basis.math

IntervalField

trait IntervalField extends IntervalRing with Field

A field of closed sets between two elements of an ordered field.

Self Type
IntervalField
Source
IntervalField.scala
Version

0.1

Since

0.1

Linear Supertypes
Field, IntervalRing, Ring, AnyRef, Any
Known Subclasses
RInterval
Type Hierarchy Learn more about scaladoc diagrams
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Inherited
  1. IntervalField
  2. Field
  3. IntervalRing
  4. Ring
  5. AnyRef
  6. Any
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Visibility
  1. Public
  2. All

Type Members

  1. type Element = Interval

    The type of elements in this interval field; equivalent to the type of intervals.

    The type of elements in this interval field; equivalent to the type of intervals.

    Definition Classes
    IntervalField → Field → IntervalRing → Ring

  2. trait FieldElement extends RingElement

    Definition Classes
    Field

  3. abstract type Interval <: IntervalFieldElement

    The type of intervals in this interval field.

    The type of intervals in this interval field.

    Definition Classes
    IntervalField → IntervalRing

  4. trait IntervalFieldElement extends IntervalRingElement with FieldElement

    A closed set of elements between two points of an ordered field.

  5. trait IntervalRingElement extends RingElement

    A closed set of elements between two points of an ordered ring.

    A closed set of elements between two points of an ordered ring.

    Definition Classes
    IntervalRing

  6. trait RingElement extends Any

    An element in this ring.

    An element in this ring.

    Definition Classes
    Ring

  7. type Scalar = OrderedField.Element

    The type of scalars in this interval field.

    The type of scalars in this interval field.

    Definition Classes
    IntervalRing

Abstract Value Members

  1. abstract val Scalar: OrderedField

    Returns the scalar set of this interval field.

    Returns the scalar set of this interval field.

    Definition Classes
    IntervalField → IntervalRing

  2. abstract def apply(lower: Scalar, upper: Scalar): Interval

    Returns a new interval with inclusive lower and upper bounds.

    Returns a new interval with inclusive lower and upper bounds.

    Definition Classes
    IntervalField → IntervalRing

Concrete 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. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  5. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  6. implicit def degenerate(value: Scalar): Interval

    Returns a degenerate interval spanning a single point.

    Returns a degenerate interval spanning a single point.

    Definition Classes
    IntervalField → IntervalRing

  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. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  12. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  13. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  14. final def notify(): Unit

    Definition Classes
    AnyRef

  15. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  16. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  17. def toString(): String

    Definition Classes
    AnyRef → Any

  18. def unapply(interval: Interval): Option[(Scalar, Scalar)]

    Extracts the lower and upper bounds from an interval.

    Extracts the lower and upper bounds from an interval.

    Definition Classes
    IntervalField → IntervalRing

  19. def unit: Interval

    Returns the multiplicative identity of this interval field.

    Returns the multiplicative identity of this interval field.

    Definition Classes
    IntervalField → Field → IntervalRing → Ring

  20. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  21. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  22. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  23. def zero: Interval

    Returns the additive identity of this interval field.

    Returns the additive identity of this interval field.

    Definition Classes
    IntervalField → Field → IntervalRing → Ring

Inherited from Field

Inherited from IntervalRing

Inherited from Ring

Inherited from AnyRef

Inherited from Any

Ungrouped