This commit introduces several optimizations for elliptic curve operations in the secp256k1 library. Key changes include the implementation of the `ecmultStraussGLV` function for efficient scalar multiplication using the Strauss algorithm with GLV endomorphism, and the addition of windowed multiplication techniques to improve performance. Additionally, the benchmark tests have been updated to focus on the P256K1Signer implementation, streamlining the comparison process and enhancing clarity in performance evaluations.
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 updates the `EcmultConst` function to use a simple binary method for constant-time multiplication, addressing issues with the previous GLV implementation. Additionally, a new `glv.go` file is introduced, containing GLV endomorphism constants and functions, including `scalarSplitLambda` and `geMulLambda`. Comprehensive tests for these functions are added in `glv_test.go`, ensuring correctness and performance. The `boolToInt` helper function is also moved to `field.go`, and unnecessary code is removed from `scalar.go` to streamline the codebase.
This commit introduces a new test file for context management, covering various scenarios for context creation, destruction, and capabilities. Additionally, it implements the generator multiplication context, enhancing the secp256k1 elliptic curve operations. The changes ensure comprehensive testing and improved functionality for context handling, contributing to the overall robustness of the implementation.
