Finite Field Assembly:Emulate GPU on CPU Introduction

FF-asm works by leveraging the mathematical theory of congruences and primes to perform multiple calculations simultaneously through recursive computing. It uses custom finite fields that support operations like addition and multiplication using unsigned integers. The system represents data as elements in finite fields and performs operations on these fields using concepts from number theory. For example, when adding two arrays of numbers, instead of processing them sequentially or through traditional parallel methods, FF-asm converts the operations into a series of nested calculations within finite fields. This allows multiple computations to be performed simultaneously through mathematical properties rather than hardware parallelism. The language includes specialized functions for memory allocation (ff_asmMalloc), field operations (ff_asmAdd, ff_asmMultiply), and data management within these finite fields.