Leonardo
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Leonardo/it.grypho.scala.leonardo/it.grypho.scala.leonardo.matrix/Determinant

Determinant

it.grypho.scala.leonardo.matrix.Determinant
case class Determinant(m: _Expression) extends _Expression

Determinant of a matrix: det(A) -- a SCALAR result.

Deliberately does NOT extend _MatrixOperation (and isMatrixShaped must not match it), so 2 * det(A) builds a scalar Product, not a matrix scale -- the same design as _MatrixIndex.

eval reduces the operand: a dense value uses the O(n^3) _MatrixValue.determinant kernel; a symbolic square matrix expands by cofactors (capped at MaxSymbolicDim); non-square or over-cap operands stay symbolic.

Value parameters

m

the matrix expression whose determinant to compute

Attributes

Graph
Supertypes
trait Serializable
trait Product
trait Equals
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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