---

Classes

• _global_
• graph
• Matrix
• PiecewiseFunction
• Point
• Polynomial
• Range
• SVG
• Term

---

Methods

• createFirstDegSpline
• createSecondDegSpline
• createThirdDegSpline
• PiecewiseFunction.fromWebWorker
• generateBezierPaths
• resolve
• toString
• toWebWorker

Fields

• PiecewiseFunction.serializeName

Class PiecewiseFunction

Defined in: Piecewise.js.

Class Summary

Constructor Attributes	Constructor Name and Description
	PiecewiseFunction(functs, ranges) Object representing mathematical piecewise functions

Field Summary

Field Attributes	Field Name and Description
<static> <constant>	PiecewiseFunction.serializeName A static constant to help with de/serialization

Method Summary

Method Attributes	Method Name and Description
{PiecewiseFunction}	createFirstDegSpline(points) Given a list of points generates a piece-wise spline function of the first degree.
{PiecewiseFunction}	createSecondDegSpline(points, zzero) Given a list of points generates a piece-wise spline function of the second degree.
{PiecewiseFunction}	createThirdDegSpline(points) Creates a Natural Cubic Spline given a series of points
<static>	PiecewiseFunction.fromWebWorker(that) Reconstitutes a PiecewiseFunction object and its data members after passed to web worker
{Point[]}	generateBezierPaths() Generate points for SVG paths/curves
{Double}	resolve(value) Applies the function on the value and returns the result
{string}	toString() Creates a simple string representation of the piecewise function
{Object}	toWebWorker() Prepares an Object ready to be passed to a web worker

	Roughly based on Page 374
	test code:
	var Q = [new Point(0,8),new Point(1,12),new Point(3,2),new Point(4,6),new Point(8,0)];
	var Y = [new Point(0,8),new Point(1,6),new Point(3,5),new Point(4,3),new Point(6,2),new Point(8,0)];
	ourGraph.points = Y;
	var yspline = createFirstDegSpline(Y);
	ourGraph.drawPoints();
	ourGraph.drawFunction(yspline);

Parameters:

{Point[]} points

An array of point objects sorted by x-value

Returns:

{PiecewiseFunction} The linear spline interpolation

---

	Roughly based on Page 380
	test code:
	var Q = [new Point(0,8),new Point(1,12),new Point(3,2),new Point(4,6),new Point(8,0)];
	var Y = [new Point(0,8),new Point(1,6),new Point(3,5),new Point(4,3),new Point(6,2),new Point(8,0)];
	var Z = [new Point(-1,2),new Point(0,1),new Point(0.5,0),new Point(1,1),new Point(2,2),new Point(5/2.0,3)];
	ourGraph.points = Z;
	var yspline = createSecondDegSpline(Z);
	ourGraph.drawPoints();
	ourGraph.drawFunction(yspline);

Parameters:

{Point[]} points

An array of point objects sorted by x-value

{Double} zzero

0 by default, otherwise the slope of the second derivative of the initial function

Returns:

{PiecewiseFunction} The quadratic spline interpolation

---

Parameters:

{Point[]} points

An array of points to interpolate

Returns:

{PiecewiseFunction} A piecewise function using polynomials of degree three IMPLEMENTED algorithm on page 392

---

Parameters:

{Object} that

A PiecewiseFunction strippd of its methods

---

Returns:

{Point[]} Path control points in order

---

Parameters:

{Double} value

The value to be used in the function

Returns:

{Double} The result

---

Returns:

{string} The string representation

---

Returns:

{Object}

---