Trait/Object

spire.algebra

IsAlgebraic

Related Docs: object IsAlgebraic | package algebra

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trait IsAlgebraic[A] extends IsReal[A]

Linear Supertypes
IsReal[A], Signed[A], Order[A], PartialOrder[A], Eq[A], Any
Known Subclasses
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. IsAlgebraic
  2. IsReal
  3. Signed
  4. Order
  5. PartialOrder
  6. Eq
  7. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

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

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    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

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    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

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

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    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[_]

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

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    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

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    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

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

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    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 toAlgebraic(a: A): Algebraic

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  10. abstract def toDouble(a: A): Double

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    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    IsReal

Concrete Value Members

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

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

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

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    Definition Classes
    Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. def equals(arg0: Any): Boolean

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

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

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

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

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

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    Definition Classes
    OrderPartialOrder
  9. def hashCode(): Int

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

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

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

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

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

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

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

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

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

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    Definition Classes
    OrderPartialOrder
  19. def max(x: A, y: A): A

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

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

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    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]

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

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

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    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]

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    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]

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    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    OrderPartialOrder
  27. def sign(a: A): Sign

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    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 toReal(a: A): Real

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    Definition Classes
    IsAlgebraicIsReal
  29. def toString(): String

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

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    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 IsReal[A]

Inherited from Signed[A]

Inherited from Order[A]

Inherited from PartialOrder[A]

Inherited from Eq[A]

Inherited from Any

Ungrouped