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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
5 // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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 #ifndef EIGEN_IO_H
12 #define EIGEN_IO_H
13 
14 namespace Eigen {
15 
16 enum { DontAlignCols = 1 };
17 enum { StreamPrecision = -1,
18        FullPrecision = -2 };
19 
20 namespace internal {
21 template<typename Derived>
22 std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt);
23 }
24 
25 /** \class IOFormat
26   * \ingroup Core_Module
27   *
28   * \brief Stores a set of parameters controlling the way matrices are printed
29   *
30   * List of available parameters:
31   *  - \b precision number of digits for floating point values, or one of the special constants \c StreamPrecision and \c FullPrecision.
32   *                 The default is the special value \c StreamPrecision which means to use the
33   *                 stream's own precision setting, as set for instance using \c cout.precision(3). The other special value
34   *                 \c FullPrecision means that the number of digits will be computed to match the full precision of each floating-point
35   *                 type.
36   *  - \b flags an OR-ed combination of flags, the default value is 0, the only currently available flag is \c DontAlignCols which
37   *             allows to disable the alignment of columns, resulting in faster code.
38   *  - \b coeffSeparator string printed between two coefficients of the same row
39   *  - \b rowSeparator string printed between two rows
40   *  - \b rowPrefix string printed at the beginning of each row
41   *  - \b rowSuffix string printed at the end of each row
42   *  - \b matPrefix string printed at the beginning of the matrix
43   *  - \b matSuffix string printed at the end of the matrix
44   *
45   * Example: \include IOFormat.cpp
46   * Output: \verbinclude IOFormat.out
47   *
48   * \sa DenseBase::format(), class WithFormat
49   */
50 struct IOFormat
51 {
52   /** Default constructor, see class IOFormat for the meaning of the parameters */
53   IOFormat(int _precision = StreamPrecision, int _flags = 0,
54     const std::string& _coeffSeparator = " ",
55     const std::string& _rowSeparator = "\n", const std::string& _rowPrefix="", const std::string& _rowSuffix="",
56     const std::string& _matPrefix="", const std::string& _matSuffix="")
matPrefixIOFormat57   : matPrefix(_matPrefix), matSuffix(_matSuffix), rowPrefix(_rowPrefix), rowSuffix(_rowSuffix), rowSeparator(_rowSeparator),
58     rowSpacer(""), coeffSeparator(_coeffSeparator), precision(_precision), flags(_flags)
59   {
60     // TODO check if rowPrefix, rowSuffix or rowSeparator contains a newline
61     // don't add rowSpacer if columns are not to be aligned
62     if((flags & DontAlignCols))
63       return;
64     int i = int(matSuffix.length())-1;
65     while (i>=0 && matSuffix[i]!='\n')
66     {
67       rowSpacer += ' ';
68       i--;
69     }
70   }
71   std::string matPrefix, matSuffix;
72   std::string rowPrefix, rowSuffix, rowSeparator, rowSpacer;
73   std::string coeffSeparator;
74   int precision;
75   int flags;
76 };
77 
78 /** \class WithFormat
79   * \ingroup Core_Module
80   *
81   * \brief Pseudo expression providing matrix output with given format
82   *
83   * \tparam ExpressionType the type of the object on which IO stream operations are performed
84   *
85   * This class represents an expression with stream operators controlled by a given IOFormat.
86   * It is the return type of DenseBase::format()
87   * and most of the time this is the only way it is used.
88   *
89   * See class IOFormat for some examples.
90   *
91   * \sa DenseBase::format(), class IOFormat
92   */
93 template<typename ExpressionType>
94 class WithFormat
95 {
96   public:
97 
WithFormat(const ExpressionType & matrix,const IOFormat & format)98     WithFormat(const ExpressionType& matrix, const IOFormat& format)
99       : m_matrix(matrix), m_format(format)
100     {}
101 
102     friend std::ostream & operator << (std::ostream & s, const WithFormat& wf)
103     {
104       return internal::print_matrix(s, wf.m_matrix.eval(), wf.m_format);
105     }
106 
107   protected:
108     typename ExpressionType::Nested m_matrix;
109     IOFormat m_format;
110 };
111 
112 namespace internal {
113 
114 // NOTE: This helper is kept for backward compatibility with previous code specializing
115 //       this internal::significant_decimals_impl structure. In the future we should directly
116 //       call digits10() which has been introduced in July 2016 in 3.3.
117 template<typename Scalar>
118 struct significant_decimals_impl
119 {
runsignificant_decimals_impl120   static inline int run()
121   {
122     return NumTraits<Scalar>::digits10();
123   }
124 };
125 
126 /** \internal
127   * print the matrix \a _m to the output stream \a s using the output format \a fmt */
128 template<typename Derived>
print_matrix(std::ostream & s,const Derived & _m,const IOFormat & fmt)129 std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt)
130 {
131   if(_m.size() == 0)
132   {
133     s << fmt.matPrefix << fmt.matSuffix;
134     return s;
135   }
136 
137   typename Derived::Nested m = _m;
138   typedef typename Derived::Scalar Scalar;
139 
140   Index width = 0;
141 
142   std::streamsize explicit_precision;
143   if(fmt.precision == StreamPrecision)
144   {
145     explicit_precision = 0;
146   }
147   else if(fmt.precision == FullPrecision)
148   {
149     if (NumTraits<Scalar>::IsInteger)
150     {
151       explicit_precision = 0;
152     }
153     else
154     {
155       explicit_precision = significant_decimals_impl<Scalar>::run();
156     }
157   }
158   else
159   {
160     explicit_precision = fmt.precision;
161   }
162 
163   std::streamsize old_precision = 0;
164   if(explicit_precision) old_precision = s.precision(explicit_precision);
165 
166   bool align_cols = !(fmt.flags & DontAlignCols);
167   if(align_cols)
168   {
169     // compute the largest width
170     for(Index j = 0; j < m.cols(); ++j)
171       for(Index i = 0; i < m.rows(); ++i)
172       {
173         std::stringstream sstr;
174         sstr.copyfmt(s);
175         sstr << m.coeff(i,j);
176         width = std::max<Index>(width, Index(sstr.str().length()));
177       }
178   }
179   s << fmt.matPrefix;
180   for(Index i = 0; i < m.rows(); ++i)
181   {
182     if (i)
183       s << fmt.rowSpacer;
184     s << fmt.rowPrefix;
185     if(width) s.width(width);
186     s << m.coeff(i, 0);
187     for(Index j = 1; j < m.cols(); ++j)
188     {
189       s << fmt.coeffSeparator;
190       if (width) s.width(width);
191       s << m.coeff(i, j);
192     }
193     s << fmt.rowSuffix;
194     if( i < m.rows() - 1)
195       s << fmt.rowSeparator;
196   }
197   s << fmt.matSuffix;
198   if(explicit_precision) s.precision(old_precision);
199   return s;
200 }
201 
202 } // end namespace internal
203 
204 /** \relates DenseBase
205   *
206   * Outputs the matrix, to the given stream.
207   *
208   * If you wish to print the matrix with a format different than the default, use DenseBase::format().
209   *
210   * It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including Eigen headers.
211   * If not defined, this will automatically be defined to Eigen::IOFormat(), that is the Eigen::IOFormat with default parameters.
212   *
213   * \sa DenseBase::format()
214   */
215 template<typename Derived>
216 std::ostream & operator <<
217 (std::ostream & s,
218  const DenseBase<Derived> & m)
219 {
220   return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT);
221 }
222 
223 } // end namespace Eigen
224 
225 #endif // EIGEN_IO_H
226