Packages

object BFMSS extends ZeroBoundFunction with Product with Serializable

An implementation of "A Separation Bound for Real Algebraic Expressions", by Burnikel, Funke, Mehlhorn, Schirra, and Schmitt. This provides a good ZeroBoundFunction for use in sign tests.

Unlike the paper, we use log-arithmetic instead of working with exact, big integer values. This means our bound isn't technically as good as it could be, but we save the cost of working with arithmetic. We also perform all log arithmetic using Longs and check for overflow (throwing ArithmeticExceptions when detected). In practice we shouldn't hit this limit, but in case we do, we prefer to throw over failing silently.

Annotations
@SerialVersionUID()
Linear Supertypes
Serializable, Serializable, Product, Equals, ZeroBoundFunction, AnyRef, Any
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  1. BFMSS
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. ZeroBoundFunction
  7. AnyRef
  8. Any
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Type Members

  1. final case class Bound (l: Long, u: Long) extends Product with Serializable

    Our state that we store, per node.

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 apply(expr: Expr): Bound
    Definition Classes
    BFMSS → ZeroBoundFunction
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  9. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  10. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. final def notify(): Unit
    Definition Classes
    AnyRef
  14. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  15. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  16. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  17. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  18. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Serializable

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from ZeroBoundFunction

Inherited from AnyRef

Inherited from Any

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