spire.math

Fractional

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

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Inherited
  1. Fractional
  2. Integral
  3. Signed
  4. Order
  5. Eq
  6. ConvertableTo
  7. ConvertableFrom
  8. NRoot
  9. Field
  10. MultiplicativeAbGroup
  11. MultiplicativeGroup
  12. EuclideanRing
  13. Ring
  14. Rng
  15. AdditiveAbGroup
  16. AdditiveGroup
  17. Rig
  18. MultiplicativeMonoid
  19. AdditiveMonoid
  20. Semiring
  21. MultiplicativeSemigroup
  22. AdditiveSemigroup
  23. AnyRef
  24. Any
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Abstract Value Members

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

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

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

    Definition Classes
    Order
  4. abstract def div(x: A, y: A): A

    Definition Classes
    MultiplicativeGroup
  5. abstract def floor(a: A): A

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

    Definition Classes
    NRoot
  7. abstract def fromBigDecimal(n: BigDecimal): A

    Definition Classes
    ConvertableTo
  8. abstract def fromBigInt(n: BigInt): A

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

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

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

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

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

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

    Definition Classes
    ConvertableTo
  15. abstract def gcd(a: A, b: A): A

    Definition Classes
    EuclideanRing
  16. abstract def isWhole(a: A): Boolean

    Definition Classes
    Field
  17. abstract def mod(a: A, b: A): A

    Definition Classes
    EuclideanRing
  18. abstract def negate(x: A): A

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

    Definition Classes
    NRoot
  20. abstract def one: A

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

    Definition Classes
    AdditiveSemigroup
  22. abstract def quot(a: A, b: A): A

    Definition Classes
    EuclideanRing
  23. abstract def round(a: A): A

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

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

    Definition Classes
    MultiplicativeSemigroup
  26. abstract def toBigDecimal(a: A): BigDecimal

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

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

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

    Definition Classes
    ConvertableFrom
  30. abstract def toFloat(a: A): Float

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

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

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

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

    Definition Classes
    ConvertableFrom
  35. abstract def toShort(a: A): Short

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

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

    Definition Classes
    ConvertableFrom
  38. abstract def zero: A

    Definition Classes
    AdditiveMonoid

Concrete 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 additive: AbGroup[A]

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  9. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  10. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  11. def eqv(x: A, y: A): Boolean

    Definition Classes
    OrderEq
  12. final def euclid(a: A, b: A)(implicit eq: Eq[A]): A

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  13. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  14. def fromDouble(a: Double): A

    This is implemented in terms of basic Field ops.

    This is implemented in terms of basic Field ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended that this method is overriden.

    This is possible because a Double is a rational number.

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

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

    Definition Classes
    AnyRef → Any
  17. def gt(x: A, y: A): Boolean

    Definition Classes
    Order
  18. def gteqv(x: A, y: A): Boolean

    Definition Classes
    Order
  19. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  20. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  21. def isNegative(x: A): Boolean

    Definition Classes
    Integral
  22. def isNonzero(x: A): Boolean

    Definition Classes
    Integral
  23. def isPositive(x: A): Boolean

    Definition Classes
    Integral
  24. def isZero(x: A): Boolean

    Definition Classes
    Integral
  25. def lcm(a: A, b: A): A

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

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

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

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

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

    Definition Classes
    AdditiveGroup
  31. def multiplicative: AbGroup[A]

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

    Definition Classes
    AnyRef
  33. def neqv(x: A, y: A): Boolean

    Definition Classes
    Eq
  34. final def notify(): Unit

    Definition Classes
    AnyRef
  35. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  36. def on[B](f: (B) ⇒ A): Order[B]

    Definition Classes
    OrderEq
  37. def pow(a: A, n: Int): A

    Definition Classes
    RigSemiring
  38. def quotmod(a: A, b: A): (A, A)

    Definition Classes
    EuclideanRing
  39. def reciprocal(x: A): A

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

    Definition Classes
    Order
  41. def sign(a: A): Sign

    Definition Classes
    Signed
  42. def sqrt(a: A): A

    Definition Classes
    NRoot
  43. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  44. def toString(): String

    Definition Classes
    AnyRef → Any
  45. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  46. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  47. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

Inherited from Integral[A]

Inherited from Signed[A]

Inherited from Order[A]

Inherited from Eq[A]

Inherited from ConvertableTo[A]

Inherited from ConvertableFrom[A]

Inherited from NRoot[A]

Inherited from Field[A]

Inherited from MultiplicativeAbGroup[A]

Inherited from MultiplicativeGroup[A]

Inherited from EuclideanRing[A]

Inherited from Ring[A]

Inherited from Rng[A]

Inherited from AdditiveAbGroup[A]

Inherited from AdditiveGroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from AdditiveMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveSemigroup[A]

Inherited from AnyRef

Inherited from Any

Ungrouped