basis.math

F3

trait F3 extends FN

An abstract 3-dimensional vector space over a ring.

Self Type
F3
Source
F3.scala
Version

0.1

Since

0.0

Linear Supertypes
FN, VectorSpace, AnyRef, Any
Known Subclasses
R3, RI3, Z3, ZI3
Type Hierarchy Learn more about scaladoc diagrams
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Inherited
  1. F3
  2. FN
  3. VectorSpace
  4. AnyRef
  5. Any
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Visibility
  1. Public
  2. All

Type Members

  1. type Scalar = Element

    The type of scalars in this vector space.

    The type of scalars in this vector space.

    Definition Classes
    VectorSpace

  2. abstract type Vector <: VectorF3

    The type of vectors in this vector space.

    The type of vectors in this vector space.

    Definition Classes
    F3 → FN → VectorSpace

  3. trait VectorElement extends Any

    A vector in this vector space.

    A vector in this vector space.

    Definition Classes
    VectorSpace

  4. trait VectorF3 extends VectorFN

  5. trait VectorFN extends VectorElement

    Definition Classes
    FN

Abstract Value Members

  1. abstract val Scalar: Ring

    Returns the scalar set of this vector space.

    Returns the scalar set of this vector space.

    Definition Classes
    VectorSpace

  2. implicit abstract def ScalarTag: ClassTag[Scalar]

    Definition Classes
    FN

  3. abstract def apply(x: Scalar, y: Scalar, z: Scalar): Vector

    Returns a new vector with 𝑥, 𝑦 and 𝑧 coordinates.

Concrete 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. def apply(coords: Array[Scalar]): Vector

    Returns a new vector with the given coordinates.

    Returns a new vector with the given coordinates.

    Definition Classes
    F3 → FN

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  7. def dim: Int

    Returns the dimension of this vector space.

    Returns the dimension of this vector space.

    Definition Classes
    F3 → FN

  8. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  9. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  10. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

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

    Definition Classes
    AnyRef → Any

  12. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  13. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  14. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  15. final def notify(): Unit

    Definition Classes
    AnyRef

  16. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

    Definition Classes
    AnyRef

  18. def toString(): String

    Definition Classes
    AnyRef → Any

  19. def unapply(vector: Vector): Option[(Scalar, Scalar, Scalar)]

    Extracts the 𝑥, 𝑦 and 𝑧 coordinates from a vector.

  20. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  21. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  22. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  23. def zero: Vector

    Returns the additive identity of this vector space.

    Returns the additive identity of this vector space.

    Definition Classes
    F3 → FN → VectorSpace

Inherited from FN

Inherited from VectorSpace

Inherited from AnyRef

Inherited from Any

Ungrouped