Geometric Constraint Solving​​

2D Constraint Solve

Constraint element type

Constraint element type include: point, line, circle, ellipse, elliptic arc, parabolic arc. Next, we will introduce how to create these constraint elements.

point

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handlePoint1;
//Define a point
AMCAX::GCS::Point2d p1{ 1., 2. };
//Initialize the handle and bind geometric objects
AMCAX::GCS::Status status1 = gcsSystem.Create2dPoint(handlePoint1, p1);
std::cout << status1 << std::endl;

line

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handlePoint1;
AMCAX::GCS::GCSWVarGeomHandle handleLine;
AMCAX::GCS::GCSWVarGeomHandle handlePoint2;
//Define a point
AMCAX::GCS::Point2d p1{ 1., 2. };
AMCAX::GCS::Point2d p2{ 3., 4. };
//Initialize the handle and bind geometric objects
AMCAX::GCS::Status status1 = gcsSystem.Create2dPoint(handlePoint1, p1);
AMCAX::GCS::Status status2 = gcsSystem.Create2dPoint(handlePoint2, p2);
AMCAX::GCS::Status status3 = gcsSystem.Create2dLine(handleLine, handlePoint1, handlePoint2);
std::cout << status3 << std::endl;

circle

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handleCircle;
AMCAX::GCS::GCSWVarGeomHandle handlecenter;
//Define a point
AMCAX::GCS::Point2d center{ 0., 0. };
//Initialize the handle and bind geometric objects
gcsSystem.Create2dPoint(handlecenter, center);
AMCAX::GCS::Status status3 = gcsSystem.Create2dCircle(handleCircle, handlecenter, 2.);
std::cout << status3 << std::endl;

ellipse

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handleEllipse, h_center;
//Define a vector
AMCAX::GCS::Vector2d majorAxis{ 1.,0. };
AMCAX::GCS::Vector2d minorAxis{ 0.,1. };
//Initialize the handle and bind geometric objects
gcsSystem.Create2dPoint(h_center, { 0,0 });
AMCAX::GCS::Status status4 = gcsSystem.Create2dEllipse(handleEllipse, h_center, majorAxis, 2., minorAxis, 1.);
std::cout << status4 << std::endl;

elliptic arc

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handleArcOfEllipse;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfEllipsestart;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfEllipseend, h_center1;
//Define a vector
AMCAX::GCS::Vector2d majorAxis{ 1.,0. };
AMCAX::GCS::Vector2d minorAxis{ 0.,1. };
AMCAX::GCS::Point2d start{ 2., 0. };
AMCAX::GCS::Point2d end{ -2., 0. };
//Initialize the handle and bind geometric objects
gcsSystem.Create2dPoint(h_center1, { 0,0 });
gcsSystem.Create2dPoint(handleArcOfEllipsestart, start);
gcsSystem.Create2dPoint(handleArcOfEllipseend, end);
double range = AMCAX::Constants::pi;
AMCAX::GCS::Status status5 = gcsSystem.Create2dArcOfEllipse(handleArcOfEllipse, h_center1, majorAxis, 2., minorAxis, 1., handleArcOfEllipsestart, handleArcOfEllipseend, range);
std::cout << status5 << std::endl;

parabolic arc

AMCAX::GCS::GCSWSystem gcsSystem;
//Create constraint handle
AMCAX::GCS::GCSWVarGeomHandle handleArcOfParabola;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfParabolafocus;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfParabolavertex;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfParabolastart;
AMCAX::GCS::GCSWVarGeomHandle handleArcOfParabolaend;
//Define a point
AMCAX::GCS::Point2d focus{ 1., 0. };
AMCAX::GCS::Point2d vertex{ 0., 0. };
AMCAX::GCS::Point2d apstart{ 1., 2. };
AMCAX::GCS::Point2d apend{ 1., -2. };
//Initialize the handle and bind geometric objects
gcsSystem.Create2dPoint(handleArcOfParabolafocus, focus);
gcsSystem.Create2dPoint(handleArcOfParabolavertex, vertex);
gcsSystem.Create2dPoint(handleArcOfParabolastart, apstart);
gcsSystem.Create2dPoint(handleArcOfParabolaend, apend);
AMCAX::GCS::Status status6 = gcsSystem.Create2dArcOfParabola(handleArcOfParabola, handleArcOfParabolafocus, vertex, handleArcOfParabolastart, handleArcOfParabolaend);
std::cout << status6 << std::endl;

Constraint Type

The types of constraint include parallel, vertical, angle, distance, concentric, symmetry, and equality.
To be down.

Support for Redundant Constraint Detection

To be down.

3D Constraint Solve

Constraint Element Type

The types of constraint element include point, line, and plane.
To be down.

Constraint Type

The types of constraint include parallel, angle, and distance.
To be down.