mirror of
https://github.com/Mbed-TLS/mbedtls.git
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move mbedtls_ecp_sw_derive_y after MPI_ECP_ macros
Signed-off-by: Glenn Strauss <gstrauss@gluelogic.com>
This commit is contained in:
111
library/ecp.c
111
library/ecp.c
@ -771,58 +771,7 @@ cleanup:
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static int mbedtls_ecp_sw_derive_y( const mbedtls_ecp_group *grp,
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static int mbedtls_ecp_sw_derive_y( const mbedtls_ecp_group *grp,
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const mbedtls_mpi *X,
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const mbedtls_mpi *X,
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mbedtls_mpi *Y,
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mbedtls_mpi *Y,
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int parity_bit )
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int parity_bit );
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{
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/* w = y^2 = x^3 + ax + b
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* y = sqrt(w) = w^((p+1)/4) mod p (for prime p where p = 3 mod 4)
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*
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* Note: this method for extracting square root does not validate that w
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* was indeed a square so this function will return garbage in Y if X
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* does not correspond to a point on the curve.
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*/
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/* Check prerequisite p = 3 mod 4 */
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if( mbedtls_mpi_get_bit( &grp->P, 0 ) != 1 ||
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mbedtls_mpi_get_bit( &grp->P, 1 ) != 1 )
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return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
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int ret;
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mbedtls_mpi exp;
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mbedtls_mpi_init( &exp );
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/* use Y to store intermediate results */
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/* y^2 = x^3 + ax + b = (x^2 + a)x + b */
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/* x^2 */
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MPI_ECP_MUL( Y, X, X );
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/* x^2 + a */
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if( !grp->A.p ) /* special case for A = -3; temporarily set exp = -3 */
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MPI_ECP_LSET( &exp, -3 );
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MPI_ECP_ADD( Y, Y, grp->A.p ? &grp->A : &exp );
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/* (x^2 + a)x */
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MPI_ECP_MUL( Y, Y, X );
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/* (x^2 + a)x + b */
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MPI_ECP_ADD( Y, Y, &grp->B );
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/* w = y^2 */ /* Y contains y^2 intermediate result */
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/* exp = ((p+1)/4) */
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MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &exp, &grp->P, 1 ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &exp, 2 ) );
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/* sqrt(w) = w^((p+1)/4) mod p (for prime p where p = 3 mod 4) */
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MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( Y, Y /*y^2*/, &exp, &grp->P, NULL ) );
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/* check parity bit match or else invert Y */
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/* This quick inversion implementation is valid because Y != 0 for all
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* Short Weierstrass curves supported by mbedtls, as each supported curve
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* has an order that is a large prime, so each supported curve does not
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* have any point of order 2, and a point with Y == 0 would be of order 2 */
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if( mbedtls_mpi_get_bit( Y, 0 ) != parity_bit )
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MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( Y, &grp->P, Y ) );
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cleanup:
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mbedtls_mpi_free( &exp );
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return( ret );
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}
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#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
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#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
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/*
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/*
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@ -1274,6 +1223,64 @@ cleanup:
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#define MPI_ECP_COND_SWAP( X, Y, cond ) \
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#define MPI_ECP_COND_SWAP( X, Y, cond ) \
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MBEDTLS_MPI_CHK( mbedtls_mpi_safe_cond_swap( (X), (Y), (cond) ) )
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MBEDTLS_MPI_CHK( mbedtls_mpi_safe_cond_swap( (X), (Y), (cond) ) )
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#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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static int mbedtls_ecp_sw_derive_y( const mbedtls_ecp_group *grp,
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const mbedtls_mpi *X,
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mbedtls_mpi *Y,
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int parity_bit )
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{
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/* w = y^2 = x^3 + ax + b
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* y = sqrt(w) = w^((p+1)/4) mod p (for prime p where p = 3 mod 4)
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*
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* Note: this method for extracting square root does not validate that w
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* was indeed a square so this function will return garbage in Y if X
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* does not correspond to a point on the curve.
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*/
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/* Check prerequisite p = 3 mod 4 */
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if( mbedtls_mpi_get_bit( &grp->P, 0 ) != 1 ||
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mbedtls_mpi_get_bit( &grp->P, 1 ) != 1 )
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return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
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int ret;
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mbedtls_mpi exp;
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mbedtls_mpi_init( &exp );
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/* use Y to store intermediate results */
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/* y^2 = x^3 + ax + b = (x^2 + a)x + b */
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/* x^2 */
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MPI_ECP_MUL( Y, X, X );
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/* x^2 + a */
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if( !grp->A.p ) /* special case for A = -3; temporarily set exp = -3 */
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MPI_ECP_LSET( &exp, -3 );
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MPI_ECP_ADD( Y, Y, grp->A.p ? &grp->A : &exp );
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/* (x^2 + a)x */
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MPI_ECP_MUL( Y, Y, X );
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/* (x^2 + a)x + b */
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MPI_ECP_ADD( Y, Y, &grp->B );
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/* w = y^2 */ /* Y contains y^2 intermediate result */
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/* exp = ((p+1)/4) */
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MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &exp, &grp->P, 1 ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &exp, 2 ) );
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/* sqrt(w) = w^((p+1)/4) mod p (for prime p where p = 3 mod 4) */
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MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( Y, Y /*y^2*/, &exp, &grp->P, NULL ) );
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/* check parity bit match or else invert Y */
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/* This quick inversion implementation is valid because Y != 0 for all
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* Short Weierstrass curves supported by mbedtls, as each supported curve
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* has an order that is a large prime, so each supported curve does not
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* have any point of order 2, and a point with Y == 0 would be of order 2 */
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if( mbedtls_mpi_get_bit( Y, 0 ) != parity_bit )
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MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( Y, &grp->P, Y ) );
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cleanup:
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mbedtls_mpi_free( &exp );
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return( ret );
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}
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#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
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#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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/*
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/*
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* For curves in short Weierstrass form, we do all the internal operations in
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* For curves in short Weierstrass form, we do all the internal operations in
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