This commit introduces direct function implementations for various scalar and field operations, including addition, multiplication, normalization, and serialization. These changes aim to optimize performance by avoiding interface dispatch and reducing allocations. Additionally, the existing methods are updated to utilize these new direct functions, enhancing overall efficiency in the secp256k1 library.
This commit introduces a new benchmark function, `BenchmarkSchnorrVerify`, in `schnorr_test.go` to evaluate the performance of the Schnorr signature verification process. Additionally, it optimizes the `SchnorrVerify` function in `schnorr.go` by implementing a global precomputed context, reducing overhead during verification calls. The changes aim to enhance performance and provide insights into the efficiency of the verification process.
This commit introduces a new markdown file, `VERIFY_OPTIMIZATION_ANALYSIS.md`, detailing the performance comparison between the C and Go implementations of the `secp256k1_schnorrsig_verify` function. It highlights the use of the optimized Strauss-WNAF algorithm in C, which significantly enhances performance through interleaved operations and scalar splitting. The analysis recommends implementing similar optimizations in the Go version to improve its efficiency, including WNAF conversion and GLV endomorphism scalar splitting.
This commit introduces a new file, `verify.go`, which implements the Schnorr signature verification logic, ensuring compliance with BIP-340. It includes utility functions for memory operations and big-endian read/write, enhancing the overall functionality of the Schnorr signature implementation. Additionally, a new test file, `verify_test.go`, is added to validate the correctness of the verification process against existing implementations, covering various scenarios including valid and invalid signatures. These additions improve the robustness and reliability of the Schnorr signature features in the library.
