ecl::PascalsTriangle< N > Class Template Reference

Holds the coefficients for pascal's triangle up to row N. More...

#include <pascals_triangle.hpp>

Public Types
typedef Array< int,(N+2)*(N+1)/2 >::const_iterator	const_iterator
	Utilise the array's iterator for parsing the triangle. More...

Public Member Functions
const_iterator	begin (unsigned int index=0) const
	Iterator generator for diagonals of pascals triangle [begin]. More...
const_iterator	end (unsigned int index=0) const
	Iterator generator for diagonals of pascals triangle [end]. More...
	PascalsTriangle ()
	Default constructor. More...
virtual	~PascalsTriangle ()

Private Attributes
Array< int,(N+2)*(N+1)/2 >	coefficients

Friends
template<typename OutputStream , int PowerN>
OutputStream &	operator<< (OutputStream &ostream, const PascalsTriangle< PowerN > &triangle)
	Streaming output insertion operator for for pascal triangles. More...

Detailed Description

template<int N>
class ecl::PascalsTriangle< N >

Holds the coefficients for pascal's triangle up to row N.

Stores the coefficients of all rows (determined in diagonal order) up until row N - i.e. all coefficients up to and including those for (x+y)^0 to (x+y)^N. Coefficients are stored as a sequence of rows going from top to bottom right (of the triangle) and moving left. For example, for N = 5, the representation in the array is as shown below:

(*this) = 1,1,1,1,1,1,
          1,2,3,4,5,
          1,3,6,10,
          1,4,10,
          1,5,
          1;

Template Parameters

N	: calculate the triangle to the N-th power.

See also

Math::Polynomials.

Definition at line 57 of file pascals_triangle.hpp.

Member Typedef Documentation

template<int N>

typedef Array<int,(N+2)*(N+1)/2>::const_iterator ecl::PascalsTriangle< N >::const_iterator

Utilise the array's iterator for parsing the triangle.

Definition at line 63 of file pascals_triangle.hpp.

Constructor & Destructor Documentation

template<int N>

ecl::PascalsTriangle< N >::PascalsTriangle

(

)

Default constructor.

This computes all coefficients of the triangle up to row N.

Definition at line 208 of file pascals_triangle.hpp.

template<int N>

virtual ecl::PascalsTriangle< N >::~PascalsTriangle ( )

inlinevirtual

Definition at line 63 of file pascals_triangle.hpp.

Member Function Documentation

template<int N>

PascalsTriangle< N >::const_iterator ecl::PascalsTriangle< N >::begin

(

unsigned int

index = 0

)

const

Iterator generator for diagonals of pascals triangle [begin].

Return a const iterator pointing to the first element of the specified diagonal.

Parameters

index

: the diagonal to be iterated.

Returns

const_iterator : constant iterator pointing pointing to the first element of the specified diagonal.

Definition at line 230 of file pascals_triangle.hpp.

template<int N>

PascalsTriangle< N >::const_iterator ecl::PascalsTriangle< N >::end

(

unsigned int

index = 0

)

const

Iterator generator for diagonals of pascals triangle [end].

Return a const iterator just past the last element of the specified diagonal.

Parameters

index

: the diagonal to be iterated.

Returns

const_iterator : constant iterator pointing just beyond the last of the specified diagonal.

Definition at line 245 of file pascals_triangle.hpp.

Friends And Related Function Documentation

template<int N>

template<typename OutputStream , int PowerN>

OutputStream& operator<< ( OutputStream &  ostream, const PascalsTriangle< PowerN > &  triangle  )

friend

Streaming output insertion operator for for pascal triangles.

Streaming output insertion operator for for pascal triangles.

Template Parameters

OutputStream	: the type of stream being used.
PowerN	: the order of the pascal's triangle being inserted.

Parameters

ostream	: the stream to send the output to.
triangle	: the pascal triangle object.

Returns

OutputStream : the output stream.

Definition at line 271 of file pascals_triangle.hpp.

Member Data Documentation

template<int N>

Array<int,(N+2)*(N+1)/2> ecl::PascalsTriangle< N >::coefficients

private

Definition at line 79 of file pascals_triangle.hpp.

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

• pascals_triangle.hpp