spire.math

Quaternion

final case class Quaternion[A](r: A, i: A, j: A, k: A) extends ScalaNumber with ScalaNumericConversions with Serializable with Product

Self Type
Quaternion[A]
Linear Supertypes
Product, Equals, Serializable, ScalaNumericConversions, ScalaNumericAnyConversions, ScalaNumber, java.lang.Number, Serializable, AnyRef, Any
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Inherited
  1. Quaternion
  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
  1. Public
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Instance Constructors

  1. new Quaternion(r: A, i: A, j: A, k: 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. def %(rhs: Quaternion[A])(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  5. def %(rhs: Complex[A])(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  6. def %(rhs: A)(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  7. def *(rhs: Quaternion[A])(implicit s: Rng[A]): Quaternion[A]

  8. def *(rhs: Complex[A])(implicit s: Rng[A]): Quaternion[A]

  9. def *(rhs: A)(implicit s: Semiring[A]): Quaternion[A]

  10. def **(k: Int)(implicit s: Ring[A]): Quaternion[A]

  11. def +(rhs: Quaternion[A])(implicit s: Semiring[A]): Quaternion[A]

  12. def +(rhs: Complex[A])(implicit s: Semiring[A]): Quaternion[A]

  13. def +(rhs: A)(implicit s: Semiring[A]): Quaternion[A]

  14. def -(rhs: Quaternion[A])(implicit s: Rng[A]): Quaternion[A]

  15. def -(rhs: Complex[A])(implicit s: Rng[A]): Quaternion[A]

  16. def -(rhs: A)(implicit s: Rng[A]): Quaternion[A]

  17. def /(rhs: Quaternion[A])(implicit f: Field[A]): Quaternion[A]

  18. def /(rhs: Complex[A])(implicit f: Field[A]): Quaternion[A]

  19. def /(rhs: A)(implicit f: Field[A]): Quaternion[A]

  20. def /%(rhs: Quaternion[A])(implicit f: Field[A], o: IsReal[A]): (Quaternion[A], Quaternion[A])

  21. def /%(rhs: Complex[A])(implicit f: Field[A], o: IsReal[A]): (Quaternion[A], Quaternion[A])

  22. def /%(rhs: A)(implicit f: Field[A], o: IsReal[A]): (Quaternion[A], Quaternion[A])

  23. def /~(rhs: Quaternion[A])(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  24. def /~(rhs: Complex[A])(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  25. def /~(rhs: A)(implicit f: Field[A], o: IsReal[A]): Quaternion[A]

  26. final def ==(arg0: AnyRef): Boolean

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

    Definition Classes
    Any
  28. def abs(implicit f: Field[A], o: IsReal[A], n: NRoot[A]): A

  29. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  30. def byteValue(): Byte

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  31. def ceil(implicit o: IsReal[A]): Quaternion[A]

  32. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  33. def conjugate(implicit s: Rng[A]): Quaternion[A]

  34. def dot(rhs: Quaternion[A])(implicit f: Field[A]): A

  35. def doubleValue(): Double

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  36. final def eq(arg0: AnyRef): Boolean

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

    Definition Classes
    Quaternion → Equals → AnyRef → Any
  38. def eqv(rhs: Quaternion[A])(implicit o: Eq[A]): Boolean

  39. def finalize(): Unit

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

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  41. def floor(implicit o: IsReal[A]): Quaternion[A]

  42. def fpow(k0: A)(implicit f: Field[A], o: IsReal[A], n0: NRoot[A], tr: Trig[A]): Quaternion[A]

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

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

    Definition Classes
    Quaternion → AnyRef → Any
  45. val i: A

  46. def intValue(): Int

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  47. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  48. def isPure(implicit o: IsReal[A]): Boolean

  49. def isReal(implicit o: IsReal[A]): Boolean

  50. def isValidByte: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  51. def isValidChar: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  52. final def isValidInt: Boolean

    Definition Classes
    Quaternion → ScalaNumericAnyConversions
  53. def isValidShort: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  54. def isWhole(): Boolean

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → ScalaNumber
  55. def isZero(implicit o: IsReal[A]): Boolean

  56. val j: A

  57. val k: A

  58. def longValue(): Long

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  59. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  60. def neqv(rhs: Quaternion[A])(implicit o: Eq[A]): Boolean

  61. final def notify(): Unit

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

    Definition Classes
    AnyRef
  63. def nroot(m: Int)(implicit f: Field[A], o: IsReal[A], n0: NRoot[A], tr: Trig[A]): Quaternion[A]

  64. def pow(k: Int)(implicit s: Ring[A]): Quaternion[A]

  65. def pure(implicit s: Semiring[A]): Quaternion[A]

  66. def pureAbs(implicit f: Field[A], o: IsReal[A], n: NRoot[A]): A

  67. def pureSignum(implicit f: Field[A], o: IsReal[A], n: NRoot[A]): Quaternion[A]

  68. def quaternionSignum(implicit f: Field[A], o: IsReal[A], n: NRoot[A]): Quaternion[A]

  69. val r: A

  70. def real(implicit s: Semiring[A]): Quaternion[A]

  71. def reciprocal(implicit f: Field[A]): Quaternion[A]

  72. def round(implicit o: IsReal[A]): Quaternion[A]

  73. def shortValue(): Short

    Definition Classes
    Quaternion → ScalaNumericAnyConversions → Number
  74. def signum(implicit o: IsReal[A]): Int

  75. def sqrt(implicit f: Field[A], o: IsReal[A], n0: NRoot[A]): Quaternion[A]

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

    Definition Classes
    AnyRef
  77. def toByte: Byte

    Definition Classes
    ScalaNumericAnyConversions
  78. def toChar: Char

    Definition Classes
    ScalaNumericAnyConversions
  79. def toComplex: Complex[A]

  80. def toDouble: Double

    Definition Classes
    ScalaNumericAnyConversions
  81. def toFloat: Float

    Definition Classes
    ScalaNumericAnyConversions
  82. def toInt: Int

    Definition Classes
    ScalaNumericAnyConversions
  83. def toLong: Long

    Definition Classes
    ScalaNumericAnyConversions
  84. def toShort: Short

    Definition Classes
    ScalaNumericAnyConversions
  85. def toString(): String

    Definition Classes
    Quaternion → AnyRef → Any
  86. def unary_-(implicit s: Rng[A]): Quaternion[A]

  87. def underlying(): AnyRef

    Definition Classes
    Quaternion → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber
  88. def unifiedPrimitiveEquals(x: Any): Boolean

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

    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions
  90. def unit(implicit f: Field[A], o: IsReal[A], n: NRoot[A]): Quaternion[A]

  91. final def wait(): Unit

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

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

    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