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-------------------------------------------------------------------------------
--- --
--- GNAT RUN-TIME COMPONENTS --
--- --
--- ADA.NUMERICS.GENERIC_REAL_ARRAYS --
--- --
--- S p e c --
--- --
--- Copyright (C) 2009, 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 contents of the part following the private keyword. --
--- --
--- 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 Real is digits <>;
-package Ada.Numerics.Generic_Real_Arrays is
- pragma Pure (Generic_Real_Arrays);
-
- -- Types
-
- type Real_Vector is array (Integer range <>) of Real'Base;
- type Real_Matrix is array (Integer range <>, Integer range <>) of Real'Base;
-
- -- Subprograms for Real_Vector types
-
- -- Real_Vector arithmetic operations
-
- function "+" (Right : Real_Vector) return Real_Vector;
- function "-" (Right : Real_Vector) return Real_Vector;
- function "abs" (Right : Real_Vector) return Real_Vector;
-
- function "+" (Left, Right : Real_Vector) return Real_Vector;
- function "-" (Left, Right : Real_Vector) return Real_Vector;
-
- function "*" (Left, Right : Real_Vector) return Real'Base;
-
- function "abs" (Right : Real_Vector) return Real'Base;
-
- -- Real_Vector scaling operations
-
- function "*" (Left : Real'Base; Right : Real_Vector) return Real_Vector;
- function "*" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
- function "/" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
-
- -- Other Real_Vector operations
-
- function Unit_Vector
- (Index : Integer;
- Order : Positive;
- First : Integer := 1) return Real_Vector;
-
- -- Subprograms for Real_Matrix types
-
- -- Real_Matrix arithmetic operations
-
- function "+" (Right : Real_Matrix) return Real_Matrix;
- function "-" (Right : Real_Matrix) return Real_Matrix;
- function "abs" (Right : Real_Matrix) return Real_Matrix;
- function Transpose (X : Real_Matrix) return Real_Matrix;
-
- function "+" (Left, Right : Real_Matrix) return Real_Matrix;
- function "-" (Left, Right : Real_Matrix) return Real_Matrix;
- function "*" (Left, Right : Real_Matrix) return Real_Matrix;
-
- function "*" (Left, Right : Real_Vector) return Real_Matrix;
-
- function "*" (Left : Real_Vector; Right : Real_Matrix) return Real_Vector;
- function "*" (Left : Real_Matrix; Right : Real_Vector) return Real_Vector;
-
- -- Real_Matrix scaling operations
-
- function "*" (Left : Real'Base; Right : Real_Matrix) return Real_Matrix;
- function "*" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
- function "/" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
-
- -- Real_Matrix inversion and related operations
-
- function Solve (A : Real_Matrix; X : Real_Vector) return Real_Vector;
- function Solve (A, X : Real_Matrix) return Real_Matrix;
- function Inverse (A : Real_Matrix) return Real_Matrix;
- function Determinant (A : Real_Matrix) return Real'Base;
-
- -- Eigenvalues and vectors of a real symmetric matrix
-
- function Eigenvalues (A : Real_Matrix) return Real_Vector;
-
- procedure Eigensystem
- (A : Real_Matrix;
- Values : out Real_Vector;
- Vectors : out Real_Matrix);
-
- -- Other Real_Matrix operations
-
- function Unit_Matrix
- (Order : Positive;
- First_1 : Integer := 1;
- First_2 : Integer := 1) return Real_Matrix;
-
-private
- -- The following operations are either relatively simple compared to the
- -- expense of returning unconstrained arrays, or are just function wrappers
- -- calling procedures implementing the actual operation. By having the
- -- front end always inline these, the expense of the unconstrained returns
- -- can be avoided.
-
- pragma Inline_Always ("+");
- pragma Inline_Always ("-");
- pragma Inline_Always ("*");
- pragma Inline_Always ("/");
- pragma Inline_Always ("abs");
- pragma Inline_Always (Eigenvalues);
- pragma Inline_Always (Inverse);
- pragma Inline_Always (Solve);
- pragma Inline_Always (Transpose);
- pragma Inline_Always (Unit_Matrix);
- pragma Inline_Always (Unit_Vector);
-end Ada.Numerics.Generic_Real_Arrays;