Rotation Class Reference

#include <Rotation.hpp>

Inheritance diagram for Rotation:

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Collaboration diagram for Rotation:

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List of all members.

Public Member Functions
TinyVector< 3, real_t >	operator() (const TinyVector< 3, real_t > &x) const
TinyVector< 3, real_t >	inverse (const TinyVector< 3, real_t > &x) const
std::string	povWrite () const
	prints rotation information to a string.
ReferenceCounting< Transform >	getCopy () const
	Rotation (const TinyVector< 3, real_t > &r)
	Rotation (const Rotation &r)
	~Rotation ()
const TransType &	type () const
virtual TinyVector< 3, real_t >	operator() (const TinyVector< 3 > &x) const =0
virtual TinyVector< 3, real_t >	inverse (const TinyVector< 3 > &x) const =0
Protected Attributes
const TransType	__type
Private Attributes
const TinyVector< 3, real_t >	__angles
TinyMatrix< 3, 3 >	__matrix

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Detailed Description

Definition at line 39 of file Rotation.hpp.

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Constructor & Destructor Documentation

Rotation::Rotation

(

const TinyVector< 3, real_t > &

r

)

Constructor

Parameters:

r

given POVRay angles

Definition at line 46 of file Rotation.cpp.

References __matrix.

Referenced by getCopy().

  : Transform(rotation),
    __angles(r)
{
  const real_t deg2rad=4*std::atan(1.)/180.;

  const real_t cosx = std::cos(deg2rad*r[0]);
  const real_t cosy = std::cos(deg2rad*r[1]);
  const real_t cosz = std::cos(deg2rad*r[2]);
  const real_t sinx = std::sin(deg2rad*r[0]);
  const real_t siny = std::sin(deg2rad*r[1]);
  const real_t sinz = std::sin(deg2rad*r[2]);

  __matrix(0,0) =  cosy*cosz;
  __matrix(0,1) = -sinz*cosx + sinx*siny*cosz;
  __matrix(0,2) =  sinx*sinz + cosx*siny*cosz;
  __matrix(1,0) =  cosy*sinz;
  __matrix(1,1) =  cosx*cosz + sinx*siny*sinz;
  __matrix(1,2) = -sinx*cosy + cosx*siny*sinz;
  __matrix(2,0) = -siny;
  __matrix(2,1) =  sinx*cosy;
  __matrix(2,2) =  cosx*cosy;
}

Rotation::Rotation

(

const Rotation &

r

)

Copy Constructor

Parameters:

r

given rotation

Definition at line 71 of file Rotation.cpp.

  : Transform(r),
    __angles(r.__angles),
    __matrix(r.__matrix)
{
  ;
}

Rotation::~Rotation

(

)

[inline]

Destructor

Definition at line 105 of file Rotation.hpp.

  {
    ;
  }

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Member Function Documentation

TinyVector< 3, real_t > Rotation::operator()

(

const TinyVector< 3, real_t > &

x

)

const

Applies the Rotation to a vector

Parameters:

x

given vector

Returns:

Definition at line 26 of file Rotation.cpp.

References __matrix.

{
  return __matrix*v;
}

TinyVector< 3, real_t > Rotation::inverse

(

const TinyVector< 3, real_t > &

x

)

const

Applies the inverse Rotation to a vector

Parameters:

x

given vector

Returns:

Definition at line 32 of file Rotation.cpp.

References __matrix.

{
  // As 'matrix' is composed of rotations, and
  // as rotations are othogonal matrices
  // the inverse of 'matrix' is its transposed
  TinyVector<3,real_t> Temporary = 0;
  for (size_t i=0; i<3; i++)
    for (size_t j=0; j<3; j++) {
      Temporary[i]+=__matrix(j,i)*v[j];
    }
  return Temporary;
}

std::string Rotation::povWrite

(

)

const [virtual]

prints rotation information to a string.

Prints Rotation informations to a string.

Returns:

Rotations information string

Implements Transform.

Definition at line 81 of file Rotation.cpp.

References __angles.

{
  std::stringstream povs;
  povs << "rotation <"
       << __angles[0]
       << ", "
       << __angles[1]
       << ", "
       << __angles[2]
       << ">";
  povs << std::ends;
  return povs.str();
}

ReferenceCounting< Transform > Rotation::getCopy

(

)

const [virtual]

Gets a copy of the Rotation

Returns:

deep copy of the rotation

Implements Transform.

Definition at line 97 of file Rotation.cpp.

References Rotation().

{
  return new Rotation(*this);
}

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const TransType& Transform::type

(

)

const [inline, inherited]

Read-only access to the type of the transformation.

Returns:

__type

Definition at line 60 of file Transform.hpp.

References Transform::__type.

  {
    return __type;
  }

virtual TinyVector<3,real_t> Transform::operator()

(

const TinyVector< 3 > &

x

)

const [pure virtual, inherited]

Applies the transformation to a point

Parameters:

x

given point

Returns:

virtual TinyVector<3,real_t> Transform::inverse

(

const TinyVector< 3 > &

x

)

const [pure virtual, inherited]

Applies the inverse transformation to a point

Parameters:

x

given point

Returns:

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Member Data Documentation

const TinyVector<3,real_t> Rotation::__angles [private]

Rotation angles as given in POVRay

Definition at line 44 of file Rotation.hpp.

Referenced by povWrite().

TinyMatrix<3,3> Rotation::__matrix [private]

The inverse of the rotation is stored in the matrix. This way one can know if a vertex is the image of a vertex contained in a base shape; so, if a vertex is in the image of shape!

Definition at line 47 of file Rotation.hpp.

Referenced by inverse(), operator()(), and Rotation().

const TransType Transform::__type [protected, inherited]

Transformation type

Definition at line 52 of file Transform.hpp.

Referenced by Transform::type().

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

• Rotation.hpp
• Rotation.cpp