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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 _ L A P A C K --
-- --
-- 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 Interfaces.Fortran.LAPACK; use Interfaces.Fortran.LAPACK;
with System.Generic_Array_Operations; use System.Generic_Array_Operations;
package body System.Generic_Complex_LAPACK 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_Real (X : Double_Precision) return Real;
pragma Inline (To_Real);
function To_Double_Complex (X : Complex) return Double_Complex;
pragma Inline (To_Double_Complex);
function To_Complex (X : Double_Complex) return Complex;
pragma Inline (To_Complex);
-- 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_Complex is new
Matrix_Elementwise_Operation
(X_Scalar => Complex,
Result_Scalar => Double_Complex,
X_Matrix => Complex_Matrix,
Result_Matrix => Double_Complex_Matrix,
Operation => To_Double_Complex);
function To_Complex is new
Matrix_Elementwise_Operation
(X_Scalar => Double_Complex,
Result_Scalar => Complex,
X_Matrix => 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_Real (X : Double_Precision) return Real is
begin
return Real (X);
end To_Real;
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;
-----------
-- getrf --
-----------
procedure getrf
(M : Natural;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer)
is
begin
if Is_Single then
declare
type A_Ptr is
access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
begin
cgetrf (M, N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv), Info);
end;
elsif Is_Double then
declare
type A_Ptr is
access all Double_Complex_Matrix (A'Range (1), A'Range (2));
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
begin
zgetrf (M, N, Conv_A (A'Address).all, Ld_A,
LAPACK.Integer_Vector (I_Piv), Info);
end;
else
declare
DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));
begin
DP_A := To_Double_Complex (A);
zgetrf (M, N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv), Info);
A := To_Complex (DP_A);
end;
end if;
end getrf;
-----------
-- getri --
-----------
procedure getri
(N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Complex_Vector;
L_Work : Integer;
Info : access Integer)
is
begin
if Is_Single then
declare
type A_Ptr is
access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));
type Work_Ptr is
access all BLAS.Complex_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
cgetri (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 then
declare
type A_Ptr is
access all Double_Complex_Matrix (A'Range (1), A'Range (2));
type Work_Ptr is
access all Double_Complex_Vector (Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
begin
zgetri (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_Complex_Matrix (A'Range (1), A'Range (2));
DP_Work : Double_Complex_Vector (Work'Range);
begin
DP_A := To_Double_Complex (A);
zgetri (N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv),
DP_Work, L_Work, Info);
A := To_Complex (DP_A);
Work (1) := To_Complex (DP_Work (1));
end;
end if;
end getri;
-----------
-- getrs --
-----------
procedure getrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Complex_Matrix;
Ld_B : Positive;
Info : access Integer)
is
begin
if Is_Single then
declare
subtype A_Type is BLAS.Complex_Matrix (A'Range (1), A'Range (2));
type B_Ptr is
access all BLAS.Complex_Matrix (B'Range (1), B'Range (2));
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_B is new Unchecked_Conversion (Address, B_Ptr);
begin
cgetrs (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 then
declare
subtype A_Type is
Double_Complex_Matrix (A'Range (1), A'Range (2));
type B_Ptr is
access all Double_Complex_Matrix (B'Range (1), B'Range (2));
function Conv_A is
new Unchecked_Conversion (Complex_Matrix, A_Type);
function Conv_B is new Unchecked_Conversion (Address, B_Ptr);
begin
zgetrs (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_Complex_Matrix (A'Range (1), A'Range (2));
DP_B : Double_Complex_Matrix (B'Range (1), B'Range (2));
begin
DP_A := To_Double_Complex (A);
DP_B := To_Double_Complex (B);
zgetrs (Trans, N, N_Rhs,
DP_A, Ld_A,
LAPACK.Integer_Vector (I_Piv),
DP_B, Ld_B,
Info);
B := To_Complex (DP_B);
end;
end if;
end getrs;
procedure heevr
(Job_Z : access constant Character;
Rng : access constant Character;
Uplo : access constant Character;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
Vl, Vu : Real := 0.0;
Il, Iu : Integer := 1;
Abs_Tol : Real := 0.0;
M : out Integer;
W : out Real_Vector;
Z : out Complex_Matrix;
Ld_Z : Positive;
I_Supp_Z : out Integer_Vector;
Work : out Complex_Vector;
L_Work : Integer;
R_Work : out Real_Vector;
LR_Work : Integer;
I_Work : out Integer_Vector;
LI_Work : Integer;
Info : access Integer)
is
begin
if Is_Single then
declare
type A_Ptr is
access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));
type W_Ptr is
access all BLAS.Real_Vector (W'Range);
type Z_Ptr is
access all BLAS.Complex_Matrix (Z'Range (1), Z'Range (2));
type Work_Ptr is access all BLAS.Complex_Vector (Work'Range);
type R_Work_Ptr is access all BLAS.Real_Vector (R_Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_W is new Unchecked_Conversion (Address, W_Ptr);
function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
function Conv_R_Work is
new Unchecked_Conversion (Address, R_Work_Ptr);
begin
cheevr (Job_Z, Rng, Uplo, N,
Conv_A (A'Address).all, Ld_A,
Fortran.Real (Vl), Fortran.Real (Vu),
Il, Iu, Fortran.Real (Abs_Tol), M,
Conv_W (W'Address).all,
Conv_Z (Z'Address).all, Ld_Z,
LAPACK.Integer_Vector (I_Supp_Z),
Conv_Work (Work'Address).all, L_Work,
Conv_R_Work (R_Work'Address).all, LR_Work,
LAPACK.Integer_Vector (I_Work), LI_Work, Info);
end;
elsif Is_Double then
declare
type A_Ptr is
access all BLAS.Double_Complex_Matrix (A'Range (1), A'Range (2));
type W_Ptr is
access all BLAS.Double_Precision_Vector (W'Range);
type Z_Ptr is
access all BLAS.Double_Complex_Matrix (Z'Range (1), Z'Range (2));
type Work_Ptr is
access all BLAS.Double_Complex_Vector (Work'Range);
type R_Work_Ptr is
access all BLAS.Double_Precision_Vector (R_Work'Range);
function Conv_A is new Unchecked_Conversion (Address, A_Ptr);
function Conv_W is new Unchecked_Conversion (Address, W_Ptr);
function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);
function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);
function Conv_R_Work is
new Unchecked_Conversion (Address, R_Work_Ptr);
begin
zheevr (Job_Z, Rng, Uplo, N,
Conv_A (A'Address).all, Ld_A,
Double_Precision (Vl), Double_Precision (Vu),
Il, Iu, Double_Precision (Abs_Tol), M,
Conv_W (W'Address).all,
Conv_Z (Z'Address).all, Ld_Z,
LAPACK.Integer_Vector (I_Supp_Z),
Conv_Work (Work'Address).all, L_Work,
Conv_R_Work (R_Work'Address).all, LR_Work,
LAPACK.Integer_Vector (I_Work), LI_Work, Info);
end;
else
declare
DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));
DP_W : Double_Precision_Vector (W'Range);
DP_Z : Double_Complex_Matrix (Z'Range (1), Z'Range (2));
DP_Work : Double_Complex_Vector (Work'Range);
DP_R_Work : Double_Precision_Vector (R_Work'Range);
begin
DP_A := To_Double_Complex (A);
zheevr (Job_Z, Rng, Uplo, N,
DP_A, Ld_A,
Double_Precision (Vl), Double_Precision (Vu),
Il, Iu, Double_Precision (Abs_Tol), M,
DP_W, DP_Z, Ld_Z,
LAPACK.Integer_Vector (I_Supp_Z),
DP_Work, L_Work,
DP_R_Work, LR_Work,
LAPACK.Integer_Vector (I_Work), LI_Work, Info);
A := To_Complex (DP_A);
W := To_Real (DP_W);
Z := To_Complex (DP_Z);
Work (1) := To_Complex (DP_Work (1));
R_Work (1) := To_Real (DP_R_Work (1));
end;
end if;
end heevr;
-----------
-- steqr --
-----------
procedure steqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Z : in out Complex_Matrix;
Ld_Z : Positive;
Work : out Real_Vector;
Info : access Integer)
is
begin
if Is_Single 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.Complex_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
csteqr (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 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_Complex_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
zsteqr (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_Complex_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_Complex (Z);
end if;
zsteqr (Comp_Z, N, DP_D, DP_E, DP_Z, Ld_Z, DP_Work, Info);
D := To_Real (DP_D);
E := To_Real (DP_E);
if Comp_Z.all /= 'N' then
Z := To_Complex (DP_Z);
end if;
end;
end if;
end steqr;
end System.Generic_Complex_LAPACK;
|
