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// Copyright Nick Thompson, 2021 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt // or copy at http://www.boost.org/LICENSE_1_0.txt) // This implements bilinear interpolation on a uniform grid. // If dx and dy are both positive, then the (x,y) = (x0, y0) is associated with data index 0 (herein referred to as f[0]) // The point (x0 + dx, y0) is associated with f[1], and (x0 + i*dx, y0) is associated with f[i], // i.e., we are assuming traditional C row major order. // The y coordinate increases *downward*, as is traditional in 2D computer graphics. // This is *not* how people generally think in numerical analysis (although it *is* how they lay out matrices). // Providing the capability of a grid rotation is too expensive and not ergonomic; you'll need to perform any rotations at the call level. // For clarity, the value f(x0 + i*dx, y0 + j*dy) must be stored in the f[j*cols + i] position. #ifndef BOOST_MATH_INTERPOLATORS_BILINEAR_UNIFORM_HPP #define BOOST_MATH_INTERPOLATORS_BILINEAR_UNIFORM_HPP #include #include #include namespace boost::math::interpolators { template class bilinear_uniform { public: using Real = typename RandomAccessContainer::value_type; using Z = typename RandomAccessContainer::size_type; bilinear_uniform(RandomAccessContainer && fieldData, Z rows, Z cols, Real dx = 1, Real dy = 1, Real x0 = 0, Real y0 = 0) : m_imp(std::make_shared>(std::move(fieldData), rows, cols, dx, dy, x0, y0)) { } Real operator()(Real x, Real y) const { return m_imp->operator()(x,y); } friend std::ostream& operator<<(std::ostream& out, bilinear_uniform const & bu) { out << *bu.m_imp; return out; } private: std::shared_ptr> m_imp; }; } #endif