1 /*
2 * Copyright (c) 2011, Michael Lehn
3 *
4 * All rights reserved.
5 *
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions
8 * are met:
9 *
10 * 1) Redistributions of source code must retain the above copyright
11 * notice, this list of conditions and the following disclaimer.
12 * 2) Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
15 * distribution.
16 * 3) Neither the name of the FLENS development group nor the names of
17 * its contributors may be used to endorse or promote products derived
18 * from this software without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
21 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
22 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
23 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
24 * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
25 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
26 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
27 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
28 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
29 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
30 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
31 */
32
33 /* Based on
34 *
35 SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
36 *
37 * -- LAPACK auxiliary routine (version 3.3.0) --
38 * -- LAPACK is a software package provided by Univ. of Tennessee, --
39 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
40 * November 2010
41 */
42
43 #ifndef FLENS_LAPACK_AUX_LASCL_H
44 #define FLENS_LAPACK_AUX_LASCL_H 1
45
46
47 #include <flens/aux/aux.h>
48 #include <flens/matrixtypes/matrixtypes.h>
49 #include <flens/vectortypes/vectortypes.h>
50
51 namespace flens { namespace lapack {
52
53 namespace LASCL {
54
55 enum Type {
56 FullMatrix, // = 'G': A is a full matrix.
57 LowerTriangular, // = 'L': A is a lower triangular matrix.
58 UpperTriangular, // = 'U': A is an upper triangular matrix.
59 UpperHessenberg, // = 'H': A is an upper Hessenberg matrix.
60 SymmetricLowerBand, // = 'B': A is a symmetric band matrix with
61 // lower bandwidth KL and upper
62 // bandwidth KU and with the only
63 // the lower half stored.
64 SymmetricUpperBand, // = 'Q': A is a symmetric band matrix with
65 // lower bandwidth KL and upper
66 // bandwidth KU and with the only the
67 // upper half stored.
68 GeneralBand // = 'Z': A is a band matrix with lower
69 // bandwidth KL and upper bandwidth KU.
70 };
71
72 } // namespace LANGE
73
74 // TODO: provide an interface for different matrix types, i.e. GeMatrix,
75 // TrMatrix, SbMatrix, HessenbergMatrix, vector types and scalars
76 //-- lascl ---------------------------------------------------------------------
77 template <typename IndexType, typename T, typename MA>
78 typename RestrictTo<IsSame<typename MA::ElementType, T>::value, void>::Type
79 lascl(LASCL::Type type, IndexType kl, IndexType ku,
80 const T &cFrom, const T &cTo, MA &A);
81
82 template <typename IndexType, typename T, typename MA>
83 typename RestrictTo<IsSame<MA, T>::value, void>::Type
84 lascl(LASCL::Type type, IndexType kl, IndexType ku,
85 const T &cFrom, const T &cTo, MA &A);
86
87 //-- forwarding ----------------------------------------------------------------
88 template <typename IndexType, typename T, typename MA>
89 typename RestrictTo<IsSame<typename MA::ElementType, T>::value, void>::Type
90 lascl(LASCL::Type type, IndexType kl, IndexType ku,
91 const T &cFrom, const T &cTo, MA &&A);
92
93 template <typename IndexType, typename T, typename VX>
94 void
95 lascl(LASCL::Type type, IndexType kl, IndexType ku,
96 const T &cFrom, const T &cTo, DenseVector<VX> &x);
97
98 } } // namespace lapack, flens
99
100 #endif // FLENS_LAPACK_AUX_LASCL_H
2 * Copyright (c) 2011, Michael Lehn
3 *
4 * All rights reserved.
5 *
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions
8 * are met:
9 *
10 * 1) Redistributions of source code must retain the above copyright
11 * notice, this list of conditions and the following disclaimer.
12 * 2) Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
15 * distribution.
16 * 3) Neither the name of the FLENS development group nor the names of
17 * its contributors may be used to endorse or promote products derived
18 * from this software without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
21 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
22 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
23 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
24 * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
25 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
26 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
27 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
28 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
29 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
30 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
31 */
32
33 /* Based on
34 *
35 SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
36 *
37 * -- LAPACK auxiliary routine (version 3.3.0) --
38 * -- LAPACK is a software package provided by Univ. of Tennessee, --
39 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
40 * November 2010
41 */
42
43 #ifndef FLENS_LAPACK_AUX_LASCL_H
44 #define FLENS_LAPACK_AUX_LASCL_H 1
45
46
47 #include <flens/aux/aux.h>
48 #include <flens/matrixtypes/matrixtypes.h>
49 #include <flens/vectortypes/vectortypes.h>
50
51 namespace flens { namespace lapack {
52
53 namespace LASCL {
54
55 enum Type {
56 FullMatrix, // = 'G': A is a full matrix.
57 LowerTriangular, // = 'L': A is a lower triangular matrix.
58 UpperTriangular, // = 'U': A is an upper triangular matrix.
59 UpperHessenberg, // = 'H': A is an upper Hessenberg matrix.
60 SymmetricLowerBand, // = 'B': A is a symmetric band matrix with
61 // lower bandwidth KL and upper
62 // bandwidth KU and with the only
63 // the lower half stored.
64 SymmetricUpperBand, // = 'Q': A is a symmetric band matrix with
65 // lower bandwidth KL and upper
66 // bandwidth KU and with the only the
67 // upper half stored.
68 GeneralBand // = 'Z': A is a band matrix with lower
69 // bandwidth KL and upper bandwidth KU.
70 };
71
72 } // namespace LANGE
73
74 // TODO: provide an interface for different matrix types, i.e. GeMatrix,
75 // TrMatrix, SbMatrix, HessenbergMatrix, vector types and scalars
76 //-- lascl ---------------------------------------------------------------------
77 template <typename IndexType, typename T, typename MA>
78 typename RestrictTo<IsSame<typename MA::ElementType, T>::value, void>::Type
79 lascl(LASCL::Type type, IndexType kl, IndexType ku,
80 const T &cFrom, const T &cTo, MA &A);
81
82 template <typename IndexType, typename T, typename MA>
83 typename RestrictTo<IsSame<MA, T>::value, void>::Type
84 lascl(LASCL::Type type, IndexType kl, IndexType ku,
85 const T &cFrom, const T &cTo, MA &A);
86
87 //-- forwarding ----------------------------------------------------------------
88 template <typename IndexType, typename T, typename MA>
89 typename RestrictTo<IsSame<typename MA::ElementType, T>::value, void>::Type
90 lascl(LASCL::Type type, IndexType kl, IndexType ku,
91 const T &cFrom, const T &cTo, MA &&A);
92
93 template <typename IndexType, typename T, typename VX>
94 void
95 lascl(LASCL::Type type, IndexType kl, IndexType ku,
96 const T &cFrom, const T &cTo, DenseVector<VX> &x);
97
98 } } // namespace lapack, flens
99
100 #endif // FLENS_LAPACK_AUX_LASCL_H