spire.algebra

Torsor

trait Torsor[V, R] extends Action[V, R]

A Torsor[V, R] requires an AbGroup[R] and provides Action[V, R], plus a diff operator, <-> in additive notation, such that:

1. (g <-> g) === scalar.id for all g in G.

2. (g <-> h) +> h === g for all g, h in G.

3. (g <-> h) +> i === (i <-> h) +> g for all g, h in G.

4. (g <-> h) === -(h <-> g) for all g, h in G.

Self Type
Torsor[V, R]
Linear Supertypes
Action[V, R], RightAction[V, R], LeftAction[V, R], Any
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Inherited
  1. Torsor
  2. Action
  3. RightAction
  4. LeftAction
  5. Any
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Abstract Value Members

  1. abstract def actl(g: R, p: V): V

    Definition Classes
    LeftAction

  2. abstract def actr(p: V, g: R): V

    Definition Classes
    RightAction

  3. abstract def diff(v: V, w: V): R

  4. abstract def getClass(): Class[_]

    Definition Classes
    Any

Concrete Value Members

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

    Definition Classes
    Any

  2. final def ##(): Int

    Definition Classes
    Any

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

    Definition Classes
    Any

  4. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  5. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  6. def fixOrigin(id0: V): AbGroup[V]

  7. def hashCode(): Int

    Definition Classes
    Any

  8. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  9. def toString(): String

    Definition Classes
    Any

Inherited from Action[V, R]

Inherited from RightAction[V, R]

Inherited from LeftAction[V, R]

Inherited from Any

Ungrouped