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96 lines
2.2 KiB
96 lines
2.2 KiB
5 months ago
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#pragma once
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#include "TinyVector.h"
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#include <vector>
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#include <cmath>
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template <typename Real>
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class ImplicitFunc
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{
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public:
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ImplicitFunc()
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{}
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virtual ~ImplicitFunc() {}
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virtual bool is_inside(const TinyVector<Real, 3>& p, const Real _isovalue = 0) const
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{
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return false;
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}
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virtual Real scalar_value(const TinyVector<Real, 3>& p) const
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{
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return 0;
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}
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virtual void gradient(const TinyVector<Real, 3>& p, TinyVector<Real, 3>& gradient) const
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{
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}
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bool directed_distance(const TinyVector<Real, 3>& _p0,
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const TinyVector<Real, 3>& _p1,
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TinyVector<Real, 3>& _point,
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TinyVector<Real, 3>& _normal,
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Real& _distance,
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const Real _isovalue = 0) const
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{
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TinyVector<Real, 3> world_start = _p0, world_end = _p1;
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Real fstart = scalar_value(world_start) - _isovalue, fend = scalar_value(world_end) - _isovalue;
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Real store_f = fstart;
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//recursive bisection
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int iter = 0;
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int max_iter = 15; Real threshold = (Real)1.0e-8;
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Real value = 0;
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while (iter < max_iter)
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{
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Real s0 = fabs(fstart);
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Real s1 = fabs(fend);
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Real t = s0 / (s0 + s1);
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_point = (1.0f - t) * world_start + t * world_end;
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value = scalar_value(_point) - _isovalue;
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if (fabs(value) < threshold)
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{
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break;
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}
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else
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{
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if (value * fstart < 0)
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{
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world_end = _point;
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fend = value;
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}
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else if (value * fend < 0)
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{
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world_start = _point;
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fstart = value;
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}
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else
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{
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//the case should not happen
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break;
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}
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}
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iter++;
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}
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///////////////////
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gradient(_point, _normal);
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_normal.Normalize();
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_distance = store_f < 0 ? -(_point - world_start).Length() : (_point - world_start).Length();
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return true;
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}
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////////////////////////////////////
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virtual void directed_distance(
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const std::vector<TinyVector<Real, 3>>& _p0vec,
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const std::vector<TinyVector<Real, 3>>& _p1vec,
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const std::vector<Real>& _p0vec_values,
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const std::vector<Real>& _p1vec_values,
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std::vector<TinyVector<Real, 3>>& _point,
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std::vector<TinyVector<Real, 3>>& _normal,
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const Real _isovalue = 0) const
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{
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}
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////////////////////////////////////
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virtual void scalar_value(
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const std::vector<TinyVector<Real, 3>>& pvec,
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std::vector<Real>& vec_values) const
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{
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}
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};
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