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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_IO_H
+#define EIGEN_IO_H
+
+namespace Eigen {
+
+enum { DontAlignCols = 1 };
+enum { StreamPrecision = -1,
+ FullPrecision = -2 };
+
+namespace internal {
+template<typename Derived>
+std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt);
+}
+
+/** \class IOFormat
+ * \ingroup Core_Module
+ *
+ * \brief Stores a set of parameters controlling the way matrices are printed
+ *
+ * List of available parameters:
+ * - \b precision number of digits for floating point values, or one of the special constants \c StreamPrecision and \c FullPrecision.
+ * The default is the special value \c StreamPrecision which means to use the
+ * stream's own precision setting, as set for instance using \c cout.precision(3). The other special value
+ * \c FullPrecision means that the number of digits will be computed to match the full precision of each floating-point
+ * type.
+ * - \b flags an OR-ed combination of flags, the default value is 0, the only currently available flag is \c DontAlignCols which
+ * allows to disable the alignment of columns, resulting in faster code.
+ * - \b coeffSeparator string printed between two coefficients of the same row
+ * - \b rowSeparator string printed between two rows
+ * - \b rowPrefix string printed at the beginning of each row
+ * - \b rowSuffix string printed at the end of each row
+ * - \b matPrefix string printed at the beginning of the matrix
+ * - \b matSuffix string printed at the end of the matrix
+ * - \b fill character printed to fill the empty space in aligned columns
+ *
+ * Example: \include IOFormat.cpp
+ * Output: \verbinclude IOFormat.out
+ *
+ * \sa DenseBase::format(), class WithFormat
+ */
+struct IOFormat
+{
+ /** Default constructor, see class IOFormat for the meaning of the parameters */
+ IOFormat(int _precision = StreamPrecision, int _flags = 0,
+ const std::string& _coeffSeparator = " ",
+ const std::string& _rowSeparator = "\n", const std::string& _rowPrefix="", const std::string& _rowSuffix="",
+ const std::string& _matPrefix="", const std::string& _matSuffix="", const char _fill=' ')
+ : matPrefix(_matPrefix), matSuffix(_matSuffix), rowPrefix(_rowPrefix), rowSuffix(_rowSuffix), rowSeparator(_rowSeparator),
+ rowSpacer(""), coeffSeparator(_coeffSeparator), fill(_fill), precision(_precision), flags(_flags)
+ {
+ // TODO check if rowPrefix, rowSuffix or rowSeparator contains a newline
+ // don't add rowSpacer if columns are not to be aligned
+ if((flags & DontAlignCols))
+ return;
+ int i = int(matSuffix.length())-1;
+ while (i>=0 && matSuffix[i]!='\n')
+ {
+ rowSpacer += ' ';
+ i--;
+ }
+ }
+ std::string matPrefix, matSuffix;
+ std::string rowPrefix, rowSuffix, rowSeparator, rowSpacer;
+ std::string coeffSeparator;
+ char fill;
+ int precision;
+ int flags;
+};
+
+/** \class WithFormat
+ * \ingroup Core_Module
+ *
+ * \brief Pseudo expression providing matrix output with given format
+ *
+ * \tparam ExpressionType the type of the object on which IO stream operations are performed
+ *
+ * This class represents an expression with stream operators controlled by a given IOFormat.
+ * It is the return type of DenseBase::format()
+ * and most of the time this is the only way it is used.
+ *
+ * See class IOFormat for some examples.
+ *
+ * \sa DenseBase::format(), class IOFormat
+ */
+template<typename ExpressionType>
+class WithFormat
+{
+ public:
+
+ WithFormat(const ExpressionType& matrix, const IOFormat& format)
+ : m_matrix(matrix), m_format(format)
+ {}
+
+ friend std::ostream & operator << (std::ostream & s, const WithFormat& wf)
+ {
+ return internal::print_matrix(s, wf.m_matrix.eval(), wf.m_format);
+ }
+
+ protected:
+ typename ExpressionType::Nested m_matrix;
+ IOFormat m_format;
+};
+
+namespace internal {
+
+// NOTE: This helper is kept for backward compatibility with previous code specializing
+// this internal::significant_decimals_impl structure. In the future we should directly
+// call digits10() which has been introduced in July 2016 in 3.3.
+template<typename Scalar>
+struct significant_decimals_impl
+{
+ static inline int run()
+ {
+ return NumTraits<Scalar>::digits10();
+ }
+};
+
+/** \internal
+ * print the matrix \a _m to the output stream \a s using the output format \a fmt */
+template<typename Derived>
+std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt)
+{
+ using internal::is_same;
+ using internal::conditional;
+
+ if(_m.size() == 0)
+ {
+ s << fmt.matPrefix << fmt.matSuffix;
+ return s;
+ }
+
+ typename Derived::Nested m = _m;
+ typedef typename Derived::Scalar Scalar;
+ typedef typename
+ conditional<
+ is_same<Scalar, char>::value ||
+ is_same<Scalar, unsigned char>::value ||
+ is_same<Scalar, numext::int8_t>::value ||
+ is_same<Scalar, numext::uint8_t>::value,
+ int,
+ typename conditional<
+ is_same<Scalar, std::complex<char> >::value ||
+ is_same<Scalar, std::complex<unsigned char> >::value ||
+ is_same<Scalar, std::complex<numext::int8_t> >::value ||
+ is_same<Scalar, std::complex<numext::uint8_t> >::value,
+ std::complex<int>,
+ const Scalar&
+ >::type
+ >::type PrintType;
+
+ Index width = 0;
+
+ std::streamsize explicit_precision;
+ if(fmt.precision == StreamPrecision)
+ {
+ explicit_precision = 0;
+ }
+ else if(fmt.precision == FullPrecision)
+ {
+ if (NumTraits<Scalar>::IsInteger)
+ {
+ explicit_precision = 0;
+ }
+ else
+ {
+ explicit_precision = significant_decimals_impl<Scalar>::run();
+ }
+ }
+ else
+ {
+ explicit_precision = fmt.precision;
+ }
+
+ std::streamsize old_precision = 0;
+ if(explicit_precision) old_precision = s.precision(explicit_precision);
+
+ bool align_cols = !(fmt.flags & DontAlignCols);
+ if(align_cols)
+ {
+ // compute the largest width
+ for(Index j = 0; j < m.cols(); ++j)
+ for(Index i = 0; i < m.rows(); ++i)
+ {
+ std::stringstream sstr;
+ sstr.copyfmt(s);
+ sstr << static_cast<PrintType>(m.coeff(i,j));
+ width = std::max<Index>(width, Index(sstr.str().length()));
+ }
+ }
+ std::streamsize old_width = s.width();
+ char old_fill_character = s.fill();
+ s << fmt.matPrefix;
+ for(Index i = 0; i < m.rows(); ++i)
+ {
+ if (i)
+ s << fmt.rowSpacer;
+ s << fmt.rowPrefix;
+ if(width) {
+ s.fill(fmt.fill);
+ s.width(width);
+ }
+ s << static_cast<PrintType>(m.coeff(i, 0));
+ for(Index j = 1; j < m.cols(); ++j)
+ {
+ s << fmt.coeffSeparator;
+ if(width) {
+ s.fill(fmt.fill);
+ s.width(width);
+ }
+ s << static_cast<PrintType>(m.coeff(i, j));
+ }
+ s << fmt.rowSuffix;
+ if( i < m.rows() - 1)
+ s << fmt.rowSeparator;
+ }
+ s << fmt.matSuffix;
+ if(explicit_precision) s.precision(old_precision);
+ if(width) {
+ s.fill(old_fill_character);
+ s.width(old_width);
+ }
+ return s;
+}
+
+} // end namespace internal
+
+/** \relates DenseBase
+ *
+ * Outputs the matrix, to the given stream.
+ *
+ * If you wish to print the matrix with a format different than the default, use DenseBase::format().
+ *
+ * It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including Eigen headers.
+ * If not defined, this will automatically be defined to Eigen::IOFormat(), that is the Eigen::IOFormat with default parameters.
+ *
+ * \sa DenseBase::format()
+ */
+template<typename Derived>
+std::ostream & operator <<
+(std::ostream & s,
+ const DenseBase<Derived> & m)
+{
+ return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT);
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_IO_H