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104 lines
2.3 KiB
C++
104 lines
2.3 KiB
C++
#ifndef NETGEN_FINDIP2_HPP
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#define NETGEN_FINDIP2_HPP
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// find inner point
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namespace netgen
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{
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template <typename POINTArray, typename FACEArray>
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inline int FindInnerPoint2 (POINTArray & points,
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FACEArray & faces,
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Point3d & p)
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{
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static int timer = NgProfiler::CreateTimer ("FindInnerPoint2");
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NgProfiler::RegionTimer reg (timer);
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NgArray<Vec3d> a;
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NgArray<double> c;
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Mat<3> m, inv;
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Vec<3> rs, x, pmin;
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int nf = faces.Size();
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a.SetSize (nf);
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c.SetSize (nf);
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for (int i = 0; i < nf; i++)
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{
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Point3d p1 = points.Get(faces[i][0]);
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a[i] = Cross (points.Get(faces[i][1]) - p1,
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points.Get(faces[i][2]) - p1);
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a[i] /= a[i].Length();
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c[i] = - (a[i].X() * p1.X() + a[i].Y() * p1.Y() + a[i].Z() * p1.Z());
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}
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x = 0;
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double hmax = 0;
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for (int i = 0; i < nf; i++)
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{
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const Element2d & el = faces[i];
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for (int j = 1; j <= 3; j++)
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{
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double hi = Dist (points.Get(el.PNumMod(j)),
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points.Get(el.PNumMod(j+1)));
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if (hi > hmax) hmax = hi;
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}
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}
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double fmin = 0;
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for (int i1 = 1; i1 <= nf; i1++)
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for (int i2 = i1+1; i2 <= nf; i2++)
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for (int i3 = i2+1; i3 <= nf; i3++)
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for (int i4 = i3+1; i4 <= nf; i4++)
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{
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m(0, 0) = a.Get(i1).X() - a.Get(i2).X();
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m(0, 1) = a.Get(i1).Y() - a.Get(i2).Y();
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m(0, 2) = a.Get(i1).Z() - a.Get(i2).Z();
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rs(0) = c.Get(i2) - c.Get(i1);
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m(1, 0) = a.Get(i1).X() - a.Get(i3).X();
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m(1, 1) = a.Get(i1).Y() - a.Get(i3).Y();
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m(1, 2) = a.Get(i1).Z() - a.Get(i3).Z();
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rs(1) = c.Get(i3) - c.Get(i1);
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m(2, 0) = a.Get(i1).X() - a.Get(i4).X();
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m(2, 1) = a.Get(i1).Y() - a.Get(i4).Y();
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m(2, 2) = a.Get(i1).Z() - a.Get(i4).Z();
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rs(2) = c.Get(i4) - c.Get(i1);
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if (fabs (Det (m)) > 1e-10)
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{
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CalcInverse (m, inv);
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x = inv * rs;
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double f = -1e10;
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for (int i = 0; i < nf; i++)
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{
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double hd =
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x(0) * a[i].X() + x(1) * a[i].Y() + x(2) * a[i].Z() + c[i];
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if (hd > f) f = hd;
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if (hd > fmin) break;
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}
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if (f < fmin)
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{
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fmin = f;
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pmin = x;
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}
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}
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}
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p = Point3d (pmin(0), pmin(1), pmin(2));
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(*testout) << "fmin = " << fmin << endl;
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return (fmin < -1e-3 * hmax);
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}
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} // namespace netgen
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#endif // NETGEN_FINDIP2_HPP
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