2012-05-15 Basile Starynkevitch <basile@starynkevitch.net>

	MELT branch merged with trunk rev 187525 using svnmerge



git-svn-id: svn+ssh://gcc.gnu.org/svn/gcc/branches/melt-branch@187527 138bc75d-0d04-0410-961f-82ee72b054a4

1 files changed, 144 insertions, 34 deletions

diff --git a/gcc/ada/a-ngelfu.ads b/gcc/ada/a-ngelfu.ads
index d84828a7ccb..03aed54b966 100644
--- a/gcc/ada/a-ngelfu.ads
+++ b/gcc/ada/a-ngelfu.ads
@@ -6,10 +6,34 @@
 --                                                                          --
 --                                 S p e c                                  --
 --                                                                          --
+--              Copyright (C) 2012, Free Software Foundation, Inc.         --
+--                                                                          --
 -- This specification is derived from the Ada Reference Manual for use with --
--- GNAT.  In accordance with the copyright of that document, you can freely --
--- copy and modify this specification,  provided that if you redistribute a --
--- modified version,  any changes that you have made are clearly indicated. --
+-- GNAT. The copyright notice above, and the license provisions that follow --
+-- apply solely to the Post aspects that have been added to the spec.       --
+-- Except for these parts of the document, in accordance with the copyright --
+-- of that document,  you can  freely copy and  modify this  specification, --
+-- provided that  if you redistribute a modified version,  any changes that --
+-- you have made are clearly indicated.                                     --
+--                                                                          --
+-- 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/>.                                          --
+--                                                                          --
+-- GNAT was originally developed  by the GNAT team at  New York University. --
+-- Extensive contributions were provided by Ada Core Technologies Inc.      --
 --                                                                          --
 ------------------------------------------------------------------------------
 
@@ -19,55 +43,141 @@ generic
 package Ada.Numerics.Generic_Elementary_Functions is
    pragma Pure;
 
-   function Sqrt    (X           : Float_Type'Base) return Float_Type'Base;
-   function Log     (X           : Float_Type'Base) return Float_Type'Base;
-   function Log     (X, Base     : Float_Type'Base) return Float_Type'Base;
-   function Exp     (X           : Float_Type'Base) return Float_Type'Base;
-   function "**"    (Left, Right : Float_Type'Base) return Float_Type'Base;
-
-   function Sin     (X           : Float_Type'Base) return Float_Type'Base;
-   function Sin     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
-   function Cos     (X           : Float_Type'Base) return Float_Type'Base;
-   function Cos     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
-   function Tan     (X           : Float_Type'Base) return Float_Type'Base;
-   function Tan     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
-   function Cot     (X           : Float_Type'Base) return Float_Type'Base;
-   function Cot     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
-
-   function Arcsin  (X           : Float_Type'Base) return Float_Type'Base;
-   function Arcsin  (X, Cycle    : Float_Type'Base) return Float_Type'Base;
-   function Arccos  (X           : Float_Type'Base) return Float_Type'Base;
-   function Arccos  (X, Cycle    : Float_Type'Base) return Float_Type'Base;
+   function Sqrt (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Sqrt'Result >= 0.0
+       and then (if X = 0.0 then Sqrt'Result = 0.0)
+       and then (if X = 1.0 then Sqrt'Result = 1.0);
+
+   function Log (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 1.0 then Log'Result = 0.0);
+
+   function Log (X, Base : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 1.0 then Log'Result = 0.0);
+
+   function Exp (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Exp'Result = 1.0);
+
+   function "**" (Left, Right : Float_Type'Base) return Float_Type'Base
+   with
+     Post => "**"'Result >= 0.0
+       and then (if Right = 0.0 then "**"'Result = 1.0)
+       and then (if Right = 1.0 then "**"'Result = Left)
+       and then (if Left = 1.0 then "**"'Result = 1.0)
+       and then (if Left = 0.0 then "**"'Result = 0.0);
+
+   function Sin (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Sin'Result in -1.0 .. 1.0
+       and then (if X = 0.0 then Sin'Result = 0.0);
+
+   function Sin (X, Cycle : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Sin'Result in -1.0 .. 1.0
+       and then (if X = 0.0 then Sin'Result = 0.0);
+
+   function Cos (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Cos'Result in -1.0 .. 1.0
+       and then (if X = 0.0 then Cos'Result = 1.0);
+
+   function Cos (X, Cycle : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Cos'Result in -1.0 .. 1.0
+       and then  (if X = 0.0 then Cos'Result = 1.0);
+
+   function Tan (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Tan'Result = 0.0);
+
+   function Tan (X, Cycle : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Tan'Result = 0.0);
+
+   function Cot (X : Float_Type'Base) return Float_Type'Base;
+
+   function Cot (X, Cycle : Float_Type'Base) return Float_Type'Base;
+
+   function Arcsin (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Arcsin'Result = 0.0);
+
+   function Arcsin (X, Cycle : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Arcsin'Result = 0.0);
+
+   function Arccos (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 1.0 then Arccos'Result = 0.0);
+
+   function Arccos (X, Cycle : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 1.0 then Arccos'Result = 0.0);
 
    function Arctan
      (Y   : Float_Type'Base;
       X   : Float_Type'Base := 1.0)
-     return Float_Type'Base;
+     return Float_Type'Base
+   with
+     Post => (if X > 0.0 and Y = 0.0 then Arctan'Result = 0.0);
 
    function Arctan
      (Y     : Float_Type'Base;
       X     : Float_Type'Base := 1.0;
       Cycle : Float_Type'Base)
-      return  Float_Type'Base;
+      return  Float_Type'Base
+   with
+     Post => (if X > 0.0 and Y = 0.0 then Arctan'Result = 0.0);
 
    function Arccot
      (X   : Float_Type'Base;
       Y   : Float_Type'Base := 1.0)
-     return Float_Type'Base;
+     return Float_Type'Base
+   with
+     Post => (if X > 0.0 and Y = 0.0 then Arccot'Result = 0.0);
 
    function Arccot
      (X     : Float_Type'Base;
       Y     : Float_Type'Base := 1.0;
       Cycle : Float_Type'Base)
-     return   Float_Type'Base;
-
-   function Sinh    (X : Float_Type'Base) return Float_Type'Base;
-   function Cosh    (X : Float_Type'Base) return Float_Type'Base;
-   function Tanh    (X : Float_Type'Base) return Float_Type'Base;
-   function Coth    (X : Float_Type'Base) return Float_Type'Base;
-   function Arcsinh (X : Float_Type'Base) return Float_Type'Base;
-   function Arccosh (X : Float_Type'Base) return Float_Type'Base;
-   function Arctanh (X : Float_Type'Base) return Float_Type'Base;
+     return   Float_Type'Base
+   with
+     Post => (if X > 0.0 and Y = 0.0 then Arccot'Result = 0.0);
+
+   function Sinh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Sinh'Result = 0.0);
+
+   function Cosh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Cosh'Result >= 1.0
+       and then (if X = 0.0 then Cosh'Result = 1.0);
+
+   function Tanh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Tanh'Result in -1.0 .. 1.0
+       and then (if X = 0.0 then Tanh'Result = 0.0);
+
+   function Coth (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => abs Coth'Result >= 1.0;
+
+   function Arcsinh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Arcsinh'Result = 0.0);
+
+   function Arccosh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => Arccosh'Result >= 0.0
+       and then (if X = 1.0 then Arccosh'Result = 0.0);
+
+   function Arctanh (X : Float_Type'Base) return Float_Type'Base
+   with
+     Post => (if X = 0.0 then Arctanh'Result = 0.0);
+
    function Arccoth (X : Float_Type'Base) return Float_Type'Base;
 
 end Ada.Numerics.Generic_Elementary_Functions;