point2< T > Class Template Reference

2D point. More...

#include <point.h>

Inheritance diagram for point2< T >:

Collaboration diagram for point2< T >:

List of all members.

Public Member Functions
	point2 ()
	Set the default values to zero.
	point2 (T x0, T y0)
	Construct a 2D point.
	operator stringc () const
	Write out a point as a string.
void	serializeInverse (stringc &s)
	Interpret or read in the point.
void	serializeInverseBrackets (stringc &s)
	Read the point in that is in human friendly format with brackets and a comma from the string.
ostream &	print (ostream &os) const
	Write out the point.
istream &	serializeInverse (istream &istr)
	Read in a point from a stream.
point2< T > &	operator+= (point2< T > const &p)
	Modify this point by adding to itself.
point2< T > const	operator+ (point2< T > const &p) const
	Create a tempory adding the two points.
point2< T > &	operator-= (point2< T > const &p)
	Modify this point by subtracting from itself.
point2< T > const	operator- (point2< T > const &p) const
	Create a tempory subtracting the two points.
point2< T > &	operator*= (point2< T > const &p)
	Modify this point by multiplying to itself.
point2< T > const	operator* (point2< T > const &p) const
	Create a tempory multiplying the two points.
point2< T > &	operator/= (point2< T > const &p)
	Modify this point by dividing to itself.
point2< T > const	operator/ (point2< T > const &p) const
	Create a tempory dividing the two points.
bool const	operator== (point2< T > const &p) const
	Compare the two points for equality.
template<typename W >
point2< T > &	operator+= (W const &w)
	Modify this point by adding component wise to itself.
template<typename W >
point2< T > const	operator+ (W const &w) const
	Create a tempory adding component wise the two points.
template<typename W >
point2< T > &	operator-= (W const &w)
	Modify this point by subtracting component wise to itself.
template<typename W >
point2< T > const	operator- (W const &w) const
	Create a tempory subtracting component wise the two points.
template<typename W >
point2< T > &	operator*= (W const &w)
	Modify this point by multiplying component wise to itself.
template<typename W >
point2< T > const	operator* (W const &p) const
	Create a tempory multiplying component wise the two points.
template<typename W >
point2< T > &	operator/= (W const &w)
	Modify this point by dividing component wise to itself.
template<typename W >
point2< T > const	operator/ (W const &p) const
	Create a tempory dividing component wise the two points.
template<typename W >
boolc	operator!= (W const &w) const
	Not test applied to each element.
T const &	operator[] (uintc i) const
	Access the elements with integers.
T &	operator[] (uintc i)
	Access a reference to an element.
void	rotate90 ()
	Rotate 90 degrees in a anti clockwise direction.
T const	dot () const
	A distance measure.
T const	dot (point2< T > const &w) const
	The dot product of two 2D points.
T const	distance () const
	The pythagorean distance between two points.
void	normalize ()
	Make this vector a unit vector.
template<typename Z >
Z const	sumInRatio (Z const &A, Z const &B) const
	Use this point as a ratio to sum two other numbers.
boolc	isinsideunitbox () const
	Is this point on or inside the unit box.
Public Attributes
T	x
	The x component/dimension.
T	y
	The y component/dimension.

---

Detailed Description

template<typename T>
class point2< T >

2D point.

The class provides both direct memory management though adding and modifying the point itself by {+,-,*,/}= operators, or the generation of temporaries throught {+,-,*,/} operators.

Reading and writing to strings and streams is also supported.

Definition at line 31 of file point.h.

---

Constructor & Destructor Documentation

template<typename T>

point2< T >::point2

(

)

[inline]

Set the default values to zero.

Definition at line 41 of file point.h.

: x(0), y(0) {}

template<typename T>

point2< T >::point2	(	T	x0,
		T	y0
	)			[inline]

Construct a 2D point.

Definition at line 43 of file point.h.

: x(x0), y(y0) {}

---

Member Function Documentation

template<typename T>

T const point2< T >::distance

(

)

const [inline]

The pythagorean distance between two points.

Definition at line 160 of file point.h.

Referenced by arc::distance(), d3minboundary::eval(), point2< int >::normalize(), halfspaceD2draw::rotate(), linetest::test01(), and mathlibtest::test015().

    { return sqrt(x*x + y*y); }

template<typename T>

T const point2< T >::dot

(

point2< T > const &

w

)

const [inline]

The dot product of two 2D points.

Definition at line 156 of file point.h.

    { return x*w.x + y*w.y; }

template<typename T>

T const point2< T >::dot

(

)

const [inline]

A distance measure.

Definition at line 152 of file point.h.

Referenced by arc::constructPhi0TwoPoints(), arc::distance(), arc::distanceSquared(), transrotate2D::eval(), d2circle::eval(), d3circlepartition::intersection(), d3circlepartition::isInside(), d3circlepartition::isOnBoundary(), lineIntersection(), lineSegmentIntersection(), and d3tesstransform::multiply().

    { return x*x + y*y; }

template<typename T>

boolc point2< T >::isinsideunitbox

(

)

const [inline]

Is this point on or inside the unit box.

Definition at line 173 of file point.h.

  {
    if (x<(T)0)
      return false;
    if (y<(T)0)
      return false;
 
    if (x>(T)1)
      return false;
    if (y>(T)1)
      return false;

    return true;
  }

template<typename T>

void point2< T >::normalize

(

)

[inline]

Make this vector a unit vector.

Definition at line 164 of file point.h.

Referenced by ruler::addStraightRuler(), d2arrow::d2arrow(), and test01().

    { assert(distance()!=0); *this *= 1.0/distance(); }

template<typename T>

point2< T >::operator stringc

(

)

const [inline]

Write out a point as a string.

Definition at line 46 of file point.h.

  { 
    string s;
    { stringstream ss; ss << x; s+=ss.str(); }
    s += " ";
    { stringstream ss; ss << y; s+=ss.str(); }
    return s;
  }

template<typename T>

template<typename W >

boolc point2< T >::operator!=

(

W const &

w

)

const [inline]

Not test applied to each element.

Definition at line 134 of file point.h.

    { if (x!=w.x) return true; if (y!=w.y) return true; return false; }

template<typename T>

template<typename W >

point2<T> const point2< T >::operator*

(

W const &

p

)

const [inline]

Create a tempory multiplying component wise the two points.

Definition at line 122 of file point.h.

    { point2<T> z(*this); z.x*=p; z.y*=p; return z; }

template<typename T>

point2<T> const point2< T >::operator*

(

point2< T > const &

p

)

const [inline]

Create a tempory multiplying the two points.

Definition at line 86 of file point.h.

    { point2<T> z(*this); z*=p; return z; }

template<typename T>

template<typename W >

point2<T>& point2< T >::operator*=

(

W const &

w

)

[inline]

Modify this point by multiplying component wise to itself.

Definition at line 118 of file point.h.

    { x*=w; y*=w; return *this; }

template<typename T>

point2<T>& point2< T >::operator*=

(

point2< T > const &

p

)

[inline]

Modify this point by multiplying to itself.

Definition at line 83 of file point.h.

    { x*=p.x; y*=p.y; return *this; }

template<typename T>

template<typename W >

point2<T> const point2< T >::operator+

(

W const &

w

)

const [inline]

Create a tempory adding component wise the two points.

Definition at line 106 of file point.h.

    { point2<T> z(*this); z.x+=w; z.y+=w; return z; }

template<typename T>

point2<T> const point2< T >::operator+

(

point2< T > const &

p

)

const [inline]

Create a tempory adding the two points.

Definition at line 73 of file point.h.

    { point2<T> z(*this); z+=p; return z; }

template<typename T>

template<typename W >

point2<T>& point2< T >::operator+=

(

W const &

w

)

[inline]

Modify this point by adding component wise to itself.

Definition at line 102 of file point.h.

    { x+=w; y+=w; return *this; }

template<typename T>

point2<T>& point2< T >::operator+=

(

point2< T > const &

p

)

[inline]

Modify this point by adding to itself.

Definition at line 70 of file point.h.

    { x+=p.x; y+=p.y; return *this; }

template<typename T>

template<typename W >

point2<T> const point2< T >::operator-

(

W const &

w

)

const [inline]

Create a tempory subtracting component wise the two points.

Definition at line 114 of file point.h.

    { point2<T> z(*this); z.x-=w; z.y-=w; return z; }

template<typename T>

point2<T> const point2< T >::operator-

(

point2< T > const &

p

)

const [inline]

Create a tempory subtracting the two points.

Definition at line 79 of file point.h.

      { point2<T> z(*this); z-=p; return z; } seg faulted?
    { return point2<T>(this->x-p.x,this->y-p.y); } // seg faulted too.

template<typename T>

template<typename W >

point2<T>& point2< T >::operator-=

(

W const &

w

)

[inline]

Modify this point by subtracting component wise to itself.

Definition at line 110 of file point.h.

    { x-=w; y-=w; return *this; }

template<typename T>

point2<T>& point2< T >::operator-=

(

point2< T > const &

p

)

[inline]

Modify this point by subtracting from itself.

Definition at line 76 of file point.h.

    { x-=p.x; y-=p.y; return *this; }

template<typename T>

template<typename W >

point2<T> const point2< T >::operator/

(

W const &

p

)

const [inline]

Create a tempory dividing component wise the two points.

Definition at line 130 of file point.h.

    { point2<T> z(*this); z.x/=p; z.y/=p; return z; }

template<typename T>

point2<T> const point2< T >::operator/

(

point2< T > const &

p

)

const [inline]

Create a tempory dividing the two points.

Definition at line 92 of file point.h.

    { point2<T> z(*this); z/=p; return z; }

template<typename T>

template<typename W >

point2<T>& point2< T >::operator/=

(

W const &

w

)

[inline]

Modify this point by dividing component wise to itself.

Definition at line 126 of file point.h.

    { x/=w; y/=w; return *this; }

template<typename T>

point2<T>& point2< T >::operator/=

(

point2< T > const &

p

)

[inline]

Modify this point by dividing to itself.

Definition at line 89 of file point.h.

    { x/=p.x; y/=p.y; return *this; }

template<typename T>

bool const point2< T >::operator==

(

point2< T > const &

p

)

const [inline]

Compare the two points for equality.

Definition at line 97 of file point.h.

    { return (x==p.x)&&(y==p.y); }

template<typename T>

T& point2< T >::operator[]

(

uintc

i

)

[inline]

Access a reference to an element.

Definition at line 142 of file point.h.

    { assert(i<2); if ((i%2)==0) return x; return y; }

template<typename T>

T const& point2< T >::operator[]

(

uintc

i

)

const [inline]

Access the elements with integers.

Definition at line 139 of file point.h.

    { assert(i<2); if ((i%2)==0) return x; return y; }

template<typename T>

ostream& point2< T >::print

(

ostream &

os

)

const [inline]

Write out the point.

Definition at line 61 of file point.h.

    { return os << x << " " << y; }

template<typename T>

void point2< T >::rotate90

(

)

[inline]

Rotate 90 degrees in a anti clockwise direction.

Definition at line 148 of file point.h.

Referenced by arc::distance(), and arc::distanceSquared().

    { T t=x; x=-y; y=t; }

template<typename T>

istream& point2< T >::serializeInverse

(

istream &

istr

)

[inline]

Read in a point from a stream.

Definition at line 64 of file point.h.

    { return istr >> x >> y; }

template<typename T>

void point2< T >::serializeInverse

(

stringc &

s

)

[inline]

Interpret or read in the point.

Definition at line 55 of file point.h.

Referenced by operator>>(), point2< T >::serializeInverseBrackets(), pointtest::test03(), and mazematrixD2test::unittest01().

    {  stringstream ss(s); ss >> x >> y; }

template<typename T >

void point2< T >::serializeInverseBrackets

(

stringc &

s

)

[inline]

Read the point in that is in human friendly format with brackets and a comma from the string.

Definition at line 574 of file point.h.

References point2< T >::serializeInverse().

Referenced by maze003::maze003(), and boxOBBhalfspaceD2test::unittest02().

{
  uintc sz(s.size());
  string s2(s);

  for (uint i=0; i<sz; ++i)
  {
    char ch = s[i];
    if (ch=='(')
      s2[i] = ' '; 
    if (ch==')')
      s2[i] = ' '; 
    if (ch==',')
      s2[i] = ' '; 
  }

  serializeInverse(s2);
}

template<typename T>

template<typename Z >

Z const point2< T >::sumInRatio	(	Z const &	A,
		Z const &	B
	)			const [inline]

Use this point as a ratio to sum two other numbers.

Definition at line 169 of file point.h.

    { assert(x+y!=0); return (A*x+B*y)/(x+y); }

---

Member Data Documentation

template<typename T>

T point2< T >::x

The x component/dimension.

Definition at line 36 of file point.h.

Referenced by mazematrixmapD2< T, W >::add(), ruler::addAngleRuler(), protractor::addCirclesText(), plotpolar::addcrosses(), plotpolar::adddatapointsinPolarDegrees(), plotpolar::adddatapointsinPolarRadians(), menusystem::addnewline(), partitionstest::addpoint(), addpoint(), addpointinsidemesh(), addrandompointtomeshptvector(), ruler::addStraightRuler(), halfspaceD2draw::alphacalculate(), mazematrixD2createmaze< T >::buildpropermaze(), buttonpanel01::buttonpanel01(), mazedisp03::celldraw(), mazedisp02::celldraw(), mazedisp01::celldraw(), maze001::celldraw(), mazedisp03::celldraw2(), mazedisp02::celldraw2(), mazedisp03::cellmidpoint(), buttonpanel02::centerpos(), maze001::constructgraphics(), arc::constructPhi0TwoPoints(), arcsconnected::constructR0(), arc::constructRadiusTwoPoints(), protractor::converttocartesian(), mazedisp03::currentposdraw(), d2arrow::d2arrow(), point2< int >::distance(), randomgenerator::domain(), point2< int >::dot(), mazedisp02::draw(), mazedisp01::draw(), d2simplexFill::draw(), d2simplexOutline::draw(), namefont::draw(), regionD2tessdisplaypoints< TS, Indx >::draw(), d3circlepartitiondraw::draw(), buttonpanel02::drawcircle(), maze005::eval(), maze004::eval(), transrotate2D::eval(), polytopeD2tessdisp01< VPTS, VPOLY >::eval(), mazedisp03::f01(), disk::intersects(), point2< int >::isinsideunitbox(), circleD2test::keyboard01(), boxOBBhalfspaceD2test::keyboard01(), lineIntersection(), lineSegmentIntersection(), d2func::make(), simplexD1listlinked< VI, INDX >::makelinks(), d2homogeneous::matrixMultiply(), maze001::maze001(), maze003::maze003(), zprmouse::mouseratio(), zprmouse::mouseratioInv(), point2< int >::operator stringc(), point2< int >::operator!=(), point2< int >::operator*(), point2< int >::operator*=(), point2< int >::operator+(), point2< int >::operator+=(), point2< int >::operator-(), point2< int >::operator-=(), point2< int >::operator/(), point2< int >::operator/=(), point2< int >::operator==(), operator>(), point2< int >::operator[](), point2< int >::print(), buttonpanel02::process(), menusystem::reset(), halfspaceD2draw::rotate(), point2< int >::rotate90(), point2< int >::serializeInverse(), d2homogeneous::setTranslate(), bsptree001::special(), mazedisp03::staticgraphics(), point2< int >::sumInRatio(), mathlibtest::test01(), halfspaceD2test::test01(), test01(), test11(), timmingexperiment04(), d3circlepartitiondraw::translate(), d3tesstransform::translate(), buttonpanel02::update(), pathlinesegdraw::update(), circleD2test::update01(), spiralindex< T >::valid(), and zprmouse::world().

template<typename T>

T point2< T >::y

The y component/dimension.

Definition at line 38 of file point.h.

Referenced by mazematrixmapD2< T, W >::add(), ruler::addAngleRuler(), protractor::addCirclesText(), plotpolar::addcrosses(), plotpolar::adddatapointsinPolarDegrees(), plotpolar::adddatapointsinPolarRadians(), menusystem::addnewline(), partitionstest::addpoint(), addpoint(), addpointinsidemesh(), addrandompointtomeshptvector(), ruler::addStraightRuler(), halfspaceD2draw::alphacalculate(), mazematrixD2createmaze< T >::buildpropermaze(), buttonpanel01::buttonpanel01(), mazedisp03::celldraw(), mazedisp02::celldraw(), mazedisp01::celldraw(), maze001::celldraw(), mazedisp03::celldraw2(), mazedisp02::celldraw2(), mazedisp03::cellmidpoint(), buttonpanel02::centerpos(), maze001::constructgraphics(), arc::constructPhi0TwoPoints(), arc::constructRadiusTwoPoints(), protractor::converttocartesian(), mazedisp03::currentposdraw(), d2arrow::d2arrow(), point2< int >::distance(), randomgenerator::domain(), point2< int >::dot(), mazedisp02::draw(), mazedisp01::draw(), d2simplexFill::draw(), d2simplexOutline::draw(), namefont::draw(), regionD2tessdisplaypoints< TS, Indx >::draw(), d3circlepartitiondraw::draw(), buttonpanel02::drawcircle(), maze005::eval(), maze004::eval(), transrotate2D::eval(), polytopeD2tessdisp01< VPTS, VPOLY >::eval(), mazedisp03::f01(), disk::intersects(), point2< int >::isinsideunitbox(), circleD2test::keyboard01(), boxOBBhalfspaceD2test::keyboard01(), lineIntersection(), lineSegmentIntersection(), d2func::make(), simplexD1listlinked< VI, INDX >::makelinks(), d2homogeneous::matrixMultiply(), maze001::maze001(), maze003::maze003(), zprmouse::mouseratio(), zprmouse::mouseratioInv(), point2< int >::operator stringc(), point2< int >::operator!=(), point2< int >::operator*(), point2< int >::operator*=(), point2< int >::operator+(), point2< int >::operator+=(), point2< int >::operator-(), point2< int >::operator-=(), point2< int >::operator/(), point2< int >::operator/=(), point2< int >::operator==(), operator>(), point2< int >::operator[](), point2< int >::print(), buttonpanel02::process(), menusystem::reset(), halfspaceD2draw::rotate(), point2< int >::rotate90(), point2< int >::serializeInverse(), d2homogeneous::setTranslate(), bsptree001::special(), mazedisp03::staticgraphics(), point2< int >::sumInRatio(), mathlibtest::test01(), halfspaceD2test::test01(), test01(), test11(), timmingexperiment04(), d3circlepartitiondraw::translate(), d3tesstransform::translate(), buttonpanel02::update(), pathlinesegdraw::update(), circleD2test::update01(), spiralindex< T >::valid(), and zprmouse::world().

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

• mathlib/point.h