author | bulwahn |
Mon, 14 Mar 2011 12:34:10 +0100 | |
changeset 41963 | d8c3b26b3da4 |
parent 41953 | 994d088fbfbc |
child 42019 | a9445d87bc3e |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Quickcheck/narrowing_generators.ML |
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Author: Lukas Bulwahn, TU Muenchen |
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Narrowing-based counterexample generation. |
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*) |
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signature NARROWING_GENERATORS = |
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sig |
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val compile_generator_expr: |
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Proof.context -> term -> int -> term list option * Quickcheck.report option |
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val put_counterexample: (unit -> term list option) -> Proof.context -> Proof.context |
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val setup: theory -> theory |
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end; |
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structure Narrowing_Generators : NARROWING_GENERATORS = |
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struct |
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||
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fun mk_undefined T = Const(@{const_name undefined}, T) |
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(* narrowing specific names and types *) |
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exception FUNCTION_TYPE; |
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val narrowingN = "narrowing"; |
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fun narrowingT T = |
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@{typ Quickcheck_Narrowing.code_int} --> Type (@{type_name Quickcheck_Narrowing.cons}, [T]) |
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fun mk_empty T = Const (@{const_name Quickcheck_Narrowing.empty}, narrowingT T) |
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fun mk_cons c T = Const (@{const_name Quickcheck_Narrowing.cons}, T --> narrowingT T) $ Const (c, T) |
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fun mk_apply (T, t) (U, u) = |
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let |
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val (_, U') = dest_funT U |
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in |
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(U', Const (@{const_name Quickcheck_Narrowing.apply}, |
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narrowingT U --> narrowingT T --> narrowingT U') $ u $ t) |
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end |
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fun mk_sum (t, u) = |
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let |
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val T = fastype_of t |
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in |
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Const (@{const_name Quickcheck_Narrowing.sum}, T --> T --> T) $ t $ u |
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end |
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(* creating narrowing instances *) |
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fun mk_equations descr vs tycos narrowings (Ts, Us) = |
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let |
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fun mk_call T = |
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let |
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val narrowing = |
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Const (@{const_name "Quickcheck_Narrowing.narrowing_class.narrowing"}, narrowingT T) |
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in |
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(T, narrowing) |
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end |
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fun mk_aux_call fTs (k, _) (tyco, Ts) = |
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let |
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val T = Type (tyco, Ts) |
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val _ = if not (null fTs) then raise FUNCTION_TYPE else () |
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in |
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(T, nth narrowings k) |
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end |
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fun mk_consexpr simpleT (c, xs) = |
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let |
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val Ts = map fst xs |
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in snd (fold mk_apply xs (Ts ---> simpleT, mk_cons c (Ts ---> simpleT))) end |
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fun mk_rhs exprs = foldr1 mk_sum exprs |
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val rhss = |
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Datatype_Aux.interpret_construction descr vs |
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{ atyp = mk_call, dtyp = mk_aux_call } |
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|> (map o apfst) Type |
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|> map (fn (T, cs) => map (mk_consexpr T) cs) |
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|> map mk_rhs |
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val lhss = narrowings |
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val eqs = map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (lhss ~~ rhss) |
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in |
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eqs |
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end |
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fun instantiate_narrowing_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy = |
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let |
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val _ = Datatype_Aux.message config "Creating narrowing generators ..."; |
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val narrowingsN = map (prefix (narrowingN ^ "_")) (names @ auxnames); |
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in |
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thy |
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|> Class.instantiation (tycos, vs, @{sort narrowing}) |
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|> (fold_map (fn (name, T) => Local_Theory.define |
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((Binding.conceal (Binding.name name), NoSyn), |
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(apfst Binding.conceal Attrib.empty_binding, mk_undefined (narrowingT T))) |
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#> apfst fst) (narrowingsN ~~ (Ts @ Us)) |
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#> (fn (narrowings, lthy) => |
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let |
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val eqs_t = mk_equations descr vs tycos narrowings (Ts, Us) |
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val eqs = map (fn eq => Goal.prove lthy ["f", "i"] [] eq |
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(fn _ => Skip_Proof.cheat_tac (ProofContext.theory_of lthy))) eqs_t |
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in |
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fold (fn (name, eq) => Local_Theory.note |
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((Binding.conceal (Binding.qualify true prfx |
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(Binding.qualify true name (Binding.name "simps"))), |
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Code.add_default_eqn_attrib :: map (Attrib.internal o K) |
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[Simplifier.simp_add, Nitpick_Simps.add]), [eq]) #> snd) (narrowingsN ~~ eqs) lthy |
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end)) |
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|> Class.prove_instantiation_exit (K (Class.intro_classes_tac [])) |
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108 |
end; |
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109 |
|
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110 |
(* testing framework *) |
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111 |
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112 |
val target = "Haskell" |
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113 |
|
41905 | 114 |
(* invocation of Haskell interpreter *) |
115 |
||
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val narrowing_engine = File.read (Path.explode "~~/src/HOL/Tools/Quickcheck/Narrowing_Engine.hs") |
41905 | 117 |
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fun exec verbose code = |
|
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ML_Context.exec (fn () => Secure.use_text ML_Env.local_context (0, "generated code") verbose code) |
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120 |
||
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fun value ctxt (get, put, put_ml) (code, value) = |
|
122 |
let |
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val tmp_prefix = "Quickcheck_Narrowing" |
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fun run in_path = |
125 |
let |
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126 |
val code_file = Path.append in_path (Path.basic "Code.hs") |
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val narrowing_engine_file = Path.append in_path (Path.basic "Narrowing_Engine.hs") |
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val main_file = Path.append in_path (Path.basic "Main.hs") |
129 |
val main = "module Main where {\n\n" ^ |
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"import Narrowing_Engine;\n" ^ |
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"import Code;\n\n" ^ |
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"main = Narrowing_Engine.smallCheck 7 (Code.value ())\n\n" ^ |
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"}\n" |
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val code' = prefix "module Code where {\n\ndata Typerep = Typerep String [Typerep];\n" |
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(unprefix "module Code where {" code) |
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val _ = File.write code_file code' |
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val _ = File.write narrowing_engine_file narrowing_engine |
41905 | 138 |
val _ = File.write main_file main |
41946 | 139 |
val executable = File.shell_path (Path.append in_path (Path.basic "isa_lsc")) |
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140 |
val cmd = "\"$ISABELLE_GHC\" -fglasgow-exts " ^ |
41946 | 141 |
(space_implode " " (map File.shell_path [code_file, narrowing_engine_file, main_file])) ^ |
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142 |
" -o " ^ executable ^ " && " ^ executable |
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143 |
(* FIXME: should use bash command exec but does not work with && *) |
41905 | 144 |
in |
145 |
bash_output cmd |
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146 |
end |
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147 |
val result = Isabelle_System.with_tmp_dir tmp_prefix run |
41905 | 148 |
val output_value = the_default "NONE" |
149 |
(try (snd o split_last o filter_out (fn s => s = "") o split_lines o fst) result) |
|
150 |
val ml_code = "\nval _ = Context.set_thread_data (SOME (Context.map_proof (" ^ put_ml |
|
151 |
^ " (fn () => " ^ output_value ^ ")) (ML_Context.the_generic_context ())))"; |
|
152 |
val ctxt' = ctxt |
|
153 |
|> put (fn () => error ("Bad evaluation for " ^ quote put_ml)) |
|
154 |
|> Context.proof_map (exec false ml_code); |
|
155 |
in get ctxt' () end; |
|
156 |
||
157 |
fun evaluation cookie thy evaluator vs_t args = |
|
158 |
let |
|
159 |
val ctxt = ProofContext.init_global thy; |
|
160 |
val (program_code, value_name) = evaluator vs_t; |
|
161 |
val value_code = space_implode " " |
|
162 |
(value_name :: "()" :: map (enclose "(" ")") args); |
|
163 |
in Exn.interruptible_capture (value ctxt cookie) (program_code, value_code) end; |
|
164 |
||
165 |
fun dynamic_value_strict cookie thy postproc t args = |
|
166 |
let |
|
167 |
fun evaluator naming program ((_, vs_ty), t) deps = |
|
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168 |
evaluation cookie thy (Code_Target.evaluator thy target naming program deps) (vs_ty, t) args; |
41905 | 169 |
in Exn.release (Code_Thingol.dynamic_value thy (Exn.map_result o postproc) evaluator t) end; |
170 |
||
171 |
(* counterexample generator *) |
|
172 |
||
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173 |
structure Counterexample = Proof_Data |
41905 | 174 |
( |
175 |
type T = unit -> term list option |
|
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176 |
fun init _ () = error "Counterexample" |
41905 | 177 |
) |
178 |
||
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179 |
val put_counterexample = Counterexample.put |
41905 | 180 |
|
181 |
fun compile_generator_expr ctxt t size = |
|
182 |
let |
|
183 |
val thy = ProofContext.theory_of ctxt |
|
184 |
fun ensure_testable t = |
|
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185 |
Const (@{const_name Quickcheck_Narrowing.ensure_testable}, fastype_of t --> fastype_of t) $ t |
41905 | 186 |
val t = dynamic_value_strict |
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187 |
(Counterexample.get, Counterexample.put, "Narrowing_Generators.put_counterexample") |
41905 | 188 |
thy (Option.map o map) (ensure_testable t) [] |
189 |
in |
|
190 |
(t, NONE) |
|
191 |
end; |
|
192 |
||
193 |
||
194 |
val setup = |
|
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195 |
Datatype.interpretation |
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196 |
(Quickcheck_Common.ensure_sort_datatype (@{sort narrowing}, instantiate_narrowing_datatype)) |
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197 |
#> Context.theory_map |
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198 |
(Quickcheck.add_generator ("narrowing", compile_generator_expr)) |
41905 | 199 |
|
200 |
end; |