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-------------------------------------------------------------------------------
--- --
--- GNAT RUN-TIME COMPONENTS --
--- --
--- S Y S T E M . G E N E R I C _ R E A L _ 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_Real_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;
-
- -- 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;
-
- ---------
- -- dot --
- ---------
-
- function dot
- (N : Positive;
- X : Real_Vector;
- Inc_X : Integer := 1;
- Y : Real_Vector;
- Inc_Y : Integer := 1) return Real
- is
- begin
- if Is_Single then
- declare
- type X_Ptr is access all BLAS.Real_Vector (X'Range);
- type Y_Ptr is access all BLAS.Real_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 Real (sdot (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_Precision_Vector (X'Range);
- type Y_Ptr is access all BLAS.Double_Precision_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 Real (ddot (N, Conv_X (X'Address).all, Inc_X,
- Conv_Y (Y'Address).all, Inc_Y));
- end;
-
- else
- return Real (ddot (N, To_Double_Precision (X), Inc_X,
- To_Double_Precision (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 : Real := 1.0;
- A : Real_Matrix;
- Ld_A : Integer;
- B : Real_Matrix;
- Ld_B : Integer;
- Beta : Real := 0.0;
- C : in out Real_Matrix;
- Ld_C : Integer)
- is
- begin
- if Is_Single then
- declare
- subtype A_Type is BLAS.Real_Matrix (A'Range (1), A'Range (2));
- subtype B_Type is BLAS.Real_Matrix (B'Range (1), B'Range (2));
- type C_Ptr is
- access all BLAS.Real_Matrix (C'Range (1), C'Range (2));
- function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
- function Conv_B is new Unchecked_Conversion (Real_Matrix, B_Type);
- function Conv_C is new Unchecked_Conversion (Address, C_Ptr);
- begin
- sgemm (Trans_A, Trans_B, M, N, K, Fortran.Real (Alpha),
- Conv_A (A), Ld_A, Conv_B (B), Ld_B, Fortran.Real (Beta),
- Conv_C (C'Address).all, Ld_C);
- end;
-
- elsif Is_Double then
- declare
- subtype A_Type is
- Double_Precision_Matrix (A'Range (1), A'Range (2));
- subtype B_Type is
- Double_Precision_Matrix (B'Range (1), B'Range (2));
- type C_Ptr is
- access all Double_Precision_Matrix (C'Range (1), C'Range (2));
- function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
- function Conv_B is new Unchecked_Conversion (Real_Matrix, B_Type);
- function Conv_C is new Unchecked_Conversion (Address, C_Ptr);
- begin
- dgemm (Trans_A, Trans_B, M, N, K, Double_Precision (Alpha),
- Conv_A (A), Ld_A, Conv_B (B), Ld_B, Double_Precision (Beta),
- Conv_C (C'Address).all, Ld_C);
- end;
-
- else
- declare
- DP_C : Double_Precision_Matrix (C'Range (1), C'Range (2));
- begin
- if Beta /= 0.0 then
- DP_C := To_Double_Precision (C);
- end if;
-
- dgemm (Trans_A, Trans_B, M, N, K, Double_Precision (Alpha),
- To_Double_Precision (A), Ld_A,
- To_Double_Precision (B), Ld_B, Double_Precision (Beta),
- DP_C, Ld_C);
-
- C := To_Real (DP_C);
- end;
- end if;
- end gemm;
-
- ----------
- -- gemv --
- ----------
-
- procedure gemv
- (Trans : access constant Character;
- M : Natural := 0;
- N : Natural := 0;
- Alpha : Real := 1.0;
- A : Real_Matrix;
- Ld_A : Positive;
- X : Real_Vector;
- Inc_X : Integer := 1;
- Beta : Real := 0.0;
- Y : in out Real_Vector;
- Inc_Y : Integer := 1)
- is
- begin
- if Is_Single then
- declare
- subtype A_Type is BLAS.Real_Matrix (A'Range (1), A'Range (2));
- subtype X_Type is BLAS.Real_Vector (X'Range);
- type Y_Ptr is access all BLAS.Real_Vector (Y'Range);
- function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
- function Conv_X is new Unchecked_Conversion (Real_Vector, X_Type);
- function Conv_Y is new Unchecked_Conversion (Address, Y_Ptr);
- begin
- sgemv (Trans, M, N, Fortran.Real (Alpha),
- Conv_A (A), Ld_A, Conv_X (X), Inc_X, Fortran.Real (Beta),
- Conv_Y (Y'Address).all, Inc_Y);
- end;
-
- elsif Is_Double then
- declare
- subtype A_Type is
- Double_Precision_Matrix (A'Range (1), A'Range (2));
- subtype X_Type is Double_Precision_Vector (X'Range);
- type Y_Ptr is access all Double_Precision_Vector (Y'Range);
- function Conv_A is new Unchecked_Conversion (Real_Matrix, A_Type);
- function Conv_X is new Unchecked_Conversion (Real_Vector, X_Type);
- function Conv_Y is new Unchecked_Conversion (Address, Y_Ptr);
- begin
- dgemv (Trans, M, N, Double_Precision (Alpha),
- Conv_A (A), Ld_A, Conv_X (X), Inc_X,
- Double_Precision (Beta),
- Conv_Y (Y'Address).all, Inc_Y);
- end;
-
- else
- declare
- DP_Y : Double_Precision_Vector (Y'Range);
- begin
- if Beta /= 0.0 then
- DP_Y := To_Double_Precision (Y);
- end if;
-
- dgemv (Trans, M, N, Double_Precision (Alpha),
- To_Double_Precision (A), Ld_A,
- To_Double_Precision (X), Inc_X, Double_Precision (Beta),
- DP_Y, Inc_Y);
-
- Y := To_Real (DP_Y);
- end;
- end if;
- end gemv;
-
- ----------
- -- nrm2 --
- ----------
-
- function nrm2
- (N : Natural;
- X : Real_Vector;
- Inc_X : Integer := 1) return Real
- is
- begin
- if Is_Single then
- declare
- subtype X_Type is BLAS.Real_Vector (X'Range);
- function Conv_X is new Unchecked_Conversion (Real_Vector, X_Type);
- begin
- return Real (snrm2 (N, Conv_X (X), Inc_X));
- end;
-
- elsif Is_Double then
- declare
- subtype X_Type is Double_Precision_Vector (X'Range);
- function Conv_X is new Unchecked_Conversion (Real_Vector, X_Type);
- begin
- return Real (dnrm2 (N, Conv_X (X), Inc_X));
- end;
-
- else
- return Real (dnrm2 (N, To_Double_Precision (X), Inc_X));
- end if;
- end nrm2;
-
-end System.Generic_Real_BLAS;
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