143 lines
6.3 KiB
Ada
143 lines
6.3 KiB
Ada
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------------------------------------------------------------------------------
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-- --
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-- GNAT RUN-TIME COMPONENTS --
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-- --
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-- ADA.NUMERICS.GENERIC_REAL_ARRAYS --
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-- --
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-- S p e c --
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-- --
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-- Copyright (C) 2009-2012, Free Software Foundation, Inc. --
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-- --
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-- This specification is derived from the Ada Reference Manual for use with --
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-- GNAT. The copyright notice above, and the license provisions that follow --
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-- apply solely to the contents of the part following the private keyword. --
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-- --
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-- GNAT is free software; you can redistribute it and/or modify it under --
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-- terms of the GNU General Public License as published by the Free Soft- --
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-- ware Foundation; either version 3, or (at your option) any later ver- --
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-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE. --
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-- --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception, --
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-- version 3.1, as published by the Free Software Foundation. --
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-- --
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-- You should have received a copy of the GNU General Public License and --
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-- a copy of the GCC Runtime Library Exception along with this program; --
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-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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-- <http://www.gnu.org/licenses/>. --
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-- --
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-- GNAT was originally developed by the GNAT team at New York University. --
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-- Extensive contributions were provided by Ada Core Technologies Inc. --
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-- --
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------------------------------------------------------------------------------
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generic
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type Real is digits <>;
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package Ada.Numerics.Generic_Real_Arrays is
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pragma Pure (Generic_Real_Arrays);
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-- Types
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type Real_Vector is array (Integer range <>) of Real'Base;
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type Real_Matrix is array (Integer range <>, Integer range <>) of Real'Base;
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-- Subprograms for Real_Vector types
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-- Real_Vector arithmetic operations
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function "+" (Right : Real_Vector) return Real_Vector;
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function "-" (Right : Real_Vector) return Real_Vector;
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function "abs" (Right : Real_Vector) return Real_Vector;
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function "+" (Left, Right : Real_Vector) return Real_Vector;
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function "-" (Left, Right : Real_Vector) return Real_Vector;
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function "*" (Left, Right : Real_Vector) return Real'Base;
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function "abs" (Right : Real_Vector) return Real'Base;
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-- Real_Vector scaling operations
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function "*" (Left : Real'Base; Right : Real_Vector) return Real_Vector;
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function "*" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
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function "/" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
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-- Other Real_Vector operations
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function Unit_Vector
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(Index : Integer;
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Order : Positive;
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First : Integer := 1) return Real_Vector;
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-- Subprograms for Real_Matrix types
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-- Real_Matrix arithmetic operations
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function "+" (Right : Real_Matrix) return Real_Matrix;
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function "-" (Right : Real_Matrix) return Real_Matrix;
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function "abs" (Right : Real_Matrix) return Real_Matrix;
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function Transpose (X : Real_Matrix) return Real_Matrix;
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function "+" (Left, Right : Real_Matrix) return Real_Matrix;
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function "-" (Left, Right : Real_Matrix) return Real_Matrix;
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function "*" (Left, Right : Real_Matrix) return Real_Matrix;
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function "*" (Left, Right : Real_Vector) return Real_Matrix;
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function "*" (Left : Real_Vector; Right : Real_Matrix) return Real_Vector;
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function "*" (Left : Real_Matrix; Right : Real_Vector) return Real_Vector;
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-- Real_Matrix scaling operations
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function "*" (Left : Real'Base; Right : Real_Matrix) return Real_Matrix;
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function "*" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
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function "/" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
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-- Real_Matrix inversion and related operations
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function Solve (A : Real_Matrix; X : Real_Vector) return Real_Vector;
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function Solve (A, X : Real_Matrix) return Real_Matrix;
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function Inverse (A : Real_Matrix) return Real_Matrix;
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function Determinant (A : Real_Matrix) return Real'Base;
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-- Eigenvalues and vectors of a real symmetric matrix
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function Eigenvalues (A : Real_Matrix) return Real_Vector;
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procedure Eigensystem
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(A : Real_Matrix;
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Values : out Real_Vector;
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Vectors : out Real_Matrix);
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-- Other Real_Matrix operations
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function Unit_Matrix
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(Order : Positive;
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First_1 : Integer := 1;
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First_2 : Integer := 1) return Real_Matrix;
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private
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-- The following operations are either relatively simple compared to the
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-- expense of returning unconstrained arrays, or are just function wrappers
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-- calling procedures implementing the actual operation. By having the
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-- front end inline these, the expense of the unconstrained returns
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-- can be avoided.
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-- Note: We use an extended return statement in their implementation to
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-- allow the frontend to inline these functions.
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pragma Inline ("+");
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pragma Inline ("-");
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pragma Inline ("*");
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pragma Inline ("/");
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pragma Inline ("abs");
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pragma Inline (Eigenvalues);
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pragma Inline (Inverse);
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pragma Inline (Solve);
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pragma Inline (Transpose);
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pragma Inline (Unit_Matrix);
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pragma Inline (Unit_Vector);
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end Ada.Numerics.Generic_Real_Arrays;
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