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author | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
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committer | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
commit | 554fd8c5195424bdbcabf5de30fdc183aba391bd (patch) | |
tree | 976dc5ab7fddf506dadce60ae936f43f58787092 /gcc/ada/s-gecola.adb | |
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-rw-r--r-- | gcc/ada/s-gecola.adb | 493 |
1 files changed, 493 insertions, 0 deletions
diff --git a/gcc/ada/s-gecola.adb b/gcc/ada/s-gecola.adb new file mode 100644 index 000000000..ad69fee9b --- /dev/null +++ b/gcc/ada/s-gecola.adb @@ -0,0 +1,493 @@ +------------------------------------------------------------------------------ +-- -- +-- 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; |