Faster proofs for arm/proofs/bignum_k{mul,sqr}_*_neon.ml #121
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This patch adds `bignum_mont{sqr,mul}_p256_neon` functions.
These are vectorized and instruction-rescheduled versions of `bignum_mont{sqr,mul}_p256`.
They are verified using the equivalence checking tactics.
A new bash script `tools/external/slothy.sh` is added to help reproduce the optimized output.
The 'intermediate' functions of the two functions are written as comments in the two assembly files.
Additionally,
- A new instruction `umull2` is formalized add added to the simulator in order to verify the new functions.
- Old `*_neon` functions' proofs are refactored a bit.
This makes the proofs of `arm/proofs/bignum_k{mul,sqr}_{16_32,32_64}_neon.ml`
faster by unusing the inlined hoare triple proofs for local 8->16 multiplication
and instead using the corresponding lemmas in bignum_{mul,sqr}_8_16_neon.ml.
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(Marked as a draft because (1) this is made on top of #118, (2) the speedup needs to be measured on the CI check machines, and (3) the proofs may fail due to my mistake)
This makes the proofs of
arm/proofs/bignum_k{mul,sqr}_{16_32,32_64}_neon.mlfaster by unusing the inlined hoare triple proofs for local 8->16 multiplication
and instead using the corresponding lemmas in bignum_{mul,sqr}_8_16_neon.ml.
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