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Ada Programming/Libraries/Ada.Numerics.Generic Real Arrays
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Ada.Numerics.Generic_Real_Arrays
__TOC__
Ada Numerics Generic_Real_Arrays is a unit of the Predefined Language Environment since Ada 2005.
Specification
Standard Ada library specification
Copyright (c) 2003-2018 Maxim Reznik <reznikmm@gmail.com>
Copyright (c) 2004-2016 AXE Consultants
Copyright (c) 2004, 2005, 2006 Ada-Europe
Copyright (c) 2000 The MITRE Corporation, Inc.
Copyright (c) 1992, 1993, 1994, 1995 Intermetrics, Inc.
SPDX-License-Identifier: BSD-3-Clause and LicenseRef-AdaReferenceManual
-------------------------------------------------------------------------
generic
type Real is digits box <>;
package Ada Numerics Generic_Real_Arrays is
pragma Pure (Generic_Real_Arrays);
Types
type Real_Vector is array (Integer range box <>) of Real'Base;
type Real_Matrix is array (Integer range box <>, Integer range box <>) of Real'Base;
Subprograms for Real_Vector types
Real_Vector arithmetic operations
function "+" (Right : in Real_Vector) return Real_Vector;
function "-" (Right : in Real_Vector) return Real_Vector;
function "abs" (Right : in Real_Vector) return Real_Vector;
function "+" (Left : in Real_Vector;
Right : Real_Vector)
return Real_Vector;
function "-" (Left : in Real_Vector;
Right : Real_Vector)
return Real_Vector;
function "*" (Left : in Real_Vector;
Right : Real_Vector)
return Real'Base;
function "abs" (Right : in Real_Vector) return Real'Base;
Real_Vector scaling operations
function "*" (Left : in Real'Base;
Right : in Real_Vector)
return Real_Vector;
function "*" (Left : in Real_Vector;
Right : in Real'Base)
return Real_Vector;
function "/" (Left : in Real_Vector;
Right : in Real'Base)
return Real_Vector;
Other Real_Vector operations
function Unit_Vector (Index : in Integer;
Order : in Positive;
First : in Integer := 1)
return Real_Vector;
Subprograms for Real_Matrix types
Real_Matrix arithmetic operations
function "+" (Right : in Real_Matrix) return Real_Matrix;
function "-" (Right : in Real_Matrix) return Real_Matrix;
function "abs" (Right : in Real_Matrix) return Real_Matrix;
function Transpose (X : in Real_Matrix) return Real_Matrix;
function "+" (Left : in Real_Matrix;
Right : in Real_Matrix)
return Real_Matrix;
function "-" (Left : in Real_Matrix;
Right : in Real_Matrix)
return Real_Matrix;
function "*" (Left : in Real_Matrix;
Right : in Real_Matrix)
return Real_Matrix;
function "*" (Left : in Real_Matrix;
Right : in Real_Vector)
return Real_Matrix;
function "*" (Left : in Real_Vector;
Right : in Real_Matrix)
return Real_Vector;
function "*" (Left : in Real_Matrix;
Right : in Real_Vector)
return Real_Vector;
Real_Matrix scaling operations
function "*" (Left : in Real'Base;
Right : in Real_Matrix)
return Real_Matrix;
function "*" (Left : in Real_Matrix;
Right : in Real'Base)
return Real_Matrix;
function "/" (Left : in Real_Matrix;
Right : in Real'Base)
return Real_Matrix;
Real_Matrix inversion and related operations
function Solve (A : in Real_Matrix;
X : in Real_Vector)
return Real_Vector;
function Solve (A : in Real_Matrix;
X : in Real_Matrix)
return Real_Matrix;
function Inverse (A : in Real_Matrix) return Real_Matrix;
function Determinant (A : in Real_Matrix) return Real'Base;
Eigenvalues and vectors of a real symmetric matrix
function Eigenvalues (A : in Real_Matrix) return Real_Vector;
procedure Eigensystem (A : in 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;
end Adadot .Numericsdot .Generic_Real_Arrays;
See also
Wikibook
Ada Programming/Libraries/Ada
Ada Reference Manual
Ada 2005
G 3 1 Real Vectors and Matrices
Ada 2012
G 3 1 Real Vectors and Matrices
Open-Source Implementations
a-ngrear.ads a-ngrear.adb
numerics/a-ngrear.ads numerics/a-ngrear.adb