spire.math

Numeric

trait Numeric[A] extends Ring[A] with AdditiveAbGroup[A] with MultiplicativeAbGroup[A] with NRoot[A] with ConvertableFrom[A] with ConvertableTo[A] with IsReal[A]

TODO 3. LiteralOps? Literal conversions? 4. Review operator symbols? 5. Support for more operators? 6. Start to worry about things like e.g. pow(BigInt, BigInt)

Linear Supertypes
IsReal[A], Signed[A], Order[A], PartialOrder[A], Eq[A], ConvertableTo[A], ConvertableFrom[A], NRoot[A], MultiplicativeCommutativeGroup[A], MultiplicativeCommutativeMonoid[A], MultiplicativeCommutativeSemigroup[A], MultiplicativeGroup[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
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Inherited
  1. Numeric
  2. IsReal
  3. Signed
  4. Order
  5. PartialOrder
  6. Eq
  7. ConvertableTo
  8. ConvertableFrom
  9. NRoot
  10. MultiplicativeCommutativeGroup
  11. MultiplicativeCommutativeMonoid
  12. MultiplicativeCommutativeSemigroup
  13. MultiplicativeGroup
  14. Ring
  15. Rng
  16. AdditiveCommutativeGroup
  17. AdditiveGroup
  18. Rig
  19. MultiplicativeMonoid
  20. Semiring
  21. MultiplicativeSemigroup
  22. AdditiveCommutativeMonoid
  23. AdditiveCommutativeSemigroup
  24. AdditiveMonoid
  25. AdditiveSemigroup
  26. Serializable
  27. Serializable
  28. 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 div(x: A, y: A): A

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    Definition Classes
    NRoot
  21. abstract def one: A

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

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

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    IsReal
  24. 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
  25. abstract def times(x: A, y: A): A

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

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

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

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

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

    Approximates a as a Double.

    Approximates a as a Double.

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

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

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

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

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

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

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

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

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

    Definition Classes
    ConvertableFrom
  40. 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. def and(that: Eq[A]): Eq[A]

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

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

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

    Definition Classes
    Any
  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: CommutativeGroup[A]

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

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

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

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

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

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

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

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

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

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

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

    Definition Classes
    MultiplicativeMonoid
  41. def reciprocal(x: A): A

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

    Definition Classes
    Order → PartialOrder
  43. 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
  44. def sqrt(a: A): A

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

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

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

    Definition Classes
    Order
  48. def toString(): String

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

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

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

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

    Definition Classes
    Order

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 MultiplicativeCommutativeGroup[A]

Inherited from MultiplicativeCommutativeMonoid[A]

Inherited from MultiplicativeCommutativeSemigroup[A]

Inherited from MultiplicativeGroup[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