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Copy pathentity.cpp
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777 lines (688 loc) · 24.4 KB
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//-----------------------------------------------------------------------------
// The implementation of our entities in the symbolic algebra system, methods
// to return a symbolic representation of the entity (line by its endpoints,
// circle by center and radius, etc.).
//
// Copyright 2008-2013 Jonathan Westhues.
//-----------------------------------------------------------------------------
#include "solvespace.h"
const hEntity EntityBase::FREE_IN_3D = { 0 };
const hEntity EntityBase::NO_ENTITY = { 0 };
bool EntityBase::HasVector(void) {
switch(type) {
case LINE_SEGMENT:
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
return true;
default:
return false;
}
}
ExprVector EntityBase::VectorGetExprs(void) {
switch(type) {
case LINE_SEGMENT:
return (SK.GetEntity(point[0])->PointGetExprs()).Minus(
SK.GetEntity(point[1])->PointGetExprs());
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
return NormalExprsN();
default: oops();
}
}
Vector EntityBase::VectorGetNum(void) {
switch(type) {
case LINE_SEGMENT:
return (SK.GetEntity(point[0])->PointGetNum()).Minus(
SK.GetEntity(point[1])->PointGetNum());
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
return NormalN();
default: oops();
}
}
Vector EntityBase::VectorGetRefPoint(void) {
switch(type) {
case LINE_SEGMENT:
return ((SK.GetEntity(point[0])->PointGetNum()).Plus(
SK.GetEntity(point[1])->PointGetNum())).ScaledBy(0.5);
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
return SK.GetEntity(point[0])->PointGetNum();
default: oops();
}
}
bool EntityBase::IsCircle(void) {
return (type == CIRCLE) || (type == ARC_OF_CIRCLE);
}
Expr *EntityBase::CircleGetRadiusExpr(void) {
if(type == CIRCLE) {
return SK.GetEntity(distance)->DistanceGetExpr();
} else if(type == ARC_OF_CIRCLE) {
return Constraint::Distance(workplane, point[0], point[1]);
} else oops();
}
double EntityBase::CircleGetRadiusNum(void) {
if(type == CIRCLE) {
return SK.GetEntity(distance)->DistanceGetNum();
} else if(type == ARC_OF_CIRCLE) {
Vector c = SK.GetEntity(point[0])->PointGetNum();
Vector pa = SK.GetEntity(point[1])->PointGetNum();
return (pa.Minus(c)).Magnitude();
} else oops();
}
void EntityBase::ArcGetAngles(double *thetaa, double *thetab, double *dtheta) {
if(type != ARC_OF_CIRCLE) oops();
Quaternion q = Normal()->NormalGetNum();
Vector u = q.RotationU(), v = q.RotationV();
Vector c = SK.GetEntity(point[0])->PointGetNum();
Vector pa = SK.GetEntity(point[1])->PointGetNum();
Vector pb = SK.GetEntity(point[2])->PointGetNum();
Point2d c2 = c.Project2d(u, v);
Point2d pa2 = (pa.Project2d(u, v)).Minus(c2);
Point2d pb2 = (pb.Project2d(u, v)).Minus(c2);
*thetaa = atan2(pa2.y, pa2.x);
*thetab = atan2(pb2.y, pb2.x);
*dtheta = *thetab - *thetaa;
// If the endpoints are coincident, call it a full arc, not a zero arc;
// useful concept to have when splitting
while(*dtheta < 1e-6) *dtheta += 2*PI;
while(*dtheta > (2*PI)) *dtheta -= 2*PI;
}
Vector EntityBase::CubicGetStartNum(void) {
return SK.GetEntity(point[0])->PointGetNum();
}
Vector EntityBase::CubicGetFinishNum(void) {
return SK.GetEntity(point[3+extraPoints])->PointGetNum();
}
ExprVector EntityBase::CubicGetStartTangentExprs(void) {
ExprVector pon = SK.GetEntity(point[0])->PointGetExprs(),
poff = SK.GetEntity(point[1])->PointGetExprs();
return (pon.Minus(poff));
}
ExprVector EntityBase::CubicGetFinishTangentExprs(void) {
ExprVector pon = SK.GetEntity(point[3+extraPoints])->PointGetExprs(),
poff = SK.GetEntity(point[2+extraPoints])->PointGetExprs();
return (pon.Minus(poff));
}
Vector EntityBase::CubicGetStartTangentNum(void) {
Vector pon = SK.GetEntity(point[0])->PointGetNum(),
poff = SK.GetEntity(point[1])->PointGetNum();
return (pon.Minus(poff));
}
Vector EntityBase::CubicGetFinishTangentNum(void) {
Vector pon = SK.GetEntity(point[3+extraPoints])->PointGetNum(),
poff = SK.GetEntity(point[2+extraPoints])->PointGetNum();
return (pon.Minus(poff));
}
bool EntityBase::IsWorkplane(void) {
return (type == WORKPLANE);
}
ExprVector EntityBase::WorkplaneGetOffsetExprs(void) {
return SK.GetEntity(point[0])->PointGetExprs();
}
Vector EntityBase::WorkplaneGetOffset(void) {
return SK.GetEntity(point[0])->PointGetNum();
}
void EntityBase::WorkplaneGetPlaneExprs(ExprVector *n, Expr **dn) {
if(type == WORKPLANE) {
*n = Normal()->NormalExprsN();
ExprVector p0 = SK.GetEntity(point[0])->PointGetExprs();
// The plane is n dot (p - p0) = 0, or
// n dot p - n dot p0 = 0
// so dn = n dot p0
*dn = p0.Dot(*n);
} else {
oops();
}
}
bool EntityBase::IsDistance(void) {
return (type == DISTANCE) ||
(type == DISTANCE_N_COPY);
}
double EntityBase::DistanceGetNum(void) {
if(type == DISTANCE) {
return SK.GetParam(param[0])->val;
} else if(type == DISTANCE_N_COPY) {
return numDistance;
} else oops();
}
Expr *EntityBase::DistanceGetExpr(void) {
if(type == DISTANCE) {
return Expr::From(param[0]);
} else if(type == DISTANCE_N_COPY) {
return Expr::From(numDistance);
} else oops();
}
void EntityBase::DistanceForceTo(double v) {
if(type == DISTANCE) {
(SK.GetParam(param[0]))->val = v;
} else if(type == DISTANCE_N_COPY) {
// do nothing, it's locked
} else oops();
}
EntityBase *EntityBase::Normal(void) {
return SK.GetEntity(normal);
}
bool EntityBase::IsPoint(void) {
switch(type) {
case POINT_IN_3D:
case POINT_IN_2D:
case POINT_N_COPY:
case POINT_N_TRANS:
case POINT_N_ROT_TRANS:
case POINT_N_ROT_AA:
return true;
default:
return false;
}
}
bool EntityBase::IsNormal(void) {
switch(type) {
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
return true;
default: return false;
}
}
Quaternion EntityBase::NormalGetNum(void) {
Quaternion q;
switch(type) {
case NORMAL_IN_3D:
q = Quaternion::From(param[0], param[1], param[2], param[3]);
break;
case NORMAL_IN_2D: {
EntityBase *wrkpl = SK.GetEntity(workplane);
EntityBase *norm = SK.GetEntity(wrkpl->normal);
q = norm->NormalGetNum();
break;
}
case NORMAL_N_COPY:
q = numNormal;
break;
case NORMAL_N_ROT:
q = Quaternion::From(param[0], param[1], param[2], param[3]);
q = q.Times(numNormal);
break;
case NORMAL_N_ROT_AA: {
q = GetAxisAngleQuaternion(0);
q = q.Times(numNormal);
break;
}
default: oops();
}
return q;
}
void EntityBase::NormalForceTo(Quaternion q) {
switch(type) {
case NORMAL_IN_3D:
SK.GetParam(param[0])->val = q.w;
SK.GetParam(param[1])->val = q.vx;
SK.GetParam(param[2])->val = q.vy;
SK.GetParam(param[3])->val = q.vz;
break;
case NORMAL_IN_2D:
case NORMAL_N_COPY:
// There's absolutely nothing to do; these are locked.
break;
case NORMAL_N_ROT: {
Quaternion qp = q.Times(numNormal.Inverse());
SK.GetParam(param[0])->val = qp.w;
SK.GetParam(param[1])->val = qp.vx;
SK.GetParam(param[2])->val = qp.vy;
SK.GetParam(param[3])->val = qp.vz;
break;
}
case NORMAL_N_ROT_AA:
// Not sure if I'll bother implementing this one
break;
default: oops();
}
}
Vector EntityBase::NormalU(void) {
return NormalGetNum().RotationU();
}
Vector EntityBase::NormalV(void) {
return NormalGetNum().RotationV();
}
Vector EntityBase::NormalN(void) {
return NormalGetNum().RotationN();
}
ExprVector EntityBase::NormalExprsU(void) {
return NormalGetExprs().RotationU();
}
ExprVector EntityBase::NormalExprsV(void) {
return NormalGetExprs().RotationV();
}
ExprVector EntityBase::NormalExprsN(void) {
return NormalGetExprs().RotationN();
}
ExprQuaternion EntityBase::NormalGetExprs(void) {
ExprQuaternion q;
switch(type) {
case NORMAL_IN_3D:
q = ExprQuaternion::From(param[0], param[1], param[2], param[3]);
break;
case NORMAL_IN_2D: {
EntityBase *wrkpl = SK.GetEntity(workplane);
EntityBase *norm = SK.GetEntity(wrkpl->normal);
q = norm->NormalGetExprs();
break;
}
case NORMAL_N_COPY:
q = ExprQuaternion::From(numNormal);
break;
case NORMAL_N_ROT: {
ExprQuaternion orig = ExprQuaternion::From(numNormal);
q = ExprQuaternion::From(param[0], param[1], param[2], param[3]);
q = q.Times(orig);
break;
}
case NORMAL_N_ROT_AA: {
ExprQuaternion orig = ExprQuaternion::From(numNormal);
q = GetAxisAngleQuaternionExprs(0);
q = q.Times(orig);
break;
}
default: oops();
}
return q;
}
void EntityBase::PointForceTo(Vector p) {
switch(type) {
case POINT_IN_3D:
SK.GetParam(param[0])->val = p.x;
SK.GetParam(param[1])->val = p.y;
SK.GetParam(param[2])->val = p.z;
break;
case POINT_IN_2D: {
EntityBase *c = SK.GetEntity(workplane);
p = p.Minus(c->WorkplaneGetOffset());
SK.GetParam(param[0])->val = p.Dot(c->Normal()->NormalU());
SK.GetParam(param[1])->val = p.Dot(c->Normal()->NormalV());
break;
}
case POINT_N_TRANS: {
if(timesApplied == 0) break;
Vector trans = (p.Minus(numPoint)).ScaledBy(1.0/timesApplied);
SK.GetParam(param[0])->val = trans.x;
SK.GetParam(param[1])->val = trans.y;
SK.GetParam(param[2])->val = trans.z;
break;
}
case POINT_N_ROT_TRANS: {
// Force only the translation; leave the rotation unchanged. But
// remember that we're working with respect to the rotated
// point.
Vector trans = p.Minus(PointGetQuaternion().Rotate(numPoint));
SK.GetParam(param[0])->val = trans.x;
SK.GetParam(param[1])->val = trans.y;
SK.GetParam(param[2])->val = trans.z;
break;
}
case POINT_N_ROT_AA: {
// Force only the angle; the axis and center of rotation stay
Vector offset = Vector::From(param[0], param[1], param[2]);
Vector normal = Vector::From(param[4], param[5], param[6]);
Vector u = normal.Normal(0), v = normal.Normal(1);
Vector po = p.Minus(offset), numo = numPoint.Minus(offset);
double thetap = atan2(v.Dot(po), u.Dot(po));
double thetan = atan2(v.Dot(numo), u.Dot(numo));
double thetaf = (thetap - thetan);
double thetai = (SK.GetParam(param[3])->val)*timesApplied*2;
double dtheta = thetaf - thetai;
// Take the smallest possible change in the actual step angle,
// in order to avoid jumps when you cross from +pi to -pi
while(dtheta < -PI) dtheta += 2*PI;
while(dtheta > PI) dtheta -= 2*PI;
SK.GetParam(param[3])->val = (thetai + dtheta)/(timesApplied*2);
break;
}
case POINT_N_COPY:
// Nothing to do; it's a static copy
break;
default: oops();
}
}
Vector EntityBase::PointGetNum(void) {
Vector p;
switch(type) {
case POINT_IN_3D:
p = Vector::From(param[0], param[1], param[2]);
break;
case POINT_IN_2D: {
EntityBase *c = SK.GetEntity(workplane);
Vector u = c->Normal()->NormalU();
Vector v = c->Normal()->NormalV();
p = u.ScaledBy(SK.GetParam(param[0])->val);
p = p.Plus(v.ScaledBy(SK.GetParam(param[1])->val));
p = p.Plus(c->WorkplaneGetOffset());
break;
}
case POINT_N_TRANS: {
Vector trans = Vector::From(param[0], param[1], param[2]);
p = numPoint.Plus(trans.ScaledBy(timesApplied));
break;
}
case POINT_N_ROT_TRANS: {
Vector offset = Vector::From(param[0], param[1], param[2]);
Quaternion q = PointGetQuaternion();
p = q.Rotate(numPoint);
p = p.Plus(offset);
break;
}
case POINT_N_ROT_AA: {
Vector offset = Vector::From(param[0], param[1], param[2]);
Quaternion q = PointGetQuaternion();
p = numPoint.Minus(offset);
p = q.Rotate(p);
p = p.Plus(offset);
break;
}
case POINT_N_COPY:
p = numPoint;
break;
default: oops();
}
return p;
}
ExprVector EntityBase::PointGetExprs(void) {
ExprVector r;
switch(type) {
case POINT_IN_3D:
r = ExprVector::From(param[0], param[1], param[2]);
break;
case POINT_IN_2D: {
EntityBase *c = SK.GetEntity(workplane);
ExprVector u = c->Normal()->NormalExprsU();
ExprVector v = c->Normal()->NormalExprsV();
r = c->WorkplaneGetOffsetExprs();
r = r.Plus(u.ScaledBy(Expr::From(param[0])));
r = r.Plus(v.ScaledBy(Expr::From(param[1])));
break;
}
case POINT_N_TRANS: {
ExprVector orig = ExprVector::From(numPoint);
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
r = orig.Plus(trans.ScaledBy(Expr::From(timesApplied)));
break;
}
case POINT_N_ROT_TRANS: {
ExprVector orig = ExprVector::From(numPoint);
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
ExprQuaternion q =
ExprQuaternion::From(param[3], param[4], param[5], param[6]);
orig = q.Rotate(orig);
r = orig.Plus(trans);
break;
}
case POINT_N_ROT_AA: {
ExprVector orig = ExprVector::From(numPoint);
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
ExprQuaternion q = GetAxisAngleQuaternionExprs(3);
orig = orig.Minus(trans);
orig = q.Rotate(orig);
r = orig.Plus(trans);
break;
}
case POINT_N_COPY:
r = ExprVector::From(numPoint);
break;
default: oops();
}
return r;
}
void EntityBase::PointGetExprsInWorkplane(hEntity wrkpl, Expr **u, Expr **v) {
if(type == POINT_IN_2D && workplane.v == wrkpl.v) {
// They want our coordinates in the form that we've written them,
// very nice.
*u = Expr::From(param[0]);
*v = Expr::From(param[1]);
} else {
// Get the offset and basis vectors for this weird exotic csys.
EntityBase *w = SK.GetEntity(wrkpl);
ExprVector wp = w->WorkplaneGetOffsetExprs();
ExprVector wu = w->Normal()->NormalExprsU();
ExprVector wv = w->Normal()->NormalExprsV();
// Get our coordinates in three-space, and project them into that
// coordinate system.
ExprVector ev = PointGetExprs();
ev = ev.Minus(wp);
*u = ev.Dot(wu);
*v = ev.Dot(wv);
}
}
void EntityBase::PointForceQuaternionTo(Quaternion q) {
if(type != POINT_N_ROT_TRANS) oops();
SK.GetParam(param[3])->val = q.w;
SK.GetParam(param[4])->val = q.vx;
SK.GetParam(param[5])->val = q.vy;
SK.GetParam(param[6])->val = q.vz;
}
Quaternion EntityBase::GetAxisAngleQuaternion(int param0) {
Quaternion q;
double theta = timesApplied*SK.GetParam(param[param0+0])->val;
double s = sin(theta), c = cos(theta);
q.w = c;
q.vx = s*SK.GetParam(param[param0+1])->val;
q.vy = s*SK.GetParam(param[param0+2])->val;
q.vz = s*SK.GetParam(param[param0+3])->val;
return q;
}
ExprQuaternion EntityBase::GetAxisAngleQuaternionExprs(int param0) {
ExprQuaternion q;
Expr *theta = Expr::From(timesApplied)->Times(
Expr::From(param[param0+0]));
Expr *c = theta->Cos(), *s = theta->Sin();
q.w = c;
q.vx = s->Times(Expr::From(param[param0+1]));
q.vy = s->Times(Expr::From(param[param0+2]));
q.vz = s->Times(Expr::From(param[param0+3]));
return q;
}
Quaternion EntityBase::PointGetQuaternion(void) {
Quaternion q;
if(type == POINT_N_ROT_AA) {
q = GetAxisAngleQuaternion(3);
} else if(type == POINT_N_ROT_TRANS) {
q = Quaternion::From(param[3], param[4], param[5], param[6]);
} else oops();
return q;
}
bool EntityBase::IsFace(void) {
switch(type) {
case FACE_NORMAL_PT:
case FACE_XPROD:
case FACE_N_ROT_TRANS:
case FACE_N_TRANS:
case FACE_N_ROT_AA:
return true;
default:
return false;
}
}
ExprVector EntityBase::FaceGetNormalExprs(void) {
ExprVector r;
if(type == FACE_NORMAL_PT) {
Vector v = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
r = ExprVector::From(v.WithMagnitude(1));
} else if(type == FACE_XPROD) {
ExprVector vc = ExprVector::From(param[0], param[1], param[2]);
ExprVector vn =
ExprVector::From(numNormal.vx, numNormal.vy, numNormal.vz);
r = vc.Cross(vn);
r = r.WithMagnitude(Expr::From(1.0));
} else if(type == FACE_N_ROT_TRANS) {
// The numerical normal vector gets the rotation; the numerical
// normal has magnitude one, and the rotation doesn't change that,
// so there's no need to fix it up.
r = ExprVector::From(numNormal.vx, numNormal.vy, numNormal.vz);
ExprQuaternion q =
ExprQuaternion::From(param[3], param[4], param[5], param[6]);
r = q.Rotate(r);
} else if(type == FACE_N_TRANS) {
r = ExprVector::From(numNormal.vx, numNormal.vy, numNormal.vz);
} else if(type == FACE_N_ROT_AA) {
r = ExprVector::From(numNormal.vx, numNormal.vy, numNormal.vz);
ExprQuaternion q = GetAxisAngleQuaternionExprs(3);
r = q.Rotate(r);
} else oops();
return r;
}
Vector EntityBase::FaceGetNormalNum(void) {
Vector r;
if(type == FACE_NORMAL_PT) {
r = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
} else if(type == FACE_XPROD) {
Vector vc = Vector::From(param[0], param[1], param[2]);
Vector vn = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
r = vc.Cross(vn);
} else if(type == FACE_N_ROT_TRANS) {
// The numerical normal vector gets the rotation
r = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
Quaternion q = Quaternion::From(param[3], param[4], param[5], param[6]);
r = q.Rotate(r);
} else if(type == FACE_N_TRANS) {
r = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
} else if(type == FACE_N_ROT_AA) {
r = Vector::From(numNormal.vx, numNormal.vy, numNormal.vz);
Quaternion q = GetAxisAngleQuaternion(3);
r = q.Rotate(r);
} else oops();
return r.WithMagnitude(1);
}
ExprVector EntityBase::FaceGetPointExprs(void) {
ExprVector r;
if(type == FACE_NORMAL_PT) {
r = SK.GetEntity(point[0])->PointGetExprs();
} else if(type == FACE_XPROD) {
r = ExprVector::From(numPoint);
} else if(type == FACE_N_ROT_TRANS) {
// The numerical point gets the rotation and translation.
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
ExprQuaternion q =
ExprQuaternion::From(param[3], param[4], param[5], param[6]);
r = ExprVector::From(numPoint);
r = q.Rotate(r);
r = r.Plus(trans);
} else if(type == FACE_N_TRANS) {
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
r = ExprVector::From(numPoint);
r = r.Plus(trans.ScaledBy(Expr::From(timesApplied)));
} else if(type == FACE_N_ROT_AA) {
ExprVector trans = ExprVector::From(param[0], param[1], param[2]);
ExprQuaternion q = GetAxisAngleQuaternionExprs(3);
r = ExprVector::From(numPoint);
r = r.Minus(trans);
r = q.Rotate(r);
r = r.Plus(trans);
} else oops();
return r;
}
Vector EntityBase::FaceGetPointNum(void) {
Vector r;
if(type == FACE_NORMAL_PT) {
r = SK.GetEntity(point[0])->PointGetNum();
} else if(type == FACE_XPROD) {
r = numPoint;
} else if(type == FACE_N_ROT_TRANS) {
// The numerical point gets the rotation and translation.
Vector trans = Vector::From(param[0], param[1], param[2]);
Quaternion q = Quaternion::From(param[3], param[4], param[5], param[6]);
r = q.Rotate(numPoint);
r = r.Plus(trans);
} else if(type == FACE_N_TRANS) {
Vector trans = Vector::From(param[0], param[1], param[2]);
r = numPoint.Plus(trans.ScaledBy(timesApplied));
} else if(type == FACE_N_ROT_AA) {
Vector trans = Vector::From(param[0], param[1], param[2]);
Quaternion q = GetAxisAngleQuaternion(3);
r = numPoint.Minus(trans);
r = q.Rotate(r);
r = r.Plus(trans);
} else oops();
return r;
}
bool EntityBase::HasEndpoints(void) {
return (type == LINE_SEGMENT) ||
(type == CUBIC) ||
(type == ARC_OF_CIRCLE);
}
Vector EntityBase::EndpointStart() {
if(type == LINE_SEGMENT) {
return SK.GetEntity(point[0])->PointGetNum();
} else if(type == CUBIC) {
return CubicGetStartNum();
} else if(type == ARC_OF_CIRCLE) {
return SK.GetEntity(point[1])->PointGetNum();
} else {
oops();
}
}
Vector EntityBase::EndpointFinish() {
if(type == LINE_SEGMENT) {
return SK.GetEntity(point[1])->PointGetNum();
} else if(type == CUBIC) {
return CubicGetFinishNum();
} else if(type == ARC_OF_CIRCLE) {
return SK.GetEntity(point[2])->PointGetNum();
} else {
oops();
}
}
void EntityBase::AddEq(IdList<Equation,hEquation> *l, Expr *expr, int index) {
Equation eq;
eq.e = expr;
eq.h = h.equation(index);
l->Add(&eq);
}
void EntityBase::GenerateEquations(IdList<Equation,hEquation> *l) {
switch(type) {
case NORMAL_IN_3D: {
ExprQuaternion q = NormalGetExprs();
AddEq(l, (q.Magnitude())->Minus(Expr::From(1)), 0);
break;
}
case ARC_OF_CIRCLE: {
// If this is a copied entity, with its point already fixed
// with respect to each other, then we don't want to generate
// the distance constraint!
if(SK.GetEntity(point[0])->type != POINT_IN_2D) break;
// If the two endpoints of the arc are constrained coincident
// (to make a complete circle), then our distance constraint
// would be redundant and therefore overconstrain things.
int i;
for(i = 0; i < SK.constraint.n; i++) {
ConstraintBase *c = &(SK.constraint.elem[i]);
if(c->group.v != group.v) continue;
if(c->type != Constraint::POINTS_COINCIDENT) continue;
if((c->ptA.v == point[1].v && c->ptB.v == point[2].v) ||
(c->ptA.v == point[2].v && c->ptB.v == point[1].v))
{
break;
}
}
if(i < SK.constraint.n) break;
Expr *ra = Constraint::Distance(workplane, point[0], point[1]);
Expr *rb = Constraint::Distance(workplane, point[0], point[2]);
AddEq(l, ra->Minus(rb), 0);
break;
}
default:;
// Most entities do not generate equations.
}
}