86 lines
2.3 KiB
C++
86 lines
2.3 KiB
C++
/*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* Copyright 2015-2016 Danny Robson <danny@nerdcruft.net>
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*/
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#ifndef __UTIL_BEZIER_HPP
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#define __UTIL_BEZIER_HPP
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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 util {
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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 util::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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util::vector2f tangent (float t) const;
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// 1st derivative w.r.t. t
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util::vector2f d1 (float t) const noexcept;
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// 2nd derivative w.r.t. t
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util::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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template <size_t N>
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std::ostream& operator<< (std::ostream&, const bezier<N>&);
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}
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#endif
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