c

superficial

OrientableSurface

case class OrientableSurface(g: Int, r: Int) extends Product with Serializable

Contribution of Ankit-Jaiswal and Soumyo Biswas, independent of the rest of the code.

'a' and 'b' are the two Generators of a OrientableSurface, parametrized by the genus number. And 's' is the generator corressponding to surface's boundary, parametrized by r, the number of components. Because their inverse can also generate the fundamental group; therefore they are also being considered as Generators.

Linear Supertypes
Serializable, Product, Equals, AnyRef, Any
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Inherited
  1. OrientableSurface
  2. Serializable
  3. Product
  4. Equals
  5. AnyRef
  6. Any
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new OrientableSurface(g: Int, r: Int)

Type Members

  1. type Word = Vector[Generator]

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. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  6. def countRespectingR(xs: Word): Int
  7. val d: Int
  8. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  9. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable])
  10. val g: Int
  11. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  12. val greekR: Vector[Product with Generator with Serializable]
  13. def inv(xs: Word): Word
  14. def invRelInv(xs: Word): Word
  15. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  16. def isSimple(xs: Word): Boolean
  17. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  19. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  20. def productElementNames: Iterator[String]
    Definition Classes
    Product
  21. val r: Int
  22. def red1(xs: Word): Word
  23. def red2(xs: Word): Word
  24. def red3(xs: Word): Word
  25. def reduce(xs: Word): Word
  26. def relInv(xs: Word): Word
  27. val relation: Word

    Here, word/closed curve is simply a list of genrators.

    Here, word/closed curve is simply a list of genrators. List with one element represents Simple closed curve, and empty list represents the null element or precisely, a closed curve homotopic to a point.

  28. val relationInv: Word
  29. def respectsR(xs: Word, m: Int): Boolean
  30. def satisfyEquation(xs: Word, i: Int, j: Int): Boolean
  31. def subred1(xs: Word): Word
  32. def subred2(xs: Word, i: Int, n: Int): Word
  33. def subred3(xs: Word, i: Int): Word
  34. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  35. val vecB: Vector[b]
  36. val vecInvA: Vector[Inverse]
  37. val vecInvS: Vector[Inverse]
  38. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  39. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  40. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  41. def windingT(xs: Word): Int

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Ungrouped