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## igeo
Class IVecR

    java.lang.Object
      igeo.IParameterObject
          igeo.IVecR

All Implemented Interfaces:
  IParameter, IReferenceParameter, ISubobject, ITransformable, IVal, IVecI, IVecOp

    public class IVecR

extends IParameterObject
implements IVecI, IReferenceParameter

Reference class of 3 dimensional vector to be used as IParameterObject.

Author:
  Satoru Sugihara

Nested Class Summary
`static class` | `IVecR.Add`
`static class` | `IVecR.Angle`
`static class` | `IVecR.Cross`
`static class` | `IVecR.Dist`
`static class` | `IVecR.Dist2`
`static class` | `IVecR.Div`
`static class` | `IVecR.Dot`
`static class` | `IVecR.Eq`
`static class` | `IVecR.EqX`
`static class` | `IVecR.EqY`
`static class` | `IVecR.EqZ`
`static class` | `IVecR.FromX`
`static class` | `IVecR.FromXYZ`
`static class` | `IVecR.FromY`
`static class` | `IVecR.FromZ`
`static class` | `IVecR.Len`
`static class` | `IVecR.Len2`
`static class` | `IVecR.Mul`
`static class` | `IVecR.Neg`
`static class` | `IVecR.Ref`
`static class` | `IVecR.Rot`
`static class` | `IVecR.Rot2`
`static class` | `IVecR.Scale1d`
`static class` | `IVecR.SetLen`
`static class` | `IVecR.Shear`
`static class` | `IVecR.Sub`
`static class` | `IVecR.ToVec2`
`static class` | `IVecR.Transform3`
`static class` | `IVecR.Transform4`
`static class` | `IVecR.TransformVec3`
`static class` | `IVecR.TransformVec4`
`static class` | `IVecR.Unit`
`static class` | `IVecR.X`
`static class` | `IVecR.Y`
`static class` | `IVecR.Z`

Field Summary
`protected IVecOp` | `op`

Fields inherited from class igeo.IParameterObject
`parent`

Constructor Summary
`IVecR(double x, double y, double z)`
`IVecR(IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecR(IServerI s, double x, double y, double z)`
`IVecR(IServerI s, IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecR(IServerI s, IVecOp v)`
`IVecR(IVecOp v)`

Method Summary
`IVecR` | `add(double x, double y, double z)`
`IVecR` | `add(double f, IVecI v)` scale add alias
`IVecR` | `add(IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecR` | `add(IDoubleI f, IVecI v)` scale add alias
`IVecR` | `add(IVecI u)`
`IVecR` | `add(IVecI v, double f)` scale add
`IVecR` | `add(IVecI v, IDoubleI f)` scale add
`double` | `angle(double ux, double uy, double uz)` get angle between two vector from 0 to Pi
`double` | `angle(double ux, double uy, double uz, double axisX, double axisY, double axisZ)`
`double` | `angle(ISwitchE e, IVecI u)` get angle between two vector from 0 to Pi
`double` | `angle(ISwitchE e, IVecI u, IVecI axis)`
`IDoubleR` | `angle(ISwitchR r, IVecI u)` get angle between two vector from 0 to Pi
`IDoubleR` | `angle(ISwitchR r, IVecI u, IVecI axis)`
`double` | `angle(IVecI u)` get angle between two vector from 0 to Pi
`double` | `angle(IVecI u, IVecI axis)`
`IVecR` | `bisect(double vx, double vy, double vz)` create a new instance of bisector
`IVecR` | `bisect(IVecI v)` create a new instance of bisector
`IVecR` | `cp()` cp() is alias of dup()
`IVecR` | `cp(double x, double y, double z)` cp() is alias of dup().add()
`IVecR` | `cp(IDoubleI x, IDoubleI y, IDoubleI z)` cp() is alias of dup().add()
`IVecR` | `cp(IVecI v)` cp() is alias of dup().add()
`IVecR` | `cross(double ux, double uy, double uz)` cross product, creating a new instance
`IVecR` | `cross(IVecI u)` cross is creating a new instance (2011/08/03)
`IVecR` | `dif(double vx, double vy, double vz)` create a new instance of difference
`IVecR` | `dif(IVecI v)` methods creating new instance
`IVecR` | `diff(double vx, double vy, double vz)` alias of dif
`IVecR` | `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
`IDoubleR` | `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
`IDoubleR` | `dist2(ISwitchR r, IVecI v)` squared distance of two vectors
`double` | `dist2(IVecI v)` squared distance of two vectors
`IVecR` | `div(double u)`
`IVecR` | `div(IDoubleI u)`
`double` | `dot(double ux, double uy, double uz)` dot product
`double` | `dot(ISwitchE e, IVecI u)` dot product
`IDoubleR` | `dot(ISwitchR r, IVecI u)` dot product
`double` | `dot(IVecI u)` dot product
`IVecR` | `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
`IBoolR` | `eq(ISwitchR r, IVecI v)` check whether location is same or not
`IBoolR` | `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
`IBoolR` | `eqX(ISwitchR r, IVecI v)` check if same in X
`IBoolR` | `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
`IBoolR` | `eqY(ISwitchR r, IVecI v)` check if same in Y
`IBoolR` | `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
`IBoolR` | `eqZ(ISwitchR r, IVecI v)` check if same in Z
`IBoolR` | `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
`IVecR` | `flip()` alias of neg()
`IVec` | `get()`
`IDoubleR` | `getX()`
`IDoubleR` | `getY()`
`IDoubleR` | `getZ()`
`boolean` | `isValid()` checking x, y, and z is valid number (not Infinite, nor NaN).
`double` | `len()` getting length of the vector
`IVecR` | `len(double l)` setting length
`IVecR` | `len(IDoubleI l)` setting length
`double` | `len(ISwitchE e)` getting length of the vector
`IDoubleR` | `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
`IDoubleR` | `len2(ISwitchR r)` getting squared length of the vector
`IVecR` | `mid(double vx, double vy, double vz)` create a new instance of midpoint
`IVecR` | `mid(IVecI v)` create a new instance of midpoint
`IVecR` | `mirror(double planeX, double planeY, double planeZ)` alias of ref
`IVecR` | `mirror(double centerX, double centerY, double centerZ, double planeX, double planeY, double planeZ)` alias of ref
`IVecR` | `mirror(IVecI planeDir)` mirror is alias of ref
`IVecR` | `mirror(IVecI center, IVecI planeDir)` alias of ref
`IVecR` | `mul(double u)`
`IVecR` | `mul(IDoubleI u)`
`IVecR` | `mv(double x, double y, double z)` mv() is alias of add()
`IVecR` | `mv(IDoubleI x, IDoubleI y, IDoubleI z)` mv() is alias of add()
`IVecR` | `mv(IVecI v)` mv() is alias of add()
`IVecR` | `neg()`
`IVecR` | `nml(double vx, double vy, double vz)` alias of cross.
`IVecR` | `nml(double vx1, double vy1, double vz1, double vx2, double vy2, double vz2)` create normal vector from 3 points of self, pt1 and pt2, not unitized
`IVecR` | `nml(IVecI v)` alias of cross.
`IVecR` | `nml(IVecI pt1, IVecI pt2)` create normal vector from 3 points of self, pt1 and pt2, not unitized
`IVecOp` | `operator()`
`IVecR` | `ref(double planeX, double planeY, double planeZ)` reflect(mirror) 3 dimensionally to the other side of the plane
`IVecR` | `ref(double centerX, double centerY, double centerZ, double planeX, double planeY, double planeZ)` reflect(mirror) 3 dimensionally to the other side of the plane
`IVecR` | `ref(IVecI planeDir)` reflect (mirror) 3 dimensionally to the other side of the plane
`IVecR` | `ref(IVecI center, IVecI planeDir)` reflect(mirror) 3 dimensionally to the other side of the plane
`IVecR` | `rev()` alias of neg()
`IVecR` | `rot(double angle)` rotation on XY plane
`IVecR` | `rot(double axisX, double axisY, double axisZ, double angle)` rotation around axis vector
`IVecR` | `rot(double centerX, double centerY, double centerZ, double axisX, double axisY, double axisZ, double angle)` rotation around axis vector and center point
`IVecR` | `rot(IDoubleI angle)` rotation around z-axis and origin
`IVecR` | `rot(IVecI axis, double angle)` rotation around axis vector
`IVecR` | `rot(IVecI axis, IDoubleI angle)` rotation around axis vector
`IVecR` | `rot(IVecI axis, IVecI destDir)` rotate to destination direction vector
`IVecR` | `rot(IVecI center, IVecI axis, double angle)` rotation around axis vector and center point
`IVecR` | `rot(IVecI center, IVecI axis, IDoubleI angle)` rotation around axis vector and center
`IVecR` | `rot(IVecI center, IVecI axis, IVecI destPt)` rotate to destination point location
`IVecR` | `rot2(double angle)` rotation on xy-plane
`IVecR` | `rot2(double centerX, double centerY, double angle)` rotation on xy-plane
`IVecR` | `rot2(IDoubleI angle)` rotation on xy-plane
`IVecR` | `rot2(IVecI destDir)` rotation on xy-plane to destination direction vector
`IVecR` | `rot2(IVecI center, double angle)` rotation on xy-plane
`IVecR` | `rot2(IVecI center, IDoubleI angle)` rotation on xy-plane
`IVecR` | `rot2(IVecI center, IVecI destPt)` rotation on xy-plane to destination point location
`IVecR` | `scale(double f)` alias of mul
`IVecR` | `scale(double centerX, double centerY, double centerZ, double f)` scale from a center
`IVecR` | `scale(IDoubleI f)` alias of mul
`IVecR` | `scale(IVecI center, double f)` scale from a center
`IVecR` | `scale(IVecI center, IDoubleI f)` scale from a center
`IVecR` | `scale1d(double axisX, double axisY, double axisZ, double f)` scale only in 1 direction
`IVecR` | `scale1d(double centerX, double centerY, double centerZ, double axisX, double axisY, double axisZ, double f)` scale only in 1 direction from a center
`IVecR` | `scale1d(IVecI axis, double f)` scale only in 1 direction
`IVecR` | `scale1d(IVecI axis, IDoubleI f)` scale only in 1 direction
`IVecR` | `scale1d(IVecI center, IVecI axis, double f)` scale only in 1 direction from a center
`IVecR` | `scale1d(IVecI center, IVecI axis, IDoubleI f)` scale only in 1 direction from a center
`IVecR` | `set(double x, double y, double z)`
`IVecR` | `set(IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecR` | `set(IVecI u)`
`IVecR` | `shear(double sxy, double syx, double syz, double szy, double szx, double sxz)` shear operation
`IVecR` | `shear(IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)` shear operation
`IVecR` | `shear(IVecI center, double sxy, double syx, double syz, double szy, double szx, double sxz)` shear operation
`IVecR` | `shear(IVecI center, IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)` shear operation
`IVecR` | `shearXY(double sxy, double syx)` shear operation on XY
`IVecR` | `shearXY(IDoubleI sxy, IDoubleI syx)` shear operation on XY
`IVecR` | `shearXY(IVecI center, double sxy, double syx)` shear operation on XY
`IVecR` | `shearXY(IVecI center, IDoubleI sxy, IDoubleI syx)` shear operation on XY
`IVecR` | `shearYZ(double syz, double szy)` shear operation on YZ
`IVecR` | `shearYZ(IDoubleI syz, IDoubleI szy)` shear operation on YZ
`IVecR` | `shearYZ(IVecI center, double syz, double szy)` shear operation on YZ
`IVecR` | `shearYZ(IVecI center, IDoubleI syz, IDoubleI szy)` shear operation on YZ
`IVecR` | `shearZX(double szx, double sxz)` shear operation on ZX
`IVecR` | `shearZX(IDoubleI szx, IDoubleI sxz)` shear operation on ZX
`IVecR` | `shearZX(IVecI center, double szx, double sxz)` shear operation on ZX
`IVecR` | `shearZX(IVecI center, IDoubleI szx, IDoubleI sxz)` shear operation on ZX
`IVecR` | `sub(double x, double y, double z)`
`IVecR` | `sub(IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecR` | `sub(IVecI u)`
`IVecR` | `sum(double vx, double vy, double vz)` create a new instance of total summation
`IVecR` | `sum(IVecI... v)` create a new instance of total summation
`IVecR` | `sum(IVecI v)` create a new instance of total summation
`IVecR` | `sum(IVecI v2, double w2)` create a new instance of weighted sum
`IVecR` | `sum(IVecI v2, double w1, double w2)` create a new instance of weighted sum
`IVecR` | `sum(IVecI v2, IDoubleI w2)` create a new instance of weighted sum
`IVecR` | `sum(IVecI v2, IDoubleI w1, IDoubleI w2)` weighted sum, creating a new instance
`IVec2R` | `to2d()`
`IVec4R` | `to4d()`
`IVec4R` | `to4d(double w)`
`IVec4R` | `to4d(IDoubleI w)`
`IVecR` | `transform(IMatrix3I mat)` transform with matrix
`IVecR` | `transform(IMatrix4I mat)` transform with a transformation matrix
`IVecR` | `transform(IVecI xvec, IVecI yvec, IVecI zvec)` transform with a transformation vectors
`IVecR` | `transform(IVecI xvec, IVecI yvec, IVecI zvec, IVecI translate)` transform with a transformation vectors
`IVecR` | `translate(double x, double y, double z)` translate is alias of add()
`IVecR` | `translate(IDoubleI x, IDoubleI y, IDoubleI z)` alias of add()
`IVecR` | `translate(IVecI v)` alias of add()
`IVecR` | `unit()` unitize
`double` | `x()` getting x component
`IVecR` | `x(double vx)` setting x component
`IVecR` | `x(IDoubleI vx)` setting x component
`double` | `x(ISwitchE e)` getting x component
`IDoubleR` | `x(ISwitchR r)` getting x component
`double` | `y()` getting y component
`IVecR` | `y(double vy)` setting y component
`IVecR` | `y(IDoubleI vy)` setting y component
`double` | `y(ISwitchE e)` getting y component
`IDoubleR` | `y(ISwitchR r)` getting y component
`double` | `z()` getting z component
`IVecR` | `z(double vz)` setting z component
`IVecR` | `z(IDoubleI vz)` setting z component
`double` | `z(ISwitchE e)` getting z component
`IDoubleR` | `z(ISwitchR r)` getting z component
`IVecR` | `zero()` setting all zero

Methods inherited from class igeo.IParameterObject
`createObject, parent, parent`

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

### op

    protected IVecOp op

Constructor Detail

### IVecR

    public IVecR(double x,
                 double y,
                 double z)

### IVecR

    public IVecR(IVecOp v)

### IVecR

    public IVecR(IDoubleI x,
                 IDoubleI y,
                 IDoubleI z)

### IVecR

    public IVecR(IServerI s,
                 double x,
                 double y,
                 double z)

### IVecR

    public IVecR(IServerI s,
                 IVecOp v)

### IVecR

    public IVecR(IServerI s,
                 IDoubleI x,
                 IDoubleI y,
                 IDoubleI z)

Method Detail

### x

    public double x()

  getting x component

  Specified by:
    `x` in interface `IVecI`

### y

    public double y()

  getting y component

  Specified by:
    `y` in interface `IVecI`

### z

    public double z()

  getting z component

  Specified by:
    `z` in interface `IVecI`

### x

    public IVecR x(double vx)

  setting x component

  Specified by:
    `x` in interface `IVecI`

### y

    public IVecR y(double vy)

  setting y component

  Specified by:
    `y` in interface `IVecI`

### z

    public IVecR z(double vz)

  setting z component

  Specified by:
    `z` in interface `IVecI`

### x

    public IVecR x(IDoubleI vx)

  setting x component

  Specified by:
    `x` in interface `IVecI`

### y

    public IVecR y(IDoubleI vy)

  setting y component

  Specified by:
    `y` in interface `IVecI`

### z

    public IVecR z(IDoubleI vz)

  setting z component

  Specified by:
    `z` in interface `IVecI`

### x

    public double x(ISwitchE e)

  getting x component

  Specified by:
    `x` in interface `IVecI`

### y

    public double y(ISwitchE e)

  getting y component

  Specified by:
    `y` in interface `IVecI`

### z

    public double z(ISwitchE e)

  getting z component

  Specified by:
    `z` in interface `IVecI`

### x

    public IDoubleR x(ISwitchR r)

  getting x component

  Specified by:
    `x` in interface `IVecI`

### y

    public IDoubleR y(ISwitchR r)

  getting y component

  Specified by:
    `y` in interface `IVecI`

### z

    public IDoubleR z(ISwitchR r)

  getting z component

  Specified by:
    `z` in interface `IVecI`

### get

    public IVec get()

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

### dup

    public IVecR dup()

  Description copied from interface: `ITransformable`
  duplicate the instance

  Specified by:
    `dup` in interface `ITransformable`
  Specified by:
    `dup` in interface `IVecI`

### to2d

    public IVec2R to2d()

  Specified by:
    `to2d` in interface `IVecI`

### to4d

    public IVec4R to4d()

  Specified by:
    `to4d` in interface `IVecI`

### to4d

    public IVec4R to4d(double w)

  Specified by:
    `to4d` in interface `IVecI`

### to4d

    public IVec4R to4d(IDoubleI w)

  Specified by:
    `to4d` in interface `IVecI`

### getX

    public IDoubleR getX()

  Specified by:
    `getX` in interface `IVecI`

### getY

    public IDoubleR getY()

  Specified by:
    `getY` in interface `IVecI`

### getZ

    public IDoubleR getZ()

  Specified by:
    `getZ` in interface `IVecI`

### operator

    public IVecOp operator()

  Specified by:
    `operator` in interface `IReferenceParameter`

### set

    public IVecR set(IVecI u)

  Specified by:
    `set` in interface `IVecI`

### set

    public IVecR set(double x,
                     double y,
                     double z)

  Specified by:
    `set` in interface `IVecI`

### set

    public IVecR set(IDoubleI x,
                     IDoubleI y,
                     IDoubleI z)

  Specified by:
    `set` in interface `IVecI`

### add

    public IVecR add(double x,
                     double y,
                     double z)

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

### add

    public IVecR add(IDoubleI x,
                     IDoubleI y,
                     IDoubleI z)

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

### add

    public IVecR add(IVecI u)

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

### sub

    public IVecR sub(double x,
                     double y,
                     double z)

  Specified by:
    `sub` in interface `ITransformable`
  Specified by:
    `sub` in interface `IVecI`

### sub

    public IVecR sub(IDoubleI x,
                     IDoubleI y,
                     IDoubleI z)

  Specified by:
    `sub` in interface `ITransformable`
  Specified by:
    `sub` in interface `IVecI`

### sub

    public IVecR sub(IVecI u)

  Specified by:
    `sub` in interface `ITransformable`
  Specified by:
    `sub` in interface `IVecI`

### mul

    public IVecR mul(IDoubleI u)

  Specified by:
    `mul` in interface `ITransformable`
  Specified by:
    `mul` in interface `IVecI`

### mul

    public IVecR mul(double u)

  Specified by:
    `mul` in interface `ITransformable`
  Specified by:
    `mul` in interface `IVecI`

### div

    public IVecR div(IDoubleI u)

  Specified by:
    `div` in interface `ITransformable`
  Specified by:
    `div` in interface `IVecI`

### div

    public IVecR div(double u)

  Specified by:
    `div` in interface `ITransformable`
  Specified by:
    `div` in interface `IVecI`

### neg

    public IVecR neg()

  Specified by:
    `neg` in interface `ITransformable`
  Specified by:
    `neg` in interface `IVecI`

### rev

    public IVecR rev()

  alias of neg()

  Specified by:
    `rev` in interface `IVecI`

### flip

    public IVecR flip()

  alias of neg()

  Specified by:
    `flip` in interface `ITransformable`
  Specified by:
    `flip` in interface `IVecI`

### zero

    public IVecR zero()

  setting all zero

  Specified by:
    `zero` in interface `IVecI`

### add

    public IVecR add(IVecI v,
                     double f)

  scale add

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

### add

    public IVecR add(IVecI v,
                     IDoubleI f)

  Description copied from interface: `ITransformable`
  scale add

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

### add

    public IVecR add(double f,
                     IVecI v)

  scale add alias

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

### add

    public IVecR add(IDoubleI f,
                     IVecI v)

  Description copied from interface: `ITransformable`
  scale add alias

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

### dot

    public double dot(IVecI u)

  Description copied from interface: `IVecI`
  dot product

  Specified by:
    `dot` in interface `IVecI`

### dot

    public double dot(double ux,
                      double uy,
                      double uz)

  Description copied from interface: `IVecI`
  dot product

  Specified by:
    `dot` in interface `IVecI`

### dot

    public double dot(ISwitchE e,
                      IVecI u)

  Description copied from interface: `IVecI`
  dot product

  Specified by:
    `dot` in interface `IVecI`

### dot

    public IDoubleR dot(ISwitchR r,
                        IVecI u)

  Description copied from interface: `IVecI`
  dot product

  Specified by:
    `dot` in interface `IVecI`

### cross

    public IVecR cross(IVecI u)

  cross is creating a new instance (2011/08/03)

  Specified by:
    `cross` in interface `IVecI`

### cross

    public IVecR cross(double ux,
                       double uy,
                       double uz)

  Description copied from interface: `IVecI`
  cross product, creating a new instance

  Specified by:
    `cross` in interface `IVecI`

### len

    public double len()

  Description copied from interface: `IVecI`
  getting length of the vector

  Specified by:
    `len` in interface `IVecI`

### len

    public double len(ISwitchE e)

  Description copied from interface: `IVecI`
  getting length of the vector

  Specified by:
    `len` in interface `IVecI`

### len

    public IDoubleR len(ISwitchR r)

  Description copied from interface: `IVecI`
  getting length of the vector

  Specified by:
    `len` in interface `IVecI`

### len2

    public double len2()

  Description copied from interface: `IVecI`
  getting squared length of the vector

  Specified by:
    `len2` in interface `IVecI`

### len2

    public double len2(ISwitchE e)

  Description copied from interface: `IVecI`
  getting squared length of the vector

  Specified by:
    `len2` in interface `IVecI`

### len2

    public IDoubleR len2(ISwitchR r)

  Description copied from interface: `IVecI`
  getting squared length of the vector

  Specified by:
    `len2` in interface `IVecI`

### len

    public IVecR len(IDoubleI l)

  Description copied from interface: `IVecI`
  setting length

  Specified by:
    `len` in interface `IVecI`

### len

    public IVecR len(double l)

  Description copied from interface: `IVecI`
  setting length

  Specified by:
    `len` in interface `IVecI`

### unit

    public IVecR unit()

  Description copied from interface: `IVecI`
  unitize

  Specified by:
    `unit` in interface `IVecI`

### dist

    public double dist(IVecI v)

  Description copied from interface: `IVecI`
  distance of two vectors

  Specified by:
    `dist` in interface `IVecI`

### dist

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

  Description copied from interface: `IVecI`
  distance of two vectors

  Specified by:
    `dist` in interface `IVecI`

### dist

    public double dist(ISwitchE e,
                       IVecI v)

  Description copied from interface: `IVecI`
  distance of two vectors

  Specified by:
    `dist` in interface `IVecI`

### dist

    public IDoubleR dist(ISwitchR r,
                         IVecI v)

  Description copied from interface: `IVecI`
  distance of two vectors

  Specified by:
    `dist` in interface `IVecI`

### dist2

    public double dist2(IVecI v)

  Description copied from interface: `IVecI`
  squared distance of two vectors

  Specified by:
    `dist2` in interface `IVecI`

### dist2

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

  Description copied from interface: `IVecI`
  squared distance of two vectors

  Specified by:
    `dist2` in interface `IVecI`

### dist2

    public double dist2(ISwitchE e,
                        IVecI v)

  Description copied from interface: `IVecI`
  squared distance of two vectors

  Specified by:
    `dist2` in interface `IVecI`

### dist2

    public IDoubleR dist2(ISwitchR r,
                          IVecI v)

  Description copied from interface: `IVecI`
  squared distance of two vectors

  Specified by:
    `dist2` in interface `IVecI`

### eq

    public boolean eq(IVecI v)

  Description copied from interface: `IVecI`
  check whether location is same or not

  Specified by:
    `eq` in interface `IVecI`

### eq

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

  Description copied from interface: `IVecI`
  check whether location is same or not

  Specified by:
    `eq` in interface `IVecI`

### eq

    public boolean eq(ISwitchE e,
                      IVecI v)

  Description copied from interface: `IVecI`
  check whether location is same or not

  Specified by:
    `eq` in interface `IVecI`

### eq

    public IBoolR eq(ISwitchR r,
                     IVecI v)

  Description copied from interface: `IVecI`
  check whether location is same or not

  Specified by:
    `eq` in interface `IVecI`

### eq

    public boolean eq(IVecI v,
                      double tolerance)

  Description copied from interface: `IVecI`
  check whether location is same or not with tolerance

  Specified by:
    `eq` in interface `IVecI`

### eq

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

  Description copied from interface: `IVecI`
  check whether location is same or not with tolerance

  Specified by:
    `eq` in interface `IVecI`

### eq

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

  Description copied from interface: `IVecI`
  check whether location is same or not with tolerance

  Specified by:
    `eq` in interface `IVecI`

### eq

    public IBoolR eq(ISwitchR r,
                     IVecI v,
                     IDoubleI tolerance)

  Description copied from interface: `IVecI`
  check whether location is same or not with tolerance

  Specified by:
    `eq` in interface `IVecI`

### eqX

    public boolean eqX(IVecI v)

  Description copied from interface: `IVecI`
  check if same in X

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public boolean eqY(IVecI v)

  Description copied from interface: `IVecI`
  check if same in Y

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public boolean eqZ(IVecI v)

  Description copied from interface: `IVecI`
  check if same in Z

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public boolean eqX(double vx)

  Description copied from interface: `IVecI`
  check if same in X

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public boolean eqY(double vy)

  Description copied from interface: `IVecI`
  check if same in Y

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public boolean eqZ(double vz)

  Description copied from interface: `IVecI`
  check if same in Z

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public boolean eqX(ISwitchE e,
                       IVecI v)

  Description copied from interface: `IVecI`
  check if same in X

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public boolean eqY(ISwitchE e,
                       IVecI v)

  Description copied from interface: `IVecI`
  check if same in Y

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public boolean eqZ(ISwitchE e,
                       IVecI v)

  Description copied from interface: `IVecI`
  check if same in Z

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public IBoolR eqX(ISwitchR r,
                      IVecI v)

  Description copied from interface: `IVecI`
  check if same in X

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public IBoolR eqY(ISwitchR r,
                      IVecI v)

  Description copied from interface: `IVecI`
  check if same in Y

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public IBoolR eqZ(ISwitchR r,
                      IVecI v)

  Description copied from interface: `IVecI`
  check if same in Z

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public boolean eqX(IVecI v,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in X with tolerance

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public boolean eqY(IVecI v,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in Y with tolerance

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public boolean eqZ(IVecI v,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in Z with tolerance

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public boolean eqX(double vx,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in X with tolerance

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public boolean eqY(double vy,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in Y with tolerance

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public boolean eqZ(double vz,
                       double tolerance)

  Description copied from interface: `IVecI`
  check if same in Z with tolerance

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

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

  Description copied from interface: `IVecI`
  check if same in X with tolerance

  Specified by:
    `eqX` in interface `IVecI`

### eqY

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

  Description copied from interface: `IVecI`
  check if same in Y with tolerance

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

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

  Description copied from interface: `IVecI`
  check if same in Z with tolerance

  Specified by:
    `eqZ` in interface `IVecI`

### eqX

    public IBoolR eqX(ISwitchR r,
                      IVecI v,
                      IDoubleI tolerance)

  Description copied from interface: `IVecI`
  check if same in X with tolerance

  Specified by:
    `eqX` in interface `IVecI`

### eqY

    public IBoolR eqY(ISwitchR r,
                      IVecI v,
                      IDoubleI tolerance)

  Description copied from interface: `IVecI`
  check if same in Y with tolerance

  Specified by:
    `eqY` in interface `IVecI`

### eqZ

    public IBoolR eqZ(ISwitchR r,
                      IVecI v,
                      IDoubleI tolerance)

  Description copied from interface: `IVecI`
  check if same in Z with tolerance

  Specified by:
    `eqZ` in interface `IVecI`

### angle

    public double angle(IVecI u)

  Description copied from interface: `IVecI`
  get angle between two vector from 0 to Pi

  Specified by:
    `angle` in interface `IVecI`
  Returns:
    angle between two vector from 0 to Pi

### angle

    public double angle(double ux,
                        double uy,
                        double uz)

  Description copied from interface: `IVecI`
  get angle between two vector from 0 to Pi

  Specified by:
    `angle` in interface `IVecI`

### angle

    public double angle(ISwitchE e,
                        IVecI u)

  Description copied from interface: `IVecI`
  get angle between two vector from 0 to Pi

  Specified by:
    `angle` in interface `IVecI`

### angle

    public IDoubleR angle(ISwitchR r,
                          IVecI u)

  Description copied from interface: `IVecI`
  get angle between two vector from 0 to Pi

  Specified by:
    `angle` in interface `IVecI`

### angle

    public double angle(IVecI u,
                        IVecI axis)

  Specified by:
    `angle` in interface `IVecI`
  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

    public double angle(double ux,
                        double uy,
                        double uz,
                        double axisX,
                        double axisY,
                        double axisZ)

  Specified by:
    `angle` in interface `IVecI`
  Returns:
    angle between two vector from -Pi to Pi. Sign follows right-handed screw rule along axis

### angle

    public double angle(ISwitchE e,
                        IVecI u,
                        IVecI axis)

  Specified by:
    `angle` in interface `IVecI`
    `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

    public IDoubleR angle(ISwitchR r,
                          IVecI u,
                          IVecI axis)

  Specified by:
    `angle` in interface `IVecI`
    `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

    public IVecR rot(IDoubleI angle)

  Description copied from interface: `ITransformable`
  rotation around z-axis and origin

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

    public IVecR rot(double angle)

  Description copied from interface: `IVecI`
  rotation on XY plane

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

    public IVecR rot(IVecI axis,
                     IDoubleI angle)

  Description copied from interface: `ITransformable`
  rotation around axis vector

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

    public IVecR rot(IVecI axis,
                     double angle)

  Description copied from interface: `IVecI`
  rotation around axis vector

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

    public IVecR rot(double axisX,
                     double axisY,
                     double axisZ,
                     double angle)

  Description copied from interface: `IVecI`
  rotation around axis vector

  Specified by:
    `rot` in interface `IVecI`

### rot

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

  Description copied from interface: `ITransformable`
  rotation around axis vector and center

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

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

  Description copied from interface: `IVecI`
  rotation around axis vector and center point

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

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

  Description copied from interface: `IVecI`
  rotation around axis vector and center point

  Specified by:
    `rot` in interface `IVecI`

### rot

    public IVecR rot(IVecI axis,
                     IVecI destDir)

  rotate to destination direction vector

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot

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

  rotate to destination point location

  Specified by:
    `rot` in interface `ITransformable`
  Specified by:
    `rot` in interface `IVecI`

### rot2

    public IVecR rot2(IDoubleI angle)

  rotation on xy-plane

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(double angle)

  rotation on xy-plane

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(IVecI center,
                      IDoubleI angle)

  rotation on xy-plane

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(IVecI center,
                      double angle)

  rotation on xy-plane

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(double centerX,
                      double centerY,
                      double angle)

  rotation on xy-plane

  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(IVecI destDir)

  rotation on xy-plane to destination direction vector

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### rot2

    public IVecR rot2(IVecI center,
                      IVecI destPt)

  rotation on xy-plane to destination point location

  Specified by:
    `rot2` in interface `ITransformable`
  Specified by:
    `rot2` in interface `IVecI`

### scale

    public IVecR scale(IDoubleI f)

  alias of mul

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

### scale

    public IVecR scale(double f)

  Description copied from interface: `IVecI`
  alias of mul

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

### scale

    public IVecR scale(IVecI center,
                       IDoubleI f)

  Description copied from interface: `IVecI`
  scale from a center

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

### scale

    public IVecR scale(IVecI center,
                       double f)

  Description copied from interface: `IVecI`
  scale from a center

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

### scale

    public IVecR scale(double centerX,
                       double centerY,
                       double centerZ,
                       double f)

  Description copied from interface: `IVecI`
  scale from a center

  Specified by:
    `scale` in interface `IVecI`

### scale1d

    public IVecR scale1d(IVecI axis,
                         double f)

  scale only in 1 direction

  Specified by:
    `scale1d` in interface `ITransformable`
  Specified by:
    `scale1d` in interface `IVecI`

### scale1d

    public IVecR scale1d(double axisX,
                         double axisY,
                         double axisZ,
                         double f)

  Description copied from interface: `IVecI`
  scale only in 1 direction

  Specified by:
    `scale1d` in interface `IVecI`

### scale1d

    public IVecR scale1d(IVecI axis,
                         IDoubleI f)

  Description copied from interface: `IVecI`
  scale only in 1 direction

  Specified by:
    `scale1d` in interface `ITransformable`
  Specified by:
    `scale1d` in interface `IVecI`

### scale1d

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

  Description copied from interface: `IVecI`
  scale only in 1 direction from a center

  Specified by:
    `scale1d` in interface `ITransformable`
  Specified by:
    `scale1d` in interface `IVecI`

### scale1d

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

  Description copied from interface: `IVecI`
  scale only in 1 direction from a center

  Specified by:
    `scale1d` in interface `IVecI`

### scale1d

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

  Description copied from interface: `IVecI`
  scale only in 1 direction from a center

  Specified by:
    `scale1d` in interface `ITransformable`
  Specified by:
    `scale1d` in interface `IVecI`

### ref

    public IVecR ref(IVecI planeDir)

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

  Specified by:
    `ref` in interface `ITransformable`
  Specified by:
    `ref` in interface `IVecI`

### ref

    public IVecR ref(double planeX,
                     double planeY,
                     double planeZ)

  Description copied from interface: `IVecI`
  reflect(mirror) 3 dimensionally to the other side of the plane

  Specified by:
    `ref` in interface `IVecI`

### ref

    public IVecR ref(IVecI center,
                     IVecI planeDir)

  Description copied from interface: `IVecI`
  reflect(mirror) 3 dimensionally to the other side of the plane

  Specified by:
    `ref` in interface `ITransformable`
  Specified by:
    `ref` in interface `IVecI`

### ref

    public IVecR ref(double centerX,
                     double centerY,
                     double centerZ,
                     double planeX,
                     double planeY,
                     double planeZ)

  Description copied from interface: `IVecI`
  reflect(mirror) 3 dimensionally to the other side of the plane

  Specified by:
    `ref` in interface `IVecI`

### mirror

    public IVecR mirror(IVecI planeDir)

  Description copied from interface: `ITransformable`
  mirror is alias of ref

  Specified by:
    `mirror` in interface `ITransformable`
  Specified by:
    `mirror` in interface `IVecI`

### mirror

    public IVecR mirror(double planeX,
                        double planeY,
                        double planeZ)

  Description copied from interface: `IVecI`
  alias of ref

  Specified by:
    `mirror` in interface `IVecI`

### mirror

    public IVecR mirror(IVecI center,
                        IVecI planeDir)

  Description copied from interface: `IVecI`
  alias of ref

  Specified by:
    `mirror` in interface `ITransformable`
  Specified by:
    `mirror` in interface `IVecI`

### mirror

    public IVecR mirror(double centerX,
                        double centerY,
                        double centerZ,
                        double planeX,
                        double planeY,
                        double planeZ)

  Description copied from interface: `IVecI`
  alias of ref

  Specified by:
    `mirror` in interface `IVecI`

### shear

    public IVecR shear(double sxy,
                       double syx,
                       double syz,
                       double szy,
                       double szx,
                       double sxz)

  shear operation

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

### shear

    public IVecR shear(IDoubleI sxy,
                       IDoubleI syx,
                       IDoubleI syz,
                       IDoubleI szy,
                       IDoubleI szx,
                       IDoubleI sxz)

  Description copied from interface: `IVecI`
  shear operation

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

### shear

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

  Description copied from interface: `IVecI`
  shear operation

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

### shear

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

  Description copied from interface: `IVecI`
  shear operation

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

### shearXY

    public IVecR shearXY(double sxy,
                         double syx)

  Description copied from interface: `IVecI`
  shear operation on XY

  Specified by:
    `shearXY` in interface `ITransformable`
  Specified by:
    `shearXY` in interface `IVecI`

### shearXY

    public IVecR shearXY(IDoubleI sxy,
                         IDoubleI syx)

  Description copied from interface: `IVecI`
  shear operation on XY

  Specified by:
    `shearXY` in interface `ITransformable`
  Specified by:
    `shearXY` in interface `IVecI`

### shearXY

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

  Description copied from interface: `IVecI`
  shear operation on XY

  Specified by:
    `shearXY` in interface `ITransformable`
  Specified by:
    `shearXY` in interface `IVecI`

### shearXY

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

  Description copied from interface: `IVecI`
  shear operation on XY

  Specified by:
    `shearXY` in interface `ITransformable`
  Specified by:
    `shearXY` in interface `IVecI`

### shearYZ

    public IVecR shearYZ(double syz,
                         double szy)

  Description copied from interface: `IVecI`
  shear operation on YZ

  Specified by:
    `shearYZ` in interface `ITransformable`
  Specified by:
    `shearYZ` in interface `IVecI`

### shearYZ

    public IVecR shearYZ(IDoubleI syz,
                         IDoubleI szy)

  Description copied from interface: `IVecI`
  shear operation on YZ

  Specified by:
    `shearYZ` in interface `ITransformable`
  Specified by:
    `shearYZ` in interface `IVecI`

### shearYZ

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

  Description copied from interface: `IVecI`
  shear operation on YZ

  Specified by:
    `shearYZ` in interface `ITransformable`
  Specified by:
    `shearYZ` in interface `IVecI`

### shearYZ

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

  Description copied from interface: `IVecI`
  shear operation on YZ

  Specified by:
    `shearYZ` in interface `ITransformable`
  Specified by:
    `shearYZ` in interface `IVecI`

### shearZX

    public IVecR shearZX(double szx,
                         double sxz)

  Description copied from interface: `IVecI`
  shear operation on ZX

  Specified by:
    `shearZX` in interface `ITransformable`
  Specified by:
    `shearZX` in interface `IVecI`

### shearZX

    public IVecR shearZX(IDoubleI szx,
                         IDoubleI sxz)

  Description copied from interface: `IVecI`
  shear operation on ZX

  Specified by:
    `shearZX` in interface `ITransformable`
  Specified by:
    `shearZX` in interface `IVecI`

### shearZX

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

  Description copied from interface: `IVecI`
  shear operation on ZX

  Specified by:
    `shearZX` in interface `ITransformable`
  Specified by:
    `shearZX` in interface `IVecI`

### shearZX

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

  Description copied from interface: `IVecI`
  shear operation on ZX

  Specified by:
    `shearZX` in interface `ITransformable`
  Specified by:
    `shearZX` in interface `IVecI`

### translate

    public IVecR translate(double x,
                           double y,
                           double z)

  translate is alias of add()

  Specified by:
    `translate` in interface `ITransformable`
  Specified by:
    `translate` in interface `IVecI`

### translate

    public IVecR translate(IDoubleI x,
                           IDoubleI y,
                           IDoubleI z)

  Description copied from interface: `IVecI`
  alias of add()

  Specified by:
    `translate` in interface `ITransformable`
  Specified by:
    `translate` in interface `IVecI`

### translate

    public IVecR translate(IVecI v)

  Description copied from interface: `IVecI`
  alias of add()

  Specified by:
    `translate` in interface `ITransformable`
  Specified by:
    `translate` in interface `IVecI`

### transform

    public IVecR transform(IMatrix3I mat)

  transform with matrix

  Specified by:
    `transform` in interface `ITransformable`
  Specified by:
    `transform` in interface `IVecI`

### transform

    public IVecR transform(IMatrix4I mat)

  Description copied from interface: `IVecI`
  transform with a transformation matrix

  Specified by:
    `transform` in interface `ITransformable`
  Specified by:
    `transform` in interface `IVecI`

### transform

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

  Description copied from interface: `IVecI`
  transform with a transformation vectors

  Specified by:
    `transform` in interface `ITransformable`
  Specified by:
    `transform` in interface `IVecI`

### transform

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

  Description copied from interface: `IVecI`
  transform with a transformation vectors

  Specified by:
    `transform` in interface `ITransformable`
  Specified by:
    `transform` in interface `IVecI`

### mv

    public IVecR mv(double x,
                    double y,
                    double z)

  mv() is alias of add()

  Specified by:
    `mv` in interface `ITransformable`
  Specified by:
    `mv` in interface `IVecI`

### mv

    public IVecR mv(IDoubleI x,
                    IDoubleI y,
                    IDoubleI z)

  Description copied from interface: `IVecI`
  mv() is alias of add()

  Specified by:
    `mv` in interface `ITransformable`
  Specified by:
    `mv` in interface `IVecI`

### mv

    public IVecR mv(IVecI v)

  Description copied from interface: `IVecI`
  mv() is alias of add()

  Specified by:
    `mv` in interface `ITransformable`
  Specified by:
    `mv` in interface `IVecI`

### cp

    public IVecR cp()

  cp() is alias of dup()

  Specified by:
    `cp` in interface `ITransformable`
  Specified by:
    `cp` in interface `IVecI`

### cp

    public IVecR cp(double x,
                    double y,
                    double z)

  cp() is alias of dup().add()

  Specified by:
    `cp` in interface `ITransformable`
  Specified by:
    `cp` in interface `IVecI`

### cp

    public IVecR cp(IDoubleI x,
                    IDoubleI y,
                    IDoubleI z)

  Description copied from interface: `IVecI`
  cp() is alias of dup().add()

  Specified by:
    `cp` in interface `ITransformable`
  Specified by:
    `cp` in interface `IVecI`

### cp

    public IVecR cp(IVecI v)

  Description copied from interface: `IVecI`
  cp() is alias of dup().add()

  Specified by:
    `cp` in interface `ITransformable`
  Specified by:
    `cp` in interface `IVecI`

### dif

    public IVecR dif(IVecI v)

  methods creating new instance

  Specified by:
    `dif` in interface `IVecI`

### dif

    public IVecR dif(double vx,
                     double vy,
                     double vz)

  Description copied from interface: `IVecI`
  create a new instance of difference

  Specified by:
    `dif` in interface `IVecI`

### diff

    public IVecR diff(IVecI v)

  Description copied from interface: `IVecI`
  alias of dif

  Specified by:
    `diff` in interface `IVecI`

### diff

    public IVecR diff(double vx,
                      double vy,
                      double vz)

  Description copied from interface: `IVecI`
  alias of dif

  Specified by:
    `diff` in interface `IVecI`

### mid

    public IVecR mid(IVecI v)

  Description copied from interface: `IVecI`
  create a new instance of midpoint

  Specified by:
    `mid` in interface `IVecI`

### mid

    public IVecR mid(double vx,
                     double vy,
                     double vz)

  Description copied from interface: `IVecI`
  create a new instance of midpoint

  Specified by:
    `mid` in interface `IVecI`

### sum

    public IVecR sum(IVecI v)

  Description copied from interface: `IVecI`
  create a new instance of total summation

  Specified by:
    `sum` in interface `IVecI`

### sum

    public IVecR sum(double vx,
                     double vy,
                     double vz)

  Description copied from interface: `IVecI`
  create a new instance of total summation

  Specified by:
    `sum` in interface `IVecI`

### sum

    public IVecR sum(IVecI... v)

  Description copied from interface: `IVecI`
  create a new instance of total summation

  Specified by:
    `sum` in interface `IVecI`

### bisect

    public IVecR bisect(IVecI v)

  Description copied from interface: `IVecI`
  create a new instance of bisector

  Specified by:
    `bisect` in interface `IVecI`

### bisect

    public IVecR bisect(double vx,
                        double vy,
                        double vz)

  Description copied from interface: `IVecI`
  create a new instance of bisector

  Specified by:
    `bisect` in interface `IVecI`

### sum

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

  weighted sum, creating a new instance

  Specified by:
    `sum` in interface `IVecI`

### sum

    public IVecR sum(IVecI v2,
                     IDoubleI w2)

  Description copied from interface: `IVecI`
  create a new instance of weighted sum

  Specified by:
    `sum` in interface `IVecI`

### sum

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

  Description copied from interface: `IVecI`
  create a new instance of weighted sum

  Specified by:
    `sum` in interface `IVecI`

### sum

    public IVecR sum(IVecI v2,
                     double w2)

  Description copied from interface: `IVecI`
  create a new instance of weighted sum

  Specified by:
    `sum` in interface `IVecI`

### nml

    public IVecR nml(IVecI v)

  alias of cross. (not unitized ...)

  Specified by:
    `nml` in interface `IVecI`

### nml

    public IVecR nml(double vx,
                     double vy,
                     double vz)

  alias of cross. (not unitized ...)

  Specified by:
    `nml` in interface `IVecI`

### nml

    public IVecR nml(IVecI pt1,
                     IVecI pt2)

  create normal vector from 3 points of self, pt1 and pt2, not unitized

  Specified by:
    `nml` in interface `IVecI`

### nml

    public IVecR nml(double vx1,
                     double vy1,
                     double vz1,
                     double vx2,
                     double vy2,
                     double vz2)

  create normal vector from 3 points of self, pt1 and pt2, not unitized

  Specified by:
    `nml` in interface `IVecI`

### isValid

    public boolean isValid()

  checking x, y, and z is valid number (not Infinite, nor NaN).

  Specified by:
    `isValid` in interface `IVecI`

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