Class/Object

spire.math

Complex

Related Docs: object Complex | package math

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final case class Complex[T](real: T, imag: T) extends ScalaNumber with ScalaNumericConversions with Serializable with Product

Complex numbers. Depending on the underlying scalar T, can represent the Gaussian integers (T = BigInt/SafeLong), the Gaussian rationals (T = Rational) or the complex number field (T: Field).

Note that we require T to be at least CRing, a commutative ring, so the implementation below is slightly less general than the Cayley-Dickson construction.

Self Type
Complex[T]
Annotations
@SerialVersionUID()
Linear Supertypes
Product, Equals, Serializable, ScalaNumericConversions, ScalaNumericAnyConversions, ScalaNumber, java.lang.Number, Serializable, AnyRef, Any
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Inherited
  1. Complex
  2. Product
  3. Equals
  4. Serializable
  5. ScalaNumericConversions
  6. ScalaNumericAnyConversions
  7. ScalaNumber
  8. Number
  9. Serializable
  10. AnyRef
  11. Any
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Visibility
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  2. All

Instance Constructors

  1. new Complex(real: T, imag: T)

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Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. def *(b: Complex[T])(implicit r: CRing[T]): Complex[T]

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  4. def *(rhs: T)(implicit r: CRing[T]): Complex[T]

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  5. def **(b: Complex[T])(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  6. def **(b: Int)(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  7. def **(e: T)(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  8. def +(b: Complex[T])(implicit r: CRing[T]): Complex[T]

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  9. def +(rhs: T)(implicit r: CRing[T]): Complex[T]

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  10. def -(b: Complex[T])(implicit r: CRing[T]): Complex[T]

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  11. def -(rhs: T)(implicit r: CRing[T]): Complex[T]

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  12. def /(b: Complex[T])(implicit f: Field[T], s: Signed[T]): Complex[T]

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  13. def /(rhs: T)(implicit r: Field[T]): Complex[T]

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  14. def =!=(that: Complex[_]): Boolean

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  15. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  16. def ===(that: Complex[_]): Boolean

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  17. def abs(implicit f: Field[T], n: NRoot[T], s: Signed[T]): T

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  18. def absSquare(implicit r: CRing[T]): T

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  19. def acos(implicit f: Field[T], n: NRoot[T], t: Trig[T], s0: Signed[T]): Complex[T]

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  20. def arg(implicit f: Field[T], s: Signed[T], t: Trig[T]): T

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  21. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  22. def asPolarTuple(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): (T, T)

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  23. def asTuple: (T, T)

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  24. def asin(implicit f: Field[T], n: NRoot[T], t: Trig[T], s0: Signed[T]): Complex[T]

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  25. def atan(implicit f: Field[T], r: NRoot[T], t: Trig[T], s0: Signed[T]): Complex[T]

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  26. def byteValue(): Byte

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  27. def ceil(implicit o: IsReal[T]): Complex[T]

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  28. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. def complexSignum(implicit f: Field[T], n: NRoot[T], s: Signed[T]): Complex[T]

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    This implements sgn(z), which (except for z=0) observes:

    This implements sgn(z), which (except for z=0) observes:

    sgn(z) = z / abs(z) = abs(z) / z

  30. def conjugate(implicit f: CRing[T]): Complex[T]

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  31. def cos(implicit f: Field[T], t: Trig[T]): Complex[T]

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  32. def cosh(implicit f: Field[T], t: Trig[T]): Complex[T]

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  33. def doubleValue(): Double

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  34. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  35. def equals(that: Any): Boolean

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    Definition Classes
    Complex → Equals → AnyRef → Any
  36. def eqv(b: Complex[T])(implicit o: Eq[T]): Boolean

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  37. def exp(implicit f: Field[T], t: Trig[T]): Complex[T]

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  38. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  39. def floatValue(): Float

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  40. def floor(implicit o: IsReal[T]): Complex[T]

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  41. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  42. def hashCode(): Int

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    Definition Classes
    Complex → AnyRef → Any
  43. val imag: T

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  44. def intValue(): Int

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  45. def isImaginary(implicit s: Signed[T]): Boolean

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  46. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  47. def isReal(implicit s: Signed[T]): Boolean

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  48. def isValidByte: Boolean

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    Definition Classes
    ScalaNumericAnyConversions
  49. def isValidChar: Boolean

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    Definition Classes
    ScalaNumericAnyConversions
  50. final def isValidInt: Boolean

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    Definition Classes
    Complex → ScalaNumericAnyConversions
  51. def isValidShort: Boolean

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    Definition Classes
    ScalaNumericAnyConversions
  52. def isWhole(): Boolean

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    Definition Classes
    Complex → ScalaNumericAnyConversions → ScalaNumber
  53. def isZero(implicit s: Signed[T]): Boolean

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  54. def log(implicit f: Field[T], n: NRoot[T], t: Trig[T], s: Signed[T]): Complex[T]

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  55. def longValue(): Long

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  56. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  57. def neqv(b: Complex[T])(implicit o: Eq[T]): Boolean

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  58. def norm(implicit f: Field[T], n: NRoot[T], s: Signed[T]): T

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  59. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  61. def nroot(k: Int)(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  62. def pow(b: Complex[T])(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  63. def pow(b: Int)(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  64. def pow(e: T)(implicit f: Field[T], n: NRoot[T], s: Signed[T], t: Trig[T]): Complex[T]

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  65. val real: T

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  66. def round(implicit o: IsReal[T]): Complex[T]

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  67. def shortValue(): Short

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    Definition Classes
    Complex → ScalaNumericAnyConversions → Number
  68. def sin(implicit f: Field[T], t: Trig[T]): Complex[T]

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  69. def sinh(implicit f: Field[T], t: Trig[T]): Complex[T]

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  70. def sqrt(implicit f: Field[T], n0: NRoot[T], s: Signed[T]): Complex[T]

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  71. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  72. def tan(implicit f: Field[T], t: Trig[T]): Complex[T]

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  73. def tanh(implicit f: Field[T], t: Trig[T]): Complex[T]

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  74. def toByte: Byte

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    Definition Classes
    ScalaNumericAnyConversions
  75. def toChar: Char

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    Definition Classes
    ScalaNumericAnyConversions
  76. def toDouble: Double

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    Definition Classes
    ScalaNumericAnyConversions
  77. def toFloat: Float

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    Definition Classes
    ScalaNumericAnyConversions
  78. def toInt: Int

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    Definition Classes
    ScalaNumericAnyConversions
  79. def toLong: Long

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    Definition Classes
    ScalaNumericAnyConversions
  80. def toQuaternion(implicit ev: AdditiveMonoid[T]): Quaternion[T]

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  81. def toShort: Short

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    Definition Classes
    ScalaNumericAnyConversions
  82. def toString(): String

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    Definition Classes
    Complex → AnyRef → Any
  83. def unary_-(implicit r: CRing[T]): Complex[T]

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  84. def underlying(): AnyRef

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    Definition Classes
    Complex → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber
  85. def unifiedPrimitiveEquals(x: Any): Boolean

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    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions
  86. def unifiedPrimitiveHashcode(): Int

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    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions
  87. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Product

Inherited from Equals

Inherited from Serializable

Inherited from ScalaNumericConversions

Inherited from ScalaNumericAnyConversions

Inherited from ScalaNumber

Inherited from java.lang.Number

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped