Packages

c

spire.math

ComplexIsNumeric

class ComplexIsNumeric[A] extends ComplexEq[A] with ComplexIsField[A] with Numeric[Complex[A]] with ComplexIsTrig[A] with ComplexIsNRoot[A] with ConvertableFromComplex[A] with ConvertableToComplex[A] with Order[Complex[A]] with ComplexIsSigned[A] with Serializable

Annotations
@SerialVersionUID()
Linear Supertypes
ComplexIsSigned[A], ConvertableToComplex[A], ConvertableFromComplex[A], ComplexIsNRoot[A], ComplexIsTrig[A], Trig[Complex[A]], Numeric[Complex[A]], IsReal[Complex[A]], Signed[Complex[A]], Order[Complex[A]], PartialOrder[Complex[A]], ConvertableTo[Complex[A]], ConvertableFrom[Complex[A]], NRoot[Complex[A]], ComplexIsField[A], Field[Complex[A]], MultiplicativeAbGroup[Complex[A]], MultiplicativeGroup[Complex[A]], EuclideanRing[Complex[A]], CRing[Complex[A]], MultiplicativeCMonoid[Complex[A]], MultiplicativeCSemigroup[Complex[A]], ComplexIsRing[A], Ring[Complex[A]], Rng[Complex[A]], AdditiveAbGroup[Complex[A]], AdditiveCMonoid[Complex[A]], AdditiveCSemigroup[Complex[A]], AdditiveGroup[Complex[A]], Rig[Complex[A]], MultiplicativeMonoid[Complex[A]], Semiring[Complex[A]], MultiplicativeSemigroup[Complex[A]], AdditiveMonoid[Complex[A]], AdditiveSemigroup[Complex[A]], ComplexEq[A], Serializable, Serializable, Eq[Complex[A]], AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. ComplexIsNumeric
  2. ComplexIsSigned
  3. ConvertableToComplex
  4. ConvertableFromComplex
  5. ComplexIsNRoot
  6. ComplexIsTrig
  7. Trig
  8. Numeric
  9. IsReal
  10. Signed
  11. Order
  12. PartialOrder
  13. ConvertableTo
  14. ConvertableFrom
  15. NRoot
  16. ComplexIsField
  17. Field
  18. MultiplicativeAbGroup
  19. MultiplicativeGroup
  20. EuclideanRing
  21. CRing
  22. MultiplicativeCMonoid
  23. MultiplicativeCSemigroup
  24. ComplexIsRing
  25. Ring
  26. Rng
  27. AdditiveAbGroup
  28. AdditiveCMonoid
  29. AdditiveCSemigroup
  30. AdditiveGroup
  31. Rig
  32. MultiplicativeMonoid
  33. Semiring
  34. MultiplicativeSemigroup
  35. AdditiveMonoid
  36. AdditiveSemigroup
  37. ComplexEq
  38. Serializable
  39. Serializable
  40. Eq
  41. AnyRef
  42. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new ComplexIsNumeric()(implicit algebra: Fractional[A], trig: Trig[A], order: IsReal[A])

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: Complex[A]): Complex[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
    ComplexIsSigned → Signed
  5. def acos(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  6. def additive: AbGroup[Complex[A]]
    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  7. implicit val algebra: Fractional[A]
    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ConvertableToComplex → ConvertableFromComplex → ComplexIsNRoot → ComplexIsTrig → ComplexIsField → ComplexIsRing
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. def asin(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  10. def atan(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  11. def atan2(y: Complex[A], x: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  12. def ceil(a: Complex[A]): Complex[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
    ComplexIsNumeric → IsReal
  13. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  14. def compare(x: Complex[A], y: Complex[A]): Int
    Definition Classes
    ComplexIsNumeric → Order
  15. def cos(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  16. def cosh(x: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  17. def div(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsField → MultiplicativeGroup
  18. def e: Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  19. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  21. def eqv(x: Complex[A], y: Complex[A]): Boolean

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

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

    Definition Classes
    ComplexIsNumeric → Order → PartialOrder → ComplexEq → Eq
  22. final def euclid(a: Complex[A], b: Complex[A])(implicit eq: Eq[Complex[A]]): Complex[A]
    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  23. def exp(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  24. def expm1(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  25. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  26. def floor(a: Complex[A]): Complex[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
    ComplexIsNumeric → IsReal
  27. def fpow(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsNRoot → NRoot
  28. def fromAlgebraic(a: Algebraic): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  29. def fromBigDecimal(a: BigDecimal): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  30. def fromBigInt(a: BigInt): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  31. def fromByte(a: Byte): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  32. def fromDouble(n: Double): Complex[A]

    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
    ComplexIsNumeric → ConvertableToComplex → ConvertableTo → ComplexIsField → Field
  33. def fromFloat(a: Float): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  34. def fromInt(n: Int): Complex[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
    ComplexIsNumeric → ConvertableToComplex → ConvertableTo → ComplexIsRing → Ring
  35. def fromLong(a: Long): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  36. def fromRational(a: Rational): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  37. def fromReal(a: Real): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  38. def fromShort(a: Short): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  39. def fromType[B](b: B)(implicit arg0: ConvertableFrom[B]): Complex[A]
    Definition Classes
    ConvertableToComplex → ConvertableTo
  40. def gcd(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsField → EuclideanRing
  41. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  42. def gt(x: Complex[A], y: Complex[A]): Boolean
    Definition Classes
    Order → PartialOrder
  43. def gteqv(x: Complex[A], y: Complex[A]): Boolean
    Definition Classes
    Order → PartialOrder
  44. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  45. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  46. def isOne(a: Complex[A])(implicit ev: Eq[Complex[A]]): Boolean
    Definition Classes
    MultiplicativeMonoid
  47. def isSignNegative(a: Complex[A]): Boolean
    Definition Classes
    Signed
  48. def isSignNonNegative(a: Complex[A]): Boolean
    Definition Classes
    Signed
  49. def isSignNonPositive(a: Complex[A]): Boolean
    Definition Classes
    Signed
  50. def isSignNonZero(a: Complex[A]): Boolean
    Definition Classes
    Signed
  51. def isSignPositive(a: Complex[A]): Boolean
    Definition Classes
    Signed
  52. def isSignZero(a: Complex[A]): Boolean
    Definition Classes
    Signed
  53. def isWhole(a: Complex[A]): Boolean

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

    Definition Classes
    ComplexIsNumeric → IsReal
  54. def isZero(a: Complex[A])(implicit ev: Eq[Complex[A]]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  55. def lcm(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    EuclideanRing
  56. def log(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  57. def log1p(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  58. def lt(x: Complex[A], y: Complex[A]): Boolean
    Definition Classes
    Order → PartialOrder
  59. def lteqv(x: Complex[A], y: Complex[A]): Boolean
    Definition Classes
    Order → PartialOrder
  60. def max(x: Complex[A], y: Complex[A]): Complex[A]
    Definition Classes
    Order
  61. def min(x: Complex[A], y: Complex[A]): Complex[A]
    Definition Classes
    Order
  62. def minus(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsRing → AdditiveGroup
  63. def mod(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsField → EuclideanRing
  64. def multiplicative: AbGroup[Complex[A]]
    Definition Classes
    MultiplicativeAbGroup → MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
  65. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  66. def negate(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsRing → AdditiveGroup
  67. def neqv(x: Complex[A], y: Complex[A]): Boolean

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

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

    Definition Classes
    ComplexEq → Eq
  68. final def notify(): Unit
    Definition Classes
    AnyRef
  69. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  70. def nroot(a: Complex[A], n: Int): Complex[A]
    Definition Classes
    ComplexIsNumeric → ComplexIsNRoot → NRoot
  71. def nroot: NRoot[A]
    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ComplexIsNRoot → ComplexIsTrig
  72. def on[B](f: (B) ⇒ Complex[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
    Order → PartialOrder → Eq
  73. def one: Complex[A]
    Definition Classes
    ComplexIsRing → MultiplicativeMonoid
  74. implicit val order: IsReal[A]
    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ComplexIsNRoot → ComplexIsTrig → ComplexIsRing
  75. def partialCompare(x: Complex[A], y: Complex[A]): 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
  76. def pi: Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  77. def plus(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsRing → AdditiveSemigroup
  78. def pmax(x: Complex[A], y: Complex[A]): Option[Complex[A]]

    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
  79. def pmin(x: Complex[A], y: Complex[A]): Option[Complex[A]]

    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
  80. def pow(a: Complex[A], n: Int): Complex[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
    Rig → Semiring
  81. def prod(as: TraversableOnce[Complex[A]]): Complex[A]

    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
  82. def prodOption(as: TraversableOnce[Complex[A]]): Option[Complex[A]]

    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
  83. def prodn(a: Complex[A], n: Int): Complex[A]

    Return a multiplicated with itself n times.

    Return a multiplicated with itself n times.

    Definition Classes
    MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
  84. def prodnAboveOne(a: Complex[A], n: Int): Complex[A]
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  85. def quot(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsField → EuclideanRing
  86. def quotmod(a: Complex[A], b: Complex[A]): (Complex[A], Complex[A])
    Definition Classes
    ComplexIsField → EuclideanRing
  87. def reciprocal(x: Complex[A]): Complex[A]
    Definition Classes
    MultiplicativeGroup
  88. def reverse: Order[Complex[A]]

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    Order → PartialOrder
  89. def round(a: Complex[A]): Complex[A]

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    ComplexIsNumeric → IsReal
  90. def sign(a: Complex[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
  91. def signum(a: Complex[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
    ComplexIsSigned → Signed
  92. def sin(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  93. def sinh(x: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  94. def sqrt(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsNRoot → NRoot
  95. def sum(as: TraversableOnce[Complex[A]]): Complex[A]

    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
  96. def sumOption(as: TraversableOnce[Complex[A]]): Option[Complex[A]]

    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
  97. def sumn(a: Complex[A], n: Int): Complex[A]

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  98. def sumnAboveOne(a: Complex[A], n: Int): Complex[A]
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  99. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  100. def tan(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  101. def tanh(x: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  102. def times(a: Complex[A], b: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsRing → MultiplicativeSemigroup
  103. def toAlgebraic(a: Complex[A]): Algebraic
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  104. def toBigDecimal(a: Complex[A]): BigDecimal
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  105. def toBigInt(a: Complex[A]): BigInt
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  106. def toByte(a: Complex[A]): Byte
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  107. def toDegrees(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  108. def toDouble(a: Complex[A]): Double
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  109. def toFloat(a: Complex[A]): Float
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  110. def toInt(a: Complex[A]): Int
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  111. def toLong(a: Complex[A]): Long
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  112. def toNumber(a: Complex[A]): Number
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  113. def toRadians(a: Complex[A]): Complex[A]
    Definition Classes
    ComplexIsTrig → Trig
  114. def toRational(a: Complex[A]): Rational
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  115. def toReal(a: Complex[A]): Real
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  116. def toShort(a: Complex[A]): Short
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  117. def toString(a: Complex[A]): String
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  118. def toString(): String
    Definition Classes
    AnyRef → Any
  119. def toType[B](a: Complex[A])(implicit arg0: ConvertableTo[B]): B
    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  120. implicit val trig: Trig[A]
    Definition Classes
    ComplexIsNumeric → ComplexIsNRoot → ComplexIsTrig
  121. def tryCompare(x: Complex[A], y: Complex[A]): 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
  122. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  123. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  124. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  125. def zero: Complex[A]
    Definition Classes
    ComplexIsRing → AdditiveMonoid

Inherited from ComplexIsSigned[A]

Inherited from ConvertableToComplex[A]

Inherited from ConvertableFromComplex[A]

Inherited from ComplexIsNRoot[A]

Inherited from ComplexIsTrig[A]

Inherited from Trig[Complex[A]]

Inherited from Numeric[Complex[A]]

Inherited from IsReal[Complex[A]]

Inherited from Signed[Complex[A]]

Inherited from Order[Complex[A]]

Inherited from PartialOrder[Complex[A]]

Inherited from ConvertableTo[Complex[A]]

Inherited from ConvertableFrom[Complex[A]]

Inherited from NRoot[Complex[A]]

Inherited from ComplexIsField[A]

Inherited from Field[Complex[A]]

Inherited from MultiplicativeAbGroup[Complex[A]]

Inherited from MultiplicativeGroup[Complex[A]]

Inherited from EuclideanRing[Complex[A]]

Inherited from CRing[Complex[A]]

Inherited from MultiplicativeCMonoid[Complex[A]]

Inherited from MultiplicativeCSemigroup[Complex[A]]

Inherited from ComplexIsRing[A]

Inherited from Ring[Complex[A]]

Inherited from Rng[Complex[A]]

Inherited from AdditiveAbGroup[Complex[A]]

Inherited from AdditiveCMonoid[Complex[A]]

Inherited from AdditiveCSemigroup[Complex[A]]

Inherited from AdditiveGroup[Complex[A]]

Inherited from Rig[Complex[A]]

Inherited from MultiplicativeMonoid[Complex[A]]

Inherited from Semiring[Complex[A]]

Inherited from MultiplicativeSemigroup[Complex[A]]

Inherited from AdditiveMonoid[Complex[A]]

Inherited from AdditiveSemigroup[Complex[A]]

Inherited from ComplexEq[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Eq[Complex[A]]

Inherited from AnyRef

Inherited from Any

Ungrouped