Class Map2DFunction

java.lang.Object
   |
   +----Map2DFunction

Class to return nf'th iterate of map function.
To be subclassed by specific functions, which must provide:

Optional parameters are:

double xminDefault, xmaxDefault, yminDefault, ymaxDefault giving the default plot range
String title giving the name of the function to use as a graph title
boolean showWinding set to true if winding number to be displayed

getNParameters(): Returns the number of parameters defining the map
iterate(double[]): iterates the map function
iterateTangent(double[], double[]): iterates the tangent space of the map function
mod(double): Shifts x to 0 setParameters(double[]); Sets the map paramters

nParameters

 public int nParameters

number of map parameters (1,2 or 3)

 double a[]

array giving map paramters

aDefault

 public double aDefault[]

array giving default values of map parameters

title

 public String title

the name of the function to use as a graph title

xminDefault

 public double xminDefault

the default value of xmin

xmaxDefault

 public double xmaxDefault

the default value of xmax

yminDefault

 public double yminDefault

the default value of ymin

ymaxDefault

 public double ymaxDefault

the default value of ymax

winding

 public int winding

winding number for circle map

windingAdd

 public int windingAdd

set to zero in transients so winding number not updated

total

 public int total

number of iterations contributing to winding

showWinding

 public boolean showWinding

true if winding number to be shown

Map2DFunction

 public Map2DFunction()

 public void setParameters(double parameters[])

Sets the map paramters

 public void iterateTangent(double x[],
                            double t[])

iterates the tangent space of the map function

Parameters:: x - input value and returns updated values x[0] and x[1] contain the new values of X and Y; t - value of tangent vector (updated by iteration)

 public void iterate(double x[])

iterates the map function

Parameters:: x - input value of map point x[0] and x[1] contain the new values of X and Y x[2] and x[3] contain the previous values

 public int getNParameters()

Returns the number of parameters defining the map

mod

 double mod(double x)

Shifts x to 0