Packages

c

spire.std

DoubleAlgebra

class DoubleAlgebra extends DoubleIsField with DoubleIsNRoot with DoubleIsTrig with DoubleIsReal with Serializable

Annotations
@SerialVersionUID()
Linear Supertypes
Serializable, Serializable, DoubleIsReal, DoubleIsSigned, DoubleOrder, IsRational[Double], IsAlgebraic[Double], IsReal[Double], Signed[Double], Order[Double], PartialOrder[Double], Eq[Double], DoubleIsTrig, Trig[Double], DoubleIsNRoot, NRoot[Double], DoubleIsField, Field[Double], MultiplicativeAbGroup[Double], MultiplicativeGroup[Double], EuclideanRing[Double], CRing[Double], MultiplicativeCMonoid[Double], MultiplicativeCSemigroup[Double], Ring[Double], Rng[Double], AdditiveAbGroup[Double], AdditiveCMonoid[Double], AdditiveCSemigroup[Double], AdditiveGroup[Double], Rig[Double], MultiplicativeMonoid[Double], Semiring[Double], MultiplicativeSemigroup[Double], AdditiveMonoid[Double], AdditiveSemigroup[Double], AnyRef, Any
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  2. By Inheritance
Inherited
  1. DoubleAlgebra
  2. Serializable
  3. Serializable
  4. DoubleIsReal
  5. DoubleIsSigned
  6. DoubleOrder
  7. IsRational
  8. IsAlgebraic
  9. IsReal
  10. Signed
  11. Order
  12. PartialOrder
  13. Eq
  14. DoubleIsTrig
  15. Trig
  16. DoubleIsNRoot
  17. NRoot
  18. DoubleIsField
  19. Field
  20. MultiplicativeAbGroup
  21. MultiplicativeGroup
  22. EuclideanRing
  23. CRing
  24. MultiplicativeCMonoid
  25. MultiplicativeCSemigroup
  26. Ring
  27. Rng
  28. AdditiveAbGroup
  29. AdditiveCMonoid
  30. AdditiveCSemigroup
  31. AdditiveGroup
  32. Rig
  33. MultiplicativeMonoid
  34. Semiring
  35. MultiplicativeSemigroup
  36. AdditiveMonoid
  37. AdditiveSemigroup
  38. AnyRef
  39. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new DoubleAlgebra()

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: Double): Double

    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
    DoubleIsSigned → Signed
  5. def acos(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  6. def additive: AbGroup[Double]
    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def asin(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  9. def atan(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  10. def atan2(y: Double, x: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  11. def ceil(a: Double): Double

    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
    DoubleIsReal → IsReal
  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  13. def compare(x: Double, y: Double): Int
    Definition Classes
    DoubleOrder → Order
  14. def cos(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  15. def cosh(x: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  16. def div(a: Double, b: Double): Double
    Definition Classes
    DoubleIsField → MultiplicativeGroup
  17. def e: Double
    Definition Classes
    DoubleIsTrig → 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: Double, y: Double): Boolean

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

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

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

    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
    DoubleIsReal → IsReal
  26. def fpow(a: Double, b: Double): Double
    Definition Classes
    DoubleIsNRoot → NRoot
  27. def fromDouble(n: Double): Double

    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
    DoubleIsField → Field
  28. def fromInt(n: Int): Double

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

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

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

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  44. def lcm(a: Double, b: Double): Double
    Definition Classes
    EuclideanRing
  45. def log(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  46. def log1p(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  47. def lt(x: Double, y: Double): Boolean
    Definition Classes
    DoubleOrder → Order → PartialOrder
  48. def lteqv(x: Double, y: Double): Boolean
    Definition Classes
    DoubleOrder → Order → PartialOrder
  49. def max(x: Double, y: Double): Double
    Definition Classes
    DoubleOrder → Order
  50. def min(x: Double, y: Double): Double
    Definition Classes
    DoubleOrder → Order
  51. def minus(a: Double, b: Double): Double
    Definition Classes
    DoubleIsField → AdditiveGroup
  52. def mod(a: Double, b: Double): Double
    Definition Classes
    DoubleIsField → EuclideanRing
  53. def multiplicative: AbGroup[Double]
    Definition Classes
    MultiplicativeAbGroup → MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
  54. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  55. def negate(a: Double): Double
    Definition Classes
    DoubleIsField → AdditiveGroup
  56. def neqv(x: Double, y: Double): Boolean

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

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

    Definition Classes
    DoubleOrder → Eq
  57. final def notify(): Unit
    Definition Classes
    AnyRef
  58. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  59. def nroot(a: Double, k: Int): Double
    Definition Classes
    DoubleIsNRoot → NRoot
  60. def on[B](f: (B) ⇒ Double): 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
    Order → PartialOrder → Eq
  61. def one: Double
    Definition Classes
    DoubleIsField → MultiplicativeMonoid
  62. def partialCompare(x: Double, y: Double): 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
    Order → PartialOrder
  63. def pi: Double
    Definition Classes
    DoubleIsTrig → Trig
  64. def plus(a: Double, b: Double): Double
    Definition Classes
    DoubleIsField → AdditiveSemigroup
  65. def pmax(x: Double, y: Double): Option[Double]

    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: Double, y: Double): Option[Double]

    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: Double, b: Int): Double

    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
    DoubleIsField → Rig → Semiring
  68. def prod(as: TraversableOnce[Double]): Double

    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[Double]): Option[Double]

    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: Double, n: Int): Double

    Return a multiplicated with itself n times.

    Return a multiplicated with itself n times.

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

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    Order → PartialOrder
  76. def round(a: Double): Double

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    DoubleIsReal → IsReal
  77. def sign(a: Double): 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: Double): 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
    DoubleIsSigned → Signed
  79. def sin(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  80. def sinh(x: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  81. def sqrt(a: Double): Double
    Definition Classes
    DoubleIsNRoot → NRoot
  82. def sum(as: TraversableOnce[Double]): Double

    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[Double]): Option[Double]

    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: Double, n: Int): Double

    Return a added with itself n times.

    Return a added with itself n times.

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

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    DoubleIsReal → IsReal
  93. def toRadians(a: Double): Double
    Definition Classes
    DoubleIsTrig → Trig
  94. def toRational(a: Double): Rational
    Definition Classes
    DoubleIsReal → IsRational
  95. def toReal(a: Double): Real
    Definition Classes
    IsAlgebraic → IsReal
  96. def toString(): String
    Definition Classes
    AnyRef → Any
  97. def tryCompare(x: Double, y: Double): 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: Double
    Definition Classes
    DoubleIsField → AdditiveMonoid

Inherited from Serializable

Inherited from Serializable

Inherited from DoubleIsReal

Inherited from DoubleIsSigned

Inherited from DoubleOrder

Inherited from IsRational[Double]

Inherited from IsAlgebraic[Double]

Inherited from IsReal[Double]

Inherited from Signed[Double]

Inherited from Order[Double]

Inherited from PartialOrder[Double]

Inherited from Eq[Double]

Inherited from DoubleIsTrig

Inherited from Trig[Double]

Inherited from DoubleIsNRoot

Inherited from NRoot[Double]

Inherited from DoubleIsField

Inherited from Field[Double]

Inherited from MultiplicativeAbGroup[Double]

Inherited from MultiplicativeGroup[Double]

Inherited from EuclideanRing[Double]

Inherited from CRing[Double]

Inherited from MultiplicativeCMonoid[Double]

Inherited from MultiplicativeCSemigroup[Double]

Inherited from Ring[Double]

Inherited from Rng[Double]

Inherited from AdditiveAbGroup[Double]

Inherited from AdditiveCMonoid[Double]

Inherited from AdditiveCSemigroup[Double]

Inherited from AdditiveGroup[Double]

Inherited from Rig[Double]

Inherited from MultiplicativeMonoid[Double]

Inherited from Semiring[Double]

Inherited from MultiplicativeSemigroup[Double]

Inherited from AdditiveMonoid[Double]

Inherited from AdditiveSemigroup[Double]

Inherited from AnyRef

Inherited from Any

Ungrouped