spire.algebra

IsRational

trait IsRational[A] extends IsAlgebraic[A]

Linear Supertypes
IsAlgebraic[A], IsReal[A], Signed[A], cats.kernel.Order[A], cats.kernel.PartialOrder[A], cats.kernel.Eq[A], Serializable, Serializable, Any
Known Subclasses
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Inherited
  1. IsRational
  2. IsAlgebraic
  3. IsReal
  4. Signed
  5. Order
  6. PartialOrder
  7. Eq
  8. Serializable
  9. Serializable
  10. Any
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Abstract Value Members

  1. abstract def abs(a: A): A

    An idempotent function that ensures an object has a non-negative sign.

    An idempotent function that ensures an object has a non-negative sign.

    Definition Classes
    Signed
  2. abstract def ceil(a: A): A

    Rounds a the nearest integer that is greater than or equal to a.

    Rounds a the nearest integer that is greater than or equal to a.

    Definition Classes
    IsReal
  3. abstract def compare(x: A, y: A): Int

    Definition Classes
    Order
  4. abstract def floor(a: A): A

    Rounds a the nearest integer that is less than or equal to a.

    Rounds a the nearest integer that is less than or equal to a.

    Definition Classes
    IsReal
  5. abstract def getClass(): Class[_]

    Definition Classes
    Any
  6. abstract def isWhole(a: A): Boolean

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

    Definition Classes
    IsReal
  7. abstract def round(a: A): A

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    IsReal
  8. abstract def signum(a: A): Int

    Returns 0 if a is 0, > 0 if a is positive, and < 0 is a is negative.

    Returns 0 if a is 0, > 0 if a is positive, and < 0 is a is negative.

    Definition Classes
    Signed
  9. abstract def toDouble(a: A): Double

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    IsReal
  10. abstract def toRational(a: A): Rational

Concrete Value Members

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

    Definition Classes
    Any
  2. final def ##(): Int

    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  4. def and(that: cats.kernel.Eq[A]): cats.kernel.Eq[A]

    Definition Classes
    Eq
  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  6. def comparison(x: A, y: A): Comparison

    Definition Classes
    Order
  7. def equals(arg0: Any): Boolean

    Definition Classes
    Any
  8. def eqv(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder → Eq
  9. def gt(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder
  10. def gteqv(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder
  11. def hashCode(): Int

    Definition Classes
    Any
  12. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  13. def isSignNegative(a: A): Boolean

    Definition Classes
    Signed
  14. def isSignNonNegative(a: A): Boolean

    Definition Classes
    Signed
  15. def isSignNonPositive(a: A): Boolean

    Definition Classes
    Signed
  16. def isSignNonZero(a: A): Boolean

    Definition Classes
    Signed
  17. def isSignPositive(a: A): Boolean

    Definition Classes
    Signed
  18. def isSignZero(a: A): Boolean

    Definition Classes
    Signed
  19. def lt(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder
  20. def lteqv(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder
  21. def max(x: A, y: A): A

    Definition Classes
    Order
  22. def min(x: A, y: A): A

    Definition Classes
    Order
  23. def neqv(x: A, y: A): Boolean

    Definition Classes
    Order → Eq
  24. def on[B](f: (B) ⇒ A): cats.kernel.Order[B]

    Definition Classes
    Order → PartialOrder → Eq
  25. def or(that: cats.kernel.Eq[A]): cats.kernel.Eq[A]

    Definition Classes
    Eq
  26. def partialCompare(x: A, y: A): Double

    Definition Classes
    Order → PartialOrder
  27. def partialComparison(x: A, y: A): Option[Comparison]

    Definition Classes
    PartialOrder
  28. def pmax(x: A, y: A): Option[A]

    Definition Classes
    PartialOrder
  29. def pmin(x: A, y: A): Option[A]

    Definition Classes
    PartialOrder
  30. def reverse: cats.kernel.Order[A]

    Definition Classes
    Order → PartialOrder
  31. def sign(a: A): Sign

    Returns Zero if a is 0, Positive if a is positive, and Negative is a is negative.

    Returns Zero if a is 0, Positive if a is positive, and Negative is a is negative.

    Definition Classes
    Signed
  32. def toAlgebraic(a: A): Algebraic

    Definition Classes
    IsRationalIsAlgebraic
  33. def toOrdering: Ordering[A]

    Definition Classes
    Order
  34. def toReal(a: A): Real

    Definition Classes
    IsAlgebraicIsReal
  35. def toString(): String

    Definition Classes
    Any
  36. def tryCompare(x: A, y: A): Option[Int]

    Definition Classes
    PartialOrder
  37. def whenEqual(o: cats.kernel.Order[A]): cats.kernel.Order[A]

    Definition Classes
    Order

Inherited from IsAlgebraic[A]

Inherited from IsReal[A]

Inherited from Signed[A]

Inherited from cats.kernel.Order[A]

Inherited from cats.kernel.PartialOrder[A]

Inherited from cats.kernel.Eq[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped