[Ada] Generic binary search implementation

Allows binary search in sorted anonymous array (or array-like
container).

gcc/ada/

	* libgnat/g-binsea.ads, libgnat/g-binsea.adb
	(GNAT.Binary_Search): New package.
	* Makefile.rtl (GNATRTL_NONTASKING_OBJS): New item in list.
	* doc/gnat_rm/the_gnat_library.rst (GNAT.Binary_Search): New
	package record.
	* gnat_rm.texi: Regenerate.
This commit is contained in:
Dmitriy Anisimkov 2022-03-09 10:31:48 +06:00 committed by Pierre-Marie de Rodat
parent ca3e565395
commit a2bcadcef0
5 changed files with 412 additions and 169 deletions

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@ -416,6 +416,7 @@ GNATRTL_NONTASKING_OBJS= \
g-arrspl$(objext) \
g-awk$(objext) \
g-binenv$(objext) \
g-binsea$(objext) \
g-brapre$(objext) \
g-bubsor$(objext) \
g-busora$(objext) \

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@ -721,6 +721,18 @@ Provides AWK-like parsing functions, with an easy interface for parsing one
or more files containing formatted data. The file is viewed as a database
where each record is a line and a field is a data element in this line.
.. _`GNAT.Binary_Search_(g-binsea.ads)`:
``GNAT.Binary_Search`` (:file:`g-binsea.ads`)
================================================
.. index:: GNAT.Binary_Search (g-binsea.ads)
.. index:: Binary search
Allow binary search of a sorted array (or of an array-like container;
the generic does not reference the array directly).
.. _`GNAT.Bind_Environment_(g-binenv.ads)`:
``GNAT.Bind_Environment`` (:file:`g-binenv.ads`)

File diff suppressed because it is too large Load Diff

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@ -0,0 +1,123 @@
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- GNAT.BINARY_SEARCH --
-- --
-- B o d y --
-- --
-- Copyright (C) 2022, AdaCore --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
-- ware Foundation; either version 3, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
------------------------------------------------------------------------------
package body GNAT.Binary_Search is
function Index
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base is
begin
if Leftmost then
declare
function Before
(Index : Index_Type; Element : Element_Type) return Boolean
is (Before (Get (Index), Element)) with Inline_Always;
function Find is new Binary_Search.Leftmost
(Index_Type, Element_Type, Before);
begin
return Find (First, Last, Start, Element);
end;
else
declare
function Before
(Element : Element_Type; Index : Index_Type) return Boolean
is (Before (Element, Get (Index))) with Inline_Always;
function Find is new Rightmost (Index_Type, Element_Type, Before);
begin
return Find (First, Last, Start, Element);
end;
end if;
end Index;
--------------
-- Leftmost --
--------------
function Leftmost
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base
is
L : Index_Type := First;
R : Index_Type := Index_Type'Succ (Last);
M : Index_Type := Start;
begin
if First <= Last then
loop
if Before (M, Element) then
L := Index_Type'Succ (M);
else
R := M;
end if;
exit when L >= R;
M := Index_Type'Val
(Index_Type'Pos (L) +
(Index_Type'Pos (R) - Index_Type'Pos (L)) / 2);
end loop;
end if;
return L;
end Leftmost;
---------------
-- Rightmost --
---------------
function Rightmost
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base
is
L : Index_Type := First;
R : Index_Type := Index_Type'Succ (Last);
M : Index_Type := Start;
begin
if First > Last then
return Last;
else
loop
if Before (Element, M) then
R := M;
else
L := Index_Type'Succ (M);
end if;
exit when L >= R;
M := Index_Type'Val
(Index_Type'Pos (L) +
(Index_Type'Pos (R) - Index_Type'Pos (L)) / 2);
end loop;
end if;
return Index_Type'Pred (R);
end Rightmost;
end GNAT.Binary_Search;

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@ -0,0 +1,93 @@
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- GNAT.BINARY_SEARCH --
-- --
-- S p e c --
-- --
-- Copyright (C) 2022, AdaCore --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
-- ware Foundation; either version 3, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
------------------------------------------------------------------------------
-- Allow binary search of a sorted array (or of an array-like container;
-- the generic does not reference the array directly).
package GNAT.Binary_Search is
generic
type Index_Type is (<>);
type Element_Type (<>) is private;
with function Get (Index : Index_Type) return Element_Type;
with function Before (Left, Right : Element_Type) return Boolean;
Leftmost : Boolean := True;
function Index
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base;
-- Search for element in sorted container. Function Before should return
-- True when Left and Right are in the container's sort order and not
-- equal. Function Get returns the container element indexed by Index;
-- Index will be in the range First .. Last. If there is at least one index
-- value in the range First .. Last for which Get would return Element,
-- then the Leftmost generic parameter indicates whether the least (if
-- Leftmost is True) or the greatest (if Leftmost is False) such index
-- value is returned. If no such index value exists, then Leftmost
-- determines whether to return the greater (if Leftmost is True) or the
-- smaller (if Leftmost is False) of the two index values between which
-- Element could be inserted. If First > Last (so that a null range is
-- being searched), some Index_Type'Base value will be returned.
-- Start is the index for the first probe of the binary search. It can
-- improve speed of many search operations when user can guess the most
-- likely values. If you do not know what value should be used there, use
-- (First + Last) / 2.
generic
type Index_Type is (<>);
type Element_Type (<>) is private;
with function Before
(Index : Index_Type; Element : Element_Type) return Boolean;
function Leftmost
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base
with Pre => First > Last -- Empty array
or else (Start in First .. Last
and then ( -- To prevent overflow in function result
Index_Type'Base'Last > Last
or else not Before (Last, Element)));
-- Leftmost returns the result described for Index in the case where the
-- Leftmost parameter is True, with Index_Type values mapped to
-- Element_Type values via Get as needed.
generic
type Index_Type is (<>);
type Element_Type (<>) is private;
with function Before
(Element : Element_Type; Index : Index_Type) return Boolean;
function Rightmost
(First, Last, Start : Index_Type;
Element : Element_Type) return Index_Type'Base
with Pre => First > Last -- Empty array
or else (Start in First .. Last
and then ( -- To prevent overflow in function result
Index_Type'Base'First < First
or else not Before (Element, First)));
-- Rightmost returns the result described for Index in the case where the
-- Leftmost parameter is False, with Index_Type values mapped to
-- Element_Type values via Get as needed.
end GNAT.Binary_Search;