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------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- S Y S T E M . G E N E R I C _ C O M P L E X _ B L A S --
-- --
-- B o d y --
-- --
-- Copyright (C) 2006-2009, Free Software Foundation, Inc. --
-- --
-- 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. --
-- --
------------------------------------------------------------------------------
with Ada.Unchecked_Conversion; use Ada;
with Interfaces; use Interfaces;
with Interfaces.Fortran; use Interfaces.Fortran;
with Interfaces.Fortran.BLAS; use Interfaces.Fortran.BLAS;
with System.Generic_Array_Operations; use System.Generic_Array_Operations;
package body System.Generic_Complex_BLAS is
Is_Single : constant Boolean :=
Real'Machine_Mantissa = Fortran.Real'Machine_Mantissa
and then Fortran.Real (Real'First) = Fortran.Real'First
and then Fortran.Real (Real'Last) = Fortran.Real'Last;
Is_Double : constant Boolean :=
Real'Machine_Mantissa = Double_Precision'Machine_Mantissa
and then
Double_Precision (Real'First) = Double_Precision'First
and then
Double_Precision (Real'Last) = Double_Precision'Last;
subtype Complex is Complex_Types.Complex;
-- Local subprograms
function To_Double_Precision (X : Real) return Double_Precision;
pragma Inline (To_Double_Precision);
function To_Double_Complex (X : Complex) return Double_Complex;
pragma Inline (To_Double_Complex);
function To_Complex (X : Double_Complex) return Complex;
function To_Complex (X : Fortran.Complex) return Complex;
pragma Inline (To_Complex);
function To_Fortran (X : Complex) return Fortran.Complex;
pragma Inline (To_Fortran);
-- Instantiations
function To_Double_Complex is new
Vector_Elementwise_Operation
(X_Scalar => Complex_Types.Complex,
Result_Scalar => Fortran.Double_Complex,
X_Vector => Complex_Vector,
Result_Vector => BLAS.Double_Complex_Vector,
Operation => To_Double_Complex);
function To_Complex is new
Vector_Elementwise_Operation
(X_Scalar => Fortran.Double_Complex,
Result_Scalar => Complex,
X_Vector => BLAS.Double_Complex_Vector,
Result_Vector => Complex_Vector,
Operation => To_Complex);
function To_Double_Complex is new
Matrix_Elementwise_Operation
(X_Scalar => Complex,
Result_Scalar => Double_Complex,
X_Matrix => Complex_Matrix,
Result_Matrix => BLAS.Double_Complex_Matrix,
Operation => To_Double_Complex);
function To_Complex is new
Matrix_Elementwise_Operation
(X_Scalar => Double_Complex,
Result_Scalar => Complex,
X_Matrix => BLAS.Double_Complex_Matrix,
Result_Matrix => Complex_Matrix,
Operation => To_Complex);
function To_Double_Precision (X : Real) return Double_Precision is
begin
return Double_Precision (X);
end To_Double_Precision;
function To_Double_Complex (X : Complex) return Double_Complex is
begin
return (To_Double_Precision (X.Re), To_Double_Precision (X.Im));
end To_Double_Complex;
function To_Complex (X : Double_Complex) return Complex is
begin
return (Real (X.Re), Real (X.Im));
end To_Complex;
function To_Complex (X : Fortran.Complex) return Complex is
begin
return (Real (X.Re), Real (X.Im));
end To_Complex;
function To_Fortran (X : Complex) return Fortran.Complex is
begin
return (Fortran.Real (X.Re), Fortran.Real (X.Im));
end To_Fortran;
---------
-- dot --
---------
function dot
(N : Positive;
X : Complex_Vector;
Inc_X : Integer := 1;
Y : Complex_Vector;
Inc_Y : Integer := 1) return Complex
is
begin
if Is_Single then
declare
type X_Ptr is access all BLAS.Complex_Vector (X'Range);
type Y_Ptr is access all BLAS.Complex_Vector (Y'Range);
function Conv_X is new Unchecked_Conversion (Address, X_Ptr);
function Conv_Y is new Unchecked_Conversion (Address, Y_Ptr);
begin
return To_Complex (BLAS.cdotu (N, Conv_X (X'Address).all, Inc_X,
Conv_Y (Y'Address).all, Inc_Y));
end;
elsif Is_Double then
declare
type X_Ptr is access all BLAS.Double_Complex_Vector (X'Range);
type Y_Ptr is access all BLAS.Double_Complex_Vector (Y'Range);
function Conv_X is new Unchecked_Conversion (Address, X_Ptr);
function Conv_Y is new Unchecked_Conversion (Address, Y_Ptr);
begin
return To_Complex (BLAS.zdotu (N, Conv_X (X'Address).all, Inc_X,
Conv_Y (Y'Address).all, Inc_Y));
end;
else
return To_Complex (BLAS.zdotu (N, To_Double_Complex (X), Inc_X,
To_Double_Complex (Y), Inc_Y));
end if;
end dot;
----------
-- gemm --
----------
procedure gemm
(Trans_A : access constant Character;
Trans_B : access constant Character;
M : Positive;
N : Positive;
K : Positive;
Alpha : Complex := (1.0, 0.0);
A : Complex_Matrix;
Ld_A : Integer;
B : Complex_Matrix;
Ld_B : Integer;
Beta : Complex := (0.0, 0.0);
C : in out Complex_Matrix;
Ld_C : Integer)
is
begin
if Is_Single then
declare
subtype A_Type is BLAS.Complex_Matrix (A'Range (1), A'Range (2));
subtype B_Type is BLAS.Complex_Matrix (B'Range (1), B'Range (2));
type C_Ptr is
access all BLAS.Complex_Matrix (C'Range (1), C'Range (2));
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_B is
new Unchecked_Conversion (Complex_Matrix, B_Type);
function Conv_C is
new Unchecked_Conversion (Address, C_Ptr);
begin
BLAS.cgemm (Trans_A, Trans_B, M, N, K, To_Fortran (Alpha),
Conv_A (A), Ld_A, Conv_B (B), Ld_B, To_Fortran (Beta),
Conv_C (C'Address).all, Ld_C);
end;
elsif Is_Double then
declare
subtype A_Type is
BLAS.Double_Complex_Matrix (A'Range (1), A'Range (2));
subtype B_Type is
BLAS.Double_Complex_Matrix (B'Range (1), B'Range (2));
type C_Ptr is access all
BLAS.Double_Complex_Matrix (C'Range (1), C'Range (2));
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_B is
new Unchecked_Conversion (Complex_Matrix, B_Type);
function Conv_C is new Unchecked_Conversion (Address, C_Ptr);
begin
BLAS.zgemm (Trans_A, Trans_B, M, N, K, To_Double_Complex (Alpha),
Conv_A (A), Ld_A, Conv_B (B), Ld_B,
To_Double_Complex (Beta),
Conv_C (C'Address).all, Ld_C);
end;
else
declare
DP_C : BLAS.Double_Complex_Matrix (C'Range (1), C'Range (2));
begin
if Beta.Re /= 0.0 or else Beta.Im /= 0.0 then
DP_C := To_Double_Complex (C);
end if;
BLAS.zgemm (Trans_A, Trans_B, M, N, K, To_Double_Complex (Alpha),
To_Double_Complex (A), Ld_A,
To_Double_Complex (B), Ld_B, To_Double_Complex (Beta),
DP_C, Ld_C);
C := To_Complex (DP_C);
end;
end if;
end gemm;
----------
-- gemv --
----------
procedure gemv
(Trans : access constant Character;
M : Natural := 0;
N : Natural := 0;
Alpha : Complex := (1.0, 0.0);
A : Complex_Matrix;
Ld_A : Positive;
X : Complex_Vector;
Inc_X : Integer := 1;
Beta : Complex := (0.0, 0.0);
Y : in out Complex_Vector;
Inc_Y : Integer := 1)
is
begin
if Is_Single then
declare
subtype A_Type is BLAS.Complex_Matrix (A'Range (1), A'Range (2));
subtype X_Type is BLAS.Complex_Vector (X'Range);
type Y_Ptr is access all BLAS.Complex_Vector (Y'Range);
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_X is
new Unchecked_Conversion (Complex_Vector, X_Type);
function Conv_Y is
new Unchecked_Conversion (Address, Y_Ptr);
begin
BLAS.cgemv (Trans, M, N, To_Fortran (Alpha),
Conv_A (A), Ld_A, Conv_X (X), Inc_X, To_Fortran (Beta),
Conv_Y (Y'Address).all, Inc_Y);
end;
elsif Is_Double then
declare
subtype A_Type is
BLAS.Double_Complex_Matrix (A'Range (1), A'Range (2));
subtype X_Type is
BLAS.Double_Complex_Vector (X'Range);
type Y_Ptr is access all BLAS.Double_Complex_Vector (Y'Range);
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_X is
new Unchecked_Conversion (Complex_Vector, X_Type);
function Conv_Y is
new Unchecked_Conversion (Address, Y_Ptr);
begin
BLAS.zgemv (Trans, M, N, To_Double_Complex (Alpha),
Conv_A (A), Ld_A, Conv_X (X), Inc_X,
To_Double_Complex (Beta),
Conv_Y (Y'Address).all, Inc_Y);
end;
else
declare
DP_Y : BLAS.Double_Complex_Vector (Y'Range);
begin
if Beta.Re /= 0.0 or else Beta.Im /= 0.0 then
DP_Y := To_Double_Complex (Y);
end if;
BLAS.zgemv (Trans, M, N, To_Double_Complex (Alpha),
To_Double_Complex (A), Ld_A,
To_Double_Complex (X), Inc_X, To_Double_Complex (Beta),
DP_Y, Inc_Y);
Y := To_Complex (DP_Y);
end;
end if;
end gemv;
----------
-- nrm2 --
----------
function nrm2
(N : Natural;
X : Complex_Vector;
Inc_X : Integer := 1) return Real
is
begin
if Is_Single then
declare
subtype X_Type is BLAS.Complex_Vector (X'Range);
function Conv_X is
new Unchecked_Conversion (Complex_Vector, X_Type);
begin
return Real (BLAS.scnrm2 (N, Conv_X (X), Inc_X));
end;
elsif Is_Double then
declare
subtype X_Type is BLAS.Double_Complex_Vector (X'Range);
function Conv_X is
new Unchecked_Conversion (Complex_Vector, X_Type);
begin
return Real (BLAS.dznrm2 (N, Conv_X (X), Inc_X));
end;
else
return Real (BLAS.dznrm2 (N, To_Double_Complex (X), Inc_X));
end if;
end nrm2;
end System.Generic_Complex_BLAS;
|
