Theory, examples of reversible parsers?

Question

Does anyone out there know about examples and the theory behind parsers that will take (maybe) an abstract syntax tree and produce code, instead of vice-versa. Mathematicall

Answer 1

Our DMS Software Reengineering Toolkit insists on parsers and parser-inverses (called "prettyprinters") as "poker-ante" to mechanical processing (analyzing/transforming) of arbitrary languages. These provide full round-trip: source text to ASTs with captured position information (file/line/column) and comments, and AST to legal source text including regenerating the original token positions ("fidelity printing") or nicely formatted ("prettyprinting") options, including regeneration of the comments.

Parsers are often specified by a combination of grammars and lexical definitions of tokens; these notations are typically compiled into efficient parsing engines, and DMS does that for the "parser" side, as you might expect. Other folks here suggest that a "visitor" is the way to do prettyprinting, and, like assembly code, it is the right way to implement prettyprinting at the lowest level of abstraction. However, DMS prettyprinters are specified in terms of a text-box construction language over grammar terms something like Latex, that enables one to control the placement of the various language elements horizontally, vertically, embedded, spaced, concatenated, laminated, etc. DMS compiles these into efficient low-level visitors (as other answers suggest) that implement the box generation. But like the parser generator, you don't have see all the ugly detail.

DMS has some 30+ sets of these language front ends for a various programming langauge and formal notations, ranging from C++, C, Java, C#, COBOL, etc. to HTML, XML, assembly languages from some machines, temporaral property specifications, specs for composable abstract algebras, etc.