ViennaCL - The Vienna Computing Library  1.7.1
Free open-source GPU-accelerated linear algebra and solver library.
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blas3.cpp
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1 /* =========================================================================
2  Copyright (c) 2010-2014, Institute for Microelectronics,
3  Institute for Analysis and Scientific Computing,
4  TU Wien.
5  Portions of this software are copyright by UChicago Argonne, LLC.
6 
7  -----------------
8  ViennaCL - The Vienna Computing Library
9  -----------------
10 
11  Project Head: Karl Rupp rupp@iue.tuwien.ac.at
12 
13  (A list of authors and contributors can be found in the PDF manual)
14 
15  License: MIT (X11), see file LICENSE in the base directory
16 ============================================================================= */
17 
18 // include necessary system headers
19 #include <iostream>
20 
21 #include "viennacl.hpp"
22 #include "viennacl_private.hpp"
23 
24 #include "init_matrix.hpp"
25 
26 //include basic scalar and vector types of ViennaCL
27 #include "viennacl/scalar.hpp"
28 #include "viennacl/vector.hpp"
29 #include "viennacl/matrix.hpp"
30 #include "viennacl/linalg/direct_solve.hpp"
31 #include "viennacl/linalg/prod.hpp"
32 
33 // GEMV
34 
35 VIENNACL_EXPORTED_FUNCTION ViennaCLStatus ViennaCLgemm(ViennaCLHostScalar alpha, ViennaCLMatrix A, ViennaCLMatrix B, ViennaCLHostScalar beta, ViennaCLMatrix C)
36 {
37  viennacl::backend::mem_handle A_handle;
38  viennacl::backend::mem_handle B_handle;
39  viennacl::backend::mem_handle C_handle;
40 
41  if (init_matrix(A_handle, A) != ViennaCLSuccess)
42  return ViennaCLGenericFailure;
43 
44  if (init_matrix(B_handle, B) != ViennaCLSuccess)
45  return ViennaCLGenericFailure;
46 
47  if (init_matrix(C_handle, C) != ViennaCLSuccess)
48  return ViennaCLGenericFailure;
49 
50  switch (A->precision)
51  {
52  case ViennaCLFloat:
53  {
54  typedef viennacl::matrix_base<float>::size_type size_type;
55  typedef viennacl::matrix_base<float>::size_type difference_type;
56 
57  viennacl::matrix_base<float> mat_A(A_handle,
58  size_type(A->size1), size_type(A->start1), difference_type(A->stride1), size_type(A->internal_size1),
59  size_type(A->size2), size_type(A->start2), difference_type(A->stride2), size_type(A->internal_size2), A->order == ViennaCLRowMajor);
60  viennacl::matrix_base<float> mat_B(B_handle,
61  size_type(B->size1), size_type(B->start1), difference_type(B->stride1), size_type(B->internal_size1),
62  size_type(B->size2), size_type(B->start2), difference_type(B->stride2), size_type(B->internal_size2), B->order == ViennaCLRowMajor);
63  viennacl::matrix_base<float> mat_C(C_handle,
64  size_type(C->size1), size_type(C->start1), difference_type(C->stride1), size_type(C->internal_size1),
65  size_type(C->size2), size_type(C->start2), difference_type(C->stride2), size_type(C->internal_size2), C->order == ViennaCLRowMajor);
66 
67  if (A->trans == ViennaCLTrans && B->trans == ViennaCLTrans)
68  viennacl::linalg::prod_impl(viennacl::trans(mat_A), viennacl::trans(mat_B), mat_C, alpha->value_float, beta->value_float);
69  else if (A->trans == ViennaCLTrans && B->trans == ViennaCLNoTrans)
70  viennacl::linalg::prod_impl(viennacl::trans(mat_A), mat_B, mat_C, alpha->value_float, beta->value_float);
71  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLTrans)
72  viennacl::linalg::prod_impl(mat_A, viennacl::trans(mat_B), mat_C, alpha->value_float, beta->value_float);
73  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLNoTrans)
74  viennacl::linalg::prod_impl(mat_A, mat_B, mat_C, alpha->value_float, beta->value_float);
75  else
76  return ViennaCLGenericFailure;
77 
78  return ViennaCLSuccess;
79  }
80 
81  case ViennaCLDouble:
82  {
83  typedef viennacl::matrix_base<double>::size_type size_type;
84  typedef viennacl::matrix_base<double>::size_type difference_type;
85 
86  viennacl::matrix_base<double> mat_A(A_handle,
87  size_type(A->size1), size_type(A->start1), difference_type(A->stride1), size_type(A->internal_size1),
88  size_type(A->size2), size_type(A->start2), difference_type(A->stride2), size_type(A->internal_size2), A->order == ViennaCLRowMajor);
89  viennacl::matrix_base<double> mat_B(B_handle,
90  size_type(B->size1), size_type(B->start1), difference_type(B->stride1), size_type(B->internal_size1),
91  size_type(B->size2), size_type(B->start2), difference_type(B->stride2), size_type(B->internal_size2), B->order == ViennaCLRowMajor);
92  viennacl::matrix_base<double> mat_C(C_handle,
93  size_type(C->size1), size_type(C->start1), difference_type(C->stride1), size_type(C->internal_size1),
94  size_type(C->size2), size_type(C->start2), difference_type(C->stride2), size_type(C->internal_size2), C->order == ViennaCLRowMajor);
95 
96  if (A->trans == ViennaCLTrans && B->trans == ViennaCLTrans)
97  viennacl::linalg::prod_impl(viennacl::trans(mat_A), viennacl::trans(mat_B), mat_C, alpha->value_double, beta->value_double);
98  else if (A->trans == ViennaCLTrans && B->trans == ViennaCLNoTrans)
99  viennacl::linalg::prod_impl(viennacl::trans(mat_A), mat_B, mat_C, alpha->value_double, beta->value_double);
100  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLTrans)
101  viennacl::linalg::prod_impl(mat_A, viennacl::trans(mat_B), mat_C, alpha->value_double, beta->value_double);
102  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLNoTrans)
103  viennacl::linalg::prod_impl(mat_A, mat_B, mat_C, alpha->value_double, beta->value_double);
104  else
105  return ViennaCLGenericFailure;
106 
107  return ViennaCLSuccess;
108  }
109 
110  default:
111  return ViennaCLGenericFailure;
112  }
113 }
114 
115 
116 // xTRSV
117 
118 VIENNACL_EXPORTED_FUNCTION ViennaCLStatus ViennaCLtrsm(ViennaCLMatrix A, ViennaCLUplo uplo, ViennaCLDiag diag, ViennaCLMatrix B)
119 {
120  viennacl::backend::mem_handle A_handle;
121  viennacl::backend::mem_handle B_handle;
122 
123  if (init_matrix(A_handle, A) != ViennaCLSuccess)
124  return ViennaCLGenericFailure;
125 
126  if (init_matrix(B_handle, B) != ViennaCLSuccess)
127  return ViennaCLGenericFailure;
128 
129  switch (A->precision)
130  {
131  case ViennaCLFloat:
132  {
133  typedef viennacl::matrix_base<float>::size_type size_type;
134  typedef viennacl::matrix_base<float>::size_type difference_type;
135 
136  viennacl::matrix_base<float> mat_A(A_handle,
137  size_type(A->size1), size_type(A->start1), difference_type(A->stride1), size_type(A->internal_size1),
138  size_type(A->size2), size_type(A->start2), difference_type(A->stride2), size_type(A->internal_size2), A->order == ViennaCLRowMajor);
139  viennacl::matrix_base<float> mat_B(B_handle,
140  size_type(B->size1), size_type(B->start1), difference_type(B->stride1), size_type(B->internal_size1),
141  size_type(B->size2), size_type(B->start2), difference_type(B->stride2), size_type(B->internal_size2), B->order == ViennaCLRowMajor);
142 
143  if (A->trans == ViennaCLTrans && B->trans == ViennaCLTrans)
144  {
145  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
146  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::upper_tag());
147  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
148  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_upper_tag());
149  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
150  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::lower_tag());
151  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
152  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_lower_tag());
153  else
154  return ViennaCLGenericFailure;
155  }
156  else if (A->trans == ViennaCLTrans && B->trans == ViennaCLNoTrans)
157  {
158  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
159  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::upper_tag());
160  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
161  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::unit_upper_tag());
162  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
163  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::lower_tag());
164  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
165  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::unit_lower_tag());
166  else
167  return ViennaCLGenericFailure;
168  }
169  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLTrans)
170  {
171  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
172  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::upper_tag());
173  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
174  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_upper_tag());
175  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
176  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::lower_tag());
177  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
178  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_lower_tag());
179  else
180  return ViennaCLGenericFailure;
181  }
182  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLNoTrans)
183  {
184  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
185  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::upper_tag());
186  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
187  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::unit_upper_tag());
188  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
189  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::lower_tag());
190  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
191  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::unit_lower_tag());
192  else
193  return ViennaCLGenericFailure;
194  }
195 
196  return ViennaCLSuccess;
197  }
198  case ViennaCLDouble:
199  {
200  typedef viennacl::matrix_base<double>::size_type size_type;
201  typedef viennacl::matrix_base<double>::size_type difference_type;
202 
203  viennacl::matrix_base<double> mat_A(A_handle,
204  size_type(A->size1), size_type(A->start1), difference_type(A->stride1), size_type(A->internal_size1),
205  size_type(A->size2), size_type(A->start2), difference_type(A->stride2), size_type(A->internal_size2), A->order == ViennaCLRowMajor);
206  viennacl::matrix_base<double> mat_B(B_handle,
207  size_type(B->size1), size_type(B->start1), difference_type(B->stride1), size_type(B->internal_size1),
208  size_type(B->size2), size_type(B->start2), difference_type(B->stride2), size_type(B->internal_size2), B->order == ViennaCLRowMajor);
209 
210  if (A->trans == ViennaCLTrans && B->trans == ViennaCLTrans)
211  {
212  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
213  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::upper_tag());
214  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
215  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_upper_tag());
216  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
217  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::lower_tag());
218  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
219  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_lower_tag());
220  else
221  return ViennaCLGenericFailure;
222  }
223  else if (A->trans == ViennaCLTrans && B->trans == ViennaCLNoTrans)
224  {
225  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
226  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::upper_tag());
227  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
228  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::unit_upper_tag());
229  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
230  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::lower_tag());
231  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
232  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), mat_B, viennacl::linalg::unit_lower_tag());
233  else
234  return ViennaCLGenericFailure;
235  }
236  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLTrans)
237  {
238  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
239  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::upper_tag());
240  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
241  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_upper_tag());
242  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
243  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::lower_tag());
244  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
245  viennacl::linalg::inplace_solve(viennacl::trans(mat_A), viennacl::trans(mat_B), viennacl::linalg::unit_lower_tag());
246  else
247  return ViennaCLGenericFailure;
248  }
249  else if (A->trans == ViennaCLNoTrans && B->trans == ViennaCLNoTrans)
250  {
251  if (uplo == ViennaCLUpper && diag == ViennaCLNonUnit)
252  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::upper_tag());
253  else if (uplo == ViennaCLUpper && diag == ViennaCLUnit)
254  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::unit_upper_tag());
255  else if (uplo == ViennaCLLower && diag == ViennaCLNonUnit)
256  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::lower_tag());
257  else if (uplo == ViennaCLLower && diag == ViennaCLUnit)
258  viennacl::linalg::inplace_solve(mat_A, mat_B, viennacl::linalg::unit_lower_tag());
259  else
260  return ViennaCLGenericFailure;
261  }
262 
263  return ViennaCLSuccess;
264  }
265 
266  default:
267  return ViennaCLGenericFailure;
268  }
269 }
270 
271 
272 
viennacl::linalg::inplace_solve
void inplace_solve(const matrix_base< NumericT > &A, matrix_base< NumericT > &B, SolverTagT)
Direct inplace solver for triangular systems with multiple right hand sides, i.e. A \ B (MATLAB notat...
Definition: direct_solve.hpp:217
viennacl::trans
viennacl::enable_if< viennacl::is_any_sparse_matrix< M1 >::value, matrix_expression< const M1, const M1, op_trans > >::type trans(const M1 &mat)
Returns an expression template class representing a transposed matrix.
Definition: sparse_matrix_operations.hpp:376
viennacl::matrix_base::size_type
SizeT size_type
Definition: matrix_def.hpp:112
ViennaCLHostScalar_impl::value_float
float value_float
Definition: viennacl_private.hpp:72
prod.hpp
Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...
ViennaCLMatrix_impl::start1
ViennaCLInt start1
Definition: viennacl_private.hpp:130
matrix.hpp
Implementation of the dense matrix class.
ViennaCLMatrix_impl::stride2
ViennaCLInt stride2
Definition: viennacl_private.hpp:136
viennacl::linalg::lower_tag
A tag class representing a lower triangular matrix.
Definition: forwards.h:849
viennacl::matrix_base< float >
ViennaCLgemm
VIENNACL_EXPORTED_FUNCTION ViennaCLStatus ViennaCLgemm(ViennaCLHostScalar alpha, ViennaCLMatrix A, ViennaCLMatrix B, ViennaCLHostScalar beta, ViennaCLMatrix C)
Definition: blas3.cpp:35
ViennaCLDiag
ViennaCLDiag
Definition: viennacl.hpp:82
ViennaCLStatus
ViennaCLStatus
Definition: viennacl.hpp:97
ViennaCLMatrix_impl::internal_size2
ViennaCLInt internal_size2
Definition: viennacl_private.hpp:137
ViennaCLMatrix_impl::order
ViennaCLOrder order
Definition: viennacl_private.hpp:117
VIENNACL_EXPORTED_FUNCTION
#define VIENNACL_EXPORTED_FUNCTION
Definition: viennacl.hpp:40
ViennaCLMatrix_impl
Definition: viennacl_private.hpp:113
ViennaCLtrsm
VIENNACL_EXPORTED_FUNCTION ViennaCLStatus ViennaCLtrsm(ViennaCLMatrix A, ViennaCLUplo uplo, ViennaCLDiag diag, ViennaCLMatrix B)
Definition: blas3.cpp:118
viennacl_private.hpp
init_matrix.hpp
ViennaCLMatrix_impl::stride1
ViennaCLInt stride1
Definition: viennacl_private.hpp:131
ViennaCLUplo
ViennaCLUplo
Definition: viennacl.hpp:75
viennacl::linalg::upper_tag
A tag class representing an upper triangular matrix.
Definition: forwards.h:854
ViennaCLMatrix_impl::start2
ViennaCLInt start2
Definition: viennacl_private.hpp:135
ViennaCLMatrix_impl::size1
ViennaCLInt size1
Definition: viennacl_private.hpp:129
ViennaCLMatrix_impl::internal_size1
ViennaCLInt internal_size1
Definition: viennacl_private.hpp:132
viennacl::diag
vector_expression< const matrix_base< NumericT >, const int, op_matrix_diag > diag(const matrix_base< NumericT > &A, int k=0)
Definition: matrix.hpp:895
direct_solve.hpp
Implementations of dense direct solvers are found here.
ViennaCLHostScalar_impl
Definition: viennacl_private.hpp:67
vector.hpp
The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...
ViennaCLMatrix_impl::size2
ViennaCLInt size2
Definition: viennacl_private.hpp:134
viennacl::linalg::unit_lower_tag
A tag class representing a lower triangular matrix with unit diagonal.
Definition: forwards.h:859
viennacl::backend::mem_handle
Main abstraction class for multiple memory domains. Represents a buffer in either main RAM...
Definition: mem_handle.hpp:89
ViennaCLMatrix_impl::trans
ViennaCLTranspose trans
Definition: viennacl_private.hpp:118
ViennaCLMatrix_impl::precision
ViennaCLPrecision precision
Definition: viennacl_private.hpp:116
viennacl::linalg::prod_impl
void prod_impl(const matrix_base< NumericT > &mat, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
Carries out matrix-vector multiplication.
Definition: matrix_operations.hpp:438
scalar.hpp
Implementation of the ViennaCL scalar class.
ViennaCLHostScalar_impl::value_double
double value_double
Definition: viennacl_private.hpp:73
viennacl::linalg::unit_upper_tag
A tag class representing an upper triangular matrix with unit diagonal.
Definition: forwards.h:864