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|
chapter \<open>Generated by Lem from \<open>string_extra.lem\<close>.\<close>
theory "Lem_string_extra"
imports
Main
"Lem_num"
"Lem_list"
"Lem_basic_classes"
"Lem_string"
"Lem_list_extra"
begin
(******************************************************************************)
(* String functions *)
(******************************************************************************)
(*open import Basic_classes*)
(*open import Num*)
(*open import List*)
(*open import String*)
(*open import List_extra*)
(*open import {hol} `stringLib`*)
(*open import {hol} `ASCIInumbersTheory`*)
(******************************************************************************)
(* Character's to numbers *)
(******************************************************************************)
(*val ord : char -> nat*)
(*val chr : nat -> char*)
(******************************************************************************)
(* Converting to strings *)
(******************************************************************************)
(*val stringFromNatHelper : nat -> list char -> list char*)
fun stringFromNatHelper :: " nat \<Rightarrow>(char)list \<Rightarrow>(char)list " where
" stringFromNatHelper n acc1 = (
if n =( 0 :: nat) then
acc1
else
stringFromNatHelper (n div( 10 :: nat)) ((%n. char_of (n::nat)) ((n mod( 10 :: nat)) +( 48 :: nat)) # acc1))"
(*val stringFromNat : nat -> string*)
definition stringFromNat :: " nat \<Rightarrow> string " where
" stringFromNat n = (
if n =( 0 :: nat) then (''0'') else (stringFromNatHelper n []))"
(*val stringFromNaturalHelper : natural -> list char -> list char*)
fun stringFromNaturalHelper :: " nat \<Rightarrow>(char)list \<Rightarrow>(char)list " where
" stringFromNaturalHelper n acc1 = (
if n =( 0 :: nat) then
acc1
else
stringFromNaturalHelper (n div( 10 :: nat)) ((%n. char_of (n::nat)) ( ((n mod( 10 :: nat)) +( 48 :: nat))) # acc1))"
(*val stringFromNatural : natural -> string*)
definition stringFromNatural :: " nat \<Rightarrow> string " where
" stringFromNatural n = (
if n =( 0 :: nat) then (''0'') else (stringFromNaturalHelper n []))"
(*val stringFromInt : int -> string*)
definition stringFromInt :: " int \<Rightarrow> string " where
" stringFromInt i = (
if i <( 0 :: int) then
(''-'') @ stringFromNat (nat (abs i))
else
stringFromNat (nat (abs i)))"
(*val stringFromInteger : integer -> string*)
definition stringFromInteger :: " int \<Rightarrow> string " where
" stringFromInteger i = (
if i <( 0 :: int) then
(''-'') @ stringFromNatural (nat (abs i))
else
stringFromNatural (nat (abs i)))"
(******************************************************************************)
(* List-like operations *)
(******************************************************************************)
(*val nth : string -> nat -> char*)
definition nth :: " string \<Rightarrow> nat \<Rightarrow> char " where
" nth s n = ( List.nth ( s) n )"
(*val stringConcat : list string -> string*)
definition stringConcat :: "(string)list \<Rightarrow> string " where
" stringConcat s = (
List.foldr (@) s (''''))"
(******************************************************************************)
(* String comparison *)
(******************************************************************************)
(*val stringCompare : string -> string -> ordering*)
definition stringLess :: " string \<Rightarrow> string \<Rightarrow> bool " where
" stringLess x y = ( orderingIsLess (EQ))"
definition stringLessEq :: " string \<Rightarrow> string \<Rightarrow> bool " where
" stringLessEq x y = ( \<not> (orderingIsGreater (EQ)))"
definition stringGreater :: " string \<Rightarrow> string \<Rightarrow> bool " where
" stringGreater x y = ( stringLess y x )"
definition stringGreaterEq :: " string \<Rightarrow> string \<Rightarrow> bool " where
" stringGreaterEq x y = ( stringLessEq y x )"
definition instance_Basic_classes_Ord_string_dict :: "(string)Ord_class " where
" instance_Basic_classes_Ord_string_dict = ((|
compare_method = (\<lambda> x y. EQ),
isLess_method = stringLess,
isLessEqual_method = stringLessEq,
isGreater_method = stringGreater,
isGreaterEqual_method = stringGreaterEq |) )"
end
|
