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+%%% Copyright 2010-2013 Manolis Papadakis <[email protected]>,
+%%% Eirini Arvaniti <[email protected]>
+%%% and Kostis Sagonas <[email protected]>
+%%%
+%%% This file is part of PropEr.
+%%%
+%%% PropEr is free software: you can redistribute it and/or modify
+%%% it under the terms of the GNU General Public License as published by
+%%% the Free Software Foundation, either version 3 of the License, or
+%%% (at your option) any later version.
+%%%
+%%% PropEr is distributed in the hope that it will be useful,
+%%% but WITHOUT ANY WARRANTY; without even the implied warranty of
+%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+%%% GNU General Public License for more details.
+%%%
+%%% You should have received a copy of the GNU General Public License
+%%% along with PropEr. If not, see <http://www.gnu.org/licenses/>.
+
+%%% @copyright 2010-2013 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas
+%%% @version {@version}
+%%% @author Manolis Papadakis
+
+%%% @doc Type manipulation functions and predefined types.
+%%%
+%%% == Basic types ==
+%%% This module defines all the basic types of the PropEr type system as
+%%% functions. See the <a href="#index">function index</a> for an overview.
+%%%
+%%% Types can be combined in tuples or lists to produce other types. Exact
+%%% values (such as exact numbers, atoms, binaries and strings) can be combined
+%%% with types inside such structures, like in this example of the type of a
+%%% tagged tuple: ``{'result', integer()}''.
+%%%
+%%% When including the PropEr header file, all
+%%% <a href="#index">API functions</a> of this module are automatically
+%%% imported, unless `PROPER_NO_IMPORTS' is defined.
+%%%
+%%% == Customized types ==
+%%% The following operators can be applied to basic types in order to produce
+%%% new ones:
+%%%
+%%% <dl>
+%%% <dt>`?LET(<Xs>, <Xs_type>, <In>)'</dt>
+%%% <dd>To produce an instance of this type, all appearances of the variables
+%%% in `<Xs>' are replaced inside `<In>' by their corresponding values in a
+%%% randomly generated instance of `<Xs_type>'. It's OK for the `<In>' part to
+%%% evaluate to a type - in that case, an instance of the inner type is
+%%% generated recursively.</dd>
+%%% <dt>`?SUCHTHAT(<X>, <Type>, <Condition>)'</dt>
+%%% <dd>This produces a specialization of `<Type>', which only includes those
+%%% members of `<Type>' that satisfy the constraint `<Condition>' - that is,
+%%% those members for which the function `fun(<X>) -> <Condition> end' returns
+%%% `true'. If the constraint is very strict - that is, only a small
+%%% percentage of instances of `<Type>' pass the test - it will take a lot of
+%%% tries for the instance generation subsystem to randomly produce a valid
+%%% instance. This will result in slower testing, and testing may even be
+%%% stopped short, in case the `constraint_tries' limit is reached (see the
+%%% "Options" section in the documentation of the {@link proper} module). If
+%%% this is the case, it would be more appropriate to generate valid instances
+%%% of the specialized type using the `?LET' macro. Also make sure that even
+%%% small instances can satisfy the constraint, since PropEr will only try
+%%% small instances at the start of testing. If this is not possible, you can
+%%% instruct PropEr to start at a larger size, by supplying a suitable value
+%%% for the `start_size' option (see the "Options" section in the
+%%% documentation of the {@link proper} module).</dd>
+%%% <dt>`?SUCHTHATMAYBE(<X>, <Type>, <Condition>)'</dt>
+%%% <dd>Equivalent to the `?SUCHTHAT' macro, but the constraint `<Condition>'
+%%% is considered non-strict: if the `constraint_tries' limit is reached, the
+%%% generator will just return an instance of `<Type>' instead of failing,
+%%% even if that instance doesn't satisfy the constraint.</dd>
+%%% <dt>`?SHRINK(<Generator>, <List_of_alt_gens>)'</dt>
+%%% <dd>This creates a type whose instances are generated by evaluating the
+%%% statement block `<Generator>' (this may evaluate to a type, which will
+%%% then be generated recursively). If an instance of such a type is to be
+%%% shrunk, the generators in `<List_of_alt_gens>' are first run to produce
+%%% hopefully simpler instances of the type. Thus, the generators in the
+%%% second argument should be simpler than the default. The simplest ones
+%%% should be at the front of the list, since those are the generators
+%%% preferred by the shrinking subsystem. Like the main `<Generator>', the
+%%% alternatives may also evaluate to a type, which is generated recursively.
+%%% </dd>
+%%% <dt>`?LETSHRINK(<List_of_variables>, <List_of_types>, <Generator>)'</dt>
+%%% <dd>This is created by combining a `?LET' and a `?SHRINK' macro. Instances
+%%% are generated by applying a randomly generated list of values inside
+%%% `<Generator>' (just like a `?LET', with the added constraint that the
+%%% variables and types must be provided in a list - alternatively,
+%%% `<List_of_types>' may be a list or vector type). When shrinking instances
+%%% of such a type, the sub-instances that were combined to produce it are
+%%% first tried in place of the failing instance.</dd>
+%%% <dt>`?LAZY(<Generator>)'</dt>
+%%% <dd>This construct returns a type whose only purpose is to delay the
+%%% evaluation of `<Generator>' (`<Generator>' can return a type, which will
+%%% be generated recursively). Using this, you can simulate the lazy
+%%% generation of instances:
+%%% ``` stream() -> ?LAZY(frequency([ {1,[]}, {3,[0|stream()]} ])). '''
+%%% The above type produces lists of zeroes with an average length of 3. Note
+%%% that, had we not enclosed the generator with a `?LAZY' macro, the
+%%% evaluation would continue indefinitely, due to the eager evaluation of
+%%% the Erlang language.</dd>
+%%% <dt>`non_empty(<List_or_binary_type>)'</dt>
+%%% <dd>See the documentation for {@link non_empty/1}.</dd>
+%%% <dt>`noshrink(<Type>)'</dt>
+%%% <dd>See the documentation for {@link noshrink/1}.</dd>
+%%% <dt>`default(<Default_value>, <Type>)'</dt>
+%%% <dd>See the documentation for {@link default/2}.</dd>
+%%% <dt>`with_parameter(<Parameter>, <Value>, <Type>)'</dt>
+%%% <dd>See the documentation for {@link with_parameter/3}.</dd>
+%%% <dt>`with_parameters(<Param_value_pairs>, <Type>)'</dt>
+%%% <dd>See the documentation for {@link with_parameters/2}.</dd>
+%%% </dl>
+%%%
+%%% == Size manipulation ==
+%%% The following operators are related to the `size' parameter, which controls
+%%% the maximum size of produced instances. The actual size of a produced
+%%% instance is chosen randomly, but can never exceed the value of the `size'
+%%% parameter at the moment of generation. A more accurate definition is the
+%%% following: the maximum instance of `size S' can never be smaller than the
+%%% maximum instance of `size S-1'. The actual size of an instance is measured
+%%% differently for each type: the actual size of a list is its length, while
+%%% the actual size of a tree may be the number of its internal nodes. Some
+%%% types, e.g. unions, have no notion of size, thus their generation is not
+%%% influenced by the value of `size'. The `size' parameter starts at 1 and
+%%% grows automatically during testing.
+%%%
+%%% <dl>
+%%% <dt>`?SIZED(<S>, <Generator>)'</dt>
+%%% <dd>Creates a new type, whose instances are produced by replacing all
+%%% appearances of the `<S>' parameter inside the statement block
+%%% `<Generator>' with the value of the `size' parameter. It's OK for the
+%%% `<Generator>' to return a type - in that case, an instance of the inner
+%%% type is generated recursively.</dd>
+%%% <dt>`resize(<New_size>, <Type>)'</dt>
+%%% <dd>See the documentation for {@link resize/2}.</dd>
+%%% </dl>
+
+-module(proper_types).
+-export([is_inst/2, is_inst/3]).
+
+-export([integer/2, float/2, atom/0, binary/0, binary/1, bitstring/0,
+ bitstring/1, list/1, vector/2, union/1, weighted_union/1, tuple/1,
+ loose_tuple/1, exactly/1, fixed_list/1, function/2, any/0,
+ shrink_list/1, safe_union/1, safe_weighted_union/1]).
+-export([integer/0, non_neg_integer/0, pos_integer/0, neg_integer/0, range/2,
+ float/0, non_neg_float/0, number/0, boolean/0, byte/0, char/0,
+ list/0, tuple/0, string/0, wunion/1, term/0, timeout/0, arity/0]).
+-export([int/0, nat/0, largeint/0, real/0, bool/0, choose/2, elements/1,
+ oneof/1, frequency/1, return/1, default/2, orderedlist/1, function0/1,
+ function1/1, function2/1, function3/1, function4/1,
+ weighted_default/2]).
+-export([resize/2, non_empty/1, noshrink/1]).
+
+-export([cook_outer/1, is_type/1, equal_types/2, is_raw_type/1, to_binary/1,
+ from_binary/1, get_prop/2, find_prop/2, safe_is_instance/2,
+ is_instance/2, unwrap/1, weakly/1, strongly/1, satisfies_all/2,
+ new_type/2, subtype/2]).
+-export([lazy/1, sized/1, bind/3, shrinkwith/2, add_constraint/3,
+ native_type/2, distlist/3, with_parameter/3, with_parameters/2,
+ parameter/1, parameter/2]).
+-export([le/2]).
+
+-export_type([type/0, raw_type/0, extint/0, extnum/0]).
+
+-include("proper_internal.hrl").
+
+
+%%------------------------------------------------------------------------------
+%% Comparison with erl_types
+%%------------------------------------------------------------------------------
+
+%% Missing types
+%% -------------------
+%% will do:
+%% records, maybe_improper_list(T,S), nonempty_improper_list(T,S)
+%% maybe_improper_list(), maybe_improper_list(T), iolist, iodata
+%% don't need:
+%% nonempty_{list,string,maybe_improper_list}
+%% won't do:
+%% pid, port, ref, identifier, none, no_return, module, mfa, node
+%% array, dict, digraph, set, gb_tree, gb_set, queue, tid
+
+%% Missing type information
+%% ------------------------
+%% bin types:
+%% other unit sizes? what about size info?
+%% functions:
+%% generally some fun, unspecified number of arguments but specified
+%% return type
+%% any:
+%% doesn't cover functions and improper lists
+
+
+%%------------------------------------------------------------------------------
+%% Type declaration macros
+%%------------------------------------------------------------------------------
+
+-define(BASIC(PropList), new_type(PropList,basic)).
+-define(WRAPPER(PropList), new_type(PropList,wrapper)).
+-define(CONSTRUCTED(PropList), new_type(PropList,constructed)).
+-define(CONTAINER(PropList), new_type(PropList,container)).
+-define(SUBTYPE(Type,PropList), subtype(PropList,Type)).
+
+
+%%------------------------------------------------------------------------------
+%% Types
+%%------------------------------------------------------------------------------
+
+-type type_kind() :: 'basic' | 'wrapper' | 'constructed' | 'container' | atom().
+-type instance_test() :: fun((proper_gen:imm_instance()) -> boolean())
+ | {'typed',
+ fun((proper_types:type(),
+ proper_gen:imm_instance()) -> boolean())}.
+-type index() :: pos_integer().
+%% @alias
+-type value() :: term().
+%% @private_type
+%% @alias
+-type extint() :: integer() | 'inf'.
+%% @private_type
+%% @alias
+-type extnum() :: number() | 'inf'.
+-type constraint_fun() :: fun((proper_gen:instance()) -> boolean()).
+
+-opaque type() :: {'$type', [type_prop()]}.
+%% A type of the PropEr type system
+%% @type raw_type(). You can consider this as an equivalent of {@type type()}.
+-type raw_type() :: type() | [raw_type()] | loose_tuple(raw_type()) | term().
+-type type_prop_name() :: 'kind' | 'generator' | 'reverse_gen' | 'parts_type'
+ | 'combine' | 'alt_gens' | 'shrink_to_parts'
+ | 'size_transform' | 'is_instance' | 'shrinkers'
+ | 'noshrink' | 'internal_type' | 'internal_types'
+ | 'get_length' | 'split' | 'join' | 'get_indices'
+ | 'remove' | 'retrieve' | 'update' | 'constraints'
+ | 'parameters' | 'env' | 'subenv'.
+
+-type type_prop_value() :: term().
+-type type_prop() ::
+ {'kind', type_kind()}
+ | {'generator', proper_gen:generator()}
+ | {'reverse_gen', proper_gen:reverse_gen()}
+ | {'parts_type', type()}
+ | {'combine', proper_gen:combine_fun()}
+ | {'alt_gens', proper_gen:alt_gens()}
+ | {'shrink_to_parts', boolean()}
+ | {'size_transform', fun((size()) -> size())}
+ | {'is_instance', instance_test()}
+ | {'shrinkers', [proper_shrink:shrinker()]}
+ | {'noshrink', boolean()}
+ | {'internal_type', raw_type()}
+ | {'internal_types', tuple() | maybe_improper_list(type(),type() | [])}
+ %% The items returned by 'remove' must be of this type.
+ | {'get_length', fun((proper_gen:imm_instance()) -> length())}
+ %% If this is a container type, this should return the number of elements
+ %% it contains.
+ | {'split', fun((proper_gen:imm_instance()) -> [proper_gen:imm_instance()])
+ | fun((length(),proper_gen:imm_instance()) ->
+ {proper_gen:imm_instance(),proper_gen:imm_instance()})}
+ %% If present, the appropriate form depends on whether get_length is
+ %% defined: if get_length is undefined, this must be in the one-argument
+ %% form (e.g. a tree should be split into its subtrees), else it must be
+ %% in the two-argument form (e.g. a list should be split in two at the
+ %% index provided).
+ | {'join', fun((proper_gen:imm_instance(),proper_gen:imm_instance()) ->
+ proper_gen:imm_instance())}
+ | {'get_indices', fun((proper_types:type(),
+ proper_gen:imm_instance()) -> [index()])}
+ %% If this is a container type, this should return a list of indices we
+ %% can use to remove or insert elements from the given instance.
+ | {'remove', fun((index(),proper_gen:imm_instance()) ->
+ proper_gen:imm_instance())}
+ | {'retrieve', fun((index(), proper_gen:imm_instance() | tuple()
+ | maybe_improper_list(type(),type() | [])) ->
+ value() | type())}
+ | {'update', fun((index(),value(),proper_gen:imm_instance()) ->
+ proper_gen:imm_instance())}
+ | {'constraints', [{constraint_fun(), boolean()}]}
+ %% A list of constraints on instances of this type: each constraint is a
+ %% tuple of a fun that must return 'true' for each valid instance and a
+ %% boolean field that specifies whether the condition is strict.
+ | {'parameters', [{atom(),value()}]}
+ | {'env', term()}
+ | {'subenv', term()}.
+
+
+%%------------------------------------------------------------------------------
+%% Type manipulation functions
+%%------------------------------------------------------------------------------
+
+%% TODO: We shouldn't need the fully qualified type name in the range of these
+%% functions.
+
+%% @private
+%% TODO: just cook/1 ?
+-spec cook_outer(raw_type()) -> proper_types:type().
+cook_outer(Type = {'$type',_Props}) ->
+ Type;
+cook_outer(RawType) ->
+ if
+ is_tuple(RawType) -> tuple(tuple_to_list(RawType));
+ %% CAUTION: this must handle improper lists
+ is_list(RawType) -> fixed_list(RawType);
+ %% default case (covers integers, floats, atoms, binaries, ...):
+ true -> exactly(RawType)
+ end.
+
+%% @private
+-spec is_type(term()) -> boolean().
+is_type({'$type',_Props}) ->
+ true;
+is_type(_) ->
+ false.
+
+%% @private
+-spec equal_types(proper_types:type(), proper_types:type()) -> boolean().
+equal_types(SameType, SameType) ->
+ true;
+equal_types(_, _) ->
+ false.
+
+%% @private
+-spec is_raw_type(term()) -> boolean().
+is_raw_type({'$type',_TypeProps}) ->
+ true;
+is_raw_type(X) ->
+ if
+ is_tuple(X) -> is_raw_type_list(tuple_to_list(X));
+ is_list(X) -> is_raw_type_list(X);
+ true -> false
+ end.
+
+-spec is_raw_type_list(maybe_improper_list()) -> boolean().
+%% CAUTION: this must handle improper lists
+is_raw_type_list(List) ->
+ proper_arith:safe_any(fun is_raw_type/1, List).
+
+%% @private
+-spec to_binary(proper_types:type()) -> binary().
+to_binary(Type) ->
+ term_to_binary(Type).
+
+%% @private
+%% TODO: restore: -spec from_binary(binary()) -> proper_types:type().
+from_binary(Binary) ->
+ binary_to_term(Binary).
+
+-spec type_from_list([type_prop()]) -> proper_types:type().
+type_from_list(KeyValueList) ->
+ {'$type',KeyValueList}.
+
+-spec add_prop(type_prop_name(), type_prop_value(), proper_types:type()) ->
+ proper_types:type().
+add_prop(PropName, Value, {'$type',Props}) ->
+ {'$type',lists:keystore(PropName, 1, Props, {PropName, Value})}.
+
+-spec add_props([type_prop()], proper_types:type()) -> proper_types:type().
+add_props(PropList, {'$type',OldProps}) ->
+ {'$type', lists:foldl(fun({N,_}=NV,Acc) ->
+ lists:keystore(N, 1, Acc, NV)
+ end, OldProps, PropList)}.
+
+-spec append_to_prop(type_prop_name(), type_prop_value(),
+ proper_types:type()) -> proper_types:type().
+append_to_prop(PropName, Value, {'$type',Props}) ->
+ Val = case lists:keyfind(PropName, 1, Props) of
+ {PropName, V} ->
+ V;
+ _ ->
+ []
+ end,
+ {'$type', lists:keystore(PropName, 1, Props,
+ {PropName, lists:reverse([Value|Val])})}.
+
+-spec append_list_to_prop(type_prop_name(), [type_prop_value()],
+ proper_types:type()) -> proper_types:type().
+append_list_to_prop(PropName, List, {'$type',Props}) ->
+ {PropName, Val} = lists:keyfind(PropName, 1, Props),
+ {'$type', lists:keystore(PropName, 1, Props, {PropName, Val++List})}.
+
+%% @private
+-spec get_prop(type_prop_name(), proper_types:type()) -> type_prop_value().
+get_prop(PropName, {'$type',Props}) ->
+ {_PropName, Val} = lists:keyfind(PropName, 1, Props),
+ Val.
+
+%% @private
+-spec find_prop(type_prop_name(), proper_types:type()) ->
+ {'ok',type_prop_value()} | 'error'.
+find_prop(PropName, {'$type',Props}) ->
+ case lists:keyfind(PropName, 1, Props) of
+ {PropName, Value} ->
+ {ok, Value};
+ _ ->
+ error
+ end.
+
+%% @private
+-spec new_type([type_prop()], type_kind()) -> proper_types:type().
+new_type(PropList, Kind) ->
+ Type = type_from_list(PropList),
+ add_prop(kind, Kind, Type).
+
+%% @private
+-spec subtype([type_prop()], proper_types:type()) -> proper_types:type().
+%% TODO: should the 'is_instance' function etc. be reset for subtypes?
+subtype(PropList, Type) ->
+ add_props(PropList, Type).
+
+%% @private
+-spec is_inst(proper_gen:instance(), raw_type()) ->
+ boolean() | {'error',{'typeserver',term()}}.
+is_inst(Instance, RawType) ->
+ is_inst(Instance, RawType, 10).
+
+%% @private
+-spec is_inst(proper_gen:instance(), raw_type(), size()) ->
+ boolean() | {'error',{'typeserver',term()}}.
+is_inst(Instance, RawType, Size) ->
+ proper:global_state_init_size(Size),
+ Result = safe_is_instance(Instance, RawType),
+ proper:global_state_erase(),
+ Result.
+
+%% @private
+-spec safe_is_instance(proper_gen:imm_instance(), raw_type()) ->
+ boolean() | {'error',{'typeserver',term()}}.
+safe_is_instance(ImmInstance, RawType) ->
+ try is_instance(ImmInstance, RawType) catch
+ throw:{'$typeserver',SubReason} -> {error, {typeserver,SubReason}}
+ end.
+
+%% @private
+-spec is_instance(proper_gen:imm_instance(), raw_type()) -> boolean().
+%% TODO: If the second argument is not a type, let it pass (don't even check for
+%% term equality?) - if it's a raw type, don't cook it, instead recurse
+%% into it.
+is_instance(ImmInstance, RawType) ->
+ CleanInstance = proper_gen:clean_instance(ImmInstance),
+ Type = cook_outer(RawType),
+ (case get_prop(kind, Type) of
+ wrapper -> wrapper_test(ImmInstance, Type);
+ constructed -> constructed_test(ImmInstance, Type);
+ _ -> false
+ end
+ orelse
+ case find_prop(is_instance, Type) of
+ {ok,{typed, IsInstance}} -> IsInstance(Type, ImmInstance);
+ {ok,IsInstance} -> IsInstance(ImmInstance);
+ error -> false
+ end)
+ andalso weakly(satisfies_all(CleanInstance, Type)).
+
+-spec wrapper_test(proper_gen:imm_instance(), proper_types:type()) -> boolean().
+wrapper_test(ImmInstance, Type) ->
+ %% TODO: check if it's actually a raw type that's returned?
+ lists:any(fun(T) -> is_instance(ImmInstance, T) end, unwrap(Type)).
+
+%% @private
+%% TODO: restore:-spec unwrap(proper_types:type()) -> [proper_types:type(),...].
+%% TODO: check if it's actually a raw type that's returned?
+unwrap(Type) ->
+ RawInnerTypes = proper_gen:alt_gens(Type) ++ [proper_gen:normal_gen(Type)],
+ [cook_outer(T) || T <- RawInnerTypes].
+
+-spec constructed_test(proper_gen:imm_instance(), proper_types:type()) ->
+ boolean().
+constructed_test({'$used',ImmParts,ImmInstance}, Type) ->
+ PartsType = get_prop(parts_type, Type),
+ Combine = get_prop(combine, Type),
+ is_instance(ImmParts, PartsType) andalso
+ begin
+ %% TODO: check if it's actually a raw type that's returned?
+ %% TODO: move construction code to proper_gen
+ %% TODO: non-type => should we check for strict term equality?
+ RawInnerType = Combine(proper_gen:clean_instance(ImmParts)),
+ is_instance(ImmInstance, RawInnerType)
+ end;
+constructed_test({'$to_part',ImmInstance}, Type) ->
+ PartsType = get_prop(parts_type, Type),
+ get_prop(shrink_to_parts, Type) =:= true andalso
+ %% TODO: we reject non-container types
+ get_prop(kind, PartsType) =:= container andalso
+ case {find_prop(internal_type,PartsType),
+ find_prop(internal_types,PartsType)} of
+ {{ok,EachPartType},error} ->
+ %% The parts are in a list or a vector.
+ is_instance(ImmInstance, EachPartType);
+ {error,{ok,PartTypesList}} ->
+ %% The parts are in a fixed list.
+ %% TODO: It should always be a proper list.
+ lists:any(fun(T) -> is_instance(ImmInstance,T) end, PartTypesList)
+ end;
+constructed_test(_CleanInstance, _Type) ->
+ %% TODO: can we do anything better?
+ false.
+
+%% @private
+-spec weakly({boolean(),boolean()}) -> boolean().
+weakly({B1,_B2}) -> B1.
+
+%% @private
+-spec strongly({boolean(),boolean()}) -> boolean().
+strongly({_B1,B2}) -> B2.
+
+-spec satisfies(proper_gen:instance(), {constraint_fun(),boolean()})
+ -> {boolean(),boolean()}.
+satisfies(Instance, {Test,false}) ->
+ {true,Test(Instance)};
+satisfies(Instance, {Test,true}) ->
+ Result = Test(Instance),
+ {Result,Result}.
+
+%% @private
+-spec satisfies_all(proper_gen:instance(), proper_types:type()) ->
+ {boolean(),boolean()}.
+satisfies_all(Instance, Type) ->
+ case find_prop(constraints, Type) of
+ {ok, Constraints} ->
+ L = [satisfies(Instance, C) || C <- Constraints],
+ {L1,L2} = lists:unzip(L),
+ {lists:all(fun(B) -> B end, L1), lists:all(fun(B) -> B end, L2)};
+ error ->
+ {true,true}
+ end.
+
+
+%%------------------------------------------------------------------------------
+%% Type definition functions
+%%------------------------------------------------------------------------------
+
+%% @private
+-spec lazy(proper_gen:nosize_generator()) -> proper_types:type().
+lazy(Gen) ->
+ ?WRAPPER([
+ {generator, Gen}
+ ]).
+
+%% @private
+-spec sized(proper_gen:sized_generator()) -> proper_types:type().
+sized(Gen) ->
+ ?WRAPPER([
+ {generator, Gen}
+ ]).
+
+%% @private
+-spec bind(raw_type(), proper_gen:combine_fun(), boolean()) ->
+ proper_types:type().
+bind(RawPartsType, Combine, ShrinkToParts) ->
+ PartsType = cook_outer(RawPartsType),
+ ?CONSTRUCTED([
+ {parts_type, PartsType},
+ {combine, Combine},
+ {shrink_to_parts, ShrinkToParts}
+ ]).
+
+%% @private
+-spec shrinkwith(proper_gen:nosize_generator(), proper_gen:alt_gens()) ->
+ proper_types:type().
+shrinkwith(Gen, DelaydAltGens) ->
+ ?WRAPPER([
+ {generator, Gen},
+ {alt_gens, DelaydAltGens}
+ ]).
+
+%% @private
+-spec add_constraint(raw_type(), constraint_fun(), boolean()) ->
+ proper_types:type().
+add_constraint(RawType, Condition, IsStrict) ->
+ Type = cook_outer(RawType),
+ append_to_prop(constraints, {Condition,IsStrict}, Type).
+
+%% @private
+-spec native_type(mod_name(), string()) -> proper_types:type().
+native_type(Mod, TypeStr) ->
+ ?WRAPPER([
+ {generator, fun() -> proper_gen:native_type_gen(Mod,TypeStr) end}
+ ]).
+
+
+%%------------------------------------------------------------------------------
+%% Basic types
+%%------------------------------------------------------------------------------
+
+%% @doc All integers between `Low' and `High', bounds included.
+%% `Low' and `High' must be Erlang expressions that evaluate to integers, with
+%% `Low =< High'. Additionally, `Low' and `High' may have the value `inf', in
+%% which case they represent minus infinity and plus infinity respectively.
+%% Instances shrink towards 0 if `Low =< 0 =< High', or towards the bound with
+%% the smallest absolute value otherwise.
+-spec integer(extint(), extint()) -> proper_types:type().
+integer(Low, High) ->
+ ?BASIC([
+ {env, {Low, High}},
+ {generator, {typed, fun integer_gen/2}},
+ {is_instance, {typed, fun integer_is_instance/2}},
+ {shrinkers, [fun number_shrinker/3]}
+ ]).
+
+integer_gen(Type, Size) ->
+ {Low, High} = get_prop(env, Type),
+ proper_gen:integer_gen(Size, Low, High).
+
+integer_is_instance(Type, X) ->
+ {Low, High} = get_prop(env, Type),
+ is_integer(X) andalso le(Low, X) andalso le(X, High).
+
+number_shrinker(X, Type, S) ->
+ {Low, High} = get_prop(env, Type),
+ proper_shrink:number_shrinker(X, Low, High, S).
+
+%% @doc All floats between `Low' and `High', bounds included.
+%% `Low' and `High' must be Erlang expressions that evaluate to floats, with
+%% `Low =< High'. Additionally, `Low' and `High' may have the value `inf', in
+%% which case they represent minus infinity and plus infinity respectively.
+%% Instances shrink towards 0.0 if `Low =< 0.0 =< High', or towards the bound
+%% with the smallest absolute value otherwise.
+-spec float(extnum(), extnum()) -> proper_types:type().
+float(Low, High) ->
+ ?BASIC([
+ {env, {Low, High}},
+ {generator, {typed, fun float_gen/2}},
+ {is_instance, {typed, fun float_is_instance/2}},
+ {shrinkers, [fun number_shrinker/3]}
+ ]).
+
+float_gen(Type, Size) ->
+ {Low, High} = get_prop(env, Type),
+ proper_gen:float_gen(Size, Low, High).
+
+float_is_instance(Type, X) ->
+ {Low, High} = get_prop(env, Type),
+ is_float(X) andalso le(Low, X) andalso le(X, High).
+
+%% @private
+-spec le(extnum(), extnum()) -> boolean().
+le(inf, _B) -> true;
+le(_A, inf) -> true;
+le(A, B) -> A =< B.
+
+%% @doc All atoms. All atoms used internally by PropEr start with a '`$'', so
+%% such atoms will never be produced as instances of this type. You should also
+%% refrain from using such atoms in your code, to avoid a potential clash.
+%% Instances shrink towards the empty atom, ''.
+-spec atom() -> proper_types:type().
+atom() ->
+ ?WRAPPER([
+ {generator, fun proper_gen:atom_gen/1},
+ {reverse_gen, fun proper_gen:atom_rev/1},
+ {size_transform, fun(Size) -> erlang:min(Size,255) end},
+ {is_instance, fun atom_is_instance/1}
+ ]).
+
+atom_is_instance(X) ->
+ is_atom(X)
+ %% We return false for atoms starting with '$', since these are
+ %% atoms used internally and never produced by the atom generator.
+ andalso (X =:= '' orelse hd(atom_to_list(X)) =/= $$).
+
+%% @doc All binaries. Instances shrink towards the empty binary, `<<>>'.
+-spec binary() -> proper_types:type().
+binary() ->
+ ?WRAPPER([
+ {generator, fun proper_gen:binary_gen/1},
+ {reverse_gen, fun proper_gen:binary_rev/1},
+ {is_instance, fun erlang:is_binary/1}
+ ]).
+
+%% @doc All binaries with a byte size of `Len'.
+%% `Len' must be an Erlang expression that evaluates to a non-negative integer.
+%% Instances shrink towards binaries of zeroes.
+-spec binary(length()) -> proper_types:type().
+binary(Len) ->
+ ?WRAPPER([
+ {env, Len},
+ {generator, {typed, fun binary_len_gen/1}},
+ {reverse_gen, fun proper_gen:binary_rev/1},
+ {is_instance, {typed, fun binary_len_is_instance/2}}
+ ]).
+
+binary_len_gen(Type) ->
+ Len = get_prop(env, Type),
+ proper_gen:binary_len_gen(Len).
+
+binary_len_is_instance(Type, X) ->
+ Len = get_prop(env, Type),
+ is_binary(X) andalso byte_size(X) =:= Len.
+
+%% @doc All bitstrings. Instances shrink towards the empty bitstring, `<<>>'.
+-spec bitstring() -> proper_types:type().
+bitstring() ->
+ ?WRAPPER([
+ {generator, fun proper_gen:bitstring_gen/1},
+ {reverse_gen, fun proper_gen:bitstring_rev/1},
+ {is_instance, fun erlang:is_bitstring/1}
+ ]).
+
+%% @doc All bitstrings with a bit size of `Len'.
+%% `Len' must be an Erlang expression that evaluates to a non-negative integer.
+%% Instances shrink towards bitstrings of zeroes
+-spec bitstring(length()) -> proper_types:type().
+bitstring(Len) ->
+ ?WRAPPER([
+ {env, Len},
+ {generator, {typed, fun bitstring_len_gen/1}},
+ {reverse_gen, fun proper_gen:bitstring_rev/1},
+ {is_instance, {typed, fun bitstring_len_is_instance/2}}
+ ]).
+
+bitstring_len_gen(Type) ->
+ Len = get_prop(env, Type),
+ proper_gen:bitstring_len_gen(Len).
+
+bitstring_len_is_instance(Type, X) ->
+ Len = get_prop(env, Type),
+ is_bitstring(X) andalso bit_size(X) =:= Len.
+
+%% @doc All lists containing elements of type `ElemType'.
+%% Instances shrink towards the empty list, `[]'.
+-spec list(ElemType::raw_type()) -> proper_types:type().
+% TODO: subtyping would be useful here (list, vector, fixed_list)
+list(RawElemType) ->
+ ElemType = cook_outer(RawElemType),
+ ?CONTAINER([
+ {generator, {typed, fun list_gen/2}},
+ {is_instance, {typed, fun list_is_instance/2}},
+ {internal_type, ElemType},
+ {get_length, fun erlang:length/1},
+ {split, fun lists:split/2},
+ {join, fun lists:append/2},
+ {get_indices, fun list_get_indices/2},
+ {remove, fun proper_arith:list_remove/2},
+ {retrieve, fun lists:nth/2},
+ {update, fun proper_arith:list_update/3}
+ ]).
+
+list_gen(Type, Size) ->
+ ElemType = get_prop(internal_type, Type),
+ proper_gen:list_gen(Size, ElemType).
+
+list_is_instance(Type, X) ->
+ ElemType = get_prop(internal_type, Type),
+ list_test(X, ElemType).
+
+%% @doc A type that generates exactly the list `List'. Instances shrink towards
+%% shorter sublists of the original list.
+-spec shrink_list([term()]) -> proper_types:type().
+shrink_list(List) ->
+ ?CONTAINER([
+ {env, List},
+ {generator, {typed, fun shrink_list_gen/1}},
+ {is_instance, {typed, fun shrink_list_is_instance/2}},
+ {get_length, fun erlang:length/1},
+ {split, fun lists:split/2},
+ {join, fun lists:append/2},
+ {get_indices, fun list_get_indices/2},
+ {remove, fun proper_arith:list_remove/2}
+ ]).
+
+shrink_list_gen(Type) ->
+ get_prop(env, Type).
+
+shrink_list_is_instance(Type, X) ->
+ List = get_prop(env, Type),
+ is_sublist(X, List).
+
+-spec is_sublist([term()], [term()]) -> boolean().
+is_sublist([], _) -> true;
+is_sublist(_, []) -> false;
+is_sublist([H|T1], [H|T2]) -> is_sublist(T1, T2);
+is_sublist(Slice, [_|T2]) -> is_sublist(Slice, T2).
+
+-spec list_test(proper_gen:imm_instance(), proper_types:type()) -> boolean().
+list_test(X, ElemType) ->
+ is_list(X) andalso lists:all(fun(E) -> is_instance(E, ElemType) end, X).
+
+%% @private
+-spec list_get_indices(proper_gen:generator(), list()) -> [position()].
+list_get_indices(_, List) ->
+ lists:seq(1, length(List)).
+
+%% @private
+%% This assumes that:
+%% - instances of size S are always valid instances of size >S
+%% - any recursive calls inside Gen are lazy
+-spec distlist(size(), proper_gen:sized_generator(), boolean()) ->
+ proper_types:type().
+distlist(Size, Gen, NonEmpty) ->
+ ParentType = case NonEmpty of
+ true -> non_empty(list(Gen(Size)));
+ false -> list(Gen(Size))
+ end,
+ ?SUBTYPE(ParentType, [
+ {subenv, {Size, Gen, NonEmpty}},
+ {generator, {typed, fun distlist_gen/1}}
+ ]).
+
+distlist_gen(Type) ->
+ {Size, Gen, NonEmpty} = get_prop(subenv, Type),
+ proper_gen:distlist_gen(Size, Gen, NonEmpty).
+
+%% @doc All lists of length `Len' containing elements of type `ElemType'.
+%% `Len' must be an Erlang expression that evaluates to a non-negative integer.
+-spec vector(length(), ElemType::raw_type()) -> proper_types:type().
+vector(Len, RawElemType) ->
+ ElemType = cook_outer(RawElemType),
+ ?CONTAINER([
+ {env, Len},
+ {generator, {typed, fun vector_gen/1}},
+ {is_instance, {typed, fun vector_is_instance/2}},
+ {internal_type, ElemType},
+ {get_indices, fun vector_get_indices/2},
+ {retrieve, fun lists:nth/2},
+ {update, fun proper_arith:list_update/3}
+ ]).
+
+vector_gen(Type) ->
+ Len = get_prop(env, Type),
+ ElemType = get_prop(internal_type, Type),
+ proper_gen:vector_gen(Len, ElemType).
+
+vector_is_instance(Type, X) ->
+ Len = get_prop(env, Type),
+ ElemType = get_prop(internal_type, Type),
+ is_list(X)
+ andalso length(X) =:= Len
+ andalso lists:all(fun(E) -> is_instance(E, ElemType) end, X).
+
+vector_get_indices(Type, _X) ->
+ lists:seq(1, get_prop(env, Type)).
+
+%% @doc The union of all types in `ListOfTypes'. `ListOfTypes' can't be empty.
+%% The random instance generator is equally likely to choose any one of the
+%% types in `ListOfTypes'. The shrinking subsystem will always try to shrink an
+%% instance of a type union to an instance of the first type in `ListOfTypes',
+%% thus you should write the simplest case first.
+-spec union(ListOfTypes::[raw_type(),...]) -> proper_types:type().
+union(RawChoices) ->
+ Choices = [cook_outer(C) || C <- RawChoices],
+ ?BASIC([
+ {env, Choices},
+ {generator, {typed, fun union_gen/1}},
+ {is_instance, {typed, fun union_is_instance/2}},
+ {shrinkers, [fun union_shrinker_1/3, fun union_shrinker_2/3]}
+ ]).
+
+union_gen(Type) ->
+ Choices = get_prop(env,Type),
+ proper_gen:union_gen(Choices).
+
+union_is_instance(Type, X) ->
+ Choices = get_prop(env, Type),
+ lists:any(fun(C) -> is_instance(X, C) end, Choices).
+
+union_shrinker_1(X, Type, S) ->
+ Choices = get_prop(env, Type),
+ proper_shrink:union_first_choice_shrinker(X, Choices, S).
+
+union_shrinker_2(X, Type, S) ->
+ Choices = get_prop(env, Type),
+ proper_shrink:union_recursive_shrinker(X, Choices, S).
+
+%% @doc A specialization of {@link union/1}, where each type in `ListOfTypes' is
+%% assigned a frequency. Frequencies must be Erlang expressions that evaluate to
+%% positive integers. Types with larger frequencies are more likely to be chosen
+%% by the random instance generator. The shrinking subsystem will ignore the
+%% frequencies and try to shrink towards the first type in the list.
+-spec weighted_union(ListOfTypes::[{frequency(),raw_type()},...]) ->
+ proper_types:type().
+weighted_union(RawFreqChoices) ->
+ CookFreqType = fun({Freq,RawType}) -> {Freq,cook_outer(RawType)} end,
+ FreqChoices = lists:map(CookFreqType, RawFreqChoices),
+ Choices = [T || {_F,T} <- FreqChoices],
+ ?SUBTYPE(union(Choices), [
+ {subenv, FreqChoices},
+ {generator, {typed, fun weighted_union_gen/1}}
+ ]).
+
+weighted_union_gen(Gen) ->
+ FreqChoices = get_prop(subenv, Gen),
+ proper_gen:weighted_union_gen(FreqChoices).
+
+%% @private
+-spec safe_union([raw_type(),...]) -> proper_types:type().
+safe_union(RawChoices) ->
+ Choices = [cook_outer(C) || C <- RawChoices],
+ subtype(
+ [{subenv, Choices},
+ {generator, {typed, fun safe_union_gen/1}}],
+ union(Choices)).
+
+safe_union_gen(Type) ->
+ Choices = get_prop(subenv, Type),
+ proper_gen:safe_union_gen(Choices).
+
+%% @private
+-spec safe_weighted_union([{frequency(),raw_type()},...]) ->
+ proper_types:type().
+safe_weighted_union(RawFreqChoices) ->
+ CookFreqType = fun({Freq,RawType}) ->
+ {Freq,cook_outer(RawType)} end,
+ FreqChoices = lists:map(CookFreqType, RawFreqChoices),
+ Choices = [T || {_F,T} <- FreqChoices],
+ subtype([{subenv, FreqChoices},
+ {generator, {typed, fun safe_weighted_union_gen/1}}],
+ union(Choices)).
+
+safe_weighted_union_gen(Type) ->
+ FreqChoices = get_prop(subenv, Type),
+ proper_gen:safe_weighted_union_gen(FreqChoices).
+
+%% @doc All tuples whose i-th element is an instance of the type at index i of
+%% `ListOfTypes'. Also written simply as a tuple of types.
+-spec tuple(ListOfTypes::[raw_type()]) -> proper_types:type().
+tuple(RawFields) ->
+ Fields = [cook_outer(F) || F <- RawFields],
+ ?CONTAINER([
+ {env, Fields},
+ {generator, {typed, fun tuple_gen/1}},
+ {is_instance, {typed, fun tuple_is_instance/2}},
+ {internal_types, list_to_tuple(Fields)},
+ {get_indices, fun tuple_get_indices/2},
+ {retrieve, fun erlang:element/2},
+ {update, fun tuple_update/3}
+ ]).
+
+tuple_gen(Type) ->
+ Fields = get_prop(env, Type),
+ proper_gen:tuple_gen(Fields).
+
+tuple_is_instance(Type, X) ->
+ Fields = get_prop(env, Type),
+ is_tuple(X) andalso fixed_list_test(tuple_to_list(X), Fields).
+
+tuple_get_indices(Type, _X) ->
+ lists:seq(1, length(get_prop(env, Type))).
+
+-spec tuple_update(index(), value(), tuple()) -> tuple().
+tuple_update(Index, NewElem, Tuple) ->
+ setelement(Index, Tuple, NewElem).
+
+%% @doc Tuples whose elements are all of type `ElemType'.
+%% Instances shrink towards the 0-size tuple, `{}'.
+-spec loose_tuple(ElemType::raw_type()) -> proper_types:type().
+loose_tuple(RawElemType) ->
+ ElemType = cook_outer(RawElemType),
+ ?WRAPPER([
+ {env, ElemType},
+ {generator, {typed, fun loose_tuple_gen/2}},
+ {reverse_gen, {typed, fun loose_tuple_rev/2}},
+ {is_instance, {typed, fun loose_tuple_is_instance/2}}
+ ]).
+
+loose_tuple_gen(Type, Size) ->
+ ElemType = get_prop(env, Type),
+ proper_gen:loose_tuple_gen(Size, ElemType).
+
+loose_tuple_rev(Type, X) ->
+ ElemType = get_prop(env, Type),
+ proper_gen:loose_tuple_rev(X, ElemType).
+
+loose_tuple_is_instance(Type, X) ->
+ ElemType = get_prop(env, Type),
+ is_tuple(X) andalso list_test(tuple_to_list(X), ElemType).
+
+%% @doc Singleton type consisting only of `E'. `E' must be an evaluated term.
+%% Also written simply as `E'.
+-spec exactly(term()) -> proper_types:type().
+exactly(E) ->
+ ?BASIC([
+ {env, E},
+ {generator, {typed, fun exactly_gen/1}},
+ {is_instance, {typed, fun exactly_is_instance/2}}
+ ]).
+
+exactly_gen(Type) ->
+ E = get_prop(env, Type),
+ proper_gen:exactly_gen(E).
+
+exactly_is_instance(Type, X) ->
+ E = get_prop(env, Type),
+ X =:= E.
+
+%% @doc All lists whose i-th element is an instance of the type at index i of
+%% `ListOfTypes'. Also written simply as a list of types.
+-spec fixed_list(ListOfTypes::maybe_improper_list(raw_type(),raw_type()|[])) ->
+ proper_types:type().
+fixed_list(MaybeImproperRawFields) ->
+ %% CAUTION: must handle improper lists
+ {Fields, Internal, Len, Retrieve, Update} =
+ case proper_arith:cut_improper_tail(MaybeImproperRawFields) of
+ % TODO: have cut_improper_tail return the length and use it in test?
+ {ProperRawHead, ImproperRawTail} ->
+ HeadLen = length(ProperRawHead),
+ CookedHead = [cook_outer(F) || F <- ProperRawHead],
+ CookedTail = cook_outer(ImproperRawTail),
+ {{CookedHead,CookedTail},
+ CookedHead ++ CookedTail,
+ HeadLen + 1,
+ fun(I,L) -> improper_list_retrieve(I, L, HeadLen) end,
+ fun(I,V,L) -> improper_list_update(I, V, L, HeadLen) end};
+ ProperRawFields ->
+ LocalFields = [cook_outer(F) || F <- ProperRawFields],
+ {LocalFields,
+ LocalFields,
+ length(ProperRawFields),
+ fun lists:nth/2,
+ fun proper_arith:list_update/3}
+ end,
+ ?CONTAINER([
+ {env, {Fields, Len}},
+ {generator, {typed, fun fixed_list_gen/1}},
+ {is_instance, {typed, fun fixed_list_is_instance/2}},
+ {internal_types, Internal},
+ {get_indices, fun fixed_list_get_indices/2},
+ {retrieve, Retrieve},
+ {update, Update}
+ ]).
+
+fixed_list_gen(Type) ->
+ {Fields, _} = get_prop(env, Type),
+ proper_gen:fixed_list_gen(Fields).
+
+fixed_list_is_instance(Type, X) ->
+ {Fields, _} = get_prop(env, Type),
+ fixed_list_test(X, Fields).
+
+fixed_list_get_indices(Type, _X) ->
+ {_, Len} = get_prop(env, Type),
+ lists:seq(1, Len).
+
+-spec fixed_list_test(proper_gen:imm_instance(),
+ [proper_types:type()] | {[proper_types:type()],
+ proper_types:type()}) ->
+ boolean().
+fixed_list_test(X, {ProperHead,ImproperTail}) ->
+ is_list(X) andalso
+ begin
+ ProperHeadLen = length(ProperHead),
+ proper_arith:head_length(X) >= ProperHeadLen andalso
+ begin
+ {XHead,XTail} = lists:split(ProperHeadLen, X),
+ fixed_list_test(XHead, ProperHead)
+ andalso is_instance(XTail, ImproperTail)
+ end
+ end;
+fixed_list_test(X, ProperFields) ->
+ is_list(X)
+ andalso length(X) =:= length(ProperFields)
+ andalso lists:all(fun({E,T}) -> is_instance(E, T) end,
+ lists:zip(X, ProperFields)).
+
+%% TODO: Move these 2 functions to proper_arith?
+-spec improper_list_retrieve(index(), nonempty_improper_list(value(),value()),
+ pos_integer()) -> value().
+improper_list_retrieve(Index, List, HeadLen) ->
+ case Index =< HeadLen of
+ true -> lists:nth(Index, List);
+ false -> lists:nthtail(HeadLen, List)
+ end.
+
+-spec improper_list_update(index(), value(),
+ nonempty_improper_list(value(),value()),
+ pos_integer()) ->
+ nonempty_improper_list(value(),value()).
+improper_list_update(Index, Value, List, HeadLen) ->
+ case Index =< HeadLen of
+ %% TODO: This happens to work, but is not implied by list_update's spec.
+ true -> proper_arith:list_update(Index, Value, List);
+ false -> lists:sublist(List, HeadLen) ++ Value
+ end.
+
+%% @doc All pure functions that map instances of `ArgTypes' to instances of
+%% `RetType'. The syntax `function(Arity, RetType)' is also acceptable.
+-spec function(ArgTypes::[raw_type()] | arity(), RetType::raw_type()) ->
+ proper_types:type().
+function(Arity, RawRetType) when is_integer(Arity), Arity >= 0, Arity =< 255 ->
+ RetType = cook_outer(RawRetType),
+ ?BASIC([
+ {env, {Arity, RetType}},
+ {generator, {typed, fun function_gen/1}},
+ {is_instance, {typed, fun function_is_instance/2}}
+ ]);
+function(RawArgTypes, RawRetType) ->
+ function(length(RawArgTypes), RawRetType).
+
+function_gen(Type) ->
+ {Arity, RetType} = get_prop(env, Type),
+ proper_gen:function_gen(Arity, RetType).
+
+function_is_instance(Type, X) ->
+ {Arity, RetType} = get_prop(env, Type),
+ is_function(X, Arity)
+ %% TODO: what if it's not a function we produced?
+ andalso equal_types(RetType, proper_gen:get_ret_type(X)).
+
+%% @doc All Erlang terms (that PropEr can produce). For reasons of efficiency,
+%% functions are never produced as instances of this type.<br />
+%% CAUTION: Instances of this type are expensive to produce, shrink and instance-
+%% check, both in terms of processing time and consumed memory. Only use this
+%% type if you are certain that you need it.
+-spec any() -> proper_types:type().
+any() ->
+ AllTypes = [integer(),float(),atom(),bitstring(),?LAZY(loose_tuple(any())),
+ ?LAZY(list(any()))],
+ ?SUBTYPE(union(AllTypes), [
+ {generator, fun proper_gen:any_gen/1}
+ ]).
+
+
+%%------------------------------------------------------------------------------
+%% Type aliases
+%%------------------------------------------------------------------------------
+
+%% @equiv integer(inf, inf)
+-spec integer() -> proper_types:type().
+integer() -> integer(inf, inf).
+
+%% @equiv integer(0, inf)
+-spec non_neg_integer() -> proper_types:type().
+non_neg_integer() -> integer(0, inf).
+
+%% @equiv integer(1, inf)
+-spec pos_integer() -> proper_types:type().
+pos_integer() -> integer(1, inf).
+
+%% @equiv integer(inf, -1)
+-spec neg_integer() -> proper_types:type().
+neg_integer() -> integer(inf, -1).
+
+%% @equiv integer(Low, High)
+-spec range(extint(), extint()) -> proper_types:type().
+range(Low, High) -> integer(Low, High).
+
+%% @equiv float(inf, inf)
+-spec float() -> proper_types:type().
+float() -> float(inf, inf).
+
+%% @equiv float(0.0, inf)
+-spec non_neg_float() -> proper_types:type().
+non_neg_float() -> float(0.0, inf).
+
+%% @equiv union([integer(), float()])
+-spec number() -> proper_types:type().
+number() -> union([integer(), float()]).
+
+%% @doc The atoms `true' and `false'. Instances shrink towards `false'.
+-spec boolean() -> proper_types:type().
+boolean() -> union(['false', 'true']).
+
+%% @equiv integer(0, 255)
+-spec byte() -> proper_types:type().
+byte() -> integer(0, 255).
+
+%% @equiv integer(0, 16#10ffff)
+-spec char() -> proper_types:type().
+char() -> integer(0, 16#10ffff).
+
+%% @equiv list(any())
+-spec list() -> proper_types:type().
+list() -> list(any()).
+
+%% @equiv loose_tuple(any())
+-spec tuple() -> proper_types:type().
+tuple() -> loose_tuple(any()).
+
+%% @equiv list(char())
+-spec string() -> proper_types:type().
+string() -> list(char()).
+
+%% @equiv weighted_union(FreqChoices)
+-spec wunion([{frequency(),raw_type()},...]) -> proper_types:type().
+wunion(FreqChoices) -> weighted_union(FreqChoices).
+
+%% @equiv any()
+-spec term() -> proper_types:type().
+term() -> any().
+
+%% @equiv union([non_neg_integer() | infinity])
+-spec timeout() -> proper_types:type().
+timeout() -> union([non_neg_integer(), 'infinity']).
+
+%% @equiv integer(0, 255)
+-spec arity() -> proper_types:type().
+arity() -> integer(0, 255).
+
+
+%%------------------------------------------------------------------------------
+%% QuickCheck compatibility types
+%%------------------------------------------------------------------------------
+
+%% @doc Small integers (bound by the current value of the `size' parameter).
+%% Instances shrink towards `0'.
+-spec int() -> proper_types:type().
+int() -> ?SIZED(Size, integer(-Size,Size)).
+
+%% @doc Small non-negative integers (bound by the current value of the `size'
+%% parameter). Instances shrink towards `0'.
+-spec nat() -> proper_types:type().
+nat() -> ?SIZED(Size, integer(0,Size)).
+
+%% @equiv integer()
+-spec largeint() -> proper_types:type().
+largeint() -> integer().
+
+%% @equiv float()
+-spec real() -> proper_types:type().
+real() -> float().
+
+%% @equiv boolean()
+-spec bool() -> proper_types:type().
+bool() -> boolean().
+
+%% @equiv integer(Low, High)
+-spec choose(extint(), extint()) -> proper_types:type().
+choose(Low, High) -> integer(Low, High).
+
+%% @equiv union(Choices)
+-spec elements([raw_type(),...]) -> proper_types:type().
+elements(Choices) -> union(Choices).
+
+%% @equiv union(Choices)
+-spec oneof([raw_type(),...]) -> proper_types:type().
+oneof(Choices) -> union(Choices).
+
+%% @equiv weighted_union(Choices)
+-spec frequency([{frequency(),raw_type()},...]) -> proper_types:type().
+frequency(FreqChoices) -> weighted_union(FreqChoices).
+
+%% @equiv exactly(E)
+-spec return(term()) -> proper_types:type().
+return(E) -> exactly(E).
+
+%% @doc Adds a default value, `Default', to `Type'.
+%% The default serves as a primary shrinking target for instances, while it
+%% is also chosen by the random instance generation subsystem half the time.
+-spec default(raw_type(), raw_type()) -> proper_types:type().
+default(Default, Type) ->
+ union([Default, Type]).
+
+%% @doc All sorted lists containing elements of type `ElemType'.
+%% Instances shrink towards the empty list, `[]'.
+-spec orderedlist(ElemType::raw_type()) -> proper_types:type().
+orderedlist(RawElemType) ->
+ ?LET(L, list(RawElemType), lists:sort(L)).
+
+%% @equiv function(0, RetType)
+-spec function0(raw_type()) -> proper_types:type().
+function0(RetType) ->
+ function(0, RetType).
+
+%% @equiv function(1, RetType)
+-spec function1(raw_type()) -> proper_types:type().
+function1(RetType) ->
+ function(1, RetType).
+
+%% @equiv function(2, RetType)
+-spec function2(raw_type()) -> proper_types:type().
+function2(RetType) ->
+ function(2, RetType).
+
+%% @equiv function(3, RetType)
+-spec function3(raw_type()) -> proper_types:type().
+function3(RetType) ->
+ function(3, RetType).
+
+%% @equiv function(4, RetType)
+-spec function4(raw_type()) -> proper_types:type().
+function4(RetType) ->
+ function(4, RetType).
+
+%% @doc A specialization of {@link default/2}, where `Default' and `Type' are
+%% assigned weights to be considered by the random instance generator. The
+%% shrinking subsystem will ignore the weights and try to shrink using the
+%% default value.
+-spec weighted_default({frequency(),raw_type()}, {frequency(),raw_type()}) ->
+ proper_types:type().
+weighted_default(Default, Type) ->
+ weighted_union([Default, Type]).
+
+
+%%------------------------------------------------------------------------------
+%% Additional type specification functions
+%%------------------------------------------------------------------------------
+
+%% @doc Overrides the `size' parameter used when generating instances of
+%% `Type' with `NewSize'. Has no effect on size-less types, such as unions.
+%% Also, this will not affect the generation of any internal types contained in
+%% `Type', such as the elements of a list - those will still be generated
+%% using the test-wide value of `size'. One use of this function is to modify
+%% types to produce instances that grow faster or slower, like so:
+%% ```?SIZED(Size, resize(Size * 2, list(integer()))'''
+%% The above specifies a list type that grows twice as fast as normal lists.
+-spec resize(size(), Type::raw_type()) -> proper_types:type().
+resize(NewSize, RawType) ->
+ Type = cook_outer(RawType),
+ case find_prop(size_transform, Type) of
+ {ok,Transform} ->
+ add_prop(size_transform, fun(_S) -> Transform(NewSize) end, Type);
+ error ->
+ add_prop(size_transform, fun(_S) -> NewSize end, Type)
+ end.
+
+%% @doc This is a predefined constraint that can be applied to random-length
+%% list and binary types to ensure that the produced values are never empty.
+%%
+%% e.g. {@link list/0}, {@link string/0}, {@link binary/0})
+-spec non_empty(ListType::raw_type()) -> proper_types:type().
+non_empty(RawListType) ->
+ ?SUCHTHAT(L, RawListType, L =/= [] andalso L =/= <<>>).
+
+%% @doc Creates a new type which is equivalent to `Type', but whose instances
+%% are never shrunk by the shrinking subsystem.
+-spec noshrink(Type::raw_type()) -> proper_types:type().
+noshrink(RawType) ->
+ add_prop(noshrink, true, cook_outer(RawType)).
+
+%% @doc Associates the atom key `Parameter' with the value `Value' while
+%% generating instances of `Type'.
+-spec with_parameter(atom(), value(), Type::raw_type()) -> proper_types:type().
+with_parameter(Parameter, Value, RawType) ->
+ with_parameters([{Parameter,Value}], RawType).
+
+%% @doc Similar to {@link with_parameter/3}, but accepts a list of
+%% `{Parameter, Value}' pairs.
+-spec with_parameters([{atom(),value()}], Type::raw_type()) ->
+ proper_types:type().
+with_parameters(PVlist, RawType) ->
+ Type = cook_outer(RawType),
+ case find_prop(parameters, Type) of
+ {ok,Params} when is_list(Params) ->
+ append_list_to_prop(parameters, PVlist, Type);
+ error ->
+ add_prop(parameters, PVlist, Type)
+ end.
+
+%% @doc Returns the value associated with `Parameter', or `Default' in case
+%% `Parameter' is not associated with any value.
+-spec parameter(atom(), value()) -> value().
+parameter(Parameter, Default) ->
+ Parameters =
+ case erlang:get('$parameters') of
+ undefined -> [];
+ List -> List
+ end,
+ proplists:get_value(Parameter, Parameters, Default).
+
+%% @equiv parameter(Parameter, undefined)
+-spec parameter(atom()) -> value().
+parameter(Parameter) ->
+ parameter(Parameter, undefined).