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( 0L )
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]], 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
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  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. ConvertableTo
  13. ConvertableFrom
  14. NRoot
  15. ComplexIsField
  16. Field
  17. MultiplicativeAbGroup
  18. MultiplicativeGroup
  19. EuclideanRing
  20. CRing
  21. MultiplicativeCMonoid
  22. MultiplicativeCSemigroup
  23. ComplexIsRing
  24. Ring
  25. Rng
  26. AdditiveAbGroup
  27. AdditiveCMonoid
  28. AdditiveCSemigroup
  29. AdditiveGroup
  30. Rig
  31. MultiplicativeMonoid
  32. Semiring
  33. MultiplicativeSemigroup
  34. AdditiveMonoid
  35. AdditiveSemigroup
  36. ComplexEq
  37. Serializable
  38. Serializable
  39. Eq
  40. AnyRef
  41. 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: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

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

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

    Definition Classes
    Any
  6. 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
  7. def acos(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  8. def additive: AbGroup[Complex[A]]

  9. implicit val algebra: Fractional[A]

    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ConvertableToComplex → ConvertableFromComplex → ComplexIsNRoot → ComplexIsTrig → ComplexIsField → ComplexIsRing
  10. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  11. def asin(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  12. def atan(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  13. def atan2(y: Complex[A], x: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  14. def ceil(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsNumericIsReal
  15. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  16. def compare(x: Complex[A], y: Complex[A]): Int

    Definition Classes
    ComplexIsNumericOrder
  17. def cos(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  18. def cosh(x: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  19. def div(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsField → MultiplicativeGroup
  20. def e: Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  21. final def eq(arg0: AnyRef): Boolean

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

    Definition Classes
    AnyRef → Any
  23. 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
    ComplexIsNumericOrder → ComplexEq → Eq
  24. final def euclid(a: Complex[A], b: Complex[A])(implicit eq: Eq[Complex[A]]): Complex[A]

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  25. def exp(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  26. def expm1(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  27. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  28. def floor(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsNumericIsReal
  29. def fpow(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsNRoot → NRoot
  30. def fromBigDecimal(a: BigDecimal): Complex[A]

    Definition Classes
    ConvertableToComplex → ConvertableTo
  31. def fromBigInt(a: BigInt): Complex[A]

    Definition Classes
    ConvertableToComplex → ConvertableTo
  32. def fromByte(a: Byte): Complex[A]

    Definition Classes
    ConvertableToComplex → ConvertableTo
  33. 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
  34. def fromFloat(a: Float): Complex[A]

    Definition Classes
    ConvertableToComplex → ConvertableTo
  35. 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
  36. def fromLong(a: Long): Complex[A]

    Definition Classes
    ConvertableToComplex → ConvertableTo
  37. def fromRational(a: Rational): 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
  43. def gteqv(x: Complex[A], y: Complex[A]): Boolean

    Definition Classes
    Order
  44. def hashCode(): Int

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

    Definition Classes
    Any
  46. def isWhole(a: Complex[A]): Boolean

    Definition Classes
    ComplexIsNumericIsReal
  47. def isZero(a: Complex[A]): Boolean

    Definition Classes
    Signed
  48. def lcm(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    EuclideanRing
  49. def log(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  50. def log1p(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  51. def lt(x: Complex[A], y: Complex[A]): Boolean

    Definition Classes
    Order
  52. def lteqv(x: Complex[A], y: Complex[A]): Boolean

    Definition Classes
    Order
  53. def max(x: Complex[A], y: Complex[A]): Complex[A]

    Definition Classes
    Order
  54. def min(x: Complex[A], y: Complex[A]): Complex[A]

    Definition Classes
    Order
  55. def minus(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsRing → AdditiveGroup
  56. def mod(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsField → EuclideanRing
  57. def multiplicative: AbGroup[Complex[A]]

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

    Definition Classes
    AnyRef
  59. def negate(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsRing → AdditiveGroup
  60. 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
  61. final def notify(): Unit

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

    Definition Classes
    AnyRef
  63. def nroot(a: Complex[A], n: Int): Complex[A]

    Definition Classes
    ComplexIsNumeric → ComplexIsNRoot → NRoot
  64. def nroot: NRoot[A]

    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ComplexIsNRoot → ComplexIsTrig
  65. 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
    OrderEq
  66. def one: Complex[A]

    Definition Classes
    ComplexIsRing → MultiplicativeMonoid
  67. implicit val order: IsReal[A]

    Definition Classes
    ComplexIsNumeric → ComplexIsSigned → ComplexIsNRoot → ComplexIsTrig → ComplexIsRing
  68. def pi: Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  69. def plus(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsRing → AdditiveSemigroup
  70. 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
    RigSemiring
  71. def quot(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsField → EuclideanRing
  72. def quotmod(a: Complex[A], b: Complex[A]): (Complex[A], Complex[A])

    Definition Classes
    ComplexIsField → EuclideanRing
  73. def reciprocal(x: Complex[A]): Complex[A]

    Definition Classes
    MultiplicativeGroup
  74. 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
  75. def round(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsNumericIsReal
  76. 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
  77. 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
  78. def sin(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  79. def sinh(x: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  80. def sqrt(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsNRoot → NRoot
  81. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  82. def tan(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  83. def tanh(x: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  84. def times(a: Complex[A], b: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsRing → MultiplicativeSemigroup
  85. def toBigDecimal(a: Complex[A]): BigDecimal

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  86. def toBigInt(a: Complex[A]): BigInt

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  87. def toByte(a: Complex[A]): Byte

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  88. def toDegrees(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  89. def toDouble(a: Complex[A]): Double

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  90. def toFloat(a: Complex[A]): Float

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  91. def toInt(a: Complex[A]): Int

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  92. def toLong(a: Complex[A]): Long

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  93. def toNumber(a: Complex[A]): Number

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  94. def toRadians(a: Complex[A]): Complex[A]

    Definition Classes
    ComplexIsTrig → Trig
  95. def toRational(a: Complex[A]): Rational

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  96. def toShort(a: Complex[A]): Short

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  97. def toString(a: Complex[A]): String

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  98. def toString(): String

    Definition Classes
    AnyRef → Any
  99. def toType[B](a: Complex[A])(implicit arg0: ConvertableTo[B]): B

    Definition Classes
    ConvertableFromComplex → ConvertableFrom
  100. implicit val trig: Trig[A]

    Definition Classes
    ComplexIsNumeric → ComplexIsNRoot → ComplexIsTrig
  101. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  104. 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 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