ICurveI

All Superinterfaces:

ICurveOp, IParameter, ITransformable, IVal

All Known Subinterfaces:

ITrimCurveI

All Known Implementing Classes:

IArc, IArcGeo, ICircle, ICircleGeo, ICurve, ICurveGeo, ICurveR, IPolycurveGeo, ISpringLine, IStickLine, IStraightenerCurve, IStringLine, ITensionLine, ITensionLineOnCurve, ITrimCurve
```
public interface ICurveI
extends ICurveOp, ITransformable
```
Abstract interface of NURBS curve.

Author:

Satoru Sugihara

Method Summary

Methods
Modifier and Type	Method and Description
`ICurveI`	`add(double x, double y, double z)` transformation: API of ITransformable inteface
`ICurveI`	`add(IDoubleI x, IDoubleI y, IDoubleI z)`
`ICurveI`	`add(IVecI v)`
`ICurveI`	`add(IVecI v, double f)` scale add
`ICurveI`	`add(IVecI v, IDoubleI f)` scale add
`IVecI`	`center()` returns center of geometry object
`IVecI`	`closePt(IVec2I pt)` find approximately closest point on a curve on 2D
`IVecI`	`closePt(IVecI pt)` find approximately closest point on a curve
`ICurveI`	`cp()` cp() is alias of dup()
`ICurveI`	`cp(double x, double y, double z)` cp() is alias of dup().add()
`ICurveI`	`cp(IDoubleI x, IDoubleI y, IDoubleI z)`
`IVecI`	`cp(IIntegerI i)`
`IVecI`	`cp(int i)`
`ICurveI`	`cp(IVecI v)`
`int`	`cpNum()`
`int`	`cpNum(ISwitchE e)`
`IIntegerI`	`cpNum(ISwitchR r)`
`IVecI[]`	`cps()` all control points
`int`	`deg()`
`int`	`deg(ISwitchE e)`
`IIntegerI`	`deg(ISwitchR r)`
`double`	`dist(IVec2I pt)` distance to the closest point on a curve on 2D
`double`	`dist(IVecI pt)` distance to the closest point on a curve
`ICurveI`	`div(double v)`
`ICurveI`	`div(IDoubleI v)`
`ICurveI`	`dup()` duplicate the instance
`IVecI`	`end()`
`IVecI`	`endCP()`
`IVecI`	`ep(IIntegerI i)`
`IVecI`	`ep(int i)`
`int`	`epNum()`
`int`	`epNum(ISwitchE e)`
`IIntegerI`	`epNum(ISwitchR r)`
`ICurveI`	`flip()` same with neg
`ICurveI`	`flipU()` alias of rev()
`ICurveGeo`	`get()`
`boolean`	`isClosed()`
`boolean`	`isClosed(ISwitchE e)`
`IBoolI`	`isClosed(ISwitchR r)`
`boolean`	`isRational()`
`boolean`	`isRational(ISwitchE e)`
`IBoolI`	`isRational(ISwitchR r)`
`boolean`	`isValid()`
`IDoubleI`	`knot(IIntegerI i)`
`double`	`knot(int i)` close curve with the current control points.
`int`	`knotNum()`
`int`	`knotNum(ISwitchE e)`
`IIntegerI`	`knotNum(ISwitchR r)`
`double[]`	`knots()` all knot values
`double[]`	`knots(ISwitchE e)`
`IDoubleI[]`	`knots(ISwitchR r)`
`double`	`len()`
`double`	`len(ISwitchE e)`
`IDouble`	`len(ISwitchR r)`
`IVecI`	`mid()` parametrically mid point of a curve
`ICurveI`	`mirror(IVecI planeDir)` mirror is alias of ref
`ICurveI`	`mirror(IVecI center, IVecI planeDir)`
`ICurveI`	`mul(double v)`
`ICurveI`	`mul(IDoubleI v)`
`ICurveI`	`mv(double x, double y, double z)` mv() is alias of add()
`ICurveI`	`mv(IDoubleI x, IDoubleI y, IDoubleI z)`
`ICurveI`	`mv(IVecI v)`
`ICurveI`	`neg()`
`int`	`num()` change degree.
`int`	`num(ISwitchE e)`
`IIntegerI`	`num(ISwitchR r)`
`IVecI`	`pt(double u)`
`IVecI`	`pt(IDoubleI u)`
`ICurveI`	`ref(IVecI planeDir)` reflect(mirror) 3 dimensionally to the other side of the plane
`ICurveI`	`ref(IVecI center, IVecI planeDir)`
`ICurveI`	`rev()` reverse U coordintates direction of curve, without creating a new object
`ICurveI`	`revU()` alias of rev()
`ICurveI`	`rot(IVecI axis, double angle)`
`ICurveI`	`rot(IVecI axis, IDoubleI angle)` rotation around axis vector
`ICurveI`	`rot(IVecI axis, IVecI destDir)` rotate to destination direction vector
`ICurveI`	`rot(IVecI center, IVecI axis, double angle)`
`ICurveI`	`rot(IVecI center, IVecI axis, IDoubleI angle)` rotation around axis vector and center
`ICurveI`	`rot(IVecI center, IVecI axis, IVecI destPt)` rotate to destination point location
`ICurveI`	`scale(double f)`
`ICurveI`	`scale(IDoubleI f)` alias of mul
`ICurveI`	`scale(IVecI center, double f)`
`ICurveI`	`scale(IVecI center, IDoubleI f)`
`ICurveI`	`scale1d(IVecI axis, double f)` scale only in 1 direction
`ICurveI`	`scale1d(IVecI axis, IDoubleI f)`
`ICurveI`	`scale1d(IVecI center, IVecI axis, double f)`
`ICurveI`	`scale1d(IVecI center, IVecI axis, IDoubleI f)`
`ICurveI`	`shear(double sxy, double syx, double syz, double szy, double szx, double sxz)` shear operation
`ICurveI`	`shear(IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)`
`ICurveI`	`shear(IVecI center, double sxy, double syx, double syz, double szy, double szx, double sxz)`
`ICurveI`	`shear(IVecI center, IDoubleI sxy, IDoubleI syx, IDoubleI syz, IDoubleI szy, IDoubleI szx, IDoubleI sxz)`
`ICurveI`	`shearXY(double sxy, double syx)`
`ICurveI`	`shearXY(IDoubleI sxy, IDoubleI syx)`
`ICurveI`	`shearXY(IVecI center, double sxy, double syx)`
`ICurveI`	`shearXY(IVecI center, IDoubleI sxy, IDoubleI syx)`
`ICurveI`	`shearYZ(double syz, double szy)`
`ICurveI`	`shearYZ(IDoubleI syz, IDoubleI szy)`
`ICurveI`	`shearYZ(IVecI center, double syz, double szy)`
`ICurveI`	`shearYZ(IVecI center, IDoubleI syz, IDoubleI szy)`
`ICurveI`	`shearZX(double szx, double sxz)`
`ICurveI`	`shearZX(IDoubleI szx, IDoubleI sxz)`
`ICurveI`	`shearZX(IVecI center, double szx, double sxz)`
`ICurveI`	`shearZX(IVecI center, IDoubleI szx, IDoubleI sxz)`
`IVecI`	`start()`
`IVecI`	`startCP()`
`ICurveI`	`sub(double x, double y, double z)`
`ICurveI`	`sub(IDoubleI x, IDoubleI y, IDoubleI z)`
`ICurveI`	`sub(IVecI v)`
`IVecI`	`tan(double u)`
`IVecI`	`tan(IDoubleI u)`
`ICurveI`	`transform(IMatrix3I mat)`
`ICurveI`	`transform(IMatrix4I mat)`
`ICurveI`	`transform(IVecI xvec, IVecI yvec, IVecI zvec)`
`ICurveI`	`transform(IVecI xvec, IVecI yvec, IVecI zvec, IVecI translate)`
`ICurveI`	`translate(double x, double y, double z)` translate is alias of add()
`ICurveI`	`translate(IDoubleI x, IDoubleI y, IDoubleI z)`
`ICurveI`	`translate(IVecI v)`
`IDoubleI`	`u(IInteger epIdx, IDouble epFraction)`
`double`	`u(int epIdx, double epFraction)`
`double`	`u(ISwitchE r, IVec2I pt)`
`double`	`u(ISwitchE r, IVecI pt)`
`IDoubleI`	`u(ISwitchR r, IVec2I pt)`
`IDoubleI`	`u(ISwitchR r, IVecI pt)`
`double`	`u(IVec2I pt)` approximate invert projection from 2D location to interanl parameter U
`double`	`u(IVecI pt)` approximate invert projection from 3D location to interanl parameter U (closest point on curve)
`double`	`uend()`
`double`	`uend(ISwitchE e)`
`IDoubleI`	`uend(ISwitchR r)`
`double`	`ustart()`
`double`	`ustart(ISwitchE e)`
`IDoubleI`	`ustart(ISwitchR r)`

Methods inherited from interface igeo.ITransformable
add, add, rot, rot, rot2, rot2, rot2, rot2, rot2, rot2

Method Detail

get
```
ICurveGeo get()
```
Specified by:

get in interface ICurveOp

Specified by:

get in interface IParameter

Returns:
fixed value but in wrapper class

dup
```
ICurveI dup()
```
Description copied from interface: ITransformable

duplicate the instance

Specified by:

dup in interface ITransformable

Returns:
duplicated instance

isValid
```
boolean isValid()
```

pt
```
IVecI pt(double u)
```

pt
```
IVecI pt(IDoubleI u)
```

tan
```
IVecI tan(double u)
```

tan
```
IVecI tan(IDoubleI u)
```

cp
```
IVecI cp(int i)
```

cp
```
IVecI cp(IIntegerI i)
```

ep
```
IVecI ep(int i)
```

ep
```
IVecI ep(IIntegerI i)
```

cps
```
IVecI[] cps()
```
all control points

u
```
double u(IVecI pt)
```
approximate invert projection from 3D location to interanl parameter U (closest point on curve)

u

double u(ISwitchE r,
       IVecI pt)

u

IDoubleI u(ISwitchR r,
         IVecI pt)

u
```
double u(IVec2I pt)
```
approximate invert projection from 2D location to interanl parameter U

u

double u(ISwitchE r,
       IVec2I pt)

u

IDoubleI u(ISwitchR r,
         IVec2I pt)

closePt
```
IVecI closePt(IVecI pt)
```
find approximately closest point on a curve

closePt
```
IVecI closePt(IVec2I pt)
```
find approximately closest point on a curve on 2D

dist
```
double dist(IVecI pt)
```
distance to the closest point on a curve

dist
```
double dist(IVec2I pt)
```
distance to the closest point on a curve on 2D

knot
```
double knot(int i)
```
close curve with the current control points. it changes total number of control points and knot vector dependng on the degree. new knot vector has equal default intervals destroying original variable intervals.

knot
```
IDoubleI knot(IIntegerI i)
```

knots
```
double[] knots()
```
all knot values

knots
```
double[] knots(ISwitchE e)
```

knots
```
IDoubleI[] knots(ISwitchR r)
```

knotNum
```
int knotNum()
```

knotNum
```
int knotNum(ISwitchE e)
```

knotNum
```
IIntegerI knotNum(ISwitchR r)
```

isRational
```
boolean isRational()
```
Returns:
returns true if any of control point has non-default(1.0) weight otherwise false.

isRational
```
boolean isRational(ISwitchE e)
```

isRational
```
IBoolI isRational(ISwitchR r)
```

deg
```
int deg()
```

deg
```
int deg(ISwitchE e)
```

deg
```
IIntegerI deg(ISwitchR r)
```

num
```
int num()
```
change degree. this operation is costly because it needs to rebuild the whole knots and basisFunction

num
```
int num(ISwitchE e)
```

num
```
IIntegerI num(ISwitchR r)
```

cpNum
```
int cpNum()
```

cpNum
```
int cpNum(ISwitchE e)
```

cpNum
```
IIntegerI cpNum(ISwitchR r)
```

start
```
IVecI start()
```

end
```
IVecI end()
```

startCP
```
IVecI startCP()
```

endCP
```
IVecI endCP()
```

mid
```
IVecI mid()
```
parametrically mid point of a curve

center
```
IVecI center()
```
returns center of geometry object

epNum
```
int epNum()
```

epNum
```
int epNum(ISwitchE e)
```

epNum
```
IIntegerI epNum(ISwitchR r)
```

len
```
double len()
```

len
```
double len(ISwitchE e)
```

len
```
IDouble len(ISwitchR r)
```

u

double u(int epIdx,
       double epFraction)

u

IDoubleI u(IInteger epIdx,
         IDouble epFraction)

ustart
```
double ustart()
```

uend
```
double uend()
```

ustart
```
double ustart(ISwitchE e)
```

uend
```
double uend(ISwitchE e)
```

ustart
```
IDoubleI ustart(ISwitchR r)
```

uend
```
IDoubleI uend(ISwitchR r)
```

isClosed
```
boolean isClosed()
```

isClosed
```
boolean isClosed(ISwitchE e)
```

isClosed
```
IBoolI isClosed(ISwitchR r)
```

rev
```
ICurveI rev()
```
reverse U coordintates direction of curve, without creating a new object

revU
```
ICurveI revU()
```
alias of rev()

flipU
```
ICurveI flipU()
```
alias of rev()

add
```
ICurveI add(double x,
          double y,
          double z)
```
transformation: API of ITransformable inteface

Specified by:

add in interface ITransformable

add

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

Specified by:: add in interface ITransformable

add
```
ICurveI add(IVecI v)
```
Specified by:

add in interface ITransformable

sub

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

Specified by:: sub in interface ITransformable

sub

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

Specified by:: sub in interface ITransformable

sub
```
ICurveI sub(IVecI v)
```
Specified by:

sub in interface ITransformable

mul
```
ICurveI mul(IDoubleI v)
```
Specified by:

mul in interface ITransformable

mul
```
ICurveI mul(double v)
```
Specified by:

mul in interface ITransformable

div
```
ICurveI div(IDoubleI v)
```
Specified by:

div in interface ITransformable

div
```
ICurveI div(double v)
```
Specified by:

div in interface ITransformable

neg
```
ICurveI neg()
```
Specified by:

neg in interface ITransformable

flip
```
ICurveI flip()
```
same with neg

Specified by:

flip in interface ITransformable

add
```
ICurveI add(IVecI v,
          double f)
```
scale add

Specified by:

add in interface ITransformable

add
```
ICurveI add(IVecI v,
          IDoubleI f)
```
Description copied from interface: ITransformable

scale add

Specified by:

add in interface ITransformable

rot
```
ICurveI rot(IVecI axis,
          IDoubleI angle)
```
Description copied from interface: ITransformable

rotation around axis vector

Specified by:

rot in interface ITransformable

rot

ICurveI rot(IVecI axis,
          double angle)

Specified by:: rot in interface ITransformable

rot
```
ICurveI rot(IVecI center,
          IVecI axis,
          IDoubleI angle)
```
Description copied from interface: ITransformable

rotation around axis vector and center

Specified by:

rot in interface ITransformable

rot

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

Specified by:: rot in interface ITransformable

rot
```
ICurveI rot(IVecI axis,
          IVecI destDir)
```
rotate to destination direction vector

Specified by:

rot in interface ITransformable

rot

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

rotate to destination point location

Specified by:: rot in interface ITransformable

scale
```
ICurveI scale(IDoubleI f)
```
alias of mul

Specified by:

scale in interface ITransformable

scale
```
ICurveI scale(double f)
```
Specified by:

scale in interface ITransformable

scale

ICurveI scale(IVecI center,
            IDoubleI f)

Specified by:: scale in interface ITransformable

scale

ICurveI scale(IVecI center,
            double f)

Specified by:: scale in interface ITransformable

scale1d
```
ICurveI scale1d(IVecI axis,
              double f)
```
scale only in 1 direction

Specified by:

scale1d in interface ITransformable

scale1d

ICurveI scale1d(IVecI axis,
              IDoubleI f)

Specified by:: scale1d in interface ITransformable

scale1d

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

Specified by:: scale1d in interface ITransformable

scale1d

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

Specified by:: scale1d in interface ITransformable

ref
```
ICurveI ref(IVecI planeDir)
```
reflect(mirror) 3 dimensionally to the other side of the plane

Specified by:

ref in interface ITransformable

ref

ICurveI ref(IVecI center,
          IVecI planeDir)

Specified by:: ref in interface ITransformable

mirror
```
ICurveI mirror(IVecI planeDir)
```
mirror is alias of ref

Specified by:

mirror in interface ITransformable

mirror

ICurveI mirror(IVecI center,
             IVecI planeDir)

Specified by:: mirror in interface ITransformable

shear

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

shear operation

Specified by:: shear in interface ITransformable

shear

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

Specified by:: shear in interface ITransformable

shear

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

Specified by:: shear in interface ITransformable

shear

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

Specified by:: shear in interface ITransformable

shearXY

ICurveI shearXY(double sxy,
              double syx)

Specified by:: shearXY in interface ITransformable

shearXY

ICurveI shearXY(IDoubleI sxy,
              IDoubleI syx)

Specified by:: shearXY in interface ITransformable

shearXY

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

Specified by:: shearXY in interface ITransformable

shearXY

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

Specified by:: shearXY in interface ITransformable

shearYZ

ICurveI shearYZ(double syz,
              double szy)

Specified by:: shearYZ in interface ITransformable

shearYZ

ICurveI shearYZ(IDoubleI syz,
              IDoubleI szy)

Specified by:: shearYZ in interface ITransformable

shearYZ

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

Specified by:: shearYZ in interface ITransformable

shearYZ

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

Specified by:: shearYZ in interface ITransformable

shearZX

ICurveI shearZX(double szx,
              double sxz)

Specified by:: shearZX in interface ITransformable

shearZX

ICurveI shearZX(IDoubleI szx,
              IDoubleI sxz)

Specified by:: shearZX in interface ITransformable

shearZX

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

Specified by:: shearZX in interface ITransformable

shearZX

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

Specified by:: shearZX in interface ITransformable

translate

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

translate is alias of add()

Specified by:: translate in interface ITransformable

translate

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

Specified by:: translate in interface ITransformable

translate
```
ICurveI translate(IVecI v)
```
Specified by:

translate in interface ITransformable

transform
```
ICurveI transform(IMatrix3I mat)
```
Specified by:

transform in interface ITransformable

transform
```
ICurveI transform(IMatrix4I mat)
```
Specified by:

transform in interface ITransformable

transform

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

Specified by:: transform in interface ITransformable

transform

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

Specified by:: transform in interface ITransformable

mv
```
ICurveI mv(double x,
         double y,
         double z)
```
mv() is alias of add()

Specified by:

mv in interface ITransformable

mv

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

Specified by:: mv in interface ITransformable

mv
```
ICurveI mv(IVecI v)
```
Specified by:

mv in interface ITransformable

cp
```
ICurveI cp()
```
cp() is alias of dup()

Specified by:

cp in interface ITransformable

cp
```
ICurveI cp(double x,
         double y,
         double z)
```
cp() is alias of dup().add()

Specified by:

cp in interface ITransformable

cp

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

Specified by:: cp in interface ITransformable

cp
```
ICurveI cp(IVecI v)
```
Specified by:

cp in interface ITransformable

Interface ICurveI

Method Summary

Methods inherited from interface igeo.ITransformable

Method Detail

get

dup

isValid

pt

pt

tan

tan

cp

cp

ep

ep

cps

u

u

u

u

u

u

closePt

closePt

dist

dist

knot

knot

knots

knots

knots

knotNum

knotNum

knotNum

isRational

isRational

isRational

deg

deg

deg

num

num

num

cpNum

cpNum

cpNum

start

end

startCP

endCP

mid

center

epNum

epNum

epNum

len

len

len

u

u

ustart

uend

ustart

uend

ustart

uend

isClosed

isClosed

isClosed

rev

revU

flipU

add

add

add

sub

sub

sub

mul

mul