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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;