Module basic_operations 

Basic SIMD Vector Operations

Fundamental vector operations optimized with SIMD instructions including dot products, norms, distance calculations, and basic linear algebra operations.

Features

• Dot Product: SIMD-optimized dot product with platform-specific implementations
• Vector Norms: L1, L2, and infinity norms with high performance
• Distance Metrics: Euclidean, Manhattan, and cosine distance/similarity
• Advanced Operations: Cross product and outer product for linear algebra
• Multi-Platform: SSE2, AVX2, AVX512, and NEON optimizations
• Scalar Fallbacks: Automatic fallback to scalar operations when needed

Implementation Details

All functions automatically detect the best available SIMD instruction set and provide graceful fallback to scalar implementations. The functions are designed to handle arbitrary vector lengths efficiently by processing SIMD-sized chunks and handling remainders appropriately.

Functions

cosine_similarity

SIMD-optimized cosine similarity computation

cross_product

SIMD-optimized cross product for 3D vectors

dot_product

SIMD-optimized dot product computation

euclidean_distance

SIMD-optimized Euclidean distance computation

norm_inf

SIMD-optimized infinity norm computation

norm_l1

SIMD-optimized L1 norm (Manhattan norm) computation

norm_l2

SIMD-optimized L2 norm (Euclidean norm) computation

outer_product

SIMD-optimized outer product computation