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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 (at) gmail.com>
      5 // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud (at) 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 contructor, 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="")
     57   : matPrefix(_matPrefix), matSuffix(_matSuffix), rowPrefix(_rowPrefix), rowSuffix(_rowSuffix), rowSeparator(_rowSeparator),
     58     rowSpacer(""), coeffSeparator(_coeffSeparator), precision(_precision), flags(_flags)
     59   {
     60     int i = int(matSuffix.length())-1;
     61     while (i>=0 && matSuffix[i]!='\n')
     62     {
     63       rowSpacer += ' ';
     64       i--;
     65     }
     66   }
     67   std::string matPrefix, matSuffix;
     68   std::string rowPrefix, rowSuffix, rowSeparator, rowSpacer;
     69   std::string coeffSeparator;
     70   int precision;
     71   int flags;
     72 };
     73 
     74 /** \class WithFormat
     75   * \ingroup Core_Module
     76   *
     77   * \brief Pseudo expression providing matrix output with given format
     78   *
     79   * \param ExpressionType the type of the object on which IO stream operations are performed
     80   *
     81   * This class represents an expression with stream operators controlled by a given IOFormat.
     82   * It is the return type of DenseBase::format()
     83   * and most of the time this is the only way it is used.
     84   *
     85   * See class IOFormat for some examples.
     86   *
     87   * \sa DenseBase::format(), class IOFormat
     88   */
     89 template<typename ExpressionType>
     90 class WithFormat
     91 {
     92   public:
     93 
     94     WithFormat(const ExpressionType& matrix, const IOFormat& format)
     95       : m_matrix(matrix), m_format(format)
     96     {}
     97 
     98     friend std::ostream & operator << (std::ostream & s, const WithFormat& wf)
     99     {
    100       return internal::print_matrix(s, wf.m_matrix.eval(), wf.m_format);
    101     }
    102 
    103   protected:
    104     const typename ExpressionType::Nested m_matrix;
    105     IOFormat m_format;
    106 };
    107 
    108 /** \returns a WithFormat proxy object allowing to print a matrix the with given
    109   * format \a fmt.
    110   *
    111   * See class IOFormat for some examples.
    112   *
    113   * \sa class IOFormat, class WithFormat
    114   */
    115 template<typename Derived>
    116 inline const WithFormat<Derived>
    117 DenseBase<Derived>::format(const IOFormat& fmt) const
    118 {
    119   return WithFormat<Derived>(derived(), fmt);
    120 }
    121 
    122 namespace internal {
    123 
    124 template<typename Scalar, bool IsInteger>
    125 struct significant_decimals_default_impl
    126 {
    127   typedef typename NumTraits<Scalar>::Real RealScalar;
    128   static inline int run()
    129   {
    130     using std::ceil;
    131     using std::log;
    132     return cast<RealScalar,int>(ceil(-log(NumTraits<RealScalar>::epsilon())/log(RealScalar(10))));
    133   }
    134 };
    135 
    136 template<typename Scalar>
    137 struct significant_decimals_default_impl<Scalar, true>
    138 {
    139   static inline int run()
    140   {
    141     return 0;
    142   }
    143 };
    144 
    145 template<typename Scalar>
    146 struct significant_decimals_impl
    147   : significant_decimals_default_impl<Scalar, NumTraits<Scalar>::IsInteger>
    148 {};
    149 
    150 /** \internal
    151   * print the matrix \a _m to the output stream \a s using the output format \a fmt */
    152 template<typename Derived>
    153 std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt)
    154 {
    155   if(_m.size() == 0)
    156   {
    157     s << fmt.matPrefix << fmt.matSuffix;
    158     return s;
    159   }
    160 
    161   typename Derived::Nested m = _m;
    162   typedef typename Derived::Scalar Scalar;
    163   typedef typename Derived::Index Index;
    164 
    165   Index width = 0;
    166 
    167   std::streamsize explicit_precision;
    168   if(fmt.precision == StreamPrecision)
    169   {
    170     explicit_precision = 0;
    171   }
    172   else if(fmt.precision == FullPrecision)
    173   {
    174     if (NumTraits<Scalar>::IsInteger)
    175     {
    176       explicit_precision = 0;
    177     }
    178     else
    179     {
    180       explicit_precision = significant_decimals_impl<Scalar>::run();
    181     }
    182   }
    183   else
    184   {
    185     explicit_precision = fmt.precision;
    186   }
    187 
    188   std::streamsize old_precision = 0;
    189   if(explicit_precision) old_precision = s.precision(explicit_precision);
    190 
    191   bool align_cols = !(fmt.flags & DontAlignCols);
    192   if(align_cols)
    193   {
    194     // compute the largest width
    195     for(Index j = 0; j < m.cols(); ++j)
    196       for(Index i = 0; i < m.rows(); ++i)
    197       {
    198         std::stringstream sstr;
    199         sstr.copyfmt(s);
    200         sstr << m.coeff(i,j);
    201         width = std::max<Index>(width, Index(sstr.str().length()));
    202       }
    203   }
    204   s << fmt.matPrefix;
    205   for(Index i = 0; i < m.rows(); ++i)
    206   {
    207     if (i)
    208       s << fmt.rowSpacer;
    209     s << fmt.rowPrefix;
    210     if(width) s.width(width);
    211     s << m.coeff(i, 0);
    212     for(Index j = 1; j < m.cols(); ++j)
    213     {
    214       s << fmt.coeffSeparator;
    215       if (width) s.width(width);
    216       s << m.coeff(i, j);
    217     }
    218     s << fmt.rowSuffix;
    219     if( i < m.rows() - 1)
    220       s << fmt.rowSeparator;
    221   }
    222   s << fmt.matSuffix;
    223   if(explicit_precision) s.precision(old_precision);
    224   return s;
    225 }
    226 
    227 } // end namespace internal
    228 
    229 /** \relates DenseBase
    230   *
    231   * Outputs the matrix, to the given stream.
    232   *
    233   * If you wish to print the matrix with a format different than the default, use DenseBase::format().
    234   *
    235   * It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including Eigen headers.
    236   * If not defined, this will automatically be defined to Eigen::IOFormat(), that is the Eigen::IOFormat with default parameters.
    237   *
    238   * \sa DenseBase::format()
    239   */
    240 template<typename Derived>
    241 std::ostream & operator <<
    242 (std::ostream & s,
    243  const DenseBase<Derived> & m)
    244 {
    245   return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT);
    246 }
    247 
    248 } // end namespace Eigen
    249 
    250 #endif // EIGEN_IO_H
    251