/**
* draws a circle
*
* @param center
* @param v1
* @param v2
* @param radius
*/
public void circle(GgbVector center, GgbVector v1, GgbVector v2, double radius) {
length = (float) (2 * Math.PI * radius); // TODO use integer to avoid bad dash cycle connection
int longitude = 60;
GgbVector vn1;
GgbVector vn2 = v1.crossProduct(v2);
float dt = (float) 1 / longitude;
float da = (float) (2 * Math.PI * dt);
float u = 0, v = 1;
setTextureX(0);
vn1 = (GgbVector) v1.mul(u).add(v2.mul(v));
down((GgbVector) center.add(vn1.mul(radius)), vn1, vn2);
for (int i = 1; i <= longitude; i++) {
u = (float) Math.sin(i * da);
v = (float) Math.cos(i * da);
setTextureX(i * dt);
vn1 = (GgbVector) v1.mul(u).add(v2.mul(v));
moveTo((GgbVector) center.add(vn1.mul(radius)), vn1, vn2);
}
}
/**
* returns the point at position lambda on the coord sys in the dimension given
*
* @param dimension
* @param lambda
* @return the point at position lambda on the coord sys
*/
public GgbVector getPointInD(int dimension, double lambda) {
GgbVector v = getPoint(lambda);
switch (dimension) {
case 3:
return v;
case 2:
return new GgbVector(v.getX(), v.getY(), v.getW());
default:
return null;
}
}
public GgbVector evaluatePoint(double u, double v) {
GeoPointND point = (GeoPointND) getGeoElement();
double r = point.getPointSize() / getView3D().getScale() * 1.5;
GgbVector n =
new GgbVector(
new double[] {
Math.cos(u) * Math.cos(v) * r, Math.sin(u) * Math.cos(v) * r, Math.sin(v) * r
});
return (GgbVector) n.add(point.getInhomCoordsInD(3));
}
/**
* adds the point with the specified position and tangent to the curve currently being drawn.
*
* @param p the point's position vector
* @param t the tangent at the point
*/
public void addPointToCurve3D(GgbVector3D p, GgbVector3D t) {
GgbVector position = new GgbVector(p.getX(), p.getY(), p.getZ(), 0);
GgbVector tangent = new GgbVector(t.getX(), t.getY(), t.getZ(), 0);
if (firstCurvePoint) {
end = new PlotterBrushSection(position, tangent, thickness);
firstCurvePoint = false;
} else {
if (discontinuityPassed(position)) {
startDrawingCurve(); // start drawing a new segment
addPointToCurve(position, tangent);
return;
} else {
start = end;
end = new PlotterBrushSection(start, position, tangent, thickness);
addCurvePos((float) position.sub(start.getCenter()).norm());
join();
}
}
previousPosition = position;
previousTangent = tangent;
}
/**
* segment curve
*
* @param p1
* @param p2
*/
public void segment(GgbVector p1, GgbVector p2) {
length = (float) p1.distance(p2);
if (Kernel.isEqual(length, 0, Kernel.STANDARD_PRECISION)) return;
down(p1);
switch (arrowType) {
case ARROW_TYPE_NONE:
default:
setTextureX(0, 1);
moveTo(p2);
break;
case ARROW_TYPE_SIMPLE:
float factor = (12 + lineThickness) * LINE3D_THICKNESS / scale;
float arrowPos = ARROW_LENGTH / length * factor;
GgbVector arrowBase = (GgbVector) start.getCenter().mul(arrowPos).add(p2.mul(1 - arrowPos));
setTextureX(0);
if (hasTicks()) {
GgbVector d = p2.sub(p1).normalized();
float thickness = this.thickness;
float i =
ticksOffset * length - ((int) (ticksOffset * length / ticksDistance)) * ticksDistance;
float ticksDelta = thickness;
float ticksThickness = 4 * thickness;
if (i <= ticksDelta) i += ticksDistance;
for (; i <= length * (1 - arrowPos); i += ticksDistance) {
GgbVector p1b = (GgbVector) p1.add(d.mul(i - ticksDelta));
GgbVector p2b = (GgbVector) p1.add(d.mul(i + ticksDelta));
setTextureType(TEXTURE_AFFINE);
setTextureX(i / length);
moveTo(p1b);
setThickness(ticksThickness);
setTextureType(TEXTURE_CONSTANT_0);
moveTo(p1b);
moveTo(p2b);
setThickness(thickness);
moveTo(p2b);
}
}
setTextureType(TEXTURE_AFFINE);
setTextureX(1 - arrowPos);
moveTo(arrowBase);
textureTypeX = TEXTURE_ID;
setTextureX(0, 0);
setThickness(factor * ARROW_WIDTH);
moveTo(arrowBase);
setThickness(0);
moveTo(p2);
break;
}
}
public GgbVector getCartesianEquationVector(GgbMatrix m) {
GgbVector origin = getCoordSys().getOrigin();
GgbVector direction = getCoordSys().getVx();
// TODO generalize it to other planes than xOy
// if lines is not in the plane, return null
if (!Kernel.isZero(origin.getZ()) || !Kernel.isZero(direction.getZ())) return null;
double x = -direction.getY();
double y = direction.getX();
double z = -x * origin.getX() - y * origin.getY();
return new GgbVector(x, y, z);
}
/** set the matrix to [V O] */
public void setCoordFromPoints(GgbVector a_O, GgbVector a_I) {
setCoord(a_O, a_I.sub(a_O));
}
public void pointChanged(GeoPointND P) {
boolean done = false;
// project P on line
double t = 0;
if (((GeoElement) P).isGeoElement3D()) {
if (((GeoPoint3D) P).getWillingCoords() != null) {
if (((GeoPoint3D) P).getWillingDirection() != null) {
// project willing location using willing direction
// GgbVector[] project = coordsys.getProjection(P.getWillingCoords(),
// P.getWillingDirection());
GgbVector[] project =
((GeoPoint3D) P)
.getWillingCoords()
.projectOnLineWithDirection(
coordsys.getOrigin(),
coordsys.getVx(),
((GeoPoint3D) P).getWillingDirection());
t = project[1].get(1);
done = true;
} else {
// project current point coordinates
// Application.debug("ici\n getWillingCoords=\n"+P.getWillingCoords()+"\n
// matrix=\n"+getMatrix().toString());
GgbVector preDirection =
((GeoPoint3D) P)
.getWillingCoords()
.sub(coordsys.getOrigin())
.crossProduct(coordsys.getVx());
if (preDirection.equalsForKernel(0, Kernel.STANDARD_PRECISION))
preDirection = coordsys.getVy();
GgbVector[] project =
((GeoPoint3D) P)
.getWillingCoords()
.projectOnLineWithDirection(
coordsys.getOrigin(),
coordsys.getVx(),
preDirection.crossProduct(coordsys.getVx()));
t = project[1].get(1);
done = true;
}
}
}
if (!done) {
// project current point coordinates
// Application.debug("project current point coordinates");
GgbVector preDirection =
P.getCoordsInD(3).sub(coordsys.getOrigin()).crossProduct(coordsys.getVx());
if (preDirection.equalsForKernel(0, Kernel.STANDARD_PRECISION))
preDirection = coordsys.getVy();
GgbVector[] project =
P.getCoordsInD(3)
.projectOnLineWithDirection(
coordsys.getOrigin(),
coordsys.getVx(),
preDirection.crossProduct(coordsys.getVx()));
t = project[1].get(1);
}
if (t < getMinParameter()) t = getMinParameter();
else if (t > getMaxParameter()) t = getMaxParameter();
// set path parameter
PathParameter pp = P.getPathParameter();
pp.setT(t);
// udpate point using pathChanged
pathChanged(P);
}
/**
* A test used to judge if the curve has passed over a discontinuity since the last point was
* added.
*
* @param position the position of the new point (pos2)
* @return true iff (pos2-pos1)/||pos2-pos1|| . tangent1 < CurveTree.discontinuityThreshold
*/
private boolean discontinuityPassed(GgbVector position) {
GgbVector dir = position.sub(previousPosition).normalized();
if (dir.dotproduct(previousTangent) < CurveTree.discontinuityThreshold) return true;
return false;
}