DFourier

class DFourier extends Fourier with DBasisFunction

The DFourier class provides Fourier basis functions with derivatives. Such basis functions are useful are useful for fitting periodic data in Functional Data Analysis.

See also: en.wikipedia.org/wiki/Fourier_series

Linear Supertypes

DBasisFunction, Fourier, Error, BasisFunction, AnyRef, Any

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Inherited

DFourier
DBasisFunction
Fourier
Error
BasisFunction
AnyRef
Any

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Visibility

Public
All

Instance Constructors

new DFourier(w: Double = 2.0 * Pi, mMax: Int = 4)
w
the fundamental frequency parameter
mMax
the number of sin/cos pairs to be used in the basis function

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def abf(m: Int)(t: VectoD): MatrixD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def abf_(m: Int)(t: Double): VectorD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def apply(m: Int)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf(m)(j) retrieves the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
final def asInstanceOf[T0]: T0

Definition Classes
Any
def bf(m: Int = mMax)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
Fourier → BasisFunction
def bf1(j: Int)(t: Double): Double
Obtain the value of the 1st order 'j'-th basis function at time 't'.
Obtain the value of the 1st order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf1(j) only. Ex: val x = bf1(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf1(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf2(j: Int)(t: Double): Double
Obtain the value of the 2nd order 'j'-th basis function at time 't'.
Obtain the value of the 2nd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf2(j) only. Ex: val x = bf2(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf2(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf3(j: Int)(t: Double): Double
Obtain the value of the 3rd order 'j'-th basis function at time 't'.
Obtain the value of the 3rd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf3(j) only. Ex: val x = bf3(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf3(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf4(j: Int)(t: Double): Double
Obtain the value of the 4th order 'j'-th basis function at time 't'.
Obtain the value of the 4th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf4(j) only. Ex: val x = bf4(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf4(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@native() @throws( ... )
def count(m: Int): Int
The number of basis functions for a specified order.
The number of basis functions for a specified order.
m
the order of the basis function

Definition Classes
BasisFunction
def d1bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 1st derivative basis function by calling d1bf(m)(j) only. Ex: val x = d1bf(m)(j)(t) retrieves the 1st derivative value of the j-th basis function at 't'. val f = d1bf(m)(j) retrieves the 1st derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def d2bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 2nd derivative basis function by calling d2bf(m)(j) only. Ex: val x = d2bf(m)(j)(t) retrieves the 2nd derivative value of the j-th basis function at 't'. val f = d2bf(m)(j) retrieves the 2nd derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf(n: Int)(m: Int)(t: VectoD): MatrixD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf_(n: Int)(m: Int)(t: Double): VectorD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnbf(n: Int)(m: Int)(j: Int)(t: Double): Double
Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the nth derivative basis function by calling dnbf(n)(m)(j) only. Ex: val x = dnbf(n)(m)(j)(t) retrieves the nth derivative value of the j-th basis function at 't'. val f = dnbf(n)(m)(j) retrieves the nth derivative of the j-th basis function.
n
the order of the derivative
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DFourier → DBasisFunction
def dot_(n: Int)(m: Int)(i: Int, j: Int)(g: DBasisFunction, a: Double, b: Double): Double
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
n
the order of the derivative
m
the order of the basis function
j
indicates which basis function
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
DBasisFunction
def dot_(m: Int)(i: Int, j: Int)(g: BasisFunction, a: Double = 0.0, b: Double = 1.0): Double
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
m
the order of the basis function
i
indicates which basis function of 'this'
j
indicates which basis function of 'g'
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
BasisFunction
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def flaw(method: String, message: String): Unit

Definition Classes
Error
def getCache(m: Int, t: VectoD): Array[MatrixD]
Retrieves the cached design matrices and penalty matrices
Retrieves the cached design matrices and penalty matrices
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction → BasisFunction
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
Annotations
@native()
def getOrder: Int
Retrieves the order of the this Fourier basis function
Retrieves the order of the this Fourier basis function

Definition Classes
Fourier → BasisFunction
def hashCode(): Int

Definition Classes
AnyRef → Any
Annotations
@native()
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
val needCompute: Boolean

Attributes
protected
Definition Classes
BasisFunction
final def notify(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def notifyAll(): Unit

Definition Classes
AnyRef
Annotations
@native()
def range(m: Int = mMax): Range
The range for the Fourier basis functions
The range for the Fourier basis functions
m
the order of the spline

Definition Classes
Fourier → BasisFunction
def recomputeCache: Unit
Recompute cached matrices
Recompute cached matrices

Definition Classes
BasisFunction
def size(m: Int = mMax): Int
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
m
the order of the spline

Definition Classes
Fourier → BasisFunction
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String
String representation of the Fourier Basis Functions
String representation of the Fourier Basis Functions

Definition Classes
Fourier → AnyRef → Any
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@native() @throws( ... )
val Σ: MatrixD

Attributes
protected
Definition Classes
DBasisFunction
val Φ: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val Φt: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val ΦtΦ: MatrixD

Attributes
protected
Definition Classes
BasisFunction

Inherited from DBasisFunction

Value Members

def d1bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 1st derivative basis function by calling d1bf(m)(j) only. Ex: val x = d1bf(m)(j)(t) retrieves the 1st derivative value of the j-th basis function at 't'. val f = d1bf(m)(j) retrieves the 1st derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def d2bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 2nd derivative basis function by calling d2bf(m)(j) only. Ex: val x = d2bf(m)(j)(t) retrieves the 2nd derivative value of the j-th basis function at 't'. val f = d2bf(m)(j) retrieves the 2nd derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf(n: Int)(m: Int)(t: VectoD): MatrixD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf_(n: Int)(m: Int)(t: Double): VectorD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dot_(n: Int)(m: Int)(i: Int, j: Int)(g: DBasisFunction, a: Double, b: Double): Double
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
n
the order of the derivative
m
the order of the basis function
j
indicates which basis function
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
DBasisFunction
def getCache(m: Int, t: VectoD): Array[MatrixD]
Retrieves the cached design matrices and penalty matrices
Retrieves the cached design matrices and penalty matrices
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction → BasisFunction
val Σ: MatrixD

Attributes
protected
Definition Classes
DBasisFunction

Inherited from Fourier

Value Members

def bf(m: Int = mMax)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
Fourier → BasisFunction
def getOrder: Int
Retrieves the order of the this Fourier basis function
Retrieves the order of the this Fourier basis function

Definition Classes
Fourier → BasisFunction
def range(m: Int = mMax): Range
The range for the Fourier basis functions
The range for the Fourier basis functions
m
the order of the spline

Definition Classes
Fourier → BasisFunction
def size(m: Int = mMax): Int
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
m
the order of the spline

Definition Classes
Fourier → BasisFunction
def toString(): String
String representation of the Fourier Basis Functions
String representation of the Fourier Basis Functions

Definition Classes
Fourier → AnyRef → Any

Inherited from Error

Value Members

final def flaw(method: String, message: String): Unit

Definition Classes
Error

Inherited from BasisFunction

Value Members

def abf(m: Int)(t: VectoD): MatrixD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def abf_(m: Int)(t: Double): VectorD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def apply(m: Int)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf(m)(j) retrieves the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf1(j: Int)(t: Double): Double
Obtain the value of the 1st order 'j'-th basis function at time 't'.
Obtain the value of the 1st order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf1(j) only. Ex: val x = bf1(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf1(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf2(j: Int)(t: Double): Double
Obtain the value of the 2nd order 'j'-th basis function at time 't'.
Obtain the value of the 2nd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf2(j) only. Ex: val x = bf2(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf2(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf3(j: Int)(t: Double): Double
Obtain the value of the 3rd order 'j'-th basis function at time 't'.
Obtain the value of the 3rd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf3(j) only. Ex: val x = bf3(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf3(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf4(j: Int)(t: Double): Double
Obtain the value of the 4th order 'j'-th basis function at time 't'.
Obtain the value of the 4th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf4(j) only. Ex: val x = bf4(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf4(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def count(m: Int): Int
The number of basis functions for a specified order.
The number of basis functions for a specified order.
m
the order of the basis function

Definition Classes
BasisFunction
def dot_(m: Int)(i: Int, j: Int)(g: BasisFunction, a: Double = 0.0, b: Double = 1.0): Double
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
m
the order of the basis function
i
indicates which basis function of 'this'
j
indicates which basis function of 'g'
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
BasisFunction
val needCompute: Boolean

Attributes
protected
Definition Classes
BasisFunction
def recomputeCache: Unit
Recompute cached matrices
Recompute cached matrices

Definition Classes
BasisFunction
val Φ: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val Φt: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val ΦtΦ: MatrixD

Attributes
protected
Definition Classes
BasisFunction

Inherited from AnyRef

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@native() @throws( ... )
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
Annotations
@native()
def hashCode(): Int

Definition Classes
AnyRef → Any
Annotations
@native()
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def notifyAll(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@native() @throws( ... )

Inherited from Any

Value Members

final def asInstanceOf[T0]: T0

Definition Classes
Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any

Ungrouped

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def abf(m: Int)(t: VectoD): MatrixD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def abf_(m: Int)(t: Double): VectorD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
m
the order of all the basis function
t
the time parameter

Definition Classes
BasisFunction
def apply(m: Int)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf(m)(j) retrieves the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
final def asInstanceOf[T0]: T0

Definition Classes
Any
def bf(m: Int = mMax)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
Fourier → BasisFunction
def bf1(j: Int)(t: Double): Double
Obtain the value of the 1st order 'j'-th basis function at time 't'.
Obtain the value of the 1st order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf1(j) only. Ex: val x = bf1(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf1(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf2(j: Int)(t: Double): Double
Obtain the value of the 2nd order 'j'-th basis function at time 't'.
Obtain the value of the 2nd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf2(j) only. Ex: val x = bf2(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf2(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf3(j: Int)(t: Double): Double
Obtain the value of the 3rd order 'j'-th basis function at time 't'.
Obtain the value of the 3rd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf3(j) only. Ex: val x = bf3(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf3(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def bf4(j: Int)(t: Double): Double
Obtain the value of the 4th order 'j'-th basis function at time 't'.
Obtain the value of the 4th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf4(j) only. Ex: val x = bf4(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf4(j) retrieves the j-th basis function.
j
indicates which basis function
t
the time parameter

Definition Classes
BasisFunction
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@native() @throws( ... )
def count(m: Int): Int
The number of basis functions for a specified order.
The number of basis functions for a specified order.
m
the order of the basis function

Definition Classes
BasisFunction
def d1bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 1st derivative basis function by calling d1bf(m)(j) only. Ex: val x = d1bf(m)(j)(t) retrieves the 1st derivative value of the j-th basis function at 't'. val f = d1bf(m)(j) retrieves the 1st derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def d2bf(m: Int)(j: Int)(t: Double): Double
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 2nd derivative basis function by calling d2bf(m)(j) only. Ex: val x = d2bf(m)(j)(t) retrieves the 2nd derivative value of the j-th basis function at 't'. val f = d2bf(m)(j) retrieves the 2nd derivative of the j-th basis function.
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf(n: Int)(m: Int)(t: VectoD): MatrixD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnabf_(n: Int)(m: Int)(t: Double): VectorD
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.
Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.
n
the order of the derivative
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction
def dnbf(n: Int)(m: Int)(j: Int)(t: Double): Double
Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'.
Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the nth derivative basis function by calling dnbf(n)(m)(j) only. Ex: val x = dnbf(n)(m)(j)(t) retrieves the nth derivative value of the j-th basis function at 't'. val f = dnbf(n)(m)(j) retrieves the nth derivative of the j-th basis function.
n
the order of the derivative
m
the order of the basis function
j
indicates which basis function
t
the time parameter

Definition Classes
DFourier → DBasisFunction
def dot_(n: Int)(m: Int)(i: Int, j: Int)(g: DBasisFunction, a: Double, b: Double): Double
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.
n
the order of the derivative
m
the order of the basis function
j
indicates which basis function
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
DBasisFunction
def dot_(m: Int)(i: Int, j: Int)(g: BasisFunction, a: Double = 0.0, b: Double = 1.0): Double
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
m
the order of the basis function
i
indicates which basis function of 'this'
j
indicates which basis function of 'g'
g
the other function
a
the start of the interval
b
the end of the interval

Definition Classes
BasisFunction
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def flaw(method: String, message: String): Unit

Definition Classes
Error
def getCache(m: Int, t: VectoD): Array[MatrixD]
Retrieves the cached design matrices and penalty matrices
Retrieves the cached design matrices and penalty matrices
m
the order of all the basis function
t
the time parameter

Definition Classes
DBasisFunction → BasisFunction
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
Annotations
@native()
def getOrder: Int
Retrieves the order of the this Fourier basis function
Retrieves the order of the this Fourier basis function

Definition Classes
Fourier → BasisFunction
def hashCode(): Int

Definition Classes
AnyRef → Any
Annotations
@native()
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
val needCompute: Boolean

Attributes
protected
Definition Classes
BasisFunction
final def notify(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def notifyAll(): Unit

Definition Classes
AnyRef
Annotations
@native()
def range(m: Int = mMax): Range
The range for the Fourier basis functions
The range for the Fourier basis functions
m
the order of the spline

Definition Classes
Fourier → BasisFunction
def recomputeCache: Unit
Recompute cached matrices
Recompute cached matrices

Definition Classes
BasisFunction
def size(m: Int = mMax): Int
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
m
the order of the spline

Definition Classes
Fourier → BasisFunction
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String
String representation of the Fourier Basis Functions
String representation of the Fourier Basis Functions

Definition Classes
Fourier → AnyRef → Any
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@native() @throws( ... )
val Σ: MatrixD

Attributes
protected
Definition Classes
DBasisFunction
val Φ: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val Φt: MatrixD

Attributes
protected
Definition Classes
BasisFunction
val ΦtΦ: MatrixD

Attributes
protected
Definition Classes
BasisFunction

Packages

DFourier 

class DFourier extends Fourier with DBasisFunction

Instance Constructors

Value Members

Inherited from DBasisFunction

Value Members

Inherited from Fourier

Value Members

Inherited from Error

Value Members

Inherited from BasisFunction

Value Members

Inherited from AnyRef

Value Members

Inherited from Any

Value Members

Ungrouped

DFourier