DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator > Class Template Reference

Aim: This class converts a string polynomial expression in a multivariate polynomial. More...

#include <DGtal/io/readers/MPolynomialReader.h>

Data Structures
struct	ExprNodeMaker

Public Types
typedef TRing	Ring
typedef TIterator	Iterator
typedef TAlloc	Alloc
typedef MPolynomial< n, Ring, Alloc >	Polynomial
typedef MPolynomialGrammar< Iterator >	Grammar

Public Member Functions
	MPolynomialReader ()
Iterator	read (Polynomial &p, Iterator begin, Iterator end)
void	selfDisplay (std::ostream &out) const
bool	isValid () const

Data Fields
Grammar	gpolynomial
	Polynomial grammar.

Private Member Functions
Polynomial	make (const detail::power_node &pnode)
Polynomial	make (const detail::monomial_node &mnode)
Polynomial	make (const detail::top_node &topnode)

Detailed Description

template<int n, typename TRing, typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>
class DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >

Aim: This class converts a string polynomial expression in a multivariate polynomial.

Description of template class 'MPolynomialReader'

typedef double Ring;
MPolynomial<3,Ring,std::allocator<Ring> > P;
MPolynomialReader<3,Ring> reader;
string s1 = "1.5 X_0^2 X_2^3 X_1^5 * (4 X_0^3 + X_1^2)^2";
bool ok1 = reader.read( P, s1.begin(), s1.end() ) == s1.end();
std::cout << "- Parsing " << s1 << " : " << ok1 << " " << P << std::endl;

Template Parameters

n	the number of variables or indeterminates.
TRing	the type chosen for the polynomial, defines also the type of the coefficents (generally int, float or double).
TAlloc	is an allocator for TRing, for example std::allocator<TRing>; this is also the default parameter. Usually this parameter does not needs to be changed.
TIterator	the type chosen for iterating over characters.

Examples

math/polynomial-read.cpp, and topology/trackImplicitPolynomialSurfaceToOFF.cpp.

Definition at line 258 of file MPolynomialReader.h.

Member Typedef Documentation

Alloc

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

typedef TAlloc DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::Alloc

Definition at line 263 of file MPolynomialReader.h.

Grammar

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

typedef MPolynomialGrammar<Iterator> DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::Grammar

Definition at line 265 of file MPolynomialReader.h.

Iterator

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

typedef TIterator DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::Iterator

Definition at line 262 of file MPolynomialReader.h.

Polynomial

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

typedef MPolynomial<n, Ring, Alloc > DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::Polynomial

Definition at line 264 of file MPolynomialReader.h.

Ring

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

typedef TRing DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::Ring

Definition at line 261 of file MPolynomialReader.h.

Constructor & Destructor Documentation

MPolynomialReader()

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::MPolynomialReader ( )

inline

Instantiates the grammar.

Definition at line 273 of file MPolynomialReader.h.

{}

Member Function Documentation

isValid()

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

bool DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::isValid

(

)

const

Checks the validity/consistency of the object.

Returns

'true' if the object is valid, 'false' otherwise.

make() [1/3]

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

Polynomial DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make ( const detail::monomial_node & mnode )

inlineprivate

Construct a monomial c * X_e1^k1 * X_e2^k2 * ... as a polynomial

Definition at line 327 of file MPolynomialReader.h.

    {
      Polynomial m;
      if ( mnode.powers.size() != 0 )
        {
          m = make( mnode.powers[ 0 ] );
          for ( unsigned int i = 1; i < mnode.powers.size(); ++i )
            m *= make( mnode.powers[ i ] );
        }
      else
        m = 1;
      return ( (Ring) mnode.coef ) * m;
    }

References DGtal::detail::monomial_node::coef, DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make(), and DGtal::detail::monomial_node::powers.

make() [2/3]

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

Polynomial DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make ( const detail::power_node & pnode )

inlineprivate

Construct a simple term X_e^k as a polynomial.

Definition at line 319 of file MPolynomialReader.h.

    {
      return Xe_k<n, Ring>( pnode.k, pnode.e );
    }

References DGtal::detail::power_node::e, DGtal::detail::power_node::k, and DGtal::Xe_k().

Referenced by DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make(), DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::ExprNodeMaker::operator()(), DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::ExprNodeMaker::operator()(), and DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::read().

make() [3/3]

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

Polynomial DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make ( const detail::top_node & topnode )

inlineprivate

Construct a top_node ( ... ) or ( ... )^k or expr1 (*|+|-) expr2 ... as a polynomial

Definition at line 366 of file MPolynomialReader.h.

    {
      ASSERT( ! topnode.expressions.empty() );
      Polynomial p;
      ExprNodeMaker emaker( *this );
      if ( topnode.ops.empty() )
        {
          // Node is identity. Nothing special to do. 
          boost::apply_visitor( emaker, topnode.expressions[ 0 ] );
          p = emaker.myP;
        }
      else if ( topnode.ops[ 0 ] == '^' )
        {
          // Node is some exponent ( ... )^k. ^0 is admissible.
          boost::apply_visitor( emaker, topnode.expressions[ 0 ] );
          p = (Ring) 1; 
          for ( unsigned int i = 1; i <= (unsigned int)topnode.exp; ++i )
            p *= emaker.myP;
        }
      else
        {
          // Node is expr1 (*|+|-) expr2 (*|+|-) expr3 ... 
          // NB: either ops are in {+,-} or in {*} only.
          boost::apply_visitor( emaker, topnode.expressions[ 0 ] );
          p = emaker.myP;
          for ( unsigned int i = 0; i < (unsigned int)topnode.ops.size(); ++i )
            {
              boost::apply_visitor( emaker, topnode.expressions[ i+1 ] );
              switch ( topnode.ops[ i ] ) {
              case '+': p += emaker.myP; break;
              case '-': p -= emaker.myP; break;
              case '*': p *= emaker.myP; break;
              default: std::cerr << "[UNKNOWN-node]" << topnode.ops[ i ] << std::endl;
              }
            }
        }
      return p;
    }

References DGtal::detail::top_node::exp, DGtal::detail::top_node::expressions, DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::ExprNodeMaker::myP, and DGtal::detail::top_node::ops.

read()

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

Iterator DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::read ( Polynomial & p, Iterator begin, Iterator end )

inline

Read any string between begin and end, and builds the corresponding polynomial in p.

Parameters

p	(returns) the polynomial
begin	an iterator on the first character to parse.
end	an iterator pointing after the last character to parse.

Returns

an iterator on the last successfully read position.

Examples

math/polynomial-read.cpp.

Definition at line 284 of file MPolynomialReader.h.

    {
      using qi::phrase_parse;
      using ascii::space;
      detail::top_node m;
      bool r = phrase_parse( begin, end, gpolynomial, space, m );
      if (r) p = make( m );
      return r ? begin : end;
    }

References DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::gpolynomial, and DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::make().

Referenced by main(), main(), DGtal::Shortcuts< TKSpace >::makeImplicitShape3D(), testDigitalSurfaceBoostGraphInterface(), testMPolynomialReader(), and testMPolynomialReader2().

selfDisplay()

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

void DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::selfDisplay

(

std::ostream &

out

)

const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Field Documentation

gpolynomial

template<int n, typename TRing , typename TAlloc = std::allocator<TRing>, typename TIterator = std::string::const_iterator>

Grammar DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::gpolynomial

Polynomial grammar.

Definition at line 268 of file MPolynomialReader.h.

Referenced by DGtal::MPolynomialReader< n, TRing, TAlloc, TIterator >::read().

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The documentation for this class was generated from the following file:

• MPolynomialReader.h