src/HOL/Library/Quickcheck_Narrowing.thy
author bulwahn
Mon, 30 May 2011 13:57:59 +0200
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permissions -rw-r--r--
automatic derivation of partial_term_of functions; renaming type and term to longer names narrowing_type and narrowing_term; hiding constant C; adding overlord option
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(* Author: Lukas Bulwahn, TU Muenchen *)
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header {* Counterexample generator preforming narrowing-based testing *}
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theory Quickcheck_Narrowing
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imports Main "~~/src/HOL/Library/Code_Char"
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uses
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  ("~~/src/HOL/Tools/Quickcheck/narrowing_generators.ML")
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begin
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subsection {* Counterexample generator *}
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subsubsection {* Code generation setup *}
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code_type typerep
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  ("Haskell" "Typerep")
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code_const Typerep.Typerep
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  ("Haskell" "Typerep")
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code_reserved Haskell Typerep
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subsubsection {* Type @{text "code_int"} for Haskell's Int type *}
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typedef (open) code_int = "UNIV \<Colon> int set"
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  morphisms int_of of_int by rule
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lemma of_int_int_of [simp]:
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  "of_int (int_of k) = k"
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  by (rule int_of_inverse)
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lemma int_of_of_int [simp]:
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  "int_of (of_int n) = n"
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  by (rule of_int_inverse) (rule UNIV_I)
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lemma code_int:
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  "(\<And>n\<Colon>code_int. PROP P n) \<equiv> (\<And>n\<Colon>int. PROP P (of_int n))"
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proof
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  fix n :: int
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  assume "\<And>n\<Colon>code_int. PROP P n"
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  then show "PROP P (of_int n)" .
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next
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  fix n :: code_int
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  assume "\<And>n\<Colon>int. PROP P (of_int n)"
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  then have "PROP P (of_int (int_of n))" .
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  then show "PROP P n" by simp
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qed
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lemma int_of_inject [simp]:
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  "int_of k = int_of l \<longleftrightarrow> k = l"
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  by (rule int_of_inject)
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lemma of_int_inject [simp]:
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  "of_int n = of_int m \<longleftrightarrow> n = m"
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  by (rule of_int_inject) (rule UNIV_I)+
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instantiation code_int :: equal
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begin
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definition
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  "HOL.equal k l \<longleftrightarrow> HOL.equal (int_of k) (int_of l)"
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instance proof
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qed (auto simp add: equal_code_int_def equal_int_def eq_int_refl)
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end
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instantiation code_int :: number
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begin
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definition
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  "number_of = of_int"
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instance ..
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end
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lemma int_of_number [simp]:
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  "int_of (number_of k) = number_of k"
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  by (simp add: number_of_code_int_def number_of_is_id)
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definition nat_of :: "code_int => nat"
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where
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  "nat_of i = nat (int_of i)"
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code_datatype "number_of \<Colon> int \<Rightarrow> code_int"
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instantiation code_int :: "{minus, linordered_semidom, semiring_div, linorder}"
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begin
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definition [simp, code del]:
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  "0 = of_int 0"
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definition [simp, code del]:
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  "1 = of_int 1"
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definition [simp, code del]:
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  "n + m = of_int (int_of n + int_of m)"
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definition [simp, code del]:
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  "n - m = of_int (int_of n - int_of m)"
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definition [simp, code del]:
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  "n * m = of_int (int_of n * int_of m)"
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definition [simp, code del]:
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  "n div m = of_int (int_of n div int_of m)"
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definition [simp, code del]:
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  "n mod m = of_int (int_of n mod int_of m)"
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definition [simp, code del]:
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  "n \<le> m \<longleftrightarrow> int_of n \<le> int_of m"
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definition [simp, code del]:
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  "n < m \<longleftrightarrow> int_of n < int_of m"
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instance proof
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qed (auto simp add: code_int left_distrib zmult_zless_mono2)
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end
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lemma zero_code_int_code [code, code_unfold]:
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  "(0\<Colon>code_int) = Numeral0"
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  by (simp add: number_of_code_int_def Pls_def)
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lemma [code_post]: "Numeral0 = (0\<Colon>code_int)"
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  using zero_code_int_code ..
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lemma one_code_int_code [code, code_unfold]:
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  "(1\<Colon>code_int) = Numeral1"
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  by (simp add: number_of_code_int_def Pls_def Bit1_def)
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lemma [code_post]: "Numeral1 = (1\<Colon>code_int)"
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  using one_code_int_code ..
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definition div_mod_code_int :: "code_int \<Rightarrow> code_int \<Rightarrow> code_int \<times> code_int" where
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  [code del]: "div_mod_code_int n m = (n div m, n mod m)"
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lemma [code]:
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  "div_mod_code_int n m = (if m = 0 then (0, n) else (n div m, n mod m))"
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  unfolding div_mod_code_int_def by auto
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lemma [code]:
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  "n div m = fst (div_mod_code_int n m)"
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  unfolding div_mod_code_int_def by simp
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lemma [code]:
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  "n mod m = snd (div_mod_code_int n m)"
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  unfolding div_mod_code_int_def by simp
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lemma int_of_code [code]:
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  "int_of k = (if k = 0 then 0
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    else (if k mod 2 = 0 then 2 * int_of (k div 2) else 2 * int_of (k div 2) + 1))"
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proof -
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  have 1: "(int_of k div 2) * 2 + int_of k mod 2 = int_of k" 
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    by (rule mod_div_equality)
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  have "int_of k mod 2 = 0 \<or> int_of k mod 2 = 1" by auto
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  from this show ?thesis
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    apply auto
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    apply (insert 1) by (auto simp add: mult_ac)
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qed
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code_instance code_numeral :: equal
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  (Haskell -)
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setup {* fold (Numeral.add_code @{const_name number_code_int_inst.number_of_code_int}
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  false Code_Printer.literal_numeral) ["Haskell"]  *}
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code_const "0 \<Colon> code_int"
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  (Haskell "0")
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code_const "1 \<Colon> code_int"
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  (Haskell "1")
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code_const "minus \<Colon> code_int \<Rightarrow> code_int \<Rightarrow> code_int"
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  (Haskell "(_/ -/ _)")
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code_const div_mod_code_int
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  (Haskell "divMod")
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code_const "HOL.equal \<Colon> code_int \<Rightarrow> code_int \<Rightarrow> bool"
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  (Haskell infix 4 "==")
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code_const "op \<le> \<Colon> code_int \<Rightarrow> code_int \<Rightarrow> bool"
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  (Haskell infix 4 "<=")
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code_const "op < \<Colon> code_int \<Rightarrow> code_int \<Rightarrow> bool"
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  (Haskell infix 4 "<")
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code_type code_int
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  (Haskell "Int")
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code_abort of_int
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subsubsection {* Narrowing's deep representation of types and terms *}
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datatype narrowing_type = SumOfProd "narrowing_type list list"
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datatype narrowing_term = Var "code_int list" narrowing_type | Ctr code_int "narrowing_term list"
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datatype 'a cons = C narrowing_type "(narrowing_term list => 'a) list"
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subsubsection {* From narrowing's deep representation of terms to Code_Evaluation's terms *}
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class partial_term_of = typerep +
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  fixes partial_term_of :: "'a itself => narrowing_term => Code_Evaluation.term"
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lemma partial_term_of_anything: "partial_term_of x nt \<equiv> t"
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  by (rule eq_reflection) (cases "partial_term_of x nt", cases t, simp)
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subsubsection {* Auxilary functions for Narrowing *}
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consts nth :: "'a list => code_int => 'a"
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code_const nth ("Haskell" infixl 9  "!!")
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consts error :: "char list => 'a"
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code_const error ("Haskell" "error")
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consts toEnum :: "code_int => char"
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code_const toEnum ("Haskell" "toEnum")
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consts map_index :: "(code_int * 'a => 'b) => 'a list => 'b list"  
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consts split_At :: "code_int => 'a list => 'a list * 'a list"
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subsubsection {* Narrowing's basic operations *}
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type_synonym 'a narrowing = "code_int => 'a cons"
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definition empty :: "'a narrowing"
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where
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  "empty d = C (SumOfProd []) []"
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definition cons :: "'a => 'a narrowing"
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where
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  "cons a d = (C (SumOfProd [[]]) [(%_. a)])"
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fun conv :: "(narrowing_term list => 'a) list => narrowing_term => 'a"
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where
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  "conv cs (Var p _) = error (Char Nibble0 Nibble0 # map toEnum p)"
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| "conv cs (Ctr i xs) = (nth cs i) xs"
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fun nonEmpty :: "narrowing_type => bool"
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where
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  "nonEmpty (SumOfProd ps) = (\<not> (List.null ps))"
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definition "apply" :: "('a => 'b) narrowing => 'a narrowing => 'b narrowing"
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where
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  "apply f a d =
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     (case f d of C (SumOfProd ps) cfs =>
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       case a (d - 1) of C ta cas =>
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       let
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         shallow = (d > 0 \<and> nonEmpty ta);
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         cs = [(%xs'. (case xs' of [] => undefined | x # xs => cf xs (conv cas x))). shallow, cf <- cfs]
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       in C (SumOfProd [ta # p. shallow, p <- ps]) cs)"
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definition sum :: "'a narrowing => 'a narrowing => 'a narrowing"
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where
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  "sum a b d =
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    (case a d of C (SumOfProd ssa) ca => 
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      case b d of C (SumOfProd ssb) cb =>
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      C (SumOfProd (ssa @ ssb)) (ca @ cb))"
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lemma [fundef_cong]:
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  assumes "a d = a' d" "b d = b' d" "d = d'"
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  shows "sum a b d = sum a' b' d'"
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using assms unfolding sum_def by (auto split: cons.split narrowing_type.split)
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lemma [fundef_cong]:
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  assumes "f d = f' d" "(\<And>d'. 0 <= d' & d' < d ==> a d' = a' d')"
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  assumes "d = d'"
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  shows "apply f a d = apply f' a' d'"
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proof -
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  note assms moreover
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  have "int_of (of_int 0) < int_of d' ==> int_of (of_int 0) <= int_of (of_int (int_of d' - int_of (of_int 1)))"
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    by (simp add: of_int_inverse)
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  moreover
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  have "int_of (of_int (int_of d' - int_of (of_int 1))) < int_of d'"
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    by (simp add: of_int_inverse)
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  ultimately show ?thesis
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    unfolding apply_def by (auto split: cons.split narrowing_type.split simp add: Let_def)
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qed
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type_synonym pos = "code_int list"
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(*
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subsubsection {* Term refinement *}
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definition new :: "pos => type list list => term list"
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where
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  "new p ps = map_index (%(c, ts). Ctr c (map_index (%(i, t). Var (p @ [i]) t) ts)) ps"
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fun refine :: "term => pos => term list" and refineList :: "term list => pos => (term list) list"
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where
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  "refine (Var p (SumOfProd ss)) [] = new p ss"
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| "refine (Ctr c xs) p = map (Ctr c) (refineList xs p)"
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| "refineList xs (i # is) = (let (ls, xrs) = split_At i xs in (case xrs of x#rs => [ls @ y # rs. y <- refine x is]))"
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text {* Find total instantiations of a partial value *}
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function total :: "term => term list"
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where
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  "total (Ctr c xs) = [Ctr c ys. ys <- map total xs]"
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| "total (Var p (SumOfProd ss)) = [y. x <- new p ss, y <- total x]"
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by pat_completeness auto
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termination sorry
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*)
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subsubsection {* Narrowing generator type class *}
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class narrowing =
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  fixes narrowing :: "code_int => 'a cons"
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definition cons1 :: "('a::narrowing => 'b) => 'b narrowing"
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where
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  "cons1 f = apply (cons f) narrowing"
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definition cons2 :: "('a :: narrowing => 'b :: narrowing => 'c) => 'c narrowing"
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where
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  "cons2 f = apply (apply (cons f) narrowing) narrowing"
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definition drawn_from :: "'a list => 'a cons"
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where "drawn_from xs = C (SumOfProd (map (%_. []) xs)) (map (%x y. x) xs)"
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instantiation int :: narrowing
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begin
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definition
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  "narrowing_int d = (let i = Quickcheck_Narrowing.int_of d in drawn_from [-i .. i])"
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instance ..
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end
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instantiation unit :: narrowing
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begin
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definition
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  "narrowing = cons ()"
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instance ..
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end
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instantiation bool :: narrowing
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begin
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definition
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  "narrowing = sum (cons True) (cons False)" 
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instance ..
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end
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instantiation option :: (narrowing) narrowing
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begin
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definition
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  "narrowing = sum (cons None) (cons1 Some)"
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instance ..
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end
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instantiation sum :: (narrowing, narrowing) narrowing
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begin
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definition
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  "narrowing = sum (cons1 Inl) (cons1 Inr)"
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instance ..
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end
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instantiation list :: (narrowing) narrowing
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begin
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function narrowing_list :: "'a list narrowing"
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where
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  "narrowing_list d = sum (cons []) (apply (apply (cons Cons) narrowing) narrowing_list) d"
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by pat_completeness auto
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termination proof (relation "measure nat_of")
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qed (auto simp add: of_int_inverse nat_of_def)
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instance ..
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   396
end
e2611bc96022 adding files for prototype of lazysmallcheck
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   397
41961
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parents: 41943
diff changeset
   398
instantiation nat :: narrowing
41905
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parents:
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   399
begin
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   400
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   401
function narrowing_nat :: "nat narrowing"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   402
where
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   403
  "narrowing_nat d = sum (cons 0) (apply (cons Suc) narrowing_nat) d"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   404
by pat_completeness auto
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   405
41912
1848775589e5 adding termination proofs to series functions in LSC; commenting out momentarily unused term refinement functions in LSC
bulwahn
parents: 41910
diff changeset
   406
termination proof (relation "measure nat_of")
1848775589e5 adding termination proofs to series functions in LSC; commenting out momentarily unused term refinement functions in LSC
bulwahn
parents: 41910
diff changeset
   407
qed (auto simp add: of_int_inverse nat_of_def)
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   408
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   409
instance ..
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   410
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   411
end
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   412
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   413
instantiation Enum.finite_1 :: narrowing
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   414
begin
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   415
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
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parents: 41943
diff changeset
   416
definition narrowing_finite_1 :: "Enum.finite_1 narrowing"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   417
where
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   418
  "narrowing_finite_1 = cons (Enum.finite_1.a\<^isub>1 :: Enum.finite_1)"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
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   419
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   420
instance ..
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   421
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   422
end
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   423
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   424
instantiation Enum.finite_2 :: narrowing
41905
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   425
begin
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   426
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   427
definition narrowing_finite_2 :: "Enum.finite_2 narrowing"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   428
where
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   429
  "narrowing_finite_2 = sum (cons (Enum.finite_2.a\<^isub>1 :: Enum.finite_2)) (cons (Enum.finite_2.a\<^isub>2 :: Enum.finite_2))"
41905
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   430
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
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   431
instance ..
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
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   432
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   433
end
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   434
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   435
instantiation Enum.finite_3 :: narrowing
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   436
begin
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   437
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   438
definition narrowing_finite_3 :: "Enum.finite_3 narrowing"
41905
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parents:
diff changeset
   439
where
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   440
  "narrowing_finite_3 = sum (cons (Enum.finite_3.a\<^isub>1 :: Enum.finite_3)) (sum (cons (Enum.finite_3.a\<^isub>2 :: Enum.finite_3)) (cons (Enum.finite_3.a\<^isub>3 :: Enum.finite_3)))"
41905
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parents:
diff changeset
   441
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   442
instance ..
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parents:
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   443
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   444
end
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   445
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
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diff changeset
   446
instantiation Enum.finite_4 :: narrowing
41910
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   447
begin
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   448
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   449
definition narrowing_finite_4 :: "Enum.finite_4 narrowing"
41910
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   450
where
41961
fdd37cfcd4a3 renaming series and serial to narrowing in Quickcheck_Narrowing
bulwahn
parents: 41943
diff changeset
   451
  "narrowing_finite_4 = sum (cons Enum.finite_4.a\<^isub>1) (sum (cons Enum.finite_4.a\<^isub>2) (sum (cons Enum.finite_4.a\<^isub>3) (cons Enum.finite_4.a\<^isub>4)))"
41910
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   452
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   453
instance ..
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   454
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   455
end
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   456
41943
12f24ad566ea fixed document;
wenzelm
parents: 41930
diff changeset
   457
subsubsection {* class @{text is_testable} *}
41905
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parents:
diff changeset
   458
41943
12f24ad566ea fixed document;
wenzelm
parents: 41930
diff changeset
   459
text {* The class @{text is_testable} ensures that all necessary type instances are generated. *}
41905
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   460
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   461
class is_testable
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   462
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
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   463
instance bool :: is_testable ..
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   464
43047
26774ccb1c74 automatic derivation of partial_term_of functions; renaming type and term to longer names narrowing_type and narrowing_term; hiding constant C; adding overlord option
bulwahn
parents: 42980
diff changeset
   465
instance "fun" :: ("{term_of, narrowing, partial_term_of}", is_testable) is_testable ..
41905
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   466
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   467
definition ensure_testable :: "'a :: is_testable => 'a :: is_testable"
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   468
where
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
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   469
  "ensure_testable f = f"
e2611bc96022 adding files for prototype of lazysmallcheck
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parents:
diff changeset
   470
41910
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   471
declare simp_thms(17,19)[code del]
709c04e7b703 adding serial instance of finite_4 in lazysmallcheck; changing code equations for implies
bulwahn
parents: 41909
diff changeset
   472
42022
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   473
subsubsection {* Defining a simple datatype to represent functions in an incomplete and redundant way *}
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   474
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   475
datatype ('a, 'b) ffun = Constant 'b | Update 'a 'b "('a, 'b) ffun"
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   476
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   477
primrec eval_ffun :: "('a, 'b) ffun => 'a => 'b"
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   478
where
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   479
  "eval_ffun (Constant c) x = c"
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   480
| "eval_ffun (Update x' y f) x = (if x = x' then y else eval_ffun f x)"
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   481
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   482
hide_type (open) ffun
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   483
hide_const (open) Constant Update eval_ffun
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   484
42024
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   485
datatype 'b cfun = Constant 'b
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   486
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   487
primrec eval_cfun :: "'b cfun => 'a => 'b"
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   488
where
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   489
  "eval_cfun (Constant c) y = c"
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   490
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   491
hide_type (open) cfun
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   492
hide_const (open) Constant eval_cfun
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   493
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   494
subsubsection {* Setting up the counterexample generator *}
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   495
  
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   496
use "~~/src/HOL/Tools/Quickcheck/narrowing_generators.ML"
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   497
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   498
setup {* Narrowing_Generators.setup *}
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   499
43047
26774ccb1c74 automatic derivation of partial_term_of functions; renaming type and term to longer names narrowing_type and narrowing_term; hiding constant C; adding overlord option
bulwahn
parents: 42980
diff changeset
   500
hide_type (open) code_int narrowing_type narrowing_term cons
42024
51df23535105 handling a quite restricted set of functions in Quickcheck_Narrowing by an easy transformation
bulwahn
parents: 42022
diff changeset
   501
hide_const (open) int_of of_int nth error toEnum map_index split_At empty
43047
26774ccb1c74 automatic derivation of partial_term_of functions; renaming type and term to longer names narrowing_type and narrowing_term; hiding constant C; adding overlord option
bulwahn
parents: 42980
diff changeset
   502
  C cons conv nonEmpty "apply" sum cons1 cons2 ensure_testable
42022
101ce92333f4 adding a simple datatype for representing functions in Quickcheck_Narrowing
bulwahn
parents: 42021
diff changeset
   503
41905
e2611bc96022 adding files for prototype of lazysmallcheck
bulwahn
parents:
diff changeset
   504
end