[Ada] SPARK proof of the Ada.Strings.Fixed library
gcc/ada/
* libgnat/a-strfix.adb ("*"): Added loop invariants and lemmas
for proof.
(Delete): Added assertions for proof, and conditions to avoid
overflow.
(Head): Added loop invariant.
(Insert): Same as Delete.
(Move): Declared with SPARK_Mode Off.
(Overwrite): Added assertions for proof, and conditions to avoid
overflow.
(Replace_Slice): Added assertions for proof, and conditions to
avoid overflow.
(Tail): Added loop invariant and avoided overflows.
(Translate): Added loop invariants.
(Trim): Ensured empty strings returned start at 1.
* libgnat/a-strfix.ads (Index): Rewrote contract cases for
easier proof.
(Index_Non_Blank): Separated the null string case.
(Count): Specified Mapping shouldn't be null.
(Find_Token): Specified Source'First should be Positive when no
From is given.
(Translate): Specified Mapping shouldn't be null.
("*"): Rewrote postcondition for easier proof.
* libgnat/a-strsea.adb (Belongs): Added postcondition.
(Count): Rewrote loops and added loop invariants to avoid
overflows.
(Find_Token): Added loop invariants.
(Index): Rewrote loops to avoid overflows and added loop
invariants for proof.
(Index_Non_Blank): Added loop invariants.
(Is_Identity): New function isolated without SPARK_Mode.
* libgnat/a-strsea.ads: Fix starting comment as package is no
longer private.
(Match): Declared ghost expression function Match.
(Is_Identity): Described identity in the postcondition.
(Index, Index_Non_Blank, Count, Find_Token): Added contract from
a-strfix.ads.