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	Adapt rsa_complete to deal with RSA_NO_CRT option
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				@ -612,6 +612,7 @@ int mbedtls_rsa_complete( mbedtls_rsa_context *ctx,
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     *         to our current RSA implementaiton.
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     */
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#if !defined(MBEDTLS_RSA_NO_CRT)
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    if( is_priv )
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    {
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        ret = mbedtls_rsa_deduce_crt( &ctx->P,  &ctx->Q,  &ctx->D,
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@ -619,6 +620,7 @@ int mbedtls_rsa_complete( mbedtls_rsa_context *ctx,
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        if( ret != 0 )
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            return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
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    }
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#endif /* MBEDTLS_RSA_NO_CRT */
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    /*
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     * Step 3: Double check
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@ -647,31 +649,89 @@ int mbedtls_rsa_complete( mbedtls_rsa_context *ctx,
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int mbedtls_rsa_check_crt( mbedtls_rsa_context *ctx, mbedtls_mpi *DP,
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                           mbedtls_mpi *DQ, mbedtls_mpi *QP )
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{
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    /* Check if key is private or public */
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    const int opt_present =
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        mbedtls_mpi_cmp_int( &ctx->DP, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->DQ, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->QP, 0 ) != 0;
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    int ret = 0;
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    if( !opt_present )
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    /* Check if key is private or public */
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    const int is_priv =
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        mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
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        mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
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    if( !is_priv )
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    {
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        /* Checking optional parameters only makes sense for private keys. */
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        return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
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    }
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    /* Alternative implementations not having DP, DQ, QP as part of
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     * the RSA context structure could perform the following checks instead:
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     * (1) Check that DP - P     == 0 mod P - 1
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     * (2) Check that DQ - Q     == 0 mod Q - 1
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     * (3) Check that QP * P - 1 == 0 mod P
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     */
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#if !defined(MBEDTLS_RSA_NO_CRT)
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    if( ( DP != NULL && mbedtls_mpi_cmp_mpi( DP, &ctx->DP ) != 0 ) ||
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        ( DQ != NULL && mbedtls_mpi_cmp_mpi( DQ, &ctx->DQ ) != 0 ) ||
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        ( QP != NULL && mbedtls_mpi_cmp_mpi( QP, &ctx->QP ) != 0 ) )
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    {
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        return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
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    }
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#else /* MBEDTLS_RSA_NO_CRT */
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    /*
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     * Check that DP, DQ and QP are in accordance with core parameters.
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     * (1) Check that DP - P     == 0 mod P - 1
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     * (2) Check that DQ - Q     == 0 mod Q - 1
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     * (3) Check that QP * P - 1 == 0 mod P
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     * Alternative implementation also not using DP, DQ and QP
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     * should be able to reuse this codepath.
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     */
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    /* Check (1) */
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    if( DP != NULL )
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    {
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        /* Temporarily replace P by P-1 and compute DP - D mod P-1 */
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        MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->P, &ctx->P, 1 ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( DP, DP, &ctx->D ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( DP, DP, &ctx->P ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->P, &ctx->P, 1 ) );
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        if( mbedtls_mpi_cmp_int( DP, 0 ) != 0 )
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        {
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            return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
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        }
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    }
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    /* Check (1) */
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    if( DQ != NULL )
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    {
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        /* Temporarily replace Q by Q-1 and compute DQ - D mod Q-1 */
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        MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->Q, &ctx->Q, 1 ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( DQ, DQ, &ctx->D ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( DQ, DQ, &ctx->Q ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->Q, &ctx->Q, 1 ) );
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        if( mbedtls_mpi_cmp_int( DQ, 0 ) != 0 )
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        {
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            return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
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        }
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    }
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    /* Check (3) */
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    if( QP != NULL )
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    {
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        MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( QP, QP, &ctx->Q ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( QP, QP, 1 ) );
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        MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( QP, QP, &ctx->P ) );
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        if( mbedtls_mpi_cmp_int( QP, 0 ) != 0 )
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        {
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            return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
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        }
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    }
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cleanup:
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#endif
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    if( ret != 0 )
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        return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
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    return( 0 );
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}
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