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oclc.pl
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oclc.pl
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:- set_prolog_flag(double_quotes, chars).
:- use_module(library(dcg/basics)).
% OCL core (OCL-) module
% -- INTERFACE---------------------------------------------------------------
%
% OCL- parser - parsing OCL- specifications
%
% parse_oclc( Spec, Tree )
%
% Parse an OCL specification stored in a string. No type checking is perfomed
% at this stage.
% - Spec: (Input) OCL- Specification, between double quotes.
% - Tree: (Output) Parse tree of the specification.
%
%
% Example:
% ?- parse_ocls( "true" , X)
% X = spec( [bool_const(1)] )
parse_oclc(Spec, Tree) :-
( phrase(spec(Tree), Spec) ->
!
; write('Error: Parse error reading - '),
atom_string(X, Spec),
write(X), nl,
fail
).
%
% OCL- expression parser - parsing an isolated expression
%
% parse_oclc_expr( ExprSpec, Tree )
%
% Parse an OCL- expression stored in a string. The method builds a fake invariant
% around the expression before passing it to the parser.
% No type checking is perfomed at this stage.
% - ExprSpec: (Input) An OCL- expression, between double quotes.
% - Tree: (Output) Parse tree of the expression.
%
%
% Example:
% ?- parse_oclc_expr( "true" , X)
% X = bool_const(1)
parse_oclc_expr( Spec, Tree ) :-
parse_oclc( Spec, spec([Tree]) ).
%
% OCL- type-checker - checking a specification in a parse tree
%
% type_check_oclc( Model, Tree, Type )
%
% Compute the type of an expression OCL- (stored as a parse tree) and check
% the types of subexpressions.
% - Tree (Input) Parse tree of the specification.
% - Type: (Output) Type of the expression.
%
% Example:
% ?- type_check_oclc( plus(int_const(1), int_const(2))] , X)
% X = ctype(integer, 0, 1, undef, undef)
type_check_oclc( Expr, Type ) :-
( type_check_oclc([], Expr, TheType) ->
Type = TheType
; write('Error: Type error in expression - '),
write(Expr), nl,
fail
).
%
% OCL- type-checker - checking a OCL- expression in a string
%
% type_check_oclc_expr( Spec, Type )
%
% Compute the type of an expression OCL- (stored as a string) and check the
% types of subexpressions.
% The method builds a fake invariant around the expression before passing it
% to the parser. As a result, type checking will fail for expressions
% including the "self" keyword.
% - Model: (Input) List of variable definitions ([] if there are none).
% - Spec: (Input) OCL- Specification, between double quotes.
% - Tree: (Output) Parse tree of the specification.
%
% Example:
% ?- type_check_oclc_expr( "1+2" , X)
% X = ctype(integer, 0, 1, undef, undef)
type_check_oclc_expr( Spec, Type ) :-
parse_oclc_expr(Spec, Tree),
type_check_oclc(Tree, Type).
%
% OCL- evaluator - evaluate a specification in a parse tree
%
% eval_oclc( ExprTree, Model, Result )
%
% Evaluate an expression (provided as a parse tree) and compute the result.
% - Tree: (Input) Parse tree of the expression to be evaluated.
% - Model: (Input) List of variable definitions ([] if there are none).
% - Result:(Output) Value of the result of the expression.
%
% Example:
% ?- eval_oclc( plus(int_const(1), int_const(2)), [] , X)
% X = [3]
%
% OCL# evaluator - from a String
%
% eval_oclc_expr( Spec, Result )
%
% Evaluate an expression (stored in a String) and compute the result.
% - Spec: (Input) OCL- Specification, between double quotes.
% - Result:(Output) Value of the result of the expression.
%
% Example:
% ?- eval_oclc_expr( "1+2", X)
% X = [3]
eval_oclc_expr( Spec, Type ) :-
write("Parsing "),
write(Spec), nl,
parse_oclc_expr(Spec, Tree),
eval_oclc(Tree, [], Type).
% -- IMPLEMENTATION --------------------------------------------------------
%
% OCL- spec
%
% A OCL- specification is a list of expressions
spec(spec([Expr|Rest])) -->
expr(_, Expr),
blanks,
spec(spec(Rest)).
spec(spec([])) -->
blanks.
% Identifier in OCL-
ident(String) -->
string_without(" \t\n\r.,-+*()><=:;|[]?", StringCodes),
{ nth0(0, StringCodes, _),
string_codes(String, StringCodes) }.
% Constant expressions
const_expr(_, bool_const(1)) -->
"true".
const_expr(_, bool_const(0)) -->
"false".
const_expr(_, int_const(X)) -->
integer(X).
ident_expr(_, ident(Name)) -->
ident(Name).
paren_expr(Class, Exp) -->
%paren_expr(Class, paren(Exp)) -->
"(",
blanks,
expr(Class, Exp),
blanks,
")".
all_expr(_, all(Class)) -->
"all",
blanks,
ident(Class).
null_expr(_, null(Type)) -->
"no",
blanks,
type(Type).
%change_sign_expr(Class, negative(Exp)) -->
% "-",
% blanks,
% expr(Class, Exp).
%not_expr(Class, not(Exp)) -->
% "not",
% blanks,
% expr(Class, Exp).
if_expr(Class, Inherited, if_then_else(Inherited, Exp2, Exp3)) -->
"?",
blanks,
expr(Class,Exp2),
blanks,
":",
blanks,
expr(Class,Exp3).
as_expr(_, Inherited, as_type(Inherited, Type)) -->
"as",
blanks,
type(Type).
dot_expr(_, Inherited, property(Inherited, FieldName)) -->
".",
blanks,
ident(FieldName).
merge_expr(Class, Inherited, merge(Inherited, Exp2)) -->
"merge",
blanks,
expr(Class, Exp2).
lift_expr(_, Inherited, lift(Inherited)) -->
blanks,
"lift".
lower_expr(_, Inherited, lower(Inherited)) -->
blanks,
"lower".
iterate_expr(Class, Inherited, iterate(Inherited, Var1, Var2, Exp2, Exp3)) -->
"->",
blanks,
"[",
blanks,
ident(Var1),
blanks,
"|",
blanks,
ident(Var2),
blanks,
"<-",
blanks,
expr(Class, Exp2),
blanks,
"|",
blanks,
expr(Class, Exp3),
blanks,
"]".
eq_expr(Class, equals(Exp1, Exp2)) -->
boolean_expr(Class, Exp1),
blanks,
"=",
blanks,
expr(Class, Exp2).
boolean_expr(Class,Y) -->
plus_minus_expr(Class,X),
blanks,
rest_boolean_expr(Class, X, Y).
rest_boolean_expr(_, Exp, Exp) --> [].
rest_boolean_expr(Class, Exp1, and(Exp1, Exp2)) -->
"and",
blanks,
expr(Class, Exp2).
rest_boolean_expr(Class, Exp1, or(Exp1, Exp2)) -->
"or",
blanks,
expr(Class, Exp2).
rest_boolean_expr(Class, Exp1, exclusive_or(Exp1, Exp2)) -->
"xor",
blanks,
expr(Class, Exp2).
plus_minus_expr(Class, Y) -->
mult_div_expr(Class, X),
blanks,
rest_plus_minus_expr(Class, X, Y).
rest_plus_minus_expr(_, Exp, Exp) --> [].
rest_plus_minus_expr(Class, Exp1, plus(Exp1, Exp2)) -->
"+",
blanks,
expr(Class, Exp2).
rest_plus_minus_expr(Class, Exp1, minus(Exp1, Exp2)) -->
"-",
blanks,
expr(Class, Exp2).
mult_div_expr(Class, Y) -->
left_expr(Class, X),
blanks,
rest_mult_div_expr(Class, X, Y).
rest_mult_div_expr(_, Exp, Exp) --> [].
rest_mult_div_expr(Class, Exp1, mult(Exp1, Exp2)) -->
"*",
blanks,
expr(Class, Exp2).
rest_mult_div_expr(Class, Exp1, divide(Exp1, Exp2)) -->
"/",
blanks,
expr(Class, Exp2).
left_expr(Class, Exp) -->
base_expr(Class, Inherit),
blanks,
rest_expr(Class, Inherit, Exp).
base_expr(Class, Exp) --> const_expr(Class, Exp).
base_expr(Class, Exp) --> all_expr(Class, Exp).
base_expr(Class, Exp) --> null_expr(Class, Exp).
base_expr(Class, Exp) --> ident_expr(Class, Exp).
base_expr(Class, Exp) --> paren_expr(Class, Exp).
expr(Class, Exp) --> eq_expr(Class, Exp).
expr(Class, Exp) --> boolean_expr(Class, Exp).
rest_expr(Class, Inherited, Result) -->
as_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
dot_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
merge_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
lift_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
lower_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
if_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(Class, Inherited, Result) -->
iterate_expr(Class, Inherited, Result1),
rest_expr(Class, Result1, Result).
rest_expr(_, Result, Result) --> [].
% Types in OCL#
type(boolean) -->
"bool".
type(integer) -->
"int".
type(any) -->
"any".
type(class(Name)) -->
ident(Name).
type(set(Type)) -->
"Set",
blanks,
"(",
blanks,
type(Type),
blanks,
")".
type(bag(Type)) -->
"Bag",
blanks,
"(",
blanks,
type(Type),
blanks,
")".
type(sequence(Type)) -->
"Seq",
blanks,
"(",
blanks,
type(Type),
blanks,
")".
type(ordered_set(Type)) -->
"OSet",
blanks,
"(",
blanks,
type(Type),
blanks,
")".
%
% OCL# type checking
%
% Definition of types in OCL#
%
% A type in OCL# is defined as either
% - A base type
% - int
% - boolean
% - any
% - Class;
% - A ctype defined as
% - ctype(Member, Low, Up, Unique, Ordered)
% - Low: minimum multiplicity
% - Up: maximum multiplicity
% - Unique: whether order is relevant
% - Ordered: whether order is relevant
% Check if a type is a base type or a ctype
scalar(integer).
scalar(boolean).
scalar(any).
scalar(class(_)).
scalar(ctype(_, _, _, _, _)).
% Reified version
scalar(integer, 1).
scalar(boolean, 1).
scalar(any, 1).
scalar(class(_), 1).
scalar(ctype(_, _, _, _, _), 0).
% Accessing the components of a ctype
member(ctype(M, _, _, _, _), M).
low(ctype(_, L, _, _, _), L).
upp(ctype(_, _, U, _, _), U).
single(ctype(_, 1, 1, _, _)).
single(ctype(_, L, U, _, _), S) :-
S is (L*U = 1).
unique(ctype(_, _, _, Un, _), Un).
unique(ctype(_, _, _, 1, _)).
ordered(ctype(_, _, _, _, Ord), Ord).
ordered(ctype(_, _, _, _, 1)).
% Create ctypes for singleton, option and collection types
singleton_type(MemberType, Type) :- Type = ctype(MemberType, 1, 1, undef, undef).
option_type(MemberType, Type) :- Type = ctype(MemberType, 0, 1, undef, undef).
set_type(MemberType, Type) :- Type = ctype(MemberType, 0, "*", 1, 0).
bag_type(MemberType, Type) :- Type = ctype(MemberType, 0, "*", 0, 0).
sequence_type(MemberType, Type) :- Type = ctype(MemberType, 0, "*", 0, 1).
ordered_set_type(MemberType, Type) :- Type = ctype(MemberType, 0, "*", 1, 1).
nullable_type(integer, _) :- assertion(fail).
nullable_type(boolean, _) :- assertion(fail).
nullable_type(any, _) :- assertion(fail).
nullable_type(ctype(M, _, U, Un, Ord), ctype(M, 0, U, Un, Ord)).
% Comparing multiplicities
multiplicity_min(X, Y, Min) :-
number(X),
number(Y),
Min is min(X, Y).
multiplicity_min("*", X, X) :- number(X).
multiplicity_min(X, "*", X) :- number(X).
multiplicity_min("*", "*", "*").
multiplicity_max(X, Y, Min) :-
number(X),
number(Y),
Min is max(X, Y).
multiplicity_max("*", X, "*") :- number(X).
multiplicity_max(X, "*", "*") :- number(X).
multiplicity_max("*", "*", "*").
multiplicity_add(X, Y, Add) :-
number(X),
number(Y),
Add is X + Y.
multiplicity_add("*", X, "*") :- number(X).
multiplicity_add(X, "*", "*") :- number(X).
multiplicity_add("*", "*", "*").
multiplicity_mult(X, Y, Mult) :-
number(X),
number(Y),
Mult is X + Y.
multiplicity_mult("*", 0, 0).
multiplicity_mult(0, "*", 0).
multiplicity_mult("*", X, "*") :-
number(X),
X >= 1.
multiplicity_mult(X, "*", "*") :-
number(X),
X >= 1.
multiplicity_mult("*", "*", "*").
multiplicity_less_eq_than(X, X, 1).
multiplicity_less_eq_than(_, "*", 1).
multiplicity_less_eq_than("*", X, 0) :- number(X).
multiplicity_less_eq_than(X, Y, 1) :-
number(X),
number(Y),
(X =< Y).
multiplicity_less_eq_than(X, Y, 0) :-
number(X),
number(Y),
(X > Y).
% subtype( SubType, SuperType ) - reified and non-reified versions
less_than_annotation(X, X, 1).
less_than_annotation(undef, _, 1).
less_than_annotation(X, undef, 0) :- number(X).
less_than_annotation(X, Y, 0) :- number(X), number(Y), (X > Y; X < Y).
subtype(Type, Type).
subtype(_, any).
subtype(ctype(T1, L1, U1, Un1, Or1),
ctype(T2, L2, U2, Un2, Or2)) :-
subtype(T1, T2),
L1 >= L2,
U1 =< U2,
(Un1 = Un2 ; Un1 = undef ),
(Or1 = Or2; Or1 = undef ).
subtype(Type, Type, 1).
subtype(_, any, 1).
%subtype for class names
subtype(boolean, integer, 0).
subtype(integer, boolean, 0).
subtype(boolean, class(_), 0).
subtype(class(_), boolean, 0).
subtype(integer, class(_), 0).
subtype(class(_), integer, 0).
%subtype for class names
subtype(any, integer, 0).
subtype(any, boolean, 0).
subtype(any, class(_), 0).
subtype(any, ctype(_, _, _, _, _), 0).
subtype(ctype(_,_,_,_,_), integer, 0).
subtype(ctype(_,_,_,_,_), boolean, 0).
subtype(ctype(_,_,_,_,_), class(_), 0).
subtype(integer, ctype(_,_,_,_,_), 0).
subtype(boolean, ctype(_,_,_,_,_), 0).
subtype(class(_), ctype(_,_,_,_,_), 0).
subtype(ctype(T1, L1, U1, Un1, Or1),
ctype(T2, L2, U2, Un2, Or2),
IsSubtype) :-
subtype(T1, T2, S1),
multiplicity_less_eq_than(L2, L1, Aux1),
multiplicity_less_eq_than(U1, U2, Aux2),
less_than_annotation(Un1, Un2, Aux3),
less_than_annotation(Or1, Or2, Aux4),
% TODO - Doublecheck the multiplicity/ordering
IsSubtype is S1 * Aux1 * Aux2 * Aux3 * Aux4.
% Least upper bound
lub_annotation(X, X, X).
lub_annotation(undef, X, X).
lub_annotation(X, undef, X).
lub_annotation(X, Y) :- number(X), number(Y), (X > Y; X < Y), assertion(false).
lub_type(any, _, any).
lub_type(_, any, any).
lub_type(boolean, boolean, boolean).
lub_type(integer, integer, integer).
lub_type(boolean, integer, any).
lub_type(boolean, class(_), any).
lub_type(integer, boolean, any).
lub_type(boolean, class(_), any).
lub_type(class(_), boolean, any).
lub_type(class(_), integer, any).
% lub for class names
lub_type(Type1, Type2, Result) :-
Type1 = ctype(T1, L1, U1, Un1, Or1),
Type2 = ctype(T2, L2, U2, _, _),
lub_type(T1, T2, Lub),
multiplicity_min(L1, L2, LLub),
multiplicity_max(U1, U2, ULub),
% TODO - Doublecheck the multiplicity/ordering
Result = ctype(Lub, LLub, ULub, Un1, Or1 ).
% Type check for binary expressions
oclc_type_check_binary_boolean_expr(Model, Exp1, Exp2, Type) :-
type_check_oclc(Model, Exp1, Subtype1),
type_check_oclc(Model, Exp2, Subtype2),
% Subexpression 1 should be boolean with max multiplicity 1
assertion(scalar(Subtype1, 0)),
assertion(member(Subtype1, boolean)),
assertion(upp(Subtype1, 1)),
% Subexpression 2 should be boolean with max multiplicity 1
assertion(scalar(Subtype2, 0)),
assertion(member(Subtype2, boolean)),
assertion(upp(Subtype2, 1)),
low(Subtype1, Low1),
low(Subtype2, Low2),
Low is min(Low1, Low2),
Type = ctype(boolean, Low, 1, undef, undef),
write('- and: '), write(Exp1), write(' , '), write(Exp2), nl,
write(' Type: '), write(Type), nl.
oclc_type_check_binary_integer_expr(Model, Exp1, Exp2, Type) :-
type_check_oclc(Model, Exp1, Subtype1),
type_check_oclc(Model, Exp2, Subtype2),
% Subexpression 1 should be integer with max multiplicity 1
assertion(scalar(Subtype1, 0)),
assertion(member(Subtype1, integer)),
assertion(upp(Subtype1, 1)),
% Subexpression 2 should be integer with max multiplicity 1
assertion(scalar(Subtype2, 0)),
assertion(member(Subtype2, integer)),
assertion(upp(Subtype2, 1)),
low(Subtype1, Low1),
low(Subtype2, Low2),
Low is min(Low1, Low2),
Type = ctype(integer, Low, 1, undef, undef),
write('- Op: '), write(Exp1), write(' , '), write(Exp2), nl,
write(' Type: '), write(Type), nl.
% Type casts (asSet / asBag / asSequence / asOrderedSet)
oclc_type_check_as_collection_expr(_, Subtype, Type, Un, Ord) :-
scalar(Subtype, 1),
Type = ctype(Subtype, 0, "*", Un, Ord).
oclc_type_check_as_collection_expr(_, Subtype, Type, Un, Ord) :-
scalar(Subtype, 0),
member(Subtype, M),
Type = ctype(M, 0, "*", Un, Ord).
% Type checking type declarations
type_check_oclc(_, any, any).
type_check_oclc(_, boolean, boolean).
type_check_oclc(_, integer, integer).
type_check_oclc(_, class(Classname), class(Classname)).
type_check_oclc(Model, set(T), X) :-
type_check_oclc(Model, T, MemberType),
set_type(MemberType, X).
type_check_oclc(Model, bag(T), X) :-
type_check_oclc(Model, T, MemberType),
bag_type(MemberType, X).
type_check_oclc(Model, sequence(T), X) :-
type_check_oclc(Model, T, MemberType),
sequence_type(MemberType, X).
type_check_oclc(Model, ordered_set(T), X) :-
type_check_oclc(Model, T, MemberType),
ordered_set_type(MemberType, X).
% Basic type checking
type_check_oclc(_, spec([]), _).
type_check_oclc(Model, spec([H|T]), _) :-
type_check_oclc(Model, H, Type),
% Outermost expression should be boolean with max multiplicity 1
assertion(scalar(Type, 0)),
assertion(member(Type, boolean)),
assertion(upp(Type, 1)),
write('- Expression: '), write(H), nl,
write(' Type: '), write(Type), nl, nl,
type_check_oclc(Model, spec(T), _).
type_check_oclc(_, int_const(I), Type) :-
singleton_type(integer, Type),
write('- Integer constant '), write(I), nl, write(' Type: '), write(Type), nl.
type_check_oclc(_, bool_const(B), Type) :-
singleton_type(boolean, Type),
write('- Boolean constant '), write(B), nl, write(' Type: '), write(Type), nl.
type_check_oclc(Model, null(T), Type) :-
type_check_oclc(Model, T, Subtype),
option_type(Subtype, Type),
write('- Base type for no: '), write(T), nl,
write('- Output type for no: '), write(Type), nl.
type_check_oclc(_, all(Classname), Type) :-
set_type(class(Classname), Type).
type_check_oclc(Model, and(Exp1, Exp2), Type) :-
oclc_type_check_binary_boolean_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, or(Exp1, Exp2), Type) :-
oclc_type_check_binary_boolean_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, exclusive_or(Exp1, Exp2), Type) :-
oclc_type_check_binary_boolean_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, plus(Exp1, Exp2), Type) :-
oclc_type_check_binary_integer_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, minus(Exp1, Exp2), Type) :-
oclc_type_check_binary_integer_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, mult(Exp1, Exp2), Type) :-
oclc_type_check_binary_integer_expr(Model, Exp1, Exp2, Type).
type_check_oclc(Model, divide(Exp1, Exp2), Type) :-
oclc_type_check_binary_integer_expr(Model, Exp1, Exp2, Type).
%type_check_oclc(Model, as_type(Exp, class(X)), Type) :-
% format('Type:~w~n', [X]),
% atom_chars(X, AB),
% format('Type:~w~n', [AB]),
% format('Type:~w~n', ['Set']),
% compare(Z,X,"Set"),
% format('Type:~w~n', ["Set"]),
% compare(W,AB,"Set"),
% format('Type:~w~n', [W]),
% atom_codes(X, Y),
% format('Type:~w~n', [Y]),
% type_check_oclc(Model, Exp, Subtype),
% oclc_type_check_as_collection_expr(Exp, Subtype, Type, 1, 0).
type_check_oclc(Model, as_type(Exp, class(X)), Type) :-
atom_chars(X, "Set"),
type_check_oclc(Model, Exp, Subtype),
oclc_type_check_as_collection_expr(Exp, Subtype, Type, 1, 0).
type_check_oclc(Model, as_type(Exp, class(X)), Type) :-
atom_chars(X, "Seq"),
type_check_oclc(Model, Exp, Subtype),
oclc_type_check_as_collection_expr(Exp, Subtype, Type, 0, 1).
type_check_oclc(Model, as_type(Exp, class(X)), Type) :-
atom_chars(X, "Bag"),
type_check_oclc(Model, Exp, Subtype),
oclc_type_check_as_collection_expr(Exp, Subtype, Type, 0, 0).
type_check_oclc(Model, as_type(Exp, class(X)), Type) :-
atom_chars(X, "OSet"),
type_check_oclc(Model, Exp, Subtype),
oclc_type_check_as_collection_expr(Exp, Subtype, Type, 1, 1).
type_check_oclc(Model, if_then_else(Exp1, Exp2, Exp3), Type) :-
type_check_oclc(Model, Exp1, Type1),
type_check_oclc(Model, Exp2, Type2),
type_check_oclc(Model, Exp3, Type3),
% Condition should be a boolean with maximum multiplicity 1
assertion(scalar(Type1, 0)),
assertion(member(Type1, boolean)),
assertion(upp(Type1, 1)),
% No conditions on Exp2 or Exp3
lub_type(Type2, Type3, Type),
write('- if then else type: '), write(Type), nl.
type_check_oclc(Model, equals(Exp1, Exp2), Type) :-
type_check_oclc(Model, Exp1, Type1),
type_check_oclc(Model, Exp2, Type2),
% Either Type1 is a subtype of Type2 or vice-versa
subtype(Type1, Type2, IsSubtype1),
subtype(Type2, Type1, IsSubtype2),
assertion(IsSubtype1 + IsSubtype2 >= 1),
% Result is always a boolean type
singleton_type(boolean, Type).
%type_check_oclc(property(Exp1, FieldName), Type) :-
type_check_oclc(Model, ident(String), Type) :-
lookup_variable( Model, String, Type, _ ).
type_check_oclc(Model, merge(Exp1,Exp2), Type) :-
type_check_oclc(Model, Exp1, Type1),
type_check_oclc(Model, Exp2, Type2),
% e1 cannot be an scalar
assertion(scalar(Type1, 0)),
Type1 = ctype(M1, L1, U1, Un1, Ord1),
% e2 cannot be a scalar either
assertion(scalar(Type2, 0)),
Type2 = ctype(M2, L2, U2, _, _),
% Define the resulting type (it has the same uniqueness/ordering as Type1)
Type = ctype(M1, L, U, Un1, Ord1),
% Either Type2 is a collection of elements of type member(Type1)
% or it is an element of type member(Type1)
(
( subtype(Type2, M1, 1) ->
multiplicity_add(U1, 1, U),
( Un1 = 1 -> L = L1; Un1 = 0 -> multiplicity_add(L1, 1, L)))
;
( % subtype(Type2, Type1, 1) ->
subtype(M2, M1, 1)->
%Type2 = ctype(M2, L2, U2, _, _),
multiplicity_add(U1, U2, U),
( Un1 = 1 -> L = L1; Un1 = 0 -> multiplicity_add(L1, L2, L)))
; write('Type2 '), write(Type2), nl,
write('Type1 '), write(Type1), nl,
assertion( false )
).
type_check_oclc(Model, lift(Exp), Type) :-
% Check the type of the expression being lowered
type_check_oclc(Model, Exp, Subtype),
singleton_type(Subtype, Type).
type_check_oclc(Model, lower(Exp), Type) :-
% Check the type of the expression being lowered
type_check_oclc(Model, Exp, Subtype),
% This type cannot be an scalar and must have upper multiplicity equal to 1
assertion(scalar(Subtype, 0)),
assertion(upp(Subtype, 1)),
member(Subtype, Type).
type_check_oclc(Model, iterate(Exp1, Var1, Var2, Exp2, Exp3), Type) :-
% Check value of the initialization expression
type_check_oclc(Model, Exp2, Type2),
nullable_type(Type2, NullableType2),
declare_variable(Model, Var2, NullableType2, _, AuxModel1),
% Exp1 should not be a scalar
type_check_oclc(Model, Exp1, Type1),
assertion(scalar(Type1, 0)),
member(Type1, MemberType),
( scalar(MemberType) ->
write('Member type '), atom_string(MemberType,X), write(X), nl,
singleton_type(MemberType, SingletonType),
declare_variable(AuxModel1, Var1, SingletonType, _, AuxModel2)
; declare_variable(AuxModel1, Var1, MemberType, _, AuxModel2)
),
% Check types of the accumulated expression
type_check_oclc(AuxModel2, Exp3, Type3),
% Type3 should be a subtype of Type2
assertion(subtype(Type2, Type3, 1)),
Type = Type2.
% Missing type checks
% - variable
% - .p
%
% OCL- expression evaluation
%
% eval_oclc(Tree, Model, Result).
% Add elements to the different types of collections
collection_add(Type, Col, Elem, Result) :-
Type = ctype(_, _, _, Un, Ord),
( Un = 1, Ord = 0 -> set_add( Col, Elem, Result )
; Un = 0, Ord = 0 -> bag_add( Col, Elem, Result )
; Un = 0, Ord = 1 -> sequence_add( Col, Elem, Result )
; Un = 1, Ord = 1 -> ordered_set_add( Col, Elem, Result )
).
collection_add_all(Type, Col1, Col2, Result) :-
Type = ctype(_, _, _, Un, Ord),
( Un = 1, Ord = 0 -> set_add_all( Col1, Col2, Result )
; Un = 0, Ord = 0 -> bag_add_all( Col1, Col2, Result )
; Un = 0, Ord = 1 -> sequence_add_all( Col1, Col2, Result )
; Un = 1, Ord = 1 -> ordered_set_add_all( Col1, Col2, Result )
).
set_add( [], Elem , Result ) :-
Result = [ Elem ].
set_add( Set, Elem, Result ) :-
( lists:member(Elem, Set) ->
Result = Set
;
Result = [ Elem | Set ]
).
set_add_all( Col1, [], Result ) :-
Result = Col1.
set_add_all( Col1, [Elem|Rest], Result ) :-
set_add( Col1, Elem, Aux ),
set_add_all( Aux, Rest, Result ).
bag_add( [], Elem, Result ) :-
Result = [ Elem ].
bag_add( Bag, Elem, Result ) :-
Result = [ Elem | Bag ].
bag_add_all( Col1, [], Result ) :-
Result = Col1.
bag_add_all( Col1, [Elem|Rest], Result ) :-
bag_add( Col1, Elem, Aux ),
bag_add_all( Aux, Rest, Result ).
sequence_add( [], Elem, Result ) :-
Result = [ Elem ].
sequence_add( Seq, Elem, Result ) :-
append( Seq, [ Elem ], Result ).
sequence_add_all( Col1, [], Result ) :-
Result = Col1.
sequence_add_all( Col1, [Elem|Rest], Result ) :-
sequence_add( Col1, Elem, Aux ),
sequence_add_all( Aux, Rest, Result ).
ordered_set_add( [], Elem, Result ):-
Result = [ Elem ].
ordered_set_add( OSet, Elem, Result ):-
( lists:member(Elem, OSet) ->
Result = OSet
;
append( OSet, [ Elem ], Result )
).
ordered_set_add_all( Col1, [], Result ) :-
Result = Col1.
ordered_set_add_all( Col1, [Elem|Rest], Result ) :-
ordered_set_add( Col1, Elem, Aux ),
ordered_set_add_all( Aux, Rest, Result ).
% Make a member into a set
make_set( List , Set ) :- list_to_set(List, Set).
% Normalize a given collection
normalize(Exp, Model, Result) :-
eval_oclc(Exp, Model, Value),
type_check_oclc(Model, Exp, Type),
normalize_values(Value, Type, Result).
normalize_values([],_,[]).
normalize_values([Value|Rest], Type, Result) :-
member(Type, MemberType),
normalize_single_value(Value, MemberType, NormValue),
normalize_values(Rest, Type, RestNormValue),
Aux = [ NormValue | RestNormValue],
% Collections where the order of insertions matter should not be changed
% Other collections should have their orders sorted lexicographically
( ordered(Type) ->
Result = Aux
;
msort(Aux, Result)
).
normalize_single_value(Value, Type, Result) :-
% Elements in a collection can be nested
% Check if they are scalar (we are done!) or
% if this value is a nested collection (it must be recursively normalized)
( scalar(Type) ->
Result = Value
;
normalize_values(Value, Type, Result)
).
eval_oclc( null(_), _, [] ).
eval_oclc( int_const(Value), _, [ Value ] ).
eval_oclc( bool_const(Value), _, [ Value ] ).
eval_oclc( and(Exp1, Exp2), Model,[ Result ] ):-
eval_oclc(Exp1, Model, Value1),
eval_oclc(Exp2, Model, Value2),
( Value1 = [] ->
Result = []
;
Value2 = [] ->
Result = []
;
Value1 = [BoolValue1],
Value2 = [BoolValue2],
Result is min(BoolValue1, BoolValue2)
).
eval_oclc( or(Exp1, Exp2), Model, [ Result ] ):-
eval_oclc(Exp1, Model, Value1),
eval_oclc(Exp2, Model, Value2),
( Value1 = [] ->
Result = []
;
Value2 = [] ->
Result = []
;
Value1 = [BoolValue1],
Value2 = [BoolValue2],
Result is max(BoolValue1, BoolValue2)
).
eval_oclc( plus(Exp1, Exp2), Model, [ Result ] ):-
eval_oclc(Exp1, Model, Value1),
eval_oclc(Exp2, Model, Value2),
( Value1 = [] ->
Result = []
;
Value2 = [] ->
Result = []
;
Value1 = [IntValue1],
Value2 = [IntValue2],
Result is IntValue1 + IntValue2
).
eval_oclc( minus(Exp1, Exp2), Model, [ Result ] ):-
eval_oclc(Exp1, Model, Value1),
eval_oclc(Exp2, Model, Value2),
( Value1 = [] ->
Result = []
;
Value2 = [] ->
Result = []
;
Value1 = [IntValue1],
Value2 = [IntValue2],
Result is IntValue1 - IntValue2
).
eval_oclc( mult(Exp1, Exp2), Model, [ Result ] ):-
eval_oclc(Exp1, Model, Value1),
eval_oclc(Exp2, Model, Value2),
( Value1 = [] ->
Result = []