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| # Parser and Interpreter for While Programs | |||
| Exemplary Java implementation of a _recursive decent parser_, an _abstract syntax tree (AST) data structure_ and a _structural recursive interpreter_ over this data structure. | |||
| The purpose of this code is to demonstrate the concepts of _syntax and semantics_. For this purpose a little and very artificial but nevertheless Turing-complete programming language was defined. | |||
| The example code in the file `mult.whl` multiplies two integers using addition: | |||
| ``` | |||
| a := 2; | |||
| b := 4; | |||
| r := 0; | |||
| while (a) { | |||
| r := r + b ; | |||
| a := a - 1 | |||
| } | |||
| ``` | |||
| ## Literate Programming Documentation | |||
| The code is documented in a literate programming style using [Atlassian Docco](https://bitbucket.org/doklovic_atlassian/atlassian-docco) | |||
| Have a look a the [Parser](https://malteschmitz.github.io/WhileInterpreter/docco/vertical/src/main/java/parser/Parser.java.html) and the [Interpreter](https://malteschmitz.github.io/WhileInterpreter/docco/vertical/src/main/java/interpreter/Interpreter.java.html) where the formal syntax and semantics are defined, too. | |||
| ## Building | |||
| The maven project can be build with | |||
| ``` | |||
| mvn compile | |||
| ``` | |||
| which compiles the Java code and automatically generates the docco documentation in `target/docco`. | |||
| Without maven you can compile the Java code manually as follows: | |||
| ``` | |||
| mkdir -p target/classes | |||
| javac -d target/classes src/main/java/*.java src/main/java/**/*.java | |||
| ``` | |||
| ## Running | |||
| You can the example code in `mult.whl` with | |||
| ``` | |||
| java -cp target/classes Main mult.whl | |||
| ``` | |||
| The expected output is | |||
| ``` | |||
| {a=0, b=4, r=8} | |||
| ``` | |||
| ## Exercise | |||
| In order to understand how this little application works, I suggest trying to extend is. For example you could try to implement the `++` operator which increments a variable. This has to be done in three steps | |||
| 1. Add a class `Increment` in the `program` package with the attribute `identifier` of type `Identifier` storing the name of the variable that will be incremented. | |||
| 2. Update the `Parser` by extending the `Stmt` rule | |||
| ``` | |||
| Stmt = ... | Id "++" | |||
| ``` | |||
| 3. Update the `Interpreter` by extending the `sem` function either by rewriting the increment operator as an assignment | |||
| ``` | |||
| sem(x "++", v) = sem(x ":=" x "+" 1, v) | |||
| ``` | |||
| or by directly applying the incrementation | |||
| ``` | |||
| sem(x "++", v) = v.update(x, v(x) + 1) | |||
| ``` | |||