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mbedtls/tests/suites/test_suite_mpi.function

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/* BEGIN_HEADER */
#include "mbedtls/bignum.h"
#include "mbedtls/entropy.h"
#if MBEDTLS_MPI_MAX_BITS > 792
#define MPI_MAX_BITS_LARGER_THAN_792
#endif
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( 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 mbedtls_mpi_read_binary( data_t * buf, int radix_A, 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( mbedtls_mpi_write_string( &X, radix_A, str, sizeof( str ), &len ) == 0 );
TEST_ASSERT( strcmp( (char *) str, input_A ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_read_binary_le( data_t * buf, int radix_A, 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( mbedtls_mpi_write_string( &X, radix_A, str, sizeof( str ), &len ) == 0 );
TEST_ASSERT( strcmp( (char *) str, input_A ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_write_binary( int radix_X, 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_mpi_read_string( &X, radix_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 mbedtls_mpi_write_binary_le( int radix_X, 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_mpi_read_string( &X, radix_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 mbedtls_mpi_read_file( int radix_X, 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, radix_X, file );
fclose(file);
TEST_ASSERT( ret == result );
if( result == 0 )
{
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 mbedtls_mpi_write_file( int radix_X, char * input_X, int output_radix,
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_mpi_read_string( &X, radix_X, input_X ) == 0 );
file_out = fopen( output_file, "w" );
TEST_ASSERT( file_out != NULL );
ret = mbedtls_mpi_write_file( NULL, &X, output_radix, 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, output_radix, 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 mbedtls_mpi_get_bit( int radix_X, char * input_X, int pos, int val )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_get_bit( &X, pos ) == val );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_set_bit( int radix_X, char * input_X, int pos, int val,
int radix_Y, char * output_Y, int result )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, output_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_set_bit( &X, pos, val ) == result );
if( result == 0 )
{
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y ) == 0 );
}
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_lsb( int radix_X, char * input_X, int nr_bits )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_lsb( &X ) == (size_t) nr_bits );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_bitlen( int radix_X, char * input_X, int nr_bits )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_bitlen( &X ) == (size_t) nr_bits );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_gcd( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &Z, &X, &Y ) == 0 );
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 mbedtls_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 mbedtls_mpi_cmp_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int input_A )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_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 mbedtls_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_mpi_read_string( &X, 16, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, 16, 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 mbedtls_mpi_cmp_abs( int radix_X, char * input_X, int radix_Y,
char * input_Y, int input_A )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_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 mbedtls_mpi_copy_sint( int input_X, int input_Y )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_lset( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_lset( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &Y, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &Y, input_X ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_copy_binary( data_t *input_X, data_t *input_Y )
{
mbedtls_mpi X, Y, X0;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &X0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &X, input_X->x, input_X->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &Y, input_Y->x, input_Y->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &X0, input_X->x, input_X->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &X0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &Y, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &X0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &X0 ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &X0 );
}
/* END_CASE */
/* BEGIN_CASE */
void mpi_copy_self( int input_X )
{
mbedtls_mpi X;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_lset( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &X, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, input_X ) == 0 );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_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 );
TEST_ASSERT( used <= before );
memset( X.p, 0x2a, used * sizeof( mbedtls_mpi_uint ) );
TEST_ASSERT( mbedtls_mpi_shrink( &X, min ) == 0 );
TEST_ASSERT( X.n == (size_t) after );
exit:
mbedtls_mpi_free( &X );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_safe_cond_assign( int x_sign, char * x_str, int y_sign,
char * y_str )
{
mbedtls_mpi X, Y, XX;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &XX );
TEST_ASSERT( mbedtls_mpi_read_string( &X, 16, x_str ) == 0 );
X.s = x_sign;
TEST_ASSERT( mbedtls_mpi_read_string( &Y, 16, y_str ) == 0 );
Y.s = y_sign;
TEST_ASSERT( mbedtls_mpi_copy( &XX, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_assign( &X, &Y, 0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &XX ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_assign( &X, &Y, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &XX );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_safe_cond_swap( int x_sign, char * x_str, int y_sign,
char * y_str )
{
mbedtls_mpi X, Y, XX, YY;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
mbedtls_mpi_init( &XX ); mbedtls_mpi_init( &YY );
TEST_ASSERT( mbedtls_mpi_read_string( &X, 16, x_str ) == 0 );
X.s = x_sign;
TEST_ASSERT( mbedtls_mpi_read_string( &Y, 16, y_str ) == 0 );
Y.s = y_sign;
TEST_ASSERT( mbedtls_mpi_copy( &XX, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_copy( &YY, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_swap( &X, &Y, 0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &XX ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &YY ) == 0 );
TEST_ASSERT( mbedtls_mpi_safe_cond_swap( &X, &Y, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &XX ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &YY ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
mbedtls_mpi_free( &XX ); mbedtls_mpi_free( &YY );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_swap_sint( int input_X, int input_Y )
{
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_lset( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_lset( &Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &Y, input_Y ) == 0 );
mbedtls_mpi_swap( &X, &Y );
TEST_ASSERT( mbedtls_mpi_cmp_int( &X, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_int( &Y, input_X ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_swap_binary( data_t *input_X, data_t *input_Y )
{
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_mpi_read_binary( &X, input_X->x, input_X->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &Y, input_Y->x, input_Y->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &X0, input_X->x, input_X->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &Y0, input_Y->x, input_Y->len ) == 0 );
mbedtls_mpi_swap( &X, &Y );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &Y0 ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Y, &X0 ) == 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( data_t *input_X )
{
mbedtls_mpi X, X0;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &X0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &X, input_X->x, input_X->len ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_binary( &X0, input_X->x, input_X->len ) == 0 );
mbedtls_mpi_swap( &X, &X );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &X0 ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &X0 );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_add_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_mpi( &Z, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_add_mpi( &X, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_add_mpi( &Y, &X, &Y ) == 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 mbedtls_mpi_add_mpi_inplace( int radix_X, char * input_X, int radix_A,
char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_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( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_abs( &X, &X, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_mpi( &X, &X, &X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_add_abs( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_abs( &Z, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_add_abs( &X, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_add_abs( &Y, &X, &Y ) == 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 mbedtls_mpi_add_int( int radix_X, char * input_X, int input_Y,
int radix_A, char * input_A )
{
mbedtls_mpi X, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_add_int( &Z, &X, input_Y ) == 0 );
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 mbedtls_mpi_sub_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_mpi( &Z, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &Z, &A ) == 0 );
/* result == first operand */
TEST_ASSERT( mbedtls_mpi_sub_mpi( &X, &X, &Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_sub_mpi( &Y, &X, &Y ) == 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 mbedtls_mpi_sub_abs( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
res = mbedtls_mpi_sub_abs( &Z, &X, &Y );
TEST_ASSERT( res == sub_result );
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 );
if( sub_result == 0 )
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
/* result == second operand */
TEST_ASSERT( mbedtls_mpi_sub_abs( &Y, &X, &Y ) == sub_result );
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 mbedtls_mpi_sub_int( int radix_X, char * input_X, int input_Y,
int radix_A, char * input_A )
{
mbedtls_mpi X, Z, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Z ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Z, &X, input_Y ) == 0 );
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 mbedtls_mpi_mul_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &Z, &X, &Y ) == 0 );
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 mbedtls_mpi_mul_int( int radix_X, char * input_X, int input_Y,
int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_int( &Z, &X, input_Y ) == 0 );
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 mbedtls_mpi_div_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, char * input_A,
int radix_B, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &B, radix_B, input_B ) == 0 );
res = mbedtls_mpi_div_mpi( &Q, &R, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
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 mbedtls_mpi_div_int( int radix_X, char * input_X, int input_Y,
int radix_A, char * input_A, int radix_B,
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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &B, radix_B, input_B ) == 0 );
res = mbedtls_mpi_div_int( &Q, &R, &X, input_Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
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 mbedtls_mpi_mod_mpi( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
res = mbedtls_mpi_mod_mpi( &X, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
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 mbedtls_mpi_mod_int( int radix_X, 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_mpi_read_string( &X, radix_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 mbedtls_mpi_exp_mod( int radix_A, char * input_A, int radix_E,
char * input_E, int radix_N, char * input_N,
int radix_RR, char * input_RR, int radix_X,
char * input_X, int div_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_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
if( strlen( input_RR ) )
TEST_ASSERT( mbedtls_mpi_read_string( &RR, radix_RR, input_RR ) == 0 );
res = mbedtls_mpi_exp_mod( &Z, &A, &E, &N, &RR );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
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 mbedtls_mpi_exp_mod_size( int A_bytes, int E_bytes, int N_bytes,
int radix_RR, 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_mpi_read_string( &RR, radix_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 mbedtls_mpi_inv_mod( int radix_X, char * input_X, int radix_Y,
char * input_Y, int radix_A, 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_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, radix_Y, input_Y ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
res = mbedtls_mpi_inv_mod( &Z, &X, &Y );
TEST_ASSERT( res == div_result );
if( res == 0 )
{
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 mbedtls_mpi_is_prime( int radix_X, char * input_X, int div_result )
{
mbedtls_mpi X;
int res;
mbedtls_mpi_init( &X );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_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 mbedtls_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 mbedtls_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( 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 mbedtls_mpi_shift_l( int radix_X, char * input_X, int shift_X,
int radix_A, char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_l( &X, shift_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_cmp_mpi( &X, &A ) == 0 );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &A );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_shift_r( int radix_X, char * input_X, int shift_X,
int radix_A, char * input_A )
{
mbedtls_mpi X, A;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &A );
TEST_ASSERT( mbedtls_mpi_read_string( &X, radix_X, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &A, radix_A, input_A ) == 0 );
TEST_ASSERT( mbedtls_mpi_shift_r( &X, shift_X ) == 0 );
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 );
}
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( 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( 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 depends_on:MBEDTLS_SELF_TEST */
void mpi_selftest( )
{
TEST_ASSERT( mbedtls_mpi_self_test( 1 ) == 0 );
}
/* END_CASE */
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