solvespace/entity.cpp
Jonathan Westhues e11da119f0 Add point-line distance, point-plane distance, and point-on-circle
constraints. And generate the constraint equations for entities
(e.g., that our unit quaternions have magnitude one). Numerical
troubles there, but it sort of works. Also some stuff to draw
projection lines with projected constraints, and to auto-insert
more constraints as you draw.

[git-p4: depot-paths = "//depot/solvespace/": change = 1711]
2008-05-07 23:30:30 -08:00

553 lines
16 KiB
C++

#include "solvespace.h"
char *Entity::DescriptionString(void) {
Request *r = SS.GetRequest(h.request());
return r->DescriptionString();
}
bool Entity::IsCircle(void) {
return (type == CIRCLE);
}
bool Entity::IsWorkplane(void) {
return (type == WORKPLANE);
}
ExprVector Entity::WorkplaneGetOffsetExprs(void) {
return SS.GetEntity(point[0])->PointGetExprs();
}
Vector Entity::WorkplaneGetOffset(void) {
return SS.GetEntity(point[0])->PointGetNum();
}
void Entity::WorkplaneGetPlaneExprs(ExprVector *n, Expr **dn) {
if(type == WORKPLANE) {
*n = Normal()->NormalExprsN();
ExprVector p0 = SS.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();
}
}
double Entity::DistanceGetNum(void) {
if(type == DISTANCE) {
return SS.GetParam(param[0])->val;
} else if(type == DISTANCE_XFRMD) {
return numDistance;
} else oops();
}
Expr *Entity::DistanceGetExpr(void) {
if(type == DISTANCE) {
return Expr::FromParam(param[0]);
} else if(type == DISTANCE_XFRMD) {
return Expr::FromConstant(numDistance);
} else oops();
}
void Entity::DistanceForceTo(double v) {
if(type == DISTANCE) {
(SS.GetParam(param[0]))->val = v;
} else if(type == DISTANCE_XFRMD) {
// do nothing, it's locked
} else oops();
}
Entity *Entity::Normal(void) {
return SS.GetEntity(normal);
}
bool Entity::IsPoint(void) {
switch(type) {
case POINT_IN_3D:
case POINT_IN_2D:
case POINT_XFRMD: return true;
default: return false;
}
}
bool Entity::IsNormal(void) {
switch(type) {
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_XFRMD: return true;
default: return false;
}
}
Quaternion Entity::NormalGetNum(void) {
Quaternion q;
switch(type) {
case NORMAL_IN_3D:
q.w = SS.GetParam(param[0])->val;
q.vx = SS.GetParam(param[1])->val;
q.vy = SS.GetParam(param[2])->val;
q.vz = SS.GetParam(param[3])->val;
break;
case NORMAL_IN_2D: {
Entity *wrkpl = SS.GetEntity(workplane);
Entity *norm = SS.GetEntity(wrkpl->normal);
q = norm->NormalGetNum();
break;
}
case NORMAL_XFRMD:
q = numNormal;
break;
default: oops();
}
return q;
}
void Entity::NormalForceTo(Quaternion q) {
switch(type) {
case NORMAL_IN_3D:
SS.GetParam(param[0])->val = q.w;
SS.GetParam(param[1])->val = q.vx;
SS.GetParam(param[2])->val = q.vy;
SS.GetParam(param[3])->val = q.vz;
break;
case NORMAL_IN_2D:
case NORMAL_XFRMD:
// There's absolutely nothing to do; these are locked.
break;
default: oops();
}
}
Vector Entity::NormalU(void) {
return NormalGetNum().RotationU();
}
Vector Entity::NormalV(void) {
return NormalGetNum().RotationV();
}
Vector Entity::NormalN(void) {
return NormalGetNum().RotationN();
}
ExprVector Entity::NormalExprsU(void) {
return NormalGetExprs().RotationU();
}
ExprVector Entity::NormalExprsV(void) {
return NormalGetExprs().RotationV();
}
ExprVector Entity::NormalExprsN(void) {
return NormalGetExprs().RotationN();
}
ExprQuaternion Entity::NormalGetExprs(void) {
ExprQuaternion q;
switch(type) {
case NORMAL_IN_3D:
q.w = Expr::FromParam(param[0]);
q.vx = Expr::FromParam(param[1]);
q.vy = Expr::FromParam(param[2]);
q.vz = Expr::FromParam(param[3]);
break;
case NORMAL_IN_2D: {
Entity *wrkpl = SS.GetEntity(workplane);
Entity *norm = SS.GetEntity(wrkpl->normal);
q = norm->NormalGetExprs();
break;
}
case NORMAL_XFRMD:
q.w = Expr::FromConstant(numNormal.w);
q.vx = Expr::FromConstant(numNormal.vx);
q.vy = Expr::FromConstant(numNormal.vy);
q.vz = Expr::FromConstant(numNormal.vz);
break;
default: oops();
}
return q;
}
bool Entity::PointIsFromReferences(void) {
return h.request().IsFromReferences();
}
void Entity::PointForceTo(Vector p) {
switch(type) {
case POINT_IN_3D:
SS.GetParam(param[0])->val = p.x;
SS.GetParam(param[1])->val = p.y;
SS.GetParam(param[2])->val = p.z;
break;
case POINT_IN_2D: {
Entity *c = SS.GetEntity(workplane);
p = p.Minus(c->WorkplaneGetOffset());
SS.GetParam(param[0])->val = p.Dot(c->Normal()->NormalU());
SS.GetParam(param[1])->val = p.Dot(c->Normal()->NormalV());
break;
}
case POINT_XFRMD: {
Vector trans = p.Minus(numPoint);
SS.GetParam(param[0])->val = trans.x;
SS.GetParam(param[1])->val = trans.y;
SS.GetParam(param[2])->val = trans.z;
break;
}
default: oops();
}
}
Vector Entity::PointGetNum(void) {
Vector p;
switch(type) {
case POINT_IN_3D:
p.x = SS.GetParam(param[0])->val;
p.y = SS.GetParam(param[1])->val;
p.z = SS.GetParam(param[2])->val;
break;
case POINT_IN_2D: {
Entity *c = SS.GetEntity(workplane);
Vector u = c->Normal()->NormalU();
Vector v = c->Normal()->NormalV();
p = u.ScaledBy(SS.GetParam(param[0])->val);
p = p.Plus(v.ScaledBy(SS.GetParam(param[1])->val));
p = p.Plus(c->WorkplaneGetOffset());
break;
}
case POINT_XFRMD: {
p = numPoint;
p.x += SS.GetParam(param[0])->val;
p.y += SS.GetParam(param[1])->val;
p.z += SS.GetParam(param[2])->val;
break;
}
default: oops();
}
return p;
}
ExprVector Entity::PointGetExprs(void) {
ExprVector r;
switch(type) {
case POINT_IN_3D:
r.x = Expr::FromParam(param[0]);
r.y = Expr::FromParam(param[1]);
r.z = Expr::FromParam(param[2]);
break;
case POINT_IN_2D: {
Entity *c = SS.GetEntity(workplane);
ExprVector u = c->Normal()->NormalExprsU();
ExprVector v = c->Normal()->NormalExprsV();
r = c->WorkplaneGetOffsetExprs();
r = r.Plus(u.ScaledBy(Expr::FromParam(param[0])));
r = r.Plus(v.ScaledBy(Expr::FromParam(param[1])));
break;
}
case POINT_XFRMD: {
ExprVector orig = {
Expr::FromConstant(numPoint.x),
Expr::FromConstant(numPoint.y),
Expr::FromConstant(numPoint.z) };
ExprVector trans;
trans.x = Expr::FromParam(param[0]);
trans.y = Expr::FromParam(param[1]);
trans.z = Expr::FromParam(param[2]);
r = orig.Plus(trans);
break;
}
default: oops();
}
return r;
}
void Entity::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::FromParam(param[0]);
*v = Expr::FromParam(param[1]);
} else {
// Get the offset and basis vectors for this weird exotic csys.
Entity *w = SS.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 Entity::LineDrawOrGetDistance(Vector a, Vector b) {
if(dogd.drawing) {
// This fudge guarantees that the line will get drawn in front of
// anything else at the "same" depth in the z-buffer, so that it
// goes in front of the shaded stuff.
Vector n = SS.GW.projRight.Cross(SS.GW.projUp);
n = n.WithMagnitude(3/SS.GW.scale);
glBegin(GL_LINE_STRIP);
glxVertex3v(a.Plus(n));
glxVertex3v(b.Plus(n));
glEnd();
} else {
Point2d ap = SS.GW.ProjectPoint(a);
Point2d bp = SS.GW.ProjectPoint(b);
double d = dogd.mp.DistanceToLine(ap, bp.Minus(ap), true);
dogd.dmin = min(dogd.dmin, d);
}
}
void Entity::LineDrawOrGetDistanceOrEdge(Vector a, Vector b) {
LineDrawOrGetDistance(a, b);
if(dogd.edges && !construction) {
SEdge edge;
edge.a = a; edge.b = b;
dogd.edges->l.Add(&edge);
}
}
void Entity::Draw(int order) {
dogd.drawing = true;
dogd.edges = NULL;
DrawOrGetDistance(order);
}
void Entity::GenerateEdges(SEdgeList *el) {
dogd.drawing = false;
dogd.edges = el;
DrawOrGetDistance(-1);
dogd.edges = NULL;
}
double Entity::GetDistance(Point2d mp) {
dogd.drawing = false;
dogd.edges = NULL;
dogd.mp = mp;
dogd.dmin = 1e12;
DrawOrGetDistance(-1);
return dogd.dmin;
}
void Entity::DrawOrGetDistance(int order) {
Group *g = SS.GetGroup(group);
// If an entity is invisible, then it doesn't get shown, and it doesn't
// contribute a distance for the selection, but it still generates edges.
if(!(g->visible) && !dogd.edges) return;
if(group.v != SS.GW.activeGroup.v) {
glxColor3d(0.5, 0.3, 0.0);
} else if(construction) {
glxColor3d(0.1, 0.7, 0.1);
} else {
glxColor3d(1, 1, 1);
}
switch(type) {
case POINT_XFRMD:
case POINT_IN_3D:
case POINT_IN_2D: {
if(order >= 0 && order != 2) break;
if(!SS.GW.showPoints) break;
if(h.isFromRequest()) {
Entity *isfor = SS.GetEntity(h.request().entity(0));
if(!SS.GW.showWorkplanes && isfor->type == Entity::WORKPLANE) {
break;
}
}
Vector v = PointGetNum();
if(dogd.drawing) {
double s = 3;
Vector r = SS.GW.projRight.ScaledBy(s/SS.GW.scale);
Vector d = SS.GW.projUp.ScaledBy(s/SS.GW.scale);
// The usual fudge, to make this appear in front.
Vector gn = SS.GW.projRight.Cross(SS.GW.projUp);
v = v.Plus(gn.ScaledBy(4/SS.GW.scale));
glxColor3d(0, 0.8, 0);
glBegin(GL_QUADS);
glxVertex3v(v.Plus (r).Plus (d));
glxVertex3v(v.Plus (r).Minus(d));
glxVertex3v(v.Minus(r).Minus(d));
glxVertex3v(v.Minus(r).Plus (d));
glEnd();
} else {
Point2d pp = SS.GW.ProjectPoint(v);
// Make a free point slightly easier to select, so that with
// coincident points, we select the free one.
dogd.dmin = pp.DistanceTo(dogd.mp) - 4;
}
break;
}
case NORMAL_IN_3D:
case NORMAL_IN_2D:
case NORMAL_XFRMD: {
if(order >= 0 && order != 2) break;
if(!SS.GW.showNormals) break;
hRequest hr = h.request();
double f = 0.5;
if(hr.v == Request::HREQUEST_REFERENCE_XY.v) {
glxColor3d(0, 0, f);
} else if(hr.v == Request::HREQUEST_REFERENCE_YZ.v) {
glxColor3d(f, 0, 0);
} else if(hr.v == Request::HREQUEST_REFERENCE_ZX.v) {
glxColor3d(0, f, 0);
} else {
glxColor3d(0, 0.4, 0.4);
}
Quaternion q = NormalGetNum();
Vector tail = SS.GetEntity(point[0])->PointGetNum();
Vector v = (q.RotationN()).WithMagnitude(50/SS.GW.scale);
Vector tip = tail.Plus(v);
LineDrawOrGetDistance(tail, tip);
v = v.WithMagnitude(12);
Vector axis = q.RotationV();
LineDrawOrGetDistance(tip, tip.Minus(v.RotatedAbout(axis, 0.6)));
LineDrawOrGetDistance(tip, tip.Minus(v.RotatedAbout(axis, -0.6)));
break;
}
case DISTANCE:
case DISTANCE_XFRMD:
// These are used only as data structures, nothing to display.
break;
case WORKPLANE: {
if(order >= 0 && order != 0) break;
if(!SS.GW.showWorkplanes) break;
Vector p;
p = SS.GetEntity(point[0])->PointGetNum();
Vector u = Normal()->NormalU();
Vector v = Normal()->NormalV();
double s = (min(SS.GW.width, SS.GW.height))*0.4/SS.GW.scale;
Vector us = u.ScaledBy(s);
Vector vs = v.ScaledBy(s);
Vector pp = p.Plus (us).Plus (vs);
Vector pm = p.Plus (us).Minus(vs);
Vector mm = p.Minus(us).Minus(vs);
Vector mp = p.Minus(us).Plus (vs);
glxColor3d(0, 0.3, 0.3);
LineDrawOrGetDistance(pp, pm);
LineDrawOrGetDistance(pm, mm);
LineDrawOrGetDistance(mm, mp);
LineDrawOrGetDistance(mp, pp);
if(dogd.drawing) {
glPushMatrix();
glxTranslatev(mm);
glxOntoWorkplane(u, v);
glxWriteText(DescriptionString());
glPopMatrix();
} else {
// If a line lies in a plane, then select the line, not
// the plane.
dogd.dmin += 3;
}
break;
}
case LINE_SEGMENT: {
if(order >= 0 && order != 1) break;
Vector a = SS.GetEntity(point[0])->PointGetNum();
Vector b = SS.GetEntity(point[1])->PointGetNum();
LineDrawOrGetDistanceOrEdge(a, b);
break;
}
case CUBIC: {
if(order >= 0 && order != 1) break;
Vector p0 = SS.GetEntity(point[0])->PointGetNum();
Vector p1 = SS.GetEntity(point[1])->PointGetNum();
Vector p2 = SS.GetEntity(point[2])->PointGetNum();
Vector p3 = SS.GetEntity(point[3])->PointGetNum();
int i, n = 20;
Vector prev = p0;
for(i = 1; i <= n; i++) {
double t = ((double)i)/n;
Vector p =
(p0.ScaledBy((1 - t)*(1 - t)*(1 - t))).Plus(
(p1.ScaledBy(3*t*(1 - t)*(1 - t))).Plus(
(p2.ScaledBy(3*t*t*(1 - t))).Plus(
(p3.ScaledBy(t*t*t)))));
LineDrawOrGetDistanceOrEdge(prev, p);
prev = p;
}
break;
}
case CIRCLE: {
if(order >= 0 && order != 1) break;
Quaternion q = SS.GetEntity(normal)->NormalGetNum();
double r = SS.GetEntity(distance)->DistanceGetNum();
Vector center = SS.GetEntity(point[0])->PointGetNum();
Vector u = q.RotationU(), v = q.RotationV();
int i, c = 20;
Vector prev = u.ScaledBy(r).Plus(center);
for(i = 1; i <= c; i++) {
double phi = (2*PI*i)/c;
Vector p = (u.ScaledBy(r*cos(phi))).Plus(
v.ScaledBy(r*sin(phi)));
p = p.Plus(center);
LineDrawOrGetDistanceOrEdge(prev, p);
prev = p;
}
break;
}
default:
oops();
}
}
void Entity::AddEq(IdList<Equation,hEquation> *l, Expr *expr, int index) {
Equation eq;
eq.e = expr;
eq.h = h.equation(index);
l->Add(&eq);
}
void Entity::GenerateEquations(IdList<Equation,hEquation> *l) {
switch(type) {
case NORMAL_IN_3D: {
ExprQuaternion q = NormalGetExprs();
AddEq(l, (q.Magnitude())->Minus(Expr::FromConstant(1)), 0);
break;
}
default:;
// Most entities do not generate equations.
}
}