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source: branches/HeuristicLab.Problems.GaussianProcessTuning/ILNumerics.2.14.4735.573/Native/lapack/ILLapackManaged.cs @ 11219

Last change on this file since 11219 was 9102, checked in by gkronber, 12 years ago

#1967: ILNumerics source for experimentation

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1///
2///    This file is part of ILNumerics Community Edition.
3///
4///    ILNumerics Community Edition - high performance computing for applications.
5///    Copyright (C) 2006 - 2012 Haymo Kutschbach, http://ilnumerics.net
6///
7///    ILNumerics Community Edition is free software: you can redistribute it and/or modify
8///    it under the terms of the GNU General Public License version 3 as published by
9///    the Free Software Foundation.
10///
11///    ILNumerics Community Edition is distributed in the hope that it will be useful,
12///    but WITHOUT ANY WARRANTY; without even the implied warranty of
13///    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14///    GNU General Public License for more details.
15///
16///    You should have received a copy of the GNU General Public License
17///    along with ILNumerics Community Edition. See the file License.txt in the root
18///    of your distribution package. If not, see <http://www.gnu.org/licenses/>.
19///
20///    In addition this software uses the following components and/or licenses:
21///
22///    =================================================================================
23///    The Open Toolkit Library License
24///   
25///    Copyright (c) 2006 - 2009 the Open Toolkit library.
26///   
27///    Permission is hereby granted, free of charge, to any person obtaining a copy
28///    of this software and associated documentation files (the "Software"), to deal
29///    in the Software without restriction, including without limitation the rights to
30///    use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
31///    the Software, and to permit persons to whom the Software is furnished to do
32///    so, subject to the following conditions:
33///
34///    The above copyright notice and this permission notice shall be included in all
35///    copies or substantial portions of the Software.
36///
37///    =================================================================================
38///   
39
40#pragma warning disable 1591
41
42using System;
43using System.Collections.Generic;
44using System.Text;
45using ILNumerics.Native;
46using System.Runtime.InteropServices;
47using ILNumerics.Exceptions;
48using System.Security;
49using ILNumerics.Misc;
50
51namespace ILNumerics.Native  {
52    /// <summary>
53    /// Generic LAPACK implementation, unsupported processor types
54    /// </summary>
55  public unsafe class ILLapackManaged : IILLapack {
56
57        #region DLL INCLUDES
58        [DllImport("lapack_gen", EntryPoint = "ilaenv"),SuppressUnmanagedCodeSecurity]
59        private static extern int lapack_ilaenv(ref int ispec, ref string name, ref string opts, ref int n1, ref int n2, ref int n3, ref int n4);
60
61        ///////////////////////////   DOUBLE LAPACK /////////////////////////////////
62        [DllImport("lapack_gen", EntryPoint = "dgemm"),SuppressUnmanagedCodeSecurity]
63        private static extern void lapack_dgemm(ref char TransA, ref char TransB, ref int M,ref int N, ref int K, ref  double alpha, IntPtr A, ref int lda, IntPtr B, ref int ldb, ref double beta, double[] C, ref int ldc);
64        [DllImport("lapack_gen", EntryPoint = "sgemm"),SuppressUnmanagedCodeSecurity]
65    private static extern void lapack_sgemm(ref char TransA, ref char TransB, ref int M,ref int N, ref int K, ref float alpha, IntPtr A,ref int lda, IntPtr B, ref int ldb, ref float beta,float[] C, ref int ldc);
66        [DllImport("lapack_gen", EntryPoint = "cgemm"),SuppressUnmanagedCodeSecurity]
67    private static extern void lapack_cgemm(ref char TransA, ref char TransB, ref int M,ref int N, ref int K, ref fcomplex alpha, IntPtr A, ref int lda, IntPtr B, ref int ldb, ref fcomplex beta,[In,Out] fcomplex [] C, ref int ldc);
68        [DllImport("lapack_gen", EntryPoint = "zgemm"),SuppressUnmanagedCodeSecurity]
69    private static extern void lapack_zgemm(ref char TransA, ref char TransB, ref int M, ref int N, ref int K, ref complex alpha, IntPtr A, ref int lda, IntPtr B, ref int ldb, ref complex beta,[In,Out] complex [] C, ref int ldc);
70
71        [DllImport("lapack_gen", EntryPoint = "dgesdd"),SuppressUnmanagedCodeSecurity]
72    private static extern void lapack_dgesdd(ref char jobz, ref int m, ref int n,double[] a, ref int lda, double[] s,double[] u, ref int ldu, double[] vt,ref int ldvt, double[] work, ref int lwork,int[] iwork, ref int info);
73        [DllImport("lapack_gen", EntryPoint = "sgesdd"),SuppressUnmanagedCodeSecurity]
74    private static extern void lapack_sgesdd(ref char jobz, ref int m, ref int n,float[] a, ref int lda, float[] s,float[] u, ref int ldu, float[] vt, ref int ldvt, float[] work, ref int lwork,int[] iwork, ref int info);
75        [DllImport("lapack_gen", EntryPoint = "cgesdd"),SuppressUnmanagedCodeSecurity]
76    private static extern void lapack_cgesdd(ref char jobz, ref int m, ref int n,[In, Out] fcomplex[] a, ref int lda, float[] s,[In, Out] fcomplex[] u, ref int ldu, [In, Out]  fcomplex[] vt, ref int ldvt, [In, Out] fcomplex[] work, ref int lwork,[In,Out] float[] rwork, int[] iwork, ref int info);
77        [DllImport("lapack_gen", EntryPoint = "zgesdd"),SuppressUnmanagedCodeSecurity]
78    private static extern void lapack_zgesdd(ref char jobz, ref int m, ref int n,[In, Out] complex[] a, ref int lda, double[] s,[In, Out] complex[] u, ref int ldu, [In, Out] complex[] vt,ref int ldvt, [In, Out] complex[] work, ref int lwork,[In,Out] double[] rwork, int[] iwork, ref int info);
79
80        [DllImport("lapack_gen", EntryPoint = "dgesvd"),SuppressUnmanagedCodeSecurity]
81    private static extern void lapack_dgesvd(ref char jobu, ref  char jobvt, ref int m, ref int n,double[] a, ref int lda, double[] s,double[] u, ref int ldu, double[] vt,ref int ldvt, double[] work, ref int lwork,int[] iwork,ref int info);
82        [DllImport("lapack_gen", EntryPoint = "sgesvd"),SuppressUnmanagedCodeSecurity]
83    private static extern void lapack_sgesvd(ref char jobu, ref  char jobvt, ref int m, ref int n, float[] a, ref int lda, float[] s,float[] u, ref int ldu, float[] vt,ref int ldvt, float[] work, ref int lwork,int[] iwork, ref int info);
84        [DllImport("lapack_gen", EntryPoint = "cgesvd"),SuppressUnmanagedCodeSecurity]
85    private static extern void lapack_cgesvd(ref char jobu, ref  char jobvt, ref int m, ref int n,[In, Out] fcomplex[] a, ref int lda, float[] s,[In, Out] fcomplex[] u, ref int ldu,[In,Out] fcomplex[] vt,ref int ldvt, [In, Out]  fcomplex[] work, ref int lwork,int[] iwork,ref int info);
86        [DllImport("lapack_gen", EntryPoint = "zgesvd"),SuppressUnmanagedCodeSecurity]
87    private static extern void lapack_zgesvd(ref char jobu, ref  char jobvt, ref int m, ref int n,[In, Out] complex[] a, ref int lda, double[] s,[In, Out] complex[] u, ref int ldu, [In, Out] complex[] vt,ref int ldvt, [In, Out]  complex[] work, ref int lwork,int[] iwork,ref int info);
88
89        [DllImport("lapack_gen", EntryPoint = "dpotrf"),SuppressUnmanagedCodeSecurity]
90        private static extern void lapack_dpotrf (ref char uplo, ref int n, double [] A, ref int lda, ref int info);
91        [DllImport("lapack_gen", EntryPoint = "spotrf"),SuppressUnmanagedCodeSecurity]
92        private static extern void lapack_spotrf (ref char uplo, ref int n, float [] A, ref int lda, ref int info);
93        [DllImport("lapack_gen", EntryPoint = "cpotrf"),SuppressUnmanagedCodeSecurity]
94        private static extern void lapack_cpotrf (ref char uplo, ref int n,[In,Out] fcomplex [] A, ref int lda, ref int info);
95        [DllImport("lapack_gen", EntryPoint = "zpotrf"),SuppressUnmanagedCodeSecurity]
96        private static extern void lapack_zpotrf (ref char uplo, ref int n, [In,Out] complex [] A, ref int lda, ref int info);
97       
98        [DllImport("lapack_gen", EntryPoint = "dpotri"),SuppressUnmanagedCodeSecurity]
99        private static extern void lapack_dpotri (ref char uplo,ref  int n, double [] A, ref int lda, ref int info);
100        [DllImport("lapack_gen", EntryPoint = "spotri"),SuppressUnmanagedCodeSecurity]
101        private static extern void lapack_spotri (ref char uplo, ref int n, float [] A, ref int lda, ref int info);
102        [DllImport("lapack_gen", EntryPoint = "cpotri"),SuppressUnmanagedCodeSecurity]
103        private static extern void lapack_cpotri (ref char uplo, ref int n,[In,Out] fcomplex [] A, ref int lda,ref int info);
104        [DllImport("lapack_gen", EntryPoint = "zpotri"),SuppressUnmanagedCodeSecurity]
105        private static extern void lapack_zpotri (ref char uplo, ref int n, [In,Out] complex [] A, ref int lda,ref int info);
106
107        [DllImport("lapack_gen", EntryPoint = "dpotrs"),SuppressUnmanagedCodeSecurity]
108        private static extern void lapack_dpotrs (ref char uplo,ref  int n, ref int NRHS, double [] A, ref int lda, double[] B, ref int ldb, ref int info);
109        [DllImport("lapack_gen", EntryPoint = "spotrs"),SuppressUnmanagedCodeSecurity]
110        private static extern void lapack_spotrs (ref char uplo,ref  int n, ref int NRHS, float [] A, ref int lda, float[] B, ref int ldb, ref int info);
111        [DllImport("lapack_gen", EntryPoint = "cpotrs"),SuppressUnmanagedCodeSecurity]
112        private static extern void lapack_cpotrs (ref char uplo,ref  int n, ref int NRHS, [In,Out] fcomplex [] A, ref int lda, [In,Out] fcomplex[] B, ref int ldb, ref int info);
113        [DllImport("lapack_gen", EntryPoint = "zpotrs"),SuppressUnmanagedCodeSecurity]
114        private static extern void lapack_zpotrs (ref char uplo,ref  int n, ref int NRHS, [In,Out] complex [] A, ref int lda, [In,Out] complex[] B, ref int ldb, ref int info);
115
116        [DllImport("lapack_gen", EntryPoint = "dgetrf"),SuppressUnmanagedCodeSecurity]
117        private static extern void lapack_dgetrf (ref int M, ref int N, double [] A, ref int LDA, int[] IPIV, ref int info);
118        [DllImport("lapack_gen", EntryPoint = "sgetrf"),SuppressUnmanagedCodeSecurity]
119        private static extern void lapack_sgetrf (ref int M, ref int N, float[] A, ref int LDA, int [] IPIV, ref int info);
120        [DllImport("lapack_gen", EntryPoint = "cgetrf"),SuppressUnmanagedCodeSecurity]
121        private static extern void lapack_cgetrf (ref int M, ref int N, [In,Out] fcomplex [] A, ref int LDA, int [] IPIV, ref int info);
122        [DllImport("lapack_gen", EntryPoint = "zgetrf"),SuppressUnmanagedCodeSecurity]
123        private static extern void lapack_zgetrf (ref int M, ref int N, [In,Out] complex [] A, ref int LDA, int [] IPIV, ref int info);
124
125        [DllImport("lapack_gen", EntryPoint = "dgetri"),SuppressUnmanagedCodeSecurity]
126        private static extern void lapack_dgetri (ref int N, double[] A,ref  int LDA, int[] IPIV, double[] work, ref int lwork, ref int info);
127        [DllImport("lapack_gen", EntryPoint = "sgetri"),SuppressUnmanagedCodeSecurity]
128        private static extern void lapack_sgetri (ref int N, float [] A, ref int LDA, int [] IPIV, float[] work, ref int lwork, ref int info);
129        [DllImport("lapack_gen", EntryPoint = "cgetri"),SuppressUnmanagedCodeSecurity]
130        private static extern void lapack_cgetri (ref int N, [In,Out] fcomplex [] A, ref int LDA,[In,Out] int [] IPIV, [In,Out] fcomplex[] work, ref int lwork, ref int info);
131        [DllImport("lapack_gen", EntryPoint = "zgetri"),SuppressUnmanagedCodeSecurity]
132        private static extern void lapack_zgetri (ref int N, [In,Out] complex [] A, ref int LDA, int [] IPIV, [In,Out] complex[] work, ref int lwork, ref int info);
133
134        [DllImport("lapack_gen", EntryPoint = "dgeqrf"),SuppressUnmanagedCodeSecurity]
135        private static extern void lapack_dgeqrf (ref int M, ref int N, double [] A, ref int lda, double [] tau, double[] work, ref int lwork, ref int info);
136        [DllImport("lapack_gen", EntryPoint = "sgeqrf"),SuppressUnmanagedCodeSecurity]
137        private static extern void lapack_sgeqrf (ref int M, ref int N, float [] A, ref int lda, float [] tau, float[] work, ref int lwork,  ref int info);
138        [DllImport("lapack_gen", EntryPoint = "cgeqrf"),SuppressUnmanagedCodeSecurity]
139        private static extern void lapack_cgeqrf (ref int M, ref int N, [In,Out] fcomplex [] A, ref int lda, [In,Out] fcomplex [] tau, [In,Out] fcomplex[] work, ref int lwork, ref int info);
140        [DllImport("lapack_gen", EntryPoint = "zgeqrf"),SuppressUnmanagedCodeSecurity]
141        private static extern void lapack_zgeqrf (ref int M, ref int N, [In,Out] complex [] A, ref int lda, [In,Out] complex [] tau, [In,Out] complex[] work, ref int lwork,  ref int info);
142
143        [DllImport("lapack_gen", EntryPoint = "dgeqp3"),SuppressUnmanagedCodeSecurity]
144        private static extern void lapack_dgeqp3 (ref int M, ref int N, double [] A, ref int LDA, int [] JPVT, double [] tau, double [] work, ref int lwork, ref int info );
145        [DllImport("lapack_gen", EntryPoint = "sgeqp3"),SuppressUnmanagedCodeSecurity]
146        private static extern void lapack_sgeqp3 (ref int M, ref int N, float [] A, ref int LDA, int [] JPVT, float [] tau, float [] work, ref int lwork, ref int info );
147        [DllImport("lapack_gen", EntryPoint = "cgeqp3"),SuppressUnmanagedCodeSecurity]
148        private static extern void lapack_cgeqp3 (ref int M, ref int N,[In,Out] fcomplex [] A, ref int LDA,[In,Out] int [] JPVT, [In,Out] fcomplex [] tau, [In,Out] fcomplex [] work, ref int lwork,[In,Out] float [] rwork, ref int info );
149        [DllImport("lapack_gen", EntryPoint = "zgeqp3"),SuppressUnmanagedCodeSecurity]
150        private static extern void lapack_zgeqp3 (ref int M, ref int N, [In,Out] complex [] A, ref int LDA, [In,Out] int [] JPVT, [In,Out] complex [] tau, [In,Out] complex [] work, ref int lwork, [In,Out] double [] rwork, ref int info );
151
152        [DllImport("lapack_gen", EntryPoint = "dormqr"),SuppressUnmanagedCodeSecurity]
153        private static extern void lapack_dormqr (ref char side, ref char trans, ref int m, ref int n, ref int k, double[] A, int lda, double[] tau, double[] C, ref int ldc, ref int info);
154        [DllImport("lapack_gen", EntryPoint = "sormqr"),SuppressUnmanagedCodeSecurity]
155        private static extern void lapack_sormqr (ref char side, ref char trans, ref int m, ref int n, ref int k, float [] A, ref int lda, float [] tau , float [] C, ref int ldc, ref int info);
156       
157        [DllImport("lapack_gen", EntryPoint = "dorgqr"),SuppressUnmanagedCodeSecurity]
158        private static extern void lapack_dorgqr (ref int m, ref int n, ref int k, double[] A,ref int lda, double[] tau, double[] work, ref int lwork, ref int info);
159        [DllImport("lapack_gen", EntryPoint = "sorgqr"),SuppressUnmanagedCodeSecurity]
160        private static extern void lapack_sorgqr (ref int m, ref int n, ref int k, float [] A, ref int lda, float [] tau , float[] work, ref int lwork,  ref int info);
161        [DllImport("lapack_gen", EntryPoint = "cungqr"),SuppressUnmanagedCodeSecurity]
162        private static extern void lapack_cungqr (ref int m, ref int n, ref int k, [In,Out] fcomplex[] A,ref int lda, [In,Out] fcomplex[] tau, [In,Out] fcomplex[] work, ref int lwork, ref int info);
163        [DllImport("lapack_gen", EntryPoint = "zungqr"),SuppressUnmanagedCodeSecurity]
164        private static extern void lapack_zungqr (ref int m, ref int n, ref int k, [In,Out] complex[] A,ref int lda, [In,Out] complex[] tau, [In,Out] complex[] work, ref int lwork, ref int info);
165       
166        [DllImport("lapack_gen", EntryPoint = "dtrtrs"),SuppressUnmanagedCodeSecurity]
167        private static extern void lapack_dtrtrs (ref char uplo, ref char transA, ref char diag, ref int N, ref int nrhs, IntPtr A, ref int LDA, IntPtr B, ref int LDB, ref int info);
168        [DllImport("lapack_gen", EntryPoint = "strtrs"),SuppressUnmanagedCodeSecurity]
169        private static extern void lapack_strtrs (ref char uplo, ref char transA, ref char diag, ref int N, ref int nrhs, IntPtr A, ref int LDA, IntPtr B, ref int LDB, ref int info);
170        [DllImport("lapack_gen", EntryPoint = "ctrtrs"),SuppressUnmanagedCodeSecurity]
171        private static extern void lapack_ctrtrs (ref char uplo, ref char transA, ref char diag, ref int N, ref int nrhs, IntPtr A, ref int LDA, IntPtr B, ref int LDB, ref int info);
172        [DllImport("lapack_gen", EntryPoint = "ztrtrs"),SuppressUnmanagedCodeSecurity]
173        private static extern void lapack_ztrtrs (ref char uplo, ref char transA, ref char diag, ref int N, ref int nrhs, IntPtr A, ref int LDA, IntPtr B, ref int LDB, ref int info);
174       
175        [DllImport("lapack_gen", EntryPoint = "dgetrs"),SuppressUnmanagedCodeSecurity]
176        private static extern void lapack_dgetrs(ref char trans, ref int N, ref int NRHS, double[] A, ref int LDA, int[] IPIV, double[] B, ref int LDB, ref int info);
177        [DllImport("lapack_gen", EntryPoint = "sgetrs"),SuppressUnmanagedCodeSecurity]
178        private static extern void lapack_sgetrs(ref char trans, ref int N, ref int NRHS, float[] A, ref int LDA, int[] IPIV, float[] B, ref int LDB, ref int info);
179        [DllImport("lapack_gen", EntryPoint = "cgetrs"),SuppressUnmanagedCodeSecurity]
180        private static extern void lapack_cgetrs(ref char trans, ref int N, ref int NRHS, [In,Out] fcomplex[] A, ref int LDA, int[] IPIV, [In,Out] fcomplex[] B, ref int LDB, ref int info);
181        [DllImport("lapack_gen", EntryPoint = "zgetrs"),SuppressUnmanagedCodeSecurity]
182        private static extern void lapack_zgetrs(ref char trans, ref int N, ref int NRHS, [In,Out] complex[] A, ref int LDA, int[] IPIV, [In,Out] complex[] B, ref int LDB, ref int info);
183
184        [DllImport("lapack_gen", EntryPoint = "dgelsd"),SuppressUnmanagedCodeSecurity]
185        private static extern void lapack_dgelsd (ref int m,ref int n,ref int nrhs, double[] A,ref int lda, double[] B,ref int ldb, double[] S, ref double RCond, ref int rank, double[] work,ref int lwork, int[] iwork, ref int info);
186        [DllImport("lapack_gen", EntryPoint = "sgelsd"),SuppressUnmanagedCodeSecurity]
187        private static extern void lapack_sgelsd (ref int m,ref int n,ref int nrhs, float[] A,ref int lda, float[] B,ref int ldb, float[] S, ref float RCond, ref int rank, float[] work,ref int lwork, int[] iwork, ref int info);
188        [DllImport("lapack_gen", EntryPoint = "cgelsd"),SuppressUnmanagedCodeSecurity]
189        private static extern void lapack_cgelsd (ref int m,ref int n,ref int nrhs, [In,Out] fcomplex[] A,ref int lda, [In,Out] fcomplex[] B,ref int ldb, float[] S , ref float RCond, ref int rank, [In,Out] fcomplex[] work, ref int lwork, float[] rwork, int[] iwork, ref int info);
190        [DllImport("lapack_gen", EntryPoint = "zgelsd"),SuppressUnmanagedCodeSecurity]
191        private static extern void lapack_zgelsd (ref int m,ref int n,ref int nrhs, [In,Out] complex[] A,ref int lda, [In,Out] complex[] B,ref int ldb, double[] S, ref double RCond, ref int rank, [In,Out]  complex[] work,ref int lwork, double[] rwork, int[] iwork, ref int info);
192       
193        [DllImport("lapack_gen", EntryPoint = "dgelsy"),SuppressUnmanagedCodeSecurity]
194        private static extern void lapack_dgelsy (ref int m,ref int n,ref int nrhs, double[] A,ref int lda, double[] B,ref int ldb, int[] JPVT0, ref double RCond, ref int rank, double[] work, ref int lwork, ref int info);
195        [DllImport("lapack_gen", EntryPoint = "sgelsy"),SuppressUnmanagedCodeSecurity]
196        private static extern void lapack_sgelsy (ref int m,ref int n,ref int nrhs, float[] A,ref int lda, float[] B,ref int ldb, int[] JPVT0, ref float RCond, ref int rank, float[] work,ref int lwork, ref int info);
197        [DllImport("lapack_gen", EntryPoint = "cgelsy"),SuppressUnmanagedCodeSecurity]
198        private static extern void lapack_cgelsy (ref int m,ref int n,ref int nrhs, [In,Out] fcomplex[] A,ref int lda, [In,Out] fcomplex[] B,ref int ldb, int[] JPVT0, ref float RCond, ref int rank, [In,Out] fcomplex[] work, ref int lwork, float[] rwork, ref int info);
199        [DllImport("lapack_gen", EntryPoint = "zgelsy"),SuppressUnmanagedCodeSecurity]
200        private static extern void lapack_zgelsy (ref int m,ref int n,ref int nrhs, [In,Out] complex[] A,ref int lda, [In,Out] complex[] B,ref int ldb, int[] JPVT0, ref double RCond, ref int rank, [In,Out]  complex[] work, ref int lwork, double[] rwork, ref int info);
201       
202        [DllImport("lapack_gen", EntryPoint = "dgeevx"),SuppressUnmanagedCodeSecurity]
203        private static extern void lapack_dgeevx (ref char balance, ref char jobvl, ref char jobvr, ref char sense, ref int n,            double[] A, ref int lda,          double[] wr, double[] wi, double[] vl, ref int ldvl,            double[] vr, ref int ldvr, ref int ilo, ref int ihi, double[] scale, ref double abnrm, double[] rconde, double[] rcondv, double[] work, ref int lwork, int [] iwork, ref int info);
204        [DllImport("lapack_gen", EntryPoint = "sgeevx"),SuppressUnmanagedCodeSecurity]
205        private static extern void lapack_sgeevx (ref char balance, ref char jobvl, ref char jobvr, ref char sense, ref int n,             float[] A, ref int lda,             float[] wr, float[] wi, float[] vl, ref int ldvl,             float[] vr, ref int ldvr, ref int ilo, ref int ihi, float[]  scale, ref float  abnrm, float[]  rconde, float[]  rcondv, float [] work, ref int lwork, int [] iwork, ref int info);
206        [DllImport("lapack_gen", EntryPoint = "cgeevx"),SuppressUnmanagedCodeSecurity]
207        private static extern void lapack_cgeevx (ref char balance, ref char jobvl, ref char jobvr, ref char sense, ref int n, [In,Out] fcomplex[] A, ref int lda, [In,Out] fcomplex[] w,  [In,Out] fcomplex[] vl, ref int ldvl, [In,Out] fcomplex[] vr, ref int ldvr, ref int ilo, ref int ihi, float[]  scale, ref float  abnrm, float[]  rconde, float[]  rcondv, [In,Out] fcomplex[] work, ref int lwork, float[] rwork, ref int info);
208        [DllImport("lapack_gen", EntryPoint = "zgeevx"),SuppressUnmanagedCodeSecurity]
209        private static extern void lapack_zgeevx (ref char balance, ref char jobvl, ref char jobvr, ref char sense, ref int n, [In,Out]  complex[] A, ref int lda, [In,Out] complex[]  w,   [In,Out] complex[] vl, ref int ldvl, [In,Out]  complex[] vr, ref int ldvr, ref int ilo, ref int ihi, double[] scale, ref double abnrm, double[] rconde, double[] rcondv, [In,Out] complex[] work, ref int lwork, double[] rwork, ref int info);
210
211        [DllImport("lapack_gen", EntryPoint = "dsyevr"),SuppressUnmanagedCodeSecurity]
212        private static extern void lapack_dsyevr (ref char jobz, ref char range, ref char uplo, ref int n,          double  [] A, ref int lda, ref double vl, ref double vu, ref int il, ref int iu, ref double abstol, ref int m, double[] w,          double  [] z, ref int ldz, int[] isuppz, double[] work, ref int lwork, int[] iwork, ref int liwork, ref int info);
213        [DllImport("lapack_gen", EntryPoint = "ssyevr"),SuppressUnmanagedCodeSecurity]                                                                                                                                                                                                                                         
214        private static extern void lapack_ssyevr (ref char jobz, ref char range, ref char uplo, ref int n,          float   [] A, ref int lda, ref float  vl, ref float  vu, ref int il, ref int iu, ref float  abstol, ref int m, float [] w,          float   [] z, ref int ldz, int[] isuppz, float [] work, ref int lwork, int[] iwork, ref int liwork, ref int info);
215        [DllImport("lapack_gen", EntryPoint = "cheevr"),SuppressUnmanagedCodeSecurity]                                                                                                                                                                                                                                         
216        private static extern void lapack_cheevr (ref char jobz, ref char range, ref char uplo, ref int n, [In,Out] fcomplex[] A, ref int lda, ref float  vl, ref float  vu, ref int il, ref int iu, ref float  abstol, ref int m, float [] w, [In,Out] fcomplex[] z, ref int ldz, int[] isuppz, [In,Out] fcomplex[] work, ref int lwork, float[] rwork, ref int lrwork, int[] iwork, ref int liwork, ref int info);
217        [DllImport("lapack_gen", EntryPoint = "zheevr"),SuppressUnmanagedCodeSecurity]                                                                                                                                                                                                                                         
218        private static extern void lapack_zheevr (ref char jobz, ref char range, ref char uplo, ref int n, [In,Out] complex [] A, ref int lda, ref double vl, ref double vu, ref int il, ref int iu, ref double abstol, ref int m, double[] w, [In,Out] complex [] z, ref int ldz, int[] isuppz, [In,Out] complex[] work, ref int lwork, double[] rwork, ref int lrwork, int[] iwork, ref int liwork, ref int info);
219
220        [DllImport("lapack_gen", EntryPoint = "dsygv"),SuppressUnmanagedCodeSecurity]
221        private static extern void lapack_dsygv (ref int itype, ref char jobz, ref char uplo, ref int n, double  [] A, ref int lda, double  [] B, ref int ldb, double [] w, double [] work, ref int lwork, ref int info);
222        [DllImport("lapack_gen", EntryPoint = "ssygv"),SuppressUnmanagedCodeSecurity]
223        private static extern void lapack_ssygv (ref int itype, ref char jobz, ref char uplo, ref int n, float   [] A, ref int lda, float   [] B, ref int ldb, float [] w,  float  [] work, ref int lwork, ref int info);
224        [DllImport("lapack_gen", EntryPoint = "chegv"),SuppressUnmanagedCodeSecurity]
225        private static extern void lapack_chegv (ref int itype, ref char jobz, ref char uplo, ref int n, [In,Out] fcomplex[] A, ref int lda, [In,Out] fcomplex [] B, ref int ldb, float  [] w, [In,Out] fcomplex[] work , ref int lwork, float[] rwork, ref int info);
226        [DllImport("lapack_gen", EntryPoint = "zhegv"),SuppressUnmanagedCodeSecurity]
227        private static extern void lapack_zhegv (ref int itype, ref char jobz, ref char uplo, ref int n, [In,Out] complex [] A, ref int lda, [In,Out] complex  [] B, ref int ldb, double [] w, [In,Out]  complex[] work , ref int lwork, double[] rwork, ref int info);
228
229#endregion DLL INCLUDES
230
231        #region ILLAPACK INTERFACE
232
233        private int ILAENV (int ispec, string name, string opts, int n1, int n2, int n3, int n4) {
234            //Salford.Fortran.Character a = new Salford.Fortran.Character();
235            //a = Salford.Fortran.Character.data
236            //return ManagedLapackF95.ILAENV(&ispec, &(Salford.Fortran.Character)(name[0]), &opts, &n1, &n2, &n3, &n4, name.Length, opts.Length);
237            return 0;
238        }
239
240        /// <summary>
241        /// Implement wrapper for ATLAS GeneralMatrixMultiply
242        /// </summary>
243        /// <param name="TransA">Transposition state for matrix A: one of the constants in enum CBlas_Transpose</param>
244        /// <param name="TransB">Transposition state for matrix B: one of the constants in enum CBlas_Transpose</param>
245        /// <param name="M">Number of rows in A</param>
246        /// <param name="N">Number of columns in B</param>
247        /// <param name="K">Number of columns in A and number of rows in B</param>
248        /// <param name="alpha">multiplicationi factor for A</param>
249        /// <param name="A">pointer to double array A</param>
250        /// <param name="lda">distance between first elements of each column for column based orientation or
251        /// distance between first elements of each row for row based orientation for matrix B</param>
252        /// <param name="B">pointer to double array B</param>
253        /// <param name="ldb">distance between first elements of each column for column based orientation or
254        /// distance between first elements of each row for row based orientation for matrix A</param>
255        /// <param name="beta">multiplication faktor for matrix B</param>
256        /// <param name="C">pointer to predefined double array C of neccessary length</param>
257        /// <param name="ldc">distance between first elements of each column for column based orientation or
258        /// distance between first elements of each row for row based orientation for matrix C</param>
259        /// <remarks>All parameters except C are readonly. Only elements of matrix C will be altered. C must be a predefined
260        /// continous double array of size MxN</remarks>
261        public void dgemm(char TransA, char TransB, int M, int N, int K, double alpha, IntPtr A, int lda, IntPtr B, int ldb, double beta, double[] C, int ldc) {
262            lapack_dgemm(ref TransA, ref TransB, ref M, ref  N, ref  K, ref  alpha, A, ref lda, B, ref ldb, ref  beta, C, ref  ldc);
263        }
264        /// <summary>
265        /// Implement wrapper for ATLAS GeneralMatrixMultiply
266        /// </summary>
267        /// <param name="TransA">Transposition state for matrix A: one of the constants in enum CBlas_Transpose</param>
268        /// <param name="TransB">Transposition state for matrix B: one of the constants in enum CBlas_Transpose</param>
269        /// <param name="M">Number of rows in A</param>
270        /// <param name="N">Number of columns in B</param>
271        /// <param name="K">Number of columns in A and number of rows in B</param>
272        /// <param name="alpha">multiplicationi factor for A</param>
273        /// <param name="A">pointer to double array A</param>
274        /// <param name="lda">distance between first elements of each column for column based orientation or
275        /// distance between first elements of each row for row based orientation for matrix B</param>
276        /// <param name="B">pointer to double array B</param>
277        /// <param name="ldb">distance between first elements of each column for column based orientation or
278        /// distance between first elements of each row for row based orientation for matrix A</param>
279        /// <param name="beta">multiplication faktor for matrix B</param>
280        /// <param name="C">pointer to predefined double array C of neccessary length</param>
281        /// <param name="ldc">distance between first elements of each column for column based orientation or
282        /// distance between first elements of each row for row based orientation for matrix C</param>
283        /// <remarks>All parameters except C are readonly. Only elements of matrix C will be altered. C must be a predefined
284        /// continous double array of size MxN</remarks>
285        public void sgemm(char TransA, char TransB, int M, int N, int K, float alpha, IntPtr A, int lda, IntPtr B, int ldb, float beta, float[] C, int ldc) {
286            //ManagedLapackF95.SGEMM((IntPtr)TransA, (IntPtr)TransB, (IntPtr)M, (IntPtr)N, (IntPtr)K, (IntPtr)alpha, (IntPtr)A, (IntPtr)lda, (IntPtr)B, (IntPtr)ldb, (IntPtr)beta, (IntPtr)C, (IntPtr)ldc);
287        }
288        /// <summary>
289        /// Implement wrapper for ATLAS GeneralMatrixMultiply
290        /// </summary>
291        /// <param name="TransA">Transposition state for matrix A: one of the constants in enum CBlas_Transpose</param>
292        /// <param name="TransB">Transposition state for matrix B: one of the constants in enum CBlas_Transpose</param>
293        /// <param name="M">Number of rows in A</param>
294        /// <param name="N">Number of columns in B</param>
295        /// <param name="K">Number of columns in A and number of rows in B</param>
296        /// <param name="alpha">multiplicationi factor for A</param>
297        /// <param name="A">pointer to double array A</param>
298        /// <param name="lda">distance between first elements of each column for column based orientation or
299        /// distance between first elements of each row for row based orientation for matrix B</param>
300        /// <param name="B">pointer to double array B</param>
301        /// <param name="ldb">distance between first elements of each column for column based orientation or
302        /// distance between first elements of each row for row based orientation for matrix A</param>
303        /// <param name="beta">multiplication faktor for matrix B</param>
304        /// <param name="C">pointer to predefined double array C of neccessary length</param>
305        /// <param name="ldc">distance between first elements of each column for column based orientation or
306        /// distance between first elements of each row for row based orientation for matrix C</param>
307        /// <remarks>All parameters except C are readonly. Only elements of matrix C will be altered. C must be a predefined
308        /// continous double array of size MxN</remarks>
309        public void cgemm(char TransA, char TransB, int M, int N, int K, fcomplex alpha, IntPtr A, int lda, IntPtr B, int ldb, fcomplex beta, fcomplex[] C, int ldc) {
310            lapack_cgemm(ref TransA, ref TransB, ref M, ref  N, ref  K, ref  alpha, A, ref lda, B, ref ldb, ref  beta, C, ref  ldc);
311        }
312        /// <summary>
313        /// Implement wrapper for ATLAS GeneralMatrixMultiply
314        /// </summary>
315        /// <param name="TransA">Transposition state for matrix A: one of the constants in enum CBlas_Transpose</param>
316        /// <param name="TransB">Transposition state for matrix B: one of the constants in enum CBlas_Transpose</param>
317        /// <param name="M">Number of rows in A</param>
318        /// <param name="N">Number of columns in B</param>
319        /// <param name="K">Number of columns in A and number of rows in B</param>
320        /// <param name="alpha">multiplicationi factor for A</param>
321        /// <param name="A">pointer to double array A</param>
322        /// <param name="lda">distance between first elements of each column for column based orientation or
323        /// distance between first elements of each row for row based orientation for matrix B</param>
324        /// <param name="B">pointer to double array B</param>
325        /// <param name="ldb">distance between first elements of each column for column based orientation or
326        /// distance between first elements of each row for row based orientation for matrix A</param>
327        /// <param name="beta">multiplication faktor for matrix B</param>
328        /// <param name="C">pointer to predefined double array C of neccessary length</param>
329        /// <param name="ldc">distance between first elements of each column for column based orientation or
330        /// distance between first elements of each row for row based orientation for matrix C</param>
331        /// <remarks>All parameters except C are readonly. Only elements of matrix C will be altered. C must be a predefined
332        /// continous double array of size MxN</remarks>
333        public void zgemm(char TransA, char TransB, int M, int N, int K, complex alpha, IntPtr A, int lda, IntPtr B, int ldb, complex beta, complex[] C, int ldc) {
334            lapack_zgemm(ref TransA, ref TransB, ref M, ref  N, ref  K, ref  alpha, A, ref lda, B, ref ldb, ref  beta, C, ref  ldc);
335        }
336
337
338       
339        public void  dgesdd (char jobz, int m, int n,  double [] a, int lda,  double [] s,  double [] u, int ldu,  double [] vt, int ldvt, ref int info) {
340            try {
341                 double [] work = new  double [1] { ( double )0.0 };
342                int lwork = -1;
343                int[] iwork = new int[((m < n) ? m : n) * 8];
344                 lapack_dgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
345                if (work[0] != 0) {
346                    work = new  double [(int)work[0]];
347                    lwork = work.Length;
348                     lapack_dgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
349                }
350            } catch (Exception e) {
351                if (e is OutOfMemoryException) {
352                     dgesvd (jobz, m, n, a, lda, s, u, ldu, vt, ldvt, ref info);
353                }
354                throw new ILException("Unable to do " +  "dgesdd"  + ".", e);
355            }
356        }
357
358#region HYCALPER AUTO GENERATED CODE
359
360       
361        public void  sgesdd (char jobz, int m, int n,  float [] a, int lda,  float [] s,  float [] u, int ldu,  float [] vt, int ldvt, ref int info) {
362            try {
363                float [] work = new  float [1] { ( float )0.0 };
364                int lwork = -1;
365                int[] iwork = new int[((m < n) ? m : n) * 8];
366                lapack_sgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
367                if (work[0] != 0) {
368                    work = new  float [(int)work[0]];
369                    lwork = work.Length;
370                    lapack_sgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
371                }
372            } catch (Exception e) {
373                if (e is OutOfMemoryException) {
374                    sgesvd (jobz, m, n, a, lda, s, u, ldu, vt, ldvt, ref info);
375                }
376                throw new ILException("Unable to do " +  "sgesdd"  + ".", e);
377            }
378        }
379
380#endregion HYCALPER AUTO GENERATED CODE
381
382
383
384        public void  zgesdd (char jobz, int m, int n,  complex [] a, int lda,  double [] s,  complex [] u, int ldu, complex [] vt, int ldvt, ref int info)
385        {
386            try {
387                 complex [] work = new  complex [1] { (  complex )0.0 };
388                 double [] rwork;
389                int minMN = (m < n) ? m : n;
390                if (jobz == 'N') {
391                    rwork = new  double [minMN * 7]; 
392                } else {
393                    rwork = new  double [5 * minMN * minMN + 5 * minMN]; 
394                }
395                int lwork = -1;
396                int[] iwork = new int[minMN * 8];
397                 lapack_zgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, rwork, iwork, ref info);
398                if (work[0] != 0) {
399                    work = new  complex [(int)work[0].real];
400                    lwork = work.Length;
401                     lapack_zgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork,rwork, iwork, ref info);
402                }
403            } catch (Exception e) {
404                if (e is OutOfMemoryException) {
405                     zgesvd (jobz, m, n, a, lda, s, u, ldu, vt, ldvt, ref info);
406                }
407                throw new ILException("Unable to do " +  "zgesdd"  + ".", e);
408            }
409        }
410
411#region HYCALPER AUTO GENERATED CODE
412
413
414        public void  cgesdd (char jobz, int m, int n,  fcomplex [] a, int lda,  float [] s,  fcomplex [] u, int ldu, fcomplex [] vt, int ldvt, ref int info)
415        {
416            try {
417                fcomplex [] work = new  fcomplex [1] { (  fcomplex )0.0 };
418                float [] rwork;
419                int minMN = (m < n) ? m : n;
420                if (jobz == 'N') {
421                    rwork = new  float [minMN * 7]; 
422                } else {
423                    rwork = new  float [5 * minMN * minMN + 5 * minMN]; 
424                }
425                int lwork = -1;
426                int[] iwork = new int[minMN * 8];
427                lapack_cgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, rwork, iwork, ref info);
428                if (work[0] != 0) {
429                    work = new  fcomplex [(int)work[0].real];
430                    lwork = work.Length;
431                    lapack_cgesdd (ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork,rwork, iwork, ref info);
432                }
433            } catch (Exception e) {
434                if (e is OutOfMemoryException) {
435                    cgesvd (jobz, m, n, a, lda, s, u, ldu, vt, ldvt, ref info);
436                }
437                throw new ILException("Unable to do " +  "zgesdd"  + ".", e);
438            }
439        }
440
441#endregion HYCALPER AUTO GENERATED CODE
442
443
444       
445
446        /// <summary>
447        /// singular value decomposition
448        /// </summary>
449        /// <param name="jobz"></param>
450        /// <param name="m"></param>
451        /// <param name="n"></param>
452        /// <param name="a"></param>
453        /// <param name="lda"></param>
454        /// <param name="s"></param>
455        /// <param name="u"></param>
456        /// <param name="ldu"></param>
457        /// <param name="vt"></param>
458        /// <param name="ldvt"></param>
459        /// <param name="info"></param>
460        public void  dgesvd (char jobz, int m, int n,  double [] a, int lda,
461                            double [] s,  double [] u, int ldu,  double [] vt, int ldvt, ref int info) {
462            if (jobz != 'A' && jobz != 'S' && jobz != 'N')
463                throw new ILArgumentException("Argument jobz must be one of 'A','S' or 'N'");
464            try {
465                 double [] work = new  double [1] { ( double )0.0 };
466                int lwork = -1;
467                int[] iwork = new int[((m < n) ? m : n) * 8];
468                 lapack_dgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
469                if (work[0] != 0) {
470                    work = new  double [(int)work[0]];
471                    lwork = work.Length;
472                     lapack_dgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
473                }
474            } catch (Exception e) {
475                if (e is OutOfMemoryException) {
476                    throw new ILMemoryException("Not enough memory for given arguments.");
477                }
478                throw new ILException("Unable to do gesvd.", e);
479            }
480        }
481
482#region HYCALPER AUTO GENERATED CODE
483
484       
485
486        /// <summary>
487        /// singular value decomposition
488        /// </summary>
489        /// <param name="jobz"></param>
490        /// <param name="m"></param>
491        /// <param name="n"></param>
492        /// <param name="a"></param>
493        /// <param name="lda"></param>
494        /// <param name="s"></param>
495        /// <param name="u"></param>
496        /// <param name="ldu"></param>
497        /// <param name="vt"></param>
498        /// <param name="ldvt"></param>
499        /// <param name="info"></param>
500        public void  sgesvd (char jobz, int m, int n,  float [] a, int lda,
501                           float [] s,  float [] u, int ldu,  float [] vt, int ldvt, ref int info) {
502            if (jobz != 'A' && jobz != 'S' && jobz != 'N')
503                throw new ILArgumentException("Argument jobz must be one of 'A','S' or 'N'");
504            try {
505                float [] work = new  float [1] { ( float )0.0 };
506                int lwork = -1;
507                int[] iwork = new int[((m < n) ? m : n) * 8];
508                lapack_sgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
509                if (work[0] != 0) {
510                    work = new  float [(int)work[0]];
511                    lwork = work.Length;
512                    lapack_sgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
513                }
514            } catch (Exception e) {
515                if (e is OutOfMemoryException) {
516                    throw new ILMemoryException("Not enough memory for given arguments.");
517                }
518                throw new ILException("Unable to do gesvd.", e);
519            }
520        }
521       
522
523        /// <summary>
524        /// singular value decomposition
525        /// </summary>
526        /// <param name="jobz"></param>
527        /// <param name="m"></param>
528        /// <param name="n"></param>
529        /// <param name="a"></param>
530        /// <param name="lda"></param>
531        /// <param name="s"></param>
532        /// <param name="u"></param>
533        /// <param name="ldu"></param>
534        /// <param name="vt"></param>
535        /// <param name="ldvt"></param>
536        /// <param name="info"></param>
537        public void  zgesvd (char jobz, int m, int n,  complex [] a, int lda,
538                           double [] s,  complex [] u, int ldu,  complex [] vt, int ldvt, ref int info) {
539            if (jobz != 'A' && jobz != 'S' && jobz != 'N')
540                throw new ILArgumentException("Argument jobz must be one of 'A','S' or 'N'");
541            try {
542                complex [] work = new  complex [1] { ( complex )0.0 };
543                int lwork = -1;
544                int[] iwork = new int[((m < n) ? m : n) * 8];
545                lapack_zgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
546                if (work[0] != 0) {
547                    work = new  complex [(int)work[0]];
548                    lwork = work.Length;
549                    lapack_zgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
550                }
551            } catch (Exception e) {
552                if (e is OutOfMemoryException) {
553                    throw new ILMemoryException("Not enough memory for given arguments.");
554                }
555                throw new ILException("Unable to do gesvd.", e);
556            }
557        }
558       
559
560        /// <summary>
561        /// singular value decomposition
562        /// </summary>
563        /// <param name="jobz"></param>
564        /// <param name="m"></param>
565        /// <param name="n"></param>
566        /// <param name="a"></param>
567        /// <param name="lda"></param>
568        /// <param name="s"></param>
569        /// <param name="u"></param>
570        /// <param name="ldu"></param>
571        /// <param name="vt"></param>
572        /// <param name="ldvt"></param>
573        /// <param name="info"></param>
574        public void  cgesvd (char jobz, int m, int n,  fcomplex [] a, int lda,
575                           float [] s,  fcomplex [] u, int ldu,  fcomplex [] vt, int ldvt, ref int info) {
576            if (jobz != 'A' && jobz != 'S' && jobz != 'N')
577                throw new ILArgumentException("Argument jobz must be one of 'A','S' or 'N'");
578            try {
579                fcomplex [] work = new  fcomplex [1] { ( fcomplex )0.0 };
580                int lwork = -1;
581                int[] iwork = new int[((m < n) ? m : n) * 8];
582                lapack_cgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
583                if (work[0] != 0) {
584                    work = new  fcomplex [(int)work[0]];
585                    lwork = work.Length;
586                    lapack_cgesvd (ref jobz, ref jobz, ref m, ref n, a, ref lda, s, u, ref ldu, vt, ref ldvt, work, ref lwork, iwork, ref info);
587                }
588            } catch (Exception e) {
589                if (e is OutOfMemoryException) {
590                    throw new ILMemoryException("Not enough memory for given arguments.");
591                }
592                throw new ILException("Unable to do gesvd.", e);
593            }
594        }
595
596#endregion HYCALPER AUTO GENERATED CODE
597
598        public void dpotrf(char uplo, int n, double[] A, int lda, ref int info) {
599            lapack_dpotrf(ref uplo, ref n, A, ref lda, ref info);
600        }
601        public void spotrf(char uplo, int n, float[] A, int lda, ref int info) {
602            lapack_spotrf(ref uplo, ref n, A, ref lda, ref info);
603        }
604        public void cpotrf(char uplo, int n, fcomplex[] A, int lda, ref int info) {
605            lapack_cpotrf(ref uplo, ref n, A, ref lda, ref info);
606        }
607        public void zpotrf(char uplo, int n, complex[] A, int lda, ref int info) {
608            lapack_zpotrf(ref uplo, ref n, A, ref lda, ref info);
609        }
610
611
612        public void dpotri(char uplo, int n, double[] A, int lda, ref int info) {
613            lapack_dpotri(ref uplo, ref n, A, ref lda, ref info);
614        }
615        public void spotri(char uplo, int n, float[] A, int lda, ref int info) {
616            lapack_spotri(ref uplo, ref n, A, ref lda, ref info);
617        }
618        public void cpotri(char uplo, int n, fcomplex[] A, int lda, ref int info) {
619            lapack_cpotri(ref uplo, ref n, A, ref lda, ref info);
620        }
621        public void zpotri(char uplo, int n, complex[] A, int lda, ref int info) {
622            lapack_zpotri(ref uplo, ref n, A, ref lda, ref info);
623        }
624
625
626        public void dgetrf(int M, int N, double[] A, int LDA, int[] IPIV, ref int info) {
627            lapack_dgetrf(ref M, ref N, A, ref LDA, IPIV, ref info);
628        }
629        public void sgetrf(int M, int N, float[] A, int LDA, int[] IPIV, ref int info) {
630            lapack_sgetrf(ref M, ref N, A, ref LDA, IPIV, ref info);
631        }
632        public void cgetrf(int M, int N, fcomplex[] A, int LDA, int[] IPIV, ref int info) {
633            lapack_cgetrf(ref M, ref N, A, ref LDA, IPIV, ref info);
634        }
635        public void zgetrf(int M, int N, complex[] A, int LDA, int[] IPIV, ref int info) {
636            lapack_zgetrf(ref M, ref N, A, ref LDA, IPIV, ref info);
637        }
638
639
640       
641        public void  dgetri (int N,  double [] A, int LDA, int[] IPIV, ref int info) {
642             double [] work = new  double [1]; 
643            int lwork = -1;
644            try {
645                 lapack_dgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
646                lwork = (int)work[0];
647                if (lwork > 0 && info == 0) {
648                    work = new  double [lwork];
649                     lapack_dgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
650                } else {
651                    throw new ILException("error in lapack_dgetri");
652                }
653            } catch (OutOfMemoryException e) {
654                throw new ILException("error on dgetri. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
655            }
656        }
657
658#region HYCALPER AUTO GENERATED CODE
659
660       
661        public void  sgetri (int N,  float [] A, int LDA, int[] IPIV, ref int info) {
662            float [] work = new  float [1]; 
663            int lwork = -1;
664            try {
665                lapack_sgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
666                lwork = (int)work[0];
667                if (lwork > 0 && info == 0) {
668                    work = new  float [lwork];
669                    lapack_sgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
670                } else {
671                    throw new ILException("error in lapack_dgetri");
672                }
673            } catch (OutOfMemoryException e) {
674                throw new ILException("error on dgetri. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
675            }
676        }
677       
678        public void  zgetri (int N,  complex [] A, int LDA, int[] IPIV, ref int info) {
679            complex [] work = new  complex [1]; 
680            int lwork = -1;
681            try {
682                lapack_zgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
683                lwork = (int)work[0];
684                if (lwork > 0 && info == 0) {
685                    work = new  complex [lwork];
686                    lapack_zgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
687                } else {
688                    throw new ILException("error in lapack_dgetri");
689                }
690            } catch (OutOfMemoryException e) {
691                throw new ILException("error on dgetri. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
692            }
693        }
694       
695        public void  cgetri (int N,  fcomplex [] A, int LDA, int[] IPIV, ref int info) {
696            fcomplex [] work = new  fcomplex [1]; 
697            int lwork = -1;
698            try {
699                lapack_cgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
700                lwork = (int)work[0];
701                if (lwork > 0 && info == 0) {
702                    work = new  fcomplex [lwork];
703                    lapack_cgetri (ref N, A, ref LDA, IPIV, work, ref lwork, ref info);
704                } else {
705                    throw new ILException("error in lapack_dgetri");
706                }
707            } catch (OutOfMemoryException e) {
708                throw new ILException("error on dgetri. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
709            }
710        }
711
712#endregion HYCALPER AUTO GENERATED CODE
713
714
715       
716        public void  dgeqrf (int M, int N,  double [] A, int lda,  double [] tau, ref int info) {
717             double [] work = new  double [1]; 
718            int lwork = -1;
719            try {
720                 lapack_dgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
721                lwork = (int)work[0];
722                if (lwork > 0 && info == 0) {
723                    work = new  double [lwork];
724                     lapack_dgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
725                } else {
726                    throw new ILException("error in lapack_?geqrf");
727                }
728            } catch (OutOfMemoryException e) {
729                throw new ILException("error on ?geqrf. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
730            }
731        }
732
733#region HYCALPER AUTO GENERATED CODE
734
735       
736        public void  sgeqrf (int M, int N,  float [] A, int lda,  float [] tau, ref int info) {
737            float [] work = new  float [1]; 
738            int lwork = -1;
739            try {
740                lapack_sgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
741                lwork = (int)work[0];
742                if (lwork > 0 && info == 0) {
743                    work = new  float [lwork];
744                    lapack_sgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
745                } else {
746                    throw new ILException("error in lapack_?geqrf");
747                }
748            } catch (OutOfMemoryException e) {
749                throw new ILException("error on ?geqrf. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
750            }
751        }
752       
753        public void  zgeqrf (int M, int N,  complex [] A, int lda,  complex [] tau, ref int info) {
754            complex [] work = new  complex [1]; 
755            int lwork = -1;
756            try {
757                lapack_zgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
758                lwork = (int)work[0];
759                if (lwork > 0 && info == 0) {
760                    work = new  complex [lwork];
761                    lapack_zgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
762                } else {
763                    throw new ILException("error in lapack_?geqrf");
764                }
765            } catch (OutOfMemoryException e) {
766                throw new ILException("error on ?geqrf. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
767            }
768        }
769       
770        public void  cgeqrf (int M, int N,  fcomplex [] A, int lda,  fcomplex [] tau, ref int info) {
771            fcomplex [] work = new  fcomplex [1]; 
772            int lwork = -1;
773            try {
774                lapack_cgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
775                lwork = (int)work[0];
776                if (lwork > 0 && info == 0) {
777                    work = new  fcomplex [lwork];
778                    lapack_cgeqrf (ref M, ref N, A, ref lda, tau, work, ref lwork, ref info);
779                } else {
780                    throw new ILException("error in lapack_?geqrf");
781                }
782            } catch (OutOfMemoryException e) {
783                throw new ILException("error on ?geqrf. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
784            }
785        }
786
787#endregion HYCALPER AUTO GENERATED CODE
788
789        public void dormqr(char side, char trans, int m, int n, int k, double[] A, int lda, double[] tau, double[] C, int LDC, ref int info) {
790            throw new Exception("The method or operation is not implemented.");
791        }
792        public void sormqr(char side, char trans, int m, int n, int k, float[] A, int lda, float[] tau, float[] C, int LDC, ref int info) {
793            throw new Exception("The method or operation is not implemented.");
794        }
795
796
797       
798        public void  dorgqr (int M, int N, int K,  double [] A, int lda,  double [] tau, ref int info) {
799             double [] work = new  double [1]; 
800            int lwork = -1;
801            try {
802                /*!HC:lapack_***gqr*/ lapack_dorgqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
803                lwork = (int)work[0];
804                if (lwork > 0 && info == 0) {
805                    work = new  double [lwork];
806                    /*!HC:lapack_***gqr*/ lapack_dorgqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
807                } else {
808                    throw new ILException("error in lapack_?[un/or]gqr");
809                }
810            } catch (OutOfMemoryException e) {
811                throw new ILException("error on ?[un/or]gqr. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
812            }
813        }
814
815#region HYCALPER AUTO GENERATED CODE
816
817       
818        public void  sorgqr (int M, int N, int K,  float [] A, int lda,  float [] tau, ref int info) {
819            float [] work = new  float [1]; 
820            int lwork = -1;
821            try {
822                lapack_sorgqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
823                lwork = (int)work[0];
824                if (lwork > 0 && info == 0) {
825                    work = new  float [lwork];
826                    lapack_sorgqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
827                } else {
828                    throw new ILException("error in lapack_?[un/or]gqr");
829                }
830            } catch (OutOfMemoryException e) {
831                throw new ILException("error on ?[un/or]gqr. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
832            }
833        }
834       
835        public void  zungqr (int M, int N, int K,  complex [] A, int lda,  complex [] tau, ref int info) {
836            complex [] work = new  complex [1]; 
837            int lwork = -1;
838            try {
839                lapack_zungqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
840                lwork = (int)work[0];
841                if (lwork > 0 && info == 0) {
842                    work = new  complex [lwork];
843                    lapack_zungqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
844                } else {
845                    throw new ILException("error in lapack_?[un/or]gqr");
846                }
847            } catch (OutOfMemoryException e) {
848                throw new ILException("error on ?[un/or]gqr. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
849            }
850        }
851       
852        public void  cungqr (int M, int N, int K,  fcomplex [] A, int lda,  fcomplex [] tau, ref int info) {
853            fcomplex [] work = new  fcomplex [1]; 
854            int lwork = -1;
855            try {
856                lapack_cungqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
857                lwork = (int)work[0];
858                if (lwork > 0 && info == 0) {
859                    work = new  fcomplex [lwork];
860                    lapack_cungqr (ref M, ref N, ref K, A, ref lda, tau, work, ref lwork, ref info);
861                } else {
862                    throw new ILException("error in lapack_?[un/or]gqr");
863                }
864            } catch (OutOfMemoryException e) {
865                throw new ILException("error on ?[un/or]gqr. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
866            }
867        }
868
869#endregion HYCALPER AUTO GENERATED CODE
870
871
872       
873        public void  dgeqp3 ( int M,int N, double [] A,int LDA,int [] JPVT, double [] tau, ref int info ) {
874             double [] work = new  double [1];
875            int lwork = -1;
876            try {
877                 
878                /*dummy*/
879                 
880                lapack_dgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, ref info);
881                lwork = (int)work[0];
882                if (lwork > 0 && info == 0) {
883                    work = new  double [lwork];
884                     
885                    lapack_dgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, ref info);
886                } else {
887                    throw new ILException("error in lapack_?geqp3");
888                }
889            } catch (OutOfMemoryException e) {
890                throw new ILException("error on ?geqp3. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
891            }
892        }
893
894#region HYCALPER AUTO GENERATED CODE
895
896       
897        public void  sgeqp3 ( int M,int N, float [] A,int LDA,int [] JPVT, float [] tau, ref int info ) {
898            float [] work = new  float [1];
899            int lwork = -1;
900            try {
901               
902                lapack_sgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, ref info);
903                lwork = (int)work[0];
904                if (lwork > 0 && info == 0) {
905                    work = new  float [lwork];
906                    lapack_sgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, ref info);
907                } else {
908                    throw new ILException("error in lapack_?geqp3");
909                }
910            } catch (OutOfMemoryException e) {
911                throw new ILException("error on ?geqp3. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
912            }
913        }
914       
915        public void  zgeqp3 ( int M,int N, complex [] A,int LDA,int [] JPVT, complex [] tau, ref int info ) {
916            complex [] work = new  complex [1];
917            int lwork = -1;
918            try {
919                double[] rwork = new double[2 * N];
920                lapack_zgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, rwork, ref info);
921                lwork = (int)work[0];
922                if (lwork > 0 && info == 0) {
923                    work = new  complex [lwork];
924                    lapack_zgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, rwork, ref info);
925                } else {
926                    throw new ILException("error in lapack_?geqp3");
927                }
928            } catch (OutOfMemoryException e) {
929                throw new ILException("error on ?geqp3. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
930            }
931        }
932       
933        public void  cgeqp3 ( int M,int N, fcomplex [] A,int LDA,int [] JPVT, fcomplex [] tau, ref int info ) {
934            fcomplex [] work = new  fcomplex [1];
935            int lwork = -1;
936            try {
937                float[] rwork = new float[2 * N];
938                lapack_cgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, rwork, ref info);
939                lwork = (int)work[0];
940                if (lwork > 0 && info == 0) {
941                    work = new  fcomplex [lwork];
942                    lapack_cgeqp3 (ref M, ref N, A, ref LDA, JPVT, tau, work, ref lwork, rwork, ref info);
943                } else {
944                    throw new ILException("error in lapack_?geqp3");
945                }
946            } catch (OutOfMemoryException e) {
947                throw new ILException("error on ?geqp3. Not enough memory! " + (lwork * Marshal.SizeOf( work[0] )).ToString() + " bytes has been requested.",e);
948            }
949        }
950
951#endregion HYCALPER AUTO GENERATED CODE
952
953        public void dtrtrs(char uplo, char transA, char diag, int N, int nrhs, IntPtr A, int LDA, IntPtr B, int LDB, ref int info) {
954            lapack_dtrtrs(ref uplo, ref transA, ref diag, ref N, ref nrhs, A, ref LDA, B, ref LDB, ref info);
955        }
956        public void strtrs(char uplo, char transA, char diag, int N, int nrhs, IntPtr A, int LDA, IntPtr B, int LDB, ref int info) {
957            lapack_strtrs(ref uplo, ref transA, ref diag, ref N, ref nrhs, A, ref LDA, B, ref LDB, ref info);
958        }
959        public void ctrtrs(char uplo, char transA, char diag, int N, int nrhs, IntPtr A, int LDA, IntPtr B, int LDB, ref int info) {
960            lapack_ctrtrs(ref uplo, ref transA, ref diag, ref N, ref nrhs, A, ref LDA, B, ref LDB, ref info);
961        }
962        public void ztrtrs(char uplo, char transA, char diag, int N, int nrhs, IntPtr A, int LDA, IntPtr B, int LDB, ref int info) {
963            lapack_ztrtrs(ref uplo, ref transA, ref diag, ref N, ref nrhs, A, ref LDA, B, ref LDB, ref info);
964        }
965
966        public void dgetrs(char trans, int N, int NRHS, double[] A, int LDA, int[] IPIV, double[] B, int LDB, ref int info) {
967            lapack_dgetrs(ref trans,ref N,ref NRHS, A, ref LDA, IPIV, B, ref LDB, ref info);     
968        }
969
970        public void sgetrs(char trans, int N, int NRHS, float[] A, int LDA, int[] IPIV, float[] B, int LDB, ref int info) {
971            lapack_sgetrs(ref trans,ref N,ref NRHS, A, ref LDA, IPIV, B, ref LDB, ref info);     
972        }
973
974        public void cgetrs(char trans, int N, int NRHS, fcomplex[] A, int LDA, int[] IPIV, fcomplex[] B, int LDB, ref int info) {
975            lapack_cgetrs(ref trans,ref N,ref NRHS, A, ref LDA, IPIV, B, ref LDB, ref info);     
976        }
977
978        public void zgetrs(char trans, int N, int NRHS, complex[] A, int LDA, int[] IPIV, complex[] B, int LDB, ref int info) {
979            lapack_zgetrs(ref trans,ref N,ref NRHS, A, ref LDA, IPIV, B, ref LDB, ref info);
980        }
981       
982        public void dpotrs(char uplo, int n, int nrhs, double[] A, int lda, double[] B, int ldb, ref int info) {
983            lapack_dpotrs(ref uplo, ref n, ref nrhs, A, ref lda, B, ref ldb, ref info);
984        }
985
986        public void spotrs(char uplo, int n, int nrhs, float[] A, int lda, float[] B, int ldb, ref int info) {
987            lapack_spotrs(ref uplo, ref n, ref nrhs, A, ref lda, B, ref ldb, ref info);
988        }
989
990        public void cpotrs(char uplo, int n, int nrhs, fcomplex[] A, int lda, fcomplex[] B, int ldb, ref int info) {
991            lapack_cpotrs(ref uplo, ref n, ref nrhs, A, ref lda, B, ref ldb, ref info);
992        }
993
994        public void zpotrs(char uplo, int n, int nrhs, complex[] A, int lda, complex[] B, int ldb, ref int info) {
995            lapack_zpotrs(ref uplo, ref n, ref nrhs, A, ref lda, B, ref ldb, ref info);
996        }
997
998
999       
1000        public void  dgelsd (int m, int n, int nrhs,  double [] A, int lda,  double [] B, int ldb,  double [] S,  double RCond, ref int rank, ref int info) {
1001             double [] work = new  double [1];
1002            int [] iwork = new int[1];
1003            int lwork = -1;
1004            /*HC:HycalpTag1*/
1005            lapack_dgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, iwork, ref info);
1006            if (info != 0)
1007                throw new ILArgumentException("dgelsd: invalid parameter: #" + (-info).ToString());
1008            lwork = ILAENV(9, "dgelsd", " ",0,0,0,0);
1009            if (lwork <= 0)
1010                throw new ILArgumentException("dgelsd: unknown error determining working size liwork");
1011            iwork = new int[lwork];
1012            lwork = (int)work[0];
1013            work = new  double [lwork];
1014            /*HC:HycalpTag2*/
1015            lapack_dgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, iwork, ref info);
1016        }
1017
1018#region HYCALPER AUTO GENERATED CODE
1019
1020       
1021        public void  sgelsd  (int m, int n, int nrhs,  float [] A, int lda,  float [] B, int ldb,  float [] S,  float RCond, ref int rank, ref int info) {
1022            float [] work = new  float [1];
1023            int [] iwork = new int[1];
1024            int lwork = -1;
1025            lapack_sgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, iwork, ref info);
1026            if (info != 0)
1027                throw new ILArgumentException("dgelsd: invalid parameter: #" + (-info).ToString());
1028            lwork = ILAENV(9, "dgelsd", " ",0,0,0,0);
1029            if (lwork <= 0)
1030                throw new ILArgumentException("dgelsd: unknown error determining working size liwork");
1031            iwork = new int[lwork];
1032            lwork = (int)work[0];
1033            work = new  float [lwork];
1034            lapack_sgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, iwork, ref info);
1035        }
1036       
1037        public void  zgelsd  (int m, int n, int nrhs,  complex [] A, int lda,  complex [] B, int ldb,  double [] S,  double RCond, ref int rank, ref int info) {
1038            complex [] work = new  complex [1];
1039            int [] iwork = new int[1];
1040            int lwork = -1;
1041            double [] rwork = new double [1];  lapack_zgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, rwork, iwork, ref info);
1042            if (info != 0)
1043                throw new ILArgumentException("dgelsd: invalid parameter: #" + (-info).ToString());
1044            lwork = ILAENV(9, "dgelsd", " ",0,0,0,0);
1045            if (lwork <= 0)
1046                throw new ILArgumentException("dgelsd: unknown error determining working size liwork");
1047            iwork = new int[lwork];
1048            lwork = (int)work[0];
1049            work = new  complex [lwork];
1050            rwork = new double [(int)rwork[0]];  lapack_zgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, rwork, iwork, ref info);
1051        }
1052       
1053        public void  cgelsd  (int m, int n, int nrhs,  fcomplex [] A, int lda,  fcomplex [] B, int ldb,  float [] S,  float RCond, ref int rank, ref int info) {
1054            fcomplex [] work = new  fcomplex [1];
1055            int [] iwork = new int[1];
1056            int lwork = -1;
1057            float [] rwork = new float [1];  lapack_cgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, rwork, iwork, ref info);
1058            if (info != 0)
1059                throw new ILArgumentException("dgelsd: invalid parameter: #" + (-info).ToString());
1060            lwork = ILAENV(9, "dgelsd", " ",0,0,0,0);
1061            if (lwork <= 0)
1062                throw new ILArgumentException("dgelsd: unknown error determining working size liwork");
1063            iwork = new int[lwork];
1064            lwork = (int)work[0];
1065            work = new  fcomplex [lwork];
1066            rwork = new float [(int)rwork[0]];  lapack_cgelsd (ref m, ref n, ref nrhs, A, ref lda, B, ref ldb, S,ref RCond, ref rank, work, ref lwork, rwork, iwork, ref info);
1067        }
1068
1069#endregion HYCALPER AUTO GENERATED CODE
1070
1071
1072       
1073        public void  dgelsy (int m, int n, int nrhs,  double [] A, int lda,  double [] B, int ldb, int[] JPVT0,  double RCond, ref int rank, ref int info) {
1074            int lwork = -1;
1075             double [] work = new  double [1];
1076             //
1077            /*!HC:lapack_?gelsy*/
1078            lapack_dgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork,ref info);
1079            if (info != 0)
1080                throw new ILArgumentException("?gelsy: unable to determine optimal block size. cancelling...");
1081            lwork = (int) work[0];
1082            work = new  double [lwork];
1083             //
1084            /*!HC:lapack_?gelsy*/
1085            lapack_dgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork,ref info);
1086        }
1087
1088#region HYCALPER AUTO GENERATED CODE
1089
1090       
1091        public void  sgelsy  (int m, int n, int nrhs,  float [] A, int lda,  float [] B, int ldb, int[] JPVT0,  float RCond, ref int rank, ref int info) {
1092            int lwork = -1;
1093            float [] work = new  float [1];
1094           
1095            lapack_sgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork,ref info);
1096            if (info != 0)
1097                throw new ILArgumentException("?gelsy: unable to determine optimal block size. cancelling...");
1098            lwork = (int) work[0];
1099            work = new  float [lwork];
1100           
1101            lapack_sgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork,ref info);
1102        }
1103       
1104        public void  zgelsy  (int m, int n, int nrhs,  complex [] A, int lda,  complex [] B, int ldb, int[] JPVT0,  double RCond, ref int rank, ref int info) {
1105            int lwork = -1;
1106            complex [] work = new  complex [1];
1107            double[] rwork = new double[1];
1108            lapack_zgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork, rwork, ref info);
1109            if (info != 0)
1110                throw new ILArgumentException("?gelsy: unable to determine optimal block size. cancelling...");
1111            lwork = (int) work[0];
1112            work = new  complex [lwork];
1113            rwork = new double[lwork];
1114            lapack_zgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork, rwork, ref info);
1115        }
1116       
1117        public void  cgelsy  (int m, int n, int nrhs,  fcomplex [] A, int lda,  fcomplex [] B, int ldb, int[] JPVT0,  float RCond, ref int rank, ref int info) {
1118            int lwork = -1;
1119            fcomplex [] work = new  fcomplex [1];
1120            float[] rwork = new float[1];
1121            lapack_cgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork, rwork, ref info);
1122            if (info != 0)
1123                throw new ILArgumentException("?gelsy: unable to determine optimal block size. cancelling...");
1124            lwork = (int) work[0];
1125            work = new  fcomplex [lwork];
1126            rwork = new float[lwork];
1127            lapack_cgelsy (ref m,ref n,ref nrhs,A,ref lda,B,ref ldb,JPVT0,ref RCond,ref rank,work,ref lwork, rwork, ref info);
1128        }
1129
1130#endregion HYCALPER AUTO GENERATED CODE
1131
1132        #region ?GEEVX
1133        public void dgeevx(char balance, char jobvl, char jobvr, char sense, int n, double[] A, int lda, double[] wr, double[] wi, double[] vl, int ldvl, double[] vr, int ldvr, ref int ilo, ref int ihi, double[] scale, ref double abnrm, double[] rconde, double[] rcondv, ref int info) {
1134            double [] work = new double[1];
1135            int lwork = -1;
1136            int [] iwork = new int[2 * n - 2];
1137            lapack_dgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, wr, wi, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, iwork, ref info);
1138            if (info != 0)
1139                throw new ILArgumentException("error in lapack call: ?geevx. (" + info + ")");
1140            lwork = (int)work[0];
1141            work = new double[lwork];
1142            lapack_dgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, wr, wi, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, iwork, ref info);
1143        }
1144        public void sgeevx(char balance, char jobvl, char jobvr, char sense, int n, float[] A, int lda, float[] wr, float[] wi, float[] vl, int ldvl, float[] vr, int ldvr, ref int ilo, ref int ihi, float[] scale, ref float abnrm, float[] rconde, float[] rcondv, ref int info) {
1145            float [] work = new float[1];
1146            int lwork = -1;
1147            int [] iwork = new int[2 * n - 2];
1148            lapack_sgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, wr, wi, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, iwork, ref info);
1149            if (info != 0)
1150                throw new ILArgumentException("error in lapack call: ?geevx. (" + info + ")");
1151            lwork = (int)work[0];
1152            work = new float[lwork];
1153            lapack_sgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, wr, wi, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, iwork, ref info);
1154        }
1155        public void cgeevx(char balance, char jobvl, char jobvr, char sense, int n, fcomplex[] A, int lda, fcomplex[] w, fcomplex[] vl, int ldvl, fcomplex[] vr, int ldvr, ref int ilo, ref int ihi, float[] scale, ref float abnrm, float[] rconde, float[] rcondv, ref int info) {
1156            fcomplex [] work = new fcomplex[1];
1157            int lwork = -1;
1158            float[] rwork = new float[2 * n];
1159            lapack_cgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, w, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, rwork, ref info);
1160            if (info != 0)
1161                throw new ILArgumentException("error in lapack call: ?geevx. (" + info + ")");
1162            lwork = (int)work[0];
1163            work = new fcomplex[lwork];
1164            lapack_cgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, w, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, rwork, ref info);
1165        }
1166        public void zgeevx(char balance, char jobvl, char jobvr, char sense, int n, complex[] A, int lda, complex[] w, complex[] vl, int ldvl, complex[] vr, int ldvr, ref int ilo, ref int ihi, double[] scale, ref double abnrm, double[] rconde, double[] rcondv, ref int info) {
1167            complex [] work = new complex[1];
1168            int lwork = -1;
1169            double[] rwork = new double[2 * n];
1170            lapack_zgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, w, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, rwork, ref info);
1171            if (info != 0)
1172                throw new ILArgumentException("error in lapack call: ?geevx. (" + info + ")");
1173            lwork = (int)work[0];
1174            work = new complex[lwork];
1175            lapack_zgeevx(ref balance, ref jobvl, ref jobvr, ref sense, ref n, A, ref lda, w, vl, ref ldvl, vr, ref ldvr, ref ilo, ref ihi, scale, ref abnrm, rconde, rcondv, work, ref lwork, rwork, ref info);
1176        }
1177        #endregion
1178
1179        #region ?SYEVR
1180        public void dsyevr(char jobz, char range, char uplo, int n, double[] A, int lda, double vl, double vu, int il, int iu, double abstol, ref int m, double[] w, double[] z, int ldz, int[] isuppz, ref int info) {
1181            double [] work = new double[1];
1182            int lwork = -1, liwork = -1;
1183            int [] iwork = new int[1];
1184            lapack_dsyevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,iwork,ref liwork,ref info);
1185            if (info != 0) {
1186                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1187            }
1188            lwork = (int)work[0];
1189            liwork = (int) iwork[0];
1190            //work = ILMemoryPool.Pool.New<double>(lwork);
1191            //iwork = ILMemoryPool.Pool.New<int>(liwork);
1192            work = new double[lwork];
1193            iwork = new int[liwork];
1194            lapack_dsyevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,iwork,ref liwork,ref info);
1195            //ILMemoryPool.Pool.RegisterObject(work);
1196            //ILMemoryPool.Pool.RegisterObject(iwork);
1197            if (info != 0) {
1198                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1199            }
1200        }
1201        public void ssyevr(char jobz, char range, char uplo, int n, float[] A, int lda, float vl, float vu, int il, int iu, float abstol, ref int m, float[] w, float[] z, int ldz, int[] isuppz, ref int info) {
1202            float [] work = new float[1];
1203            int lwork = -1, liwork = -1;
1204            int [] iwork = new int[1];
1205            lapack_ssyevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,iwork,ref liwork,ref info);
1206            if (info != 0) {
1207                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1208            }
1209            lwork = (int)work[0];
1210            work = ILMemoryPool.Pool.New<float>(lwork);
1211            liwork = (int) iwork[0];
1212            iwork = ILMemoryPool.Pool.New<int>(liwork);
1213            lapack_ssyevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,iwork,ref liwork,ref info);
1214            ILMemoryPool.Pool.Free(work);
1215            ILMemoryPool.Pool.Free(iwork);
1216            if (info != 0) {
1217                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1218            }
1219        }
1220        public void cheevr(char jobz, char range, char uplo, int n, fcomplex[] A, int lda, float vl, float vu, int il, int iu, float abstol, ref int m, float[] w, fcomplex[] z, int ldz, int[] isuppz, ref int info) {
1221            fcomplex[] work = new fcomplex[1];
1222            float [] rwork = new float[1];
1223            int [] iwork = new int[1];
1224            int lrwork = -1, liwork = -1, lwork = -1;
1225            lapack_cheevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,rwork,ref lrwork, iwork,ref liwork,ref info);
1226            if (info != 0) {
1227                throw new ILArgumentException("?chevr: error returned from lapack: " + info);
1228            }
1229            lrwork = (int)rwork[0];
1230            rwork = ILMemoryPool.Pool.New<float>(lrwork);
1231            lwork = (int) work[0];
1232            work = ILMemoryPool.Pool.New<fcomplex>(lwork);
1233            liwork = (int) iwork[0];
1234            iwork = ILMemoryPool.Pool.New<int>(liwork);
1235            lapack_cheevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,rwork,ref lrwork,iwork,ref liwork,ref info);
1236            ILMemoryPool.Pool.Free(rwork);
1237            ILMemoryPool.Pool.Free(work);
1238            ILMemoryPool.Pool.Free(iwork);
1239            if (info != 0) {
1240                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1241            }
1242        }
1243        public void zheevr(char jobz, char range, char uplo, int n, complex[] A, int lda, double vl, double vu, int il, int iu, double abstol, ref int m, double[] w, complex[] z, int ldz, int[] isuppz, ref int info) {
1244            complex[] work = new complex[1];
1245            double [] rwork = new double[1];
1246            int [] iwork = new int[1];
1247            int lrwork = -1, liwork = -1, lwork = -1;
1248            lapack_zheevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,rwork,ref lrwork, iwork,ref liwork,ref info);
1249            if (info != 0) {
1250                throw new ILArgumentException("?heevr: error returned from lapack: " + info);
1251            }
1252            lrwork = (int)rwork[0];
1253            rwork = ILMemoryPool.Pool.New<double>(lrwork);
1254            lwork = (int) work[0];
1255            work = ILMemoryPool.Pool.New<complex>(lwork);
1256            liwork = (int) iwork[0];
1257            iwork = ILMemoryPool.Pool.New<int>(liwork);
1258            lapack_zheevr(ref jobz,ref range,ref uplo,ref n, A,ref lda, ref vl, ref vu, ref il, ref iu, ref abstol,ref m, w,z,ref ldz,isuppz, work,ref lwork,rwork,ref lrwork,iwork,ref liwork,ref info);
1259            ILMemoryPool.Pool.Free(rwork);
1260            ILMemoryPool.Pool.Free(work);
1261            ILMemoryPool.Pool.Free(iwork);
1262            if (info != 0) {
1263                throw new ILArgumentException("?syevr: error returned from lapack: " + info);
1264            }
1265        }
1266        #endregion
1267
1268        #region ?[he/sy]gv - generalized eigenproblem
1269        public void dsygv (int itype, char jobz, char uplo, int n, double  [] A, int lda, double  [] B, int ldb, double [] w, ref int info) {
1270            // query workspace
1271            int lwork = -1;
1272            double [] work = new double[1] {0.0};
1273            lapack_dsygv (ref itype,ref jobz,ref uplo,ref n, A,ref lda, B,ref ldb, w, work, ref lwork, ref info);
1274            if (info != 0 || work[0] <= 0.0) return;
1275            // create temporary array(s)
1276            lwork = (int) work[0];
1277            work = ILMemoryPool.Pool.New<double>(lwork);
1278            lapack_dsygv (ref itype,ref jobz,ref uplo,ref n, A,ref lda, B,ref ldb, w, work, ref lwork, ref info);
1279            ILMemoryPool.Pool.Free(work);
1280        }       
1281        public void ssygv (int itype, char jobz, char uplo, int n, float   [] A, int lda, float   [] B, int ldb, float  [] w, ref int info) {
1282            // query workspace
1283            int lwork = -1;
1284            float [] work = new float[1] {0.0f};
1285            lapack_ssygv (ref itype,ref jobz,ref uplo,ref n, A,ref lda, B,ref ldb, w, work, ref lwork, ref info);
1286            if (info != 0 || work[0] <= 0.0) return;
1287            // create temporary array(s)
1288            lwork = (int) work[0];
1289            work = ILMemoryPool.Pool.New<float>(lwork);
1290            lapack_ssygv (ref itype,ref jobz,ref uplo,ref n, A,ref lda, B,ref ldb, w, work, ref lwork, ref info);
1291            ILMemoryPool.Pool.Free(work);
1292        }
1293        public void chegv (int itype, char jobz, char uplo, int n, fcomplex[] A, int lda, fcomplex[] B, int ldb, float  [] w, ref int info) {
1294            int lwork = (int)Math.Max(1,2*n-1); bool dummy;
1295            float [] rwork = ILMemoryPool.Pool.New<float>(Math.Max(1,3*n-2),false, out dummy);
1296            fcomplex [] work = ILMemoryPool.Pool.New<fcomplex>(lwork,false, out dummy);
1297            // NOTE: this implementation of LAPACK (netlib.org, not optimized) seems to overwrite B even if only a workspace query is assumed.
1298            // therefore this hack uses the (may not optimal efficiently) working size 2*n-1 for computation.
1299            lapack_chegv(ref itype,ref  jobz,ref  uplo,ref  n, A,ref  lda, B,ref  ldb, w, work, ref lwork, rwork, ref info);
1300            ILMemoryPool.Pool.Free(rwork);
1301            ILMemoryPool.Pool.Free(work);
1302        }
1303        public void zhegv (int itype, char jobz, char uplo, int n, complex [] A, int lda, complex [] B, int ldb, double [] w, ref int info) {
1304            // NOTE: this implementation of LAPACK (netlib.org, not optimized) seems to overwrite B even if only a workspace query is assumed.
1305            // therefore this hack uses the (may not optimal efficiently) working size 2*n-1 for computation.
1306            int lwork = (int)Math.Max(1,2*n-1); bool dummy;
1307            double [] rwork = ILMemoryPool.Pool.New<double>(Math.Max(1,3*n-2));
1308            complex [] work = ILMemoryPool.Pool.New<complex>(lwork,false, out dummy);
1309            lapack_zhegv(ref itype,ref  jobz,ref  uplo,ref  n, A,ref  lda, B,ref  ldb, w, work, ref lwork, rwork, ref info);
1310            ILMemoryPool.Pool.Free(rwork);
1311            ILMemoryPool.Pool.Free(work);
1312        }
1313        #endregion
1314
1315        #endregion
1316   }
1317}
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