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|
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- SYSTEM.GENERIC_REAL_LAPACK --
-- --
-- B o d y --
-- --
-- Copyright (C) 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 Interfaces.Fortran.LAPACK; use Interfaces.Fortran.LAPACK;
with System.Generic_Array_Operations; use System.Generic_Array_Operations;
package body System.Generic_Real_LAPACK is
Is_Real : 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_Precision : 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;
-- Local subprograms
function To_Double_Precision (X : Real) return Double_Precision;
pragma Inline_Always (To_Double_Precision);
function To_Real (X : Double_Precision) return Real;
pragma Inline_Always (To_Real);
-- Instantiations
function To_Double_Precision is new
Vector_Elementwise_Operation
(X_Scalar => Real,
Result_Scalar => Double_Precision,
X_Vector => Real_Vector,
Result_Vector => Double_Precision_Vector,
Operation => To_Double_Precision);
function To_Real is new
Vector_Elementwise_Operation
(X_Scalar => Double_Precision,
Result_Scalar => Real,
X_Vector => Double_Precision_Vector,
Result_Vector => Real_Vector,
Operation => To_Real);
function To_Double_Precision is new
Matrix_Elementwise_Operation
(X_Scalar => Real,
Result_Scalar => Double_Precision,
X_Matrix => Real_Matrix,
Result_Matrix => Double_Precision_Matrix,
Operation => To_Double_Precision);
function To_Real is new
Matrix_Elementwise_Operation
(X_Scalar => Double_Precision,
Result_Scalar => Real,
X_Matrix => Double_Precision_Matrix,
Result_Matrix => Real_Matrix,
Operation => To_Real);
function To_Double_Precision (X : Real) return Double_Precision is
begin
return Double_Precision (X);
end To_Double_Precision;
function To_Real (X : Double_Precision) return Real is
begin
return Real (X);
end To_Real;
-----------
-- getrf --
-----------
procedure getrf
(M : Natural;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer)
is
begin
if Is_Real then
declare
type A_Ptr is
access all BLAS.Real_Matrix (A'Range (1), A'Range (2));
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
begin
sgetrf (M, N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv), Info);
end;
elsif Is_Double_Precision then
declare
type A_Ptr is
access all Double_Precision_Matrix (A'Range (1), A'Range (2));
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
begin
dgetrf (M, N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv), Info);
end;
else
declare
DP_A : Double_Precision_Matrix (A'Range (1), A'Range (2));
begin
DP_A := To_Double_Precision (A);
dgetrf (M, N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv), Info);
A := To_Real (DP_A);
end;
end if;
end getrf;
-----------
-- getri --
-----------
procedure getri
(N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Real_Vector;
L_Work : Integer;
Info : access Integer)
is
begin
if Is_Real then
declare
type A_Ptr is
access all BLAS.Real_Matrix (A'Range (1), A'Range (2));
type Work_Ptr is
access all BLAS.Real_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
sgetri (N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv),
Conv_Work (Work'Address).all, L_Work,
Info);
end;
elsif Is_Double_Precision then
declare
type A_Ptr is
access all Double_Precision_Matrix (A'Range (1), A'Range (2));
type Work_Ptr is
access all Double_Precision_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
dgetri (N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv),
Conv_Work (Work'Address).all, L_Work,
Info);
end;
else
declare
DP_A : Double_Precision_Matrix (A'Range (1), A'Range (2));
DP_Work : Double_Precision_Vector (Work'Range);
begin
DP_A := To_Double_Precision (A);
dgetri (N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv),
DP_Work, L_Work, Info);
A := To_Real (DP_A);
Work (1) := To_Real (DP_Work (1));
end;
end if;
end getri;
-----------
-- getrs --
-----------
procedure getrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Real_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Real_Matrix;
Ld_B : Positive;
Info : access Integer)
is
begin
if Is_Real then
declare
subtype A_Type is BLAS.Real_Matrix (A'Range (1), A'Range (2));
type B_Ptr is
access all BLAS.Real_Matrix (B'Range (1), B'Range (2));
function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
function Conv_B is new Unchecked_Conversion (Address, B_Ptr);
begin
sgetrs (Trans, N, N_Rhs,
Conv_A (A), Ld_A,
LAPACK.Integer_Vector (I_Piv),
Conv_B (B'Address).all, Ld_B,
Info);
end;
elsif Is_Double_Precision then
declare
subtype A_Type is
Double_Precision_Matrix (A'Range (1), A'Range (2));
type B_Ptr is
access all Double_Precision_Matrix (B'Range (1), B'Range (2));
function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
function Conv_B is new Unchecked_Conversion (Address, B_Ptr);
begin
dgetrs (Trans, N, N_Rhs,
Conv_A (A), Ld_A,
LAPACK.Integer_Vector (I_Piv),
Conv_B (B'Address).all, Ld_B,
Info);
end;
else
declare
DP_A : Double_Precision_Matrix (A'Range (1), A'Range (2));
DP_B : Double_Precision_Matrix (B'Range (1), B'Range (2));
begin
DP_A := To_Double_Precision (A);
DP_B := To_Double_Precision (B);
dgetrs (Trans, N, N_Rhs,
DP_A, Ld_A,
LAPACK.Integer_Vector (I_Piv),
DP_B, Ld_B,
Info);
B := To_Real (DP_B);
end;
end if;
end getrs;
-----------
-- orgtr --
-----------
procedure orgtr
(Uplo : access constant Character;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
Tau : Real_Vector;
Work : out Real_Vector;
L_Work : Integer;
Info : access Integer)
is
begin
if Is_Real then
declare
type A_Ptr is
access all BLAS.Real_Matrix (A'Range (1), A'Range (2));
subtype Tau_Type is BLAS.Real_Vector (Tau'Range);
type Work_Ptr is
access all BLAS.Real_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Tau is
new Unchecked_Conversion (Real_Vector, Tau_Type);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
sorgtr (Uplo, N,
Conv_A (A'Address).all, Ld_A,
Conv_Tau (Tau),
Conv_Work (Work'Address).all, L_Work,
Info);
end;
elsif Is_Double_Precision then
declare
type A_Ptr is
access all Double_Precision_Matrix (A'Range (1), A'Range (2));
subtype Tau_Type is Double_Precision_Vector (Tau'Range);
type Work_Ptr is
access all Double_Precision_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Tau is
new Unchecked_Conversion (Real_Vector, Tau_Type);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
dorgtr (Uplo, N,
Conv_A (A'Address).all, Ld_A,
Conv_Tau (Tau),
Conv_Work (Work'Address).all, L_Work,
Info);
end;
else
declare
DP_A : Double_Precision_Matrix (A'Range (1), A'Range (2));
DP_Work : Double_Precision_Vector (Work'Range);
DP_Tau : Double_Precision_Vector (Tau'Range);
begin
DP_A := To_Double_Precision (A);
DP_Tau := To_Double_Precision (Tau);
dorgtr (Uplo, N, DP_A, Ld_A, DP_Tau, DP_Work, L_Work, Info);
A := To_Real (DP_A);
Work (1) := To_Real (DP_Work (1));
end;
end if;
end orgtr;
-----------
-- steqr --
-----------
procedure steqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Z : in out Real_Matrix;
Ld_Z : Positive;
Work : out Real_Vector;
Info : access Integer)
is
begin
if Is_Real then
declare
type D_Ptr is access all BLAS.Real_Vector (D'Range);
type E_Ptr is access all BLAS.Real_Vector (E'Range);
type Z_Ptr is
access all BLAS.Real_Matrix (Z'Range (1), Z'Range (2));
type Work_Ptr is
access all BLAS.Real_Vector (Work'Range);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
ssteqr (Comp_Z, N,
Conv_D (D'Address).all,
Conv_E (E'Address).all,
Conv_Z (Z'Address).all,
Ld_Z,
Conv_Work (Work'Address).all,
Info);
end;
elsif Is_Double_Precision then
declare
type D_Ptr is access all Double_Precision_Vector (D'Range);
type E_Ptr is access all Double_Precision_Vector (E'Range);
type Z_Ptr is
access all Double_Precision_Matrix (Z'Range (1), Z'Range (2));
type Work_Ptr is
access all Double_Precision_Vector (Work'Range);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
dsteqr (Comp_Z, N,
Conv_D (D'Address).all,
Conv_E (E'Address).all,
Conv_Z (Z'Address).all,
Ld_Z,
Conv_Work (Work'Address).all,
Info);
end;
else
declare
DP_D : Double_Precision_Vector (D'Range);
DP_E : Double_Precision_Vector (E'Range);
DP_Z : Double_Precision_Matrix (Z'Range (1), Z'Range (2));
DP_Work : Double_Precision_Vector (Work'Range);
begin
DP_D := To_Double_Precision (D);
DP_E := To_Double_Precision (E);
if Comp_Z.all = 'V' then
DP_Z := To_Double_Precision (Z);
end if;
dsteqr (Comp_Z, N, DP_D, DP_E, DP_Z, Ld_Z, DP_Work, Info);
D := To_Real (DP_D);
E := To_Real (DP_E);
Z := To_Real (DP_Z);
end;
end if;
end steqr;
-----------
-- sterf --
-----------
procedure sterf
(N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Info : access Integer)
is
begin
if Is_Real then
declare
type D_Ptr is access all BLAS.Real_Vector (D'Range);
type E_Ptr is access all BLAS.Real_Vector (E'Range);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
begin
ssterf (N, Conv_D (D'Address).all, Conv_E (E'Address).all, Info);
end;
elsif Is_Double_Precision then
declare
type D_Ptr is access all Double_Precision_Vector (D'Range);
type E_Ptr is access all Double_Precision_Vector (E'Range);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
begin
dsterf (N, Conv_D (D'Address).all, Conv_E (E'Address).all, Info);
end;
else
declare
DP_D : Double_Precision_Vector (D'Range);
DP_E : Double_Precision_Vector (E'Range);
begin
DP_D := To_Double_Precision (D);
DP_E := To_Double_Precision (E);
dsterf (N, DP_D, DP_E, Info);
D := To_Real (DP_D);
E := To_Real (DP_E);
end;
end if;
end sterf;
-----------
-- sytrd --
-----------
procedure sytrd
(Uplo : access constant Character;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
D : out Real_Vector;
E : out Real_Vector;
Tau : out Real_Vector;
Work : out Real_Vector;
L_Work : Integer;
Info : access Integer)
is
begin
if Is_Real then
declare
type A_Ptr is
access all BLAS.Real_Matrix (A'Range (1), A'Range (2));
type D_Ptr is access all BLAS.Real_Vector (D'Range);
type E_Ptr is access all BLAS.Real_Vector (E'Range);
type Tau_Ptr is access all BLAS.Real_Vector (Tau'Range);
type Work_Ptr is
access all BLAS.Real_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
function Conv_Tau is new Unchecked_Conversion (Address, Tau_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
ssytrd (Uplo, N,
Conv_A (A'Address).all, Ld_A,
Conv_D (D'Address).all,
Conv_E (E'Address).all,
Conv_Tau (Tau'Address).all,
Conv_Work (Work'Address).all,
L_Work,
Info);
end;
elsif Is_Double_Precision then
declare
type A_Ptr is
access all Double_Precision_Matrix (A'Range (1), A'Range (2));
type D_Ptr is access all Double_Precision_Vector (D'Range);
type E_Ptr is access all Double_Precision_Vector (E'Range);
type Tau_Ptr is access all Double_Precision_Vector (Tau'Range);
type Work_Ptr is
access all Double_Precision_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_D is new Unchecked_Conversion (Address, D_Ptr);
function Conv_E is new Unchecked_Conversion (Address, E_Ptr);
function Conv_Tau is new Unchecked_Conversion (Address, Tau_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
dsytrd (Uplo, N,
Conv_A (A'Address).all, Ld_A,
Conv_D (D'Address).all,
Conv_E (E'Address).all,
Conv_Tau (Tau'Address).all,
Conv_Work (Work'Address).all,
L_Work,
Info);
end;
else
declare
DP_A : Double_Precision_Matrix (A'Range (1), A'Range (2));
DP_D : Double_Precision_Vector (D'Range);
DP_E : Double_Precision_Vector (E'Range);
DP_Tau : Double_Precision_Vector (Tau'Range);
DP_Work : Double_Precision_Vector (Work'Range);
begin
DP_A := To_Double_Precision (A);
dsytrd (Uplo, N, DP_A, Ld_A, DP_D, DP_E, DP_Tau,
DP_Work, L_Work, Info);
if L_Work /= -1 then
A := To_Real (DP_A);
D := To_Real (DP_D);
E := To_Real (DP_E);
Tau := To_Real (DP_Tau);
end if;
Work (1) := To_Real (DP_Work (1));
end;
end if;
end sytrd;
end System.Generic_Real_LAPACK;
|
