docs: document remaining packages and simplify AST types (#45)
## Summary - Added doc comments across the codebase: `pkg/lambda`, `pkg/saccharine`, `pkg/codec`, `pkg/engine`, `pkg/iterator`, `pkg/set`, `pkg/convert`, `internal/registry`, and `cmd/lambda`. - Made lambda and saccharine expression structs use public fields instead of getters, matching `go/ast` conventions. - Removed superfluous constructors for saccharine and lambda expression/statement types in favor of struct literals. - Consolidated saccharine token constructors into a single `NewToken` function. - Removed the unused `trace` package. ## Test plan - [x] `go build ./...` passes. - [x] `go test ./...` passes. - [ ] Verify `go doc` output renders correctly for documented packages. Reviewed-on: #45 Co-authored-by: M.V. Hutz <git@maximhutz.me> Co-committed-by: M.V. Hutz <git@maximhutz.me>
This commit was merged in pull request #45.
This commit is contained in:
@@ -1,3 +1,4 @@
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// Package main defines the 'lambda' command-line interface (CLI).
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package main
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import (
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@@ -9,7 +9,7 @@ func LambdaEngine() *cobra.Command {
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Use: "engine",
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Aliases: []string{"eng"},
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Short: "Information about available engines",
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RunE: func(cmd *cobra.Command, args []string) error {
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RunE: func(cmd *cobra.Command, _ []string) error {
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return cmd.Help()
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},
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}
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@@ -11,7 +11,7 @@ func LambdaEngineList() *cobra.Command {
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Use: "list",
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Aliases: []string{"ls"},
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Short: "List available engines",
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RunE: func(cmd *cobra.Command, args []string) error {
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RunE: func(*cobra.Command, []string) error {
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r := GetRegistry()
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for engine := range r.ListEngines() {
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@@ -19,8 +19,8 @@ func GetRegistry() *registry.Registry {
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(registry.RegisterEngine(r, normalorder.NewProcess, "normalorder", "lambda"))
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// Marshalers
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(registry.RegisterCodec(r, lambda.Marshaler{}, "lambda"))
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(registry.RegisterCodec(r, saccharine.Marshaler{}, "saccharine"))
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(registry.RegisterCodec(r, lambda.Codec{}, "lambda"))
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(registry.RegisterCodec(r, saccharine.Codec{}, "saccharine"))
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return r
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}
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@@ -7,18 +7,24 @@ import (
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"git.maximhutz.com/max/lambda/pkg/codec"
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)
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// A Codec is a type-erased codec that serializes and deserializes expressions
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// as Expr values, regardless of the underlying representation type.
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type Codec interface {
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codec.Codec[Expr]
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// InType returns the name of the representation this codec handles.
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InType() string
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}
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type convertedCodec[T any] struct {
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// A registeredCodec adapts a typed codec.Codec[T] into the type-erased Codec
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// interface. It wraps decoded values into Expr on decode, and extracts the
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// underlying T from an Expr on encode.
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type registeredCodec[T any] struct {
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codec codec.Codec[T]
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inType string
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}
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func (c convertedCodec[T]) Decode(s string) (Expr, error) {
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func (c registeredCodec[T]) Decode(s string) (Expr, error) {
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t, err := c.codec.Decode(s)
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if err != nil {
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return nil, err
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@@ -27,7 +33,7 @@ func (c convertedCodec[T]) Decode(s string) (Expr, error) {
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return NewExpr(c.inType, t), nil
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}
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func (c convertedCodec[T]) Encode(r Expr) (string, error) {
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func (c registeredCodec[T]) Encode(r Expr) (string, error) {
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t, ok := r.Data().(T)
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if !ok {
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dataType := reflect.TypeOf(r.Data())
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@@ -38,13 +44,15 @@ func (c convertedCodec[T]) Encode(r Expr) (string, error) {
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return c.codec.Encode(t)
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}
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func (c convertedCodec[T]) InType() string { return c.inType }
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func (c registeredCodec[T]) InType() string { return c.inType }
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// RegisterCodec registers a typed codec under the given representation name.
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// Returns an error if a codec for that representation is already registered.
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func RegisterCodec[T any](registry *Registry, m codec.Codec[T], inType string) error {
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if _, ok := registry.codecs[inType]; ok {
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return fmt.Errorf("Codec for '%s' already registered", inType)
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}
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registry.codecs[inType] = convertedCodec[T]{m, inType}
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registry.codecs[inType] = registeredCodec[T]{m, inType}
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return nil
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}
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@@ -6,19 +6,29 @@ import (
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"git.maximhutz.com/max/lambda/pkg/codec"
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)
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// A Conversion is a type-erased transformation from one representation to
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// another. It operates on Expr values, hiding the underlying representation
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// types.
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type Conversion interface {
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// InType returns the name of the source representation.
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InType() string
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// OutType returns the name of the target representation.
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OutType() string
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// Run applies the conversion to the given expression. Returns an error if
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// the expression's data does not match the expected source type.
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Run(Expr) (Expr, error)
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}
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type convertedConversion[T, U any] struct {
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// A registeredConversion adapts a typed codec.Conversion[T, U] into the
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// type-erased Conversion interface. It extracts the underlying T from an Expr,
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// applies the conversion, and wraps the result as a new Expr.
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type registeredConversion[T, U any] struct {
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conversion codec.Conversion[T, U]
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inType, outType string
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}
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func (c convertedConversion[T, U]) Run(expr Expr) (Expr, error) {
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func (c registeredConversion[T, U]) Run(expr Expr) (Expr, error) {
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t, ok := expr.Data().(T)
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if !ok {
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return nil, fmt.Errorf("could not parse '%v' as '%s'", t, c.inType)
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@@ -32,12 +42,18 @@ func (c convertedConversion[T, U]) Run(expr Expr) (Expr, error) {
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return NewExpr(c.outType, u), nil
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}
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func (c convertedConversion[T, U]) InType() string { return c.inType }
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func (c registeredConversion[T, U]) InType() string { return c.inType }
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func (c convertedConversion[T, U]) OutType() string { return c.outType }
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func (c registeredConversion[T, U]) OutType() string { return c.outType }
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func RegisterConversion[T, U any](registry *Registry, conversion func(T) (U, error), inType, outType string) error {
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registry.converter.Add(convertedConversion[T, U]{conversion, inType, outType})
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// RegisterConversion registers a typed conversion function between two
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// representations.
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func RegisterConversion[T, U any](
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registry *Registry,
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conversion codec.Conversion[T, U],
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inType, outType string,
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) error {
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registry.converter.Add(registeredConversion[T, U]{conversion, inType, outType})
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return nil
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}
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@@ -1,13 +1,18 @@
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package registry
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// A Converter is a directed graph of conversions between representations. Each
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// node is a representation name, and each edge is a Conversion.
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type Converter struct {
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data map[string][]Conversion
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}
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// NewConverter creates an empty Converter with no registered conversions.
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func NewConverter() *Converter {
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return &Converter{data: map[string][]Conversion{}}
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}
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// Add registers a conversion, adding an edge from its source representation
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// to its target representation.
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func (g *Converter) Add(c Conversion) {
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conversionsFromIn, ok := g.data[c.InType()]
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if !ok {
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@@ -18,6 +23,8 @@ func (g *Converter) Add(c Conversion) {
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g.data[c.InType()] = conversionsFromIn
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}
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// ConversionsFrom returns all conversions that have the given representation
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// as their source type.
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func (g *Converter) ConversionsFrom(t string) []Conversion {
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return g.data[t]
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}
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@@ -6,26 +6,36 @@ import (
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"git.maximhutz.com/max/lambda/pkg/engine"
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)
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// An Engine is a type-erased evaluation engine that can load an expression
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// into a runnable Process.
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type Engine interface {
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// Load prepares an expression for evaluation, returning a Process. Returns
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// an error if the expression's data does not match the engine's expected
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// representation type.
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Load(Expr) (Process, error)
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// Name returns the name of this engine.
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Name() string
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// InType returns the name of the representation this engine operates on.
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InType() string
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}
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type convertedEngine[T any] struct {
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// A registeredEngine adapts a typed engine.Engine[T] into the type-erased
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// Engine interface. It extracts the underlying T from an Expr before passing it
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// to the engine.
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type registeredEngine[T any] struct {
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engine engine.Engine[T]
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name string
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inType string
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}
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func (e convertedEngine[T]) InType() string { return e.inType }
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func (e registeredEngine[T]) InType() string { return e.inType }
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func (e convertedEngine[T]) Name() string { return e.name }
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func (e registeredEngine[T]) Name() string { return e.name }
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func (e convertedEngine[T]) Load(expr Expr) (Process, error) {
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func (e registeredEngine[T]) Load(expr Expr) (Process, error) {
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t, ok := expr.Data().(T)
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if !ok {
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return nil, fmt.Errorf("'ncorrent format '%s' for engine '%s'", expr.Repr(), e.inType)
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return nil, fmt.Errorf("incorrect format '%s' for engine '%s'", expr.Repr(), e.inType)
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}
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process, err := e.engine(t)
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@@ -33,14 +43,16 @@ func (e convertedEngine[T]) Load(expr Expr) (Process, error) {
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return nil, err
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}
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return convertedProcess[T]{process, e.inType}, nil
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return registeredProcess[T]{process, e.inType}, nil
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}
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// RegisterEngine registers a typed engine under the given name. Returns an
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// error if an engine with that name is already registered.
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func RegisterEngine[T any](registry *Registry, e engine.Engine[T], name, inType string) error {
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if _, ok := registry.engines[name]; ok {
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return fmt.Errorf("engine '%s' already registered", name)
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}
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registry.engines[name] = &convertedEngine[T]{e, name, inType}
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registry.engines[name] = ®isteredEngine[T]{e, name, inType}
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return nil
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}
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@@ -1,24 +1,26 @@
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package registry
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// A Expr is a lambda calculus expression. It can have any type of
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// Expresentation, so long as that class is known to the registry it is handled
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// An Expr is a type-erased lambda calculus expression. It can have any type of
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// representation, so long as that type is known to the registry it is handled
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// by.
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type Expr interface {
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// Repr returns the name of the underlying Expresentation. It is assumed if
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// two expressions have the same Repr(), they have the same Expresentation.
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// Repr returns the name of the underlying representation. Two expressions
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// with the same Repr() are assumed to have the same representation type.
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Repr() string
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// The base expression data.
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// Data returns the underlying expression data.
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Data() any
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}
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// A baseExpr is the default implementation of Expr.
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type baseExpr struct {
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id string
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data any
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}
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func (r baseExpr) Repr() string { return r.id }
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func (e baseExpr) Repr() string { return e.id }
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func (r baseExpr) Data() any { return r.data }
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func (e baseExpr) Data() any { return e.data }
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// NewExpr creates an Expr with the given representation name and data.
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func NewExpr(id string, data any) Expr { return baseExpr{id, data} }
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@@ -4,28 +4,32 @@ import (
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"git.maximhutz.com/max/lambda/pkg/engine"
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)
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// A Process is a type-erased reduction process that operates on Expr values.
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type Process interface {
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engine.Process[Expr]
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// InType returns the name of the representation this process operates on.
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InType() string
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}
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type convertedProcess[T any] struct {
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// A registeredProcess adapts a typed engine.Process[T] into the type-erased
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// Process interface. It wraps the result of Get into an Expr.
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type registeredProcess[T any] struct {
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process engine.Process[T]
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inType string
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}
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func (e convertedProcess[T]) InType() string { return e.inType }
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func (p registeredProcess[T]) InType() string { return p.inType }
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func (b convertedProcess[T]) Get() (Expr, error) {
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s, err := b.process.Get()
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func (p registeredProcess[T]) Get() (Expr, error) {
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s, err := p.process.Get()
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if err != nil {
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return nil, err
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}
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return NewExpr(b.inType, s), nil
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return NewExpr(p.inType, s), nil
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}
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func (b convertedProcess[T]) Step(i int) bool {
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return b.process.Step(i)
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func (p registeredProcess[T]) Step(i int) bool {
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return p.process.Step(i)
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}
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@@ -1,3 +1,5 @@
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// Package registry defines a structure to hold all available representations,
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// engines, and conversions between them.
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package registry
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import (
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@@ -6,12 +8,15 @@ import (
|
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"maps"
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)
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|
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// A Registry holds all representations, conversions, codecs, and engines
|
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// available to the program.
|
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type Registry struct {
|
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codecs map[string]Codec
|
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converter *Converter
|
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engines map[string]Engine
|
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}
|
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|
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// New makes an empty registry.
|
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func New() *Registry {
|
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return &Registry{
|
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codecs: map[string]Codec{},
|
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@@ -20,6 +25,8 @@ func New() *Registry {
|
||||
}
|
||||
}
|
||||
|
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// GetEngine finds an engine based on its name. Returns an error if an engine
|
||||
// with that name cannot be found.
|
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func (r Registry) GetEngine(name string) (Engine, error) {
|
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e, ok := r.engines[name]
|
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if !ok {
|
||||
@@ -29,10 +36,13 @@ func (r Registry) GetEngine(name string) (Engine, error) {
|
||||
return e, nil
|
||||
}
|
||||
|
||||
// ListEngines returns all available engines to the registry.
|
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func (r Registry) ListEngines() iter.Seq[Engine] {
|
||||
return maps.Values(r.engines)
|
||||
}
|
||||
|
||||
// GetDefaultEngine infers the preferred engine for a representation. Returns an
|
||||
// error if one cannot be chosen.
|
||||
func (r *Registry) GetDefaultEngine(id string) (Engine, error) {
|
||||
for _, engine := range r.engines {
|
||||
if engine.InType() == id {
|
||||
@@ -45,6 +55,12 @@ func (r *Registry) GetDefaultEngine(id string) (Engine, error) {
|
||||
// return nil, fmt.Errorf("no engine for '%s'", id)
|
||||
}
|
||||
|
||||
// ConvertTo attempts to convert an expression of one type of representation to
|
||||
// another. Returns the converted expression, otherwise an error.
|
||||
//
|
||||
// It can convert between any two types of representations, given there is a
|
||||
// valid conversion path between them. It uses BFS to traverse a graph of
|
||||
// conversion edges, and converts along the shortest path.
|
||||
func (r *Registry) ConvertTo(expr Expr, outType string) (Expr, error) {
|
||||
path, err := r.ConversionPath(expr.Repr(), outType)
|
||||
if err != nil {
|
||||
@@ -62,6 +78,8 @@ func (r *Registry) ConvertTo(expr Expr, outType string) (Expr, error) {
|
||||
return result, err
|
||||
}
|
||||
|
||||
// Marshal serializes an expression, given that representation has a codec.
|
||||
// Returns an error if the representation is not registered, or it has no codec.
|
||||
func (r *Registry) Marshal(expr Expr) (string, error) {
|
||||
m, ok := r.codecs[expr.Repr()]
|
||||
if !ok {
|
||||
@@ -71,6 +89,8 @@ func (r *Registry) Marshal(expr Expr) (string, error) {
|
||||
return m.Encode(expr)
|
||||
}
|
||||
|
||||
// Unmarshal deserializes an expression. Returns an error if the representation
|
||||
// or a codec for it is not registered.
|
||||
func (r *Registry) Unmarshal(s string, outType string) (Expr, error) {
|
||||
m, ok := r.codecs[outType]
|
||||
if !ok {
|
||||
@@ -94,6 +114,9 @@ func reverse[T any](list []T) []T {
|
||||
return reversed
|
||||
}
|
||||
|
||||
// ConversionPath attempts to find a set of valid conversions that (if applied)
|
||||
// convert one representation to another. Returns an error if no path can be
|
||||
// found.
|
||||
func (r *Registry) ConversionPath(from, to string) ([]Conversion, error) {
|
||||
backtrack := map[string]Conversion{}
|
||||
iteration := []string{from}
|
||||
|
||||
@@ -1,8 +1,20 @@
|
||||
// Package codec defines processes to convert between different representations
|
||||
// of lambda calculus, and serialize the different representations.
|
||||
package codec
|
||||
|
||||
// A Conversion is a function that turns one representation into another.
|
||||
// Returns an error if the input expression cannot be converted.
|
||||
type Conversion[T, U any] = func(T) (U, error)
|
||||
|
||||
// A Codec is an object that can serialize/deserialize one type of
|
||||
// representation. It is assumed that for any x ∋ T, Decode(Encode(x)) = x.
|
||||
type Codec[T any] interface {
|
||||
// Encode takes an expression, and returns its serialized format, as a
|
||||
// string. Returns an error if the expression cannot be serialized.
|
||||
Encode(T) (string, error)
|
||||
|
||||
// Decode takes the serialized format of an expression, and returns its true
|
||||
// value. Returns an error if the string doesn't correctly represent any
|
||||
// valid expression.
|
||||
Decode(string) (T, error)
|
||||
}
|
||||
|
||||
@@ -1,3 +1,5 @@
|
||||
// Package convert defined some standard conversions between various types of
|
||||
// representations.
|
||||
package convert
|
||||
|
||||
import (
|
||||
@@ -8,7 +10,7 @@ import (
|
||||
)
|
||||
|
||||
func encodeAtom(n *saccharine.Atom) lambda.Expression {
|
||||
return lambda.NewVariable(n.Name)
|
||||
return lambda.Variable{Name: n.Name}
|
||||
}
|
||||
|
||||
func encodeAbstraction(n *saccharine.Abstraction) lambda.Expression {
|
||||
@@ -19,13 +21,13 @@ func encodeAbstraction(n *saccharine.Abstraction) lambda.Expression {
|
||||
// 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 := result.GetFree()
|
||||
freeVars := lambda.GetFree(result)
|
||||
freshName := lambda.GenerateFreshName(freeVars)
|
||||
parameters = append(parameters, freshName)
|
||||
}
|
||||
|
||||
for i := len(parameters) - 1; i >= 0; i-- {
|
||||
result = lambda.NewAbstraction(parameters[i], result)
|
||||
result = lambda.Abstraction{Parameter: parameters[i], Body: result}
|
||||
}
|
||||
|
||||
return result
|
||||
@@ -41,7 +43,7 @@ func encodeApplication(n *saccharine.Application) lambda.Expression {
|
||||
}
|
||||
|
||||
for _, argument := range arguments {
|
||||
result = lambda.NewApplication(result, argument)
|
||||
result = lambda.Application{Abstraction: result, Argument: argument}
|
||||
}
|
||||
|
||||
return result
|
||||
@@ -53,22 +55,22 @@ func reduceLet(s *saccharine.LetStatement, e lambda.Expression) lambda.Expressio
|
||||
if len(s.Parameters) == 0 {
|
||||
value = encodeExpression(s.Body)
|
||||
} else {
|
||||
value = encodeAbstraction(saccharine.NewAbstraction(s.Parameters, s.Body))
|
||||
value = encodeAbstraction(&saccharine.Abstraction{Parameters: s.Parameters, Body: s.Body})
|
||||
}
|
||||
|
||||
return lambda.NewApplication(
|
||||
lambda.NewAbstraction(s.Name, e),
|
||||
value,
|
||||
)
|
||||
return lambda.Application{
|
||||
Abstraction: lambda.Abstraction{Parameter: s.Name, Body: e},
|
||||
Argument: value,
|
||||
}
|
||||
}
|
||||
|
||||
func reduceDeclare(s *saccharine.DeclareStatement, e lambda.Expression) lambda.Expression {
|
||||
freshVar := lambda.GenerateFreshName(e.GetFree())
|
||||
freshVar := lambda.GenerateFreshName(lambda.GetFree(e))
|
||||
|
||||
return lambda.NewApplication(
|
||||
lambda.NewAbstraction(freshVar, e),
|
||||
encodeExpression(s.Value),
|
||||
)
|
||||
return lambda.Application{
|
||||
Abstraction: lambda.Abstraction{Parameter: freshVar, Body: e},
|
||||
Argument: encodeExpression(s.Value),
|
||||
}
|
||||
}
|
||||
|
||||
func reduceStatement(s saccharine.Statement, e lambda.Expression) lambda.Expression {
|
||||
@@ -110,24 +112,27 @@ func encodeExpression(s saccharine.Expression) lambda.Expression {
|
||||
func decodeExression(l lambda.Expression) saccharine.Expression {
|
||||
switch l := l.(type) {
|
||||
case lambda.Variable:
|
||||
return saccharine.NewAtom(l.Name())
|
||||
return &saccharine.Atom{Name: l.Name}
|
||||
case lambda.Abstraction:
|
||||
return saccharine.NewAbstraction(
|
||||
[]string{l.Parameter()},
|
||||
decodeExression(l.Body()))
|
||||
return &saccharine.Abstraction{
|
||||
Parameters: []string{l.Parameter},
|
||||
Body: decodeExression(l.Body)}
|
||||
case lambda.Application:
|
||||
return saccharine.NewApplication(
|
||||
decodeExression(l.Abstraction()),
|
||||
[]saccharine.Expression{decodeExression(l.Argument())})
|
||||
return &saccharine.Application{
|
||||
Abstraction: decodeExression(l.Abstraction),
|
||||
Arguments: []saccharine.Expression{decodeExression(l.Argument)}}
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %T", l))
|
||||
}
|
||||
}
|
||||
|
||||
// Lambda2Saccharine converts a pure lambda calculus expression into its
|
||||
// Saccharine counterpart.
|
||||
func Lambda2Saccharine(l lambda.Expression) (saccharine.Expression, error) {
|
||||
return decodeExression(l), nil
|
||||
}
|
||||
|
||||
// Saccharine2Lambda desugars a saccharine expression into pure lambda calculus.
|
||||
func Saccharine2Lambda(s saccharine.Expression) (lambda.Expression, error) {
|
||||
return encodeExpression(s), nil
|
||||
}
|
||||
|
||||
@@ -2,11 +2,17 @@
|
||||
// expression.
|
||||
package engine
|
||||
|
||||
// A Process handles the reduction of a
|
||||
// A Process handles the reduction of a single expression.
|
||||
type Process[T any] interface {
|
||||
// Get the current state of the process.
|
||||
// Returns an error if the current state cannot be represented.
|
||||
Get() (T, error)
|
||||
|
||||
// Step performs reduction(s) on the representation. If the number of steps
|
||||
// defined is less than zero, it will perform as many reductions as
|
||||
// possible. Returns whether a reduction was performed.
|
||||
Step(int) bool
|
||||
}
|
||||
|
||||
// An Engine is an object that handles
|
||||
// An Engine is an function that generates reduction processes.
|
||||
type Engine[T any] = func(T) (Process[T], error)
|
||||
|
||||
@@ -10,25 +10,25 @@ import "git.maximhutz.com/max/lambda/pkg/lambda"
|
||||
func ReduceOnce(e lambda.Expression) (lambda.Expression, bool) {
|
||||
switch e := e.(type) {
|
||||
case lambda.Abstraction:
|
||||
body, reduced := ReduceOnce(e.Body())
|
||||
body, reduced := ReduceOnce(e.Body)
|
||||
if reduced {
|
||||
return lambda.NewAbstraction(e.Parameter(), body), true
|
||||
return lambda.Abstraction{Parameter: e.Parameter, Body: body}, true
|
||||
}
|
||||
return e, false
|
||||
|
||||
case lambda.Application:
|
||||
if fn, fnOk := e.Abstraction().(lambda.Abstraction); fnOk {
|
||||
return fn.Body().Substitute(fn.Parameter(), e.Argument()), true
|
||||
if fn, fnOk := e.Abstraction.(lambda.Abstraction); fnOk {
|
||||
return lambda.Substitute(fn.Body, fn.Parameter, e.Argument), true
|
||||
}
|
||||
|
||||
abs, reduced := ReduceOnce(e.Abstraction())
|
||||
abs, reduced := ReduceOnce(e.Abstraction)
|
||||
if reduced {
|
||||
return lambda.NewApplication(abs, e.Argument()), true
|
||||
return lambda.Application{Abstraction: abs, Argument: e.Argument}, true
|
||||
}
|
||||
|
||||
arg, reduced := ReduceOnce(e.Argument())
|
||||
arg, reduced := ReduceOnce(e.Argument)
|
||||
if reduced {
|
||||
return lambda.NewApplication(e.Abstraction(), arg), true
|
||||
return lambda.Application{Abstraction: e.Abstraction, Argument: arg}, true
|
||||
}
|
||||
|
||||
return e, false
|
||||
|
||||
@@ -1,35 +1,37 @@
|
||||
/*
|
||||
Package "iterator"
|
||||
*/
|
||||
// Package iterator defines a generic way to iterator over a slice of data.
|
||||
package iterator
|
||||
|
||||
import "fmt"
|
||||
|
||||
// An iterator over slices.
|
||||
// An Iterator traverses over slices.
|
||||
type Iterator[T any] struct {
|
||||
items []T
|
||||
index int
|
||||
}
|
||||
|
||||
// Create a new iterator, over a set of items.
|
||||
// Of creates a new iterator, over a set of defined items.
|
||||
func Of[T any](items []T) *Iterator[T] {
|
||||
return &Iterator[T]{items: items, index: 0}
|
||||
}
|
||||
|
||||
// Returns the current position of the iterator.
|
||||
// Index returns the current position of the iterator.
|
||||
func (i Iterator[T]) Index() int {
|
||||
return i.index
|
||||
}
|
||||
|
||||
// Copy returns a identical clone of the iterator. The underlying data structure
|
||||
// is not cloned.
|
||||
func (i Iterator[T]) Copy() *Iterator[T] {
|
||||
return &Iterator[T]{items: i.items, index: i.index}
|
||||
}
|
||||
|
||||
// Sync returns the iterator to the position of another. It is assumed that the
|
||||
// iterators both operate on the same set of data.
|
||||
func (i *Iterator[T]) Sync(o *Iterator[T]) {
|
||||
i.index = o.index
|
||||
}
|
||||
|
||||
// Create a new iterator, over a set of items.
|
||||
// Get returns the datum at the current position of the iterator.
|
||||
func (i Iterator[T]) Get() (T, error) {
|
||||
var null T
|
||||
if i.Done() {
|
||||
@@ -39,6 +41,7 @@ func (i Iterator[T]) Get() (T, error) {
|
||||
return i.items[i.index], nil
|
||||
}
|
||||
|
||||
// MustGet is a version of Get, that panics if the datum cannot be returned.
|
||||
func (i Iterator[T]) MustGet() T {
|
||||
var null T
|
||||
if i.Done() {
|
||||
@@ -48,13 +51,16 @@ func (i Iterator[T]) MustGet() T {
|
||||
return i.items[i.index]
|
||||
}
|
||||
|
||||
// Forward increments the iterator if the iterator is not yet at the end of the
|
||||
// slice.
|
||||
func (i *Iterator[T]) Forward() {
|
||||
if !i.Done() {
|
||||
i.index++
|
||||
}
|
||||
}
|
||||
|
||||
// Create a new iterator, over a set of items.
|
||||
// Next attempts to increment the iterator. Returns an error if it cannot be
|
||||
// incremented.
|
||||
func (i *Iterator[T]) Next() (T, error) {
|
||||
item, err := i.Get()
|
||||
if err == nil {
|
||||
@@ -64,16 +70,20 @@ func (i *Iterator[T]) Next() (T, error) {
|
||||
return item, err
|
||||
}
|
||||
|
||||
// Create a new iterator, over a set of items.
|
||||
// Back decrements the iterator. If the iterator is already at the beginning of
|
||||
// the slice, this is a no-op.
|
||||
func (i *Iterator[T]) Back() {
|
||||
i.index = max(i.index-1, 0)
|
||||
}
|
||||
|
||||
// Returns the current position of the iterator.
|
||||
// Done returns whether the iterator is at the end of the slice or not.
|
||||
func (i Iterator[T]) Done() bool {
|
||||
return i.index == len(i.items)
|
||||
}
|
||||
|
||||
// Do attempts to perform an operation using the iterator. If the operation
|
||||
// succeeds, the iterator is updated. If the operation fails, the iterator is
|
||||
// rolled back, and an error is returned.
|
||||
func Do[T any, U any](i *Iterator[T], fn func(i *Iterator[T]) (U, error)) (U, error) {
|
||||
i2 := i.Copy()
|
||||
|
||||
|
||||
@@ -6,14 +6,20 @@ import (
|
||||
"git.maximhutz.com/max/lambda/pkg/codec"
|
||||
)
|
||||
|
||||
type Marshaler struct{}
|
||||
// A Codec is a [codec.Codec] that serializes lambda calculus expressions.
|
||||
// Decode is not implemented and always returns an error.
|
||||
// Encode stringifies an expression using standard lambda notation.
|
||||
type Codec struct{}
|
||||
|
||||
func (m Marshaler) Decode(string) (Expression, error) {
|
||||
// Decode parses a string as lambda calculus. Returns an error if it cannot.
|
||||
func (m Codec) Decode(string) (Expression, error) {
|
||||
return nil, fmt.Errorf("unimplemented")
|
||||
}
|
||||
|
||||
func (m Marshaler) Encode(e Expression) (string, error) {
|
||||
return e.String(), nil
|
||||
// Encode turns a lambda calculus expression into a string. Returns an error if
|
||||
// it cannot.
|
||||
func (m Codec) Encode(e Expression) (string, error) {
|
||||
return Stringify(e), nil
|
||||
}
|
||||
|
||||
var _ codec.Codec[Expression] = (*Marshaler)(nil)
|
||||
var _ codec.Codec[Expression] = (*Codec)(nil)
|
||||
|
||||
@@ -1,100 +0,0 @@
|
||||
package lambda
|
||||
|
||||
import (
|
||||
"fmt"
|
||||
|
||||
"git.maximhutz.com/max/lambda/pkg/set"
|
||||
)
|
||||
|
||||
// Expression is the interface for all lambda calculus expression types.
|
||||
// It embeds the general expr.Expression interface for cross-mode compatibility.
|
||||
type Expression interface {
|
||||
fmt.Stringer
|
||||
|
||||
// Substitute replaces all free occurrences of the target variable with the
|
||||
// replacement expression. Alpha-renaming is performed automatically to
|
||||
// avoid variable capture.
|
||||
Substitute(target string, replacement Expression) Expression
|
||||
|
||||
// GetFree returns the set of all free variable names in the expression.
|
||||
// This function does not mutate the input expression.
|
||||
// The returned set is newly allocated and can be modified by the caller.
|
||||
GetFree() set.Set[string]
|
||||
|
||||
// Rename replaces all occurrences of the target variable name with the new name.
|
||||
Rename(target string, newName string) Expression
|
||||
|
||||
// IsFree returns true if the variable name n occurs free in the expression.
|
||||
// This function does not mutate the input expression.
|
||||
IsFree(n string) bool
|
||||
}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
type Abstraction struct {
|
||||
parameter string
|
||||
body Expression
|
||||
}
|
||||
|
||||
var _ Expression = Abstraction{}
|
||||
|
||||
func (a Abstraction) Parameter() string {
|
||||
return a.parameter
|
||||
}
|
||||
|
||||
func (a Abstraction) Body() Expression {
|
||||
return a.body
|
||||
}
|
||||
|
||||
func (a Abstraction) String() string {
|
||||
return "\\" + a.parameter + "." + a.body.String()
|
||||
}
|
||||
|
||||
func NewAbstraction(parameter string, body Expression) Abstraction {
|
||||
return Abstraction{parameter, body}
|
||||
}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
type Application struct {
|
||||
abstraction Expression
|
||||
argument Expression
|
||||
}
|
||||
|
||||
var _ Expression = Application{}
|
||||
|
||||
func (a Application) Abstraction() Expression {
|
||||
return a.abstraction
|
||||
}
|
||||
|
||||
func (a Application) Argument() Expression {
|
||||
return a.argument
|
||||
}
|
||||
|
||||
func (a Application) String() string {
|
||||
return "(" + a.abstraction.String() + " " + a.argument.String() + ")"
|
||||
}
|
||||
|
||||
func NewApplication(abstraction Expression, argument Expression) Application {
|
||||
return Application{abstraction, argument}
|
||||
}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
type Variable struct {
|
||||
name string
|
||||
}
|
||||
|
||||
var _ Expression = Variable{}
|
||||
|
||||
func (v Variable) Name() string {
|
||||
return v.name
|
||||
}
|
||||
|
||||
func (v Variable) String() string {
|
||||
return v.name
|
||||
}
|
||||
|
||||
func NewVariable(name string) Variable {
|
||||
return Variable{name}
|
||||
}
|
||||
@@ -1,19 +1,27 @@
|
||||
package lambda
|
||||
|
||||
import "git.maximhutz.com/max/lambda/pkg/set"
|
||||
import (
|
||||
"fmt"
|
||||
|
||||
func (e Variable) GetFree() set.Set[string] {
|
||||
return set.New(e.Name())
|
||||
}
|
||||
"git.maximhutz.com/max/lambda/pkg/set"
|
||||
)
|
||||
|
||||
func (e Abstraction) GetFree() set.Set[string] {
|
||||
vars := e.Body().GetFree()
|
||||
vars.Remove(e.Parameter())
|
||||
// GetFree returns the set of all free variable names in the expression.
|
||||
// This function does not mutate the input expression.
|
||||
// The returned set is newly allocated and can be modified by the caller.
|
||||
func GetFree(e Expression) set.Set[string] {
|
||||
switch e := e.(type) {
|
||||
case Variable:
|
||||
return set.New(e.Name)
|
||||
case Abstraction:
|
||||
vars := GetFree(e.Body)
|
||||
vars.Remove(e.Parameter)
|
||||
return vars
|
||||
}
|
||||
|
||||
func (e Application) GetFree() set.Set[string] {
|
||||
vars := e.Abstraction().GetFree()
|
||||
vars.Merge(e.Argument().GetFree())
|
||||
case Application:
|
||||
vars := GetFree(e.Abstraction)
|
||||
vars.Merge(GetFree(e.Argument))
|
||||
return vars
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %v", e))
|
||||
}
|
||||
}
|
||||
|
||||
@@ -1,12 +1,18 @@
|
||||
package lambda
|
||||
|
||||
func (e Variable) IsFree(n string) bool {
|
||||
return e.Name() == n
|
||||
}
|
||||
import "fmt"
|
||||
|
||||
func (e Abstraction) IsFree(n string) bool {
|
||||
return e.Parameter() != n && e.Body().IsFree(n)
|
||||
}
|
||||
func (e Application) IsFree(n string) bool {
|
||||
return e.Abstraction().IsFree(n) || e.Argument().IsFree(n)
|
||||
// IsFree returns true if the variable name n occurs free in the expression.
|
||||
// This function does not mutate the input expression.
|
||||
func IsFree(e Expression, n string) bool {
|
||||
switch e := e.(type) {
|
||||
case Variable:
|
||||
return e.Name == n
|
||||
case Abstraction:
|
||||
return e.Parameter != n && IsFree(e.Body, n)
|
||||
case Application:
|
||||
return IsFree(e.Abstraction, n) || IsFree(e.Argument, n)
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %v", e))
|
||||
}
|
||||
}
|
||||
|
||||
31
pkg/lambda/lambda.go
Normal file
31
pkg/lambda/lambda.go
Normal file
@@ -0,0 +1,31 @@
|
||||
// Package lambda defines the AST for the untyped lambda calculus.
|
||||
package lambda
|
||||
|
||||
// An Expression is a node in the lambda calculus abstract syntax tree.
|
||||
// It is a sealed interface; only types in this package may implement it.
|
||||
type Expression interface {
|
||||
expression()
|
||||
}
|
||||
|
||||
// An Abstraction binds a single parameter over a body expression.
|
||||
type Abstraction struct {
|
||||
Parameter string
|
||||
Body Expression
|
||||
}
|
||||
|
||||
func (a Abstraction) expression() {}
|
||||
|
||||
// An Application applies an abstraction to a single argument.
|
||||
type Application struct {
|
||||
Abstraction Expression
|
||||
Argument Expression
|
||||
}
|
||||
|
||||
func (a Application) expression() {}
|
||||
|
||||
// A Variable is a named reference to a bound or free variable.
|
||||
type Variable struct {
|
||||
Name string
|
||||
}
|
||||
|
||||
func (v Variable) expression() {}
|
||||
@@ -1,28 +1,31 @@
|
||||
package lambda
|
||||
|
||||
import "fmt"
|
||||
|
||||
// Rename replaces all occurrences of the target variable name with the new name.
|
||||
func (e Variable) Rename(target string, newName string) Expression {
|
||||
if e.Name() == target {
|
||||
return NewVariable(newName)
|
||||
func Rename(e Expression, target string, newName string) Expression {
|
||||
switch e := e.(type) {
|
||||
case Variable:
|
||||
if e.Name == target {
|
||||
return Variable{Name: newName}
|
||||
}
|
||||
|
||||
return e
|
||||
}
|
||||
|
||||
func (e Abstraction) Rename(target string, newName string) Expression {
|
||||
newParam := e.Parameter()
|
||||
if e.Parameter() == target {
|
||||
case Abstraction:
|
||||
newParam := e.Parameter
|
||||
if e.Parameter == target {
|
||||
newParam = newName
|
||||
}
|
||||
|
||||
newBody := e.Body().Rename(target, newName)
|
||||
newBody := Rename(e.Body, target, newName)
|
||||
|
||||
return NewAbstraction(newParam, newBody)
|
||||
}
|
||||
|
||||
func (e Application) Rename(target string, newName string) Expression {
|
||||
newAbs := e.Abstraction().Rename(target, newName)
|
||||
newArg := e.Argument().Rename(target, newName)
|
||||
|
||||
return NewApplication(newAbs, newArg)
|
||||
return Abstraction{Parameter: newParam, Body: newBody}
|
||||
case Application:
|
||||
newAbs := Rename(e.Abstraction, target, newName)
|
||||
newArg := Rename(e.Argument, target, newName)
|
||||
|
||||
return Application{Abstraction: newAbs, Argument: newArg}
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %v", e))
|
||||
}
|
||||
}
|
||||
|
||||
17
pkg/lambda/stringify.go
Normal file
17
pkg/lambda/stringify.go
Normal file
@@ -0,0 +1,17 @@
|
||||
package lambda
|
||||
|
||||
import "fmt"
|
||||
|
||||
// Stringify turns an expression as a string.
|
||||
func Stringify(e Expression) string {
|
||||
switch e := e.(type) {
|
||||
case Variable:
|
||||
return e.Name
|
||||
case Abstraction:
|
||||
return "\\" + e.Parameter + "." + Stringify(e.Body)
|
||||
case Application:
|
||||
return "(" + Stringify(e.Abstraction) + " " + Stringify(e.Argument) + ")"
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %v", e))
|
||||
}
|
||||
}
|
||||
@@ -1,35 +1,41 @@
|
||||
package lambda
|
||||
|
||||
func (e Variable) Substitute(target string, replacement Expression) Expression {
|
||||
if e.Name() == target {
|
||||
import "fmt"
|
||||
|
||||
// Substitute replaces all free occurrences of the target variable with the
|
||||
// replacement expression. Alpha-renaming is performed automatically to
|
||||
// avoid variable capture.
|
||||
func Substitute(e Expression, target string, replacement Expression) Expression {
|
||||
switch e := e.(type) {
|
||||
case Variable:
|
||||
if e.Name == target {
|
||||
return replacement
|
||||
}
|
||||
|
||||
return e
|
||||
}
|
||||
|
||||
func (e Abstraction) Substitute(target string, replacement Expression) Expression {
|
||||
if e.Parameter() == target {
|
||||
case Abstraction:
|
||||
if e.Parameter == target {
|
||||
return e
|
||||
}
|
||||
|
||||
body := e.Body()
|
||||
param := e.Parameter()
|
||||
if replacement.IsFree(param) {
|
||||
freeVars := replacement.GetFree()
|
||||
freeVars.Merge(body.GetFree())
|
||||
body := e.Body
|
||||
param := e.Parameter
|
||||
if IsFree(replacement, param) {
|
||||
freeVars := GetFree(replacement)
|
||||
freeVars.Merge(GetFree(body))
|
||||
freshVar := GenerateFreshName(freeVars)
|
||||
body = body.Rename(param, freshVar)
|
||||
body = Rename(body, param, freshVar)
|
||||
param = freshVar
|
||||
}
|
||||
|
||||
newBody := body.Substitute(target, replacement)
|
||||
return NewAbstraction(param, newBody)
|
||||
}
|
||||
newBody := Substitute(body, target, replacement)
|
||||
return Abstraction{Parameter: param, Body: newBody}
|
||||
case Application:
|
||||
abs := Substitute(e.Abstraction, target, replacement)
|
||||
arg := Substitute(e.Argument, target, replacement)
|
||||
|
||||
func (e Application) Substitute(target string, replacement Expression) Expression {
|
||||
abs := e.Abstraction().Substitute(target, replacement)
|
||||
arg := e.Argument().Substitute(target, replacement)
|
||||
|
||||
return NewApplication(abs, arg)
|
||||
return Application{Abstraction: abs, Argument: arg}
|
||||
default:
|
||||
panic(fmt.Errorf("unknown expression type: %v", e))
|
||||
}
|
||||
}
|
||||
|
||||
@@ -1,14 +1,15 @@
|
||||
// Package "saccharine" provides a simple language built on top of λ-calculus,
|
||||
// to facilitate productive coding using it.
|
||||
package saccharine
|
||||
|
||||
import (
|
||||
"git.maximhutz.com/max/lambda/pkg/codec"
|
||||
)
|
||||
|
||||
type Marshaler struct{}
|
||||
// A Codec is a [codec.Codec] that serializes Saccharine expressions.
|
||||
type Codec struct{}
|
||||
|
||||
func (m Marshaler) Decode(s string) (Expression, error) {
|
||||
// Decode parses a string as Saccharine source code. Returns an error
|
||||
// if it cannot.
|
||||
func (c Codec) Decode(s string) (Expression, error) {
|
||||
tokens, err := scan(s)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
@@ -17,8 +18,10 @@ func (m Marshaler) Decode(s string) (Expression, error) {
|
||||
return parse(tokens)
|
||||
}
|
||||
|
||||
func (m Marshaler) Encode(e Expression) (string, error) {
|
||||
// Encode turns a Saccharine expression into a string. Returns an error if it
|
||||
// cannot.
|
||||
func (c Codec) Encode(e Expression) (string, error) {
|
||||
return stringifyExpression(e), nil
|
||||
}
|
||||
|
||||
var _ codec.Codec[Expression] = (*Marshaler)(nil)
|
||||
var _ codec.Codec[Expression] = (*Codec)(nil)
|
||||
|
||||
@@ -1,49 +0,0 @@
|
||||
package saccharine
|
||||
|
||||
type Expression interface {
|
||||
IsExpression()
|
||||
}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
type Abstraction struct {
|
||||
Parameters []string
|
||||
Body Expression
|
||||
}
|
||||
|
||||
type Application struct {
|
||||
Abstraction Expression
|
||||
Arguments []Expression
|
||||
}
|
||||
|
||||
type Atom struct {
|
||||
Name string
|
||||
}
|
||||
|
||||
type Clause struct {
|
||||
Statements []Statement
|
||||
Returns Expression
|
||||
}
|
||||
|
||||
func (Abstraction) IsExpression() {}
|
||||
func (Application) IsExpression() {}
|
||||
func (Atom) IsExpression() {}
|
||||
func (Clause) IsExpression() {}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
func NewAbstraction(parameter []string, body Expression) *Abstraction {
|
||||
return &Abstraction{Parameters: parameter, Body: body}
|
||||
}
|
||||
|
||||
func NewApplication(abstraction Expression, arguments []Expression) *Application {
|
||||
return &Application{Abstraction: abstraction, Arguments: arguments}
|
||||
}
|
||||
|
||||
func NewAtom(name string) *Atom {
|
||||
return &Atom{Name: name}
|
||||
}
|
||||
|
||||
func NewClause(statements []Statement, returns Expression) *Clause {
|
||||
return &Clause{Statements: statements, Returns: returns}
|
||||
}
|
||||
@@ -5,13 +5,12 @@ import (
|
||||
"fmt"
|
||||
|
||||
"git.maximhutz.com/max/lambda/pkg/iterator"
|
||||
"git.maximhutz.com/max/lambda/pkg/trace"
|
||||
)
|
||||
|
||||
type TokenIterator = iterator.Iterator[Token]
|
||||
type tokenIterator = iterator.Iterator[Token]
|
||||
|
||||
func parseRawToken(i *TokenIterator, expected TokenType) (*Token, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (*Token, error) {
|
||||
func parseRawToken(i *tokenIterator, expected TokenType) (*Token, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (*Token, error) {
|
||||
if tok, err := i.Next(); err != nil {
|
||||
return nil, err
|
||||
} else if tok.Type != expected {
|
||||
@@ -22,7 +21,7 @@ func parseRawToken(i *TokenIterator, expected TokenType) (*Token, error) {
|
||||
})
|
||||
}
|
||||
|
||||
func passSoftBreaks(i *TokenIterator) {
|
||||
func passSoftBreaks(i *tokenIterator) {
|
||||
for {
|
||||
if _, err := parseRawToken(i, TokenSoftBreak); err != nil {
|
||||
return
|
||||
@@ -30,8 +29,8 @@ func passSoftBreaks(i *TokenIterator) {
|
||||
}
|
||||
}
|
||||
|
||||
func parseToken(i *TokenIterator, expected TokenType, ignoreSoftBreaks bool) (*Token, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (*Token, error) {
|
||||
func parseToken(i *tokenIterator, expected TokenType, ignoreSoftBreaks bool) (*Token, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (*Token, error) {
|
||||
if ignoreSoftBreaks {
|
||||
passSoftBreaks(i)
|
||||
}
|
||||
@@ -40,15 +39,15 @@ func parseToken(i *TokenIterator, expected TokenType, ignoreSoftBreaks bool) (*T
|
||||
})
|
||||
}
|
||||
|
||||
func parseString(i *TokenIterator) (string, error) {
|
||||
func parseString(i *tokenIterator) (string, error) {
|
||||
if tok, err := parseToken(i, TokenAtom, true); err != nil {
|
||||
return "", trace.Wrap(err, "no variable (col %d)", i.Index())
|
||||
return "", fmt.Errorf("no variable (col %d): %w", i.Index(), err)
|
||||
} else {
|
||||
return tok.Value, nil
|
||||
}
|
||||
}
|
||||
|
||||
func parseBreak(i *TokenIterator) (*Token, error) {
|
||||
func parseBreak(i *tokenIterator) (*Token, error) {
|
||||
if tok, softErr := parseRawToken(i, TokenSoftBreak); softErr == nil {
|
||||
return tok, nil
|
||||
} else if tok, hardErr := parseRawToken(i, TokenHardBreak); hardErr == nil {
|
||||
@@ -58,13 +57,13 @@ func parseBreak(i *TokenIterator) (*Token, error) {
|
||||
}
|
||||
}
|
||||
|
||||
func parseList[U any](i *TokenIterator, fn func(*TokenIterator) (U, error), minimum int) ([]U, error) {
|
||||
func parseList[U any](i *tokenIterator, fn func(*tokenIterator) (U, error), minimum int) ([]U, error) {
|
||||
results := []U{}
|
||||
|
||||
for {
|
||||
if u, err := fn(i); err != nil {
|
||||
if len(results) < minimum {
|
||||
return nil, trace.Wrap(err, "expected at least '%v' items, got only '%v'", minimum, len(results))
|
||||
return nil, fmt.Errorf("expected at least '%v' items, got only '%v': %w", minimum, len(results), err)
|
||||
}
|
||||
return results, nil
|
||||
} else {
|
||||
@@ -73,45 +72,45 @@ func parseList[U any](i *TokenIterator, fn func(*TokenIterator) (U, error), mini
|
||||
}
|
||||
}
|
||||
|
||||
func parseAbstraction(i *TokenIterator) (*Abstraction, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (*Abstraction, error) {
|
||||
func parseAbstraction(i *tokenIterator) (*Abstraction, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (*Abstraction, error) {
|
||||
if _, err := parseToken(i, TokenSlash, true); err != nil {
|
||||
return nil, trace.Wrap(err, "no function slash (col %d)", i.MustGet().Column)
|
||||
return nil, fmt.Errorf("no function slash (col %d): %w", i.MustGet().Column, err)
|
||||
} else if parameters, err := parseList(i, parseString, 0); err != nil {
|
||||
return nil, err
|
||||
} else if _, err = parseToken(i, TokenDot, true); err != nil {
|
||||
return nil, trace.Wrap(err, "no function dot (col %d)", i.MustGet().Column)
|
||||
return nil, fmt.Errorf("no function dot (col %d): %w", i.MustGet().Column, err)
|
||||
} else if body, err := parseExpression(i); err != nil {
|
||||
return nil, err
|
||||
} else {
|
||||
return NewAbstraction(parameters, body), nil
|
||||
return &Abstraction{Parameters: parameters, Body: body}, nil
|
||||
}
|
||||
})
|
||||
}
|
||||
|
||||
func parseApplication(i *TokenIterator) (*Application, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (*Application, error) {
|
||||
func parseApplication(i *tokenIterator) (*Application, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (*Application, error) {
|
||||
if _, err := parseToken(i, TokenOpenParen, true); err != nil {
|
||||
return nil, trace.Wrap(err, "no openning brackets (col %d)", i.MustGet().Column)
|
||||
return nil, fmt.Errorf("no openning brackets (col %d): %w", i.MustGet().Column, err)
|
||||
} else if expressions, err := parseList(i, parseExpression, 1); err != nil {
|
||||
return nil, err
|
||||
} else if _, err := parseToken(i, TokenCloseParen, true); err != nil {
|
||||
return nil, trace.Wrap(err, "no closing brackets (col %d)", i.MustGet().Column)
|
||||
return nil, fmt.Errorf("no closing brackets (col %d): %w", i.MustGet().Column, err)
|
||||
} else {
|
||||
return NewApplication(expressions[0], expressions[1:]), nil
|
||||
return &Application{Abstraction: expressions[0], Arguments: expressions[1:]}, nil
|
||||
}
|
||||
})
|
||||
}
|
||||
|
||||
func parseAtom(i *TokenIterator) (*Atom, error) {
|
||||
func parseAtom(i *tokenIterator) (*Atom, error) {
|
||||
if tok, err := parseToken(i, TokenAtom, true); err != nil {
|
||||
return nil, trace.Wrap(err, "no variable (col %d)", i.Index())
|
||||
return nil, fmt.Errorf("no variable (col %d): %w", i.Index(), err)
|
||||
} else {
|
||||
return NewAtom(tok.Value), nil
|
||||
return &Atom{Name: tok.Value}, nil
|
||||
}
|
||||
}
|
||||
|
||||
func parseStatements(i *TokenIterator) ([]Statement, error) {
|
||||
func parseStatements(i *tokenIterator) ([]Statement, error) {
|
||||
statements := []Statement{}
|
||||
|
||||
//nolint:errcheck
|
||||
@@ -130,7 +129,7 @@ func parseStatements(i *TokenIterator) ([]Statement, error) {
|
||||
return statements, nil
|
||||
}
|
||||
|
||||
func parseClause(i *TokenIterator, braces bool) (*Clause, error) {
|
||||
func parseClause(i *tokenIterator, braces bool) (*Clause, error) {
|
||||
if braces {
|
||||
if _, err := parseToken(i, TokenOpenBrace, true); err != nil {
|
||||
return nil, err
|
||||
@@ -156,11 +155,11 @@ func parseClause(i *TokenIterator, braces bool) (*Clause, error) {
|
||||
}
|
||||
}
|
||||
|
||||
return NewClause(stmts[:len(stmts)-1], last.Value), nil
|
||||
return &Clause{Statements: stmts[:len(stmts)-1], Returns: last.Value}, nil
|
||||
}
|
||||
|
||||
func parseExpression(i *TokenIterator) (Expression, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (Expression, error) {
|
||||
func parseExpression(i *tokenIterator) (Expression, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (Expression, error) {
|
||||
passSoftBreaks(i)
|
||||
|
||||
switch peek := i.MustGet(); peek.Type {
|
||||
@@ -178,8 +177,8 @@ func parseExpression(i *TokenIterator) (Expression, error) {
|
||||
})
|
||||
}
|
||||
|
||||
func parseLet(i *TokenIterator) (*LetStatement, error) {
|
||||
return iterator.Do(i, func(i *TokenIterator) (*LetStatement, error) {
|
||||
func parseLet(i *tokenIterator) (*LetStatement, error) {
|
||||
return iterator.Do(i, func(i *tokenIterator) (*LetStatement, error) {
|
||||
if parameters, err := parseList(i, parseString, 1); err != nil {
|
||||
return nil, err
|
||||
} else if _, err := parseToken(i, TokenAssign, true); err != nil {
|
||||
@@ -187,20 +186,20 @@ func parseLet(i *TokenIterator) (*LetStatement, error) {
|
||||
} else if body, err := parseExpression(i); err != nil {
|
||||
return nil, err
|
||||
} else {
|
||||
return NewLet(parameters[0], parameters[1:], body), nil
|
||||
return &LetStatement{Name: parameters[0], Parameters: parameters[1:], Body: body}, nil
|
||||
}
|
||||
})
|
||||
}
|
||||
|
||||
func parseDeclare(i *TokenIterator) (*DeclareStatement, error) {
|
||||
func parseDeclare(i *tokenIterator) (*DeclareStatement, error) {
|
||||
if value, err := parseExpression(i); err != nil {
|
||||
return nil, err
|
||||
} else {
|
||||
return NewDeclare(value), nil
|
||||
return &DeclareStatement{Value: value}, nil
|
||||
}
|
||||
}
|
||||
|
||||
func parseStatement(i *TokenIterator) (Statement, error) {
|
||||
func parseStatement(i *tokenIterator) (Statement, error) {
|
||||
if let, letErr := parseLet(i); letErr == nil {
|
||||
return let, nil
|
||||
} else if declare, declErr := parseDeclare(i); declErr == nil {
|
||||
|
||||
60
pkg/saccharine/saccharine.go
Normal file
60
pkg/saccharine/saccharine.go
Normal file
@@ -0,0 +1,60 @@
|
||||
// Package saccharine defines the AST for the Saccharine language, a sugared
|
||||
// lambda calculus with let bindings and multi-statement clauses.
|
||||
package saccharine
|
||||
|
||||
// An Expression is a node in the Saccharine abstract syntax tree.
|
||||
// It is a sealed interface; only types in this package may implement it.
|
||||
type Expression interface {
|
||||
expression()
|
||||
}
|
||||
|
||||
// An Abstraction is a lambda expression with zero or more parameters.
|
||||
// A zero-parameter abstraction is treated as a thunk.
|
||||
type Abstraction struct {
|
||||
Parameters []string
|
||||
Body Expression
|
||||
}
|
||||
|
||||
// An Application applies an expression to zero or more arguments.
|
||||
type Application struct {
|
||||
Abstraction Expression
|
||||
Arguments []Expression
|
||||
}
|
||||
|
||||
// An Atom is a named variable.
|
||||
type Atom struct {
|
||||
Name string
|
||||
}
|
||||
|
||||
// A Clause is a sequence of statements followed by a return expression.
|
||||
type Clause struct {
|
||||
Statements []Statement
|
||||
Returns Expression
|
||||
}
|
||||
|
||||
func (Abstraction) expression() {}
|
||||
func (Application) expression() {}
|
||||
func (Atom) expression() {}
|
||||
func (Clause) expression() {}
|
||||
|
||||
// A Statement is a declaration within a Clause.
|
||||
// It is a sealed interface; only types in this package may implement it.
|
||||
type Statement interface {
|
||||
statement()
|
||||
}
|
||||
|
||||
// A LetStatement binds a name (with optional parameters) to an expression.
|
||||
type LetStatement struct {
|
||||
Name string
|
||||
Parameters []string
|
||||
Body Expression
|
||||
}
|
||||
|
||||
// A DeclareStatement evaluates an expression for its side effects within a
|
||||
// clause.
|
||||
type DeclareStatement struct {
|
||||
Value Expression
|
||||
}
|
||||
|
||||
func (LetStatement) statement() {}
|
||||
func (DeclareStatement) statement() {}
|
||||
@@ -6,7 +6,6 @@ import (
|
||||
"unicode"
|
||||
|
||||
"git.maximhutz.com/max/lambda/pkg/iterator"
|
||||
"git.maximhutz.com/max/lambda/pkg/trace"
|
||||
)
|
||||
|
||||
// isVariables determines whether a rune can be a valid variable.
|
||||
@@ -51,38 +50,38 @@ func scanToken(i *iterator.Iterator[rune]) (*Token, error) {
|
||||
|
||||
letter, err := i.Next()
|
||||
if err != nil {
|
||||
return nil, trace.Wrap(err, "cannot produce next token")
|
||||
return nil, fmt.Errorf("cannot produce next token: %w", err)
|
||||
}
|
||||
|
||||
switch {
|
||||
case letter == '(':
|
||||
return NewTokenOpenParen(index), nil
|
||||
return NewToken(TokenOpenParen, index), nil
|
||||
case letter == ')':
|
||||
return NewTokenCloseParen(index), nil
|
||||
return NewToken(TokenCloseParen, index), nil
|
||||
case letter == '.':
|
||||
return NewTokenDot(index), nil
|
||||
return NewToken(TokenDot, index), nil
|
||||
case letter == '\\':
|
||||
return NewTokenSlash(index), nil
|
||||
return NewToken(TokenSlash, index), nil
|
||||
case letter == '\n':
|
||||
return NewTokenSoftBreak(index), nil
|
||||
return NewToken(TokenSoftBreak, index), nil
|
||||
case letter == '{':
|
||||
return NewTokenOpenBrace(index), nil
|
||||
return NewToken(TokenOpenBrace, index), nil
|
||||
case letter == '}':
|
||||
return NewTokenCloseBrace(index), nil
|
||||
return NewToken(TokenCloseBrace, index), nil
|
||||
case letter == ':':
|
||||
if _, err := scanCharacter(i, '='); err != nil {
|
||||
return nil, err
|
||||
} else {
|
||||
return NewTokenAssign(index), nil
|
||||
return NewToken(TokenAssign, index), nil
|
||||
}
|
||||
case letter == ';':
|
||||
return NewTokenHardBreak(index), nil
|
||||
return NewToken(TokenHardBreak, index), nil
|
||||
case letter == '#':
|
||||
// Skip everything until the next newline or EOF.
|
||||
for !i.Done() {
|
||||
r, err := i.Next()
|
||||
if err != nil {
|
||||
return nil, trace.Wrap(err, "error while parsing comment")
|
||||
return nil, fmt.Errorf("error while parsing comment: %w", err)
|
||||
}
|
||||
|
||||
if r == '\n' {
|
||||
|
||||
@@ -1,30 +0,0 @@
|
||||
package saccharine
|
||||
|
||||
type Statement interface {
|
||||
IsStatement()
|
||||
}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
type LetStatement struct {
|
||||
Name string
|
||||
Parameters []string
|
||||
Body Expression
|
||||
}
|
||||
|
||||
type DeclareStatement struct {
|
||||
Value Expression
|
||||
}
|
||||
|
||||
func (LetStatement) IsStatement() {}
|
||||
func (DeclareStatement) IsStatement() {}
|
||||
|
||||
/** ------------------------------------------------------------------------- */
|
||||
|
||||
func NewLet(name string, parameters []string, body Expression) *LetStatement {
|
||||
return &LetStatement{Name: name, Parameters: parameters, Body: body}
|
||||
}
|
||||
|
||||
func NewDeclare(value Expression) *DeclareStatement {
|
||||
return &DeclareStatement{Value: value}
|
||||
}
|
||||
@@ -2,90 +2,80 @@ package saccharine
|
||||
|
||||
import "fmt"
|
||||
|
||||
// All tokens in the pseudo-lambda language.
|
||||
// A TokenType is an identifier for any token in the Saccharine language.
|
||||
type TokenType int
|
||||
|
||||
// All official tokens of the Saccharine language.
|
||||
const (
|
||||
TokenOpenParen TokenType = iota // Denotes the '(' token.
|
||||
TokenCloseParen // Denotes the ')' token.
|
||||
TokenOpenBrace // Denotes the '{' token.
|
||||
TokenCloseBrace // Denotes the '}' token.
|
||||
TokenHardBreak // Denotes the ';' token.
|
||||
TokenAssign // Denotes the ':=' token.
|
||||
TokenAtom // Denotes an alpha-numeric variable.
|
||||
TokenSlash // Denotes the '/' token.
|
||||
TokenDot // Denotes the '.' token.
|
||||
TokenSoftBreak // Denotes a new-line.
|
||||
// TokenOpenParen denotes the '(' token.
|
||||
TokenOpenParen TokenType = iota
|
||||
// TokenCloseParen denotes the ')' token.
|
||||
TokenCloseParen
|
||||
// TokenOpenBrace denotes the '{' token.
|
||||
TokenOpenBrace
|
||||
// TokenCloseBrace denotes the '}' token.
|
||||
TokenCloseBrace
|
||||
// TokenHardBreak denotes the ';' token.
|
||||
TokenHardBreak
|
||||
// TokenAssign denotes the ':=' token.
|
||||
TokenAssign
|
||||
// TokenAtom denotes an alpha-numeric variable.
|
||||
TokenAtom
|
||||
// TokenSlash denotes the '/' token.
|
||||
TokenSlash
|
||||
// TokenDot denotes the '.' token.
|
||||
TokenDot
|
||||
// TokenSoftBreak denotes a new-line.
|
||||
TokenSoftBreak
|
||||
)
|
||||
|
||||
// A representation of a token in source code.
|
||||
// A Token in the Saccharine language.
|
||||
type Token struct {
|
||||
Column int // Where the token begins in the source text.
|
||||
Type TokenType // What type the token is.
|
||||
Value string // The value of the token.
|
||||
}
|
||||
|
||||
func NewTokenOpenParen(column int) *Token {
|
||||
return &Token{Type: TokenOpenParen, Column: column, Value: "("}
|
||||
}
|
||||
|
||||
func NewTokenCloseParen(column int) *Token {
|
||||
return &Token{Type: TokenCloseParen, Column: column, Value: ")"}
|
||||
}
|
||||
|
||||
func NewTokenOpenBrace(column int) *Token {
|
||||
return &Token{Type: TokenOpenBrace, Column: column, Value: "{"}
|
||||
}
|
||||
|
||||
func NewTokenCloseBrace(column int) *Token {
|
||||
return &Token{Type: TokenCloseBrace, Column: column, Value: "}"}
|
||||
}
|
||||
|
||||
func NewTokenDot(column int) *Token {
|
||||
return &Token{Type: TokenDot, Column: column, Value: "."}
|
||||
}
|
||||
|
||||
func NewTokenHardBreak(column int) *Token {
|
||||
return &Token{Type: TokenHardBreak, Column: column, Value: ";"}
|
||||
}
|
||||
|
||||
func NewTokenAssign(column int) *Token {
|
||||
return &Token{Type: TokenAssign, Column: column, Value: ":="}
|
||||
}
|
||||
|
||||
func NewTokenSlash(column int) *Token {
|
||||
return &Token{Type: TokenSlash, Column: column, Value: "\\"}
|
||||
// NewToken creates a [Token] of the given type at the given column.
|
||||
// The token's value is derived from its [TokenType].
|
||||
func NewToken(typ TokenType, column int) *Token {
|
||||
return &Token{Type: typ, Column: column, Value: typ.Name()}
|
||||
}
|
||||
|
||||
// NewTokenAtom creates a [TokenAtom] with the given name at the given column.
|
||||
func NewTokenAtom(name string, column int) *Token {
|
||||
return &Token{Type: TokenAtom, Column: column, Value: name}
|
||||
}
|
||||
|
||||
func NewTokenSoftBreak(column int) *Token {
|
||||
return &Token{Type: TokenSoftBreak, Column: column, Value: "\\n"}
|
||||
}
|
||||
|
||||
// Name returns the type of the TokenType, as a string.
|
||||
func (t TokenType) Name() string {
|
||||
switch t {
|
||||
case TokenOpenParen:
|
||||
return "("
|
||||
case TokenCloseParen:
|
||||
return ")"
|
||||
case TokenOpenBrace:
|
||||
return "{"
|
||||
case TokenCloseBrace:
|
||||
return "}"
|
||||
case TokenHardBreak:
|
||||
return ";"
|
||||
case TokenAssign:
|
||||
return ":="
|
||||
case TokenAtom:
|
||||
return "ATOM"
|
||||
case TokenSlash:
|
||||
return "\\"
|
||||
case TokenDot:
|
||||
return "."
|
||||
case TokenAtom:
|
||||
return "ATOM"
|
||||
case TokenSoftBreak:
|
||||
return "\\n"
|
||||
case TokenHardBreak:
|
||||
return ";"
|
||||
default:
|
||||
panic(fmt.Errorf("unknown token type %v", t))
|
||||
}
|
||||
}
|
||||
|
||||
// Name returns the type of the Token, as a string.
|
||||
func (t Token) Name() string {
|
||||
return t.Type.Name()
|
||||
}
|
||||
|
||||
@@ -1,31 +1,41 @@
|
||||
// Package set defines a generic, mutable unordered set data structure.
|
||||
package set
|
||||
|
||||
import "iter"
|
||||
|
||||
// A Set is an implementation of an mutable, unordered set. It uses a Golang map
|
||||
// as its underlying data structure.
|
||||
type Set[T comparable] map[T]bool
|
||||
|
||||
// Add appends a list of items into the set.
|
||||
func (s Set[T]) Add(items ...T) {
|
||||
for _, item := range items {
|
||||
s[item] = true
|
||||
}
|
||||
}
|
||||
|
||||
// Has returns true an item is present in the set.
|
||||
func (s Set[T]) Has(item T) bool {
|
||||
return s[item]
|
||||
}
|
||||
|
||||
// Remove deletes a list of items from the set.
|
||||
func (s Set[T]) Remove(items ...T) {
|
||||
for _, item := range items {
|
||||
delete(s, item)
|
||||
}
|
||||
}
|
||||
|
||||
// Merge adds all items in the argument into the set. The argument is not
|
||||
// mutated.
|
||||
func (s Set[T]) Merge(o Set[T]) {
|
||||
for item := range o {
|
||||
s.Add(item)
|
||||
}
|
||||
}
|
||||
|
||||
// ToList returns all items present in the set, as a slice. The order of the
|
||||
// items is not guaranteed.
|
||||
func (s Set[T]) ToList() []T {
|
||||
list := []T{}
|
||||
|
||||
@@ -36,6 +46,8 @@ func (s Set[T]) ToList() []T {
|
||||
return list
|
||||
}
|
||||
|
||||
// Items returns a sequence of all items present in the set. The order of the
|
||||
// items is not guaranteed.
|
||||
func (s Set[T]) Items() iter.Seq[T] {
|
||||
return func(yield func(T) bool) {
|
||||
for item := range s {
|
||||
@@ -46,6 +58,7 @@ func (s Set[T]) Items() iter.Seq[T] {
|
||||
}
|
||||
}
|
||||
|
||||
// New creates a set of all items as argument.
|
||||
func New[T comparable](items ...T) Set[T] {
|
||||
result := Set[T]{}
|
||||
|
||||
|
||||
@@ -1,25 +0,0 @@
|
||||
package trace
|
||||
|
||||
import (
|
||||
"errors"
|
||||
"fmt"
|
||||
"strings"
|
||||
)
|
||||
|
||||
func Indent(s string, size int) string {
|
||||
lines := strings.Lines(s)
|
||||
indent := strings.Repeat(" ", size)
|
||||
|
||||
indented := ""
|
||||
for line := range lines {
|
||||
indented += indent + line
|
||||
}
|
||||
|
||||
return indented
|
||||
}
|
||||
|
||||
func Wrap(child error, format string, a ...any) error {
|
||||
parent := fmt.Errorf(format, a...)
|
||||
childErrString := Indent(child.Error(), 4)
|
||||
return errors.New(parent.Error() + "\n" + childErrString)
|
||||
}
|
||||
Reference in New Issue
Block a user