|
| 1 | +(* TEST |
| 2 | + * expect |
| 3 | +*) |
| 4 | + |
| 5 | +let poly1 (id : 'a. 'a -> 'a) = id 3, id "three" |
| 6 | +[%%expect {| |
| 7 | +val poly1 : ('a. 'a -> 'a) -> int * string = <fun> |
| 8 | +|}];; |
| 9 | + |
| 10 | +let _ = poly1 (fun x -> x) |
| 11 | +[%%expect {| |
| 12 | +- : int * string = (3, "three") |
| 13 | +|}];; |
| 14 | + |
| 15 | +let _ = poly1 (fun x -> x + 1) |
| 16 | +[%%expect {| |
| 17 | +Line 1, characters 14-30: |
| 18 | +1 | let _ = poly1 (fun x -> x + 1) |
| 19 | + ^^^^^^^^^^^^^^^^ |
| 20 | +Error: This argument has type int -> int which is less general than |
| 21 | + 'a. 'a -> 'a |
| 22 | +|}];; |
| 23 | + |
| 24 | +let id x = x |
| 25 | +let _ = poly1 id |
| 26 | +[%%expect {| |
| 27 | +val id : 'a -> 'a = <fun> |
| 28 | +- : int * string = (3, "three") |
| 29 | +|}];; |
| 30 | + |
| 31 | +let _ = poly1 (id (fun x -> x)) |
| 32 | +[%%expect {| |
| 33 | +Line 1, characters 14-31: |
| 34 | +1 | let _ = poly1 (id (fun x -> x)) |
| 35 | + ^^^^^^^^^^^^^^^^^ |
| 36 | +Error: This argument has type 'b -> 'b which is less general than |
| 37 | + 'a. 'a -> 'a |
| 38 | +|}];; |
| 39 | + |
| 40 | +let _ = poly1 (let r = ref None in fun x -> r := Some x; x) |
| 41 | +[%%expect {| |
| 42 | +Line 1, characters 14-59: |
| 43 | +1 | let _ = poly1 (let r = ref None in fun x -> r := Some x; x) |
| 44 | + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 45 | +Error: This argument has type 'b -> 'b which is less general than |
| 46 | + 'a. 'a -> 'a |
| 47 | +|}];; |
| 48 | + |
| 49 | +let escape f = poly1 (fun x -> f x; x) |
| 50 | +[%%expect {| |
| 51 | +Line 1, characters 21-38: |
| 52 | +1 | let escape f = poly1 (fun x -> f x; x) |
| 53 | + ^^^^^^^^^^^^^^^^^ |
| 54 | +Error: This argument has type 'b -> 'b which is less general than |
| 55 | + 'a. 'a -> 'a |
| 56 | +|}];; |
| 57 | + |
| 58 | +let poly2 : ('a. 'a -> 'a) -> int * string = |
| 59 | + fun id -> id 3, id "three" |
| 60 | +[%%expect {| |
| 61 | +val poly2 : ('a. 'a -> 'a) -> int * string = <fun> |
| 62 | +|}];; |
| 63 | + |
| 64 | +let _ = poly2 (fun x -> x) |
| 65 | +[%%expect {| |
| 66 | +- : int * string = (3, "three") |
| 67 | +|}];; |
| 68 | + |
| 69 | +let _ = poly2 (fun x -> x + 1) |
| 70 | +[%%expect {| |
| 71 | +Line 1, characters 14-30: |
| 72 | +1 | let _ = poly2 (fun x -> x + 1) |
| 73 | + ^^^^^^^^^^^^^^^^ |
| 74 | +Error: This argument has type int -> int which is less general than |
| 75 | + 'a. 'a -> 'a |
| 76 | +|}];; |
| 77 | + |
| 78 | +let poly3 : 'b. ('a. 'a -> 'a) -> 'b -> 'b * 'b option = |
| 79 | + fun id x -> id x, id (Some x) |
| 80 | +[%%expect {| |
| 81 | +val poly3 : ('a. 'a -> 'a) -> 'b -> 'b * 'b option = <fun> |
| 82 | +|}];; |
| 83 | + |
| 84 | +let _ = poly3 (fun x -> x) 8 |
| 85 | +[%%expect {| |
| 86 | +- : int * int option = (8, Some 8) |
| 87 | +|}];; |
| 88 | + |
| 89 | +let _ = poly3 (fun x -> x + 1) 8 |
| 90 | +[%%expect {| |
| 91 | +Line 1, characters 14-30: |
| 92 | +1 | let _ = poly3 (fun x -> x + 1) 8 |
| 93 | + ^^^^^^^^^^^^^^^^ |
| 94 | +Error: This argument has type int -> int which is less general than |
| 95 | + 'a. 'a -> 'a |
| 96 | +|}];; |
| 97 | + |
| 98 | +let rec poly4 p (id : 'a. 'a -> 'a) = |
| 99 | + if p then poly4 false id else id 4, id "four" |
| 100 | +[%%expect {| |
| 101 | +val poly4 : bool -> ('a. 'a -> 'a) -> int * string = <fun> |
| 102 | +|}];; |
| 103 | + |
| 104 | +let _ = poly4 true (fun x -> x) |
| 105 | +[%%expect {| |
| 106 | +- : int * string = (4, "four") |
| 107 | +|}];; |
| 108 | + |
| 109 | +let _ = poly4 true (fun x -> x + 1) |
| 110 | +[%%expect {| |
| 111 | +Line 1, characters 19-35: |
| 112 | +1 | let _ = poly4 true (fun x -> x + 1) |
| 113 | + ^^^^^^^^^^^^^^^^ |
| 114 | +Error: This argument has type int -> int which is less general than |
| 115 | + 'a. 'a -> 'a |
| 116 | +|}];; |
| 117 | + |
| 118 | +let rec poly5 : bool -> ('a. 'a -> 'a) -> int * string = |
| 119 | + fun p id -> |
| 120 | + if p then poly5 false id else id 5, id "five" |
| 121 | +[%%expect {| |
| 122 | +val poly5 : bool -> ('a. 'a -> 'a) -> int * string = <fun> |
| 123 | +|}];; |
| 124 | + |
| 125 | +let _ = poly5 true (fun x -> x) |
| 126 | +[%%expect {| |
| 127 | +- : int * string = (5, "five") |
| 128 | +|}];; |
| 129 | + |
| 130 | +let _ = poly5 true (fun x -> x + 1) |
| 131 | +[%%expect {| |
| 132 | +Line 1, characters 19-35: |
| 133 | +1 | let _ = poly5 true (fun x -> x + 1) |
| 134 | + ^^^^^^^^^^^^^^^^ |
| 135 | +Error: This argument has type int -> int which is less general than |
| 136 | + 'a. 'a -> 'a |
| 137 | +|}];; |
| 138 | + |
| 139 | + |
| 140 | +let rec poly6 : 'b. bool -> ('a. 'a -> 'a) -> 'b -> 'b * 'b option = |
| 141 | + fun p id x -> |
| 142 | + if p then poly6 false id x else id x, id (Some x) |
| 143 | +[%%expect {| |
| 144 | +val poly6 : bool -> ('a. 'a -> 'a) -> 'b -> 'b * 'b option = <fun> |
| 145 | +|}];; |
| 146 | + |
| 147 | +let _ = poly6 true (fun x -> x) 8 |
| 148 | +[%%expect {| |
| 149 | +- : int * int option = (8, Some 8) |
| 150 | +|}];; |
| 151 | + |
| 152 | +let _ = poly6 true (fun x -> x + 1) 8 |
| 153 | +[%%expect {| |
| 154 | +Line 1, characters 19-35: |
| 155 | +1 | let _ = poly6 true (fun x -> x + 1) 8 |
| 156 | + ^^^^^^^^^^^^^^^^ |
| 157 | +Error: This argument has type int -> int which is less general than |
| 158 | + 'a. 'a -> 'a |
| 159 | +|}];; |
| 160 | + |
| 161 | +let needs_magic (magic : 'a 'b. 'a -> 'b) = (magic 5 : string) |
| 162 | +let _ = needs_magic (fun x -> x) |
| 163 | +[%%expect {| |
| 164 | +val needs_magic : ('a 'b. 'a -> 'b) -> string = <fun> |
| 165 | +Line 2, characters 20-32: |
| 166 | +2 | let _ = needs_magic (fun x -> x) |
| 167 | + ^^^^^^^^^^^^ |
| 168 | +Error: This argument has type 'c. 'c -> 'c which is less general than |
| 169 | + 'a 'b. 'a -> 'b |
| 170 | +|}];; |
| 171 | + |
| 172 | +let with_id (f : ('a. 'a -> 'a) -> 'b) = f (fun x -> x) |
| 173 | +[%%expect {| |
| 174 | +val with_id : (('a. 'a -> 'a) -> 'b) -> 'b = <fun> |
| 175 | +|}];; |
| 176 | + |
| 177 | +let _ = with_id (fun id -> id 4, id "four") |
| 178 | +[%%expect {| |
| 179 | +- : int * string = (4, "four") |
| 180 | +|}];; |
| 181 | + |
| 182 | +let non_principal1 p f = |
| 183 | + if p then with_id f |
| 184 | + else f (fun x -> x) |
| 185 | +[%%expect {| |
| 186 | +val non_principal1 : bool -> (('a. 'a -> 'a) -> 'b) -> 'b = <fun> |
| 187 | +|}, Principal{| |
| 188 | +Line 3, characters 7-21: |
| 189 | +3 | else f (fun x -> x) |
| 190 | + ^^^^^^^^^^^^^^ |
| 191 | +Warning 18 [not-principal]: applying a higher-rank function here is not principal. |
| 192 | +val non_principal1 : bool -> (('a. 'a -> 'a) -> 'b) -> 'b = <fun> |
| 193 | +|}];; |
| 194 | + |
| 195 | +let non_principal2 p f = |
| 196 | + if p then f (fun x -> x) |
| 197 | + else with_id f |
| 198 | +[%%expect {| |
| 199 | +Line 3, characters 15-16: |
| 200 | +3 | else with_id f |
| 201 | + ^ |
| 202 | +Error: This expression has type ('b -> 'b) -> 'c |
| 203 | + but an expression was expected of type ('a. 'a -> 'a) -> 'd |
| 204 | + The universal variable 'a would escape its scope |
| 205 | +|}];; |
| 206 | + |
| 207 | +let principal1 p (f : ('a. 'a -> 'a) -> 'b) = |
| 208 | + if p then f (fun x -> x) |
| 209 | + else with_id f |
| 210 | +[%%expect {| |
| 211 | +val principal1 : bool -> (('a. 'a -> 'a) -> 'b) -> 'b = <fun> |
| 212 | +|}];; |
| 213 | + |
| 214 | +let principal2 : bool -> (('a. 'a -> 'a) -> 'b) -> 'b = |
| 215 | + fun p f -> |
| 216 | + if p then f (fun x -> x) |
| 217 | + else with_id f |
| 218 | +[%%expect {| |
| 219 | +val principal2 : bool -> (('a. 'a -> 'a) -> 'b) -> 'b = <fun> |
| 220 | +|}];; |
| 221 | + |
| 222 | +type poly = ('a. 'a -> 'a) -> int * string |
| 223 | + |
| 224 | +let principal3 : poly option list = [ None; Some (fun x -> x 5, x "hello") ] |
| 225 | +[%%expect {| |
| 226 | +type poly = ('a. 'a -> 'a) -> int * string |
| 227 | +val principal3 : poly option list = [None; Some <fun>] |
| 228 | +|}];; |
| 229 | + |
| 230 | +let non_principal3 = |
| 231 | + [ (Some (fun x -> x 5, x "hello") : poly option); |
| 232 | + Some (fun y -> y 6, y "goodbye") ] |
| 233 | +[%%expect {| |
| 234 | +val non_principal3 : poly option list = [Some <fun>; Some <fun>] |
| 235 | +|}, Principal{| |
| 236 | +Line 3, characters 9-36: |
| 237 | +3 | Some (fun y -> y 6, y "goodbye") ] |
| 238 | + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 239 | +Warning 18 [not-principal]: this higher-rank function is not principal. |
| 240 | +val non_principal3 : poly option list = [Some <fun>; Some <fun>] |
| 241 | +|}];; |
| 242 | + |
| 243 | +let non_principal4 = |
| 244 | + [ Some (fun y -> y 6, y "goodbye"); |
| 245 | + (Some (fun x -> x 5, x "hello") : poly option) ] |
| 246 | +[%%expect {| |
| 247 | +Line 2, characters 26-35: |
| 248 | +2 | [ Some (fun y -> y 6, y "goodbye"); |
| 249 | + ^^^^^^^^^ |
| 250 | +Error: This expression has type string but an expression was expected of type |
| 251 | + int |
| 252 | +|}];; |
| 253 | + |
| 254 | +(* Functions with polymorphic parameters are separate from other functions *) |
| 255 | +type 'a arg = 'b |
| 256 | + constraint 'a = 'b -> 'c |
| 257 | +type really_poly = (('a. 'a -> 'a) -> string) arg |
| 258 | +[%%expect {| |
| 259 | +type 'a arg = 'b constraint 'a = 'b -> 'c |
| 260 | +Line 3, characters 20-44: |
| 261 | +3 | type really_poly = (('a. 'a -> 'a) -> string) arg |
| 262 | + ^^^^^^^^^^^^^^^^^^^^^^^^ |
| 263 | +Error: This type ('a. 'a -> 'a) -> string should be an instance of type |
| 264 | + 'b -> 'c |
| 265 | + The universal variable 'a would escape its scope |
| 266 | +|}];; |
| 267 | + |
| 268 | +(* Polymorphic parameters are (mostly) treated as invariant *) |
| 269 | +type p1 = ('a. 'a -> 'a) -> int |
| 270 | +type p2 = ('a 'b. 'a -> 'b) -> int |
| 271 | +[%%expect {| |
| 272 | +type p1 = ('a. 'a -> 'a) -> int |
| 273 | +type p2 = ('a 'b. 'a -> 'b) -> int |
| 274 | +|}];; |
| 275 | + |
| 276 | +let foo (f : p1) : p2 = f |
| 277 | +[%%expect {| |
| 278 | +Line 1, characters 24-25: |
| 279 | +1 | let foo (f : p1) : p2 = f |
| 280 | + ^ |
| 281 | +Error: This expression has type p1 = ('a. 'a -> 'a) -> int |
| 282 | + but an expression was expected of type p2 = ('a 'b. 'a -> 'b) -> int |
| 283 | + Type 'a is not compatible with type 'b |
| 284 | +|}];; |
| 285 | + |
| 286 | +let foo f = (f : p1 :> p2) |
| 287 | +[%%expect {| |
| 288 | +Line 1, characters 12-26: |
| 289 | +1 | let foo f = (f : p1 :> p2) |
| 290 | + ^^^^^^^^^^^^^^ |
| 291 | +Error: Type p1 = ('a. 'a -> 'a) -> int is not a subtype of |
| 292 | + p2 = ('a 'b. 'a -> 'b) -> int |
| 293 | + Type 'b is not a subtype of 'a |
| 294 | +|}];; |
| 295 | + |
| 296 | +module Foo (X : sig val f : p1 end) : sig val f : p2 end = X |
| 297 | +[%%expect {| |
| 298 | +Line 1, characters 59-60: |
| 299 | +1 | module Foo (X : sig val f : p1 end) : sig val f : p2 end = X |
| 300 | + ^ |
| 301 | +Error: Signature mismatch: |
| 302 | + Modules do not match: |
| 303 | + sig val f : p1 end |
| 304 | + is not included in |
| 305 | + sig val f : p2 end |
| 306 | + Values do not match: val f : p1 is not included in val f : p2 |
| 307 | + The type p1 = ('a. 'a -> 'a) -> int is not compatible with the type |
| 308 | + p2 = ('a 'b. 'a -> 'b) -> int |
| 309 | + Type 'a is not compatible with type 'b |
| 310 | +|}];; |
| 311 | + |
| 312 | +let foo (f : p1) : p2 = (fun id -> f id) |
| 313 | +[%%expect {| |
| 314 | +val foo : p1 -> p2 = <fun> |
| 315 | +|}];; |
| 316 | + |
| 317 | +(* Following the existing behaviour for polymorphic methods, you can |
| 318 | + subtype from a polymorphic parameter to a monomorphic |
| 319 | + parameter. Elsewhere it still behaves as invariant. *) |
| 320 | +type p1 = (bool -> bool) -> int |
| 321 | +type p2 = ('a. 'a -> 'a) -> int |
| 322 | + |
| 323 | +let foo (x : p1) : p2 = x |
| 324 | +[%%expect {| |
| 325 | +type p1 = (bool -> bool) -> int |
| 326 | +type p2 = ('a. 'a -> 'a) -> int |
| 327 | +Line 4, characters 24-25: |
| 328 | +4 | let foo (x : p1) : p2 = x |
| 329 | + ^ |
| 330 | +Error: This expression has type p1 = (bool -> bool) -> int |
| 331 | + but an expression was expected of type p2 = ('a. 'a -> 'a) -> int |
| 332 | + Type bool is not compatible with type 'a |
| 333 | +|}];; |
| 334 | + |
| 335 | +let foo x = (x : p1 :> p2) |
| 336 | +[%%expect {| |
| 337 | +val foo : p1 -> p2 = <fun> |
| 338 | +|}];; |
| 339 | + |
| 340 | +module Foo (X : sig val f : p1 end) : sig val f : p2 end = X |
| 341 | +[%%expect {| |
| 342 | +Line 1, characters 59-60: |
| 343 | +1 | module Foo (X : sig val f : p1 end) : sig val f : p2 end = X |
| 344 | + ^ |
| 345 | +Error: Signature mismatch: |
| 346 | + Modules do not match: |
| 347 | + sig val f : p1 end |
| 348 | + is not included in |
| 349 | + sig val f : p2 end |
| 350 | + Values do not match: val f : p1 is not included in val f : p2 |
| 351 | + The type p1 = (bool -> bool) -> int is not compatible with the type |
| 352 | + p2 = ('a. 'a -> 'a) -> int |
| 353 | + Type bool is not compatible with type 'a |
| 354 | +|}];; |
| 355 | + |
| 356 | +let foo (f : p1) : p2 = (fun id -> f id) |
| 357 | +[%%expect {| |
| 358 | +val foo : p1 -> p2 = <fun> |
| 359 | +|}];; |
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