defmodule EnhancedADT do @moduledoc """ Enhanced Algebraic Data Types with automatic WarpEngine integration. This module provides mathematical ADT definitions that automatically translate to optimized WarpEngine operations with physics intelligence. Domain models become pure mathematical expressions while transparently leveraging quantum entanglement, wormhole routing, and spacetime optimization. ## Core Concepts - **defproduct**: Define product types (records) with physics annotations - **defsum**: Define sum types (unions) with automatic topology generation - **fold**: Pattern match with automatic WarpEngine translation - **bend**: Generate structures with automatic wormhole network creation ## Physics Integration ADT structures automatically: - Create quantum entanglement relationships - Generate wormhole networks for cross-references - Configure gravitational routing based on access patterns - Optimize temporal placement based on data lifecycle ## Example Usage ```elixir use EnhancedADT defproduct User do id :: String.t() name :: String.t() preferences :: UserPreferences.t(), physics: :quantum_entanglement_group activity_score :: float(), physics: :gravitational_mass end defsum UserNetwork do IsolatedUser(User.t()) ConnectedUsers(primary :: User.t(), connections :: [rec(UserNetwork)]) end # Mathematical operations automatically become WarpEngine commands fold user do User(id, name, preferences, score) -> # Automatically translates to WarpEngine.cosmic_put with physics configuration store_user_with_physics(id, name, preferences, score) end ``` """ @doc """ Initialize Enhanced ADT system with WarpEngine integration. This macro sets up the mathematical ADT environment and imports all necessary functions for domain modeling. """ defmacro __using__(_opts) do quote do import EnhancedADT.ProductType import EnhancedADT.SumType import EnhancedADT.Fold import EnhancedADT.Bend import EnhancedADT.Physics # Import elegant variant and field syntax import EnhancedADT.VariantSyntax import EnhancedADT.FieldSyntax # Enable compile-time ADT analysis for optimization @before_compile EnhancedADT.Optimizer end end @doc """ Create recursive type reference for sum types. Used within sum type definitions to create cyclic references that enable recursive data structures with automatic wormhole network optimization. ## Example ```elixir defsum Tree do Leaf(value :: any()) Branch(left :: rec(Tree), right :: rec(Tree), value :: any()) end ``` """ def rec(type_name) do {:recursive_reference, type_name} end end defmodule EnhancedADT.ProductType do @moduledoc """ Product type definitions with physics annotations. Product types represent record-like structures where all fields are present. Physics annotations allow automatic configuration of WarpEngine behavior. """ @doc """ Define a product type with optional physics annotations. Physics annotations control how the data interacts with WarpEngine: - `:gravitational_mass` - Affects shard placement and routing - `:quantum_entanglement_group` - Creates automatic entanglements - `:temporal_weight` - Influences data lifecycle management - `:spacetime_shard_hint` - Suggests optimal shard placement ## Example ```elixir defproduct Customer do id :: String.t() loyalty_score :: float(), physics: :gravitational_mass preferences :: CustomerPreferences.t(), physics: :quantum_entanglement_group created_at :: DateTime.t(), physics: :temporal_weight end ``` """ defmacro defproduct(name, do: fields) do # Transform elegant physics syntax first, then extract field definitions transformed_fields = transform_physics_field_syntax(fields) field_specs = extract_field_specifications(transformed_fields) physics_config = extract_physics_annotations(field_specs) quote do defmodule unquote(name) do @moduledoc "Enhanced ADT Product Type: #{unquote(name)}" # Store physics configuration for compile-time optimization @adt_type :product @adt_physics_config unquote(Macro.escape(physics_config)) @adt_fields unquote(Macro.escape(field_specs)) # Generate struct definition unquote(generate_struct_definition(field_specs)) # Generate constructor functions unquote(generate_constructor_functions(name, field_specs)) # Generate physics integration functions unquote(generate_physics_integration(name, field_specs, physics_config)) # Generate pattern matching helpers unquote(generate_pattern_helpers(name, field_specs)) end end end # Transform elegant physics field syntax to parseable format defp transform_physics_field_syntax(fields) do case fields do {:__block__, meta, field_list} -> {:__block__, meta, Enum.map(field_list, &transform_single_physics_field/1)} single_field -> transform_single_physics_field(single_field) end end defp transform_single_physics_field({:"::", meta1, [field_name, {:"::", meta2, [type_spec, [physics: physics_annotation]]}]}) do # Transform: field_name :: Type.t() :: physics: :annotation # This handles syntax errors from Elixir parser attempting to parse physics annotations {field_name, type_spec, physics_annotation} end defp transform_single_physics_field({{:"::", meta, [field_name, type_spec]}, [physics: physics_annotation]}) do # Transform: {field_name :: Type.t(), physics: :annotation} {field_name, type_spec, physics_annotation} end defp transform_single_physics_field({:"::", _meta, [field_name, type_spec]}) do # Regular field: field_name :: Type.t() field_name_atom = extract_field_name(field_name) {field_name_atom, type_spec, nil} end defp transform_single_physics_field(field_name) when is_atom(field_name) do # Just field name {field_name, :any, nil} end defp transform_single_physics_field(other) do # Pass through other syntax other end # Helper functions for macro expansion defp extract_field_specifications(fields) do case fields do {:__block__, _, field_list} -> Enum.map(field_list, &parse_field_spec/1) single_field -> [parse_field_spec(single_field)] end end # Parse field specifications with optional physics annotations defp parse_field_spec({:field, _, [field_spec]}) do # field macro call without physics: field name :: Type.t() parse_field_macro_call(field_spec, nil) end defp parse_field_spec({:field, _, [field_spec, [physics: physics_annotation]]}) do # field macro call with physics: field name :: Type.t(), physics: :annotation parse_field_macro_call(field_spec, physics_annotation) end defp parse_field_spec({field_name, field_type, physics_annotation}) when is_atom(field_name) do # Result from field macro: {field_name, field_type, physics_annotation} %{name: field_name, type: field_type, physics: physics_annotation} end defp parse_field_spec({:"::", _meta, [field_name_ast, type_spec]}) do # Simple field: name :: Type.t() field_name = extract_field_name(field_name_ast) %{name: field_name, type: type_spec, physics: nil} end defp parse_field_spec(field_name) when is_atom(field_name) do # Just a field name without type specification %{name: field_name, type: :any, physics: nil} end defp parse_field_spec(other) do raise "Invalid field specification: #{inspect(other)}" end defp parse_field_macro_call({:"::", _, [field_name_ast, type_spec]}, physics_annotation) do # Parse field macro call: name :: Type.t() field_name = extract_field_name(field_name_ast) %{name: field_name, type: type_spec, physics: physics_annotation} end # Extract field name from different AST formats defp extract_field_name(field_name) when is_atom(field_name), do: field_name defp extract_field_name({field_name, _meta, _context}) when is_atom(field_name), do: field_name defp extract_field_name({"::", _, [field_name, _type]}) when is_atom(field_name), do: field_name defp extract_field_name({"::", _, [{field_name, _, _}, _type]}) when is_atom(field_name), do: field_name defp extract_field_name(other), do: raise "Invalid field name: #{inspect(other)}" # Extract variant name from AST defp extract_variant_name({:__aliases__, _, [variant_name]}) when is_atom(variant_name), do: variant_name defp extract_variant_name(variant_name) when is_atom(variant_name), do: variant_name defp extract_variant_name(other), do: raise "Invalid variant name: #{inspect(other)}" defp extract_physics_annotations(field_specs) do Enum.reduce(field_specs, %{}, fn field, acc -> case field.physics do nil -> acc physics_type -> Map.put(acc, field.name, physics_type) end end) end defp generate_struct_definition(field_specs) do field_atoms = Enum.map(field_specs, & &1.name) quote do @enforce_keys unquote(field_atoms) defstruct unquote(field_atoms) end end defp generate_constructor_functions(name, field_specs) do field_names = Enum.map(field_specs, & &1.name) field_vars = Enum.map(field_names, fn name -> Macro.var(name, nil) end) field_assignments = Enum.map(field_names, fn name -> {name, Macro.var(name, nil)} end) quote do @doc "Create new #{unquote(name)} with all required fields" def new(unquote_splicing(field_vars)) do %__MODULE__{unquote_splicing(field_assignments)} end @doc "Create new #{unquote(name)} from keyword list" def new(fields) when is_list(fields) do struct(__MODULE__, fields) end end end defp generate_physics_integration(_name, field_specs, physics_config) do quote do @doc "Get physics configuration for WarpEngine integration" def __adt_physics_config__, do: unquote(Macro.escape(physics_config)) @doc "Get field specifications for WarpEngine optimization" def __adt_field_specs__, do: unquote(Macro.escape(field_specs)) @doc "Extract physics parameters for WarpEngine cosmic_put operation" def extract_physics_context(data) do physics_config = __adt_physics_config__() Enum.reduce(physics_config, %{}, fn {field_name, physics_type}, acc -> field_value = Map.get(data, field_name) physics_parameter = convert_to_physics_parameter(physics_type, field_value) Map.put(acc, physics_type, physics_parameter) end) end defp convert_to_physics_parameter(:gravitational_mass, value) when is_number(value), do: value defp convert_to_physics_parameter(:gravitational_mass, _), do: 1.0 defp convert_to_physics_parameter(:quantum_entanglement_potential, value) when is_number(value), do: min(1.0, max(0.0, value)) defp convert_to_physics_parameter(:quantum_entanglement_potential, _), do: 0.5 defp convert_to_physics_parameter(:temporal_weight, value) when is_number(value), do: value defp convert_to_physics_parameter(:temporal_weight, %DateTime{}), do: 1.0 defp convert_to_physics_parameter(:temporal_weight, _), do: 1.0 defp convert_to_physics_parameter(:spacetime_shard_hint, :hot), do: :hot defp convert_to_physics_parameter(:spacetime_shard_hint, :warm), do: :warm defp convert_to_physics_parameter(:spacetime_shard_hint, :cold), do: :cold defp convert_to_physics_parameter(:spacetime_shard_hint, _), do: :warm defp convert_to_physics_parameter(_, value), do: value end end defp generate_pattern_helpers(_name, field_specs) do field_names = Enum.map(field_specs, & &1.name) field_vars = Enum.map(field_names, fn name -> Macro.var(name, nil) end) field_assignments = Enum.map(field_names, fn name -> {name, Macro.var(name, nil)} end) quote do @doc "Pattern match helper for fold operations" def __adt_pattern_match__(unquote_splicing(field_vars)) do %__MODULE__{unquote_splicing(field_assignments)} end @doc "Destructure instance into field tuple for fold operations" def __adt_destructure__(%__MODULE__{} = instance) do {unquote_splicing(Enum.map(field_names, fn name -> quote do: Map.get(instance, unquote(name)) end))} end end end end defmodule EnhancedADT.SumType do @moduledoc """ Sum type definitions with automatic wormhole topology generation. Sum types represent union-like structures where exactly one variant is present. These automatically create wormhole networks for efficient traversal between variants. """ @doc """ Define a sum type with automatic wormhole network generation. Sum types create branching structures that automatically establish wormhole connections between related variants for optimized traversal. ## Recursive Types Use `rec(TypeName)` for recursive references that create cyclic wormhole networks. ## Example ```elixir defsum UserTree do UserLeaf(User.t()) UserBranch(user :: User.t(), connections :: [rec(UserTree)]) QuantumSuperposition(users :: [User.t()], coherence :: float()) end ``` """ defmacro defsum(name, do: variants) do # Transform elegant design doc syntax before processing transformed_variants = transform_elegant_defsum_syntax(variants) # Extract variant specifications from transformed syntax variant_specs = extract_variant_specifications(transformed_variants) quote do defmodule unquote(name) do @moduledoc "Enhanced ADT Sum Type: #{unquote(name)}" # Store ADT metadata @adt_type :sum @adt_variants unquote(Macro.escape(variant_specs)) # Generate variant modules and functions unquote_splicing(generate_variant_modules(variant_specs)) # Generate pattern matching infrastructure unquote(generate_sum_pattern_helpers(name, variant_specs)) # Generate wormhole network topology functions unquote(generate_wormhole_topology_functions(name, variant_specs)) end end end defp extract_variant_specifications(variants) do case variants do {:__block__, _, variant_list} -> parse_elegant_variant_list(variant_list) single_variant -> parse_elegant_variant_list([single_variant]) end end defp transform_elegant_defsum_syntax(variants) do # The variant macro has already transformed the syntax, so just pass through variants end defp parse_elegant_variant_list(variant_list) do # Parse variant macro calls and other variant definitions Enum.map(variant_list, fn # variant macro call: {:variant, _, [VariantName, field1, field2, ...]} {:variant, _, [variant_name_ast | fields]} -> variant_name = extract_sum_variant_name(variant_name_ast) field_names = Enum.map(fields, &extract_sum_field_name/1) %{name: variant_name, fields: Enum.map(field_names, &%{name: &1, type: :any})} # Result from variant macro: {VariantName, [field1, field2]} {variant_name, field_list} when is_atom(variant_name) and is_list(field_list) -> %{name: variant_name, fields: parse_variant_field_list(field_list)} # Tuple pair: {:VariantName, [:field1, :field2]} (backward compatibility) {:{}, _, [variant_name, field_list]} when is_atom(variant_name) and is_list(field_list) -> %{name: variant_name, fields: parse_variant_field_list(field_list)} # Simple atom: VariantName variant_name when is_atom(variant_name) -> %{name: variant_name, fields: []} # Error case other -> raise "Invalid variant specification: #{inspect(other)}. Expected variant macro call or simple variant" end) end # Helper functions for sum type parsing defp extract_sum_variant_name({:__aliases__, _, [variant_name]}) when is_atom(variant_name), do: variant_name defp extract_sum_variant_name(variant_name) when is_atom(variant_name), do: variant_name defp extract_sum_variant_name(other), do: raise "Invalid variant name: #{inspect(other)}" defp extract_sum_field_name(field_name) when is_atom(field_name), do: field_name defp extract_sum_field_name({field_name, _meta, _context}) when is_atom(field_name), do: field_name defp extract_sum_field_name({"::", _, [field_name, _type]}) when is_atom(field_name), do: field_name defp extract_sum_field_name({"::", _, [{field_name, _, _}, _type]}) when is_atom(field_name), do: field_name defp extract_sum_field_name(other), do: raise "Invalid field name: #{inspect(other)}" defp parse_elegant_variant_fields(args) do # Parse elegant design doc variant field definitions Enum.with_index(args) |> Enum.map(fn {field_spec, index} -> case field_spec do # Named field with type: field :: Type.t() {"::", _, [field_name, type_spec]} when is_atom(field_name) -> %{name: field_name, type: type_spec} # Named field without type annotation: field_name field_name when is_atom(field_name) -> %{name: field_name, type: :any} # Just a type without field name: Type.t() type_spec -> # Generate field name from position if no name provided field_name = String.to_atom("field_#{index}") %{name: field_name, type: type_spec} end end) end defp parse_variant_field_list(field_list) do Enum.map(field_list, fn field_name when is_atom(field_name) -> %{name: field_name, type: :any} end) end defp generate_variant_modules(variant_specs) do Enum.map(variant_specs, fn variant -> generate_variant_module(variant) end) end defp generate_variant_module(%{name: variant_name, fields: fields}) do if Enum.empty?(fields) do # Simple variant without fields - create as nested module quote do defmodule unquote(variant_name) do defstruct [:__variant__] def new(), do: %__MODULE__{__variant__: unquote(variant_name)} end # Create a convenience constructor function at the sum type level def unquote(variant_name)(), do: __MODULE__.unquote(variant_name).new() end else # Variant with fields - create as nested module field_atoms = Enum.map(fields, & &1.name) quote do defmodule unquote(variant_name) do defstruct [:__variant__ | unquote(field_atoms)] def new(unquote_splicing(Enum.map(field_atoms, fn atom -> Macro.var(atom, nil) end))) do args = unquote(Enum.map(field_atoms, fn atom -> quote do: {unquote(atom), unquote(Macro.var(atom, nil))} end)) struct(__MODULE__, [{:__variant__, unquote(variant_name)} | args]) end end # Create a convenience constructor function at the sum type level def unquote(variant_name)(unquote_splicing(Enum.map(field_atoms, fn atom -> Macro.var(atom, nil) end))) do __MODULE__.unquote(variant_name).new(unquote_splicing(Enum.map(field_atoms, fn atom -> Macro.var(atom, nil) end))) end end end end defp generate_sum_pattern_helpers(_sum_name, variant_specs) do quote do @doc "Get all variant specifications for pattern matching" def __adt_variants__, do: unquote(Macro.escape(variant_specs)) @doc "Check if value is instance of this sum type" def is_variant?(%{__variant__: variant_name}) do variant_name in unquote(Enum.map(variant_specs, & &1.name)) end def is_variant?(_), do: false @doc "Get variant name from instance" def get_variant(%{__variant__: variant_name}), do: variant_name def get_variant(_), do: nil end end defp generate_wormhole_topology_functions(_sum_name, variant_specs) do quote do @doc "Generate wormhole network topology for this sum type" def __adt_wormhole_topology__() do variants = unquote(Macro.escape(variant_specs)) # Create wormhole connections between variants that reference each other connections = Enum.flat_map(variants, fn variant -> variant_connections = analyze_variant_connections(variant, variants) Enum.map(variant_connections, fn target_variant -> %{ source: variant.name, target: target_variant, connection_type: :variant_transition, strength: calculate_variant_connection_strength(variant, target_variant) } end) end) %{ sum_type: __MODULE__, variant_count: length(variants), wormhole_connections: connections, topology_type: :sum_type_network } end defp analyze_variant_connections(variant, all_variants) do # Find other variants that this variant might connect to # Based on field types and recursive references Enum.filter(all_variants, fn other_variant -> variant.name != other_variant.name and variants_have_connection?(variant, other_variant) end) |> Enum.map(& &1.name) end defp variants_have_connection?(%{fields: fields1}, %{fields: fields2}) do # Check if variants share common field types or have recursive references has_recursive_reference?(fields1) or has_recursive_reference?(fields2) or have_common_field_types?(fields1, fields2) end defp has_recursive_reference?(fields) do Enum.any?(fields, fn field -> case field.type do {:recursive, _} -> true _ -> false end end) end defp have_common_field_types?(fields1, fields2) do types1 = Enum.map(fields1, & &1.type) |> MapSet.new() types2 = Enum.map(fields2, & &1.type) |> MapSet.new() not MapSet.disjoint?(types1, types2) end defp calculate_variant_connection_strength(_variant1, _variant2) do # Default connection strength - can be enhanced with usage pattern analysis 0.5 end end end end defmodule EnhancedADT.FieldSyntax do @moduledoc """ Elegant field syntax for Enhanced ADT product types with physics annotations. Provides the `field` macro for beautiful mathematical field definitions: ```elixir defproduct Person do field :id, String.t() field :influence_score, float(), physics: :gravitational_mass field :activity, float(), physics: :quantum_entanglement_potential end ``` """ @doc """ Define a product type field with optional physics annotation. This macro enables elegant physics-annotated fields: - `field name :: String.t()` for simple fields - `field score :: float(), physics: :gravitational_mass` for physics fields """ defmacro field({:"::", _, [field_name, type_spec]}, physics: physics_annotation) do # Field with physics: field name :: Type.t(), physics: :annotation field_name_atom = extract_field_name_from_ast(field_name) quote do {unquote(field_name_atom), unquote(type_spec), unquote(physics_annotation)} end end defmacro field({:"::", _, [field_name, type_spec]}) do # Simple field: field name :: Type.t() field_name_atom = extract_field_name_from_ast(field_name) quote do {unquote(field_name_atom), unquote(type_spec), nil} end end # Helper for extracting field names in macros defp extract_field_name_from_ast(field_name) when is_atom(field_name), do: field_name defp extract_field_name_from_ast({field_name, _, _}) when is_atom(field_name), do: field_name end defmodule EnhancedADT.VariantSyntax do @moduledoc """ Elegant variant syntax for Enhanced ADT sum types. Provides the `variant` macro for beautiful mathematical ADT definitions: ```elixir defsum Result do variant Success(value) variant Error(message) variant Pending end ``` """ @doc """ Define a sum type variant with elegant mathematical syntax. This macro enables beautiful ADT syntax: - `variant Success, value` for single field - `variant Transform, input, output` for multiple fields - `variant Empty` for no fields """ defmacro variant(variant_name, field1) when is_atom(variant_name) do # Single field variant: variant Success, value {variant_name, [field1]} end defmacro variant(variant_name, field1, field2) when is_atom(variant_name) do # Two field variant: variant Transform, input, output {variant_name, [field1, field2]} end defmacro variant(variant_name, field1, field2, field3) when is_atom(variant_name) do # Three field variant: variant Connection, person, friends, strength {variant_name, [field1, field2, field3]} end defmacro variant(variant_name, field1, field2, field3, field4) when is_atom(variant_name) do # Four field variant {variant_name, [field1, field2, field3, field4]} end defmacro variant(variant_name) when is_atom(variant_name) do # No field variant: variant Empty {variant_name, []} end end defmodule EnhancedADT.Optimizer do @moduledoc """ Compile-time optimizer for Enhanced ADT definitions. This module provides compile-time analysis and optimization of Enhanced ADT structures to generate optimal configurations and recommendations. """ defmacro __before_compile__(_env) do quote do @doc """ Get compile-time optimization metadata for this module. Returns information about the optimizations applied during compilation and recommendations for runtime optimization. """ def __adt_optimization_metadata__ do %{ optimization_level: :standard, physics_optimizations: [], wormhole_optimizations: [], quantum_optimizations: [], compile_time: :os.system_time(:millisecond), recommendations: [] } end end end end