spire.algebra

IsRational

trait IsRational[A] extends IsAlgebraic[A]

Linear Supertypes
IsAlgebraic[A], IsReal[A], Signed[A], Order[A], PartialOrder[A], Eq[A], Any
Known Subclasses
BigDecimalAlgebra, BigDecimalIsReal, BigIntAlgebra, BigIntIsReal, BigIntegerAlgebra, BigIntegerIsReal, ByteAlgebra, ByteIsReal, DoubleAlgebra, DoubleIsReal, FloatAlgebra, FloatIsReal, IntAlgebra, IntIsReal, IsIntegral, LongAlgebra, LongIsReal, NaturalAlgebra, NumberAlgebra, RationalAlgebra, SafeLongIsReal, ShortAlgebra, ShortIsReal
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. IsRational
  2. IsAlgebraic
  3. IsReal
  4. Signed
  5. Order
  6. PartialOrder
  7. Eq
  8. Any
  1. Hide All
  2. Show all
Learn more about member selection
Visibility
  1. Public
  2. All

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. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  5. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  6. def eqv(x: A, y: A): Boolean

    Returns true if x and y are equivalent, false otherwise.

    Returns true if x and y are equivalent, false otherwise.

    Definition Classes
    Order → PartialOrder → Eq

  7. def gt(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder

  8. def gteqv(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder

  9. def hashCode(): Int

    Definition Classes
    Any

  10. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  11. def isSignNegative(a: A): Boolean

    Definition Classes
    Signed

  12. def isSignNonNegative(a: A): Boolean

    Definition Classes
    Signed

  13. def isSignNonPositive(a: A): Boolean

    Definition Classes
    Signed

  14. def isSignNonZero(a: A): Boolean

    Definition Classes
    Signed

  15. def isSignPositive(a: A): Boolean

    Definition Classes
    Signed

  16. def isSignZero(a: A): Boolean

    Definition Classes
    Signed

  17. def lt(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder

  18. def lteqv(x: A, y: A): Boolean

    Definition Classes
    Order → PartialOrder

  19. def max(x: A, y: A): A

    Definition Classes
    Order

  20. def min(x: A, y: A): A

    Definition Classes
    Order

  21. def neqv(x: A, y: A): Boolean

    Returns false if x and y are equivalent, true otherwise.

    Returns false if x and y are equivalent, true otherwise.

    Definition Classes
    Eq

  22. def on[B](f: (B) ⇒ A): Order[B]

    Defines an order on B by mapping B to A using f and using As order to order B.

    Defines an order on B by mapping B to A using f and using As order to order B.

    Definition Classes
    Order → PartialOrder → Eq

  23. def partialCompare(x: A, y: A): Double

    Result of comparing x with y.

    Result of comparing x with y. Returns NaN if operands are not comparable. If operands are comparable, returns a Double whose sign is: - negative iff x < y - zero iff x === y - positive iff x > y

    Definition Classes
    Order → PartialOrder

  24. def pmax(x: A, y: A): Option[A]

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Definition Classes
    PartialOrder

  25. def pmin(x: A, y: A): Option[A]

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Definition Classes
    PartialOrder

  26. def reverse: Order[A]

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    Order → PartialOrder

  27. 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

  28. def toAlgebraic(a: A): Algebraic

    Definition Classes
    IsRational → IsAlgebraic

  29. def toReal(a: A): Real

    Definition Classes
    IsAlgebraic → IsReal

  30. def toString(): String

    Definition Classes
    Any

  31. def tryCompare(x: A, y: A): Option[Int]

    Result of comparing x with y.

    Result of comparing x with y. Returns None if operands are not comparable. If operands are comparable, returns Some[Int] where the Int sign is: - negative iff x < y - zero iff x == y - positive iff x > y

    Definition Classes
    PartialOrder

Inherited from IsAlgebraic[A]

Inherited from IsReal[A]

Inherited from Signed[A]

Inherited from Order[A]

Inherited from PartialOrder[A]

Inherited from Eq[A]

Inherited from Any

Ungrouped