mbedtls/tests/suites/test_suite_mpi.function

/* BEGIN_HEADER */
#include "mbedtls/bignum.h"

#if MBEDTLS_MPI_MAX_BITS > 256
#define MPI_MAX_BITS_LARGER_THAN_256
#endif

typedef struct mbedtls_test_mpi_random
{
    uint8_t     *data;
    uint32_t    data_len;
    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 == 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[random->pos],
            random->chunk_len );

    random->pos += random->chunk_len;

    return( 0 );
}
/* 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( char *input_X, int radix_A, char *input_A )
{
    mbedtls_mpi X;
    unsigned char str[1000];
    unsigned char buf[1000];
    size_t len;
    size_t input_len;

    mbedtls_mpi_init( &X );

    input_len = unhexify( buf, input_X );

    TEST_ASSERT( mbedtls_mpi_read_binary( &X, buf, input_len ) == 0 );
    TEST_ASSERT( mbedtls_mpi_write_string( &X, radix_A, (char *) 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, char *input_A,
                       int output_size, int result )
{
    mbedtls_mpi X;
    unsigned char str[1000];
    unsigned char buf[1000];
    size_t buflen;

    memset( buf, 0x00, 1000 );
    memset( str, 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)
    {
        hexify( str, buf, buflen );

        TEST_ASSERT( strcasecmp( (char *) str, input_A ) == 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, char *input_A,
                    int result )
{
    mbedtls_mpi X;
    unsigned char str[1000];
    unsigned char buf[1000];
    size_t buflen;
    FILE *file;
    int ret;

    memset( buf, 0x00, 1000 );
    memset( str, 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 );

        hexify( str, buf, buflen );

        TEST_ASSERT( strcasecmp( (char *) str, input_A ) == 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;
    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( char *input_X, char *input_Y )
{
    mbedtls_mpi X, Y, X0;
    mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &X0 );

    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_read_string( &X0, 16, input_X ) == 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( char *input_X, char *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_string( &X, 16, input_X ) == 0 );
    TEST_ASSERT( mbedtls_mpi_read_string( &Y, 16, input_Y ) == 0 );
    TEST_ASSERT( mbedtls_mpi_read_string( &X0, 16, input_X ) == 0 );
    TEST_ASSERT( mbedtls_mpi_read_string( &Y0, 16, input_Y ) == 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( char *input_X )
{
    mbedtls_mpi X, X0;
    mbedtls_mpi_init( &X ); mbedtls_mpi_init( &X0 );

    TEST_ASSERT( mbedtls_mpi_read_string( &X, 16, input_X ) == 0 );
    TEST_ASSERT( mbedtls_mpi_read_string( &X0, 16, input_X ) == 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 );

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 );

exit:
    mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); mbedtls_mpi_free( &A );
}
/* END_CASE */

/* BEGIN_CASE */
void mpi_add_abs_add_first( int radix_X, char *input_X, int radix_Y,
                            char *input_Y, int radix_A, char *input_A )
{
    mbedtls_mpi X, Y, A;
    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 );
    TEST_ASSERT( mbedtls_mpi_add_abs( &X, &X, &Y ) == 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 mpi_add_abs_add_second( int radix_X, char *input_X, int radix_Y,
                             char *input_Y, int radix_A, char *input_A )
{
    mbedtls_mpi X, Y, A;
    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 );
    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( &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 );

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 );

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 depends_on:MPI_MAX_BITS_LARGER_THAN_256 */
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( &X, 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( char *input_X, char *witnesses,
                               int chunk_len, int div_result )
{
    mbedtls_mpi X;
    int res;
    mbedtls_test_mpi_random rand;
    uint8_t *witness_buf = NULL;
    uint8_t *input_buf = NULL;
    size_t witness_len;
    size_t input_len;

    witness_buf = unhexify_alloc( witnesses, &witness_len );
    input_buf = unhexify_alloc( input_X, &input_len );

    mbedtls_mpi_init( &X );
    rand.data = witness_buf;
    rand.data_len = witness_len;
    rand.pos = 0;
    rand.chunk_len = chunk_len;

    TEST_ASSERT( mbedtls_mpi_read_binary( &X, input_buf, input_len ) == 0 );
    res = mbedtls_mpi_is_prime( &X, mbedtls_test_mpi_miller_rabin_determinizer,
                                    &rand );
    TEST_ASSERT( res == div_result );

exit:
    mbedtls_mpi_free( &X );
    mbedtls_free( witness_buf );
    mbedtls_free( input_buf );
}
/* END_CASE */

/* BEGIN_CASE depends_on:MBEDTLS_GENPRIME */
void mbedtls_mpi_gen_prime( int bits, int safe, int ref_ret )
{
    mbedtls_mpi X;
    int my_ret;

    mbedtls_mpi_init( &X );

    my_ret = mbedtls_mpi_gen_prime( &X, bits, safe, 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( &X, rnd_std_rand, NULL ) == 0 );
        if( safe )
        {
            /* X = ( X - 1 ) / 2 */
            TEST_ASSERT( mbedtls_mpi_shift_r( &X, 1 ) == 0 );
            TEST_ASSERT( mbedtls_mpi_is_prime( &X, 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 depends_on:MBEDTLS_SELF_TEST */
void mpi_selftest()
{
    TEST_ASSERT( mbedtls_mpi_self_test( 1 ) == 0 );
}
/* END_CASE */