|
| 1 | +(* TEST |
| 2 | + include stdlib_stable; |
| 3 | + flags = "-extension layouts_beta"; |
| 4 | +*) |
| 5 | + |
| 6 | +(* External declarations for unsigned comparison primitives *) |
| 7 | +external unsigned_lt : int16# -> int16# -> bool = "%int16#_unsigned_lessthan" |
| 8 | +external unsigned_gt : int16# -> int16# -> bool = "%int16#_unsigned_greaterthan" |
| 9 | + |
| 10 | +module Int16 = Stdlib_stable.Int16 |
| 11 | +module Int16_u = Stdlib_stable.Int16_u |
| 12 | + |
| 13 | +(* Print all individual successful tests; used for debugging, as it will cause |
| 14 | + this test to fail *) |
| 15 | +let debug_tests = false |
| 16 | + |
| 17 | +(* Constant seed for repeatable random-testing properties *) |
| 18 | +let () = Random.init 42 |
| 19 | + |
| 20 | +let to_ocaml_string s = "\"" ^ String.escaped s ^ "\"" |
| 21 | + |
| 22 | +type 'a result = { |
| 23 | + expected : 'a; |
| 24 | + actual : 'a; |
| 25 | + equal : 'a -> 'a -> bool; |
| 26 | + to_string : 'a -> string |
| 27 | +} |
| 28 | + |
| 29 | +module type Result = sig |
| 30 | + type t |
| 31 | + val equal : t -> t -> bool |
| 32 | + val to_string : t -> string |
| 33 | +end |
| 34 | + |
| 35 | +let mk_result' equal to_string = fun ~expected ~actual -> |
| 36 | + { expected; actual; equal; to_string } |
| 37 | + |
| 38 | +let mk_result (type a) (module M : Result with type t = a) = |
| 39 | + mk_result' M.equal M.to_string |
| 40 | + |
| 41 | +let float_result = mk_result (module Float) |
| 42 | +let bool_result = mk_result (module Bool) |
| 43 | +let int_result = mk_result (module Int) |
| 44 | +let int16_result = mk_result (module Int16) |
| 45 | +let string_result = mk_result' String.equal to_ocaml_string |
| 46 | + |
| 47 | +let option_result (type a) (module M : Result with type t = a) = |
| 48 | + mk_result' |
| 49 | + (Option.equal M.equal) |
| 50 | + (function |
| 51 | + | None -> "None" |
| 52 | + | Some x -> "Some (" ^ M.to_string x ^ ")") |
| 53 | + |
| 54 | +type 'a generator = |
| 55 | + | Rand of (unit -> 'a) |
| 56 | + | Const of 'a |
| 57 | + |
| 58 | +let map_generator f = function |
| 59 | + | Rand r -> Rand (fun () -> f (r ())) |
| 60 | + | Const c -> Const (f c) |
| 61 | + |
| 62 | +type 'a input = { |
| 63 | + generators : 'a generator list; |
| 64 | + to_string : 'a -> string |
| 65 | +} |
| 66 | + |
| 67 | +module type Integer = sig |
| 68 | + type t |
| 69 | + (* Interesting constants *) |
| 70 | + val zero : t |
| 71 | + val one : t |
| 72 | + val minus_one : t |
| 73 | + val max_int : t |
| 74 | + val min_int : t |
| 75 | + (* String generation *) |
| 76 | + val to_string : t -> string |
| 77 | + (* Comparison (for zero-testing) *) |
| 78 | + val equal : t -> t -> bool |
| 79 | + (* Arithmetic (for generating small numbers) *) |
| 80 | + val sub : t -> t -> t |
| 81 | + val shift_left : t -> int -> t |
| 82 | +end |
| 83 | + |
| 84 | +let one_thousand (type a) (module I : Integer with type t = a) = |
| 85 | + let open I in |
| 86 | + let i1024 = shift_left one 10 in |
| 87 | + let i16 = shift_left one 4 in |
| 88 | + let i8 = shift_left one 3 in |
| 89 | + sub (sub i1024 i16) i8 |
| 90 | + |
| 91 | +let two_thousand (type a) (module I : Integer with type t = a) = |
| 92 | + I.shift_left (one_thousand (module I)) 1 |
| 93 | + |
| 94 | +let unit_input = |
| 95 | + { generators = [Const ()] |
| 96 | + ; to_string = Unit.to_string |
| 97 | + } |
| 98 | + |
| 99 | +let bool_input = |
| 100 | + { generators = [Const false; Const true] |
| 101 | + ; to_string = Bool.to_string |
| 102 | + } |
| 103 | + |
| 104 | +let float_input = |
| 105 | + { generators = [ Const 0. |
| 106 | + ; Const 1. |
| 107 | + ; Const (-1.) |
| 108 | + ; Const Float.max_float |
| 109 | + ; Const Float.min_float |
| 110 | + ; Const Float.epsilon |
| 111 | + ; Const Float.nan |
| 112 | + ; Const Float.infinity |
| 113 | + ; Const Float.neg_infinity |
| 114 | + ; Rand (fun () -> Random.float 2000. -. 1000.) |
| 115 | + ; Rand (fun () -> Int64.float_of_bits (Random.bits64 ())) |
| 116 | + ] |
| 117 | + ; to_string = Float.to_string |
| 118 | + } |
| 119 | + |
| 120 | +let integer_input |
| 121 | + (type a) (module I : Integer with type t = a) |
| 122 | + rand_range rand_full = |
| 123 | + let rand_small () = |
| 124 | + let i0_to_2000 = rand_range (two_thousand (module I)) in |
| 125 | + I.sub i0_to_2000 (one_thousand (module I)) |
| 126 | + in |
| 127 | + { generators = [ Const I.zero |
| 128 | + ; Const I.one |
| 129 | + ; Const I.minus_one |
| 130 | + ; Const I.max_int |
| 131 | + ; Const I.min_int |
| 132 | + ; Rand rand_small |
| 133 | + ; Rand rand_full |
| 134 | + ] |
| 135 | + ; to_string = I.to_string |
| 136 | + } |
| 137 | + |
| 138 | +let nonzero_integer_input |
| 139 | + (type a) (module I : Integer with type t = a) |
| 140 | + rand_range rand_full = |
| 141 | + let { generators; to_string } = |
| 142 | + integer_input (module I) rand_range rand_full |
| 143 | + in |
| 144 | + let generators = |
| 145 | + generators |> |
| 146 | + List.filter_map |
| 147 | + (function |
| 148 | + | Const c -> |
| 149 | + if I.equal c I.zero |
| 150 | + then None |
| 151 | + else Some (Const c) |
| 152 | + | Rand r -> |
| 153 | + Some (Rand (fun () -> |
| 154 | + let n = ref I.zero in |
| 155 | + while I.equal !n I.zero do |
| 156 | + n := r () |
| 157 | + done; |
| 158 | + !n))) |
| 159 | + in |
| 160 | + { generators; to_string } |
| 161 | + |
| 162 | +let random_int16 x = Int16.of_int (Random.int (Int16.to_int x)) |
| 163 | +let random_bits16 x = Int16.of_int (Random.bits ()) |
| 164 | + |
| 165 | +let int_input = integer_input (module Int) Random.int Random.bits |
| 166 | +let int16_input = integer_input (module Int16) random_int16 random_bits16 |
| 167 | +let nonzero_int16_input = |
| 168 | + nonzero_integer_input (module Int16) random_int16 random_bits16 |
| 169 | + |
| 170 | +let int16_shift_amount_input = |
| 171 | + { generators = List.init 16 (fun c -> Const c) |
| 172 | + ; to_string = Int.to_string |
| 173 | + } |
| 174 | + |
| 175 | +let int16_string_input = |
| 176 | + { generators = List.map |
| 177 | + (map_generator Int16.to_string) |
| 178 | + int16_input.generators |
| 179 | + ; to_string = to_ocaml_string |
| 180 | + } |
| 181 | + |
| 182 | +let product2 ~f xs ys = |
| 183 | + List.concat_map (fun x -> |
| 184 | + List.map (fun y -> |
| 185 | + f x y) |
| 186 | + ys) |
| 187 | + xs |
| 188 | + |
| 189 | +let two_inputs in1 in2 = |
| 190 | + { generators = product2 in1.generators in2.generators ~f:(fun gen1 gen2 -> |
| 191 | + match gen1, gen2 with |
| 192 | + | Const c1, Const c2 -> Const (c1, c2) |
| 193 | + | Const c1, Rand r2 -> Rand (fun () -> c1, r2 ()) |
| 194 | + | Rand r1, Const c2 -> Rand (fun () -> r1 (), c2) |
| 195 | + | Rand r1, Rand r2 -> Rand (fun () -> r1 (), r2 ()) |
| 196 | + ) |
| 197 | + ; to_string = fun (x1, x2) -> |
| 198 | + Printf.sprintf "(%s, %s)" (in1.to_string x1) (in2.to_string x2) |
| 199 | + } |
| 200 | + |
| 201 | +let passed { actual; expected; equal; _ } = equal actual expected |
| 202 | + |
| 203 | +let test ?(n=100) name prop { generators; to_string = input_to_string } = |
| 204 | + let test input = |
| 205 | + let {expected; actual; to_string} as result = prop input in |
| 206 | + let print_test outcome = |
| 207 | + Printf.printf "Test %s: %s. Input = %s; expected = %s; actual = %s\n" |
| 208 | + outcome name |
| 209 | + (input_to_string input) (to_string expected) (to_string actual) |
| 210 | + in |
| 211 | + if passed result then begin |
| 212 | + if debug_tests then print_test "succeeded" |
| 213 | + end |
| 214 | + else |
| 215 | + print_test "failed" |
| 216 | + in |
| 217 | + List.iter |
| 218 | + (function |
| 219 | + | Const c -> test c |
| 220 | + | Rand r -> for _ = 1 to n do test (r ()) done) |
| 221 | + generators |
| 222 | + |
| 223 | +let test_same |
| 224 | + ~input ~result ~apply_expected ~apply_actual |
| 225 | + ?n name expected actual = |
| 226 | + test ?n name |
| 227 | + (fun x -> |
| 228 | + result |
| 229 | + ~expected:(apply_expected expected x) |
| 230 | + ~actual:(apply_actual actual x)) |
| 231 | + input |
| 232 | + |
| 233 | +let test_constant ?n name expected actual result = |
| 234 | + test ?n name (fun () -> result ~expected ~actual) unit_input |
| 235 | + |
| 236 | +let test_same_unary ?n name input result expected actual = |
| 237 | + test_same |
| 238 | + ~input |
| 239 | + ~result |
| 240 | + ~apply_expected:Fun.id |
| 241 | + ~apply_actual:Fun.id |
| 242 | + ?n name expected actual |
| 243 | + |
| 244 | +let test_same_binary ?n name input1 input2 result expected actual = |
| 245 | + test_same |
| 246 | + ~input:(two_inputs input1 input2) |
| 247 | + ~result |
| 248 | + ~apply_expected:(fun f (x,y) -> f x y) |
| 249 | + ~apply_actual:(fun f (x,y) -> f x y) |
| 250 | + ?n name expected actual |
| 251 | + |
| 252 | +let test_unary ?n name f fu = |
| 253 | + test_same_unary ?n name int16_input int16_result f |
| 254 | + (fun x -> Int16_u.to_int16 (fu (Int16_u.of_int16 x))) |
| 255 | + |
| 256 | +let test_unary_of ?n name f fu result = |
| 257 | + test_same_unary ?n name int16_input result f |
| 258 | + (fun x -> fu (Int16_u.of_int16 x)) |
| 259 | + |
| 260 | +let test_unary_to ?n name f fu input = |
| 261 | + test_same_unary ?n name input int16_result f |
| 262 | + (fun x -> Int16_u.to_int16 (fu x)) |
| 263 | + |
| 264 | +let test_binary' ~second_input ?n name f fu = |
| 265 | + test_same_binary ?n name int16_input second_input int16_result f |
| 266 | + (fun x y -> Int16_u.to_int16 |
| 267 | + (fu |
| 268 | + (Int16_u.of_int16 x) |
| 269 | + (Int16_u.of_int16 y))) |
| 270 | + |
| 271 | +let test_binary = test_binary' ~second_input:int16_input |
| 272 | + |
| 273 | +let test_division = test_binary' ~second_input:nonzero_int16_input |
| 274 | + |
| 275 | +let test_binary_of ?n name f fu result = |
| 276 | + test_same_binary ?n name int16_input int16_input result f |
| 277 | + (fun x y -> fu |
| 278 | + (Int16_u.of_int16 x) |
| 279 | + (Int16_u.of_int16 y)) |
| 280 | + |
| 281 | +let test_shift ?n name shift shiftu = |
| 282 | + test_same_binary |
| 283 | + ?n name int16_input int16_shift_amount_input int16_result shift |
| 284 | + (fun x y -> Int16_u.to_int16 |
| 285 | + (shiftu |
| 286 | + (Int16_u.of_int16 x) |
| 287 | + y)) |
| 288 | + |
| 289 | +let () = |
| 290 | + test_unary "neg" Int16.neg Int16_u.neg; |
| 291 | + test_binary "add" Int16.add Int16_u.add; |
| 292 | + test_binary "sub" Int16.sub Int16_u.sub; |
| 293 | + test_binary "mul" Int16.mul Int16_u.mul; |
| 294 | + test_division "div" Int16.div Int16_u.div; |
| 295 | + test_division "unsigned_div" Int16.unsigned_div Int16_u.unsigned_div; |
| 296 | + test_division "rem" Int16.rem Int16_u.rem; |
| 297 | + test_division "unsigned_rem" Int16.unsigned_rem Int16_u.unsigned_rem; |
| 298 | + test_unary "succ" Int16.succ Int16_u.succ; |
| 299 | + test_unary "pred" Int16.pred Int16_u.pred; |
| 300 | + test_unary "abs" Int16.abs Int16_u.abs; |
| 301 | + test_binary "logand" Int16.logand Int16_u.logand; |
| 302 | + test_binary "logor" Int16.logor Int16_u.logor; |
| 303 | + test_binary "logxor" Int16.logxor Int16_u.logxor; |
| 304 | + test_unary "lognot" Int16.lognot Int16_u.lognot; |
| 305 | + test_shift "shift_left" Int16.shift_left Int16_u.shift_left; |
| 306 | + test_shift "shift_right" Int16.shift_right Int16_u.shift_right; |
| 307 | + test_shift "shift_right_logical" Int16.shift_right_logical Int16_u.shift_right_logical; |
| 308 | + test_unary_to "of_int" Int16.of_int Int16_u.of_int int_input; |
| 309 | + test_unary_of "to_int" Int16.to_int Int16_u.to_int int_result; |
| 310 | + test_unary_of "unsigned_to_int" Int16.unsigned_to_int Int16_u.unsigned_to_int int_result; |
| 311 | + test_unary_to "of_float" Int16.of_float Int16_u.of_float float_input; |
| 312 | + test_unary_of "to_float" Int16.to_float Int16_u.to_float float_result; |
| 313 | + test_unary_to "of_string" Int16.of_string Int16_u.of_string int16_string_input; |
| 314 | + test_unary_of "to_string" Int16.to_string Int16_u.to_string string_result; |
| 315 | + test_binary_of "compare" Int16.compare Int16_u.compare int_result; |
| 316 | + test_binary_of "unsigned_compare" Int16.unsigned_compare Int16_u.unsigned_compare int_result; |
| 317 | + test_binary_of "equal" Int16.equal Int16_u.equal bool_result; |
| 318 | + test_binary "min" Int16.min Int16_u.min; |
| 319 | + test_binary "max" Int16.max Int16_u.max; |
| 320 | + |
| 321 | + (* Explicit unsigned comparison tests with hardcoded expected values *) |
| 322 | + let module I = Int16_u in |
| 323 | + |
| 324 | + (* Test that -1 (0xFFFF) > 0 when compared as unsigned *) |
| 325 | + assert (I.unsigned_compare (I.minus_one ()) (I.zero ()) = 1); |
| 326 | + assert (I.unsigned_compare (I.zero ()) (I.minus_one ()) = -1); |
| 327 | + |
| 328 | + (* Test that -32768 (0x8000) > 32767 (0x7FFF) when compared as unsigned *) |
| 329 | + assert (I.unsigned_compare (I.min_int ()) (I.max_int ()) = 1); |
| 330 | + assert (I.unsigned_compare (I.max_int ()) (I.min_int ()) = -1); |
| 331 | + |
| 332 | + (* Test ordering: when viewed as unsigned: |
| 333 | + 0 < 1 < 32767 < 32768 (min_int) < 65535 (minus_one) *) |
| 334 | + assert (I.unsigned_compare (I.zero ()) (I.one ()) = -1); |
| 335 | + assert (I.unsigned_compare (I.one ()) (I.max_int ()) = -1); |
| 336 | + assert (I.unsigned_compare (I.max_int ()) (I.min_int ()) = -1); |
| 337 | + assert (I.unsigned_compare (I.min_int ()) (I.minus_one ()) = -1); |
| 338 | + |
| 339 | + (* Test equality *) |
| 340 | + assert (I.unsigned_compare (I.zero ()) (I.zero ()) = 0); |
| 341 | + assert (I.unsigned_compare (I.minus_one ()) (I.minus_one ()) = 0); |
| 342 | + |
| 343 | + (* Test the unsigned_lt primitive directly *) |
| 344 | + assert (unsigned_lt (I.zero ()) (I.minus_one ()) = true); (* 0 < 65535 *) |
| 345 | + assert (unsigned_lt (I.minus_one ()) (I.zero ()) = false); (* 65535 not < 0 *) |
| 346 | + assert (unsigned_lt (I.max_int ()) (I.min_int ()) = true); (* 32767 < 32768 *) |
| 347 | + assert (unsigned_lt (I.min_int ()) (I.max_int ()) |
| 348 | + = false); (* 32768 not < 32767 *) |
| 349 | + |
| 350 | + (* Test unsigned greater than using primitive comparisons *) |
| 351 | + assert (unsigned_gt (I.minus_one ()) (I.zero ()) = true); (* 65535 > 0 *) |
| 352 | + assert (unsigned_gt (I.zero ()) (I.minus_one ()) = false); (* 0 not > 65535 *) |
| 353 | + assert (unsigned_gt (I.min_int ()) (I.max_int ()) = true); (* 32768 > 32767 *) |
| 354 | + assert (unsigned_gt (I.max_int ()) (I.min_int ()) |
| 355 | + = false); (* 32767 not > 32768 *) |
| 356 | + |
| 357 | + () |
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