Packages

trait Integral[A] extends EuclideanRing[A] with ConvertableFrom[A] with ConvertableTo[A] with IsReal[A]

Integral number types, where / is truncated division.

Linear Supertypes
IsReal[A], Signed[A], Order[A], PartialOrder[A], Eq[A], ConvertableTo[A], ConvertableFrom[A], EuclideanRing[A], GCDRing[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
Fractional, RealAlgebra, RealIsFractional
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Integral
  2. IsReal
  3. Signed
  4. Order
  5. PartialOrder
  6. Eq
  7. ConvertableTo
  8. ConvertableFrom
  9. EuclideanRing
  10. GCDRing
  11. CommutativeRing
  12. CommutativeRng
  13. CommutativeRig
  14. MultiplicativeCommutativeMonoid
  15. CommutativeSemiring
  16. MultiplicativeCommutativeSemigroup
  17. Ring
  18. Rng
  19. AdditiveCommutativeGroup
  20. AdditiveGroup
  21. Rig
  22. MultiplicativeMonoid
  23. Semiring
  24. MultiplicativeSemigroup
  25. AdditiveCommutativeMonoid
  26. AdditiveCommutativeSemigroup
  27. AdditiveMonoid
  28. AdditiveSemigroup
  29. Serializable
  30. Serializable
  31. Any
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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 emod(a: A, b: A): A
    Definition Classes
    EuclideanRing
  5. abstract def equot(a: A, b: A): A
    Definition Classes
    EuclideanRing
  6. abstract def euclideanFunction(a: A): BigInt
    Definition Classes
    EuclideanRing
  7. 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
  8. abstract def fromAlgebraic(n: Algebraic): A
    Definition Classes
    ConvertableTo
  9. abstract def fromBigDecimal(n: BigDecimal): A
    Definition Classes
    ConvertableTo
  10. abstract def fromByte(n: Byte): A
    Definition Classes
    ConvertableTo
  11. abstract def fromDouble(n: Double): A
    Definition Classes
    ConvertableTo
  12. abstract def fromFloat(n: Float): A
    Definition Classes
    ConvertableTo
  13. abstract def fromLong(n: Long): A
    Definition Classes
    ConvertableTo
  14. abstract def fromRational(n: Rational): A
    Definition Classes
    ConvertableTo
  15. abstract def fromReal(n: Real): A
    Definition Classes
    ConvertableTo
  16. abstract def fromShort(n: Short): A
    Definition Classes
    ConvertableTo
  17. abstract def fromType[B](b: B)(implicit arg0: ConvertableFrom[B]): A
    Definition Classes
    ConvertableTo
  18. abstract def gcd(a: A, b: A)(implicit ev: Eq[A]): A
    Definition Classes
    GCDRing
  19. abstract def getClass(): Class[_]
    Definition Classes
    Any
  20. 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
  21. abstract def lcm(a: A, b: A)(implicit ev: Eq[A]): A
    Definition Classes
    GCDRing
  22. abstract def negate(x: A): A
    Definition Classes
    AdditiveGroup
  23. abstract def one: A
    Definition Classes
    MultiplicativeMonoid
  24. abstract def plus(x: A, y: A): A
    Definition Classes
    AdditiveSemigroup
  25. abstract def round(a: A): A

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

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

    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
  27. abstract def times(x: A, y: A): A
    Definition Classes
    MultiplicativeSemigroup
  28. abstract def toAlgebraic(a: A): Algebraic
    Definition Classes
    ConvertableFrom
  29. abstract def toBigDecimal(a: A): BigDecimal
    Definition Classes
    ConvertableFrom
  30. abstract def toBigInt(a: A): BigInt
    Definition Classes
    ConvertableFrom
  31. abstract def toByte(a: A): Byte
    Definition Classes
    ConvertableFrom
  32. abstract def toDouble(a: A): Double

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    IsReal
  33. abstract def toFloat(a: A): Float
    Definition Classes
    ConvertableFrom
  34. abstract def toInt(a: A): Int
    Definition Classes
    ConvertableFrom
  35. abstract def toLong(a: A): Long
    Definition Classes
    ConvertableFrom
  36. abstract def toNumber(a: A): Number
    Definition Classes
    ConvertableFrom
  37. abstract def toRational(a: A): Rational
    Definition Classes
    ConvertableFrom
  38. abstract def toReal(a: A): Real
    Definition Classes
    IsReal
  39. abstract def toShort(a: A): Short
    Definition Classes
    ConvertableFrom
  40. abstract def toString(a: A): String
    Definition Classes
    ConvertableFrom
  41. abstract def toType[B](a: A)(implicit arg0: ConvertableTo[B]): B
    Definition Classes
    ConvertableFrom
  42. abstract def zero: A
    Definition Classes
    AdditiveMonoid

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 additive: CommutativeGroup[A]
    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  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 equotmod(a: A, b: A): (A, A)
    Definition Classes
    EuclideanRing
  9. def eqv(x: A, y: A): Boolean
    Definition Classes
    Order → PartialOrder → Eq
  10. def fromBigInt(n: BigInt): A
    Definition Classes
    Ring
  11. def fromInt(n: Int): A
    Definition Classes
    Ring
  12. def gt(x: A, y: A): Boolean
    Definition Classes
    Order → PartialOrder
  13. def gteqv(x: A, y: A): Boolean
    Definition Classes
    Order → PartialOrder
  14. def hashCode(): Int
    Definition Classes
    Any
  15. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  16. def isOne(a: A)(implicit ev: Eq[A]): Boolean
    Definition Classes
    MultiplicativeMonoid
  17. def isSignNegative(a: A): Boolean
    Definition Classes
    Signed
  18. def isSignNonNegative(a: A): Boolean
    Definition Classes
    Signed
  19. def isSignNonPositive(a: A): Boolean
    Definition Classes
    Signed
  20. def isSignNonZero(a: A): Boolean
    Definition Classes
    Signed
  21. def isSignPositive(a: A): Boolean
    Definition Classes
    Signed
  22. def isSignZero(a: A): Boolean
    Definition Classes
    Signed
  23. def isZero(a: A)(implicit ev: Eq[A]): Boolean
    Definition Classes
    AdditiveMonoid
  24. def lt(x: A, y: A): Boolean
    Definition Classes
    Order → PartialOrder
  25. def lteqv(x: A, y: A): Boolean
    Definition Classes
    Order → PartialOrder
  26. def max(x: A, y: A): A
    Definition Classes
    Order
  27. def min(x: A, y: A): A
    Definition Classes
    Order
  28. def minus(x: A, y: A): A
    Definition Classes
    AdditiveGroup
  29. def multiplicative: CommutativeMonoid[A]
    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup
  30. def neqv(x: A, y: A): Boolean
    Definition Classes
    Order → Eq
  31. def partialCompare(x: A, y: A): Double
    Definition Classes
    Order → PartialOrder
  32. def partialComparison(x: A, y: A): Option[Comparison]
    Definition Classes
    PartialOrder
  33. def pmax(x: A, y: A): Option[A]
    Definition Classes
    PartialOrder
  34. def pmin(x: A, y: A): Option[A]
    Definition Classes
    PartialOrder
  35. def positivePow(a: A, n: Int): A
    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup
  36. def positiveSumN(a: A, n: Int): A
    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  37. def pow(a: A, n: Int): A
    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  38. def product(as: TraversableOnce[A]): A
    Definition Classes
    MultiplicativeMonoid
  39. 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
  40. def sum(as: TraversableOnce[A]): A
    Definition Classes
    AdditiveMonoid
  41. def sumN(a: A, n: Int): A
    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  42. def toOrdering: Ordering[A]
    Definition Classes
    Order
  43. def toString(): String
    Definition Classes
    Any
  44. def tryCompare(x: A, y: A): Option[Int]
    Definition Classes
    PartialOrder
  45. def tryProduct(as: TraversableOnce[A]): Option[A]
    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  46. def trySum(as: TraversableOnce[A]): Option[A]
    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

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 EuclideanRing[A]

Inherited from GCDRing[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