
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
buflen = mbedtls_mpi_size( &X );
if( buflen > (size_t) output_size )
buflen = (size_t) output_size;
TEST_ASSERT( mbedtls_mpi_write_binary_le( &X, buf, buflen ) == result );
if( result == 0)
{
TEST_ASSERT( mbedtls_test_hexcmp( buf, input_A->x,
buflen, input_A->len ) == 0 );
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_FS_IO */
void mpi_read_file( char * input_file, data_t * input_A, int result )
{
mbedtls_mpi X;
unsigned char buf[1000];
size_t buflen;
FILE *file;
int ret;
memset( buf, 0x00, 1000 );
mbedtls_mpi_init( &X );
file = fopen( input_file, "r" );
TEST_ASSERT( file != NULL );
ret = mbedtls_mpi_read_file( &X, 16, file );
fclose(file);
TEST_ASSERT( ret == result );
if( result == 0 )
{
TEST_ASSERT( sign_is_valid( &X ) );
buflen = mbedtls_mpi_size( &X );
TEST_ASSERT( mbedtls_mpi_write_binary( &X, buf, buflen ) == 0 );
TEST_ASSERT( mbedtls_test_hexcmp( buf, input_A->x,
buflen, input_A->len ) == 0 );
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_FS_IO */
void mpi_write_file( char * input_X, char * output_file )
{
mbedtls_mpi X, Y;
FILE *file_out, *file_in;
int ret;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
file_out = fopen( output_file, "w" );
TEST_ASSERT( file_out != NULL );
ret = mbedtls_mpi_write_file( NULL, &X, 16, file_out );
fclose(file_out);
TEST_ASSERT( ret == 0 );
file_in = fopen( output_file, "r" );
TEST_ASSERT( file_in != NULL );
ret = mbedtls_mpi_read_file( &Y, 16, file_in );
fclose(file_in);
TEST_ASSERT( ret == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_get_bit( char * input_X, int pos, int val )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_get_bit( &X, pos ) == val );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_set_bit( char * input_X, int pos, int val,
char * output_Y, int result )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, output_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_set_bit( &X, pos, val ) == result );
if( result == 0 )
{
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_lsb( char * input_X, int nr_bits )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_lsb( &X ) == (size_t) nr_bits );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_bitlen( char *input_X, int nr_bits )
{
mbedtls_mpi_uint *X = NULL;
size_t limbs;
TEST_EQUAL( mbedtls_test_read_mpi_core( &X, &limbs, input_X ), 0 );
TEST_EQUAL( mbedtls_mpi_core_bitlen( X, limbs ), nr_bits );
exit:
mbedtls_free( X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_bitlen( char * input_X, int nr_bits )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_bitlen( &X ) == (size_t) nr_bits );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_gcd( char * input_X, char * input_Y,
char * input_A )
{
mbedtls_mpi A, X, Y, Z;
mbedtls_mpi_init( &A ); mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &Z, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
exit:
mbedtls_mpi_free( &A ); mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_cmp_int( int input_X, int input_A, int result_CMP )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_lset( &X, input_X ) == 0);
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, input_A ) == result_CMP);
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_cmp_mpi( char * input_X, char * input_Y,
int input_A )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y ) == input_A );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_lt_ct( char *input_X, char *input_Y, int exp_ret )
{
mbedtls_mpi_uint *X = NULL;
size_t X_limbs;
mbedtls_mpi_uint *Y = NULL;
size_t Y_limbs;
int ret;
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &X_limbs, input_X ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &Y, &Y_limbs, input_Y ) );
/* We need two same-length limb arrays */
TEST_EQUAL( X_limbs, Y_limbs );
TEST_CF_SECRET( X, X_limbs * sizeof( mbedtls_mpi_uint ) );
TEST_CF_SECRET( Y, X_limbs * sizeof( mbedtls_mpi_uint ) );
ret = mbedtls_mpi_core_lt_ct( X, Y, X_limbs );
TEST_EQUAL( ret, exp_ret );
exit:
mbedtls_free( X );
mbedtls_free( Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_lt_mpi_ct( int size_X, char * input_X,
int size_Y, char * input_Y,
int input_ret, int input_err )
{
unsigned ret = -1;
unsigned input_uret = input_ret;
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_grow( &X, size_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_grow( &Y, size_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_lt_mpi_ct( &X, &Y, &ret ) == input_err );
if( input_err == 0 )
TEST_ASSERT( ret == input_uret );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_cmp_abs( char * input_X, char * input_Y,
int input_A )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_abs( &X, &Y ) == input_A );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_copy( char *src_hex, char *dst_hex )
{
mbedtls_mpi src, dst, ref;
mbedtls_mpi_init( &src );
mbedtls_mpi_init( &dst );
mbedtls_mpi_init( &ref );
TEST_ASSERT( mbedtls_test_read_mpi( &src, src_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &ref, dst_hex ) == 0 );
/* mbedtls_mpi_copy() */
TEST_ASSERT( mbedtls_test_read_mpi( &dst, dst_hex ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &dst, &src ) == 0 );
TEST_ASSERT( sign_is_valid( &dst ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &dst, &src ) == 0 );
/* mbedtls_mpi_safe_cond_assign(), assignment done */
mbedtls_mpi_free( &dst );
TEST_ASSERT( mbedtls_test_read_mpi( &dst, dst_hex ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_assign( &dst, &src, 1 ) == 0 );
TEST_ASSERT( sign_is_valid( &dst ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &dst, &src ) == 0 );
/* mbedtls_mpi_safe_cond_assign(), assignment not done */
mbedtls_mpi_free( &dst );
TEST_ASSERT( mbedtls_test_read_mpi( &dst, dst_hex ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_assign( &dst, &src, 0 ) == 0 );
TEST_ASSERT( sign_is_valid( &dst ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &dst, &ref ) == 0 );
exit:
mbedtls_mpi_free( &src );
mbedtls_mpi_free( &dst );
mbedtls_mpi_free( &ref );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_copy_self( char *input_X )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &A );
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &X, &X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_X ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &A );
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_swap( char *X_hex, char *Y_hex )
{
mbedtls_mpi X, Y, X0, Y0;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
mbedtls_mpi_init( &X0 ); mbedtls_mpi_init( &Y0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X0, X_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y0, Y_hex ) == 0 );
/* mbedtls_mpi_swap() */
TEST_ASSERT( mbedtls_test_read_mpi( &X, X_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, Y_hex ) == 0 );
mbedtls_mpi_swap( &X, &Y );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &X0 ) == 0 );
/* mbedtls_mpi_safe_cond_swap(), swap done */
mbedtls_mpi_free( &X );
mbedtls_mpi_free( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, X_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, Y_hex ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_swap( &X, &Y, 1 ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &X0 ) == 0 );
/* mbedtls_mpi_safe_cond_swap(), swap not done */
mbedtls_mpi_free( &X );
mbedtls_mpi_free( &Y );
TEST_ASSERT( mbedtls_test_read_mpi( &X, X_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, Y_hex ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_swap( &X, &Y, 0 ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &X0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &Y0 ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
mbedtls_mpi_free( &X0 ); mbedtls_mpi_free( &Y0 );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_swap_self( char *X_hex )
{
mbedtls_mpi X, X0;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &X0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, X_hex ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X0, X_hex ) == 0 );
mbedtls_mpi_swap( &X, &X );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &X0 ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &X0 );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_shrink( int before, int used, int min, int after )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_grow( &X, before ) == 0 );
if( used > 0 )
{
size_t used_bit_count = used * 8 * sizeof( mbedtls_mpi_uint );
TEST_ASSERT( mbedtls_mpi_set_bit( &X, used_bit_count - 1, 1 ) == 0 );
}
TEST_EQUAL( X.n, (size_t) before );
TEST_ASSERT( mbedtls_mpi_shrink( &X, min ) == 0 );
TEST_EQUAL( X.n, (size_t) after );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_add_mpi( char * input_X, char * input_Y,
char * input_A )
{
mbedtls_mpi X, Y, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_mpi( &Z, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_add_mpi( &X, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_add_mpi( &Y, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_add_mpi_inplace( char * input_X, char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_abs( &X, &X, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, 0 ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_abs( &X, &X, &X ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_mpi( &X, &X, &X ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_add_abs( char * input_X, char * input_Y,
char * input_A )
{
mbedtls_mpi X, Y, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_abs( &Z, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_add_abs( &X, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_add_abs( &Y, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_add_int( char * input_X, int input_Y,
char * input_A )
{
mbedtls_mpi X, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_int( &Z, &X, input_Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_sub_mpi( char * input_X, char * input_Y,
char * input_A )
{
mbedtls_mpi X, Y, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_mpi( &Z, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_sub_mpi( &X, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_sub_mpi( &Y, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Y ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_sub_abs( char * input_X, char * input_Y,
char * input_A, int sub_result )
{
mbedtls_mpi X, Y, Z, A;
int res;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
res = mbedtls_mpi_sub_abs( &Z, &X, &Y );
TEST_ASSERT( res == sub_result );
TEST_ASSERT( sign_is_valid( &Z ) );
if( res == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_sub_abs( &X, &X, &Y ) == sub_result );
TEST_ASSERT( sign_is_valid( &X ) );
if( sub_result == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_sub_abs( &Y, &X, &Y ) == sub_result );
TEST_ASSERT( sign_is_valid( &Y ) );
if( sub_result == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_sub_int( char * input_X, int input_Y,
char * input_A )
{
mbedtls_mpi X, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Z, &X, input_Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mul_mpi( char * input_X, char * input_Y,
char * input_A )
{
mbedtls_mpi X, Y, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &Z, &X, &Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mul_int( char * input_X, int input_Y,
char * input_A, char * result_comparison )
{
mbedtls_mpi X, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_int( &Z, &X, input_Y ) == 0 );
TEST_ASSERT( sign_is_valid( &Z ) );
if( strcmp( result_comparison, "==" ) == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
else if( strcmp( result_comparison, "!=" ) == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) != 0 );
else
TEST_ASSERT( "unknown operator" == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_div_mpi( char * input_X, char * input_Y,
char * input_A, char * input_B,
int div_result )
{
mbedtls_mpi X, Y, Q, R, A, B;
int res;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &R );
mbedtls_mpi_init( &A ); mbedtls_mpi_init( &B );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &B, input_B ) == 0 );
res = mbedtls_mpi_div_mpi( &Q, &R, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Q ) );
TEST_ASSERT( sign_is_valid( &R ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Q, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R, &B ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &R );
mbedtls_mpi_free( &A ); mbedtls_mpi_free( &B );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_div_int( char * input_X, int input_Y,
char * input_A, char * input_B,
int div_result )
{
mbedtls_mpi X, Q, R, A, B;
int res;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &R ); mbedtls_mpi_init( &A );
mbedtls_mpi_init( &B );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &B, input_B ) == 0 );
res = mbedtls_mpi_div_int( &Q, &R, &X, input_Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Q ) );
TEST_ASSERT( sign_is_valid( &R ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Q, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R, &B ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &R ); mbedtls_mpi_free( &A );
mbedtls_mpi_free( &B );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_mpi( char * input_X, char * input_Y,
char * input_A, int div_result )
{
mbedtls_mpi X, Y, A;
int res;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
res = mbedtls_mpi_mod_mpi( &X, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_mod_int( char * input_X, int input_Y,
int input_A, int div_result )
{
mbedtls_mpi X;
int res;
mbedtls_mpi_uint r;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
res = mbedtls_mpi_mod_int( &r, &X, input_Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
TEST_ASSERT( r == (mbedtls_mpi_uint) input_A );
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_exp_mod( char * input_A, char * input_E,
char * input_N, char * input_X,
int exp_result )
{
mbedtls_mpi A, E, N, RR, Z, X;
int res;
mbedtls_mpi_init( &A ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &N );
mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &E, input_E ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &N, input_N ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
res = mbedtls_mpi_exp_mod( &Z, &A, &E, &N, NULL );
TEST_ASSERT( res == exp_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &X ) == 0 );
}
/* Now test again with the speed-up parameter supplied as an output. */
res = mbedtls_mpi_exp_mod( &Z, &A, &E, &N, &RR );
TEST_ASSERT( res == exp_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &X ) == 0 );
}
/* Now test again with the speed-up parameter supplied in calculated form. */
res = mbedtls_mpi_exp_mod( &Z, &A, &E, &N, &RR );
TEST_ASSERT( res == exp_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &X ) == 0 );
}
exit:
mbedtls_mpi_free( &A ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &N );
mbedtls_mpi_free( &RR ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_exp_mod_size( int A_bytes, int E_bytes, int N_bytes,
char * input_RR, int exp_result )
{
mbedtls_mpi A, E, N, RR, Z;
mbedtls_mpi_init( &A ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &N );
mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &Z );
/* Set A to 2^(A_bytes - 1) + 1 */
TEST_ASSERT( mbedtls_mpi_lset( &A, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_l( &A, ( A_bytes * 8 ) - 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_set_bit( &A, 0, 1 ) == 0 );
/* Set E to 2^(E_bytes - 1) + 1 */
TEST_ASSERT( mbedtls_mpi_lset( &E, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_l( &E, ( E_bytes * 8 ) - 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_set_bit( &E, 0, 1 ) == 0 );
/* Set N to 2^(N_bytes - 1) + 1 */
TEST_ASSERT( mbedtls_mpi_lset( &N, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_l( &N, ( N_bytes * 8 ) - 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_set_bit( &N, 0, 1 ) == 0 );
if( strlen( input_RR ) )
TEST_ASSERT( mbedtls_test_read_mpi( &RR, input_RR ) == 0 );
TEST_ASSERT( mbedtls_mpi_exp_mod( &Z, &A, &E, &N, &RR ) == exp_result );
exit:
mbedtls_mpi_free( &A ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &N );
mbedtls_mpi_free( &RR ); mbedtls_mpi_free( &Z );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_inv_mod( char * input_X, char * input_Y,
char * input_A, int div_result )
{
mbedtls_mpi X, Y, Z, A;
int res;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
res = mbedtls_mpi_inv_mod( &Z, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
TEST_ASSERT( sign_is_valid( &Z ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_GENPRIME */
void mpi_is_prime( char * input_X, int div_result )
{
mbedtls_mpi X;
int res;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
res = mbedtls_mpi_is_prime_ext( &X, 40, mbedtls_test_rnd_std_rand, NULL );
TEST_ASSERT( res == div_result );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_GENPRIME */
void mpi_is_prime_det( data_t * input_X, data_t * witnesses,
int chunk_len, int rounds )
{
mbedtls_mpi X;
int res;
mbedtls_test_mpi_random rand;
mbedtls_mpi_init( &X );
rand.data = witnesses;
rand.pos = 0;
rand.chunk_len = chunk_len;
TEST_ASSERT( mbedtls_mpi_read_binary( &X, input_X->x, input_X->len ) == 0 );
res = mbedtls_mpi_is_prime_ext( &X, rounds - 1,
mbedtls_test_mpi_miller_rabin_determinizer,
&rand );
TEST_ASSERT( res == 0 );
rand.data = witnesses;
rand.pos = 0;
rand.chunk_len = chunk_len;
res = mbedtls_mpi_is_prime_ext( &X, rounds,
mbedtls_test_mpi_miller_rabin_determinizer,
&rand );
TEST_ASSERT( res == MBEDTLS_ERR_MPI_NOT_ACCEPTABLE );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_GENPRIME */
void mpi_gen_prime( int bits, int flags, int ref_ret )
{
mbedtls_mpi X;
int my_ret;
mbedtls_mpi_init( &X );
my_ret = mbedtls_mpi_gen_prime( &X, bits, flags,
mbedtls_test_rnd_std_rand, NULL );
TEST_ASSERT( my_ret == ref_ret );
if( ref_ret == 0 )
{
size_t actual_bits = mbedtls_mpi_bitlen( &X );
TEST_ASSERT( actual_bits >= (size_t) bits );
TEST_ASSERT( actual_bits <= (size_t) bits + 1 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_is_prime_ext( &X, 40,
mbedtls_test_rnd_std_rand,
NULL ) == 0 );
if( flags & MBEDTLS_MPI_GEN_PRIME_FLAG_DH )
{
/* X = ( X - 1 ) / 2 */
TEST_ASSERT( mbedtls_mpi_shift_r( &X, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_is_prime_ext( &X, 40,
mbedtls_test_rnd_std_rand,
NULL ) == 0 );
}
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_shift_l( char * input_X, int shift_X,
char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_l( &X, shift_X ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_shift_r( char * input_X, int shift_X,
char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_test_read_mpi( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_test_read_mpi( &A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_r( &X, shift_X ) == 0 );
TEST_ASSERT( sign_is_valid( &X ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_fill_random( int wanted_bytes, int rng_bytes,
int before, int expected_ret )
{
mbedtls_mpi X;
int ret;
size_t bytes_left = rng_bytes;
mbedtls_mpi_init( &X );
if( before != 0 )
{
/* Set X to sign(before) * 2^(|before|-1) */
TEST_ASSERT( mbedtls_mpi_lset( &X, before > 0 ? 1 : -1 ) == 0 );
if( before < 0 )
before = - before;
TEST_ASSERT( mbedtls_mpi_shift_l( &X, before - 1 ) == 0 );
}
ret = mbedtls_mpi_fill_random( &X, wanted_bytes,
f_rng_bytes_left, &bytes_left );
TEST_ASSERT( ret == expected_ret );
if( expected_ret == 0 )
{
/* mbedtls_mpi_fill_random is documented to use bytes from the RNG
* as a big-endian representation of the number. We know when
* our RNG function returns null bytes, so we know how many
* leading zero bytes the number has. */
size_t leading_zeros = 0;
if( wanted_bytes > 0 && rng_bytes % 256 == 0 )
leading_zeros = 1;
TEST_ASSERT( mbedtls_mpi_size( &X ) + leading_zeros ==
(size_t) wanted_bytes );
TEST_ASSERT( (int) bytes_left == rng_bytes - wanted_bytes );
TEST_ASSERT( sign_is_valid( &X ) );
}
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_random_many( int min, data_t *bound_bytes, int iterations )
{
/* Generate numbers in the range 1..bound-1. Do it iterations times.
* This function assumes that the value of bound is at least 2 and
* that iterations is large enough that a one-in-2^iterations chance
* effectively never occurs.
*/
mbedtls_mpi upper_bound;
size_t n_bits;
mbedtls_mpi result;
size_t b;
/* If upper_bound is small, stats[b] is the number of times the value b
* has been generated. Otherwise stats[b] is the number of times a
* value with bit b set has been generated. */
size_t *stats = NULL;
size_t stats_len;
int full_stats;
size_t i;
mbedtls_mpi_init( &upper_bound );
mbedtls_mpi_init( &result );
TEST_EQUAL( 0, mbedtls_mpi_read_binary( &upper_bound,
bound_bytes->x, bound_bytes->len ) );
n_bits = mbedtls_mpi_bitlen( &upper_bound );
/* Consider a bound "small" if it's less than 2^5. This value is chosen
* to be small enough that the probability of missing one value is
* negligible given the number of iterations. It must be less than
* 256 because some of the code below assumes that "small" values
* fit in a byte. */
if( n_bits <= 5 )
{
full_stats = 1;
stats_len = bound_bytes->x[bound_bytes->len - 1];
}
else
{
full_stats = 0;
stats_len = n_bits;
}
ASSERT_ALLOC( stats, stats_len );
for( i = 0; i < (size_t) iterations; i++ )
{
mbedtls_test_set_step( i );
TEST_EQUAL( 0, mbedtls_mpi_random( &result, min, &upper_bound,
mbedtls_test_rnd_std_rand, NULL ) );
TEST_ASSERT( sign_is_valid( &result ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &result, &upper_bound ) < 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &result, min ) >= 0 );
if( full_stats )
{
uint8_t value;
TEST_EQUAL( 0, mbedtls_mpi_write_binary( &result, &value, 1 ) );
TEST_ASSERT( value < stats_len );
++stats[value];
}
else
{
for( b = 0; b < n_bits; b++ )
stats[b] += mbedtls_mpi_get_bit( &result, b );
}
}
if( full_stats )
{
for( b = min; b < stats_len; b++ )
{
mbedtls_test_set_step( 1000000 + b );
/* Assert that each value has been reached at least once.
* This is almost guaranteed if the iteration count is large
* enough. This is a very crude way of checking the distribution.
*/
TEST_ASSERT( stats[b] > 0 );
}
}
else
{
int statistically_safe_all_the_way =
is_significantly_above_a_power_of_2( bound_bytes );
for( b = 0; b < n_bits; b++ )
{
mbedtls_test_set_step( 1000000 + b );
/* Assert that each bit has been set in at least one result and
* clear in at least one result. Provided that iterations is not
* too small, it would be extremely unlikely for this not to be
* the case if the results are uniformly distributed.
*
* As an exception, the top bit may legitimately never be set
* if bound is a power of 2 or only slightly above.
*/
if( statistically_safe_all_the_way || b != n_bits - 1 )
{
TEST_ASSERT( stats[b] > 0 );
}
TEST_ASSERT( stats[b] < (size_t) iterations );
}
}
exit:
mbedtls_mpi_free( &upper_bound );
mbedtls_mpi_free( &result );
mbedtls_free( stats );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_random_sizes( int min, data_t *bound_bytes, int nlimbs, int before )
{
mbedtls_mpi upper_bound;
mbedtls_mpi result;
mbedtls_mpi_init( &upper_bound );
mbedtls_mpi_init( &result );
if( before != 0 )
{
/* Set result to sign(before) * 2^(|before|-1) */
TEST_ASSERT( mbedtls_mpi_lset( &result, before > 0 ? 1 : -1 ) == 0 );
if( before < 0 )
before = - before;
TEST_ASSERT( mbedtls_mpi_shift_l( &result, before - 1 ) == 0 );
}
TEST_EQUAL( 0, mbedtls_mpi_grow( &result, nlimbs ) );
TEST_EQUAL( 0, mbedtls_mpi_read_binary( &upper_bound,
bound_bytes->x, bound_bytes->len ) );
TEST_EQUAL( 0, mbedtls_mpi_random( &result, min, &upper_bound,
mbedtls_test_rnd_std_rand, NULL ) );
TEST_ASSERT( sign_is_valid( &result ) );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &result, &upper_bound ) < 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &result, min ) >= 0 );
exit:
mbedtls_mpi_free( &upper_bound );
mbedtls_mpi_free( &result );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_random_fail( int min, data_t *bound_bytes, int expected_ret )
{
mbedtls_mpi upper_bound;
mbedtls_mpi result;
int actual_ret;
mbedtls_mpi_init( &upper_bound );
mbedtls_mpi_init( &result );
TEST_EQUAL( 0, mbedtls_mpi_read_binary( &upper_bound,
bound_bytes->x, bound_bytes->len ) );
actual_ret = mbedtls_mpi_random( &result, min, &upper_bound,
mbedtls_test_rnd_std_rand, NULL );
TEST_EQUAL( expected_ret, actual_ret );
exit:
mbedtls_mpi_free( &upper_bound );
mbedtls_mpi_free( &result );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_add_if( char * input_A, char * input_B,
char * input_S4, int carry4,
char * input_S8, int carry8 )
{
mbedtls_mpi S4, S8, A, B;
mbedtls_mpi_uint *a = NULL; /* first value to add */
mbedtls_mpi_uint *b = NULL; /* second value to add */
mbedtls_mpi_uint *sum = NULL;
mbedtls_mpi_uint *d = NULL; /* destination - the in/out first operand */
mbedtls_mpi_init( &A );
mbedtls_mpi_init( &B );
mbedtls_mpi_init( &S4 );
mbedtls_mpi_init( &S8 );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &S4, input_S4 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &S8, input_S8 ) );
/* We only need to work with one of (S4, carry4) or (S8, carry8) depending
* on sizeof(mbedtls_mpi_uint)
*/
mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &S4 : &S8;
mbedtls_mpi_uint carry = ( sizeof(mbedtls_mpi_uint) == 4 ) ? carry4 : carry8;
/* All of the inputs are +ve (or zero) */
TEST_EQUAL( 1, A.s );
TEST_EQUAL( 1, B.s );
TEST_EQUAL( 1, X->s );
/* Test cases are such that A <= B, so #limbs should be <= */
TEST_LE_U( A.n, B.n );
TEST_LE_U( X->n, B.n );
/* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */
/* mbedtls_mpi_core_add_if() uses input arrays of mbedtls_mpi_uints which
* must be the same size. The MPIs we've read in will only have arrays
* large enough for the number they represent. Therefore we create new
* raw arrays of mbedtls_mpi_uints and populate them from the MPIs we've
* just read in.
*
* We generated test data such that B was always >= A, so that's how many
* limbs each of these need.
*/
size_t limbs = B.n;
size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
/* ASSERT_ALLOC() uses calloc() under the hood, so these do get zeroed */
ASSERT_ALLOC( a, bytes );
ASSERT_ALLOC( b, bytes );
ASSERT_ALLOC( sum, bytes );
ASSERT_ALLOC( d, bytes );
/* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as
* processed by mbedtls_mpi_core_add_if()) are little endian, we can just
* copy what we have as long as MSBs are 0 (which they are from ASSERT_ALLOC())
*/
memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) );
memcpy( b, B.p, B.n * sizeof(mbedtls_mpi_uint) );
memcpy( sum, X->p, X->n * sizeof(mbedtls_mpi_uint) );
/* The test cases have a <= b to avoid repetition, so we test a + b then,
* if a != b, b + a. If a == b, we can test when a and b are aliased */
/* a + b */
/* cond = 0 => d unchanged, no carry */
memcpy( d, a, bytes );
TEST_EQUAL( 0, mbedtls_mpi_core_add_if( d, b, limbs, 0 ) );
ASSERT_COMPARE( d, bytes, a, bytes );
/* cond = 1 => correct result and carry */
TEST_EQUAL( carry, mbedtls_mpi_core_add_if( d, b, limbs, 1 ) );
ASSERT_COMPARE( d, bytes, sum, bytes );
if ( A.n == B.n && memcmp( A.p, B.p, bytes ) == 0 )
{
/* a == b, so test where a and b are aliased */
/* cond = 0 => d unchanged, no carry */
TEST_EQUAL( 0, mbedtls_mpi_core_add_if( b, b, limbs, 0 ) );
ASSERT_COMPARE( b, bytes, B.p, bytes );
/* cond = 1 => correct result and carry */
TEST_EQUAL( carry, mbedtls_mpi_core_add_if( b, b, limbs, 1 ) );
ASSERT_COMPARE( b, bytes, sum, bytes );
}
else
{
/* a != b, so test b + a */
/* cond = 0 => d unchanged, no carry */
memcpy( d, b, bytes );
TEST_EQUAL( 0, mbedtls_mpi_core_add_if( d, a, limbs, 0 ) );
ASSERT_COMPARE( d, bytes, b, bytes );
/* cond = 1 => correct result and carry */
TEST_EQUAL( carry, mbedtls_mpi_core_add_if( d, a, limbs, 1 ) );
ASSERT_COMPARE( d, bytes, sum, bytes );
}
exit:
mbedtls_free( a );
mbedtls_free( b );
mbedtls_free( sum );
mbedtls_free( d );
mbedtls_mpi_free( &S4 );
mbedtls_mpi_free( &S8 );
mbedtls_mpi_free( &A );
mbedtls_mpi_free( &B );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_sub( char * input_A, char * input_B,
char * input_X4, char * input_X8,
int carry )
{
mbedtls_mpi A, B, X4, X8;
mbedtls_mpi_uint *a = NULL;
mbedtls_mpi_uint *b = NULL;
mbedtls_mpi_uint *x = NULL; /* expected */
mbedtls_mpi_uint *r = NULL; /* result */
mbedtls_mpi_init( &A );
mbedtls_mpi_init( &B );
mbedtls_mpi_init( &X4 );
mbedtls_mpi_init( &X8 );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X4, input_X4 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X8, input_X8 ) );
/* All of the inputs are +ve (or zero) */
TEST_EQUAL( 1, A.s );
TEST_EQUAL( 1, B.s );
TEST_EQUAL( 1, X4.s );
TEST_EQUAL( 1, X8.s );
/* Get the number of limbs we will need */
size_t limbs = MAX( A.n, B.n );
size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
/* We only need to work with X4 or X8, depending on sizeof(mbedtls_mpi_uint) */
mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8;
/* The result shouldn't have more limbs than the longest input */
TEST_LE_U( X->n, limbs );
/* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */
/* ASSERT_ALLOC() uses calloc() under the hood, so these do get zeroed */
ASSERT_ALLOC( a, bytes );
ASSERT_ALLOC( b, bytes );
ASSERT_ALLOC( x, bytes );
ASSERT_ALLOC( r, bytes );
/* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as
* processed by mbedtls_mpi_core_sub()) are little endian, we can just
* copy what we have as long as MSBs are 0 (which they are from ASSERT_ALLOC())
*/
memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) );
memcpy( b, B.p, B.n * sizeof(mbedtls_mpi_uint) );
memcpy( x, X->p, X->n * sizeof(mbedtls_mpi_uint) );
/* 1a) r = a - b => we should get the correct carry */
TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, a, b, limbs ) );
/* 1b) r = a - b => we should get the correct result */
ASSERT_COMPARE( r, bytes, x, bytes );
/* 2 and 3 test "r may be aliased to a or b" */
/* 2a) r = a; r -= b => we should get the correct carry (use r to avoid clobbering a) */
memcpy( r, a, bytes );
TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, r, b, limbs ) );
/* 2b) r -= b => we should get the correct result */
ASSERT_COMPARE( r, bytes, x, bytes );
/* 3a) r = b; r = a - r => we should get the correct carry (use r to avoid clobbering b) */
memcpy( r, b, bytes );
TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, a, r, limbs ) );
/* 3b) r = a - b => we should get the correct result */
ASSERT_COMPARE( r, bytes, x, bytes );
/* 4 tests "r may be aliased to [...] both" */
if ( A.n == B.n && memcmp( A.p, B.p, bytes ) == 0 )
{
memcpy( r, b, bytes );
TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, r, r, limbs ) );
ASSERT_COMPARE( r, bytes, x, bytes );
}
exit:
mbedtls_free( a );
mbedtls_free( b );
mbedtls_free( x );
mbedtls_free( r );
mbedtls_mpi_free( &A );
mbedtls_mpi_free( &B );
mbedtls_mpi_free( &X4 );
mbedtls_mpi_free( &X8 );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_mla( char * input_A, char * input_B, char * input_S,
char * input_X4, char * input_cy4,
char * input_X8, char * input_cy8 )
{
/* We are testing A += B * s; A, B are MPIs, s is a scalar.
*
* However, we encode s as an MPI in the .data file as the test framework
* currently only supports `int`-typed scalars, and that doesn't cover the
* full range of `mbedtls_mpi_uint`.
*
* We also have the different results for sizeof(mbedtls_mpi_uint) == 4 or 8.
*/
mbedtls_mpi A, B, S, X4, X8, cy4, cy8;
mbedtls_mpi_uint *a = NULL;
mbedtls_mpi_uint *x = NULL;
mbedtls_mpi_init( &A );
mbedtls_mpi_init( &B );
mbedtls_mpi_init( &S );
mbedtls_mpi_init( &X4 );
mbedtls_mpi_init( &X8 );
mbedtls_mpi_init( &cy4 );
mbedtls_mpi_init( &cy8 );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &S, input_S ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X4, input_X4 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &cy4, input_cy4 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X8, input_X8 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &cy8, input_cy8 ) );
/* The MPI encoding of scalar s must be only 1 limb */
TEST_EQUAL( 1, S.n );
/* We only need to work with X4 or X8, and cy4 or cy8, depending on sizeof(mbedtls_mpi_uint) */
mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8;
mbedtls_mpi *cy = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &cy4 : &cy8;
/* The carry should only have one limb */
TEST_EQUAL( 1, cy->n );
/* All of the inputs are +ve (or zero) */
TEST_EQUAL( 1, A.s );
TEST_EQUAL( 1, B.s );
TEST_EQUAL( 1, S.s );
TEST_EQUAL( 1, X->s );
TEST_EQUAL( 1, cy->s );
/* Get the (max) number of limbs we will need */
size_t limbs = MAX( A.n, B.n );
size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
/* The result shouldn't have more limbs than the longest input */
TEST_LE_U( X->n, limbs );
/* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */
/* ASSERT_ALLOC() uses calloc() under the hood, so these do get zeroed */
ASSERT_ALLOC( a, bytes );
ASSERT_ALLOC( x, bytes );
/* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as
* processed by mbedtls_mpi_core_mla()) are little endian, we can just
* copy what we have as long as MSBs are 0 (which they are from ASSERT_ALLOC()).
*/
memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) );
memcpy( x, X->p, X->n * sizeof(mbedtls_mpi_uint) );
/* 1a) A += B * s => we should get the correct carry */
TEST_EQUAL( mbedtls_mpi_core_mla( a, limbs, B.p, B.n, *S.p ), *cy->p );
/* 1b) A += B * s => we should get the correct result */
ASSERT_COMPARE( a, bytes, x, bytes );
if ( A.n == B.n && memcmp( A.p, B.p, bytes ) == 0 )
{
/* Check when A and B are aliased */
memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) );
TEST_EQUAL( mbedtls_mpi_core_mla( a, limbs, a, limbs, *S.p ), *cy->p );
ASSERT_COMPARE( a, bytes, x, bytes );
}
exit:
mbedtls_free( a );
mbedtls_free( x );
mbedtls_mpi_free( &A );
mbedtls_mpi_free( &B );
mbedtls_mpi_free( &S );
mbedtls_mpi_free( &X4 );
mbedtls_mpi_free( &X8 );
mbedtls_mpi_free( &cy4 );
mbedtls_mpi_free( &cy8 );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_montg_init( char * input_N, char * input_mm )
{
mbedtls_mpi N, mm;
mbedtls_mpi_init( &N );
mbedtls_mpi_init( &mm );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, input_N ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &mm, input_mm ) );
/* The MPI encoding of mm should be 1 limb (sizeof(mbedtls_mpi_uint) == 8) or
* 2 limbs (sizeof(mbedtls_mpi_uint) == 4).
*
* The data file contains the expected result for sizeof(mbedtls_mpi_uint) == 8;
* for sizeof(mbedtls_mpi_uint) == 4 it's just the LSW of this.
*/
TEST_ASSERT( mm.n == 1 || mm.n == 2 );
/* All of the inputs are +ve (or zero) */
TEST_EQUAL( 1, N.s );
TEST_EQUAL( 1, mm.s );
/* mbedtls_mpi_core_montmul_init() only returns a result, no error possible */
mbedtls_mpi_uint result = mbedtls_mpi_core_montmul_init( N.p );
/* Check we got the correct result */
TEST_EQUAL( result, mm.p[0] );
exit:
mbedtls_mpi_free( &N );
mbedtls_mpi_free( &mm );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_core_montmul( int limbs_AN4, int limbs_B4,
int limbs_AN8, int limbs_B8,
char * input_A,
char * input_B,
char * input_N,
char * input_X4,
char * input_X8 )
{
mbedtls_mpi A, B, N, X4, X8, T, R;
mbedtls_mpi_init( &A );
mbedtls_mpi_init( &B );
mbedtls_mpi_init( &N );
mbedtls_mpi_init( &X4 ); /* expected result, sizeof(mbedtls_mpi_uint) == 4 */
mbedtls_mpi_init( &X8 ); /* expected result, sizeof(mbedtls_mpi_uint) == 8 */
mbedtls_mpi_init( &T );
mbedtls_mpi_init( &R ); /* for the result */
TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, input_N ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X4, input_X4 ) );
TEST_EQUAL( 0, mbedtls_test_read_mpi( &X8, input_X8 ) );
mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8;
int limbs_AN = ( sizeof(mbedtls_mpi_uint) == 4 ) ? limbs_AN4 : limbs_AN8;
int limbs_B = ( sizeof(mbedtls_mpi_uint) == 4 ) ? limbs_B4 : limbs_B8;
TEST_LE_U( A.n, (size_t)limbs_AN );
TEST_LE_U( X->n, (size_t)limbs_AN );
TEST_LE_U( B.n, (size_t)limbs_B );
TEST_LE_U( limbs_B, limbs_AN );
/* All of the inputs are +ve (or zero) */
TEST_EQUAL( 1, A.s );
TEST_EQUAL( 1, B.s );
TEST_EQUAL( 1, N.s );
TEST_EQUAL( 1, X->s );
TEST_EQUAL( 0, mbedtls_mpi_grow( &A, limbs_AN ) );
TEST_EQUAL( 0, mbedtls_mpi_grow( &N, limbs_AN ) );
TEST_EQUAL( 0, mbedtls_mpi_grow( X, limbs_AN ) );
TEST_EQUAL( 0, mbedtls_mpi_grow( &B, limbs_B ) );
TEST_EQUAL( 0, mbedtls_mpi_grow( &T, limbs_AN * 2 + 1 ) );
/* Calculate the Montgomery constant (this is unit tested separately) */
mbedtls_mpi_uint mm = mbedtls_mpi_core_montmul_init( N.p );
TEST_EQUAL( 0, mbedtls_mpi_grow( &R, limbs_AN ) ); /* ensure it's got the right number of limbs */
mbedtls_mpi_core_montmul( R.p, A.p, B.p, B.n, N.p, N.n, mm, T.p );
size_t bytes = N.n * sizeof(mbedtls_mpi_uint);
ASSERT_COMPARE( R.p, bytes, X->p, bytes );
/* The output (R, above) may be aliased to A - use R to save the value of A */
memcpy( R.p, A.p, bytes );
mbedtls_mpi_core_montmul( A.p, A.p, B.p, B.n, N.p, N.n, mm, T.p );
ASSERT_COMPARE( A.p, bytes, X->p, bytes );
memcpy( A.p, R.p, bytes ); /* restore A */
/* The output may be aliased to N - use R to save the value of N */
memcpy( R.p, N.p, bytes );
mbedtls_mpi_core_montmul( N.p, A.p, B.p, B.n, N.p, N.n, mm, T.p );
ASSERT_COMPARE( N.p, bytes, X->p, bytes );
memcpy( N.p, R.p, bytes );
if (limbs_AN == limbs_B)
{
/* Test when A aliased to B (requires A == B on input values) */
if ( memcmp( A.p, B.p, bytes ) == 0 )
{
/* Test with A aliased to B and output, since this is permitted -
* don't bother with yet another test with only A and B aliased */
mbedtls_mpi_core_montmul( B.p, B.p, B.p, B.n, N.p, N.n, mm, T.p );
ASSERT_COMPARE( B.p, bytes, X->p, bytes );
memcpy( B.p, A.p, bytes ); /* restore B from equal value A */
}
/* The output may be aliased to B - last test, so we don't save B */
mbedtls_mpi_core_montmul( B.p, A.p, B.p, B.n, N.p, N.n, mm, T.p );
ASSERT_COMPARE( B.p, bytes, X->p, bytes );
}
exit:
mbedtls_mpi_free( &A );
mbedtls_mpi_free( &B );
mbedtls_mpi_free( &N );
mbedtls_mpi_free( &X4 );
mbedtls_mpi_free( &X8 );
mbedtls_mpi_free( &T );
mbedtls_mpi_free( &R );
}
/* END_CASE */
/* BEGIN_CASE depends_on:MBEDTLS_SELF_TEST */
void mpi_selftest( )
{
TEST_ASSERT( mbedtls_mpi_self_test( 1 ) == 0 );
}
/* END_CASE */
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