Files
lambda/pkg/convert/saccharine_to_lambda.go

62 lines
1.5 KiB
Go

package convert
import (
"fmt"
"git.maximhutz.com/max/lambda/pkg/lambda"
"git.maximhutz.com/max/lambda/pkg/saccharine/ast"
)
func convertAtom(n *ast.Atom) lambda.Expression {
return lambda.NewVariable(n.Name)
}
func convertAbstraction(n *ast.Abstraction) lambda.Expression {
result := SaccharineToLambda(n.Body)
parameters := n.Parameters
// If the function has no parameters, it is a thunk. Lambda calculus still
// requires _some_ parameter exists, so generate one.
if len(parameters) == 0 {
freeVars := lambda.GetFreeVariables(result)
freshName := lambda.GenerateFreshName(freeVars)
parameters = append(parameters, freshName)
}
for i := len(parameters) - 1; i >= 0; i-- {
result = lambda.NewAbstraction(parameters[i], result)
}
return result
}
func convertApplication(n *ast.Application) lambda.Expression {
result := SaccharineToLambda(n.Abstraction)
arguments := []lambda.Expression{}
for _, argument := range n.Arguments {
convertedArgument := SaccharineToLambda(argument)
arguments = append(arguments, convertedArgument)
}
for _, argument := range arguments {
result = lambda.NewApplication(result, argument)
}
return result
}
func SaccharineToLambda(n ast.Expression) lambda.Expression {
switch n := n.(type) {
case *ast.Atom:
return convertAtom(n)
case *ast.Abstraction:
return convertAbstraction(n)
case *ast.Application:
return convertApplication(n)
default:
panic(fmt.Errorf("unknown expression type: %T", n))
}
}