secp256k1: Add additional field64 benchmarks.#3710
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Introduce FieldVal64, an alternative secp256k1 field element that packs the value into four uint64 limbs (base 2^64) and stays fully reduced after every operation. AI-assisted: developed with the help of an AI coding assistant; all code reviewed and tested by the author.
Add a test suite for FieldVal64 mirroring the existing FieldVal tests: serialization round-trips, arithmetic (add, negate, multiply, square), normalization, inverse, square root, and the bit predicates, plus randomized checks. Cases that only apply to the unnormalized FieldVal representation are adjusted since FieldVal64 is always fully reduced. AI-assisted: developed with the help of an AI coding assistant; all code reviewed and tested by the author.
Add micro-benchmarks for the FieldVal64 multiply, square, inverse, and related operations to track the pure Go performance. AI-assisted: developed with the help of an AI coding assistant; all code reviewed and tested by the author.
Reorder methods to mirror field.go and tidy the exported doc comments so the two field backends stay consistent. Drop Normalize and magnitude tracking since FieldVal64 is always fully reduced, add MulBy2 through MulBy8 for the common small-constant multiplications, and back them with a generic MulInt. Rework the edge-case tests to exercise the 4x64 limbs rather than the 10x26 word boundaries inherited from FieldVal, remove the inconsistent TestField64ReductionCarry, and ensure the operations remain constant time, along with assorted small fixes.
This moves some of the FieldVal64 benchmarks to match the order definition in the 10x26 field for consistency.
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This requires #3708.
This adds some additional benchmarks for the new
FieldVal64type and performs a bit of light cleanup while here.