ref.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) 20013 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 // This unit test cannot be easily written to work with EIGEN_DEFAULT_TO_ROW_MAJOR
11 #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
12 #undef EIGEN_DEFAULT_TO_ROW_MAJOR
13 #endif
14 
15 #define TEST_ENABLE_TEMPORARY_TRACKING
16 #define TEST_CHECK_STATIC_ASSERTIONS
17 #include "main.h"
18 
19 // test Ref.h
20 
21 // Deal with i387 extended precision
22 #if EIGEN_ARCH_i386 && !(EIGEN_ARCH_x86_64)
23 
24 #if EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_LEAST(4,4)
25 #pragma GCC optimize ("-ffloat-store")
26 #else
27 #undef VERIFY_IS_EQUAL
28 #define VERIFY_IS_EQUAL(X,Y) VERIFY_IS_APPROX(X,Y)
29 #endif
30 
31 #endif
32 
33 template<typename MatrixType> void ref_matrix(const MatrixType& m)
34 {
35  typedef typename MatrixType::Scalar Scalar;
36  typedef typename MatrixType::RealScalar RealScalar;
37  typedef Matrix<Scalar,Dynamic,Dynamic,MatrixType::Options> DynMatrixType;
38  typedef Matrix<RealScalar,Dynamic,Dynamic,MatrixType::Options> RealDynMatrixType;
39 
40  typedef Ref<MatrixType> RefMat;
41  typedef Ref<DynMatrixType> RefDynMat;
42  typedef Ref<const DynMatrixType> ConstRefDynMat;
43  typedef Ref<RealDynMatrixType , 0, Stride<Dynamic,Dynamic> > RefRealMatWithStride;
44 
45  Index rows = m.rows(), cols = m.cols();
46 
47  MatrixType m1 = MatrixType::Random(rows, cols),
48  m2 = m1;
49 
50  Index i = internal::random<Index>(0,rows-1);
51  Index j = internal::random<Index>(0,cols-1);
52  Index brows = internal::random<Index>(1,rows-i);
53  Index bcols = internal::random<Index>(1,cols-j);
54 
55  RefMat rm0 = m1;
56  VERIFY_IS_EQUAL(rm0, m1);
57  RefDynMat rm1 = m1;
58  VERIFY_IS_EQUAL(rm1, m1);
59  RefDynMat rm2 = m1.block(i,j,brows,bcols);
60  VERIFY_IS_EQUAL(rm2, m1.block(i,j,brows,bcols));
61  rm2.setOnes();
62  m2.block(i,j,brows,bcols).setOnes();
63  VERIFY_IS_EQUAL(m1, m2);
64 
65  m2.block(i,j,brows,bcols).setRandom();
66  rm2 = m2.block(i,j,brows,bcols);
67  VERIFY_IS_EQUAL(m1, m2);
68 
69  ConstRefDynMat rm3 = m1.block(i,j,brows,bcols);
70  m1.block(i,j,brows,bcols) *= 2;
71  m2.block(i,j,brows,bcols) *= 2;
72  VERIFY_IS_EQUAL(rm3, m2.block(i,j,brows,bcols));
73  RefRealMatWithStride rm4 = m1.real();
74  VERIFY_IS_EQUAL(rm4, m2.real());
75  rm4.array() += 1;
76  m2.real().array() += 1;
77  VERIFY_IS_EQUAL(m1, m2);
78 }
79 
80 template<typename VectorType> void ref_vector(const VectorType& m)
81 {
82  typedef typename VectorType::Scalar Scalar;
83  typedef typename VectorType::RealScalar RealScalar;
84  typedef Matrix<Scalar,Dynamic,1,VectorType::Options> DynMatrixType;
85  typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> MatrixType;
86  typedef Matrix<RealScalar,Dynamic,1,VectorType::Options> RealDynMatrixType;
87 
88  typedef Ref<VectorType> RefMat;
89  typedef Ref<DynMatrixType> RefDynMat;
90  typedef Ref<const DynMatrixType> ConstRefDynMat;
91  typedef Ref<RealDynMatrixType , 0, InnerStride<> > RefRealMatWithStride;
92  typedef Ref<DynMatrixType , 0, InnerStride<> > RefMatWithStride;
93 
94  Index size = m.size();
95 
96  VectorType v1 = VectorType::Random(size),
97  v2 = v1;
98  MatrixType mat1 = MatrixType::Random(size,size),
99  mat2 = mat1,
100  mat3 = MatrixType::Random(size,size);
101 
102  Index i = internal::random<Index>(0,size-1);
103  Index bsize = internal::random<Index>(1,size-i);
104 
105  { RefMat rm0 = v1; VERIFY_IS_EQUAL(rm0, v1); }
106  { RefMat rm0 = v1.block(0,0,size,1); VERIFY_IS_EQUAL(rm0, v1); }
107  { RefDynMat rv1 = v1; VERIFY_IS_EQUAL(rv1, v1); }
108  { RefDynMat rv1 = v1.block(0,0,size,1); VERIFY_IS_EQUAL(rv1, v1); }
109  { VERIFY_RAISES_ASSERT( RefMat rm0 = v1.block(0, 0, size, 0); EIGEN_UNUSED_VARIABLE(rm0); ); }
110  if(VectorType::SizeAtCompileTime!=1)
111  { VERIFY_RAISES_ASSERT( RefDynMat rv1 = v1.block(0, 0, size, 0); EIGEN_UNUSED_VARIABLE(rv1); ); }
112 
113  RefDynMat rv2 = v1.segment(i,bsize);
114  VERIFY_IS_EQUAL(rv2, v1.segment(i,bsize));
115  rv2.setOnes();
116  v2.segment(i,bsize).setOnes();
117  VERIFY_IS_EQUAL(v1, v2);
118 
119  v2.segment(i,bsize).setRandom();
120  rv2 = v2.segment(i,bsize);
121  VERIFY_IS_EQUAL(v1, v2);
122 
123  ConstRefDynMat rm3 = v1.segment(i,bsize);
124  v1.segment(i,bsize) *= 2;
125  v2.segment(i,bsize) *= 2;
126  VERIFY_IS_EQUAL(rm3, v2.segment(i,bsize));
127 
128  RefRealMatWithStride rm4 = v1.real();
129  VERIFY_IS_EQUAL(rm4, v2.real());
130  rm4.array() += 1;
131  v2.real().array() += 1;
132  VERIFY_IS_EQUAL(v1, v2);
133 
134  RefMatWithStride rm5 = mat1.row(i).transpose();
135  VERIFY_IS_EQUAL(rm5, mat1.row(i).transpose());
136  rm5.array() += 1;
137  mat2.row(i).array() += 1;
138  VERIFY_IS_EQUAL(mat1, mat2);
139  rm5.noalias() = rm4.transpose() * mat3;
140  mat2.row(i) = v2.real().transpose() * mat3;
141  VERIFY_IS_APPROX(mat1, mat2);
142 }
143 
144 template<typename Scalar, int Rows, int Cols>
145 void ref_vector_fixed_sizes()
146 {
147  typedef Matrix<Scalar,Rows,Cols,RowMajor> RowMajorMatrixType;
148  typedef Matrix<Scalar,Rows,Cols,ColMajor> ColMajorMatrixType;
149  typedef Matrix<Scalar,1,Cols> RowVectorType;
150  typedef Matrix<Scalar,Rows,1> ColVectorType;
151  typedef Matrix<Scalar,Cols,1> RowVectorTransposeType;
152  typedef Matrix<Scalar,1,Rows> ColVectorTransposeType;
153  typedef Stride<Dynamic, Dynamic> DynamicStride;
154 
155  RowMajorMatrixType mr = RowMajorMatrixType::Random();
156  ColMajorMatrixType mc = ColMajorMatrixType::Random();
157 
158  Index i = internal::random<Index>(0,Rows-1);
159  Index j = internal::random<Index>(0,Cols-1);
160 
161  // Reference ith row.
162  Ref<RowVectorType, 0, DynamicStride> mr_ri = mr.row(i);
163  VERIFY_IS_EQUAL(mr_ri, mr.row(i));
164  Ref<RowVectorType, 0, DynamicStride> mc_ri = mc.row(i);
165  VERIFY_IS_EQUAL(mc_ri, mc.row(i));
166 
167  // Reference jth col.
168  Ref<ColVectorType, 0, DynamicStride> mr_cj = mr.col(j);
169  VERIFY_IS_EQUAL(mr_cj, mr.col(j));
170  Ref<ColVectorType, 0, DynamicStride> mc_cj = mc.col(j);
171  VERIFY_IS_EQUAL(mc_cj, mc.col(j));
172 
173  // Reference the transpose of row i.
174  Ref<RowVectorTransposeType, 0, DynamicStride> mr_rit = mr.row(i);
175  VERIFY_IS_EQUAL(mr_rit, mr.row(i).transpose());
176  Ref<RowVectorTransposeType, 0, DynamicStride> mc_rit = mc.row(i);
177  VERIFY_IS_EQUAL(mc_rit, mc.row(i).transpose());
178 
179  // Reference the transpose of col j.
180  Ref<ColVectorTransposeType, 0, DynamicStride> mr_cjt = mr.col(j);
181  VERIFY_IS_EQUAL(mr_cjt, mr.col(j).transpose());
182  Ref<ColVectorTransposeType, 0, DynamicStride> mc_cjt = mc.col(j);
183  VERIFY_IS_EQUAL(mc_cjt, mc.col(j).transpose());
184 
185  // Const references without strides.
186  Ref<const RowVectorType> cmr_ri = mr.row(i);
187  VERIFY_IS_EQUAL(cmr_ri, mr.row(i));
188  Ref<const RowVectorType> cmc_ri = mc.row(i);
189  VERIFY_IS_EQUAL(cmc_ri, mc.row(i));
190 
191  Ref<const ColVectorType> cmr_cj = mr.col(j);
192  VERIFY_IS_EQUAL(cmr_cj, mr.col(j));
193  Ref<const ColVectorType> cmc_cj = mc.col(j);
194  VERIFY_IS_EQUAL(cmc_cj, mc.col(j));
195 
196  Ref<const RowVectorTransposeType> cmr_rit = mr.row(i);
197  VERIFY_IS_EQUAL(cmr_rit, mr.row(i).transpose());
198  Ref<const RowVectorTransposeType> cmc_rit = mc.row(i);
199  VERIFY_IS_EQUAL(cmc_rit, mc.row(i).transpose());
200 
201  Ref<const ColVectorTransposeType> cmr_cjt = mr.col(j);
202  VERIFY_IS_EQUAL(cmr_cjt, mr.col(j).transpose());
203  Ref<const ColVectorTransposeType> cmc_cjt = mc.col(j);
204  VERIFY_IS_EQUAL(cmc_cjt, mc.col(j).transpose());
205 }
206 
207 template<typename PlainObjectType> void check_const_correctness(const PlainObjectType&)
208 {
209  // verify that ref-to-const don't have LvalueBit
210  typedef typename internal::add_const<PlainObjectType>::type ConstPlainObjectType;
211  VERIFY( !(internal::traits<Ref<ConstPlainObjectType> >::Flags & LvalueBit) );
212  VERIFY( !(internal::traits<Ref<ConstPlainObjectType, Aligned> >::Flags & LvalueBit) );
213  VERIFY( !(Ref<ConstPlainObjectType>::Flags & LvalueBit) );
214  VERIFY( !(Ref<ConstPlainObjectType, Aligned>::Flags & LvalueBit) );
215 }
216 
217 template<typename B>
218 EIGEN_DONT_INLINE void call_ref_1(Ref<VectorXf> a, const B &b) { VERIFY_IS_EQUAL(a,b); }
219 template<typename B>
220 EIGEN_DONT_INLINE void call_ref_2(const Ref<const VectorXf>& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
221 template<typename B>
222 EIGEN_DONT_INLINE void call_ref_3(Ref<VectorXf,0,InnerStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
223 template<typename B>
224 EIGEN_DONT_INLINE void call_ref_4(const Ref<const VectorXf,0,InnerStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
225 template<typename B>
226 EIGEN_DONT_INLINE void call_ref_5(Ref<MatrixXf,0,OuterStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
227 template<typename B>
228 EIGEN_DONT_INLINE void call_ref_6(const Ref<const MatrixXf,0,OuterStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
229 template<typename B>
230 EIGEN_DONT_INLINE void call_ref_7(Ref<Matrix<float,Dynamic,3> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
231 
232 void call_ref()
233 {
234  VectorXcf ca = VectorXcf::Random(10);
235  VectorXf a = VectorXf::Random(10);
236  RowVectorXf b = RowVectorXf::Random(10);
237  MatrixXf A = MatrixXf::Random(10,10);
238  RowVector3f c = RowVector3f::Random();
239  const VectorXf& ac(a);
240  VectorBlock<VectorXf> ab(a,0,3);
241  const VectorBlock<VectorXf> abc(a,0,3);
242 
243 
244  VERIFY_EVALUATION_COUNT( call_ref_1(a,a), 0);
245  VERIFY_EVALUATION_COUNT( call_ref_1(b,b.transpose()), 0);
246 // call_ref_1(ac,a<c); // does not compile because ac is const
247  VERIFY_EVALUATION_COUNT( call_ref_1(ab,ab), 0);
248  VERIFY_EVALUATION_COUNT( call_ref_1(a.head(4),a.head(4)), 0);
249  VERIFY_EVALUATION_COUNT( call_ref_1(abc,abc), 0);
250  VERIFY_EVALUATION_COUNT( call_ref_1(A.col(3),A.col(3)), 0);
251 // call_ref_1(A.row(3),A.row(3)); // does not compile because innerstride!=1
252  VERIFY_EVALUATION_COUNT( call_ref_3(A.row(3),A.row(3).transpose()), 0);
253  VERIFY_EVALUATION_COUNT( call_ref_4(A.row(3),A.row(3).transpose()), 0);
254 // call_ref_1(a+a, a+a); // does not compile for obvious reason
255 
256  MatrixXf tmp = A*A.col(1);
257  VERIFY_EVALUATION_COUNT( call_ref_2(A*A.col(1), tmp), 1); // evaluated into a temp
258  VERIFY_EVALUATION_COUNT( call_ref_2(ac.head(5),ac.head(5)), 0);
259  VERIFY_EVALUATION_COUNT( call_ref_2(ac,ac), 0);
260  VERIFY_EVALUATION_COUNT( call_ref_2(a,a), 0);
261  VERIFY_EVALUATION_COUNT( call_ref_2(ab,ab), 0);
262  VERIFY_EVALUATION_COUNT( call_ref_2(a.head(4),a.head(4)), 0);
263  tmp = a+a;
264  VERIFY_EVALUATION_COUNT( call_ref_2(a+a,tmp), 1); // evaluated into a temp
265  VERIFY_EVALUATION_COUNT( call_ref_2(ca.imag(),ca.imag()), 1); // evaluated into a temp
266 
267  VERIFY_EVALUATION_COUNT( call_ref_4(ac.head(5),ac.head(5)), 0);
268  tmp = a+a;
269  VERIFY_EVALUATION_COUNT( call_ref_4(a+a,tmp), 1); // evaluated into a temp
270  VERIFY_EVALUATION_COUNT( call_ref_4(ca.imag(),ca.imag()), 0);
271 
272  VERIFY_EVALUATION_COUNT( call_ref_5(a,a), 0);
273  VERIFY_EVALUATION_COUNT( call_ref_5(a.head(3),a.head(3)), 0);
274  VERIFY_EVALUATION_COUNT( call_ref_5(A,A), 0);
275 // call_ref_5(A.transpose(),A.transpose()); // does not compile because storage order does not match
276  VERIFY_EVALUATION_COUNT( call_ref_5(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
277  VERIFY_EVALUATION_COUNT( call_ref_5(b,b), 0); // storage order do not match, but this is a degenerate case that should work
278  VERIFY_EVALUATION_COUNT( call_ref_5(a.row(3),a.row(3)), 0);
279 
280  VERIFY_EVALUATION_COUNT( call_ref_6(a,a), 0);
281  VERIFY_EVALUATION_COUNT( call_ref_6(a.head(3),a.head(3)), 0);
282  VERIFY_EVALUATION_COUNT( call_ref_6(A.row(3),A.row(3)), 1); // evaluated into a temp thouth it could be avoided by viewing it as a 1xn matrix
283  tmp = A+A;
284  VERIFY_EVALUATION_COUNT( call_ref_6(A+A,tmp), 1); // evaluated into a temp
285  VERIFY_EVALUATION_COUNT( call_ref_6(A,A), 0);
286  VERIFY_EVALUATION_COUNT( call_ref_6(A.transpose(),A.transpose()), 1); // evaluated into a temp because the storage orders do not match
287  VERIFY_EVALUATION_COUNT( call_ref_6(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
288 
289  VERIFY_EVALUATION_COUNT( call_ref_7(c,c), 0);
290 }
291 
292 typedef Matrix<double,Dynamic,Dynamic,RowMajor> RowMatrixXd;
293 int test_ref_overload_fun1(Ref<MatrixXd> ) { return 1; }
294 int test_ref_overload_fun1(Ref<RowMatrixXd> ) { return 2; }
295 int test_ref_overload_fun1(Ref<MatrixXf> ) { return 3; }
296 
297 int test_ref_overload_fun2(Ref<const MatrixXd> ) { return 4; }
298 int test_ref_overload_fun2(Ref<const MatrixXf> ) { return 5; }
299 
300 void test_ref_ambiguous(const Ref<const ArrayXd> &A, Ref<ArrayXd> B)
301 {
302  B = A;
303  B = A - A;
304 }
305 
306 // See also bug 969
307 void test_ref_overloads()
308 {
309  MatrixXd Ad, Bd;
310  RowMatrixXd rAd, rBd;
311  VERIFY( test_ref_overload_fun1(Ad)==1 );
312  VERIFY( test_ref_overload_fun1(rAd)==2 );
313 
314  MatrixXf Af, Bf;
315  VERIFY( test_ref_overload_fun2(Ad)==4 );
316  VERIFY( test_ref_overload_fun2(Ad+Bd)==4 );
317  VERIFY( test_ref_overload_fun2(Af+Bf)==5 );
318 
319  ArrayXd A, B;
320  test_ref_ambiguous(A, B);
321 }
322 
323 void test_ref_fixed_size_assert()
324 {
325  Vector4f v4 = Vector4f::Random();
326  VectorXf vx = VectorXf::Random(10);
327  VERIFY_RAISES_STATIC_ASSERT( Ref<Vector3f> y = v4; (void)y; );
328  VERIFY_RAISES_STATIC_ASSERT( Ref<Vector3f> y = vx.head<4>(); (void)y; );
329  VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = v4; (void)y; );
330  VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = vx.head<4>(); (void)y; );
331  VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = 2*v4; (void)y; );
332 }
333 
334 EIGEN_DECLARE_TEST(ref)
335 {
336  for(int i = 0; i < g_repeat; i++) {
337  CALL_SUBTEST_1( ref_vector(Matrix<float, 1, 1>()) );
338  CALL_SUBTEST_1( check_const_correctness(Matrix<float, 1, 1>()) );
339  CALL_SUBTEST_2( ref_vector(Vector4d()) );
340  CALL_SUBTEST_2( check_const_correctness(Matrix4d()) );
341  CALL_SUBTEST_3( ref_vector(Vector4cf()) );
342  CALL_SUBTEST_4( ref_vector(VectorXcf(8)) );
343  CALL_SUBTEST_5( ref_vector(VectorXi(12)) );
344  CALL_SUBTEST_5( check_const_correctness(VectorXi(12)) );
345 
346  CALL_SUBTEST_1( ref_matrix(Matrix<float, 1, 1>()) );
347  CALL_SUBTEST_2( ref_matrix(Matrix4d()) );
348  CALL_SUBTEST_1( ref_matrix(Matrix<float,3,5>()) );
349  CALL_SUBTEST_4( ref_matrix(MatrixXcf(internal::random<int>(1,10),internal::random<int>(1,10))) );
350  CALL_SUBTEST_4( ref_matrix(Matrix<std::complex<double>,10,15>()) );
351  CALL_SUBTEST_5( ref_matrix(MatrixXi(internal::random<int>(1,10),internal::random<int>(1,10))) );
352  CALL_SUBTEST_6( call_ref() );
353 
354  CALL_SUBTEST_8( (ref_vector_fixed_sizes<float,3,5>()) );
355  CALL_SUBTEST_8( (ref_vector_fixed_sizes<float,15,10>()) );
356  }
357 
358  CALL_SUBTEST_7( test_ref_overloads() );
359  CALL_SUBTEST_7( test_ref_fixed_size_assert() );
360 }
B
Matrix< SCALARB, Dynamic, Dynamic, opt_B > B
Definition: bench_gemm.cpp:49
m
Matrix3f m
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SCALAR Scalar
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#define VERIFY_RAISES_ASSERT(a)
Definition: main.h:340
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#define CALL_SUBTEST_6(FUNC)
Definition: split_test_helper.h:34
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#define CALL_SUBTEST_4(FUNC)
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Matrix< double, Dynamic, Dynamic, RowMajor > RowMatrixXd
Definition: ref.cpp:292
y
Scalar * y
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Vector v2
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Definition: ref.cpp:307
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#define CALL_SUBTEST_3(FUNC)
Definition: split_test_helper.h:16
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Expression of the transpose of a matrix.
Definition: Transpose.h:52
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MatrixType m2(n_dims)
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EIGEN_DONT_INLINE void call_ref_5(Ref< MatrixXf, 0, OuterStride<> > a, const B &b)
Definition: ref.cpp:226
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#define CALL_SUBTEST_7(FUNC)
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const unsigned int LvalueBit
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Scalar Scalar * c
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Holds strides information for Map.
Definition: Stride.h:48
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MatrixXf MatrixType
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Matrix< SCALARA, Dynamic, Dynamic, opt_A > A
Definition: bench_gemm.cpp:48
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Definition: ref.cpp:334
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void test_ref_ambiguous(const Ref< const ArrayXd > &A, Ref< ArrayXd > B)
Definition: ref.cpp:300
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Definition: ref.cpp:145
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EIGEN_DONT_INLINE void call_ref_1(Ref< VectorXf > a, const B &b)
Definition: ref.cpp:218
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Scalar Scalar int size
Definition: benchVecAdd.cpp:17
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EIGEN_DONT_INLINE void call_ref_3(Ref< VectorXf, 0, InnerStride<> > a, const B &b)
Definition: ref.cpp:222
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#define VERIFY_EVALUATION_COUNT(XPR, N)
Definition: test/sparse_product.cpp:27
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Expression of a fixed-size or dynamic-size sub-vector.
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Definition: ref.cpp:323
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static int g_repeat
Definition: main.h:169
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Convenience specialization of Stride to specify only an inner stride See class Map for some examples...
Definition: Stride.h:95
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EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
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void ref_vector(const VectorType &m)
Definition: ref.cpp:80
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Definition: split_test_helper.h:46
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void check_const_correctness(const PlainObjectType &)
Definition: ref.cpp:207
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Definition: ref.cpp:220
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Reference counting helper.
Definition: object.h:67
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Definition: testCallRecord.cpp:32
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A matrix or vector expression mapping an existing expression.
Definition: Ref.h:281
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Definition: ref.cpp:232
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Definition: ref.cpp:230
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Definition: split_test_helper.h:28
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Definition: main.h:380
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EIGEN_DONT_INLINE void call_ref_4(const Ref< const VectorXf, 0, InnerStride<> > &a, const B &b)
Definition: ref.cpp:224
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Definition: ref.cpp:33
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Definition: Tutorial_commainit_02.cpp:1
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Definition: Array_initializer_list_23_cxx11.cpp:1
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Definition: split_test_helper.h:10
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The matrix class, also used for vectors and row-vectors.
Definition: 3rdparty/Eigen/Eigen/src/Core/Matrix.h:178
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Convenience specialization of Stride to specify only an outer stride See class Map for some examples...
Definition: Stride.h:106
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int test_ref_overload_fun1(Ref< MatrixXd >)
Definition: ref.cpp:293
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Definition: ref.cpp:297
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Definition: tut_arithmetic_redux_minmax.cpp:2
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Definition: Macros.h:1076

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autogenerated on Tue Jul 4 2023 02:35:32