mml

Class Direction

java.lang.Object

la.la.Value

la.la.Function

la.la.Function.Native

mml.UPModel

mml.ByPdf

mml.R_D

mml.Direction

All Implemented Interfaces:

java.lang.Comparable<Value>

Direct Known Subclasses:

Direction.Uniform, vMF

public abstract class Direction
extends R_D

UnParameterised Models of Directions, that is of RD-Vectors, of known norm (length, size, radius). Such a Vector has K = D() - 1 degrees of freedom. Fully parameterised Direction Models start with Direction.M

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
class	Direction.M (Abstract) a fully parameterised Model of Direction is made by defining nlPdf(v).
static class	Direction.Uniform The UnParameterised Uniform Model of Directions in RD.

Nested classes/interfaces inherited from class mml.R_D

R_D.Forest, R_D.ForestSearch, R_D.Independent, R_D.NrmDir, R_D.Transform

Nested classes/interfaces inherited from class mml.UPModel

UPModel.Est

Nested classes/interfaces inherited from class la.la.Function.Native

Function.Native.WithInverse

Nested classes/interfaces inherited from class la.la.Function

Function.Cts2Cts, Function.Cts2Cts2Cts, Function.CtsD2CtsD, Function.HasInverse, Function.Native, Function.Native2, Function.Native3

Nested classes/interfaces inherited from class la.la.Value

Value.Atomic, Value.Bool, Value.Char, Value.Chars, Value.Cts, Value.Defer, Value.Discrete, Value.Enum, Value.Inc_Or, Value.Int, Value.Lambda, Value.List, Value.Maybe, Value.Option, Value.Real, Value.Scannable, Value.Structured, Value.Triv, Value.Tuple

Field Summary

Fields inherited from class mml.UPModel

dp

Fields inherited from class la.la.Value

C, comparator, CR, E, eight, ffalse, five, fiveR, four, fourR, half, negCR, negOne, negOneR, negTenR, nilVal, nine, None, one, oneR, PI, PIby2, point01, point1, point5, point9, quarter, seven, six, ten, tenR, three, threeR, triv, ttrue, two, twoR, zero, zeroR

Constructor Summary

Constructors

Constructor and Description
Direction(Value dp)

Method Summary

Modifier and Type	Method and Description
int	K() Degrees of freedom (surface dimension), K = D - 1, on the unit-radius K-Sphere in RD.
double	logArea() Return the log of the surface-area of the unit-radius K-Sphere, the surface of the unit-radius D-Ball, where K = D - 1.

Methods inherited from class mml.R_D

D, ds2L1stats, ds2NorL1stats, ds2Nstats, sp2Model, transform

Methods inherited from class mml.UPModel

apply, defnParams, estimator, main, stats, stats, stats, stats, toString, transform

Methods inherited from class la.la.Function

bOp, fromBop, fromUop, type, uOp

Methods inherited from class la.la.Value

AoM, bOp, compareTo, cons, cts, elt, errMsg, error, force, isTuple, just, n, nElts, nlAoM, pair, print, quad, real, RTE, triple, tuple, UOE, x

Methods inherited from class java.lang.Object

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

Constructor Detail

Direction

public Direction(Value dp)

Method Detail

K

public int K()

Degrees of freedom (surface dimension), K = D - 1, on the unit-radius K-Sphere in R^D.

logArea

public double logArea()

Return the log of the surface-area of the unit-radius K-Sphere, the surface of the unit-radius D-Ball, where K = D - 1. For example, D=2, K=1, "1_area" = 2π; and D=3, K=2, 2_area = 4π.