object PantsSurface extends Serializable
- Alphabetic
- By Inheritance
- PantsSurface
- Serializable
- AnyRef
- Any
- Hide All
- Show All
- Public
- Protected
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- val all: LazyList[Vector[PantsSurface]]
lazy list of vectors of all connected surfaces, possibly with boundary, with a given number of pants
- val allClosed: LazyList[Vector[PantsSurface]]
lazy list of vectors of all closed surfaces, with a given number of pants
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def bers(g: Int): Int
Bers constant - upper bound on the length of pants in a minimal pants decomposition
Bers constant - upper bound on the length of pants in a minimal pants decomposition
- g
the genus
- returns
the Bers upper bound
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- def distinct(surfaces: Vector[PantsSurface]): Vector[PantsSurface]
vector of surfaces with duplicates up to isomorphism purged
vector of surfaces with duplicates up to isomorphism purged
- surfaces
an initial collection of surfaces
- returns
vector of isomorphism class representatives for the original collection
- def edge(pb: PantsBoundary, top: Boolean, positivelyOriented: Boolean, cs: Set[Curve]): Edge
given an edge in a pants boundary, returns an edge in the two complex from the pants decomposition correspoding to this (image in the quotient)
given an edge in a pants boundary, returns an edge in the two complex from the pants decomposition correspoding to this (image in the quotient)
- pb
the pants boundary
- top
whether this is the top edge
- positivelyOriented
whether the edge is positively oriented
- cs
the curve system
- returns
edge in the quotient two complex
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def fillSeams(pants: Index, segments: Vector[Vector[Edge]]): Vector[Edge]
fill in seams in a skew pants decomposition given collections of edges that are in a fixed pair of pants
fill in seams in a skew pants decomposition given collections of edges that are in a fixed pair of pants
- pants
index of pants containing the edges
- segments
the collections of sequences of edges
- returns
sequence of edges with gaps filled in by seams
- def fillSeamsRec(pants: Index, segments: Vector[Vector[Edge]], gapLess: Vector[Edge]): Vector[Edge]
recursively fill in seams in a skew pants decomposition given collections of edges that are in a fixed pair of pants
recursively fill in seams in a skew pants decomposition given collections of edges that are in a fixed pair of pants
- pants
index of pants containing the edges
- segments
the collections of sequences of edges
- gapLess
the sequence of edges obtained so far without gaps
- returns
sequence of edges with gaps filled in by seams
- def getAll(n: Int): Vector[PantsSurface]
determine isomorophism classes of connected pants decompositions recursively
determine isomorophism classes of connected pants decompositions recursively
- n
number of pairs of pants
- returns
Vector of representatives of isomorphism classes of connected pants decompositions
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def getCurve(pb: PantsBoundary, cs: Set[Curve]): Option[(Curve, Boolean)]
given a pants boundary, returns a curve if any that contains this (each curve is obtained by identifying two pants boundaries), and whether this is on the left
given a pants boundary, returns a curve if any that contains this (each curve is obtained by identifying two pants boundaries), and whether this is on the left
- pb
the pants boundary
- cs
the curve system
- returns
optionally pair consisting of a curve and a boolean (whether on left)
- def getSkewCurve(pb: PantsBoundary, cs: Set[SkewCurve]): Option[(SkewCurve, Boolean)]
given a pants boundary, returns a skew curve if any that contains this (each curve is obtained by identifying two pants boundaries), and whether this is on the left
given a pants boundary, returns a skew curve if any that contains this (each curve is obtained by identifying two pants boundaries), and whether this is on the left
- pb
the pants boundary
- cs
the curve system
- returns
optionally pair consisting of a skew curve and a boolean (whether on left)
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def isomorphic(first: PantsSurface, second: PantsSurface): Boolean
determine whether the pants decompositions are isomorphic
determine whether the pants decompositions are isomorphic
- first
the first pants decomposition
- second
the second pants decomposition
- returns
boolean : whether isomorphic
- val margulis: Double
Margulis constant
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def seam(pants: Index, direction: Z3, cs: Set[Curve], top: Boolean): PantsSeam
seam as an edge in the two complex from the pants decomposition
seam as an edge in the two complex from the pants decomposition
- pants
index of pants
- direction
direction of the (initial point of the) seam
- cs
the curve system
- top
whether the seam is from the top face
- returns
edge in the two complex
- def skewEdges(pb: PantsBoundary, top: Boolean, positivelyOriented: Boolean, cs: Set[SkewCurve]): Vector[Edge]
given an edge in a pants boundary, returns a vector ofedges in the two complex from the skew pants decomposition correspoding to this (image in the quotient); the vector has one or two edges
given an edge in a pants boundary, returns a vector ofedges in the two complex from the skew pants decomposition correspoding to this (image in the quotient); the vector has one or two edges
- pb
the pants boundary
- top
whether this is the top edge
- positivelyOriented
whether the edge is positively oriented
- cs
the curve system
- returns
edge in the quotient two complex
- def skewVertices(pb: PantsBoundary, top: Boolean, cs: Set[SkewCurve]): Set[Vertex]
given an edge in a pants boundary, returns a vector of the vertices in the two complex from the skew pants decomposition contained in the image of the edge
given an edge in a pants boundary, returns a vector of the vertices in the two complex from the skew pants decomposition contained in the image of the edge
- pb
the pants boundary
- cs
the curve sysem
- returns
vector of vertices in the quotient two complex
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- def vertex(pb: PantsBoundary, first: Boolean, cs: Set[Curve]): Vertex
given a vertex in a pants boundary, returns a vertex in the two complex from the pants decomposition correspoding to this (image in the quotient)
given a vertex in a pants boundary, returns a vertex in the two complex from the pants decomposition correspoding to this (image in the quotient)
- pb
the pants boundary
- first
whether this is the first vertex
- cs
the curve sysem
- returns
vertex in the quotient two complex
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated