* Make secp256k1_gej_add_var and secp256k1_gej_double return the
Z ratio to go from a.z to r.z.
* Use these Z ratios to speed up batch point conversion to affine
coordinates, and to speed up batch conversion of points to a
common Z coordinate.
* Add a point addition function that takes a point with a known
Z inverse.
* Due to secp256k1's endomorphism, all additions in the EC
multiplication code can work on affine coordinate (with an
implicit common Z coordinate), correcting the Z coordinate of
the result afterwards.
Refactoring by Pieter Wuille:
* Move more global-z logic into the group code.
* Separate code for computing the odd multiples from the code to bring it
to either storage or globalz format.
* Rename functions.
* Make all addition operations return Z ratios, and test them.
* Make the zr table format compatible with future batch chaining
(the first entry in zr becomes the ratio between the input and the
first output).
Original idea and code by Peter Dettman.
Unbraced statements spanning multiple lines has been shown in many
projects to contribute to the introduction of bugs and a failure
to catch them in review, especially for maintenance on infrequently
modified code.
Most, but not all, of the existing practice in the codebase were not
cases that I would have expected to eventually result in bugs but
applying it as a rule makes it easier for other people to safely
contribute.
I'm not aware of any such evidence for the case with the statement
on a single line, but some people strongly prefer to never do that
and the opposite rule of "_always_ use a single line for single
statement blocks" isn't a reasonable rule for formatting reasons.
Might as well brace all these too, since that's more universally
acceptable.
[In any case, I seem to have introduced the vast majority of the
single-line form (as they're my preference where they fit).]
This also removes a broken test which is no longer needed.
- In secp256k1_gej_split_exp, there are two divisions used. Since the denominator is a constant known at compile-time, each can be replaced by a multiplication followed by a right-shift (and rounding).
- Add the constants g1, g2 for this purpose and rewrite secp256k1_scalar_split_lambda_var accordingly.
- Remove secp256k1_num_div since no longer used
Rebased-by: Pieter Wuille
GCC (and clang) supports extensions to annotate functions so that their
results must be used and so that their arguments can't be statically
provable to be null. If a caller violates these requirements they
get a warning, so this helps them write correct code.
I deployed this in libopus a couple years ago with good success, and
the implementation here is basically copied straight from that.
One consideration is that the non-null annotation teaches the optimizer
and will actually compile out runtime non-nullness checks as dead-code.
Since this is usually not whats wanted, the non-null annotations are
disabled when compiling the library itself.
The commit also removes some dead inclusions of assert.h and introduces
compatibility macros for restrict and inline in preparation for some
portability improvements.
Set the global pointer to the precomputation table only after initializing
it completely, and unset it before doing any uninitialization.
This causes fail-fast behavior in case of race conditions between
initialization and operations using it.
This makes a basic effort and has not been audited.
Doesn't appear to have a measurable performance impact on bench.
It also adds a secp256k1_num_free to secp256k1_ecdsa_pubkey_create.
