ViennaCL - The Vienna Computing Library  1.7.1
Free open-source GPU-accelerated linear algebra and solver library.
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mtl4-with-viennacl.cpp
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1 /* =========================================================================
2  Copyright (c) 2010-2016, 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 
26 // System headers
27 #include <iostream>
28 
29 
30 // MTL4 headers
31 #include <boost/numeric/mtl/mtl.hpp>
32 #include <boost/numeric/itl/itl.hpp>
33 
34 
35 // Must be set prior to any ViennaCL includes if you want to use ViennaCL algorithms on MTL4 objects
36 #define VIENNACL_WITH_MTL4 1
37 
38 
39 // ViennaCL headers
40 #include "viennacl/vector.hpp"
41 #include "viennacl/matrix.hpp"
43 
44 #include "viennacl/linalg/ilu.hpp"
45 #include "viennacl/linalg/cg.hpp"
48 
49 
50 // Some helper functions for this tutorial:
51 #include "vector-io.hpp"
52 
63 template<typename ScalarType>
64 void run_tutorial()
65 {
66  typedef mtl::dense2D<ScalarType> MTL4DenseMatrix;
67  typedef mtl::compressed2D<ScalarType> MTL4SparseMatrix;
68 
72  mtl::dense2D<ScalarType> mtl4_densemat(5, 5);
73  mtl::dense2D<ScalarType> mtl4_densemat2(5, 5);
74  mtl4_densemat(0,0) = 2.0; mtl4_densemat(0,1) = -1.0;
75  mtl4_densemat(1,0) = -1.0; mtl4_densemat(1,1) = 2.0; mtl4_densemat(1,2) = -1.0;
76  mtl4_densemat(2,1) = -1.0; mtl4_densemat(2,2) = -1.0; mtl4_densemat(2,3) = -1.0;
77  mtl4_densemat(3,2) = -1.0; mtl4_densemat(3,3) = 2.0; mtl4_densemat(3,4) = -1.0;
78  mtl4_densemat(4,4) = -1.0; mtl4_densemat(4,4) = -1.0;
79 
80 
84  MTL4SparseMatrix mtl4_sparsemat;
85  set_to_zero(mtl4_sparsemat);
86  mtl4_sparsemat.change_dim(5, 5);
87 
88  MTL4SparseMatrix mtl4_sparsemat2;
89  set_to_zero(mtl4_sparsemat2);
90  mtl4_sparsemat2.change_dim(5, 5);
91 
92  {
93  mtl::matrix::inserter< MTL4SparseMatrix > ins(mtl4_sparsemat);
94  typedef typename mtl::Collection<MTL4SparseMatrix>::value_type ValueType;
95  ins(0,0) << ValueType(2.0); ins(0,1) << ValueType(-1.0);
96  ins(1,1) << ValueType(2.0); ins(1,2) << ValueType(-1.0);
97  ins(2,2) << ValueType(-1.0); ins(2,3) << ValueType(-1.0);
98  ins(3,3) << ValueType(2.0); ins(3,4) << ValueType(-1.0);
99  ins(4,4) << ValueType(-1.0);
100  }
101 
105  mtl::dense_vector<ScalarType> mtl4_rhs(5, 0.0);
106  mtl::dense_vector<ScalarType> mtl4_result(5, 0.0);
107  mtl::dense_vector<ScalarType> mtl4_temp(5, 0.0);
108 
109 
110  mtl4_rhs(0) = 10.0;
111  mtl4_rhs(1) = 11.0;
112  mtl4_rhs(2) = 12.0;
113  mtl4_rhs(3) = 13.0;
114  mtl4_rhs(4) = 14.0;
115 
119  viennacl::vector<ScalarType> vcl_rhs(5);
120  viennacl::vector<ScalarType> vcl_result(5);
121  viennacl::matrix<ScalarType> vcl_densemat(5, 5);
122  viennacl::compressed_matrix<ScalarType> vcl_sparsemat(5, 5);
123 
127  viennacl::copy(&(mtl4_rhs[0]), &(mtl4_rhs[0]) + 5, vcl_rhs.begin()); //method 1: via iterator interface (cf. std::copy())
128  viennacl::copy(mtl4_rhs, vcl_rhs); //method 2: via built-in wrappers (convenience layer)
129 
130  viennacl::copy(mtl4_densemat, vcl_densemat);
131  viennacl::copy(mtl4_sparsemat, vcl_sparsemat);
132 
133  // For completeness: Copy matrices from ViennaCL back to Eigen:
134  viennacl::copy(vcl_densemat, mtl4_densemat2);
135  viennacl::copy(vcl_sparsemat, mtl4_sparsemat2);
136 
140  mtl4_result = mtl4_densemat * mtl4_rhs;
141  vcl_result = viennacl::linalg::prod(vcl_densemat, vcl_rhs);
142  viennacl::copy(vcl_result, mtl4_temp);
143  mtl4_result -= mtl4_temp;
144  std::cout << "Difference for dense matrix-vector product: " << mtl::two_norm(mtl4_result) << std::endl;
145  mtl4_result = mtl4_densemat2 * mtl4_rhs - mtl4_temp;
146  std::cout << "Difference for dense matrix-vector product (MTL4->ViennaCL->MTL4): "
147  << mtl::two_norm(mtl4_result) << std::endl;
148 
152  mtl4_result = mtl4_sparsemat * mtl4_rhs;
153  vcl_result = viennacl::linalg::prod(vcl_sparsemat, vcl_rhs);
154  viennacl::copy(vcl_result, mtl4_temp);
155  mtl4_result -= mtl4_temp;
156  std::cout << "Difference for sparse matrix-vector product: " << mtl::two_norm(mtl4_result) << std::endl;
157  mtl4_result = mtl4_sparsemat2 * mtl4_rhs - mtl4_temp;
158  std::cout << "Difference for sparse matrix-vector product (MTL4->ViennaCL->MTL4): "
159  << mtl::two_norm(mtl4_result) << std::endl;
160 
161 }
162 
163 
167 int main(int, char *[])
168 {
169  std::cout << "----------------------------------------------" << std::endl;
170  std::cout << "## Single precision" << std::endl;
171  std::cout << "----------------------------------------------" << std::endl;
172  run_tutorial<float>();
173 
174 #ifdef VIENNACL_HAVE_OPENCL
176 #endif
177  {
178  std::cout << "----------------------------------------------" << std::endl;
179  std::cout << "## Double precision" << std::endl;
180  std::cout << "----------------------------------------------" << std::endl;
181  run_tutorial<double>();
182  }
183 
187  std::cout << std::endl;
188  std::cout << "!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!" << std::endl;
189  std::cout << std::endl;
190 }
Implementation of the dense matrix class.
int main()
Definition: bisect.cpp:91
The stabilized bi-conjugate gradient method is implemented here.
A dense matrix class.
Definition: forwards.h:375
viennacl::ocl::device const & current_device()
Convenience function for returning the active device in the current context.
Definition: backend.hpp:351
VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)
Definition: prod.hpp:102
Implementations of the generalized minimum residual method are in this file.
Implementations of incomplete factorization preconditioners. Convenience header file.
Implementation of the compressed_matrix class.
bool double_support() const
ViennaCL convenience function: Returns true if the device supports double precision.
Definition: device.hpp:956
The conjugate gradient method is implemented here.
The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...
void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)
Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...
A sparse square matrix in compressed sparse rows format.