mbedtls_mpi_sub_abs: check the range of the result when it happens
The function mbedtls_mpi_sub_abs first checked that A >= B and then performed the subtraction, relying on the fact that A >= B to guarantee that the carry propagation would stop, and not taking advantage of the fact that the carry when subtracting two numbers can only be 0 or 1. This made the carry propagation code a little hard to follow. Write an ad hoc loop for the carry propagation, checking the size of the result. This makes termination obvious. The initial check that A >= B is no longer needed, since the function now checks that the carry propagation terminates, which is equivalent. This is a slight performance gain. Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
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@ -1374,20 +1374,20 @@ static mbedtls_mpi_uint mpi_sub_hlp( size_t n,
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}
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/*
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* Unsigned subtraction: X = |A| - |B| (HAC 14.9)
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* Unsigned subtraction: X = |A| - |B| (HAC 14.9, 14.10)
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*/
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int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
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{
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mbedtls_mpi TB;
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int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
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size_t n;
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mbedtls_mpi_uint c, z;
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mbedtls_mpi_uint carry;
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MPI_VALIDATE_RET( X != NULL );
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MPI_VALIDATE_RET( A != NULL );
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MPI_VALIDATE_RET( B != NULL );
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if( mbedtls_mpi_cmp_abs( A, B ) < 0 )
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return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE );
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/* if( mbedtls_mpi_cmp_abs( A, B ) < 0 ) */
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/* return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE ); */
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mbedtls_mpi_init( &TB );
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@ -1411,11 +1411,17 @@ int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi
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if( B->p[n - 1] != 0 )
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break;
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c = mpi_sub_hlp( n, X->p, B->p );
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while( c != 0 )
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carry = mpi_sub_hlp( n, X->p, B->p );
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if( carry != 0 )
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{
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z = ( X->p[n] < c ); X->p[n] -= c;
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c = z; n++;
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/* Propagate the carry to the first nonzero limb of X. */
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for( ; n < X->n && X->p[n] == 0; n++ )
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--X->p[n];
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/* If we ran out of space for the carry, it means that the result
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* is negative. */
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if( n == X->n )
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return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE );
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--X->p[n];
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}
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cleanup:
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