Variable

A Variable is a BDD node representing a Boolean variable.

Properties

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high the a BinaryDecisionDiagram that leads to a 1-terminal (a true terminal)

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open override val isTerminal: Boolean

Returns true if this node is a Terminal node.

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open override val isVariable: Boolean

Returns true if this node is a Variable node.

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abstract val low: BinaryDecisionDiagram<T>

low the a BinaryDecisionDiagram that leads to a 0-terminal (a false terminal)

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abstract val value: T

value represents the boolean variable

Functions

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open override fun <E> accept(visitor: BinaryDecisionDiagramVisitor<T, E>): E

Accepts an instance of BinaryDecisionDiagramVisitor as for the visitor pattern. This is the method of preference for exploring the inner structure of the diagram.

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Performs the "And" unary boolean operation over two BinaryDecisionDiagrams. The result is a Reduced Ordered Binary Decision Diagram (ROBDD).

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fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.andThenExpansion(that: BinaryDecisionDiagram<T>, expansionFalseTerminal: E, expansionTrueTerminal: E, expansionOperator: (node: T, low: E, high: E) -> E): Pair<BinaryDecisionDiagram<T>, E>

Performs the "And" unary boolean operation over two BinaryDecisionDiagrams and computes a value using the Shannon Expansion over the result. The result is an instance of Pair of which Pair.first is the Reduced Ordered Binary Decision Diagram (ROBDD) produced by the operation, and Pair.second is the value of type T computed with the Shannon Expansion.

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Returns true if the BinaryDecisionDiagram has at least one variable element.

fun <T : Comparable<T>> BinaryDecisionDiagram<T>.any(predicate: (T) -> Boolean): Boolean

Returns true if the BinaryDecisionDiagram has at least one variable element matching the given predicate.

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Applies the "Apply" construction algorithm over BinaryDecisionDiagrams using a given boolean operator. The result is a Reduced Ordered Binary Decision Diagram (ROBDD).

Applies the "Apply" construction algorithm over two BinaryDecisionDiagrams using a given boolean operator. The result is a Reduced Ordered Binary Decision Diagram (ROBDD).

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fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.applyThenExpansion(unaryOp: (Boolean) -> Boolean, expansionFalseTerminal: E, expansionTrueTerminal: E, expansionOperator: (node: T, low: E, high: E) -> E): Pair<BinaryDecisionDiagram<T>, E>

Applies the "Apply" construction algorithm over BinaryDecisionDiagrams using a given boolean operator, and computes a value using the Shannon Expansion over the result. The result is an instance of Pair of which Pair.first is the Reduced Ordered Binary Decision Diagram (ROBDD) produced by the operation, and Pair.second is the value of type T computed with the Shannon Expansion.

fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.applyThenExpansion(that: BinaryDecisionDiagram<T>, binaryOp: (Boolean, Boolean) -> Boolean, expansionFalseTerminal: E, expansionTrueTerminal: E, expansionOperator: (node: T, low: E, high: E) -> E): Pair<BinaryDecisionDiagram<T>, E>

Applies the "Apply" construction algorithm over two BinaryDecisionDiagrams using a given boolean operator, and computes a value using the Shannon Expansion over the result. The result is an instance of Pair of which Pair.first is the Reduced Ordered Binary Decision Diagram (ROBDD) produced by the operation, and Pair.second is the value of type T computed with the Shannon Expansion.

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Returns the number of variable nodes contained in a BinaryDecisionDiagram.

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fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.expansion(falseTerminal: E, trueTerminal: E, operator: (node: T, low: E, high: E) -> E): E

Applies a given operation over a BinaryDecisionDiagram using the Shannon Expansion. The result is a reduction of a given diagram, determined by applying an operation recursively over a BDD with bottom-up order.

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Returns a BinaryDecisionDiagram containing nodes of applying the given transform function to each element in the original BinaryDecisionDiagram. The internal structure of the diagram is maintained.

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Performs the "Not" unary boolean operation over a BinaryDecisionDiagram. The result is a Reduced Ordered Binary Decision Diagram (ROBDD).

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fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.notThenExpansion(expansionFalseTerminal: E, expansionTrueTerminal: E, expansionOperator: (node: T, low: E, high: E) -> E): Pair<BinaryDecisionDiagram<T>, E>

Performs the "Not" unary boolean operation over a BinaryDecisionDiagram and computes a value using the Shannon Expansion over the result. The result is an instance of Pair of which Pair.first is the Reduced Ordered Binary Decision Diagram (ROBDD) produced by the operation, and Pair.second is the value of type T computed with the Shannon Expansion.

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Performs the "Or" unary boolean operation over two BinaryDecisionDiagrams. The result is a Reduced Ordered Binary Decision Diagram (ROBDD).

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fun <T : Comparable<T>, E> BinaryDecisionDiagram<T>.orThenExpansion(that: BinaryDecisionDiagram<T>, expansionFalseTerminal: E, expansionTrueTerminal: E, expansionOperator: (node: T, low: E, high: E) -> E): Pair<BinaryDecisionDiagram<T>, E>

Performs the "Or" unary boolean operation over two BinaryDecisionDiagrams and computes a value using the Shannon Expansion over the result. The result is an instance of Pair of which Pair.first is the Reduced Ordered Binary Decision Diagram (ROBDD) produced by the operation, and Pair.second is the value of type T computed with the Shannon Expansion.

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Formats a BinaryDecisionDiagram using Graphviz DOT notation (https://graphviz.org/). This provides a fast and widely supported solution to visualize the contents of a BDD.