typed-racket/typed-racket-test/unit-tests/subtype-tests.rkt
Andrew Kent 4bfb101677 use bits for base unions, make unions deterministic
This PR primarily changes how we represent Base types and unions of
Base types. Basically, Base types now contain a bits field, which
contains an exact-nonnegative-integer? with exactly one bit set to
1. This allows us to represent unions of Base types by simply OR-ing
together the various base bits. We store these unions in a new type
called a BaseUnion (which contains a field for numeric Base type bits
and a field for non-numeric Base type bits). We can perform set
operations on BaseUnion types rather quickly (using simple bitwise
arithmetic operations).

To make Union and BaseUnion work together nicely, the Union type now
has a field for non-Base types, and a field which contains any and all
Base types placed directly in the Union ( either as a Base if there is
only one, or as a BaseUnion if there are more than one).

Other changes present in this PR:

Base types are now "closed" -- i.e. Base types are only declared in
base-types.rkt and numeric-base-types.rkt with a special macro that
assigns them their respective bits. The constructor make-Base is no
longer provided for miscellaneous usages.

Some singleton Value types were moved to Base so all of our common
unions of basic types can fit into the new BaseUnion type (namely
Null, Void, One, Zero, and the booleans).

A new Val-able match expander lets us match on singleton types that
used to all be Value types, but, as described above, now some are Base
types.

Unions contain deterministically ordered, duplicate free lists (in
addition to sets for equality and constant time membership checks), so
iterating over Unions can be done deterministically (yay!) -- this
gets rid of some otherwise problematic behavior in areas like type
inference, where the order Unions are iterated over can actually
affect the results (i.e. if two valid type inferences are possible,
nondeterministic ordering means we can sometimes get one and sometimes
get another, which makes for particularly difficult to debug issues
and in general has no immediate solution (both substitutions are
valid, after all!))
2017-01-05 20:45:17 -05:00

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#lang racket/base
(require "test-utils.rkt"
(types subtype numeric-tower utils abbrev)
(rep type-rep values-rep)
(env init-envs type-env-structs)
rackunit
(for-syntax racket/base))
(provide tests)
(gen-test-main)
(define-for-syntax (single-subtype-test stx)
(syntax-case stx (FAIL)
[(FAIL t s) (syntax/loc stx (test-check (format "FAIL ~a" '(t s)) (lambda (a b) (not (subtype a b))) t s))]
[(t s) (syntax/loc stx (test-check (format "~a" '(t s)) subtype t s))]))
(define-syntax (subtyping-tests stx)
(syntax-case stx ()
[(_ str cl ...)
(with-syntax ([(new-cl ...) (map single-subtype-test (syntax->list #'(cl ...)))])
(syntax/loc stx
(begin (test-suite (format "Tests for subtyping (~a)" str)
new-cl ...))))]))
(define x1 #'x)
(define x2 #'x)
(define A (make-F (gensym 'A)))
(define B (make-F (gensym 'B)))
(define AorB (Un A B))
(define t1a (-mu T (-lst (Un (-v a) T))))
(define t1b (unfold t1a))
(define t2 -Number)
(define-for-syntax (covariant-test stx)
(syntax-case stx ()
[(mk []) (syntax/loc stx
(subtyping-tests
(format "covariant tests for ~a" mk)
[(mk A) (mk A)]
[(mk t1a) (mk t1b)]
[(mk A) (mk AorB)]
[FAIL (mk AorB) (mk A)]
[FAIL (mk Univ) A]
[FAIL A (mk Univ)]))]
[(mk [] [])
(syntax/loc stx
(subtyping-tests
(format "covariant tests for ~a" mk)
[(mk A B) (mk A B)]
[(mk A B) (mk AorB B)]
[(mk A B) (mk A AorB)]
[(mk A B) (mk AorB AorB)]
[(mk t1a t1a) (mk t1b t1b)]
[FAIL (mk AorB B) (mk A B)]
[FAIL (mk A AorB) (mk A B)]
[FAIL (mk AorB AorB) (mk A B)]
[FAIL (mk Univ Univ) A]
[FAIL A (mk Univ Univ)]))]))
(define-syntax (covariant-tests stx)
(syntax-case stx ()
[(_ cl ...)
(with-syntax ([(co-tests ...) (map covariant-test (syntax->list #'(cl ...)))])
(syntax/loc stx
(begin co-tests ...)))]))
(define-for-syntax (invariant-test stx)
(syntax-case stx ()
[(mk () #:top top)
(syntax/loc stx
(subtyping-tests
(format "invariant tests for ~a" mk)
[(mk A) (mk A)]
[(mk t1a) (mk t1b)]
[(mk A) top]
[FAIL top (mk A)]
[FAIL (mk A) (mk AorB)]
[FAIL (mk AorB) (mk A)]
[FAIL (mk Univ) A]
[FAIL A (mk Univ)]))]
[(mk () () #:top top)
(syntax/loc stx
(subtyping-tests
(format "invariant tests for ~a" mk)
[(mk A B) (mk A B)]
[(mk t1a t1a) (mk t1b t1b)]
[(mk A B) top]
[FAIL top (mk A B)]
[FAIL (mk A B) (mk AorB B)]
[FAIL (mk A B) (mk A AorB)]
[FAIL (mk A B) (mk AorB AorB)]
[FAIL (mk AorB B) (mk A B)]
[FAIL (mk A AorB) (mk A B)]
[FAIL (mk AorB AorB) (mk A B)]
[FAIL (mk Univ Univ) A]
[FAIL A (mk Univ Univ)]))]))
(define-syntax (invariant-tests stx)
(syntax-case stx ()
[(_ cl ...)
(with-syntax ([(inv-tests ...) (map invariant-test (syntax->list #'(cl ...)))])
(syntax/loc stx
(begin inv-tests ...)))]))
(define simple-tests
(subtyping-tests
"Simple Subtyping Tests"
;; trivial () examples
[Univ Univ]
[-Bottom Univ]
[-Number Univ]
[-Boolean Univ]
[-Symbol Univ]
[-Void Univ]
[FAIL Univ -Symbol]
[FAIL Univ -Number]
;; Reflexivity
[(-val 6) (-val 6)]
[-Symbol -Symbol]
;; Error
[Err -Number]
[-Number Err]
;; B
[(make-B 0) (make-B 0)]
[FAIL (make-B 0) (make-B 1)]
;; F
[(-v a) (-v a)]
[FAIL (-v a) (-v b)]
;; Value
[(-val 'a) (-val 'a)]
[(-val 'a) -Symbol]
[FAIL -Symbol (-val 'a)]
[FAIL (-val 'a) (-val 'b)]
;; Base
[-String -String]
[FAIL -Symbol -String]
;; Opaque
[(make-Opaque x1) (make-Opaque x2)]
[FAIL (make-Opaque #'a) (make-Opaque #'b)]
;; Refinement
[(make-Refinement A x1) (make-Refinement A x2)]
;[(make-Refinement t1a x1) (make-Refinement t1b x1)]
;[(make-Refinement t1a x1) t1b]
[FAIL (make-Refinement t2 x1) t1b]
[FAIL (make-Refinement A #'a) (make-Refinement A #'b)]
[FAIL (make-Refinement A x1) (make-Refinement B x1)]
;; Distinction
[(-Distinction 'a 'b A) A]
[(-Distinction 'a 'b A) AorB]
[FAIL (-Distinction 'a 'b AorB) A]
))
(define structural-tests
(test-suite
"Structural Subtyping tests"
(covariant-tests
[make-Pair () ()]
[make-Promise ()]
[make-Ephemeron ()]
[make-CustodianBox ()]
[make-Set ()]
[make-Evt ()]
[make-Syntax ()]
[make-Future ()])
(invariant-tests
[make-MPair () () #:top -MPairTop]
[make-Vector () #:top -VectorTop]
[make-Box () #:top -BoxTop]
[make-Channel () #:top -ChannelTop]
[make-Async-Channel () #:top -Async-ChannelTop]
[make-ThreadCell () #:top -ThreadCellTop]
[make-Weak-Box () #:top -Weak-BoxTop]
[make-Hashtable () () #:top -HashtableTop]
[make-Prompt-Tagof () () #:top -Prompt-TagTop]
[make-Continuation-Mark-Keyof () #:top -Continuation-Mark-KeyTop])
(subtyping-tests
"Param"
[(make-Param A B) (make-Param A B)]
[(make-Param A B) (make-Param A AorB)]
[(make-Param AorB B) (make-Param A B)]
[FAIL (make-Param A B) (make-Param AorB B)]
[FAIL (make-Param A AorB) (make-Param A B)])
(subtyping-tests
"Evt special cases"
;; evts
[(-evt t1a) (-evt t1b)]
[FAIL (-evt -Byte) (-evt -String)]
[-Semaphore (-evt -Semaphore)]
[FAIL -Semaphore (-evt -Int)]
[-Output-Port (-evt -Output-Port)]
[FAIL -Output-Port (-evt -Int)]
[-Input-Port (-evt -Input-Port)]
[FAIL -Input-Port (-evt -Int)]
[-TCP-Listener (-evt -TCP-Listener)]
[FAIL -TCP-Listener (-evt -Int)]
[-Thread (-evt -Thread)]
[FAIL -Thread (-evt -Int)]
[-Subprocess (-evt -Subprocess)]
[FAIL -Subprocess (-evt -Int)]
[-Will-Executor (-evt -Will-Executor)]
[FAIL -Will-Executor (-evt -Int)]
[(make-CustodianBox -String) (-evt (make-CustodianBox -String))]
[FAIL (make-CustodianBox -String) (-evt -String)]
[(-channel -String) (-evt -String)]
[FAIL (-channel -String) (-evt -Int)]
[-Log-Receiver (-evt (make-HeterogeneousVector
(list -Symbol -String Univ
(Un -False -Symbol))))]
[FAIL -Log-Receiver (-evt -Int)])
(subtyping-tests
"Sequence special cases"
[(-set -Number) (make-Sequence (list -Number))]
[-FlVector (make-Sequence (list -Flonum))]
[-FlVector (make-Sequence (list -Number))]
[-FxVector (make-Sequence (list -Fixnum))]
[-FxVector (make-Sequence (list -Number))]
[(-val 5) (-seq -Nat)]
[(-val 5) (-seq -Byte)]
[-Index (-seq -Index)]
[-NonNegFixnum (-seq -NonNegFixnum)]
[-Index (-seq -Nat)]
[FAIL (-val -5) (-seq -Nat)]
[FAIL -Fixnum (-seq -Fixnum)]
[FAIL -NonNegFixnum (-seq -Index)]
[FAIL (-val 5.0) (-seq -Nat)]
[(-pair -String (-lst -String)) (-seq -String)]
[FAIL (-pair -String (-lst -Symbol)) (-seq -String)]
[FAIL (-pair -String (-vec -String)) (-seq -String)]
[-Null (-seq -String)]
[(-mpair -String -Null) (-seq -String)]
[(-mlst -String) (-seq -String)]
[(-mpair -String (-mlst -String)) (-seq -String)]
[FAIL (-mpair -String (-mlst -Symbol)) (-seq -String)]
[FAIL (-mpair -String (-vec -String)) (-seq -String)]
[(-mpair -String (-mlst (-val "hello"))) (-seq -String)])
(subtyping-tests
"Other Structural Cases"
[(-Param -String -Symbol) (cl->* (-> -Symbol) (-> -String -Void))]
[(-lst* -Number -Number (-val 'foo)) (-lst (Un -Number -Symbol))])))
(define other-tests
(subtyping-tests
"Other Subtyping Tests"
;; recursive types and unions
[(Un (-pair Univ (-lst Univ)) -Null) (-lst Univ)]
[(-lst* -Number -Number (-val 'foo)) (-lst Univ)]
[(Un (-val #f) (Un (-val 6) (-val 7))) (-mu x (Un -Number (Un -Boolean -Symbol)))]
[(-mu x (Un -Zero (make-Listof x)))
(-mu x (Un -Number (make-Listof x)))]
[(Un -Number (-val #f) (-mu x (Un -Number -Symbol (make-Listof x))))
(-mu x (Un -Number -Symbol -Boolean (make-Listof x)))]
;; sexps vs list*s of nums
[(-mu x (Un -Number -Symbol (make-Listof x))) (-mu x (Un -Number -Symbol -Boolean (make-Listof x)))]
[(-mu x (Un -Number (make-Listof x))) (-mu x (Un -Number -Symbol (make-Listof x)))]
[(-mu x (Un -Number (make-Listof x))) (-mu y (Un -Number -Symbol (make-Listof y)))]
;; a hard one
[(-mu x (Un -Number (-lst* x -Symbol x))) -Sexp]
[t1a (unfold t1a)]
[(unfold t1a) t1a]
;; simple list types
[(make-Listof -Number) (make-Listof Univ)]
[(make-Listof -Number) (make-Listof -Number)]
[FAIL (make-Listof -Number) (make-Listof -Symbol)]
[(-mu x (make-Listof x)) (-mu x* (make-Listof x*))]
[(-pair -Number -Number) (-pair Univ -Number)]
[(-pair -Number -Number) (-pair -Number -Number)]
;; from page 7 (my favorite page! But seriously, page 7 of... what???)
[(-mu t (-> t t)) (-mu s (-> s s))]
[(-mu s (-> -Number s)) (-mu t (-> -Number (-> -Number t)))]
;; not subtypes
[FAIL (-val 'hello) -Number]
[FAIL (-val #f) -Symbol]
[FAIL (Univ Univ -Number -Number . -> . -Number) (Univ Univ Univ . -> . -Number)]
[FAIL (-Number . -> . -Number) (-> Univ Univ)]
[FAIL (Un -Number -Symbol) -Number]
[FAIL -Number (Un (-val 6) (-val 11))]
[FAIL -Symbol (-val 'Sym)]
[FAIL (Un -Symbol -Number) (-poly (a) -Number)]
;; bugs found
[(-poly (a) (make-Listof (-v a))) (make-Listof (-mu x (Un (make-Listof x) -Number)))]
[FAIL (make-Listof (-mu x (Un (make-Listof x) -Number))) (-poly (a) (make-Listof a))]
;; HeterogeneousVector
[(make-HeterogeneousVector (list t1a)) (-vec t1b)]
[(make-HeterogeneousVector (list t1a t1a)) (-vec t1b)]
[FAIL (-vec t1b) (make-HeterogeneousVector (list t1a t1a))]
[FAIL (make-HeterogeneousVector (list t2)) (-vec t1b)]
[FAIL (make-HeterogeneousVector (list t1a t2)) (-vec t1b)]
[(make-HeterogeneousVector (list t1a t1b)) (make-HeterogeneousVector (list t1b t1a))]
[(make-HeterogeneousVector (list t1a t1b)) (make-HeterogeneousVector (list t1b t1a))]
[FAIL (make-HeterogeneousVector (list t1a)) (make-HeterogeneousVector (list t1b t1a))]
[FAIL (make-HeterogeneousVector (list t1a t2)) (make-HeterogeneousVector (list t1b t1a))]
[FAIL (make-HeterogeneousVector (list t2 t1a)) (make-HeterogeneousVector (list t1b t1a))]
))
(define set-theoretic-type-tests
(subtyping-tests
"Set-theoretic Subtyping"
;; Unions
[(-val 0.0f0) -SingleFlonum]
[(-val -0.0f0) -SingleFlonum]
[(-val 1.0f0) -SingleFlonum]
[(-val -34.2f0) -NegSingleFlonum]
[(-val 6) -Number]
[(Un (-val 'foo) (-val 6)) (Un (-val 'foo) (-val 6))]
[(Un -Number) -Number]
[(Un -Number -Number) -Number]
[(Un -Number -Symbol) (Un -Symbol -Number)]
[(Un (-val 6) (-val 7)) -Number]
[(Un (-val #f) (Un (-val 6) (-val 7))) (Un -Number (Un -Boolean -Symbol))]
[(Un -Number (-pair -Number -Number)) (Un -Number -Symbol (-pair Univ Univ))]
[(Un -Number -Symbol (-pair -Number -Number)) (Un -Number -Symbol (-pair Univ Univ))]
;; intersections
[(-unsafe-intersect -Number) -Number]
[(-unsafe-intersect -Number -Symbol) -Number]
[(-unsafe-intersect -Boolean -Number) -Number]
[(-unsafe-intersect -Number -Number) -Number]
[FAIL -Number (-unsafe-intersect -Boolean -Number)]
[(-unsafe-intersect -Boolean -Number) (-unsafe-intersect -Boolean -Number)]
[(-unsafe-intersect -Sexp
(Un -Null (-pair -Sexp (-unsafe-intersect (make-Listof Univ) -Sexp))))
(make-Listof Univ)]
[(-unsafe-intersect (-v A) (-v B))
(Un -String (-unsafe-intersect (-v A) (-v B)))]
))
(define poly-tests
(subtyping-tests
"Polymorphic Subtyping"
[(-poly (t) (-> t t)) (-poly (s) (-> s s))]
[FAIL (make-Listof -Number) (-poly (t) (make-Listof t))]
[(-poly (a) (make-Listof (-v a))) (make-Listof -Number)] ;;
[(-poly (a) -Number) -Number]
[FAIL (-poly (a) (-poly (b) (-pair a b))) (-poly (a) (-poly (b) (-pair b a)))]
;; The following currently are not subtypes, because they are not replaceable
;; in an instantiation context. It may be sound for them to be subtypes but
;; the implications of that change are unknown.
[FAIL (-poly (x) (-lst x)) (-poly (x y) (-lst x))]
[FAIL (-poly (y z) (-lst y)) (-poly (z y) (-lst y))]
[FAIL (-poly (y) (-poly (z) (-pair y z))) (-poly (y z) (-pair y z))]
[FAIL (-poly (y z) (-pair y z)) (-poly (y) (-poly (z) (-pair y z)))]))
(define function-tests
(subtyping-tests
"Function Subtyping"
;; simple function types
[((Un -Symbol -Number) . -> . -Number) (-> -Number -Number)]
[(-poly (t) (-> -Number t)) (-mu t (-> -Number t))]
((Univ . -> . -Number) (-Number . -> . Univ))
[(Univ Univ Univ . -> . -Number) (Univ Univ -Number . -> . -Number)]
;; case-lambda
[(cl-> [(-Number) -Number] [(-Boolean) -Boolean]) (-Number . -> . -Number)]
;; special case for unused variables
[-Number (-poly (a) -Number)]
[FAIL (cl-> [(-Number) -Boolean] [(-Boolean) -Number]) (-Number . -> . -Number)]
;; varargs
[(->* (list -Number) Univ -Boolean) (->* (list -Number) -Number -Boolean)]
[(->* (list Univ) -Number -Boolean) (->* (list -Number) -Number -Boolean)]
[(->* (list -Number) -Number -Boolean) (->* (list -Number) -Number -Boolean)]
[(->* (list -Number) -Number -Boolean) (->* (list -Number) -Number Univ)]
[(->* (list -Number) -Number -Number) (->* (list -Number -Number) -Number)]
[(->* (list -Number) -Number -Number) (->* (list -Number -Number -Number) -Number)]
[(->* (list -Number -Number) -Boolean -Number) (->* (list -Number -Number) -Number)]
[FAIL (->* (list -Number) -Number -Boolean) (->* (list -Number -Number -Number) -Number)]
[(->* (list -Number -Number) -Boolean -Number) (->* (list -Number -Number -Boolean -Boolean) -Number)]
[(-poly (a) (cl-> [() a]
[(-Number) a]))
(cl-> [() (-pair -Number (-v b))]
[(-Number) (-pair -Number (-v b))])]
;; polymorphic function types should be subtypes of the function top
[(-poly (a) (a . -> . a)) top-func]
[FAIL (-> Univ) (null Univ . ->* . Univ)]
[(-poly (b) ((Un (make-Opaque #'dummy)
(-struct #'bar #f
(list (make-fld -Number #'values #f) (make-fld b #'values #f))))
. -> . (-lst b)))
((Un (make-Opaque #'dummy) (-struct #'bar #f (list (make-fld -Number #'values #f) (make-fld (-pair -Number (-v a)) #'values #f))))
. -> . (-lst (-pair -Number (-v a))))]
[(-poly (b) ((-struct #'bar #f (list (make-fld -Number #'values #f) (make-fld b #'values #f))) . -> . (-lst b)))
((-struct #'bar #f (list (make-fld -Number #'values #f) (make-fld (-pair -Number (-v a)) #'values #f)))
. -> .
(-lst (-pair -Number (-v a))))]
[(-poly (a) (a . -> . (make-Listof a))) ((-v b) . -> . (make-Listof (-v b)))]
[(-poly (a) (a . -> . (make-Listof a))) ((-pair -Number (-v b)) . -> . (make-Listof (-pair -Number (-v b))))]
[FAIL (-poly (a b) (-> a a)) (-poly (a b) (-> a b))]
[(cl->* (-Number . -> . -String) (-Boolean . -> . -String)) ((Un -Boolean -Number) . -> . -String)]
[(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))
(-> Univ -Boolean : -tt-propset)]
[(-> Univ -Boolean : -ff-propset)
(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))]
[(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))
(-> (Un -Symbol -String) -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))]
[FAIL
(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))
(-> Univ -Boolean : (-PS (-is-type 0 -String) (-not-type 0 -String)))]
;; subtyping for types inside propositions
[(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))
(-> Univ -Boolean : (-PS (-is-type 0 (-opt -Symbol)) (-not-type 0 -Symbol)))]
[(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 (-opt -Symbol))))
(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))]
[FAIL
(-> Univ -Boolean : (-PS (-is-type 0 (-opt -Symbol)) (-not-type 0 (-opt -Symbol))))
(-> Univ -Boolean : (-PS (-is-type 0 -Symbol) (-not-type 0 -Symbol)))]
[FAIL (make-ListDots (-box (make-F 'a)) 'a) (-lst (-box Univ))]
[(make-ListDots (-> -Symbol (make-F 'a)) 'a) (-lst (-> -Symbol Univ))]
[(-> Univ -Bottom) (-> Univ (-values (list -String -Symbol)))]
[(-> Univ -Bottom) (-> Univ (-values-dots null -String 'x))]
[FAIL (make-pred-ty -String) (-> Univ (-AnyValues (-is-type 0 -String)))]
;; keyword function types
[(->key #:x -Symbol #f Univ) (->key Univ)]
[FAIL (->key #:x -Symbol #t Univ) (->key Univ)]
[FAIL (->key Univ) (->key #:x -Symbol #t Univ)]
[(->key #:x -Symbol #f #:y -Symbol #f Univ) (->key Univ)]
[FAIL (->key #:x -Symbol #f #:y -Symbol #t Univ) (->key Univ)]
[(->key #:x -Symbol #f #:y -Symbol #f Univ) (->key #:x -Symbol #f Univ)]
[(->key #:x -Symbol #f #:y -Symbol #f Univ) (->key #:x -Symbol #t Univ)]
[FAIL (->key #:x -Symbol #f Univ) (->key #:x -Symbol #f #:y -Symbol #f Univ)]
[(->key #:x -Symbol #f #:y -Symbol #f Univ)
(->key #:x -Symbol #t #:y -Symbol #t Univ)]
[FAIL
(->key #:x -Symbol #t #:y -Symbol #f Univ)
(->key #:x -Symbol #f #:y -Symbol #t Univ)]
[(->key #:x (-opt -String) #f #:y -Symbol #f Univ)
(->key #:x -String #t Univ)]
[FAIL
(->key #:x -String #f #:y -Symbol #f Univ)
(->key #:x (-opt -String) #t Univ)]
[(->key -String #:x -Symbol #f #:y -Symbol #f Univ)
(->key -String #:x -Symbol #t Univ)]
[FAIL
(->key -String #:x -Symbol #f #:y -Symbol #f Univ)
(->key -Void #:x -Symbol #t Univ)]
[(->optkey -String [-String] #:x -Symbol #f #:y -Symbol #f Univ)
(->key -String #:x -Symbol #t Univ)]
[(->optkey -String [-String] #:x -Symbol #f #:y -Symbol #f Univ)
(->optkey -String [-String] #:x -Symbol #t Univ)]
[FAIL
(->optkey -String [-String] #:x -Symbol #f #:y -Symbol #f Univ)
(->optkey -String [-Void] #:x -Symbol #t Univ)]
[FAIL
(->key -String #:x -Symbol #f #:y -Symbol #f Univ)
(->optkey -String [-Void] #:x -Symbol #t Univ)]
;; Proposition subtyping
[(make-pred-ty (list -Real) -Boolean (Un (-val 0.0) (-val 0)))
(make-pred-ty (list -Int) -Boolean (-val 0))]
[(-polydots (a) (->... (list Univ) (a a) (make-ValuesDots null a 'a)))
(-polydots (a) (->... (list -String) (a a) (make-ValuesDots null a 'a)))]
[(-polydots (a) (->... null (Univ a) (make-ValuesDots (list (-result a)) a 'a)))
(-polydots (a) (->... null (-String a) (make-ValuesDots (list (-result a)) a 'a)))]
[(-polydots (a) (->... null (a a) (make-ValuesDots (list (-result -String)) -String 'a)))
(-polydots (a) (->... null (a a) (make-ValuesDots (list (-result Univ)) Univ 'a)))]
[(-polydots (a) (->... null (Univ a) (-values (list Univ))))
(->* null Univ Univ)]
;; ListDots
[(-polydots (a) (->... null (a a) (make-ListDots a 'a)))
(-> -String -Symbol (-Tuple (list -String -Symbol)))]
[(-> -String -Symbol (-Tuple (list -String -Symbol)))
(-polydots (a) (-> -String -Symbol (-lst (Un -String -Symbol))))]
[(-polydots (a) (->... null (a a) (make-ListDots a 'a)))
(-poly (a b) (-> a b (-Tuple (list a b))))]
[(-polydots (b a) (-> (->... (list b) (a a) (make-ValuesDots (list (-result b)) a 'a)) Univ))
(-polydots (a) (-> (->... (list) (a a) (make-ValuesDots null a 'a)) Univ))]
[(-polydots (a) (->... (list) (a a) (make-ListDots a 'a)))
(-polydots (b a) (->... (list b) (a a) (-pair b (make-ListDots a 'a))))]
[FAIL
(-polydots (c a b) (->... (list (->... (list a) (b b) c) (-vec a)) ((-vec b) b) (-vec c)))
(->* (list (->* (list) -Symbol -Symbol)) (-vec -Symbol) (-vec -Symbol))]))
(define struct-tests
(subtyping-tests
"Struct Subtyping"
[(-struct x1 #f null) (-struct x2 #f null)]
[(-struct #'a #f (list (make-fld -String #'values #f))) (-struct #'a #f (list (make-fld -String #'values #f)))]
[(-struct #'a #f (list (make-fld -String #'values #f))) (-struct #'a #f (list (make-fld Univ #'values #f)))]
;; prefab structs
[(-prefab 'foo -String) (-prefab 'foo -String)]
[(-prefab 'foo -String) (-prefab 'foo (-opt -String))]
[(-prefab '(bar foo 1) -String -Symbol) (-prefab 'foo -String)]
[(-prefab '(bar foo 1) -String -Symbol) (-prefab 'foo (-opt -String))]
[FAIL
(-prefab '(foo #(0)) -String) (-prefab '(foo #(0)) (-opt -String))]
[(-prefab '(foo 1 #(0)) -String -Symbol)
(-prefab '(foo #(0)) -String)]
[(-prefab '(bar foo 1 #(0)) -String -Symbol)
(-prefab '(foo #(0)) -String)]
[FAIL
(-prefab '(foo #()) -String) (-prefab '(foo #(0)) (-opt -String))]
;; TODO StructType ?
))
(define oo-tests
(subtyping-tests
"Object Oriented Subtyping"
[(-class #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))
(-class #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))]
[(-object #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))
(-object #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))]
[(-object #:method ((m (-> -Nat)) (n (-> -Nat))))
(-object #:method ((m (-> -Nat))))]
[(-object #:method ((f (-> -Nat))) #:augment ((m (-> -Nat)) (n (-> -Nat))))
(-object #:augment ((m (-> -Nat))))]
[(-object #:field ((a -Nat)) #:method ((m (-> -Nat)) (n (-> -Nat))))
(-object #:method ((m (-> -Nat))))]
[(-object #:field ((x -Symbol)))
(-object #:field ((x -Symbol)))]
[(-object #:field ((x -Symbol)))
(-object #:field ((x (Un -Symbol (-val #f)))))]
[FAIL
(-object #:field ((a -Symbol)))
(-object #:field ((x -Symbol)))]
[FAIL
(-object #:field ((a -Symbol)))
(-object #:field ((x -String)))]
[FAIL
(-object #:field ((x -Symbol)))
(-object #:field ((x -String)))]
[FAIL
(-object #:method ((m (-> -String)) (n (-> -String))))
(-object #:method ((x (-> -String))))]
[(-object #:method ((m (-> -String)) (n (-> -String))))
(-object #:method ((m (-> -String))))]
[FAIL
(-object #:method ())
(-object #:method ((m (-> -String))))]
[FAIL
(-object #:method ((m (-> -Nat)) (n (-> -Nat))))
(-object #:method ((l (-> -Nat)) (m (-> -Nat))))]
[(-object #:method ((m (-> -Nat)) (n (-> -Nat))))
(-object #:method ((n (-> -Nat)) (m (-> -Nat))))]
[FAIL
(-class #:method ((m (-> -Nat))))
(-class #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))]
[FAIL
(-class #:method ((m (-> -Nat))) #:augment ((m (-> -Nat))))
(-class #:method ((m (-> -Nat))))]))
(define-for-syntax (single-subval-test stx)
(syntax-case stx (FAIL)
[(FAIL t s) (syntax/loc stx (test-check (format "FAIL ~a" '(t s)) (lambda (a b) (not (subval a b))) t s))]
[(t s) (syntax/loc stx (test-check (format "~a" '(t s)) subval t s))]))
(define-syntax (subval-tests stx)
(syntax-case stx ()
[(_ str cl ...)
(with-syntax ([(new-cl ...) (map single-subval-test (syntax->list #'(cl ...)))])
(syntax/loc stx
(begin (test-suite (format "Tests for subval (~a)" str)
new-cl ...))))]))
(define values-tests
(subval-tests
"SomeValues"
[(-values (list -Number))
(-values (list Univ))]
[FAIL (make-ValuesDots (list) -Symbol 'a)
(make-ValuesDots (list (-result -String)) -String 'a)]
[(-values (list -Bottom))
(-values (list -String -Symbol))]
))
(define tests
(test-suite
"All Subtype Tests"
simple-tests
structural-tests
set-theoretic-type-tests
struct-tests
poly-tests
function-tests
oo-tests
values-tests
other-tests))