reshape.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) 2017 Gael Guennebaud <gael.guennebaud@inria.fr>
5 // Copyright (C) 2014 yoco <peter.xiau@gmail.com>
6 //
7 // This Source Code Form is subject to the terms of the Mozilla
8 // Public License v. 2.0. If a copy of the MPL was not distributed
9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10 
11 #include "main.h"
12 
13 template<typename T1,typename T2>
14 typename internal::enable_if<internal::is_same<T1,T2>::value,bool>::type
15 is_same_eq(const T1& a, const T2& b)
16 {
17  return (a.array() == b.array()).all();
18 }
19 
20 template <int Order,typename MatType>
21 void check_auto_reshape4x4(MatType m)
22 {
23  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 1> v1( 1);
24  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 2> v2( 2);
25  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 4> v4( 4);
26  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 8> v8( 8);
27  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1:16> v16(16);
28 
29  VERIFY(is_same_eq(m.template reshaped<Order>( 1, AutoSize), m.template reshaped<Order>( 1, 16)));
30  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, 16 ), m.template reshaped<Order>( 1, 16)));
31  VERIFY(is_same_eq(m.template reshaped<Order>( 2, AutoSize), m.template reshaped<Order>( 2, 8)));
32  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, 8 ), m.template reshaped<Order>( 2, 8)));
33  VERIFY(is_same_eq(m.template reshaped<Order>( 4, AutoSize), m.template reshaped<Order>( 4, 4)));
34  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, 4 ), m.template reshaped<Order>( 4, 4)));
35  VERIFY(is_same_eq(m.template reshaped<Order>( 8, AutoSize), m.template reshaped<Order>( 8, 2)));
36  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, 2 ), m.template reshaped<Order>( 8, 2)));
37  VERIFY(is_same_eq(m.template reshaped<Order>(16, AutoSize), m.template reshaped<Order>(16, 1)));
38  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, 1 ), m.template reshaped<Order>(16, 1)));
39 
40  VERIFY(is_same_eq(m.template reshaped<Order>(fix< 1>, AutoSize), m.template reshaped<Order>(fix< 1>, v16 )));
41  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, fix<16> ), m.template reshaped<Order>( v1, fix<16>)));
42  VERIFY(is_same_eq(m.template reshaped<Order>(fix< 2>, AutoSize), m.template reshaped<Order>(fix< 2>, v8 )));
43  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, fix< 8> ), m.template reshaped<Order>( v2, fix< 8>)));
44  VERIFY(is_same_eq(m.template reshaped<Order>(fix< 4>, AutoSize), m.template reshaped<Order>(fix< 4>, v4 )));
45  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, fix< 4> ), m.template reshaped<Order>( v4, fix< 4>)));
46  VERIFY(is_same_eq(m.template reshaped<Order>(fix< 8>, AutoSize), m.template reshaped<Order>(fix< 8>, v2 )));
47  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, fix< 2> ), m.template reshaped<Order>( v8, fix< 2>)));
48  VERIFY(is_same_eq(m.template reshaped<Order>(fix<16>, AutoSize), m.template reshaped<Order>(fix<16>, v1 )));
49  VERIFY(is_same_eq(m.template reshaped<Order>(AutoSize, fix< 1> ), m.template reshaped<Order>(v16, fix< 1>)));
50 }
51 
52 template <typename MatType>
53 void check_direct_access_reshape4x4(MatType , internal::FixedInt<RowMajorBit>) {}
54 
55 template <typename MatType>
56 void check_direct_access_reshape4x4(MatType m, internal::FixedInt<0>) {
57  VERIFY_IS_EQUAL(m.reshaped( 1, 16).data(), m.data());
58  VERIFY_IS_EQUAL(m.reshaped( 1, 16).innerStride(), 1);
59 
60  VERIFY_IS_EQUAL(m.reshaped( 2, 8).data(), m.data());
61  VERIFY_IS_EQUAL(m.reshaped( 2, 8).innerStride(), 1);
62  VERIFY_IS_EQUAL(m.reshaped( 2, 8).outerStride(), 2);
63 }
64 
65 // just test a 4x4 matrix, enumerate all combination manually
66 template <typename MatType>
67 void reshape4x4(MatType m)
68 {
69  typedef typename MatType::Scalar Scalar;
70 
71  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 1> v1( 1);
72  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 2> v2( 2);
73  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 4> v4( 4);
74  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1: 8> v8( 8);
75  internal::VariableAndFixedInt<MatType::SizeAtCompileTime==Dynamic?-1:16> v16(16);
76 
77  if((MatType::Flags&RowMajorBit)==0)
78  {
79  typedef Map<MatrixXi> MapMat;
80  // dynamic
81  VERIFY_IS_EQUAL((m.reshaped( 1, 16)), MapMat(m.data(), 1, 16));
82  VERIFY_IS_EQUAL((m.reshaped( 2, 8)), MapMat(m.data(), 2, 8));
83  VERIFY_IS_EQUAL((m.reshaped( 4, 4)), MapMat(m.data(), 4, 4));
84  VERIFY_IS_EQUAL((m.reshaped( 8, 2)), MapMat(m.data(), 8, 2));
85  VERIFY_IS_EQUAL((m.reshaped(16, 1)), MapMat(m.data(), 16, 1));
86 
87  // static
88  VERIFY_IS_EQUAL(m.reshaped(fix< 1>, fix<16>), MapMat(m.data(), 1, 16));
89  VERIFY_IS_EQUAL(m.reshaped(fix< 2>, fix< 8>), MapMat(m.data(), 2, 8));
90  VERIFY_IS_EQUAL(m.reshaped(fix< 4>, fix< 4>), MapMat(m.data(), 4, 4));
91  VERIFY_IS_EQUAL(m.reshaped(fix< 8>, fix< 2>), MapMat(m.data(), 8, 2));
92  VERIFY_IS_EQUAL(m.reshaped(fix<16>, fix< 1>), MapMat(m.data(), 16, 1));
93 
94 
95  // reshape chain
96  VERIFY_IS_EQUAL(
97  (m
98  .reshaped( 1, 16)
99  .reshaped(fix< 2>,fix< 8>)
100  .reshaped(16, 1)
101  .reshaped(fix< 8>,fix< 2>)
102  .reshaped( 2, 8)
103  .reshaped(fix< 1>,fix<16>)
104  .reshaped( 4, 4)
105  .reshaped(fix<16>,fix< 1>)
106  .reshaped( 8, 2)
107  .reshaped(fix< 4>,fix< 4>)
108  ),
109  MapMat(m.data(), 4, 4)
110  );
111  }
112 
113  VERIFY(is_same_eq(m.reshaped( 1, AutoSize), m.reshaped( 1, 16)));
114  VERIFY(is_same_eq(m.reshaped(AutoSize, 16), m.reshaped( 1, 16)));
115  VERIFY(is_same_eq(m.reshaped( 2, AutoSize), m.reshaped( 2, 8)));
116  VERIFY(is_same_eq(m.reshaped(AutoSize, 8), m.reshaped( 2, 8)));
117  VERIFY(is_same_eq(m.reshaped( 4, AutoSize), m.reshaped( 4, 4)));
118  VERIFY(is_same_eq(m.reshaped(AutoSize, 4), m.reshaped( 4, 4)));
119  VERIFY(is_same_eq(m.reshaped( 8, AutoSize), m.reshaped( 8, 2)));
120  VERIFY(is_same_eq(m.reshaped(AutoSize, 2), m.reshaped( 8, 2)));
121  VERIFY(is_same_eq(m.reshaped(16, AutoSize), m.reshaped(16, 1)));
122  VERIFY(is_same_eq(m.reshaped(AutoSize, 1), m.reshaped(16, 1)));
123 
124  VERIFY(is_same_eq(m.reshaped(fix< 1>, AutoSize), m.reshaped(fix< 1>, v16)));
125  VERIFY(is_same_eq(m.reshaped(AutoSize, fix<16>), m.reshaped( v1, fix<16>)));
126  VERIFY(is_same_eq(m.reshaped(fix< 2>, AutoSize), m.reshaped(fix< 2>, v8)));
127  VERIFY(is_same_eq(m.reshaped(AutoSize, fix< 8>), m.reshaped( v2, fix< 8>)));
128  VERIFY(is_same_eq(m.reshaped(fix< 4>, AutoSize), m.reshaped(fix< 4>, v4)));
129  VERIFY(is_same_eq(m.reshaped(AutoSize, fix< 4>), m.reshaped( v4, fix< 4>)));
130  VERIFY(is_same_eq(m.reshaped(fix< 8>, AutoSize), m.reshaped(fix< 8>, v2)));
131  VERIFY(is_same_eq(m.reshaped(AutoSize, fix< 2>), m.reshaped( v8, fix< 2>)));
132  VERIFY(is_same_eq(m.reshaped(fix<16>, AutoSize), m.reshaped(fix<16>, v1)));
133  VERIFY(is_same_eq(m.reshaped(AutoSize, fix< 1>), m.reshaped(v16, fix< 1>)));
134 
135  check_auto_reshape4x4<ColMajor> (m);
136  check_auto_reshape4x4<RowMajor> (m);
137  check_auto_reshape4x4<AutoOrder>(m);
138  check_auto_reshape4x4<ColMajor> (m.transpose());
139  check_auto_reshape4x4<ColMajor> (m.transpose());
140  check_auto_reshape4x4<AutoOrder>(m.transpose());
141 
142  check_direct_access_reshape4x4(m,fix<MatType::Flags&RowMajorBit>);
143 
144  if((MatType::Flags&RowMajorBit)==0)
145  {
146  VERIFY_IS_EQUAL(m.template reshaped<ColMajor>(2,8),m.reshaped(2,8));
147  VERIFY_IS_EQUAL(m.template reshaped<ColMajor>(2,8),m.template reshaped<AutoOrder>(2,8));
148  VERIFY_IS_EQUAL(m.transpose().template reshaped<RowMajor>(2,8),m.transpose().template reshaped<AutoOrder>(2,8));
149  }
150  else
151  {
152  VERIFY_IS_EQUAL(m.template reshaped<ColMajor>(2,8),m.reshaped(2,8));
153  VERIFY_IS_EQUAL(m.template reshaped<RowMajor>(2,8),m.template reshaped<AutoOrder>(2,8));
154  VERIFY_IS_EQUAL(m.transpose().template reshaped<ColMajor>(2,8),m.transpose().template reshaped<AutoOrder>(2,8));
155  VERIFY_IS_EQUAL(m.transpose().reshaped(2,8),m.transpose().template reshaped<AutoOrder>(2,8));
156  }
157 
158  MatrixXi m28r1 = m.template reshaped<RowMajor>(2,8);
159  MatrixXi m28r2 = m.transpose().template reshaped<ColMajor>(8,2).transpose();
160  VERIFY_IS_EQUAL( m28r1, m28r2);
161 
162  VERIFY(is_same_eq(m.reshaped(v16,fix<1>), m.reshaped()));
163  VERIFY_IS_EQUAL(m.reshaped(16,1).eval(), m.reshaped().eval());
164  VERIFY_IS_EQUAL(m.reshaped(1,16).eval(), m.reshaped().transpose().eval());
165  VERIFY_IS_EQUAL(m.reshaped().reshaped(2,8), m.reshaped(2,8));
166  VERIFY_IS_EQUAL(m.reshaped().reshaped(4,4), m.reshaped(4,4));
167  VERIFY_IS_EQUAL(m.reshaped().reshaped(8,2), m.reshaped(8,2));
168 
169  VERIFY_IS_EQUAL(m.reshaped(), m.template reshaped<ColMajor>());
170  VERIFY_IS_EQUAL(m.transpose().reshaped(), m.template reshaped<RowMajor>());
171  VERIFY_IS_EQUAL(m.template reshaped<RowMajor>(AutoSize,fix<1>), m.template reshaped<RowMajor>());
172  VERIFY_IS_EQUAL(m.template reshaped<AutoOrder>(AutoSize,fix<1>), m.template reshaped<AutoOrder>());
173 
174  VERIFY(is_same_eq(m.reshaped(AutoSize,fix<1>), m.reshaped()));
175  VERIFY_IS_EQUAL(m.template reshaped<RowMajor>(fix<1>,AutoSize), m.transpose().reshaped().transpose());
176 
177  // check assignment
178  {
179  Matrix<Scalar,Dynamic,1> m1x(m.size()); m1x.setRandom();
180  VERIFY_IS_APPROX(m.reshaped() = m1x, m1x);
181  VERIFY_IS_APPROX(m, m1x.reshaped(4,4));
182 
183  Matrix<Scalar,Dynamic,Dynamic> m28(2,8); m28.setRandom();
184  VERIFY_IS_APPROX(m.reshaped(2,8) = m28, m28);
185  VERIFY_IS_APPROX(m, m28.reshaped(4,4));
186  VERIFY_IS_APPROX(m.template reshaped<RowMajor>(2,8) = m28, m28);
187 
188  Matrix<Scalar,Dynamic,Dynamic> m24(2,4); m24.setRandom();
189  VERIFY_IS_APPROX(m(seq(0,last,2),all).reshaped(2,4) = m24, m24);
190 
191  // check constness:
192  m.reshaped(2,8).nestedExpression() = m;
193  }
194 }
195 
196 EIGEN_DECLARE_TEST(reshape)
197 {
198  typedef Matrix<int,Dynamic,Dynamic,RowMajor> RowMatrixXi;
199  typedef Matrix<int,4,4,RowMajor> RowMatrix4i;
200  MatrixXi mx = MatrixXi::Random(4, 4);
201  Matrix4i m4 = Matrix4i::Random(4, 4);
202  RowMatrixXi rmx = RowMatrixXi::Random(4, 4);
203  RowMatrix4i rm4 = RowMatrix4i::Random(4, 4);
204 
205  // test dynamic-size matrix
206  CALL_SUBTEST(reshape4x4(mx));
207  // test static-size matrix
208  CALL_SUBTEST(reshape4x4(m4));
209  // test dynamic-size const matrix
210  CALL_SUBTEST(reshape4x4(static_cast<const MatrixXi>(mx)));
211  // test static-size const matrix
212  CALL_SUBTEST(reshape4x4(static_cast<const Matrix4i>(m4)));
213 
214  CALL_SUBTEST(reshape4x4(rmx));
215  CALL_SUBTEST(reshape4x4(rm4));
216 }
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