diff options
Diffstat (limited to 'godel/grammar.peg')
-rw-r--r-- | godel/grammar.peg | 77 |
1 files changed, 77 insertions, 0 deletions
diff --git a/godel/grammar.peg b/godel/grammar.peg new file mode 100644 index 0000000..a66d5a5 --- /dev/null +++ b/godel/grammar.peg @@ -0,0 +1,77 @@ +Program = lines: (ProgramInstruction / (_/[\n]))* { + return { instructions: lines.filter((line) => typeof line !== "string" || line.trim() != "") }; +} + +ProgramInstruction = _? instruction: (LabeledInstruction / Instruction) _? [\n]? { + let x = 0; + let y = 0; + if (instruction.label) { + x = instruction.label.godel; + y = instruction.instruction.godel; + } else { + y = instruction.godel; + } + return { instruction, godel: ((2 ** x) * ((2 * y) + 1) - 1) }; +} + +LabeledInstruction = label:Label _ instruction:Instruction { + return { label, instruction }; +} + +Label = "[" _? label:LABEL_V _? "]" { + return label; +} + +Instruction = conditional: Conditional { return { conditional, godel: conditional.godel }; } + / assignment: Assignment { return { assignment, godel: assignment.godel }; } + / goto: Goto { return { goto, godel: goto.godel }; } + +Goto = GOTO _ label: LABEL_V { + return { label, godel: label.godel + 2 }; +} + +Conditional = "IF" _ variable: VAR _? "!=" _? "0" _ goto: Goto { + const y = variable.godel - 1; + const x = goto.godel; + return { variable, goto, godel: ((2 ** x) * ((2 * y) + 1) - 1) }; +} + +Assignment = variable: VAR _ "<-" _ expr: Expression { + if (expr.left.symbol != variable.symbol) { + error("left hand variable must match right hand"); + } + const x = expr.instructionNumber; + const y = variable.godel - 1; + return { variable, expr, godel: ((2 ** x) * ((2 * y) + 1) - 1) }; +} + +Expression = left: VAR _ opr: OPERATION _ "1" { + const instructionNumber = { "+" : 1, "-" : 2 }[opr]; + return { left, opr, instructionNumber }; +} / left: VAR { + return { left, instructionNumber: 0 }; +} + +VAR = symbol:"Y" { return { symbol, godel: 1 }; } / symbol:("X" / "Z") ind:Integer+ { + const index = parseInt(ind); + const order = ["X", "Z"]; + const godel = index * order.length + order.indexOf(symbol); + return { symbol: symbol + ind, godel }; +} + +GOTO = "GOTO" + +OPERATION = "+" / "-" + +LABEL_V = symbol:END_LABEL { return symbol } / symbol:[A-E] ind:Integer+ { + const index = parseInt(ind); + const godel = (symbol.charCodeAt(0) - "A".charCodeAt(0) + 1) + 5*(index-1); + return { symbol: symbol + ind, godel }; +} + +END_LABEL = "E1" + +Integer "integer" + = [0-9]+ { return parseInt(text(), 10); } + +_ "whitespace" = [ \t]+ { } |