igeo

## Interface IVecI

- All Superinterfaces:
    IArithmeticVal<IVecI,IDoubleI>, IParameter, ITransformable, IVal, IVecOp
  All Known Subinterfaces:
    IBoidI, IParticleI, IParticleOnCurveI, IVec4I
  All Known Implementing Classes:
    IBoid, IBoidGeo, IBoidTrajectory, IDataAgent, ILinkedDataAgent, ILinkedScalarAgent, ILinkedVec2Agent, ILinkedVecAgent, IParticle, IParticleAgent, IParticleGeo, IParticleOnCurve, IParticleOnCurveAgent, IParticleOnCurveGeo, IParticleOnMeshGeo, IParticleOnPlane, IParticleOnPlaneGeo, IParticleTrajectory, IPoint, IPointAgent, IPointR, IVec, IVec4, IVec4R, IVecR, IVectorObject, IVertex

      public interface IVecI
      extends IVecOp, ITransformable, IArithmeticVal<IVecI,IDoubleI>

  Abstract interface of 3 dimensional vector.
  Author:
    Satoru Sugihara

- - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `IVecI` | `add(double x, double y, double z)`
    `IVecI` | `add(double f, IVecI v)` scale add
    `IVecI` | `add(IDoubleI x, IDoubleI y, IDoubleI z)`
    `IVecI` | `add(IDoubleI f, IVecI v)` scale add
    `IVecI` | `add(IVecI v)`
    `IVecI` | `add(IVecI v, double f)` scale add
    `IVecI` | `add(IVecI v, IDoubleI f)` scale add
    `double` | `angle(double vx, double vy, double vz)` get angle between two vector from 0 to Pi
    `double` | `angle(double vx, double vy, double vz, double axisX, double axisY, double axisZ)`
    `double` | `angle(ISwitchE e, IVecI v)` get angle between two vector from 0 to Pi
    `double` | `angle(ISwitchE e, IVecI v, IVecI axis)`
    `IDoubleI` | `angle(ISwitchR r, IVecI v)` get angle between two vector from 0 to Pi
    `IDoubleI` | `angle(ISwitchR r, IVecI v, IVecI axis)`
    `double` | `angle(IVecI v)` get angle between two vector from 0 to Pi
    `double` | `angle(IVecI v, IVecI axis)`
    `IVecI` | `bisect(double vx, double vy, double vz)` create a new instance of bisector
    `IVecI` | `bisect(IVecI v)` create a new instance of bisector
    `IVecI` | `cp()` cp() is alias of dup()
    `IVecI` | `cp(double x, double y, double z)` cp() is alias of dup().add()
    `IVecI` | `cp(IDoubleI x, IDoubleI y, IDoubleI z)` cp() is alias of dup().add()
    `IVecI` | `cp(IVecI v)` cp() is alias of dup().add()
    `IVecI` | `cross(double vx, double vy, double vz)` cross product, creating a new instance
    `IVecI` | `cross(IVecI v)` cross product, creating a new instance
    `IVecI` | `dif(double vx, double vy, double vz)` create a new instance of difference
    `IVecI` | `dif(IVecI v)` create a new instance of difference
    `IVecI` | `diff(double vx, double vy, double vz)` alias of dif
    `IVecI` | `diff(IVecI v)` alias of dif
    `double` | `dist(double vx, double vy, double vz)` distance of two vectors
    `double` | `dist(ISwitchE e, IVecI v)` distance of two vectors
    `IDoubleI` | `dist(ISwitchR r, IVecI v)` distance of two vectors
    `double` | `dist(IVecI v)` distance of two vectors
    `double` | `dist2(double vx, double vy, double vz)` squared distance of two vectors
    `double` | `dist2(ISwitchE e, IVecI v)` squared distance of two vectors
    `IDoubleI` | `dist2(ISwitchR r, IVecI v)` squared distance of two vectors
    `double` | `dist2(IVecI v)` squared distance of two vectors
    `IVecI` | `div(double v)`
    `IVecI` | `div(IDoubleI v)`
    `double` | `dot(double vx, double vy, double vz)` dot product
    `double` | `dot(ISwitchE e, IVecI v)` dot product
    `IDoubleI` | `dot(ISwitchR r, IVecI v)` dot product
    `double` | `dot(IVecI v)` dot product
    `IVecI` | `dup()` duplicate the instance
    `boolean` | `eq(double vx, double vy, double vz)` check whether location is same or not
    `boolean` | `eq(double vx, double vy, double vz, double tolerance)` check whether location is same or not with tolerance
    `boolean` | `eq(ISwitchE e, IVecI v)` check whether location is same or not
    `boolean` | `eq(ISwitchE e, IVecI v, double tolerance)` check whether location is same or not with tolerance
    `IBoolI` | `eq(ISwitchR r, IVecI v)` check whether location is same or not
    `IBoolI` | `eq(ISwitchR r, IVecI v, IDoubleI tolerance)` check whether location is same or not with tolerance
    `boolean` | `eq(IVecI v)` check whether location is same or not
    `boolean` | `eq(IVecI v, double tolerance)` check whether location is same or not with tolerance
    `boolean` | `eqX(double vx)` check if same in X
    `boolean` | `eqX(double vx, double tolerance)` check if same in X with tolerance
    `boolean` | `eqX(ISwitchE e, IVecI v)` check if same in X
    `boolean` | `eqX(ISwitchE e, IVecI v, double tolerance)` check if same in X with tolerance
    `IBoolI` | `eqX(ISwitchR r, IVecI v)` check if same in X
    `IBoolI` | `eqX(ISwitchR r, IVecI v, IDoubleI tolerance)` check if same in X with tolerance
    `boolean` | `eqX(IVecI v)` check if same in X
    `boolean` | `eqX(IVecI v, double tolerance)` check if same in X with tolerance
    `boolean` | `eqY(double vy)` check if same in Y
    `boolean` | `eqY(double vy, double tolerance)` check if same in Y with tolerance
    `boolean` | `eqY(ISwitchE e, IVecI v)` check if same in Y
    `boolean` | `eqY(ISwitchE e, IVecI v, double tolerance)` check if same in Y with tolerance
    `IBoolI` | `eqY(ISwitchR r, IVecI v)` check if same in Y
    `IBoolI` | `eqY(ISwitchR r, IVecI v, IDoubleI tolerance)` check if same in Y with tolerance
    `boolean` | `eqY(IVecI v)` check if same in Y
    `boolean` | `eqY(IVecI v, double tolerance)` check if same in Y with tolerance
    `boolean` | `eqZ(double vz)` check if same in Z
    `boolean` | `eqZ(double vz, double tolerance)` check if same in Z with tolerance
    `boolean` | `eqZ(ISwitchE e, IVecI v)` check if same in Z
    `boolean` | `eqZ(ISwitchE e, IVecI v, double tolerance)` check if same in Z with tolerance
    `IBoolI` | `eqZ(ISwitchR r, IVecI v)` check if same in Z
    `IBoolI` | `eqZ(ISwitchR r, IVecI v, IDoubleI tolerance)` check if same in Z with tolerance
    `boolean` | `eqZ(IVecI v)` check if same in Z
    `boolean` | `eqZ(IVecI v, double tolerance)` check if same in Z with tolerance
    `IVecI` | `flip()` alias of neg()
    `IVec` | `get()`
    `IDoubleI` | `getX()`
    `IDoubleI` | `getY()`
    `IDoubleI` | `getZ()`
    `boolean` | `isValid()` check if the content of vector is valid; no NaN value
    `double` | `len()` getting length of the vector
    `IVecI` | `len(double l)` setting length
    `IVecI` | `len(IDoubleI l)` setting length
    `double` | `len(ISwitchE e)` getting length of the vector
    `IDoubleI` | `len(ISwitchR r)` getting length of the vector
    `double` | `len2()` getting squared length of the vector
    `double` | `len2(ISwitchE e)` getting squared length of the vector
    `IDoubleI` | `len2(ISwitchR r)` getting squared length of the vector
    `IVecI` | `mid(double vx, double vy, double vz)` create a new instance of midpoint
    `IVecI` | `mid(IVecI v)` create a new instance of midpoint
    `IVecI` | `mirror(double planeX, double planeY, double planeZ)` alias of ref
    `IVecI` | `mirror(double centerX, double centerY, double centerZ, double planeX, double planeY, double planeZ)` alias of ref
    `IVecI` | `mirror(IVecI planeDir)` alias of ref
    `IVecI` | `mirror(IVecI center, IVecI planeDir)` alias of ref
    `IVecI` | `mul(double v)`
    `IVecI` | `mul(IDoubleI v)`
    `IVecI` | `mv(double x, double y, double z)` mv() is alias of add()
    `IVecI` | `mv(IDoubleI x, IDoubleI y, IDoubleI z)` mv() is alias of add()
    `IVecI` | `mv(IVecI v)` mv() is alias of add()
    `IVecI` | `neg()`
    `IVecI` | `nml(double vx, double vy, double vz)` alias of cross
    `IVecI` | `nml(double vx1, double vy1, double vz1, double vx2, double vy2, double vz2)` create normal vector from 3 points of self, pt1 and pt2
    `IVecI` | `nml(IVecI v)` alias of cross
    `IVecI` | `nml(IVecI pt1, IVecI pt2)` create normal vector from 3 points of self, pt1 and pt2
    `IVecI` | `ref(double planeX, double planeY, double planeZ)` reflect(mirror) 3 dimensionally to the other side of the plane
    `IVecI` | `ref(double centerX, double centerY, double centerZ, double planeX, double planeY, double planeZ)` reflect(mirror) 3 dimensionally to the other side of the plane
    `IVecI` | `ref(IVecI planeDir)` reflect(mirror) 3 dimensionally to the other side of the plane
    `IVecI` | `ref(IVecI center, IVecI planeDir)` reflect(mirror) 3 dimensionally to the other side of the plane
    `IVecI` | `rev()` alias of neg()
    `IVecI` | `rot(double angle)` rotation on XY plane
    `IVecI` | `rot(double axisX, double axisY, double axisZ, double angle)` rotation around axis vector
    `IVecI` | `rot(double centerX, double centerY, double centerZ, double axisX, double axisY, double axisZ, double angle)` rotation around axis vector and center point
    `IVecI` | `rot(IDoubleI angle)` rotation on XY plane
    `IVecI` | `rot(IVecI axis, double angle)` rotation around axis vector
    `IVecI` | `rot(IVecI axis, IDoubleI angle)` rotation around axis vector
    `IVecI` | `rot(IVecI axis, IVecI destDir)` rotate to destination direction vector
    `IVecI` | `rot(IVecI center, IVecI axis, double angle)` rotation around axis vector and center point
    `IVecI` | `rot(IVecI center, IVecI axis, IDoubleI angle)` rotation around axis vector and center point
    `IVecI` | `rot(IVecI center, IVecI axis, IVecI destPt)` rotate to destination point location
    `IVecI` | `rot2(double angle)` rotation on xy-plane; alias of rot(double)
    `IVecI` | `rot2(double centerX, double centerY, double angle)` rotation on xy-plane
    `IVecI` | `rot2(IDoubleI angle)` rotation on xy-plane; alias of rot(IDoubleI)
    `IVecI` | `rot2(IVecI destDir)` rotation on xy-plane towards destDir
    `IVecI` | `rot2(IVecI center, double angle)` rotation on xy-plane
    `IVecI` | `rot2(IVecI center, IDoubleI angle)` rotation on xy-plane
    `IVecI` | `rot2(IVecI center, IVecI destPt)` rotation on xy-plane towards destPt
    `IVecI` | `scale(double f)` alias of mul
    `IVecI` | `scale(double centerX, double centerY, double centerZ, double f)` scale from a center
    `IVecI` | `scale(IDoubleI f)` alias of mul
    `IVecI` | `scale(IVecI center, double f)` scale from a center
    `IVecI` | `scale(IVecI center, IDoubleI f)` scale from a center
    `IVecI` | `scale1d(double axisX, double axisY, double axisZ, double f)` scale only in 1 direction
    `IVecI` | `scale1d(double centerX, double centerY, double centerZ, double axisX, double axisY, double axisZ, double f)` scale only in 1 direction from a center
    `IVecI` | `scale1d(IVecI axis, double f)` scale only in 1 direction
    `IVecI` | `scale1d(IVecI axis, IDoubleI f)` scale only in 1 direction
    `IVecI` | `scale1d(IVecI center, IVecI axis, double f)` scale only in 1 direction from a center
    `IVecI` | `scale1d(IVecI center, IVecI axis, IDoubleI f)` scale only in 1 direction from a center
    `IVecI` | `set(double x, double y, double z)`
    `IVecI` | `set(IDoubleI x, IDoubleI y, IDoubleI z)`
    `IVecI` | `set(IVecI v)`
    `IVecI` | `shear(double sxy, double syx, double syz, double szy, double szx, double sxz)` shear operation
    `IVecI` | `shear(IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)` shear operation
    `IVecI` | `shear(IVecI center, double sxy, double syx, double syz, double szy, double szx, double sxz)` shear operation
    `IVecI` | `shear(IVecI center, IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)` shear operation
    `IVecI` | `shearXY(double sxy, double syx)` shear operation on XY
    `IVecI` | `shearXY(IDoubleI sxy, IDoubleI syx)` shear operation on XY
    `IVecI` | `shearXY(IVecI center, double sxy, double syx)` shear operation on XY
    `IVecI` | `shearXY(IVecI center, IDoubleI sxy, IDoubleI syx)` shear operation on XY
    `IVecI` | `shearYZ(double syz, double szy)` shear operation on YZ
    `IVecI` | `shearYZ(IDoubleI syz, IDoubleI szy)` shear operation on YZ
    `IVecI` | `shearYZ(IVecI center, double syz, double szy)` shear operation on YZ
    `IVecI` | `shearYZ(IVecI center, IDoubleI syz, IDoubleI szy)` shear operation on YZ
    `IVecI` | `shearZX(double szx, double sxz)` shear operation on ZX
    `IVecI` | `shearZX(IDoubleI szx, IDoubleI sxz)` shear operation on ZX
    `IVecI` | `shearZX(IVecI center, double szx, double sxz)` shear operation on ZX
    `IVecI` | `shearZX(IVecI center, IDoubleI szx, IDoubleI sxz)` shear operation on ZX
    `IVecI` | `sub(double x, double y, double z)`
    `IVecI` | `sub(IDoubleI x, IDoubleI y, IDoubleI z)`
    `IVecI` | `sub(IVecI v)`
    `IVecI` | `sum(double vx, double vy, double vz)` create a new instance of total summation
    `IVecI` | `sum(IVecI... v)` create a new instance of total summation
    `IVecI` | `sum(IVecI v)` create a new instance of total summation
    `IVecI` | `sum(IVecI v2, double w2)` create a new instance of weighted sum
    `IVecI` | `sum(IVecI v2, double w1, double w2)` create a new instance of weighted sum
    `IVecI` | `sum(IVecI v2, IDoubleI w2)` create a new instance of weighted sum
    `IVecI` | `sum(IVecI v2, IDoubleI w1, IDoubleI w2)` create a new instance of weighted sum
    `IVec2I` | `to2d()`
    `IVec2I` | `to2d(IVecI projectionDir)`
    `IVec2I` | `to2d(IVecI xaxis, IVecI yaxis)`
    `IVec2I` | `to2d(IVecI xaxis, IVecI yaxis, IVecI origin)`
    `IVec4I` | `to4d()`
    `IVec4I` | `to4d(double w)`
    `IVec4I` | `to4d(IDoubleI w)`
    `IVecI` | `transform(IMatrix3I mat)` transform with a transformation matrix
    `IVecI` | `transform(IMatrix4I mat)` transform with a transformation matrix
    `IVecI` | `transform(IVecI xvec, IVecI yvec, IVecI zvec)` transform with a transformation vectors
    `IVecI` | `transform(IVecI xvec, IVecI yvec, IVecI zvec, IVecI translate)` transform with a transformation vectors
    `IVecI` | `translate(double x, double y, double z)` alias of add()
    `IVecI` | `translate(IDoubleI x, IDoubleI y, IDoubleI z)` alias of add()
    `IVecI` | `translate(IVecI v)` alias of add()
    `IVecI` | `unit()` unitize
    `double` | `x()` getting x component
    `IVecI` | `x(double vx)` setting x component
    `IVecI` | `x(IDoubleI vx)` setting x component
    `double` | `x(ISwitchE e)` getting x component
    `IDoubleI` | `x(ISwitchR r)` getting x component
    `IVecI` | `x(IVec2I v)` setting x component by x component of input vector
    `IVecI` | `x(IVecI v)` setting x component by x component of input vector
    `double` | `y()` getting y component
    `IVecI` | `y(double vy)` setting y component
    `IVecI` | `y(IDoubleI vy)` setting y component
    `double` | `y(ISwitchE e)` getting y component
    `IDoubleI` | `y(ISwitchR r)` getting y component
    `IVecI` | `y(IVec2I v)` setting y component by y component of input vector
    `IVecI` | `y(IVecI v)` setting y component by y component of input vector
    `double` | `z()` getting z component
    `IVecI` | `z(double vz)` setting z component
    `IVecI` | `z(IDoubleI vz)` setting z component
    `double` | `z(ISwitchE e)` getting z component
    `IDoubleI` | `z(ISwitchR r)` getting z component
    `IVecI` | `z(IVecI v)` setting z component by z component of input vector
    `IVecI` | `zero()` setting all zero

- - ### Method Detail

    - #### x

          double x()

      getting x component

    - #### y

          double y()

      getting y component

    - #### z

          double z()

      getting z component

    - #### x

          IVecI x(double vx)

      setting x component

    - #### y

          IVecI y(double vy)

      setting y component

    - #### z

          IVecI z(double vz)

      setting z component

    - #### x

          IVecI x(IDoubleI vx)

      setting x component

    - #### y

          IVecI y(IDoubleI vy)

      setting y component

    - #### z

          IVecI z(IDoubleI vz)

      setting z component

    - #### x

          IVecI x(IVecI v)

      setting x component by x component of input vector

    - #### y

          IVecI y(IVecI v)

      setting y component by y component of input vector

    - #### z

          IVecI z(IVecI v)

      setting z component by z component of input vector

    - #### x

          IVecI x(IVec2I v)

      setting x component by x component of input vector

    - #### y

          IVecI y(IVec2I v)

      setting y component by y component of input vector

    - #### x

          double x(ISwitchE e)

      getting x component

    - #### y

          double y(ISwitchE e)

      getting y component

    - #### z

          double z(ISwitchE e)

      getting z component

    - #### x

          IDoubleI x(ISwitchR r)

      getting x component

    - #### y

          IDoubleI y(ISwitchR r)

      getting y component

    - #### z

          IDoubleI z(ISwitchR r)

      getting z component

    - #### get

          IVec get()

      Specified by:
        `get` in interface `IParameter`
      Specified by:
        `get` in interface `IVecOp`

    - #### dup

          IVecI dup()

      Description copied from interface: `ITransformable`
      duplicate the instance
      Specified by:
        `dup` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `dup` in interface `ITransformable`

    - #### to2d

          IVec2I to2d()

    - #### to2d

          IVec2I to2d(IVecI projectionDir)

    - #### to2d

          IVec2I to2d(IVecI xaxis,
                    IVecI yaxis)

    - #### to2d

          IVec2I to2d(IVecI xaxis,
                    IVecI yaxis,
                    IVecI origin)

    - #### to4d

          IVec4I to4d()

    - #### to4d

          IVec4I to4d(double w)

    - #### to4d

          IVec4I to4d(IDoubleI w)

    - #### getX

          IDoubleI getX()

    - #### getY

          IDoubleI getY()

    - #### getZ

          IDoubleI getZ()

    - #### set

          IVecI set(IVecI v)

      Specified by:
        `set` in interface `IArithmeticVal<IVecI,IDoubleI>`

    - #### set

          IVecI set(double x,
                  double y,
                  double z)

    - #### set

          IVecI set(IDoubleI x,
                  IDoubleI y,
                  IDoubleI z)

    - #### add

          IVecI add(double x,
                  double y,
                  double z)

      Specified by:
        `add` in interface `ITransformable`

    - #### add

          IVecI add(IDoubleI x,
                  IDoubleI y,
                  IDoubleI z)

      Specified by:
        `add` in interface `ITransformable`

    - #### add

          IVecI add(IVecI v)

      Specified by:
        `add` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `add` in interface `ITransformable`

    - #### sub

          IVecI sub(double x,
                  double y,
                  double z)

      Specified by:
        `sub` in interface `ITransformable`

    - #### sub

          IVecI sub(IDoubleI x,
                  IDoubleI y,
                  IDoubleI z)

      Specified by:
        `sub` in interface `ITransformable`

    - #### sub

          IVecI sub(IVecI v)

      Specified by:
        `sub` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `sub` in interface `ITransformable`

    - #### mul

          IVecI mul(IDoubleI v)

      Specified by:
        `mul` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `mul` in interface `ITransformable`

    - #### mul

          IVecI mul(double v)

      Specified by:
        `mul` in interface `ITransformable`

    - #### div

          IVecI div(IDoubleI v)

      Specified by:
        `div` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `div` in interface `ITransformable`

    - #### div

          IVecI div(double v)

      Specified by:
        `div` in interface `ITransformable`

    - #### neg

          IVecI neg()

      Specified by:
        `neg` in interface `ITransformable`

    - #### rev

          IVecI rev()

      alias of neg()

    - #### flip

          IVecI flip()

      alias of neg()
      Specified by:
        `flip` in interface `ITransformable`

    - #### zero

          IVecI zero()

      setting all zero
      Specified by:
        `zero` in interface `IArithmeticVal<IVecI,IDoubleI>`

    - #### add

          IVecI add(IVecI v,
                  double f)

      scale add
      Specified by:
        `add` in interface `ITransformable`

    - #### add

          IVecI add(IVecI v,
                  IDoubleI f)

      scale add
      Specified by:
        `add` in interface `ITransformable`

    - #### add

          IVecI add(double f,
                  IVecI v)

      scale add
      Specified by:
        `add` in interface `ITransformable`

    - #### add

          IVecI add(IDoubleI f,
                  IVecI v)

      scale add
      Specified by:
        `add` in interface `ITransformable`

    - #### dot

          double dot(IVecI v)

      dot product

    - #### dot

          double dot(double vx,
                   double vy,
                   double vz)

      dot product

    - #### dot

          double dot(ISwitchE e,
                   IVecI v)

      dot product

    - #### dot

          IDoubleI dot(ISwitchR r,
                     IVecI v)

      dot product

    - #### cross

          IVecI cross(IVecI v)

      cross product, creating a new instance

    - #### cross

          IVecI cross(double vx,
                    double vy,
                    double vz)

      cross product, creating a new instance

    - #### len

          double len()

      getting length of the vector

    - #### len

          double len(ISwitchE e)

      getting length of the vector

    - #### len

          IDoubleI len(ISwitchR r)

      getting length of the vector

    - #### len2

          double len2()

      getting squared length of the vector

    - #### len2

          double len2(ISwitchE e)

      getting squared length of the vector

    - #### len2

          IDoubleI len2(ISwitchR r)

      getting squared length of the vector

    - #### len

          IVecI len(IDoubleI l)

      setting length

    - #### len

          IVecI len(double l)

      setting length

    - #### unit

          IVecI unit()

      unitize

    - #### dist

          double dist(IVecI v)

      distance of two vectors

    - #### dist

          double dist(double vx,
                    double vy,
                    double vz)

      distance of two vectors

    - #### dist

          double dist(ISwitchE e,
                    IVecI v)

      distance of two vectors

    - #### dist

          IDoubleI dist(ISwitchR r,
                      IVecI v)

      distance of two vectors

    - #### dist2

          double dist2(IVecI v)

      squared distance of two vectors

    - #### dist2

          double dist2(double vx,
                     double vy,
                     double vz)

      squared distance of two vectors

    - #### dist2

          double dist2(ISwitchE e,
                     IVecI v)

      squared distance of two vectors

    - #### dist2

          IDoubleI dist2(ISwitchR r,
                       IVecI v)

      squared distance of two vectors

    - #### eq

          boolean eq(IVecI v)

      check whether location is same or not

    - #### eq

          boolean eq(double vx,
                   double vy,
                   double vz)

      check whether location is same or not

    - #### eq

          boolean eq(ISwitchE e,
                   IVecI v)

      check whether location is same or not

    - #### eq

          IBoolI eq(ISwitchR r,
                  IVecI v)

      check whether location is same or not

    - #### eq

          boolean eq(IVecI v,
                   double tolerance)

      check whether location is same or not with tolerance

    - #### eq

          boolean eq(double vx,
                   double vy,
                   double vz,
                   double tolerance)

      check whether location is same or not with tolerance

    - #### eq

          boolean eq(ISwitchE e,
                   IVecI v,
                   double tolerance)

      check whether location is same or not with tolerance

    - #### eq

          IBoolI eq(ISwitchR r,
                  IVecI v,
                  IDoubleI tolerance)

      check whether location is same or not with tolerance

    - #### eqX

          boolean eqX(IVecI v)

      check if same in X

    - #### eqY

          boolean eqY(IVecI v)

      check if same in Y

    - #### eqZ

          boolean eqZ(IVecI v)

      check if same in Z

    - #### eqX

          boolean eqX(double vx)

      check if same in X

    - #### eqY

          boolean eqY(double vy)

      check if same in Y

    - #### eqZ

          boolean eqZ(double vz)

      check if same in Z

    - #### eqX

          boolean eqX(ISwitchE e,
                    IVecI v)

      check if same in X

    - #### eqY

          boolean eqY(ISwitchE e,
                    IVecI v)

      check if same in Y

    - #### eqZ

          boolean eqZ(ISwitchE e,
                    IVecI v)

      check if same in Z

    - #### eqX

          IBoolI eqX(ISwitchR r,
                   IVecI v)

      check if same in X

    - #### eqY

          IBoolI eqY(ISwitchR r,
                   IVecI v)

      check if same in Y

    - #### eqZ

          IBoolI eqZ(ISwitchR r,
                   IVecI v)

      check if same in Z

    - #### eqX

          boolean eqX(IVecI v,
                    double tolerance)

      check if same in X with tolerance

    - #### eqY

          boolean eqY(IVecI v,
                    double tolerance)

      check if same in Y with tolerance

    - #### eqZ

          boolean eqZ(IVecI v,
                    double tolerance)

      check if same in Z with tolerance

    - #### eqX

          boolean eqX(double vx,
                    double tolerance)

      check if same in X with tolerance

    - #### eqY

          boolean eqY(double vy,
                    double tolerance)

      check if same in Y with tolerance

    - #### eqZ

          boolean eqZ(double vz,
                    double tolerance)

      check if same in Z with tolerance

    - #### eqX

          boolean eqX(ISwitchE e,
                    IVecI v,
                    double tolerance)

      check if same in X with tolerance

    - #### eqY

          boolean eqY(ISwitchE e,
                    IVecI v,
                    double tolerance)

      check if same in Y with tolerance

    - #### eqZ

          boolean eqZ(ISwitchE e,
                    IVecI v,
                    double tolerance)

      check if same in Z with tolerance

    - #### eqX

          IBoolI eqX(ISwitchR r,
                   IVecI v,
                   IDoubleI tolerance)

      check if same in X with tolerance

    - #### eqY

          IBoolI eqY(ISwitchR r,
                   IVecI v,
                   IDoubleI tolerance)

      check if same in Y with tolerance

    - #### eqZ

          IBoolI eqZ(ISwitchR r,
                   IVecI v,
                   IDoubleI tolerance)

      check if same in Z with tolerance

    - #### angle

          double angle(IVecI v)

      get angle between two vector from 0 to Pi

    - #### angle

          double angle(double vx,
                     double vy,
                     double vz)

      get angle between two vector from 0 to Pi

    - #### angle

          double angle(ISwitchE e,
                     IVecI v)

      get angle between two vector from 0 to Pi

    - #### angle

          IDoubleI angle(ISwitchR r,
                       IVecI v)

      get angle between two vector from 0 to Pi

    - #### angle

          double angle(IVecI v,
                     IVecI axis)

      Parameters:
        `axis` - axis to determin sign of angle following right-handed screw rule.
      Returns:
        angle between two vector from -Pi to Pi. Sign follows right-handed screw rule along axis

    - #### angle

          double angle(double vx,
                     double vy,
                     double vz,
                     double axisX,
                     double axisY,
                     double axisZ)

      Returns:
        angle between two vector from -Pi to Pi. Sign follows right-handed screw rule along axis

    - #### angle

          double angle(ISwitchE e,
                     IVecI v,
                     IVecI axis)

      Parameters:
        `axis` - axis to determin sign of angle following right-handed screw rule.
      Returns:
        angle between two vector from -Pi to Pi. Sign follows right-handed screw rule along axis

    - #### angle

          IDoubleI angle(ISwitchR r,
                       IVecI v,
                       IVecI axis)

      Parameters:
        `axis` - axis to determin sign of angle following right-handed screw rule.
      Returns:
        angle between two vector from -Pi to Pi. Sign follows right-handed screw rule along axis

    - #### rot

          IVecI rot(IVecI axis,
                  IDoubleI angle)

      rotation around axis vector
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(IVecI axis,
                  double angle)

      rotation around axis vector
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(double axisX,
                  double axisY,
                  double axisZ,
                  double angle)

      rotation around axis vector

    - #### rot

          IVecI rot(double angle)

      rotation on XY plane
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(IDoubleI angle)

      rotation on XY plane
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(IVecI center,
                  IVecI axis,
                  IDoubleI angle)

      rotation around axis vector and center point
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(IVecI center,
                  IVecI axis,
                  double angle)

      rotation around axis vector and center point
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(double centerX,
                  double centerY,
                  double centerZ,
                  double axisX,
                  double axisY,
                  double axisZ,
                  double angle)

      rotation around axis vector and center point

    - #### rot

          IVecI rot(IVecI axis,
                  IVecI destDir)

      rotate to destination direction vector
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot

          IVecI rot(IVecI center,
                  IVecI axis,
                  IVecI destPt)

      rotate to destination point location
      Specified by:
        `rot` in interface `ITransformable`

    - #### rot2

          IVecI rot2(double angle)

      rotation on xy-plane; alias of rot(double)
      Specified by:
        `rot2` in interface `ITransformable`

    - #### rot2

          IVecI rot2(IDoubleI angle)

      rotation on xy-plane; alias of rot(IDoubleI)
      Specified by:
        `rot2` in interface `ITransformable`

    - #### rot2

          IVecI rot2(IVecI center,
                   double angle)

      rotation on xy-plane
      Specified by:
        `rot2` in interface `ITransformable`

    - #### rot2

          IVecI rot2(IVecI center,
                   IDoubleI angle)

      rotation on xy-plane
      Specified by:
        `rot2` in interface `ITransformable`

    - #### rot2

          IVecI rot2(double centerX,
                   double centerY,
                   double angle)

      rotation on xy-plane

    - #### rot2

          IVecI rot2(IVecI destDir)

      rotation on xy-plane towards destDir
      Specified by:
        `rot2` in interface `ITransformable`

    - #### rot2

          IVecI rot2(IVecI center,
                   IVecI destPt)

      rotation on xy-plane towards destPt
      Specified by:
        `rot2` in interface `ITransformable`

    - #### scale

          IVecI scale(IDoubleI f)

      alias of mul
      Specified by:
        `scale` in interface `ITransformable`

    - #### scale

          IVecI scale(double f)

      alias of mul
      Specified by:
        `scale` in interface `ITransformable`

    - #### scale

          IVecI scale(IVecI center,
                    IDoubleI f)

      scale from a center
      Specified by:
        `scale` in interface `ITransformable`

    - #### scale

          IVecI scale(IVecI center,
                    double f)

      scale from a center
      Specified by:
        `scale` in interface `ITransformable`

    - #### scale

          IVecI scale(double centerX,
                    double centerY,
                    double centerZ,
                    double f)

      scale from a center

    - #### scale1d

          IVecI scale1d(IVecI axis,
                      double f)

      scale only in 1 direction
      Specified by:
        `scale1d` in interface `ITransformable`

    - #### scale1d

          IVecI scale1d(IVecI axis,
                      IDoubleI f)

      scale only in 1 direction
      Specified by:
        `scale1d` in interface `ITransformable`

    - #### scale1d

          IVecI scale1d(double axisX,
                      double axisY,
                      double axisZ,
                      double f)

      scale only in 1 direction

    - #### scale1d

          IVecI scale1d(IVecI center,
                      IVecI axis,
                      double f)

      scale only in 1 direction from a center
      Specified by:
        `scale1d` in interface `ITransformable`

    - #### scale1d

          IVecI scale1d(IVecI center,
                      IVecI axis,
                      IDoubleI f)

      scale only in 1 direction from a center
      Specified by:
        `scale1d` in interface `ITransformable`

    - #### scale1d

          IVecI scale1d(double centerX,
                      double centerY,
                      double centerZ,
                      double axisX,
                      double axisY,
                      double axisZ,
                      double f)

      scale only in 1 direction from a center

    - #### ref

          IVecI ref(IVecI planeDir)

      reflect(mirror) 3 dimensionally to the other side of the plane
      Specified by:
        `ref` in interface `ITransformable`

    - #### ref

          IVecI ref(double planeX,
                  double planeY,
                  double planeZ)

      reflect(mirror) 3 dimensionally to the other side of the plane

    - #### ref

          IVecI ref(IVecI center,
                  IVecI planeDir)

      reflect(mirror) 3 dimensionally to the other side of the plane
      Specified by:
        `ref` in interface `ITransformable`

    - #### ref

          IVecI ref(double centerX,
                  double centerY,
                  double centerZ,
                  double planeX,
                  double planeY,
                  double planeZ)

      reflect(mirror) 3 dimensionally to the other side of the plane

    - #### mirror

          IVecI mirror(IVecI planeDir)

      alias of ref
      Specified by:
        `mirror` in interface `ITransformable`

    - #### mirror

          IVecI mirror(double planeX,
                     double planeY,
                     double planeZ)

      alias of ref

    - #### mirror

          IVecI mirror(IVecI center,
                     IVecI planeDir)

      alias of ref
      Specified by:
        `mirror` in interface `ITransformable`

    - #### mirror

          IVecI mirror(double centerX,
                     double centerY,
                     double centerZ,
                     double planeX,
                     double planeY,
                     double planeZ)

      alias of ref

    - #### shear

          IVecI shear(double sxy,
                    double syx,
                    double syz,
                    double szy,
                    double szx,
                    double sxz)

      shear operation
      Specified by:
        `shear` in interface `ITransformable`

    - #### shear

          IVecI shear(IDoubleI sxy,
                    IDoubleI syx,
                    IDoubleI syz,
                    IDoubleI szy,
                    IDoubleI szx,
                    IDoubleI sxz)

      shear operation
      Specified by:
        `shear` in interface `ITransformable`

    - #### shear

          IVecI shear(IVecI center,
                    double sxy,
                    double syx,
                    double syz,
                    double szy,
                    double szx,
                    double sxz)

      shear operation
      Specified by:
        `shear` in interface `ITransformable`

    - #### shear

          IVecI shear(IVecI center,
                    IDoubleI sxy,
                    IDoubleI syx,
                    IDoubleI syz,
                    IDoubleI szy,
                    IDoubleI szx,
                    IDoubleI sxz)

      shear operation
      Specified by:
        `shear` in interface `ITransformable`

    - #### shearXY

          IVecI shearXY(double sxy,
                      double syx)

      shear operation on XY
      Specified by:
        `shearXY` in interface `ITransformable`

    - #### shearXY

          IVecI shearXY(IDoubleI sxy,
                      IDoubleI syx)

      shear operation on XY
      Specified by:
        `shearXY` in interface `ITransformable`

    - #### shearXY

          IVecI shearXY(IVecI center,
                      double sxy,
                      double syx)

      shear operation on XY
      Specified by:
        `shearXY` in interface `ITransformable`

    - #### shearXY

          IVecI shearXY(IVecI center,
                      IDoubleI sxy,
                      IDoubleI syx)

      shear operation on XY
      Specified by:
        `shearXY` in interface `ITransformable`

    - #### shearYZ

          IVecI shearYZ(double syz,
                      double szy)

      shear operation on YZ
      Specified by:
        `shearYZ` in interface `ITransformable`

    - #### shearYZ

          IVecI shearYZ(IDoubleI syz,
                      IDoubleI szy)

      shear operation on YZ
      Specified by:
        `shearYZ` in interface `ITransformable`

    - #### shearYZ

          IVecI shearYZ(IVecI center,
                      double syz,
                      double szy)

      shear operation on YZ
      Specified by:
        `shearYZ` in interface `ITransformable`

    - #### shearYZ

          IVecI shearYZ(IVecI center,
                      IDoubleI syz,
                      IDoubleI szy)

      shear operation on YZ
      Specified by:
        `shearYZ` in interface `ITransformable`

    - #### shearZX

          IVecI shearZX(double szx,
                      double sxz)

      shear operation on ZX
      Specified by:
        `shearZX` in interface `ITransformable`

    - #### shearZX

          IVecI shearZX(IDoubleI szx,
                      IDoubleI sxz)

      shear operation on ZX
      Specified by:
        `shearZX` in interface `ITransformable`

    - #### shearZX

          IVecI shearZX(IVecI center,
                      double szx,
                      double sxz)

      shear operation on ZX
      Specified by:
        `shearZX` in interface `ITransformable`

    - #### shearZX

          IVecI shearZX(IVecI center,
                      IDoubleI szx,
                      IDoubleI sxz)

      shear operation on ZX
      Specified by:
        `shearZX` in interface `ITransformable`

    - #### translate

          IVecI translate(double x,
                        double y,
                        double z)

      alias of add()
      Specified by:
        `translate` in interface `ITransformable`

    - #### translate

          IVecI translate(IDoubleI x,
                        IDoubleI y,
                        IDoubleI z)

      alias of add()
      Specified by:
        `translate` in interface `ITransformable`

    - #### translate

          IVecI translate(IVecI v)

      alias of add()
      Specified by:
        `translate` in interface `ITransformable`

    - #### transform

          IVecI transform(IMatrix3I mat)

      transform with a transformation matrix
      Specified by:
        `transform` in interface `ITransformable`

    - #### transform

          IVecI transform(IMatrix4I mat)

      transform with a transformation matrix
      Specified by:
        `transform` in interface `ITransformable`

    - #### transform

          IVecI transform(IVecI xvec,
                        IVecI yvec,
                        IVecI zvec)

      transform with a transformation vectors
      Specified by:
        `transform` in interface `ITransformable`

    - #### transform

          IVecI transform(IVecI xvec,
                        IVecI yvec,
                        IVecI zvec,
                        IVecI translate)

      transform with a transformation vectors
      Specified by:
        `transform` in interface `ITransformable`

    - #### mv

          IVecI mv(double x,
                 double y,
                 double z)

      mv() is alias of add()
      Specified by:
        `mv` in interface `ITransformable`

    - #### mv

          IVecI mv(IDoubleI x,
                 IDoubleI y,
                 IDoubleI z)

      mv() is alias of add()
      Specified by:
        `mv` in interface `ITransformable`

    - #### mv

          IVecI mv(IVecI v)

      mv() is alias of add()
      Specified by:
        `mv` in interface `ITransformable`

    - #### cp

          IVecI cp()

      cp() is alias of dup()
      Specified by:
        `cp` in interface `IArithmeticVal<IVecI,IDoubleI>`
      Specified by:
        `cp` in interface `ITransformable`

    - #### cp

          IVecI cp(double x,
                 double y,
                 double z)

      cp() is alias of dup().add()
      Specified by:
        `cp` in interface `ITransformable`

    - #### cp

          IVecI cp(IDoubleI x,
                 IDoubleI y,
                 IDoubleI z)

      cp() is alias of dup().add()
      Specified by:
        `cp` in interface `ITransformable`

    - #### cp

          IVecI cp(IVecI v)

      cp() is alias of dup().add()
      Specified by:
        `cp` in interface `ITransformable`

    - #### dif

          IVecI dif(IVecI v)

      create a new instance of difference

    - #### dif

          IVecI dif(double vx,
                  double vy,
                  double vz)

      create a new instance of difference

    - #### diff

          IVecI diff(IVecI v)

      alias of dif

    - #### diff

          IVecI diff(double vx,
                   double vy,
                   double vz)

      alias of dif

    - #### mid

          IVecI mid(IVecI v)

      create a new instance of midpoint

    - #### mid

          IVecI mid(double vx,
                  double vy,
                  double vz)

      create a new instance of midpoint

    - #### sum

          IVecI sum(IVecI v)

      create a new instance of total summation

    - #### sum

          IVecI sum(double vx,
                  double vy,
                  double vz)

      create a new instance of total summation

    - #### sum

          IVecI sum(IVecI... v)

      create a new instance of total summation

    - #### bisect

          IVecI bisect(IVecI v)

      create a new instance of bisector

    - #### bisect

          IVecI bisect(double vx,
                     double vy,
                     double vz)

      create a new instance of bisector

    - #### sum

          IVecI sum(IVecI v2,
                  double w1,
                  double w2)

      create a new instance of weighted sum

    - #### sum

          IVecI sum(IVecI v2,
                  double w2)

      create a new instance of weighted sum

    - #### sum

          IVecI sum(IVecI v2,
                  IDoubleI w1,
                  IDoubleI w2)

      create a new instance of weighted sum

    - #### sum

          IVecI sum(IVecI v2,
                  IDoubleI w2)

      create a new instance of weighted sum

    - #### nml

          IVecI nml(IVecI v)

      alias of cross

    - #### nml

          IVecI nml(double vx,
                  double vy,
                  double vz)

      alias of cross

    - #### nml

          IVecI nml(IVecI pt1,
                  IVecI pt2)

      create normal vector from 3 points of self, pt1 and pt2

    - #### nml

          IVecI nml(double vx1,
                  double vy1,
                  double vz1,
                  double vx2,
                  double vy2,
                  double vz2)

      create normal vector from 3 points of self, pt1 and pt2

    - #### isValid

          boolean isValid()

      check if the content of vector is valid; no NaN value