Developing a domain-specific language for geometry problems

Abstract

The development of a domain-specific language (DSL) designed for geometric problems aims to streamline the process of formulating and solving mathematical and computational geometry challenges. This paper presents the design, implementation, and applications of DSL, which offers intuitive syntax and functionality to address a wide range of geometric scenarios. The DSL is specifically crafted to accommodate various use cases prevalent in fields such as computer graphics, computational geometry, robotics, and architectural design. The language enables users to express geometric concepts, operations, and algorithms, facilitating rapid prototyping, analysis, and visualization of geometric data. The lexer and parser components handle lexical considerations, providing error handling and efficient parsing of geometric expressions. Furthermore, the language incorporates a rich set of primitives, functions, and operators made for common geometric tasks, including point, line, polygon, and transformation manipulation. This paper details the language's grammar, lexical considerations, lexer, and parser components, offering insights into its design principles and implementation specifics.