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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;

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Subversion Repositories openrisc_2011-10-31

[/] [openrisc/] [trunk/] [gnu-src/] [gcc-4.5.1/] [gcc/] [ada/] [s-gecola.adb] - Blame information for rev 404

Line No.	Rev	Author	Line
1	281	jeremybenn	`------------------------------------------------------------------------------`
2			`-- --`
3			`-- GNAT RUN-TIME COMPONENTS --`
4			`-- --`
5			`-- 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 --`
6			`-- --`
7			`-- B o d y --`
8			`-- --`
9			`-- Copyright (C) 2006-2009, Free Software Foundation, Inc. --`
10			`-- --`
11			`-- GNAT is free software; you can redistribute it and/or modify it under --`
12			`-- terms of the GNU General Public License as published by the Free Soft- --`
13			`-- ware Foundation; either version 3, or (at your option) any later ver- --`
14			`-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --`
15			`-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --`
16			`-- or FITNESS FOR A PARTICULAR PURPOSE. --`
17			`-- --`
18			`-- As a special exception under Section 7 of GPL version 3, you are granted --`
19			`-- additional permissions described in the GCC Runtime Library Exception, --`
20			`-- version 3.1, as published by the Free Software Foundation. --`
21			`-- --`
22			`-- You should have received a copy of the GNU General Public License and --`
23			`-- a copy of the GCC Runtime Library Exception along with this program; --`
24			`-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --`
25			`-- <http://www.gnu.org/licenses/>. --`
26			`-- --`
27			`-- GNAT was originally developed by the GNAT team at New York University. --`
28			`-- Extensive contributions were provided by Ada Core Technologies Inc. --`
29			`-- --`
30			`------------------------------------------------------------------------------`
31
32			`with Ada.Unchecked_Conversion; use Ada;`
33			`with Interfaces; use Interfaces;`
34			`with Interfaces.Fortran; use Interfaces.Fortran;`
35			`with Interfaces.Fortran.BLAS; use Interfaces.Fortran.BLAS;`
36			`with Interfaces.Fortran.LAPACK; use Interfaces.Fortran.LAPACK;`
37			`with System.Generic_Array_Operations; use System.Generic_Array_Operations;`
38
39			`package body System.Generic_Complex_LAPACK is`
40
41			`Is_Single : constant Boolean :=`
42			`Real'Machine_Mantissa = Fortran.Real'Machine_Mantissa`
43			`and then Fortran.Real (Real'First) = Fortran.Real'First`
44			`and then Fortran.Real (Real'Last) = Fortran.Real'Last;`
45
46			`Is_Double : constant Boolean :=`
47			`Real'Machine_Mantissa = Double_Precision'Machine_Mantissa`
48			`and then`
49			`Double_Precision (Real'First) = Double_Precision'First`
50			`and then`
51			`Double_Precision (Real'Last) = Double_Precision'Last;`
52
53			`subtype Complex is Complex_Types.Complex;`
54
55			`-- Local subprograms`
56
57			`function To_Double_Precision (X : Real) return Double_Precision;`
58			`pragma Inline (To_Double_Precision);`
59
60			`function To_Real (X : Double_Precision) return Real;`
61			`pragma Inline (To_Real);`
62
63			`function To_Double_Complex (X : Complex) return Double_Complex;`
64			`pragma Inline (To_Double_Complex);`
65
66			`function To_Complex (X : Double_Complex) return Complex;`
67			`pragma Inline (To_Complex);`
68
69			`-- Instantiations`
70
71			`function To_Double_Precision is new`
72			`Vector_Elementwise_Operation`
73			`(X_Scalar => Real,`
74			`Result_Scalar => Double_Precision,`
75			`X_Vector => Real_Vector,`
76			`Result_Vector => Double_Precision_Vector,`
77			`Operation => To_Double_Precision);`
78
79			`function To_Real is new`
80			`Vector_Elementwise_Operation`
81			`(X_Scalar => Double_Precision,`
82			`Result_Scalar => Real,`
83			`X_Vector => Double_Precision_Vector,`
84			`Result_Vector => Real_Vector,`
85			`Operation => To_Real);`
86
87			`function To_Double_Complex is new`
88			`Matrix_Elementwise_Operation`
89			`(X_Scalar => Complex,`
90			`Result_Scalar => Double_Complex,`
91			`X_Matrix => Complex_Matrix,`
92			`Result_Matrix => Double_Complex_Matrix,`
93			`Operation => To_Double_Complex);`
94
95			`function To_Complex is new`
96			`Matrix_Elementwise_Operation`
97			`(X_Scalar => Double_Complex,`
98			`Result_Scalar => Complex,`
99			`X_Matrix => Double_Complex_Matrix,`
100			`Result_Matrix => Complex_Matrix,`
101			`Operation => To_Complex);`
102
103			`function To_Double_Precision (X : Real) return Double_Precision is`
104			`begin`
105			`return Double_Precision (X);`
106			`end To_Double_Precision;`
107
108			`function To_Real (X : Double_Precision) return Real is`
109			`begin`
110			`return Real (X);`
111			`end To_Real;`
112
113			`function To_Double_Complex (X : Complex) return Double_Complex is`
114			`begin`
115			`return (To_Double_Precision (X.Re), To_Double_Precision (X.Im));`
116			`end To_Double_Complex;`
117
118			`function To_Complex (X : Double_Complex) return Complex is`
119			`begin`
120			`return (Real (X.Re), Real (X.Im));`
121			`end To_Complex;`
122
123			`-----------`
124			`-- getrf --`
125			`-----------`
126
127			`procedure getrf`
128			`(M : Natural;`
129			`N : Natural;`
130			`A : in out Complex_Matrix;`
131			`Ld_A : Positive;`
132			`I_Piv : out Integer_Vector;`
133			`Info : access Integer)`
134			`is`
135			`begin`
136			`if Is_Single then`
137			`declare`
138			`type A_Ptr is`
139			`access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));`
140			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
141			`begin`
142			`cgetrf (M, N, Conv_A (A'Address).all, Ld_A,`
143			`LAPACK.Integer_Vector (I_Piv), Info);`
144			`end;`
145
146			`elsif Is_Double then`
147			`declare`
148			`type A_Ptr is`
149			`access all Double_Complex_Matrix (A'Range (1), A'Range (2));`
150			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
151			`begin`
152			`zgetrf (M, N, Conv_A (A'Address).all, Ld_A,`
153			`LAPACK.Integer_Vector (I_Piv), Info);`
154			`end;`
155
156			`else`
157			`declare`
158			`DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));`
159			`begin`
160			`DP_A := To_Double_Complex (A);`
161			`zgetrf (M, N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv), Info);`
162			`A := To_Complex (DP_A);`
163			`end;`
164			`end if;`
165			`end getrf;`
166
167			`-----------`
168			`-- getri --`
169			`-----------`
170
171			`procedure getri`
172			`(N : Natural;`
173			`A : in out Complex_Matrix;`
174			`Ld_A : Positive;`
175			`I_Piv : Integer_Vector;`
176			`Work : in out Complex_Vector;`
177			`L_Work : Integer;`
178			`Info : access Integer)`
179			`is`
180			`begin`
181			`if Is_Single then`
182			`declare`
183			`type A_Ptr is`
184			`access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));`
185			`type Work_Ptr is`
186			`access all BLAS.Complex_Vector (Work'Range);`
187			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
188			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
189			`begin`
190			`cgetri (N, Conv_A (A'Address).all, Ld_A,`
191			`LAPACK.Integer_Vector (I_Piv),`
192			`Conv_Work (Work'Address).all, L_Work,`
193			`Info);`
194			`end;`
195
196			`elsif Is_Double then`
197			`declare`
198			`type A_Ptr is`
199			`access all Double_Complex_Matrix (A'Range (1), A'Range (2));`
200			`type Work_Ptr is`
201			`access all Double_Complex_Vector (Work'Range);`
202			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
203			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
204			`begin`
205			`zgetri (N, Conv_A (A'Address).all, Ld_A,`
206			`LAPACK.Integer_Vector (I_Piv),`
207			`Conv_Work (Work'Address).all, L_Work,`
208			`Info);`
209			`end;`
210
211			`else`
212			`declare`
213			`DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));`
214			`DP_Work : Double_Complex_Vector (Work'Range);`
215			`begin`
216			`DP_A := To_Double_Complex (A);`
217			`zgetri (N, DP_A, Ld_A, LAPACK.Integer_Vector (I_Piv),`
218			`DP_Work, L_Work, Info);`
219			`A := To_Complex (DP_A);`
220			`Work (1) := To_Complex (DP_Work (1));`
221			`end;`
222			`end if;`
223			`end getri;`
224
225			`-----------`
226			`-- getrs --`
227			`-----------`
228
229			`procedure getrs`
230			`(Trans : access constant Character;`
231			`N : Natural;`
232			`N_Rhs : Natural;`
233			`A : Complex_Matrix;`
234			`Ld_A : Positive;`
235			`I_Piv : Integer_Vector;`
236			`B : in out Complex_Matrix;`
237			`Ld_B : Positive;`
238			`Info : access Integer)`
239			`is`
240			`begin`
241			`if Is_Single then`
242			`declare`
243			`subtype A_Type is BLAS.Complex_Matrix (A'Range (1), A'Range (2));`
244			`type B_Ptr is`
245			`access all BLAS.Complex_Matrix (B'Range (1), B'Range (2));`
246			`function Conv_A is`
247			`new Unchecked_Conversion (Complex_Matrix, A_Type);`
248			`function Conv_B is new Unchecked_Conversion (Address, B_Ptr);`
249			`begin`
250			`cgetrs (Trans, N, N_Rhs,`
251			`Conv_A (A), Ld_A,`
252			`LAPACK.Integer_Vector (I_Piv),`
253			`Conv_B (B'Address).all, Ld_B,`
254			`Info);`
255			`end;`
256
257			`elsif Is_Double then`
258			`declare`
259			`subtype A_Type is`
260			`Double_Complex_Matrix (A'Range (1), A'Range (2));`
261			`type B_Ptr is`
262			`access all Double_Complex_Matrix (B'Range (1), B'Range (2));`
263			`function Conv_A is`
264			`new Unchecked_Conversion (Complex_Matrix, A_Type);`
265			`function Conv_B is new Unchecked_Conversion (Address, B_Ptr);`
266			`begin`
267			`zgetrs (Trans, N, N_Rhs,`
268			`Conv_A (A), Ld_A,`
269			`LAPACK.Integer_Vector (I_Piv),`
270			`Conv_B (B'Address).all, Ld_B,`
271			`Info);`
272			`end;`
273
274			`else`
275			`declare`
276			`DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));`
277			`DP_B : Double_Complex_Matrix (B'Range (1), B'Range (2));`
278			`begin`
279			`DP_A := To_Double_Complex (A);`
280			`DP_B := To_Double_Complex (B);`
281			`zgetrs (Trans, N, N_Rhs,`
282			`DP_A, Ld_A,`
283			`LAPACK.Integer_Vector (I_Piv),`
284			`DP_B, Ld_B,`
285			`Info);`
286			`B := To_Complex (DP_B);`
287			`end;`
288			`end if;`
289			`end getrs;`
290
291			`procedure heevr`
292			`(Job_Z : access constant Character;`
293			`Rng : access constant Character;`
294			`Uplo : access constant Character;`
295			`N : Natural;`
296			`A : in out Complex_Matrix;`
297			`Ld_A : Positive;`
298			`Vl, Vu : Real := 0.0;`
299			`Il, Iu : Integer := 1;`
300			`Abs_Tol : Real := 0.0;`
301			`M : out Integer;`
302			`W : out Real_Vector;`
303			`Z : out Complex_Matrix;`
304			`Ld_Z : Positive;`
305			`I_Supp_Z : out Integer_Vector;`
306			`Work : out Complex_Vector;`
307			`L_Work : Integer;`
308			`R_Work : out Real_Vector;`
309			`LR_Work : Integer;`
310			`I_Work : out Integer_Vector;`
311			`LI_Work : Integer;`
312			`Info : access Integer)`
313			`is`
314			`begin`
315			`if Is_Single then`
316			`declare`
317			`type A_Ptr is`
318			`access all BLAS.Complex_Matrix (A'Range (1), A'Range (2));`
319			`type W_Ptr is`
320			`access all BLAS.Real_Vector (W'Range);`
321			`type Z_Ptr is`
322			`access all BLAS.Complex_Matrix (Z'Range (1), Z'Range (2));`
323			`type Work_Ptr is access all BLAS.Complex_Vector (Work'Range);`
324			`type R_Work_Ptr is access all BLAS.Real_Vector (R_Work'Range);`
325
326			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
327			`function Conv_W is new Unchecked_Conversion (Address, W_Ptr);`
328			`function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);`
329			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
330			`function Conv_R_Work is`
331			`new Unchecked_Conversion (Address, R_Work_Ptr);`
332			`begin`
333			`cheevr (Job_Z, Rng, Uplo, N,`
334			`Conv_A (A'Address).all, Ld_A,`
335			`Fortran.Real (Vl), Fortran.Real (Vu),`
336			`Il, Iu, Fortran.Real (Abs_Tol), M,`
337			`Conv_W (W'Address).all,`
338			`Conv_Z (Z'Address).all, Ld_Z,`
339			`LAPACK.Integer_Vector (I_Supp_Z),`
340			`Conv_Work (Work'Address).all, L_Work,`
341			`Conv_R_Work (R_Work'Address).all, LR_Work,`
342			`LAPACK.Integer_Vector (I_Work), LI_Work, Info);`
343			`end;`
344
345			`elsif Is_Double then`
346			`declare`
347			`type A_Ptr is`
348			`access all BLAS.Double_Complex_Matrix (A'Range (1), A'Range (2));`
349			`type W_Ptr is`
350			`access all BLAS.Double_Precision_Vector (W'Range);`
351			`type Z_Ptr is`
352			`access all BLAS.Double_Complex_Matrix (Z'Range (1), Z'Range (2));`
353			`type Work_Ptr is`
354			`access all BLAS.Double_Complex_Vector (Work'Range);`
355			`type R_Work_Ptr is`
356			`access all BLAS.Double_Precision_Vector (R_Work'Range);`
357
358			`function Conv_A is new Unchecked_Conversion (Address, A_Ptr);`
359			`function Conv_W is new Unchecked_Conversion (Address, W_Ptr);`
360			`function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);`
361			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
362			`function Conv_R_Work is`
363			`new Unchecked_Conversion (Address, R_Work_Ptr);`
364			`begin`
365			`zheevr (Job_Z, Rng, Uplo, N,`
366			`Conv_A (A'Address).all, Ld_A,`
367			`Double_Precision (Vl), Double_Precision (Vu),`
368			`Il, Iu, Double_Precision (Abs_Tol), M,`
369			`Conv_W (W'Address).all,`
370			`Conv_Z (Z'Address).all, Ld_Z,`
371			`LAPACK.Integer_Vector (I_Supp_Z),`
372			`Conv_Work (Work'Address).all, L_Work,`
373			`Conv_R_Work (R_Work'Address).all, LR_Work,`
374			`LAPACK.Integer_Vector (I_Work), LI_Work, Info);`
375			`end;`
376
377			`else`
378			`declare`
379			`DP_A : Double_Complex_Matrix (A'Range (1), A'Range (2));`
380			`DP_W : Double_Precision_Vector (W'Range);`
381			`DP_Z : Double_Complex_Matrix (Z'Range (1), Z'Range (2));`
382			`DP_Work : Double_Complex_Vector (Work'Range);`
383			`DP_R_Work : Double_Precision_Vector (R_Work'Range);`
384
385			`begin`
386			`DP_A := To_Double_Complex (A);`
387
388			`zheevr (Job_Z, Rng, Uplo, N,`
389			`DP_A, Ld_A,`
390			`Double_Precision (Vl), Double_Precision (Vu),`
391			`Il, Iu, Double_Precision (Abs_Tol), M,`
392			`DP_W, DP_Z, Ld_Z,`
393			`LAPACK.Integer_Vector (I_Supp_Z),`
394			`DP_Work, L_Work,`
395			`DP_R_Work, LR_Work,`
396			`LAPACK.Integer_Vector (I_Work), LI_Work, Info);`
397
398			`A := To_Complex (DP_A);`
399			`W := To_Real (DP_W);`
400			`Z := To_Complex (DP_Z);`
401
402			`Work (1) := To_Complex (DP_Work (1));`
403			`R_Work (1) := To_Real (DP_R_Work (1));`
404			`end;`
405			`end if;`
406			`end heevr;`
407
408			`-----------`
409			`-- steqr --`
410			`-----------`
411
412			`procedure steqr`
413			`(Comp_Z : access constant Character;`
414			`N : Natural;`
415			`D : in out Real_Vector;`
416			`E : in out Real_Vector;`
417			`Z : in out Complex_Matrix;`
418			`Ld_Z : Positive;`
419			`Work : out Real_Vector;`
420			`Info : access Integer)`
421			`is`
422			`begin`
423			`if Is_Single then`
424			`declare`
425			`type D_Ptr is access all BLAS.Real_Vector (D'Range);`
426			`type E_Ptr is access all BLAS.Real_Vector (E'Range);`
427			`type Z_Ptr is`
428			`access all BLAS.Complex_Matrix (Z'Range (1), Z'Range (2));`
429			`type Work_Ptr is`
430			`access all BLAS.Real_Vector (Work'Range);`
431			`function Conv_D is new Unchecked_Conversion (Address, D_Ptr);`
432			`function Conv_E is new Unchecked_Conversion (Address, E_Ptr);`
433			`function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);`
434			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
435			`begin`
436			`csteqr (Comp_Z, N,`
437			`Conv_D (D'Address).all,`
438			`Conv_E (E'Address).all,`
439			`Conv_Z (Z'Address).all,`
440			`Ld_Z,`
441			`Conv_Work (Work'Address).all,`
442			`Info);`
443			`end;`
444
445			`elsif Is_Double then`
446			`declare`
447			`type D_Ptr is access all Double_Precision_Vector (D'Range);`
448			`type E_Ptr is access all Double_Precision_Vector (E'Range);`
449			`type Z_Ptr is`
450			`access all Double_Complex_Matrix (Z'Range (1), Z'Range (2));`
451			`type Work_Ptr is`
452			`access all Double_Precision_Vector (Work'Range);`
453			`function Conv_D is new Unchecked_Conversion (Address, D_Ptr);`
454			`function Conv_E is new Unchecked_Conversion (Address, E_Ptr);`
455			`function Conv_Z is new Unchecked_Conversion (Address, Z_Ptr);`
456			`function Conv_Work is new Unchecked_Conversion (Address, Work_Ptr);`
457			`begin`
458			`zsteqr (Comp_Z, N,`
459			`Conv_D (D'Address).all,`
460			`Conv_E (E'Address).all,`
461			`Conv_Z (Z'Address).all,`
462			`Ld_Z,`
463			`Conv_Work (Work'Address).all,`
464			`Info);`
465			`end;`
466
467			`else`
468			`declare`
469			`DP_D : Double_Precision_Vector (D'Range);`
470			`DP_E : Double_Precision_Vector (E'Range);`
471			`DP_Z : Double_Complex_Matrix (Z'Range (1), Z'Range (2));`
472			`DP_Work : Double_Precision_Vector (Work'Range);`
473			`begin`
474			`DP_D := To_Double_Precision (D);`
475			`DP_E := To_Double_Precision (E);`
476
477			`if Comp_Z.all = 'V' then`
478			`DP_Z := To_Double_Complex (Z);`
479			`end if;`
480
481			`zsteqr (Comp_Z, N, DP_D, DP_E, DP_Z, Ld_Z, DP_Work, Info);`
482
483			`D := To_Real (DP_D);`
484			`E := To_Real (DP_E);`
485
486			`if Comp_Z.all /= 'N' then`
487			`Z := To_Complex (DP_Z);`
488			`end if;`
489			`end;`
490			`end if;`
491			`end steqr;`
492
493			`end System.Generic_Complex_LAPACK;`