127 lines
2.9 KiB
C++
127 lines
2.9 KiB
C++
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#ifndef __SURFACE_H
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#define __SURFACE_H
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// Utility functions, Bernstein polynomials of order 1-3 and their derivatives.
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double Bernstein(int k, int deg, double t);
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double BernsteinDerivative(int k, int deg, double t);
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class hSSurface {
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public:
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DWORD v;
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};
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class hSCurve {
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public:
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DWORD v;
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};
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// Stuff for rational polynomial curves, of degree one to three. These are
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// our inputs.
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class SBezier {
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public:
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int tag;
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int deg;
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Vector ctrl[4];
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double weight[4];
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Vector PointAt(double t);
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Vector Start(void);
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Vector Finish(void);
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void MakePwlInto(List<Vector> *l);
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void MakePwlWorker(List<Vector> *l, double ta, double tb);
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void Reverse(void);
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static SBezier From(Vector p0, Vector p1, Vector p2, Vector p3);
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static SBezier From(Vector p0, Vector p1, Vector p2);
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static SBezier From(Vector p0, Vector p1);
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};
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class SBezierList {
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public:
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List<SBezier> l;
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void Clear(void);
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};
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class SBezierLoop {
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public:
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List<SBezier> l;
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inline void Clear(void) { l.Clear(); }
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void Reverse(void);
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void MakePwlInto(SContour *sc);
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static SBezierLoop FromCurves(SBezierList *spcl,
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bool *allClosed, SEdge *errorAt);
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};
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class SBezierLoopSet {
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public:
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List<SBezierLoop> l;
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Vector normal;
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static SBezierLoopSet From(SBezierList *spcl, SPolygon *poly,
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bool *allClosed, SEdge *errorAt);
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void Clear(void);
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};
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// Stuff for the surface trim curves: piecewise linear
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class SCurve {
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public:
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hSCurve h;
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SBezier exact; // or deg = 0 if we don't know the exact form
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List<Vector> pts;
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hSSurface srfA;
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hSSurface srfB;
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};
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// A segment of a curve by which a surface is trimmed: indicates which curve,
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// by its handle, and the starting and ending points of our segment of it.
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// The vector out points out of the surface; it, the surface outer normal,
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// and a tangent to the beginning of the curve are all orthogonal.
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class STrimBy {
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public:
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hSCurve curve;
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Vector start;
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Vector finish;
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Vector out;
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};
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class SSurface {
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public:
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hSSurface h;
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int degm, degn;
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Vector ctrl[4][4];
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double weight[4][4];
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List<STrimBy> trim;
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static SSurface FromExtrusionOf(SBezier *spc, Vector t0, Vector t1);
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void ClosestPointTo(Vector p, double *u, double *v);
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Vector PointAt(double u, double v);
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Vector TangentWrtUAt(double u, double v);
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Vector TangentWrtVAt(double u, double v);
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Vector NormalAt(double u, double v);
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void TriangulateInto(SMesh *sm);
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};
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class SShell {
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public:
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IdList<SCurve,hSCurve> curve;
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IdList<SSurface,hSSurface> surface;
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static SShell FromExtrusionOf(SBezierList *spcl, Vector t0, Vector t1);
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static SShell FromUnionOf(SShell *a, SShell *b);
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};
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#endif
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