sparse_permutations.cpp
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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2011-2015 Gael Guennebaud <gael.guennebaud@inria.fr>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 
11 static long int nb_transposed_copies;
12 #define EIGEN_SPARSE_TRANSPOSED_COPY_PLUGIN {nb_transposed_copies++;}
13 #define VERIFY_TRANSPOSITION_COUNT(XPR,N) {\
14  nb_transposed_copies = 0; \
15  XPR; \
16  if(nb_transposed_copies!=N) std::cerr << "nb_transposed_copies == " << nb_transposed_copies << "\n"; \
17  VERIFY( (#XPR) && nb_transposed_copies==N ); \
18  }
19 
20 #include "sparse.h"
21 
22 template<typename T>
23 bool is_sorted(const T& mat) {
24  for(Index k = 0; k<mat.outerSize(); ++k)
25  {
26  Index prev = -1;
27  for(typename T::InnerIterator it(mat,k); it; ++it)
28  {
29  if(prev>=it.index())
30  return false;
31  prev = it.index();
32  }
33  }
34  return true;
35 }
36 
37 template<typename T>
38 typename internal::nested_eval<T,1>::type eval(const T &xpr)
39 {
40  VERIFY( int(internal::nested_eval<T,1>::type::Flags&RowMajorBit) == int(internal::evaluator<T>::Flags&RowMajorBit) );
41  return xpr;
42 }
43 
44 template<int OtherStorage, typename SparseMatrixType> void sparse_permutations(const SparseMatrixType& ref)
45 {
46  const Index rows = ref.rows();
47  const Index cols = ref.cols();
48  typedef typename SparseMatrixType::Scalar Scalar;
49  typedef typename SparseMatrixType::StorageIndex StorageIndex;
50  typedef SparseMatrix<Scalar, OtherStorage, StorageIndex> OtherSparseMatrixType;
51  typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
52  typedef Matrix<StorageIndex,Dynamic,1> VectorI;
53 // bool IsRowMajor1 = SparseMatrixType::IsRowMajor;
54 // bool IsRowMajor2 = OtherSparseMatrixType::IsRowMajor;
55 
56  double density = (std::max)(8./(rows*cols), 0.01);
57 
58  SparseMatrixType mat(rows, cols), up(rows,cols), lo(rows,cols);
59  OtherSparseMatrixType res;
60  DenseMatrix mat_d = DenseMatrix::Zero(rows, cols), up_sym_d, lo_sym_d, res_d;
61 
62  initSparse<Scalar>(density, mat_d, mat, 0);
63 
64  up = mat.template triangularView<Upper>();
65  lo = mat.template triangularView<Lower>();
66 
67  up_sym_d = mat_d.template selfadjointView<Upper>();
68  lo_sym_d = mat_d.template selfadjointView<Lower>();
69 
70  VERIFY_IS_APPROX(mat, mat_d);
71  VERIFY_IS_APPROX(up, DenseMatrix(mat_d.template triangularView<Upper>()));
72  VERIFY_IS_APPROX(lo, DenseMatrix(mat_d.template triangularView<Lower>()));
73 
74  PermutationMatrix<Dynamic> p, p_null;
75  VectorI pi;
76  randomPermutationVector(pi, cols);
77  p.indices() = pi;
78 
79  VERIFY( is_sorted( ::eval(mat*p) ));
80  VERIFY( is_sorted( res = mat*p ));
81  VERIFY_TRANSPOSITION_COUNT( ::eval(mat*p), 0);
82  //VERIFY_TRANSPOSITION_COUNT( res = mat*p, IsRowMajor ? 1 : 0 );
83  res_d = mat_d*p;
84  VERIFY(res.isApprox(res_d) && "mat*p");
85 
86  VERIFY( is_sorted( ::eval(p*mat) ));
87  VERIFY( is_sorted( res = p*mat ));
88  VERIFY_TRANSPOSITION_COUNT( ::eval(p*mat), 0);
89  res_d = p*mat_d;
90  VERIFY(res.isApprox(res_d) && "p*mat");
91 
92  VERIFY( is_sorted( (mat*p).eval() ));
93  VERIFY( is_sorted( res = mat*p.inverse() ));
94  VERIFY_TRANSPOSITION_COUNT( ::eval(mat*p.inverse()), 0);
95  res_d = mat*p.inverse();
96  VERIFY(res.isApprox(res_d) && "mat*inv(p)");
97 
98  VERIFY( is_sorted( (p*mat+p*mat).eval() ));
99  VERIFY( is_sorted( res = p.inverse()*mat ));
100  VERIFY_TRANSPOSITION_COUNT( ::eval(p.inverse()*mat), 0);
101  res_d = p.inverse()*mat_d;
102  VERIFY(res.isApprox(res_d) && "inv(p)*mat");
103 
104  VERIFY( is_sorted( (p * mat * p.inverse()).eval() ));
105  VERIFY( is_sorted( res = mat.twistedBy(p) ));
106  VERIFY_TRANSPOSITION_COUNT( ::eval(p * mat * p.inverse()), 0);
107  res_d = (p * mat_d) * p.inverse();
108  VERIFY(res.isApprox(res_d) && "p*mat*inv(p)");
109 
110 
111  VERIFY( is_sorted( res = mat.template selfadjointView<Upper>().twistedBy(p_null) ));
112  res_d = up_sym_d;
113  VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full");
114 
115  VERIFY( is_sorted( res = mat.template selfadjointView<Lower>().twistedBy(p_null) ));
116  res_d = lo_sym_d;
117  VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full");
118 
119 
120  VERIFY( is_sorted( res = up.template selfadjointView<Upper>().twistedBy(p_null) ));
121  res_d = up_sym_d;
122  VERIFY(res.isApprox(res_d) && "upper selfadjoint to full");
123 
124  VERIFY( is_sorted( res = lo.template selfadjointView<Lower>().twistedBy(p_null) ));
125  res_d = lo_sym_d;
126  VERIFY(res.isApprox(res_d) && "lower selfadjoint full");
127 
128 
129  VERIFY( is_sorted( res = mat.template selfadjointView<Upper>() ));
130  res_d = up_sym_d;
131  VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full");
132 
133  VERIFY( is_sorted( res = mat.template selfadjointView<Lower>() ));
134  res_d = lo_sym_d;
135  VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full");
136 
137  VERIFY( is_sorted( res = up.template selfadjointView<Upper>() ));
138  res_d = up_sym_d;
139  VERIFY(res.isApprox(res_d) && "upper selfadjoint to full");
140 
141  VERIFY( is_sorted( res = lo.template selfadjointView<Lower>() ));
142  res_d = lo_sym_d;
143  VERIFY(res.isApprox(res_d) && "lower selfadjoint full");
144 
145 
146  res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>();
147  res_d = up_sym_d.template triangularView<Upper>();
148  VERIFY(res.isApprox(res_d) && "full selfadjoint upper to upper");
149 
150  res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>();
151  res_d = up_sym_d.template triangularView<Lower>();
152  VERIFY(res.isApprox(res_d) && "full selfadjoint upper to lower");
153 
154  res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>();
155  res_d = lo_sym_d.template triangularView<Upper>();
156  VERIFY(res.isApprox(res_d) && "full selfadjoint lower to upper");
157 
158  res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>();
159  res_d = lo_sym_d.template triangularView<Lower>();
160  VERIFY(res.isApprox(res_d) && "full selfadjoint lower to lower");
161 
162 
163 
164  res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>().twistedBy(p);
165  res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>();
166  VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to upper");
167 
168  res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>().twistedBy(p);
169  res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>();
170  VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to upper");
171 
172  res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>().twistedBy(p);
173  res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>();
174  VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to lower");
175 
176  res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>().twistedBy(p);
177  res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>();
178  VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to lower");
179 
180 
181  res.template selfadjointView<Upper>() = up.template selfadjointView<Upper>().twistedBy(p);
182  res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>();
183  VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to upper");
184 
185  res.template selfadjointView<Upper>() = lo.template selfadjointView<Lower>().twistedBy(p);
186  res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>();
187  VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to upper");
188 
189  res.template selfadjointView<Lower>() = lo.template selfadjointView<Lower>().twistedBy(p);
190  res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>();
191  VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to lower");
192 
193  res.template selfadjointView<Lower>() = up.template selfadjointView<Upper>().twistedBy(p);
194  res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>();
195  VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to lower");
196 
197 
198  VERIFY( is_sorted( res = mat.template selfadjointView<Upper>().twistedBy(p) ));
199  res_d = (p * up_sym_d) * p.inverse();
200  VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to full");
201 
202  VERIFY( is_sorted( res = mat.template selfadjointView<Lower>().twistedBy(p) ));
203  res_d = (p * lo_sym_d) * p.inverse();
204  VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to full");
205 
206  VERIFY( is_sorted( res = up.template selfadjointView<Upper>().twistedBy(p) ));
207  res_d = (p * up_sym_d) * p.inverse();
208  VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to full");
209 
210  VERIFY( is_sorted( res = lo.template selfadjointView<Lower>().twistedBy(p) ));
211  res_d = (p * lo_sym_d) * p.inverse();
212  VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to full");
213 }
214 
215 template<typename Scalar> void sparse_permutations_all(int size)
216 {
217  CALL_SUBTEST(( sparse_permutations<ColMajor>(SparseMatrix<Scalar, ColMajor>(size,size)) ));
218  CALL_SUBTEST(( sparse_permutations<ColMajor>(SparseMatrix<Scalar, RowMajor>(size,size)) ));
219  CALL_SUBTEST(( sparse_permutations<RowMajor>(SparseMatrix<Scalar, ColMajor>(size,size)) ));
220  CALL_SUBTEST(( sparse_permutations<RowMajor>(SparseMatrix<Scalar, RowMajor>(size,size)) ));
221 }
222 
223 EIGEN_DECLARE_TEST(sparse_permutations)
224 {
225  for(int i = 0; i < g_repeat; i++) {
226  int s = Eigen::internal::random<int>(1,50);
227  CALL_SUBTEST_1(( sparse_permutations_all<double>(s) ));
228  CALL_SUBTEST_2(( sparse_permutations_all<std::complex<double> >(s) ));
229  }
230 
231  VERIFY((internal::is_same<internal::permutation_matrix_product<SparseMatrix<double>,OnTheRight,false,SparseShape>::ReturnType,
232  internal::nested_eval<Product<SparseMatrix<double>,PermutationMatrix<Dynamic,Dynamic>,AliasFreeProduct>,1>::type>::value));
233 
234  VERIFY((internal::is_same<internal::permutation_matrix_product<SparseMatrix<double>,OnTheLeft,false,SparseShape>::ReturnType,
235  internal::nested_eval<Product<PermutationMatrix<Dynamic,Dynamic>,SparseMatrix<double>,AliasFreeProduct>,1>::type>::value));
236 }
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