tools::cubic< T > Class Template Reference

Public Member Functions
	cubic (const vec3< T > &a_p0, const vec3< T > &a_v0, const vec3< T > &a_p1, const vec3< T > &a_v1)
	cubic (const T &a_p0_x, const T &a_p0_y, const T &a_p0_z, const T &a_v0_x, const T &a_v0_y, const T &a_v0_z, const T &a_p1_x, const T &a_p1_y, const T &a_p1_z, const T &a_v1_x, const T &a_v1_y, const T &a_v1_z)
virtual	~cubic ()
	cubic (const cubic &a_from)
cubic &	operator= (const cubic &a_from)
void	get_point (unsigned int a_index, unsigned int a_num, vec3< T > &a_p)
void	get_point (unsigned int a_index, unsigned int a_num, T &a_x, T &a_y, T &a_z)

Protected Member Functions
void	initialize (const T &a_p0_x, const T &a_p0_y, const T &a_p0_z, const T &a_v0_x, const T &a_v0_y, const T &a_v0_z, const T &a_p1_x, const T &a_p1_y, const T &a_p1_z, const T &a_v1_x, const T &a_v1_y, const T &a_v1_z)

Protected Attributes
vec3< T >	m_a
vec3< T >	m_b
vec3< T >	m_c
vec3< T >	m_d

Detailed Description

template<class T>
class tools::cubic< T >

Definition at line 14 of file geom3.

Constructor & Destructor Documentation

cubic() [1/3]

template<class T >

tools::cubic< T >::cubic ( const vec3< T > &  a_p0, const vec3< T > &  a_v0, const vec3< T > &  a_p1, const vec3< T > &  a_v1  )

inline

Definition at line 16 of file geom3.

                                                 {
    // Construct a cubic given 2 points and their tangents.
    initialize(a_p0.x(),a_p0.y(),a_p0.z(),
               a_v0.x(),a_v0.y(),a_v0.z(),
               a_p1.x(),a_p1.y(),a_p1.z(),
               a_v1.x(),a_v1.y(),a_v1.z());
  }

cubic() [2/3]

template<class T >

tools::cubic< T >::cubic ( const T &  a_p0_x, const T &  a_p0_y, const T &  a_p0_z, const T &  a_v0_x, const T &  a_v0_y, const T &  a_v0_z, const T &  a_p1_x, const T &  a_p1_y, const T &  a_p1_z, const T &  a_v1_x, const T &  a_v1_y, const T &  a_v1_z  )

inline

Definition at line 24 of file geom3.

                                                        {
    initialize(a_p0_x,a_p0_y,a_p0_z,
               a_v0_x,a_v0_y,a_v0_z,
               a_p1_x,a_p1_y,a_p1_z,
               a_v1_x,a_v1_y,a_v1_z);
  }

~cubic()

template<class T >

virtual tools::cubic< T >::~cubic ( )

inlinevirtual

Definition at line 34 of file geom3.

{}

cubic() [3/3]

template<class T >

tools::cubic< T >::cubic ( const cubic< T > &  a_from )

inline

Definition at line 36 of file geom3.

  :m_a(a_from.m_a)
  ,m_b(a_from.m_b)
  ,m_c(a_from.m_c)
  ,m_d(a_from.m_d)
  {}

Member Function Documentation

get_point() [1/2]

template<class T >

void tools::cubic< T >::get_point ( unsigned int  a_index, unsigned int  a_num, T &  a_x, T &  a_y, T &  a_z  )

inline

Definition at line 58 of file geom3.

                                                                              {
    //a_index = 0        is a_p0
    //a_index = a_num-1  is a_p1
    T s = T(a_index)/T(a_num-1);
    T s2 = s*s;
    T s3 = s2*s;
    a_x = m_a.x()*s3 + m_b.x()*s2 + m_c.x()*s + m_d.x();
    a_y = m_a.y()*s3 + m_b.y()*s2 + m_c.y()*s + m_d.y();
    a_z = m_a.z()*s3 + m_b.z()*s2 + m_c.z()*s + m_d.z();
  }

get_point() [2/2]

template<class T >

void tools::cubic< T >::get_point ( unsigned int  a_index, unsigned int  a_num, vec3< T > &  a_p  )

inline

Definition at line 50 of file geom3.

                                                                      {
    //a_index = 0        is a_p0
    //a_index = a_num-1  is a_p1
    T s = T(a_index)/T(a_num-1);
    T s2 = s*s;
    T s3 = s2*s;
    a_p = m_a*s3 + m_b*s2 + m_c*s + m_d;
  }

initialize()

template<class T >

void tools::cubic< T >::initialize ( const T &  a_p0_x, const T &  a_p0_y, const T &  a_p0_z, const T &  a_v0_x, const T &  a_v0_y, const T &  a_v0_z, const T &  a_p1_x, const T &  a_p1_y, const T &  a_p1_z, const T &  a_v1_x, const T &  a_v1_y, const T &  a_v1_z  )

inlineprotected

Definition at line 69 of file geom3.

                                                                  {
    // Construct a cubic given 2 points and their tangents.
 
    //  f(s) = a s**3 + b s**2 + c s + d
    // f'(s) = 3 a s**2 + 2 b s + c
 
    //  f(0) = d = p0
    // f'(0) = c = v0
 
    //  f(1) =   a +   b + v0 + p0 = p1
    // f'(1) = 3 a + 2 b + v0 = v1
 
    //  f(1) =   a +   b = p1 - v0 - p0
    // f'(1) = 3 a + 2 b = v1 - v0
 
    // b = 3(p1-v0-p0)-(v1-v0)
    // a = p1-v0-p0 - b = p1-v0-p0-3(p1-v0-p0)+(v1-v0)
    // a = -2p1 + v0 + 2p0 + v1
 
    T a_x = -2*a_p1_x + a_v0_x + 2*a_p0_x + a_v1_x;
    T a_y = -2*a_p1_y + a_v0_y + 2*a_p0_y + a_v1_y;
    T a_z = -2*a_p1_z + a_v0_z + 2*a_p0_z + a_v1_z;
    m_a.set_value(a_x,a_y,a_z);
 
    T b_x = 3*(a_p1_x - a_v0_x - a_p0_x) - (a_v1_x - a_v0_x);
    T b_y = 3*(a_p1_y - a_v0_y - a_p0_y) - (a_v1_y - a_v0_y);
    T b_z = 3*(a_p1_z - a_v0_z - a_p0_z) - (a_v1_z - a_v0_z);
    m_b.set_value(b_x,b_y,b_z);
 
    m_c.set_value(a_v0_x,a_v0_y,a_v0_z);
    m_d.set_value(a_p0_x,a_p0_y,a_p0_z);
 
  }

operator=()

template<class T >

cubic& tools::cubic< T >::operator= ( const cubic< T > &  a_from )

inline

Definition at line 42 of file geom3.

                                        {
    m_a = a_from.m_a;
    m_b = a_from.m_b;
    m_c = a_from.m_c;
    m_d = a_from.m_d;
    return *this;
  }

Member Data Documentation

m_a

template<class T >

vec3<T> tools::cubic< T >::m_a

protected

Definition at line 107 of file geom3.

m_b

template<class T >

vec3<T> tools::cubic< T >::m_b

protected

Definition at line 108 of file geom3.

m_c

template<class T >

vec3<T> tools::cubic< T >::m_c

protected

Definition at line 109 of file geom3.

m_d

template<class T >

vec3<T> tools::cubic< T >::m_d

protected

Definition at line 110 of file geom3.

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

• /Users/barrand/private/dev/softinex/g4tools/g4tools/tools/lina/geom3