org.jcurl.math
Class Distance2DSq

java.lang.Object
  org.jcurl.math.R1RNFunctionImpl
      org.jcurl.math.R1R1Function
          org.jcurl.math.Distance2DSq

All Implemented Interfaces:

Serializable, R1RNFunction

public class Distance2DSq
extends R1R1Function

The distance between two R1RNFunctions - only 2 dimensions used. Differentiable min. 1x.

Version:

$Id: Distance2DSq.java 1031 2009-07-23 15:06:05Z mro $

Author:

M. Rohrmoser

See Also:

Serialized Form

Constructor Summary

Distance2DSq(R1RNFunction c1, double r1, R1RNFunction c2, double r2)
Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having radii r1 and r2.

Distance2DSq(R1RNFunction c1, R1RNFunction c2, double r12Sqr)
Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having the square sum of radii r12Sqr.

Distance2DSq(R1RNFunction c1, R1RNFunction c2, double r12Sqr, int c)
Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having the square sum of radii r12Sqr.

Method Summary

double	at(double t, int c) Compute the c'th derivative at x.
protected double	atC0(double t) (c1(t) - c2(t))^2 - (r1 + r2)^2.
protected double	atC1(double t) 2 * (c1 - c2) * (c1' - c2') Feed into maxima: a(t) := [ ax(t), ay(t) ]; b(t) := [ bx(t), by(t) ]; d(t) := (a(t) - b(t)) .
String	toString()

Methods inherited from class org.jcurl.math.R1R1Function

at, at

Methods inherited from class org.jcurl.math.R1RNFunctionImpl

at, at, dim

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Distance2DSq

Distance2DSq(R1RNFunction c1,
             double r1,
             R1RNFunction c2,
             double r2)

Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having radii r1 and r2.

Parameters:

c1 -

r1 -

c2 -

r2 -

Distance2DSq

public Distance2DSq(R1RNFunction c1,
                    R1RNFunction c2,
                    double r12Sqr)

Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having the square sum of radii r12Sqr.

Parameters:

c1 -

c2 -

r12Sqr - (r1+r2)^2

Distance2DSq

public Distance2DSq(R1RNFunction c1,
                    R1RNFunction c2,
                    double r12Sqr,
                    int c)

Distance between two (2-dimensional) spheres moving along curve c1 and curve c2, having the square sum of radii r12Sqr.

Parameters:

c1 -

c2 -

r12Sqr - (r1+r2)^2

c - derivative of c1 and c2 to operate on. Usually 0

Method Detail

at

public double at(double t,
                 int c)

Description copied from class: R1R1Function

Compute the c'th derivative at x.

Specified by:

at in class R1R1Function

Parameters:

c -

t -

Returns:

the value

See Also:

atC0(double), atC1(double)

atC0

protected double atC0(double t)

(c1(t) - c2(t))^2 - (r1 + r2)^2.

Parameters:

t -

Returns:

the value

atC1

protected double atC1(double t)

2 * (c1 - c2) * (c1' - c2') Feed into maxima:

       a(t) := [ ax(t), ay(t) ];
       b(t) := [ bx(t), by(t) ];
       d(t) := (a(t) - b(t)) . (a(t) - b(t));
       diff(d(t), t);
       quit$
 

toString

public String toString()

Overrides:

toString in class Object