1 /*
2 * Copyright (c) 2009, 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 #ifndef CXXBLAS_LEVEL2_HER_TCC
34 #define CXXBLAS_LEVEL2_HER_TCC 1
35
36 #include <complex>
37 #include <cxxblas/level1/level1.h>
38
39 namespace cxxblas {
40
41 template <typename IndexType, typename ALPHA, typename VX, typename MA>
42 void
43 her_generic(StorageOrder order, StorageUpLo upLo, Transpose conjugateA,
44 IndexType n,
45 const ALPHA &alpha,
46 const VX *x, IndexType incX,
47 MA *A, IndexType ldA)
48 {
49 if (alpha==ALPHA(0)) {
50 return;
51 }
52 if (order==ColMajor) {
53 upLo = (upLo==Upper) ? Lower : Upper;
54 conjugateA = Transpose(conjugateA^Conj);
55 }
56 #ifdef CXXBLAS_USE_XERBLA
57 // insert error check here
58 #endif
59 if (upLo==Upper) {
60 if (conjugateA==Conj) {
61 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
62 axpy_generic(n-i, alpha*conjugate(x[iX]),
63 x+iX, incX,
64 A+i*(ldA+1), IndexType(1));
65 }
66 } else {
67 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
68 acxpy_generic(n-i, alpha*x[iX],
69 x+iX, incX,
70 A+i*(ldA+1), IndexType(1));
71 }
72 }
73 } else {
74 if (conjugateA==Conj) {
75 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
76 axpy_generic(i+1, alpha*conjugate(x[iX]),
77 x, incX,
78 A+i*ldA, IndexType(1));
79 }
80 } else {
81 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
82 acxpy_generic(i+1, alpha*x[iX],
83 x, incX,
84 A+i*ldA, IndexType(1));
85 }
86 }
87 }
88 for (IndexType i=0; i<n; ++i) {
89 A[i*ldA+i] = cxxblas::real(A[i*ldA+i]);
90 }
91 }
92
93 template <typename IndexType, typename ALPHA, typename VX, typename MA>
94 void
95 her(StorageOrder order, StorageUpLo upLo,
96 IndexType n,
97 const ALPHA &alpha,
98 const VX *x, IndexType incX,
99 MA *A, IndexType ldA)
100 {
101 CXXBLAS_DEBUG_OUT("her_generic");
102
103 if (incX<0) {
104 x -= incX*(n-1);
105 }
106 her_generic(order, upLo, NoTrans, n, alpha, x, incX, A, ldA);
107 }
108
109 } // namespace cxxblas
110
111 #endif // CXXBLAS_LEVEL2_HER_TCC
2 * Copyright (c) 2009, 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 #ifndef CXXBLAS_LEVEL2_HER_TCC
34 #define CXXBLAS_LEVEL2_HER_TCC 1
35
36 #include <complex>
37 #include <cxxblas/level1/level1.h>
38
39 namespace cxxblas {
40
41 template <typename IndexType, typename ALPHA, typename VX, typename MA>
42 void
43 her_generic(StorageOrder order, StorageUpLo upLo, Transpose conjugateA,
44 IndexType n,
45 const ALPHA &alpha,
46 const VX *x, IndexType incX,
47 MA *A, IndexType ldA)
48 {
49 if (alpha==ALPHA(0)) {
50 return;
51 }
52 if (order==ColMajor) {
53 upLo = (upLo==Upper) ? Lower : Upper;
54 conjugateA = Transpose(conjugateA^Conj);
55 }
56 #ifdef CXXBLAS_USE_XERBLA
57 // insert error check here
58 #endif
59 if (upLo==Upper) {
60 if (conjugateA==Conj) {
61 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
62 axpy_generic(n-i, alpha*conjugate(x[iX]),
63 x+iX, incX,
64 A+i*(ldA+1), IndexType(1));
65 }
66 } else {
67 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
68 acxpy_generic(n-i, alpha*x[iX],
69 x+iX, incX,
70 A+i*(ldA+1), IndexType(1));
71 }
72 }
73 } else {
74 if (conjugateA==Conj) {
75 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
76 axpy_generic(i+1, alpha*conjugate(x[iX]),
77 x, incX,
78 A+i*ldA, IndexType(1));
79 }
80 } else {
81 for (IndexType i=0, iX=0; i<n; ++i, iX+=incX) {
82 acxpy_generic(i+1, alpha*x[iX],
83 x, incX,
84 A+i*ldA, IndexType(1));
85 }
86 }
87 }
88 for (IndexType i=0; i<n; ++i) {
89 A[i*ldA+i] = cxxblas::real(A[i*ldA+i]);
90 }
91 }
92
93 template <typename IndexType, typename ALPHA, typename VX, typename MA>
94 void
95 her(StorageOrder order, StorageUpLo upLo,
96 IndexType n,
97 const ALPHA &alpha,
98 const VX *x, IndexType incX,
99 MA *A, IndexType ldA)
100 {
101 CXXBLAS_DEBUG_OUT("her_generic");
102
103 if (incX<0) {
104 x -= incX*(n-1);
105 }
106 her_generic(order, upLo, NoTrans, n, alpha, x, incX, A, ldA);
107 }
108
109 } // namespace cxxblas
110
111 #endif // CXXBLAS_LEVEL2_HER_TCC