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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 Value Members

  1. 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

  2. abstract def getOrder: Int

    Retrieves the order of the Basis function

  3. 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

  4. 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

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. 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

  5. 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

  6. 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

  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. 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

  9. 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

  10. 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

  11. 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

  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  13. 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

  14. 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

  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  17. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  18. def getCache(m: Int, t: VectoD): Array[MatrixD]

    Retrieves the cached design matrices

  19. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  20. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  21. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  22. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. val needCompute: Boolean
    Attributes
    protected
  24. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  26. def recomputeCache: Unit

    Recompute cached matrices

  27. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  28. def toString(): String
    Definition Classes
    AnyRef → Any
  29. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  30. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  31. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  32. val Φ: MatrixD
    Attributes
    protected
  33. val Φt: MatrixD
    Attributes
    protected
  34. val ΦtΦ: MatrixD
    Attributes
    protected

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