breeze.math.Complex

ComplexIsFractional

implicit object ComplexIsFractional extends ComplexIsFractional with ComplexOrdering

Implicit object providing scala.math.Fractional capabilities. Although complex numbers have no natural ordering, some kind of Ordering is required because Numeric extends Ordering. Hence, an ordering based upon the real then imaginary components is used.

Linear Supertypes
ComplexOrdering, ComplexIsFractional, Fractional[Complex], ComplexIsConflicted, Numeric[Complex], Ordering[Complex], PartialOrdering[Complex], Equiv[Complex], Serializable, Serializable, Comparator[Complex], AnyRef, Any
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Inherited
  1. ComplexIsFractional
  2. ComplexOrdering
  3. ComplexIsFractional
  4. Fractional
  5. ComplexIsConflicted
  6. Numeric
  7. Ordering
  8. PartialOrdering
  9. Equiv
  10. Serializable
  11. Serializable
  12. Comparator
  13. AnyRef
  14. Any
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Type Members

  1. class FractionalOps extends scala.math.Fractional.Ops

    Definition Classes
    Fractional

  2. class Ops extends AnyRef

    Definition Classes
    Numeric → Ordering

Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. def abs(x: Complex): Complex

    Definition Classes
    Numeric

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def clone(): AnyRef

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

  9. def compare(a: Complex, b: Complex): Int

    Definition Classes
    ComplexOrdering → Ordering → Comparator

  10. def div(x: Complex, y: Complex): Complex

    Definition Classes
    ComplexIsFractional → Fractional

  11. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  12. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  13. def equiv(x: Complex, y: Complex): Boolean

    Definition Classes
    Ordering → PartialOrdering → Equiv

  14. def finalize(): Unit

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

  15. def fromInt(x: Int): Complex

    Definition Classes
    ComplexIsConflicted → Numeric

  16. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  17. def gt(x: Complex, y: Complex): Boolean

    Definition Classes
    Ordering → PartialOrdering

  18. def gteq(x: Complex, y: Complex): Boolean

    Definition Classes
    Ordering → PartialOrdering

  19. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  20. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  21. def lt(x: Complex, y: Complex): Boolean

    Definition Classes
    Ordering → PartialOrdering

  22. def lteq(x: Complex, y: Complex): Boolean

    Definition Classes
    Ordering → PartialOrdering

  23. def max(x: Complex, y: Complex): Complex

    Definition Classes
    Ordering

  24. def min(x: Complex, y: Complex): Complex

    Definition Classes
    Ordering

  25. def minus(x: Complex, y: Complex): Complex

    Definition Classes
    ComplexIsConflicted → Numeric

  26. implicit def mkNumericOps(lhs: Complex): FractionalOps

    Definition Classes
    Fractional → Numeric

  27. implicit def mkOrderingOps(lhs: Complex): ComplexIsFractional.Ops

    Definition Classes
    Ordering

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

    Definition Classes
    AnyRef

  29. def negate(x: Complex): Complex

    Definition Classes
    ComplexIsConflicted → Numeric

  30. final def notify(): Unit

    Definition Classes
    AnyRef

  31. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  32. def on[U](f: (U) ⇒ Complex): Ordering[U]

    Definition Classes
    Ordering

  33. def one: Complex

    Definition Classes
    Numeric

  34. def plus(x: Complex, y: Complex): Complex

    Definition Classes
    ComplexIsConflicted → Numeric

  35. def reverse: Ordering[Complex]

    Definition Classes
    Ordering → PartialOrdering

  36. def reversed(): Comparator[Complex]

    Definition Classes
    Comparator

  37. def signum(x: Complex): Int

    Definition Classes
    Numeric

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

    Definition Classes
    AnyRef

  39. def thenComparing[U <: Comparable[_ >: U]](arg0: Function[_ >: Complex, _ <: U]): Comparator[Complex]

    Definition Classes
    Comparator

  40. def thenComparing[U](arg0: Function[_ >: Complex, _ <: U], arg1: Comparator[_ >: U]): Comparator[Complex]

    Definition Classes
    Comparator

  41. def thenComparing(arg0: Comparator[_ >: Complex]): Comparator[Complex]

    Definition Classes
    Comparator

  42. def thenComparingDouble(arg0: ToDoubleFunction[_ >: Complex]): Comparator[Complex]

    Definition Classes
    Comparator

  43. def thenComparingInt(arg0: ToIntFunction[_ >: Complex]): Comparator[Complex]

    Definition Classes
    Comparator

  44. def thenComparingLong(arg0: ToLongFunction[_ >: Complex]): Comparator[Complex]

    Definition Classes
    Comparator

  45. def times(x: Complex, y: Complex): Complex

    Definition Classes
    ComplexIsConflicted → Numeric

  46. def toDouble(x: Complex): Double

    Definition Classes
    ComplexIsConflicted → Numeric

  47. def toFloat(x: Complex): Float

    Definition Classes
    ComplexIsConflicted → Numeric

  48. def toInt(x: Complex): Int

    Definition Classes
    ComplexIsConflicted → Numeric

  49. def toLong(x: Complex): Long

    Definition Classes
    ComplexIsConflicted → Numeric

  50. def toString(): String

    Definition Classes
    AnyRef → Any

  51. def tryCompare(x: Complex, y: Complex): Some[Int]

    Definition Classes
    Ordering → PartialOrdering

  52. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  55. def zero: Complex

    Definition Classes
    Numeric

Inherited from ComplexOrdering

Inherited from ComplexIsFractional

Inherited from Fractional[Complex]

Inherited from ComplexIsConflicted

Inherited from Numeric[Complex]

Inherited from Ordering[Complex]

Inherited from PartialOrdering[Complex]

Inherited from Equiv[Complex]

Inherited from Serializable

Inherited from Serializable

Inherited from Comparator[Complex]

Inherited from AnyRef

Inherited from Any

Ungrouped