A C D E G H I K L M N P R S T U V

A

abs() - Method in class number.Complex

Return the absolute value.

absSquared() - Method in class number.Complex

Return the square of the absolute value.

add(Complex) - Method in class number.Complex

Add a complex number to this one.

C

Complex - Class in number

This class stores a complex number, and allows the user to do arithmetic with these numbers.

Complex(double, double) - Constructor for class number.Complex

Construct a point from real and imaginary parts.

Complex(double) - Constructor for class number.Complex

Construct a real number.

ComplexPolynomial - Class in geometry

This class is meant to demonstrate the PlanarMap interface.

ComplexPolynomial(Complex...) - Constructor for class geometry.ComplexPolynomial

Creates a polynomial from a list of coefficients in order of increasing degree.

conj() - Method in class number.Complex

Return the complex conjugate

D

div(double) - Method in class number.Complex

Divide this complex number by a real number.

div(Complex) - Method in class number.Complex

Compute the quotient of two complex numbers.

E

EdgeIterator - Interface in path

An EdgeIterator is an object which iterates over edges in a PolygonalPath.

endingPoint() - Method in class geometry.LineSegment

Return the endpoint.

endingPoint() - Method in interface path.Path

Return the endpoint.

endingPoint() - Method in class path.PolygonalApproximation

Return the ending point of the path.

endingPoint() - Method in interface path.PolygonalPath

Return the endpoint.

endingPoint() - Method in class path.SubstitutionFractal

Return the ending point of the path

endingPoint() - Method in class path.UnitCircleExample

Return the ending point of this arc or circle.

endingPoint() - Method in class path.VertexPath

Return the ending point of the path.

equals(Object) - Method in class number.Complex

Return true if the object is a complex number which is equal to this complex number.

exp() - Method in class number.Complex

Return the complex exponential of this complex number.

G

geometry - package geometry

H

hashCode() - Method in class number.Complex

hasNext() - Method in interface path.EdgeIterator

Return true when the iterator will return another edge with a call to next().

hasNext() - Method in interface path.PathIterator

Return true when the iterator will return another sub-path with a call to next().

I

im() - Method in class number.Complex

Return the imaginary part.

inv() - Method in class number.Complex

Return the multiplicative inverse.

iterator() - Method in interface path.Path

Return an iterator over the sub-paths.

iterator() - Method in class path.PolygonalApproximation

Iterate over the sub-paths making up the path.

iterator() - Method in interface path.PolygonalPath

Return an iterator over the segments making up the polygonal path.

iterator() - Method in class path.SubstitutionFractal

Return an iterator over the sub-paths

iterator() - Method in class path.UnitCircleExample

Return an iterator over the sub-arcs.

iterator() - Method in class path.VertexPath

Return an iterator over the segments making up the path.

K

KochSnowflakeExample - Class in path

This implements the famous Koch Snowflake.

KochSnowflakeExample() - Constructor for class path.KochSnowflakeExample

L

length() - Method in class geometry.LineSegment

Return the distance between the starting and ending points.

LineSegment - Class in geometry

This class represents the choice of a line segment in the complex plane.

LineSegment(Complex, Complex) - Constructor for class geometry.LineSegment

Construct a new LineSegment from a start and an end.

LineSegment(LineSegment, Similarity) - Constructor for class geometry.LineSegment

Construct the image of a line segment under a similarity

M

main(String[]) - Static method in class path.KochSnowflakeExample

Print the first few polygonal approximations of the Koch Snowflake.

main(String[]) - Static method in class path.UnitCircleExample

Print out the first several approximations of the unit circle by polygons.

map(Complex) - Method in class geometry.ComplexPolynomial

Evaluate the polynomial at z.

map(Complex) - Method in interface geometry.PlanarMap

Apply the map to the point z.

map(Complex) - Method in class geometry.Similarity

Apply the similarity to z.

midpoint() - Method in class geometry.LineSegment

Return the point midway between the starting and ending points.

minus(Complex) - Method in class number.Complex

Subtract a complex number from this one.

mult(Complex) - Method in class number.Complex

Compute the product of two complex numbers

N

neg() - Method in class number.Complex

Negate this complex number.

next() - Method in interface path.EdgeIterator

Return the next segment.

next() - Method in interface path.PathIterator

Returns the next sub-path.

number - package number

P

path - package path

Path - Interface in path

A Path is a PolygonalPath so that the curves (Segments) between the vertices are again paths, which we call sub-paths.

PathIterator - Interface in path

A PathIterator iterates over the sub-paths of a Path.

PathUtil - Class in path

Some useful functions for working with Paths and PolygonalPaths.

PathUtil() - Constructor for class path.PathUtil

PlanarMap - Interface in geometry

This interface represents a map from the complex plane to itself.

PolygonalApproximation - Class in path

Construct a new polygonal path which iterates through sub-paths at a certain depth.

PolygonalApproximation(Path, int) - Constructor for class path.PolygonalApproximation

Construct a version of the path whose iterator moves over sub-paths of the given depth

PolygonalPath - Interface in path

A PolygonalPath is a sequence of edges.

R

re() - Method in class number.Complex

Return the real part.

S

Similarity - Class in geometry

This class represents an orientation preserving similarity of the plane.

Similarity(Complex, Complex) - Constructor for class geometry.Similarity

Construct the similarity z maps to w*z+a.

Similarity(LineSegment) - Constructor for class geometry.Similarity

Construct the similarity sending zero to the starting point of the segment and one to the ending point.

snowflake() - Static method in class path.KochSnowflakeExample

Return the Koch Snowflake as a SubstitutionFractal.

startingPoint() - Method in class geometry.LineSegment

Return the starting point.

startingPoint() - Method in interface path.Path

Return the starting point.

startingPoint() - Method in class path.PolygonalApproximation

Return the starting point of the path.

startingPoint() - Method in interface path.PolygonalPath

Return the starting point.

startingPoint() - Method in class path.SubstitutionFractal

Return the starting point of the path

startingPoint() - Method in class path.UnitCircleExample

Return the starting point of this arc or circle.

startingPoint() - Method in class path.VertexPath

Return the starting point of the path.

SubstitutionFractal - Class in path

A substitution fractal is the limit of a sequence of polygonal approximations.

SubstitutionFractal(PolygonalPath, PolygonalPath) - Constructor for class path.SubstitutionFractal

Construct a Substitution path with a given first polygonal approximation p and a substitution path gamma.

SubstitutionFractal(PolygonalPath) - Constructor for class path.SubstitutionFractal

Construct a Substitution path with gamma serving as both the first polygonal approximation and the substitution path.

T

toString() - Method in class geometry.ComplexPolynomial

Return a string describing the polynomial as a map of the Complex plane.

toString() - Method in class geometry.Similarity

Return a representation of the similarity as a string.

toString() - Method in class number.Complex

Returns this point as a string.

toString(PolygonalPath) - Static method in class path.PathUtil

Convert a polygonal path to a string representation.

toString() - Method in class path.PolygonalApproximation

Convert the path to a string.

toString() - Method in class path.VertexPath

Return a string representing the polygonal path

U

UnitCircleExample - Class in path

This demonstrates of the Path interface by constructing a circle.

UnitCircleExample() - Constructor for class path.UnitCircleExample

Construct a path representing the unit circle in the plane.

V

VertexPath - Class in path

A VertexPath is a polygonal path which is constructed from a list of vertices.

VertexPath(Collection<Complex>) - Constructor for class path.VertexPath

Construct from a collection of coordinates for vertices.

VertexPath(Complex...) - Constructor for class path.VertexPath

Construct from a list of complex numbers.

VertexPath(PolygonalPath) - Constructor for class path.VertexPath

Convert p into a VertexPath.

VertexPath(PolygonalPath, PlanarMap) - Constructor for class path.VertexPath

Construct the image of the path p under the map f.

A C D E G H I K L M N P R S T U V