#pragma once #include #include #include #include class ISolid { public: virtual ~ISolid() = default; virtual real sdf(const Vec3 &p) = 0; }; Vec2 get2DRepOf3DPt(const Vec3 &pt3D, const Vec3 &u, const Vec3 &v, const Vec3 &localO) { Vec3 OP = pt3D - localO; return {OP.dot(u), OP.dot(v)}; } class IExtrudedSolid : public ISolid { public: Polyline _profile; real _rScale; public: IExtrudedSolid(Polyline profile, real rScale) : _profile(std::move(profile)), _rScale(rScale) { } }; /** * calculate winding number of a point w.r.t. a segment ab */ real unsignedWindingNumberSegment(const Vec3 &p, const Vec3 &a, const Vec3 &b, const Vec3 &refNormal) { Vec3 pa = a - p; Vec3 pb = b - p; return std::acos(std::clamp(pa.dot(pb) / (pa.norm() * pb.norm()), static_cast(-1.), static_cast(1.))) / (std::numbers::pi * 2); } class ExtrudedSolidPolyline : public IExtrudedSolid { private: Polyline _axis; Pt2Array _localProfile2D; Pt2Array _localCircleCenter2D; public: ExtrudedSolidPolyline(Polyline profile, Polyline axis, real rScale) : IExtrudedSolid(std::move(profile), rScale), _axis(std::move(axis)) { assert(_profile.isClosed()); // TODO: project profile at st point to 2D Vec3 T = _axis.der1(0).normalize(); Vec3 N = _axis.der2(0).normalize(); Vec3 B = T.cross(N); Vec3 Q = _axis.eval(0); for (int i = 0; i < _profile.getPoints().size(); ++i) { _localProfile2D.emplace_back(get2DRepOf3DPt(_profile.getPoints()[i] - Q, N, B, Q)); _localCircleCenter2D.emplace_back(get2DRepOf3DPt(_profile.getCircularArcs()[i].center - Q, N, B, Q)); } } real sdf(const Vec3 &p) override { ClosestDescOnSeg closestDesc = _axis.getClosestParam(p); // TNB coordinate system auto t = closestDesc.t; Vec3 T = _axis.der1(t).normalize(); Vec3 N = _axis.der2(t).normalize(); Vec3 B = T.cross(N); Vec3 Q = _axis.eval(t); Vec3 QP = p - Q; auto uv = get2DRepOf3DPt(QP, N, B, Q); //test it { } // TODO: to test if uv is in _localProfile2D for (auto i = 0; i < _localProfile2D.size(); ++i) { } return 0; } private: /** * in + in = out * in + out = in * out + in = in * out + out = out */ bool isInside2DPolyline(const Polyline& outline, const Vec3& p3D, const Vec2& p2D) { assert(outline.isClosed()); int intersectionCount = 0, segCount = outline.getBugles().size(); int onSegIdx = -1; constexpr int numRays = 3; // 射线数量 int majorityIn = 0; // 在多边形内的射线计数 int majorityOut = 0; // 在多边形外的射线计数 for (int rayIdx = 0; rayIdx < numRays && onSegIdx == -1; ++rayIdx) { double angle = (2.0 * std::numbers::pi * rayIdx) / numRays; Vec2 rayDir(cos(angle), sin(angle)); int crossings = 0; for (int i = 0; i < segCount; ++i) { const Vec2 &a = _localProfile2D[i]; const Vec2 &b = _localProfile2D[(i + 1) % segCount]; if (isPointOnSegment(p2D, a, b)) { onSegIdx = i; break; } // 使用向量方法计算射线和边的交点 double dx1 = b[0] - a[0]; double dy1 = b[1] - a[1]; double dx2 = rayDir[0]; double dy2 = rayDir[1]; double determinant = dx1 * dy2 - dy1 * dx2; // 如果determinant为0,则射线和边平行,不计算交点 if (isEqual(determinant, 0)) continue; double t1 = ((p2D[0] - a[0]) * dy2 - (p2D[1] - a[1]) * dx2) / determinant; double t2 = ((p2D[0] - a[0]) * dy1 - (p2D[1] - a[1]) * dx1) / determinant; // 检查交点是否在边上(0 <= t1 <= 1)且射线上(t2 >= 0) if (t1 >= 0 && t1 <= 1 && t2 >= 0) { crossings++; } } if (crossings % 2 == 0) { majorityOut++; } else { majorityIn++; } } // 判断是否在扇内 bool inFan = false; for (int i = 0; i < segCount; ++i) { const Vec2& a = _localProfile2D[i]; const Vec2& b = _localProfile2D[(i + 1) % segCount]; real po = (p2D - _localCircleCenter2D[i]).norm(); if (po == _profile.getCircularArcs()[i].radius) { // TODO } if ((po < _profile.getCircularArcs()[i].radius) { if ((p2D - a).dot(b - a) > 0) { inFan = true; break; } } } } bool isPointOnSegment(const Vec2 &p, const Vec2 &a, const Vec2 &b) { // check collinearity double crossProduct = (p[1] - a[1]) * (b[0] - a[0]) - (p[0] - a[0]) * (b[1] - a[1]); if (!isEqual(crossProduct, 0)) return false; // Not collinear // Check if point is within segment bounds return (p[0] >= std::min(a[0], b[0]) && p[0] <= std::max(a[0], b[0]) && p[1] >= std::min(a[1], b[1]) && p[1] <= std::max(a[1], b[1])); } real wnCircularArc(const Vec3 &p, const Vec3 &a, const Vec3 &b, const Vec3 &plgNormal, const Polyline::CircularArc &arc, int dir) { Vec3 pa = a - p; Vec3 pb = b - p; real wn = std::acos(std::clamp(pa.dot(pb) / (pa.norm() * pb.norm()), static_cast(-1.), static_cast(1.))) / (std::numbers::pi * 2); auto inOutCircle = arc.inCircleCheck(p); if (inOutCircle == PtBoundaryRelation::Outside || pa.cross(pb).dot(plgNormal) < 0) { // outside // pa.cross(pb).dot(plgNormal) 不会 == 0 return -wn * dir; } if (inOutCircle == PtBoundaryRelation::Inside) { return wn * dir; } return 0; } }; class ExtrudedSolidPolynomialLine : public IExtrudedSolid { protected: PolynomialLine _axis; };