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-------------------------------------------------------------------------------
--- --
--- GNAT RUN-TIME COMPONENTS --
--- --
--- ADA.NUMERICS.GENERIC_ELEMENTARY_FUNCTIONS --
--- --
--- S p e c --
--- --
--- Copyright (C) 2012, Free Software Foundation, Inc. --
--- --
--- This specification is derived from the Ada Reference Manual for use with --
--- GNAT. The copyright notice above, and the license provisions that follow --
--- apply solely to the Post aspects that have been added to the spec. --
--- --
--- 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. --
--- --
-------------------------------------------------------------------------------
-
-generic
- type Float_Type is digits <>;
-
-package Ada.Numerics.Generic_Elementary_Functions is
- pragma Pure;
-
- 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
- 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
- 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
- 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
- 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;