valuenode_derivative.cpp File Reference

Implementation of the "Derivative" valuenode conversion. More...

#include "valuenode_derivative.h"
#include "valuenode_const.h"
#include <synfig/general.h>
#include <ETL/misc>

Macros
#define	E(x, t, y)   ( (*x)(t).get(y) )
#define	D_ROUGH(x, t, h, y)
#define	D_NORMAL(x, t, h, y)
#define	D_FINE(x, t, h, y)
#define	D_EXTREME(x, t, h, y)
#define	DD_ROUGH(x, t, h, y)
#define	DD_NORMAL(x, t, h, y)
#define	DD_FINE(x, t, h, y)
#define	DD_EXTREME(x, t, h, y)

Detailed Description

Implementation of the "Derivative" valuenode conversion.

$Id$

Macro Definition Documentation

#define E	(		x,
			t,
			y
	)		( (*x)(t).get(y) )

#define D_ROUGH	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-h,y)*(-1.0/2.0)+      \
                E(x,t+h,y)*( 1.0/2.0)       \
                )/(h)                       \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define D_NORMAL	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-2*h,y)*( 1.0/12.0)+   \
                E(x,t-h  ,y)*( -2.0/3.0)+   \
                E(x,t+h  ,y)*(  2.0/3.0)+   \
                E(x,t+2*h,y)*(-1.0/12.0)    \
                )/(h)                       \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define D_FINE	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-3*h,y)*(-1.0/60.0)+   \
                E(x,t-2*h,y)*( 3.0/20.0)+   \
                E(x,t-h  ,y)*( -3.0/4.0)+   \
                E(x,t+h  ,y)*(  3.0/4.0)+   \
                E(x,t+2*h,y)*(-3.0/20.0)+   \
                E(x,t+3*h,y)*( 1.0/60.0)    \
                )/(h)                       \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define D_EXTREME	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-4*h,y)*( 1.0/280.0)+  \
                E(x,t-3*h,y)*(  -4.0/105)+  \
                E(x,t-2*h,y)*(   1.0/5.0)+  \
                E(x,t-h  ,y)*(  -4.0/5.0)+  \
                E(x,t+h  ,y)*(   4.0/5.0)+  \
                E(x,t+2*h,y)*(  -1.0/5.0)+  \
                E(x,t+3*h,y)*( 4.0/105.0)+  \
                E(x,t+4*h,y)*(-1.0/280.0)   \
                )/(h)                       \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define DD_ROUGH	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-h,y)*( 1.0)+          \
                E(x,t,y  )*(-2.0)+          \
                E(x,t+h,y)*( 1.0)           \
                )/(h*h)                     \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define DD_NORMAL	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-2*h,y)*(-1.0/12.0)+   \
                E(x,t-h  ,y)*(  4.0/3.0)+   \
                E(x,t    ,y)*( -5.0/2.0)+   \
                E(x,t+h  ,y)*(  4.0/3.0)+   \
                E(x,t+2*h,y)*(-1.0/12.0)    \
                )/(h*h)                     \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define DD_FINE	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-3*h,y)*(  1.0/90.0)+  \
                E(x,t-2*h,y)*( -3.0/20.0)+  \
                E(x,t-h  ,y)*(   3.0/2.0)+  \
                E(x,t    ,y)*(-49.0/18.0)+  \
                E(x,t+h  ,y)*(   3.0/2.0)+  \
                E(x,t+2*h,y)*( -3.0/20.0)+  \
                E(x,t+3*h,y)*(  1.0/90.0)   \
                )/(h*h)                     \
                )

Referenced by synfig::ValueNode_Derivative::operator()().

#define DD_EXTREME	(		x,
			t,
			h,
			y
	)

Value:

(                           \
                (                           \
                E(x,t-4*h,y)*( -1.0/560.0)+ \
                E(x,t-3*h,y)*(  8.0/315.0)+ \
                E(x,t-2*h,y)*(   -1.0/5.0)+ \
                E(x,t-h  ,y)*(    8.0/5.0)+ \
                E(x,t    ,y)*(-205.0/72.0)+ \
                E(x,t+h  ,y)*(    8.0/5.0)+ \
                E(x,t+2*h,y)*(   -1.0/5.0)+ \
                E(x,t+3*h,y)*(  8.0/315.0)+ \
                E(x,t+4*h,y)*( -1.0/560.0)  \
                )/(h*h)                     \
                )

Referenced by synfig::ValueNode_Derivative::operator()().