Trait/Object

spire.math

Fractional

Related Docs: object Fractional | package math

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trait Fractional[A] extends Field[A] with NRoot[A] with Integral[A]

Linear Supertypes
Integral[A], IsReal[A], Signed[A], Order[A], PartialOrder[A], Eq[A], ConvertableTo[A], ConvertableFrom[A], NRoot[A], Field[A], EuclideanRing[A], GCDRing[A], Field[A], MultiplicativeCommutativeGroup[A], MultiplicativeGroup[A], CommutativeRing[A], CommutativeRng[A], CommutativeRig[A], MultiplicativeCommutativeMonoid[A], CommutativeSemiring[A], MultiplicativeCommutativeSemigroup[A], Ring[A], Rng[A], AdditiveCommutativeGroup[A], AdditiveGroup[A], Rig[A], MultiplicativeMonoid[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], AdditiveMonoid[A], AdditiveSemigroup[A], Serializable, Serializable, Any
Known Subclasses
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Fractional
  2. Integral
  3. IsReal
  4. Signed
  5. Order
  6. PartialOrder
  7. Eq
  8. ConvertableTo
  9. ConvertableFrom
  10. NRoot
  11. Field
  12. EuclideanRing
  13. GCDRing
  14. Field
  15. MultiplicativeCommutativeGroup
  16. MultiplicativeGroup
  17. CommutativeRing
  18. CommutativeRng
  19. CommutativeRig
  20. MultiplicativeCommutativeMonoid
  21. CommutativeSemiring
  22. MultiplicativeCommutativeSemigroup
  23. Ring
  24. Rng
  25. AdditiveCommutativeGroup
  26. AdditiveGroup
  27. Rig
  28. MultiplicativeMonoid
  29. Semiring
  30. MultiplicativeSemigroup
  31. AdditiveCommutativeMonoid
  32. AdditiveCommutativeSemigroup
  33. AdditiveMonoid
  34. AdditiveSemigroup
  35. Serializable
  36. Serializable
  37. Any
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Visibility
  1. Public
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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 div(x: A, y: A): A

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    Definition Classes
    MultiplicativeGroup
  5. 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
  6. abstract def fpow(a: A, b: A): A

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    Definition Classes
    NRoot
  7. abstract def fromAlgebraic(n: Algebraic): A

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    Definition Classes
    ConvertableTo
  8. abstract def fromBigDecimal(n: BigDecimal): A

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    Definition Classes
    ConvertableTo
  9. abstract def fromByte(n: Byte): A

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    Definition Classes
    ConvertableTo
  10. abstract def fromFloat(n: Float): A

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    Definition Classes
    ConvertableTo
  11. abstract def fromLong(n: Long): A

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    Definition Classes
    ConvertableTo
  12. abstract def fromRational(n: Rational): A

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    Definition Classes
    ConvertableTo
  13. abstract def fromReal(n: Real): A

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    Definition Classes
    ConvertableTo
  14. abstract def fromShort(n: Short): A

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    Definition Classes
    ConvertableTo
  15. abstract def fromType[B](b: B)(implicit arg0: ConvertableFrom[B]): A

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    Definition Classes
    ConvertableTo
  16. abstract def gcd(a: A, b: A)(implicit ev: Eq[A]): A

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    Definition Classes
    GCDRing
  17. abstract def getClass(): Class[_]

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    Definition Classes
    Any
  18. 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
  19. abstract def lcm(a: A, b: A)(implicit ev: Eq[A]): A

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    Definition Classes
    GCDRing
  20. abstract def negate(x: A): A

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    Definition Classes
    AdditiveGroup
  21. abstract def nroot(a: A, n: Int): A

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    Definition Classes
    NRoot
  22. abstract def one: A

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    Definition Classes
    MultiplicativeMonoid
  23. abstract def plus(x: A, y: A): A

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    Definition Classes
    AdditiveSemigroup
  24. 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
  25. abstract def signum(a: A): Int

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    Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.

    Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.

    Definition Classes
    Signed
  26. abstract def times(x: A, y: A): A

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    Definition Classes
    MultiplicativeSemigroup
  27. abstract def toAlgebraic(a: A): Algebraic

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    Definition Classes
    ConvertableFrom
  28. abstract def toBigDecimal(a: A): BigDecimal

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    Definition Classes
    ConvertableFrom
  29. abstract def toBigInt(a: A): BigInt

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    Definition Classes
    ConvertableFrom
  30. abstract def toByte(a: A): Byte

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    Definition Classes
    ConvertableFrom
  31. abstract def toDouble(a: A): Double

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    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    IsReal
  32. abstract def toFloat(a: A): Float

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    Definition Classes
    ConvertableFrom
  33. abstract def toInt(a: A): Int

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    Definition Classes
    ConvertableFrom
  34. abstract def toLong(a: A): Long

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    Definition Classes
    ConvertableFrom
  35. abstract def toNumber(a: A): Number

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    Definition Classes
    ConvertableFrom
  36. abstract def toRational(a: A): Rational

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    Definition Classes
    ConvertableFrom
  37. abstract def toReal(a: A): Real

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    Definition Classes
    IsReal
  38. abstract def toShort(a: A): Short

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    Definition Classes
    ConvertableFrom
  39. abstract def toString(a: A): String

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    Definition Classes
    ConvertableFrom
  40. abstract def toType[B](a: A)(implicit arg0: ConvertableTo[B]): B

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    Definition Classes
    ConvertableFrom
  41. abstract def zero: A

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    Definition Classes
    AdditiveMonoid

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. def additive: CommutativeGroup[A]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  5. def and(that: Eq[A]): Eq[A]

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

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

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

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

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    Definition Classes
    Order → PartialOrder → Eq
  10. def euclideanFunction(a: A): BigInt

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    Definition Classes
    FieldEuclideanRing
  11. def fromBigInt(n: BigInt): A

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    Definition Classes
    Ring
  12. def fromDouble(a: Double): A

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    Definition Classes
    Field
  13. def fromInt(n: Int): A

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    Definition Classes
    Ring
  14. def gt(x: A, y: A): Boolean

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

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

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

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    Definition Classes
    Any
  18. def isOne(a: A)(implicit ev: Eq[A]): Boolean

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    Definition Classes
    MultiplicativeMonoid
  19. def isSignNegative(a: A): Boolean

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

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

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

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

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

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    Definition Classes
    Signed
  25. def isZero(a: A)(implicit ev: Eq[A]): Boolean

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    Definition Classes
    AdditiveMonoid
  26. def lt(x: A, y: A): Boolean

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

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

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

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    Definition Classes
    Order
  30. def minus(x: A, y: A): A

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    Definition Classes
    AdditiveGroup
  31. def mod(a: A, b: A): A

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    Definition Classes
    FieldEuclideanRing
  32. def multiplicative: CommutativeGroup[A]

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    Definition Classes
    MultiplicativeCommutativeGroup → MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
  33. def neqv(x: A, y: A): Boolean

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

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

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

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

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

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

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    Definition Classes
    PartialOrder
  40. def positivePow(a: A, n: Int): A

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup
  41. def positiveSumN(a: A, n: Int): A

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  42. def pow(a: A, n: Int): A

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    Definition Classes
    MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
  43. def product(as: TraversableOnce[A]): A

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    Definition Classes
    MultiplicativeMonoid
  44. def quot(a: A, b: A): A

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    Definition Classes
    FieldEuclideanRing
  45. def quotmod(a: A, b: A): (A, A)

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    Definition Classes
    FieldEuclideanRing
  46. def reciprocal(x: A): A

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    Definition Classes
    MultiplicativeGroup
  47. def reverse: Order[A]

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    Definition Classes
    Order → PartialOrder
  48. 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
  49. def sqrt(a: A): A

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    Definition Classes
    NRoot
  50. def sum(as: TraversableOnce[A]): A

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    Definition Classes
    AdditiveMonoid
  51. def sumN(a: A, n: Int): A

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  52. def toOrdering: Ordering[A]

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    Definition Classes
    Order
  53. def toString(): String

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

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    Definition Classes
    PartialOrder
  55. def tryProduct(as: TraversableOnce[A]): Option[A]

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  56. def trySum(as: TraversableOnce[A]): Option[A]

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup
  57. def whenEqual(o: Order[A]): Order[A]

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    Definition Classes
    Order

Inherited from Integral[A]

Inherited from IsReal[A]

Inherited from Signed[A]

Inherited from Order[A]

Inherited from PartialOrder[A]

Inherited from Eq[A]

Inherited from ConvertableTo[A]

Inherited from ConvertableFrom[A]

Inherited from NRoot[A]

Inherited from Field[A]

Inherited from EuclideanRing[A]

Inherited from GCDRing[A]

Inherited from Field[A]

Inherited from MultiplicativeCommutativeGroup[A]

Inherited from MultiplicativeGroup[A]

Inherited from CommutativeRing[A]

Inherited from CommutativeRng[A]

Inherited from CommutativeRig[A]

Inherited from MultiplicativeCommutativeMonoid[A]

Inherited from CommutativeSemiring[A]

Inherited from MultiplicativeCommutativeSemigroup[A]

Inherited from Ring[A]

Inherited from Rng[A]

Inherited from AdditiveCommutativeGroup[A]

Inherited from AdditiveGroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped