811 lines
24 KiB
C++
811 lines
24 KiB
C++
#include "solvespace.h"
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char *Entity::DescriptionString(void) {
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if(h.isFromRequest()) {
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Request *r = SS.GetRequest(h.request());
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return r->DescriptionString();
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} else {
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Group *g = SS.GetGroup(h.group());
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return g->DescriptionString();
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}
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}
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bool Entity::HasVector(void) {
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switch(type) {
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case LINE_SEGMENT:
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case NORMAL_IN_3D:
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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case NORMAL_N_ROT:
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return true;
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default:
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return false;
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}
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}
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ExprVector Entity::VectorGetExprs(void) {
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switch(type) {
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case LINE_SEGMENT:
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return (SS.GetEntity(point[0])->PointGetExprs()).Minus(
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SS.GetEntity(point[1])->PointGetExprs());
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case NORMAL_IN_3D:
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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case NORMAL_N_ROT:
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return NormalExprsN();
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default: oops();
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}
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}
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Vector Entity::VectorGetNum(void) {
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switch(type) {
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case LINE_SEGMENT:
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return (SS.GetEntity(point[0])->PointGetNum()).Minus(
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SS.GetEntity(point[1])->PointGetNum());
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case NORMAL_IN_3D:
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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case NORMAL_N_ROT:
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return NormalN();
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default: oops();
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}
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}
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Vector Entity::VectorGetRefPoint(void) {
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switch(type) {
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case LINE_SEGMENT:
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return ((SS.GetEntity(point[0])->PointGetNum()).Plus(
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SS.GetEntity(point[1])->PointGetNum())).ScaledBy(0.5);
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case NORMAL_IN_3D:
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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case NORMAL_N_ROT:
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return SS.GetEntity(point[0])->PointGetNum();
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default: oops();
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}
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}
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bool Entity::IsCircle(void) {
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return (type == CIRCLE);
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}
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Expr *Entity::CircleGetRadiusExpr(void) {
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if(type == CIRCLE) {
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return SS.GetEntity(distance)->DistanceGetExpr();
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} else if(type == ARC_OF_CIRCLE) {
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return Constraint::Distance(workplane, point[0], point[1]);
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} else oops();
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}
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double Entity::CircleGetRadiusNum(void) {
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if(type == CIRCLE) {
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return SS.GetEntity(distance)->DistanceGetNum();
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} else if(type == ARC_OF_CIRCLE) {
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Vector c = SS.GetEntity(point[0])->PointGetNum();
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Vector pa = SS.GetEntity(point[1])->PointGetNum();
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return (pa.Minus(c)).Magnitude();
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} else oops();
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}
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void Entity::ArcGetAngles(double *thetaa, double *thetab, double *dtheta) {
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if(type != ARC_OF_CIRCLE) oops();
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Quaternion q = Normal()->NormalGetNum();
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Vector u = q.RotationU(), v = q.RotationV();
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Vector c = SS.GetEntity(point[0])->PointGetNum();
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Vector pa = SS.GetEntity(point[1])->PointGetNum();
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Vector pb = SS.GetEntity(point[2])->PointGetNum();
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Point2d c2 = c.Project2d(u, v);
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Point2d pa2 = (pa.Project2d(u, v)).Minus(c2);
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Point2d pb2 = (pb.Project2d(u, v)).Minus(c2);
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*thetaa = atan2(pa2.y, pa2.x);
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*thetab = atan2(pb2.y, pb2.x);
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*dtheta = *thetab - *thetaa;
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while(*dtheta < 0) *dtheta += 2*PI;
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while(*dtheta > (2*PI)) *dtheta -= 2*PI;
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}
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bool Entity::IsWorkplane(void) {
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return (type == WORKPLANE);
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}
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ExprVector Entity::WorkplaneGetOffsetExprs(void) {
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return SS.GetEntity(point[0])->PointGetExprs();
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}
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Vector Entity::WorkplaneGetOffset(void) {
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return SS.GetEntity(point[0])->PointGetNum();
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}
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void Entity::WorkplaneGetPlaneExprs(ExprVector *n, Expr **dn) {
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if(type == WORKPLANE) {
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*n = Normal()->NormalExprsN();
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ExprVector p0 = SS.GetEntity(point[0])->PointGetExprs();
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// The plane is n dot (p - p0) = 0, or
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// n dot p - n dot p0 = 0
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// so dn = n dot p0
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*dn = p0.Dot(*n);
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} else {
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oops();
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}
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}
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double Entity::DistanceGetNum(void) {
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if(type == DISTANCE) {
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return SS.GetParam(param[0])->val;
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} else if(type == DISTANCE_N_COPY) {
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return numDistance;
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} else oops();
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}
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Expr *Entity::DistanceGetExpr(void) {
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if(type == DISTANCE) {
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return Expr::FromParam(param[0]);
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} else if(type == DISTANCE_N_COPY) {
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return Expr::FromConstant(numDistance);
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} else oops();
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}
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void Entity::DistanceForceTo(double v) {
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if(type == DISTANCE) {
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(SS.GetParam(param[0]))->val = v;
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} else if(type == DISTANCE_N_COPY) {
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// do nothing, it's locked
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} else oops();
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}
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Entity *Entity::Normal(void) {
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return SS.GetEntity(normal);
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}
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bool Entity::IsPoint(void) {
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switch(type) {
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case POINT_IN_3D:
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case POINT_IN_2D:
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case POINT_N_COPY:
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case POINT_N_TRANS:
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case POINT_N_ROT_TRANS:
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return true;
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default:
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return false;
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}
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}
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bool Entity::IsNormal(void) {
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switch(type) {
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case NORMAL_IN_3D:
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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case NORMAL_N_ROT:
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return true;
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default: return false;
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}
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}
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Quaternion Entity::NormalGetNum(void) {
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Quaternion q;
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switch(type) {
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case NORMAL_IN_3D:
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q.w = SS.GetParam(param[0])->val;
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q.vx = SS.GetParam(param[1])->val;
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q.vy = SS.GetParam(param[2])->val;
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q.vz = SS.GetParam(param[3])->val;
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break;
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case NORMAL_IN_2D: {
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Entity *wrkpl = SS.GetEntity(workplane);
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Entity *norm = SS.GetEntity(wrkpl->normal);
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q = norm->NormalGetNum();
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break;
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}
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case NORMAL_N_COPY:
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q = numNormal;
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break;
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case NORMAL_N_ROT:
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q.w = SS.GetParam(param[0])->val;
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q.vx = SS.GetParam(param[1])->val;
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q.vy = SS.GetParam(param[2])->val;
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q.vz = SS.GetParam(param[3])->val;
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q = q.Times(numNormal);
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break;
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default: oops();
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}
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return q;
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}
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void Entity::NormalForceTo(Quaternion q) {
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switch(type) {
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case NORMAL_IN_3D:
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SS.GetParam(param[0])->val = q.w;
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SS.GetParam(param[1])->val = q.vx;
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SS.GetParam(param[2])->val = q.vy;
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SS.GetParam(param[3])->val = q.vz;
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break;
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case NORMAL_IN_2D:
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case NORMAL_N_COPY:
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// There's absolutely nothing to do; these are locked.
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break;
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case NORMAL_N_ROT:
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break;
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default: oops();
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}
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}
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Vector Entity::NormalU(void) {
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return NormalGetNum().RotationU();
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}
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Vector Entity::NormalV(void) {
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return NormalGetNum().RotationV();
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}
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Vector Entity::NormalN(void) {
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return NormalGetNum().RotationN();
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}
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ExprVector Entity::NormalExprsU(void) {
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return NormalGetExprs().RotationU();
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}
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ExprVector Entity::NormalExprsV(void) {
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return NormalGetExprs().RotationV();
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}
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ExprVector Entity::NormalExprsN(void) {
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return NormalGetExprs().RotationN();
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}
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ExprQuaternion Entity::NormalGetExprs(void) {
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ExprQuaternion q;
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switch(type) {
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case NORMAL_IN_3D:
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q.w = Expr::FromParam(param[0]);
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q.vx = Expr::FromParam(param[1]);
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q.vy = Expr::FromParam(param[2]);
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q.vz = Expr::FromParam(param[3]);
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break;
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case NORMAL_IN_2D: {
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Entity *wrkpl = SS.GetEntity(workplane);
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Entity *norm = SS.GetEntity(wrkpl->normal);
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q = norm->NormalGetExprs();
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break;
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}
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case NORMAL_N_COPY:
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q.w = Expr::FromConstant(numNormal.w);
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q.vx = Expr::FromConstant(numNormal.vx);
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q.vy = Expr::FromConstant(numNormal.vy);
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q.vz = Expr::FromConstant(numNormal.vz);
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break;
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case NORMAL_N_ROT: {
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ExprQuaternion orig;
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orig.w = Expr::FromConstant(numNormal.w);
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orig.vx = Expr::FromConstant(numNormal.vx);
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orig.vy = Expr::FromConstant(numNormal.vy);
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orig.vz = Expr::FromConstant(numNormal.vz);
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q.w = Expr::FromParam(param[0]);
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q.vx = Expr::FromParam(param[1]);
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q.vy = Expr::FromParam(param[2]);
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q.vz = Expr::FromParam(param[3]);
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q = q.Times(orig);
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break;
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}
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default: oops();
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}
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return q;
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}
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bool Entity::PointIsFromReferences(void) {
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return h.request().IsFromReferences();
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}
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void Entity::PointForceTo(Vector p) {
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switch(type) {
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case POINT_IN_3D:
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SS.GetParam(param[0])->val = p.x;
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SS.GetParam(param[1])->val = p.y;
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SS.GetParam(param[2])->val = p.z;
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break;
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case POINT_IN_2D: {
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Entity *c = SS.GetEntity(workplane);
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p = p.Minus(c->WorkplaneGetOffset());
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SS.GetParam(param[0])->val = p.Dot(c->Normal()->NormalU());
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SS.GetParam(param[1])->val = p.Dot(c->Normal()->NormalV());
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break;
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}
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case POINT_N_TRANS: {
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Vector trans = p.Minus(numPoint);
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SS.GetParam(param[0])->val = trans.x;
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SS.GetParam(param[1])->val = trans.y;
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SS.GetParam(param[2])->val = trans.z;
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break;
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}
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case POINT_N_ROT_TRANS: {
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// Force only the translation; leave the rotation unchanged. But
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// remember that we're working with respect to the rotated
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// point.
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Vector trans = p.Minus(PointGetQuaternion().Rotate(numPoint));
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SS.GetParam(param[0])->val = trans.x;
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SS.GetParam(param[1])->val = trans.y;
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SS.GetParam(param[2])->val = trans.z;
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break;
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}
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case POINT_N_COPY:
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// Nothing to do; it's a static copy
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break;
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default: oops();
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}
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}
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Vector Entity::PointGetNum(void) {
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Vector p;
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switch(type) {
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case POINT_IN_3D:
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p.x = SS.GetParam(param[0])->val;
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p.y = SS.GetParam(param[1])->val;
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p.z = SS.GetParam(param[2])->val;
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break;
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case POINT_IN_2D: {
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Entity *c = SS.GetEntity(workplane);
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Vector u = c->Normal()->NormalU();
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Vector v = c->Normal()->NormalV();
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p = u.ScaledBy(SS.GetParam(param[0])->val);
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p = p.Plus(v.ScaledBy(SS.GetParam(param[1])->val));
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p = p.Plus(c->WorkplaneGetOffset());
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break;
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}
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case POINT_N_TRANS: {
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p = numPoint;
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p.x += SS.GetParam(param[0])->val;
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p.y += SS.GetParam(param[1])->val;
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p.z += SS.GetParam(param[2])->val;
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break;
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}
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case POINT_N_ROT_TRANS: {
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Vector offset = Vector::MakeFrom(
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SS.GetParam(param[0])->val,
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SS.GetParam(param[1])->val,
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SS.GetParam(param[2])->val);
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Quaternion q = PointGetQuaternion();
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p = q.Rotate(numPoint);
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p = p.Plus(offset);
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break;
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}
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case POINT_N_COPY:
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p = numPoint;
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break;
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default: oops();
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}
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return p;
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}
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ExprVector Entity::PointGetExprs(void) {
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ExprVector r;
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switch(type) {
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case POINT_IN_3D:
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r.x = Expr::FromParam(param[0]);
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r.y = Expr::FromParam(param[1]);
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r.z = Expr::FromParam(param[2]);
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break;
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case POINT_IN_2D: {
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Entity *c = SS.GetEntity(workplane);
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ExprVector u = c->Normal()->NormalExprsU();
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ExprVector v = c->Normal()->NormalExprsV();
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r = c->WorkplaneGetOffsetExprs();
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r = r.Plus(u.ScaledBy(Expr::FromParam(param[0])));
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r = r.Plus(v.ScaledBy(Expr::FromParam(param[1])));
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break;
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}
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case POINT_N_TRANS: {
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ExprVector orig = {
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Expr::FromConstant(numPoint.x),
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Expr::FromConstant(numPoint.y),
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Expr::FromConstant(numPoint.z) };
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ExprVector trans;
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trans.x = Expr::FromParam(param[0]);
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trans.y = Expr::FromParam(param[1]);
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trans.z = Expr::FromParam(param[2]);
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r = orig.Plus(trans);
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break;
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}
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case POINT_N_ROT_TRANS: {
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ExprVector orig = {
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Expr::FromConstant(numPoint.x),
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Expr::FromConstant(numPoint.y),
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Expr::FromConstant(numPoint.z) };
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ExprVector trans = {
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Expr::FromParam(param[0]),
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Expr::FromParam(param[1]),
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Expr::FromParam(param[2]) };
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ExprQuaternion q = {
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Expr::FromParam(param[3]),
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Expr::FromParam(param[4]),
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Expr::FromParam(param[5]),
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Expr::FromParam(param[6]) };
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orig = q.Rotate(orig);
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r = orig.Plus(trans);
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break;
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}
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case POINT_N_COPY:
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r.x = Expr::FromConstant(numPoint.x);
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r.y = Expr::FromConstant(numPoint.y);
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r.z = Expr::FromConstant(numPoint.z);
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break;
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default: oops();
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}
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return r;
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}
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void Entity::PointGetExprsInWorkplane(hEntity wrkpl, Expr **u, Expr **v) {
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if(type == POINT_IN_2D && workplane.v == wrkpl.v) {
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// They want our coordinates in the form that we've written them,
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// very nice.
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*u = Expr::FromParam(param[0]);
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*v = Expr::FromParam(param[1]);
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} else {
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// Get the offset and basis vectors for this weird exotic csys.
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Entity *w = SS.GetEntity(wrkpl);
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ExprVector wp = w->WorkplaneGetOffsetExprs();
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ExprVector wu = w->Normal()->NormalExprsU();
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ExprVector wv = w->Normal()->NormalExprsV();
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// Get our coordinates in three-space, and project them into that
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// coordinate system.
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ExprVector ev = PointGetExprs();
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ev = ev.Minus(wp);
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*u = ev.Dot(wu);
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*v = ev.Dot(wv);
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}
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}
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void Entity::PointForceQuaternionTo(Quaternion q) {
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if(type != POINT_N_ROT_TRANS) oops();
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SS.GetParam(param[3])->val = q.w;
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SS.GetParam(param[4])->val = q.vx;
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SS.GetParam(param[5])->val = q.vy;
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SS.GetParam(param[6])->val = q.vz;
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}
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Quaternion Entity::PointGetQuaternion(void) {
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if(type != POINT_N_ROT_TRANS) oops();
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Quaternion q;
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q.w = SS.GetParam(param[3])->val;
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q.vx = SS.GetParam(param[4])->val;
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q.vy = SS.GetParam(param[5])->val;
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q.vz = SS.GetParam(param[6])->val;
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return q;
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}
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void Entity::LineDrawOrGetDistance(Vector a, Vector b) {
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if(dogd.drawing) {
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// This fudge guarantees that the line will get drawn in front of
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// anything else at the "same" depth in the z-buffer, so that it
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// goes in front of the shaded stuff.
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Vector n = SS.GW.projRight.Cross(SS.GW.projUp);
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n = n.WithMagnitude(3/SS.GW.scale);
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glBegin(GL_LINE_STRIP);
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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_N_COPY:
|
|
case POINT_N_TRANS:
|
|
case POINT_N_ROT_TRANS:
|
|
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_N_COPY:
|
|
case NORMAL_N_ROT:
|
|
case NORMAL_IN_3D:
|
|
case NORMAL_IN_2D: {
|
|
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/SS.GW.scale);
|
|
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_N_COPY:
|
|
// 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);
|
|
glEnable(GL_LINE_STIPPLE);
|
|
glLineStipple(3, 0x1111);
|
|
LineDrawOrGetDistance(pp, pm);
|
|
LineDrawOrGetDistance(pm, mm);
|
|
LineDrawOrGetDistance(mm, mp);
|
|
LineDrawOrGetDistance(mp, pp);
|
|
glDisable(GL_LINE_STIPPLE);
|
|
|
|
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 ARC_OF_CIRCLE: {
|
|
if(order >= 0 && order != 1) break;
|
|
Vector c = SS.GetEntity(point[0])->PointGetNum();
|
|
Vector pa = SS.GetEntity(point[1])->PointGetNum();
|
|
Vector pb = SS.GetEntity(point[2])->PointGetNum();
|
|
Quaternion q = SS.GetEntity(normal)->NormalGetNum();
|
|
Vector u = q.RotationU(), v = q.RotationV();
|
|
|
|
double ra = (pa.Minus(c)).Magnitude();
|
|
double rb = (pb.Minus(c)).Magnitude();
|
|
|
|
double thetaa, thetab, dtheta;
|
|
ArcGetAngles(&thetaa, &thetab, &dtheta);
|
|
|
|
int i, n = (int)((40*dtheta)/(2*PI));
|
|
Vector prev = pa;
|
|
for(i = 1; i <= n; i++) {
|
|
double theta = thetaa + (dtheta*i)/n;
|
|
double r = ra + ((rb - ra)*i)/n;
|
|
Vector d = u.ScaledBy(cos(theta)).Plus(v.ScaledBy(sin(theta)));
|
|
Vector p = c.Plus(d.ScaledBy(r));
|
|
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 = 40;
|
|
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;
|
|
}
|
|
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(SS.GetEntity(point[0])->type == POINT_IN_2D) {
|
|
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.
|
|
}
|
|
}
|
|
|
|
|