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Leonardo/it.grypho.scala.leonardo/it.grypho.scala.leonardo.transform/_Fourier

_Fourier

it.grypho.scala.leonardo.transform._Fourier
case class _Fourier(e: _Expression, t: _Variable, w: _Variable) extends _Functional

AST node for the Fourier transform: fourier(e, t, w) in the grammar.

Computes the unilateral Fourier transform F{e(t)} with frequency variable w via the Laplace-to-Fourier substitution s -> i*w (see fourierOf). Results are generally complex-valued. The binder t is excluded from children; w appears free in the result.

eval applies fourierOf and guards against the fixpoint.

Value parameters

e

the time-domain expression to transform

t

the time variable (binder -- excluded from children)

w

the angular frequency variable (free in the result)

Attributes

Graph
Supertypes
trait Serializable
trait Product
trait Equals
class _Functional
trait _Expression
class Object
trait Matchable
class Any
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Members list

Value members

Concrete methods

override def children: List[_Expression]

Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.

Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.

Attributes

Definition Classes
override def eval(env: Environment): Either[_Expression, _Value]

Reduces this expression in the given environment.

Reduces this expression in the given environment.

Value parameters

env

variable bindings and display precision

Attributes

Returns

Right(v) when all free variables resolved to concrete values; Left(e) when reduction is partial or impossible

Definition Classes
override def rebuild(c: List[_Expression]): _Expression

Reconstructs the same node shape with replacement sub-expressions.

Reconstructs the same node shape with replacement sub-expressions.

Value parameters

newChildren

replacements in the same order and count as children

Attributes

Definition Classes
override def toString: String

Returns a string representation of the object.

Returns a string representation of the object.

The default representation is platform dependent.

Attributes

Returns

a string representation of the object.

Definition Classes
Any

Inherited methods

def productElementNames: Iterator[String]

Attributes

Inherited from:
Product
def productIterator: Iterator[Any]

Attributes

Inherited from:
Product

Inherited fields

lazy val freeVars: Set[String]

Cached set of free variable names; O(1) after the first access.

Cached set of free variable names; O(1) after the first access.

Attributes

Inherited from:
_Expression
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