spire.math

Integral

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

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Inherited
  1. Integral
  2. IsReal
  3. Signed
  4. Order
  5. Eq
  6. ConvertableTo
  7. ConvertableFrom
  8. EuclideanRing
  9. CRing
  10. MultiplicativeCMonoid
  11. MultiplicativeCSemigroup
  12. Ring
  13. Rng
  14. AdditiveAbGroup
  15. AdditiveCMonoid
  16. AdditiveCSemigroup
  17. AdditiveGroup
  18. Rig
  19. MultiplicativeMonoid
  20. Semiring
  21. MultiplicativeSemigroup
  22. AdditiveMonoid
  23. AdditiveSemigroup
  24. AnyRef
  25. Any
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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

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

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

    Definition Classes
    IsReal
  5. abstract def fromBigDecimal(n: BigDecimal): A

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

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

    Definition Classes
    ConvertableTo
  8. abstract def fromDouble(n: Double): A

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

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

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

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

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

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

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

    Definition Classes
    IsReal
  16. abstract def mod(a: A, b: A): A

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

    Definition Classes
    AdditiveGroup
  18. abstract def one: A

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

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

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

    Definition Classes
    IsReal
  22. 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
  23. abstract def times(x: A, y: A): A

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

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

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

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

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

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

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

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

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

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

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

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

    Definition Classes
    ConvertableFrom
  36. abstract def zero: A

    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

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

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

    Definition Classes
    AnyRef → Any
  4. def additive: AbGroup[A]

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  6. def clone(): AnyRef

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

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

    Definition Classes
    AnyRef → Any
  9. 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
    OrderEq
  10. final def euclid(a: A, b: A)(implicit eq: Eq[A]): A

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  12. def fromInt(n: Int): A

    Defined to be equivalent to additive.sumn(one, n).

    Defined to be equivalent to additive.sumn(one, n). That is, n repeated summations of this ring's one, or -one if n is negative.

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

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

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

    Definition Classes
    Order
  16. def hashCode(): Int

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

    Definition Classes
    Any
  18. def isZero(a: A): Boolean

    Definition Classes
    Signed
  19. def lcm(a: A, b: A): A

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

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

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

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

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

    Definition Classes
    AdditiveGroup
  25. def multiplicative: CMonoid[A]

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

    Definition Classes
    AnyRef
  27. 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
  28. final def notify(): Unit

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

    Definition Classes
    AnyRef
  30. 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
    OrderEq
  31. def pow(a: A, n: Int): A

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

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

    Definition Classes
    EuclideanRing
  33. 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
  34. 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
  35. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  36. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from IsReal[A]

Inherited from Signed[A]

Inherited from Order[A]

Inherited from Eq[A]

Inherited from ConvertableTo[A]

Inherited from ConvertableFrom[A]

Inherited from EuclideanRing[A]

Inherited from CRing[A]

Inherited from MultiplicativeCMonoid[A]

Inherited from MultiplicativeCSemigroup[A]

Inherited from Ring[A]

Inherited from Rng[A]

Inherited from AdditiveAbGroup[A]

Inherited from AdditiveCMonoid[A]

Inherited from AdditiveCSemigroup[A]

Inherited from AdditiveGroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from AnyRef

Inherited from Any

Ungrouped