mpi_exp_mod: move X next to the precomputed values
With small exponents (for example, when doing RSA-1024 with CRT, each prime is 512 bits and we'll use wsize = 5 which may be smaller that the maximum - or even worse when doing public RSA operations which typically have a 16-bit exponent so we'll use wsize = 1) the usage of W will have pre-computed values, then empty space, then the accumulator at the very end. Move X next to the precomputed values to make accesses more efficient and intuitive. Signed-off-by: Janos Follath <janos.follath@arm.com>
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1 changed files with 8 additions and 7 deletions
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@ -1975,7 +1975,6 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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size_t bufsize, nbits;
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mbedtls_mpi_uint ei, mm, state;
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mbedtls_mpi RR, T, W[ ( 1 << MBEDTLS_MPI_WINDOW_SIZE ) + 1 ], WW, Apos;
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const size_t w_table_size = sizeof( W ) / sizeof( W[0] );
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int neg;
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MPI_VALIDATE_RET( X != NULL );
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@ -2006,6 +2005,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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window_bitsize = ( i > 671 ) ? 6 : ( i > 239 ) ? 5 :
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( i > 79 ) ? 4 : ( i > 23 ) ? 3 : 1;
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const size_t w_table_used_size = ( 1 << window_bitsize ) + 1;
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#if( MBEDTLS_MPI_WINDOW_SIZE < 6 )
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if( window_bitsize > MBEDTLS_MPI_WINDOW_SIZE )
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@ -2024,7 +2024,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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* To achieve this, we make a copy of X and we use the table entry in each
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* calculation from this point on.
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*/
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const size_t x_index = w_table_size - 1;
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const size_t x_index = w_table_used_size - 1;
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mbedtls_mpi_init( &W[x_index] );
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mbedtls_mpi_copy( &W[x_index], X );
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@ -2146,7 +2146,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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/*
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* out of window, square W[x_index]
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*/
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_size, x_index ) );
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_used_size, x_index ) );
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mpi_montmul( &W[x_index], &WW, N, mm, &T );
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continue;
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}
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@ -2166,14 +2166,15 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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*/
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for( i = 0; i < window_bitsize; i++ )
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{
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_size, x_index ) );
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_used_size,
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x_index ) );
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mpi_montmul( &W[x_index], &WW, N, mm, &T );
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}
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/*
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* W[x_index] = W[x_index] * W[exponent_bits_in_window] R^-1 mod N
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*/
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_size,
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_used_size,
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exponent_bits_in_window ) );
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mpi_montmul( &W[x_index], &WW, N, mm, &T );
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@ -2188,14 +2189,14 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
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*/
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for( i = 0; i < nbits; i++ )
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{
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_size, x_index ) );
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_used_size, x_index ) );
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mpi_montmul( &W[x_index], &WW, N, mm, &T );
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exponent_bits_in_window <<= 1;
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if( ( exponent_bits_in_window & ( one << window_bitsize ) ) != 0 )
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{
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_size, 1 ) );
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MBEDTLS_MPI_CHK( mpi_select( &WW, W, w_table_used_size, 1 ) );
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mpi_montmul( &W[x_index], &WW, N, mm, &T );
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}
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}
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