78 lines
2.1 KiB
C++
78 lines
2.1 KiB
C++
/*
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* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/.
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*
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* Copyright 2015-2016 Danny Robson <danny@nerdcruft.net>
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*/
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#pragma once
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#include "point.hpp"
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#include "region.hpp"
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#include <iosfwd>
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namespace cruft {
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struct sdot_t {
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float distance;
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float dot;
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};
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template <size_t N>
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class bezier {
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public:
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using value_type = point2f::value_type;
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bezier (const cruft::point2f (&)[N+1]);
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point2f eval (float t) const;
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// Calculate the expanded polynomial coeffecients in terms of t
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std::array<vector2f,N+1>
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coeffs (void) const;
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size_t intersections (point2f from, point2f to) const;
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cruft::vector2f tangent (float t) const;
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// 1st derivative w.r.t. t
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cruft::vector2f d1 (float t) const noexcept;
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// 2nd derivative w.r.t. t
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cruft::vector2f d2 (float t) const noexcept;
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float closest (point2f) const noexcept;
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sdot_t sdot (point2f) const noexcept;
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float sdistance2 (point2f) const noexcept;
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float sdistance (point2f) const noexcept;
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float distance2 (point2f) const noexcept;
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float distance (point2f) const noexcept;
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region2f region (void) const;
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point2f& operator[] (size_t idx);
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const point2f& operator[] (size_t idx) const;
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const point2f* begin (void) const;
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const point2f* end (void) const;
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const point2f* cbegin (void) const;
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const point2f* cend (void) const;
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private:
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// HACK: allow easy access to component-wise arithmetic using
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// vector2f rather than point2f in the implementation.
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union {
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point2f m_points[N+1];
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vector2f m_coeffs[N+1];
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};
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};
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using bezier1 = bezier<1>;
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using bezier2 = bezier<2>;
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using bezier3 = bezier<3>;
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template <size_t N>
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std::ostream& operator<< (std::ostream&, const bezier<N>&);
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} |