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

_Laplace

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

AST node for the Laplace transform: laplace(e, t, s) in the grammar.

Computes L{e(t)} with Laplace variable s via the rule table in laplaceOf. The integration binder t is excluded from children per the _Functional convention; s names the output variable and appears free in the result.

eval applies laplaceOf and guards against the fixpoint (stays symbolic when the rule table cannot reduce the expression).

Value parameters

e

the time-domain expression to transform

s

the complex frequency variable (free in the result)

t

the time variable (binder -- excluded from children)

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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