trait BasisFunction extends AnyRef
The BasisFunction
trait provides a common framework for various Basis Functions.
They are a set of functions forming a basis whose orthogonal components form a
function space. Two functions 'f' and 'g' are orthogonal if their inner product is 0,
meaning <f, g> = 0.
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- abstract def bf(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
- abstract def getOrder: Int
Retrieves the order of the Basis function
- abstract def range(m: Int): Range
The range of basis functions for a specified order.
The range of basis functions for a specified order.
- m
the order of the basis function
- abstract def size(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
Concrete Value Members
- final def !=(arg0: Any): Boolean
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- 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
- 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
- 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
- final def asInstanceOf[T0]: T0
- Definition Classes
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- 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
- 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
- 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
- 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
- def clone(): AnyRef
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- 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
- 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
- final def eq(arg0: AnyRef): Boolean
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- def getCache(m: Int, t: VectoD): Array[MatrixD]
Retrieves the cached design matrices
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- val needCompute: Boolean
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- final def notifyAll(): Unit
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- def recomputeCache: Unit
Recompute cached matrices
- final def synchronized[T0](arg0: => T0): T0
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- val Φ: MatrixD
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- protected
- val Φt: MatrixD
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- val ΦtΦ: MatrixD
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