Previously, ecp_add_mixed(), commputing say P+Q, would allow for the
Q parameter to have an unset Z coordinate as a shortcut for Z == 1.
This was leveraged during computation and usage of the T-table
(storing low multiples of the to-be-multiplied point on the curve).
It is a potentially error-prone corner case, though, since an MPIs
with unset data pointer coordinate and limb size 0 is also a valid
representation of the number 0.
As a first step towards removing ECP points with unset Z coordinate,
the constant time T-array getter ecp_select_comb() has previously
been modified to return 'full' mbedtls_ecp_point structures,
including a 1-initialized Z-coordinate.
Similarly, this commit ...
- Modifies ecp_normalize_jac_many() to set the Z coordinates
of the points it operates on to 1 instead of freeing them.
- Frees the Z-coordinates of the T[]-array explicitly
once the computation and normalization of the T-table has finished.
As a minimal functional difference between old and new code,
the new code also frees the Z-coordinate of T[0]=P, which the
old code did not.
- Modifies ecp_add_mixed() to no longer allow unset Z coordinates.
Except for the post-precomputation storage form of the T[] array,
the code does therefore no longer use EC points with unset Z coordinate.
Signed-off-by: Hanno Becker <hanno.becker@arm.com>
ee95f6c4c9