Packages

c

spire.math

NumberAlgebra

class NumberAlgebra extends NumberIsField with NumberIsNRoot with NumberIsTrig with NumberIsReal with Serializable

Annotations
@SerialVersionUID()
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. NumberAlgebra
  2. Serializable
  3. Serializable
  4. NumberIsReal
  5. NumberIsSigned
  6. NumberOrder
  7. IsRational
  8. IsAlgebraic
  9. IsReal
  10. Signed
  11. Order
  12. PartialOrder
  13. Eq
  14. NumberIsTrig
  15. Trig
  16. NumberIsNRoot
  17. NRoot
  18. NumberIsField
  19. NumberIsEuclideanRing
  20. NumberIsRing
  21. Field
  22. MultiplicativeAbGroup
  23. MultiplicativeGroup
  24. EuclideanRing
  25. CRing
  26. MultiplicativeCMonoid
  27. MultiplicativeCSemigroup
  28. Ring
  29. Rng
  30. AdditiveAbGroup
  31. AdditiveCMonoid
  32. AdditiveCSemigroup
  33. AdditiveGroup
  34. Rig
  35. MultiplicativeMonoid
  36. Semiring
  37. MultiplicativeSemigroup
  38. AdditiveMonoid
  39. AdditiveSemigroup
  40. AnyRef
  41. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new NumberAlgebra()

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 abs(a: Number): Number

    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
    NumberIsSigned → Signed
  5. def acos(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  6. def additive: AbGroup[Number]
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def asin(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  9. def atan(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  10. def atan2(y: Number, x: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  11. def ceil(a: Number): Number

    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
    NumberIsReal → IsReal
  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  13. def compare(x: Number, y: Number): Int
    Definition Classes
    NumberOrder → Order
  14. def cos(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  15. def cosh(x: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  16. def div(a: Number, b: Number): Number
    Definition Classes
    NumberIsField → MultiplicativeGroup
  17. def e: Number
    Definition Classes
    NumberIsTrig → Trig
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  20. def eqv(x: Number, y: Number): Boolean

    Returns true if x and y are equivalent, false otherwise.

    Returns true if x and y are equivalent, false otherwise.

    Definition Classes
    NumberOrder → OrderPartialOrderEq
  21. final def euclid(a: Number, b: Number)(implicit eq: Eq[Number]): Number
    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  22. def exp(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  23. def expm1(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  24. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  25. def floor(a: Number): Number

    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
    NumberIsReal → IsReal
  26. def fpow(a: Number, b: Number): Number
    Definition Classes
    NumberIsNRoot → NRoot
  27. def fromDouble(a: Double): Number

    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
    NumberIsField → Field
  28. def fromInt(n: Int): Number

    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
    NumberIsRing → Ring
  29. def gcd(a: Number, b: Number): Number
    Definition Classes
    NumberIsEuclideanRing → EuclideanRing
  30. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  31. def gt(x: Number, y: Number): Boolean
    Definition Classes
    NumberOrder → OrderPartialOrder
  32. def gteqv(x: Number, y: Number): Boolean
    Definition Classes
    NumberOrder → OrderPartialOrder
  33. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  34. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  35. def isOne(a: Number)(implicit ev: Eq[Number]): Boolean
    Definition Classes
    MultiplicativeMonoid
  36. def isSignNegative(a: Number): Boolean
    Definition Classes
    Signed
  37. def isSignNonNegative(a: Number): Boolean
    Definition Classes
    Signed
  38. def isSignNonPositive(a: Number): Boolean
    Definition Classes
    Signed
  39. def isSignNonZero(a: Number): Boolean
    Definition Classes
    Signed
  40. def isSignPositive(a: Number): Boolean
    Definition Classes
    Signed
  41. def isSignZero(a: Number): Boolean
    Definition Classes
    Signed
  42. def isWhole(a: Number): Boolean

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

    Definition Classes
    NumberIsReal → IsReal
  43. def isZero(a: Number)(implicit ev: Eq[Number]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  44. def lcm(a: Number, b: Number): Number
    Definition Classes
    EuclideanRing
  45. def log(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  46. def log1p(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  47. def lt(x: Number, y: Number): Boolean
    Definition Classes
    NumberOrder → OrderPartialOrder
  48. def lteqv(x: Number, y: Number): Boolean
    Definition Classes
    NumberOrder → OrderPartialOrder
  49. def max(x: Number, y: Number): Number
    Definition Classes
    Order
  50. def min(x: Number, y: Number): Number
    Definition Classes
    Order
  51. def minus(a: Number, b: Number): Number
    Definition Classes
    NumberIsRing → AdditiveGroup
  52. def mod(a: Number, b: Number): Number
    Definition Classes
    NumberIsEuclideanRing → EuclideanRing
  53. def multiplicative: AbGroup[Number]
  54. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  55. def negate(a: Number): Number
    Definition Classes
    NumberIsRing → AdditiveGroup
  56. def neqv(x: Number, y: Number): Boolean

    Returns false if x and y are equivalent, true otherwise.

    Returns false if x and y are equivalent, true otherwise.

    Definition Classes
    NumberOrder → Eq
  57. final def notify(): Unit
    Definition Classes
    AnyRef
  58. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  59. def nroot(a: Number, k: Int): Number
    Definition Classes
    NumberIsNRoot → NRoot
  60. def on[B](f: (B) ⇒ Number): 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
    OrderPartialOrderEq
  61. def one: Number
    Definition Classes
    NumberIsRing → MultiplicativeMonoid
  62. def partialCompare(x: Number, y: Number): Double

    Result of comparing x with y.

    Result of comparing x with y. Returns NaN if operands are not comparable. If operands are comparable, returns a Double whose sign is: - negative iff x < y - zero iff x === y - positive iff x > y

    Definition Classes
    OrderPartialOrder
  63. def pi: Number
    Definition Classes
    NumberIsTrig → Trig
  64. def plus(a: Number, b: Number): Number
    Definition Classes
    NumberIsRing → AdditiveSemigroup
  65. def pmax(x: Number, y: Number): Option[Number]

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Definition Classes
    PartialOrder
  66. def pmin(x: Number, y: Number): Option[Number]

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Definition Classes
    PartialOrder
  67. def pow(a: Number, b: Int): Number

    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
    NumberIsRing → RigSemiring
  68. def prod(as: TraversableOnce[Number]): Number

    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    MultiplicativeMonoid
  69. def prodOption(as: TraversableOnce[Number]): Option[Number]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeSemigroup
  70. def prodn(a: Number, n: Int): Number

    Return a multiplicated with itself n times.

    Return a multiplicated with itself n times.

    Definition Classes
    MultiplicativeGroupMultiplicativeMonoidMultiplicativeSemigroup
  71. def prodnAboveOne(a: Number, n: Int): Number
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  72. def quot(a: Number, b: Number): Number
    Definition Classes
    NumberIsEuclideanRing → EuclideanRing
  73. def quotmod(a: Number, b: Number): (Number, Number)
    Definition Classes
    NumberIsEuclideanRing → EuclideanRing
  74. def reciprocal(x: Number): Number
    Definition Classes
    MultiplicativeGroup
  75. def reverse: Order[Number]

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    OrderPartialOrder
  76. def round(a: Number): Number

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    NumberIsReal → IsReal
  77. def sign(a: Number): 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
  78. def signum(a: Number): 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
    NumberIsSigned → Signed
  79. def sin(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  80. def sinh(x: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  81. def sqrt(a: Number): Number
    Definition Classes
    NumberIsNRoot → NRoot
  82. def sum(as: TraversableOnce[Number]): Number

    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    AdditiveMonoid
  83. def sumOption(as: TraversableOnce[Number]): Option[Number]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveSemigroup
  84. def sumn(a: Number, n: Int): Number

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  85. def sumnAboveOne(a: Number, n: Int): Number
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  86. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  87. def tan(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  88. def tanh(x: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  89. def times(a: Number, b: Number): Number
    Definition Classes
    NumberIsRing → MultiplicativeSemigroup
  90. def toAlgebraic(a: Number): Algebraic
    Definition Classes
    IsRationalIsAlgebraic
  91. def toDegrees(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  92. def toDouble(x: Number): Double

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    NumberIsReal → IsReal
  93. def toRadians(a: Number): Number
    Definition Classes
    NumberIsTrig → Trig
  94. def toRational(a: Number): Rational
    Definition Classes
    NumberIsReal → IsRational
  95. def toReal(a: Number): Real
    Definition Classes
    IsAlgebraicIsReal
  96. def toString(): String
    Definition Classes
    AnyRef → Any
  97. def tryCompare(x: Number, y: Number): Option[Int]

    Result of comparing x with y.

    Result of comparing x with y. Returns None if operands are not comparable. If operands are comparable, returns Some[Int] where the Int sign is: - negative iff x < y - zero iff x == y - positive iff x > y

    Definition Classes
    PartialOrder
  98. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  99. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  100. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  101. def zero: Number
    Definition Classes
    NumberIsRing → AdditiveMonoid

Inherited from Serializable

Inherited from Serializable

Inherited from NumberIsReal

Inherited from NumberIsSigned

Inherited from NumberOrder

Inherited from IsRational[Number]

Inherited from IsAlgebraic[Number]

Inherited from IsReal[Number]

Inherited from Signed[Number]

Inherited from Order[Number]

Inherited from PartialOrder[Number]

Inherited from Eq[Number]

Inherited from NumberIsTrig

Inherited from Trig[Number]

Inherited from NumberIsNRoot

Inherited from NRoot[Number]

Inherited from NumberIsField

Inherited from NumberIsEuclideanRing

Inherited from NumberIsRing

Inherited from Field[Number]

Inherited from MultiplicativeAbGroup[Number]

Inherited from MultiplicativeGroup[Number]

Inherited from EuclideanRing[Number]

Inherited from CRing[Number]

Inherited from MultiplicativeCMonoid[Number]

Inherited from Ring[Number]

Inherited from Rng[Number]

Inherited from AdditiveAbGroup[Number]

Inherited from AdditiveCMonoid[Number]

Inherited from AdditiveCSemigroup[Number]

Inherited from AdditiveGroup[Number]

Inherited from Rig[Number]

Inherited from MultiplicativeMonoid[Number]

Inherited from Semiring[Number]

Inherited from AdditiveMonoid[Number]

Inherited from AdditiveSemigroup[Number]

Inherited from AnyRef

Inherited from Any

Ungrouped