| Package | Description | 
|---|---|
| org.hipparchus.geometry.euclidean.threed | 
 
 This package provides basic 3D geometry components. 
 | 
| org.hipparchus.geometry.spherical.twod | 
 
 This package provides basic geometry components on the 2-sphere. 
 | 
| Modifier and Type | Field and Description | 
|---|---|
static Vector3D | 
Vector3D.MINUS_I
Opposite of the first canonical vector (coordinates: -1, 0, 0). 
 | 
static Vector3D | 
Vector3D.MINUS_J
Opposite of the second canonical vector (coordinates: 0, -1, 0). 
 | 
static Vector3D | 
Vector3D.MINUS_K
Opposite of the third canonical vector (coordinates: 0, 0, -1). 
 | 
static Vector3D | 
Vector3D.NaN
A vector with all coordinates set to NaN. 
 | 
static Vector3D | 
Vector3D.NEGATIVE_INFINITY
A vector with all coordinates set to negative infinity. 
 | 
static Vector3D | 
Vector3D.PLUS_I
First canonical vector (coordinates: 1, 0, 0). 
 | 
static Vector3D | 
Vector3D.PLUS_J
Second canonical vector (coordinates: 0, 1, 0). 
 | 
static Vector3D | 
Vector3D.PLUS_K
Third canonical vector (coordinates: 0, 0, 1). 
 | 
static Vector3D | 
Vector3D.POSITIVE_INFINITY
A vector with all coordinates set to positive infinity. 
 | 
static Vector3D | 
Vector3D.ZERO
Null vector (coordinates: 0, 0, 0). 
 | 
| Modifier and Type | Method and Description | 
|---|---|
Vector3D | 
Vector3D.add(double factor,
   Vector<Euclidean3D> v)
Add a scaled vector to the instance. 
 | 
Vector3D | 
Vector3D.add(Vector<Euclidean3D> v)
Add a vector to the instance. 
 | 
Vector3D | 
Rotation.applyInverseTo(Vector3D u)
Apply the inverse of the rotation to a vector. 
 | 
Vector3D | 
Rotation.applyTo(Vector3D u)
Apply the rotation to a vector. 
 | 
Vector3D | 
Line.closestPoint(Line line)
Compute the point of the instance closest to another line. 
 | 
Vector3D | 
Vector3D.crossProduct(Vector<Euclidean3D> v)
Compute the cross-product of the instance with another vector. 
 | 
static Vector3D | 
Vector3D.crossProduct(Vector3D v1,
            Vector3D v2)
Compute the cross-product of two vectors. 
 | 
Vector3D | 
RotationOrder.getA1()
Get the axis of the first rotation. 
 | 
Vector3D | 
RotationOrder.getA2()
Get the axis of the second rotation. 
 | 
Vector3D | 
RotationOrder.getA3()
Get the axis of the second rotation. 
 | 
Vector3D | 
Rotation.getAxis(RotationConvention convention)
Get the normalized axis of the rotation. 
 | 
Vector3D | 
SphericalCoordinates.getCartesian()
Get the Cartesian coordinates. 
 | 
Vector3D | 
Line.getDirection()
Get the normalized direction vector. 
 | 
Vector3D | 
Segment.getEnd()
Get the end point of the segment. 
 | 
Vector3D | 
Plane.getNormal()
Get the normalized normal vector. 
 | 
Vector3D | 
Line.getOrigin()
Get the line point closest to the origin. 
 | 
Vector3D | 
Plane.getOrigin()
Get the origin point of the plane frame. 
 | 
Vector3D | 
Plane.getPointAt(Vector2D inPlane,
          double offset)
Get one point from the 3D-space. 
 | 
Vector3D | 
Segment.getStart()
Get the start point of the segment. 
 | 
Vector3D | 
Plane.getU()
Get the plane first canonical vector. 
 | 
Vector3D | 
Plane.getV()
Get the plane second canonical vector. 
 | 
Vector3D | 
Vector3D.getZero()
Get the null vector of the vectorial space or origin point of the affine space. 
 | 
Vector3D | 
Line.intersection(Line line)
Get the intersection point of the instance and another line. 
 | 
Vector3D | 
Plane.intersection(Line line)
Get the intersection of a line with the instance. 
 | 
static Vector3D | 
Plane.intersection(Plane plane1,
            Plane plane2,
            Plane plane3)
Get the intersection point of three planes. 
 | 
Vector3D | 
SubLine.intersection(SubLine subLine,
            boolean includeEndPoints)
Get the intersection of the instance and another sub-line. 
 | 
Vector3D | 
Vector3D.negate()
Get the opposite of the instance. 
 | 
Vector3D | 
Vector3D.normalize()
Get a normalized vector aligned with the instance. 
 | 
Vector3D | 
Vector3D.orthogonal()
Get a vector orthogonal to the instance. 
 | 
Vector3D | 
Vector3DFormat.parse(String source)
Parses a string to produce a  
Vector3D object. | 
Vector3D | 
Vector3DFormat.parse(String source,
     ParsePosition pos)
Parses a string to produce a  
Vector3D object. | 
Vector3D | 
Line.pointAt(double abscissa)
Get one point from the line. 
 | 
Vector3D | 
Vector3D.scalarMultiply(double a)
Multiply the instance by a scalar. 
 | 
Vector3D | 
Vector3D.subtract(double factor,
        Vector<Euclidean3D> v)
Subtract a scaled vector from the instance. 
 | 
Vector3D | 
Vector3D.subtract(Vector<Euclidean3D> v)
Subtract a vector from the instance. 
 | 
Vector3D | 
Line.toSpace(Point<Euclidean1D> point)
Transform a sub-space point into a space point. 
 | 
Vector3D | 
Plane.toSpace(Point<Euclidean2D> point)
Transform an in-plane point into a 3D space point. 
 | 
Vector3D | 
Line.toSpace(Vector<Euclidean1D> vector)
Transform a sub-space point into a space point. 
 | 
Vector3D | 
Plane.toSpace(Vector<Euclidean2D> vector)
Transform a sub-space point into a space point. 
 | 
Vector3D | 
FieldVector3D.toVector3D()
Convert to a constant vector without extra field parts. 
 | 
| Modifier and Type | Method and Description | 
|---|---|
EnclosingBall<Euclidean3D,Vector3D> | 
SphereGenerator.ballOnSupport(List<Vector3D> support)
Create a ball whose boundary lies on prescribed support points. 
 | 
List<Vector3D> | 
PolyhedronsSet.BRep.getVertices()
Get the extracted vertices. 
 | 
| Modifier and Type | Method and Description | 
|---|---|
FieldVector3D<T> | 
FieldVector3D.add(double factor,
   Vector3D v)
Add a scaled vector to the instance. 
 | 
FieldVector3D<T> | 
FieldVector3D.add(T factor,
   Vector3D v)
Add a scaled vector to the instance. 
 | 
FieldVector3D<T> | 
FieldVector3D.add(Vector3D v)
Add a vector to the instance. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.angle(FieldVector3D<T> v1,
     Vector3D v2)
Compute the angular separation between two vectors. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.angle(Vector3D v1,
     FieldVector3D<T> v2)
Compute the angular separation between two vectors. 
 | 
static double | 
Vector3D.angle(Vector3D v1,
     Vector3D v2)
Compute the angular separation between two vectors. 
 | 
Vector3D | 
Rotation.applyInverseTo(Vector3D u)
Apply the inverse of the rotation to a vector. 
 | 
FieldVector3D<T> | 
FieldRotation.applyInverseTo(Vector3D u)
Apply the inverse of the rotation to a vector. 
 | 
Vector3D | 
Rotation.applyTo(Vector3D u)
Apply the rotation to a vector. 
 | 
FieldVector3D<T> | 
FieldRotation.applyTo(Vector3D u)
Apply the rotation to a vector. 
 | 
boolean | 
FieldLine.contains(Vector3D p)
Check if the instance contains a point. 
 | 
boolean | 
Line.contains(Vector3D p)
Check if the instance contains a point. 
 | 
boolean | 
Plane.contains(Vector3D p)
Check if the instance contains a point. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.crossProduct(FieldVector3D<T> v1,
            Vector3D v2)
Compute the cross-product of two vectors. 
 | 
FieldVector3D<T> | 
FieldVector3D.crossProduct(Vector3D v)
Compute the cross-product of the instance with another vector. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.crossProduct(Vector3D v1,
            FieldVector3D<T> v2)
Compute the cross-product of two vectors. 
 | 
static Vector3D | 
Vector3D.crossProduct(Vector3D v1,
            Vector3D v2)
Compute the cross-product of two vectors. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distance(FieldVector3D<T> v1,
        Vector3D v2)
Compute the distance between two vectors according to the L2 norm. 
 | 
T | 
FieldLine.distance(Vector3D p)
Compute the distance between the instance and a point. 
 | 
double | 
Line.distance(Vector3D p)
Compute the distance between the instance and a point. 
 | 
T | 
FieldVector3D.distance(Vector3D v)
Compute the distance between the instance and another vector according to the L2 norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distance(Vector3D v1,
        FieldVector3D<T> v2)
Compute the distance between two vectors according to the L2 norm. 
 | 
static double | 
Vector3D.distance(Vector3D v1,
        Vector3D v2)
Compute the distance between two vectors according to the L2 norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distance1(FieldVector3D<T> v1,
         Vector3D v2)
Compute the distance between two vectors according to the L1 norm. 
 | 
T | 
FieldVector3D.distance1(Vector3D v)
Compute the distance between the instance and another vector according to the L1 norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distance1(Vector3D v1,
         FieldVector3D<T> v2)
Compute the distance between two vectors according to the L1 norm. 
 | 
static double | 
Vector3D.distance1(Vector3D v1,
         Vector3D v2)
Compute the distance between two vectors according to the L1 norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distanceInf(FieldVector3D<T> v1,
           Vector3D v2)
Compute the distance between two vectors according to the L∞ norm. 
 | 
T | 
FieldVector3D.distanceInf(Vector3D v)
Compute the distance between the instance and another vector according to the L∞ norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distanceInf(Vector3D v1,
           FieldVector3D<T> v2)
Compute the distance between two vectors according to the L∞ norm. 
 | 
static double | 
Vector3D.distanceInf(Vector3D v1,
           Vector3D v2)
Compute the distance between two vectors according to the L∞ norm. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distanceSq(FieldVector3D<T> v1,
          Vector3D v2)
Compute the square of the distance between two vectors. 
 | 
T | 
FieldVector3D.distanceSq(Vector3D v)
Compute the square of the distance between the instance and another vector. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.distanceSq(Vector3D v1,
          FieldVector3D<T> v2)
Compute the square of the distance between two vectors. 
 | 
static double | 
Vector3D.distanceSq(Vector3D v1,
          Vector3D v2)
Compute the square of the distance between two vectors. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.dotProduct(FieldVector3D<T> v1,
          Vector3D v2)
Compute the dot-product of two vectors. 
 | 
T | 
FieldVector3D.dotProduct(Vector3D v)
Compute the dot-product of the instance and another vector. 
 | 
static <T extends CalculusFieldElement<T>> | 
FieldVector3D.dotProduct(Vector3D v1,
          FieldVector3D<T> v2)
Compute the dot-product of two vectors. 
 | 
static double | 
Vector3D.dotProduct(Vector3D v1,
          Vector3D v2)
Compute the dot-product of two vectors. 
 | 
SubHyperplane<Euclidean3D> | 
PolyhedronsSet.firstIntersection(Vector3D point,
                 Line line)
Get the first sub-hyperplane crossed by a semi-infinite line. 
 | 
static Line | 
Line.fromDirection(Vector3D point,
             Vector3D direction,
             double tolerance)
Create a line from a point and a direction. 
 | 
T | 
FieldLine.getAbscissa(Vector3D point)
Get the abscissa of a point with respect to the line. 
 | 
double | 
Line.getAbscissa(Vector3D point)
Get the abscissa of a point with respect to the line. 
 | 
void | 
Line.reset(Vector3D p1,
     Vector3D p2)
Reset the instance as if built from two points. 
 | 
void | 
Plane.reset(Vector3D p,
     Vector3D normal)
Reset the instance as if built from a point and a normal. 
 | 
PolyhedronsSet | 
PolyhedronsSet.rotate(Vector3D center,
      Rotation rotation)
Rotate the region around the specified point. 
 | 
Plane | 
Plane.rotate(Vector3D center,
      Rotation rotation)
Rotate the plane around the specified point. 
 | 
FieldVector3D<T> | 
FieldVector3D.subtract(double factor,
        Vector3D v)
Subtract a scaled vector from the instance. 
 | 
FieldVector3D<T> | 
FieldVector3D.subtract(T factor,
        Vector3D v)
Subtract a scaled vector from the instance. 
 | 
FieldVector3D<T> | 
FieldVector3D.subtract(Vector3D v)
Subtract a vector from the instance. 
 | 
PolyhedronsSet | 
PolyhedronsSet.translate(Vector3D translation)
Translate the region by the specified amount. 
 | 
Plane | 
Plane.translate(Vector3D translation)
Translate the plane by the specified amount. 
 | 
| Modifier and Type | Method and Description | 
|---|---|
EnclosingBall<Euclidean3D,Vector3D> | 
SphereGenerator.ballOnSupport(List<Vector3D> support)
Create a ball whose boundary lies on prescribed support points. 
 | 
| Constructor and Description | 
|---|
FieldVector3D(Field<T> field,
             Vector3D v)
Build a  
FieldVector3D from a Vector3D. | 
FieldVector3D(T a,
             Vector3D u)
Multiplicative constructor. 
 | 
FieldVector3D(T a1,
             Vector3D u1,
             T a2,
             Vector3D u2)
Linear constructor. 
 | 
FieldVector3D(T a1,
             Vector3D u1,
             T a2,
             Vector3D u2,
             T a3,
             Vector3D u3)
Linear constructor. 
 | 
FieldVector3D(T a1,
             Vector3D u1,
             T a2,
             Vector3D u2,
             T a3,
             Vector3D u3,
             T a4,
             Vector3D u4)
Linear constructor. 
 | 
Line(Vector3D p1,
    Vector3D p2,
    double tolerance)
Build a line from two points. 
 | 
OutlineExtractor(Vector3D u,
                Vector3D v)
Build an extractor for a specific projection plane. 
 | 
Plane(Vector3D normal,
     double tolerance)
Build a plane normal to a given direction and containing the origin. 
 | 
Plane(Vector3D p,
     Vector3D normal,
     double tolerance)
Build a plane from a point and a normal. 
 | 
Plane(Vector3D p1,
     Vector3D p2,
     Vector3D p3,
     double tolerance)
Build a plane from three points. 
 | 
Rotation(Vector3D axis,
        double angle,
        RotationConvention convention)
Build a rotation from an axis and an angle. 
 | 
Rotation(Vector3D u,
        Vector3D v)
Build one of the rotations that transform one vector into another one. 
 | 
Rotation(Vector3D u1,
        Vector3D u2,
        Vector3D v1,
        Vector3D v2)
Build the rotation that transforms a pair of vectors into another pair. 
 | 
Segment(Vector3D start,
       Vector3D end,
       Line line)
Build a segment. 
 | 
SphericalCoordinates(Vector3D v)
Build a spherical coordinates transformer from Cartesian coordinates. 
 | 
SubLine(Vector3D start,
       Vector3D end,
       double tolerance)
Create a sub-line from two endpoints. 
 | 
Vector3D(double a,
        Vector3D u)
Multiplicative constructor
 Build a vector from another one and a scale factor. 
 | 
Vector3D(double a1,
        Vector3D u1,
        double a2,
        Vector3D u2)
Linear constructor
 Build a vector from two other ones and corresponding scale factors. 
 | 
Vector3D(double a1,
        Vector3D u1,
        double a2,
        Vector3D u2,
        double a3,
        Vector3D u3)
Linear constructor
 Build a vector from three other ones and corresponding scale factors. 
 | 
Vector3D(double a1,
        Vector3D u1,
        double a2,
        Vector3D u2,
        double a3,
        Vector3D u3,
        double a4,
        Vector3D u4)
Linear constructor
 Build a vector from four other ones and corresponding scale factors. 
 | 
| Constructor and Description | 
|---|
BRep(List<Vector3D> vertices,
    List<int[]> facets)
Simple constructor. 
 | 
PolyhedronsSet(List<Vector3D> vertices,
              List<int[]> facets,
              double tolerance)
Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices. 
 | 
| Modifier and Type | Method and Description | 
|---|---|
Vector3D | 
Edge.getPointAt(double alpha)
Get an intermediate point. 
 | 
Vector3D | 
Circle.getPointAt(double alpha)
Get a circle point from its phase around the circle. 
 | 
Vector3D | 
Circle.getPole()
Get the pole of the circle. 
 | 
Vector3D | 
S2Point.getVector()
Get the corresponding normalized vector in the 3D euclidean space. 
 | 
Vector3D | 
Circle.getXAxis()
Get the X axis of the circle. 
 | 
Vector3D | 
Circle.getYAxis()
Get the Y axis of the circle. 
 | 
| Modifier and Type | Method and Description | 
|---|---|
double | 
Circle.getOffset(Vector3D direction)
Get the offset (oriented distance) of a direction. 
 | 
double | 
Circle.getPhase(Vector3D direction)
Get the phase angle of a direction. 
 | 
void | 
Circle.reset(Vector3D newPole)
Reset the instance as if built from a pole. 
 | 
| Constructor and Description | 
|---|
Circle(Vector3D pole,
      double tolerance)
Build a great circle from its pole. 
 | 
S2Point(Vector3D vector)
Simple constructor. 
 | 
SphericalPolygonsSet(Vector3D pole,
                    double tolerance)
Build a polygons set representing a hemisphere. 
 | 
SphericalPolygonsSet(Vector3D center,
                    Vector3D meridian,
                    double outsideRadius,
                    int n,
                    double tolerance)
Build a polygons set representing a regular polygon. 
 | 
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