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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2016 Vivid Solutions Inc. * Copyright (C) 2023 ISciences LLC * * This is free software; you can redistribute and/or modify it under * the terms of the GNU Lesser General Public Licence as published * by the Free Software Foundation. * See the COPYING file for more information. * **********************************************************************/ #pragma once #include #include #include namespace geos { namespace algorithm { class GEOS_DLL Interpolate { private: template static double interpolate(const geom::CoordinateXY& p, const CoordType& p1, const CoordType& p2) { double p1z = p1.template get(); double p2z = p2.template get(); if (std::isnan(p1z)) { return p2z; // may be NaN } if (std::isnan(p2z)) { return p1z; // may be NaN } if (p.equals2D(p1)) { return p1z; // not NaN } if (p.equals2D(p2)) { return p2z; // not NaN } double dz = p2z - p1z; if (dz == 0.0) { return p1z; } // interpolate Z from distance of p along p1-p2 double dx = (p2.x - p1.x); double dy = (p2.y - p1.y); // seg has non-zero length since p1 < p < p2 double seglen = (dx * dx + dy * dy); double xoff = (p.x - p1.x); double yoff = (p.y - p1.y); double plen = (xoff * xoff + yoff * yoff); double frac = std::sqrt(plen / seglen); double zoff = dz * frac; double zInterpolated = p1z + zoff; return zInterpolated; } template static double interpolate(const geom::CoordinateXY& p, const C1& p1, const C1& p2, const C2& q1, const C2& q2) { double zp = interpolate(p, p1, p2); double zq = interpolate(p, q1, q2); if (std::isnan(zp)) { return zq; // may be NaN } if (std::isnan(zq)) { return zp; // may be NaN } return (zp + zq) / 2.0; } template static double get(const C1& p, const C2& q) { double a = p.template get(); double b = q.template get(); if (std::isnan(a)) { return b; } return a; } template static double getOrInterpolate(const C1& p, const C2& p1, const C2& p2) { double z = p.template get(); if (!std::isnan(z)) return z; return interpolate(p, p1, p2); } static double interpolate(const geom::CoordinateXY& p, const geom::CoordinateXY& p1, const geom::CoordinateXY& p2) { (void) p; (void) p1; (void) p2; return DoubleNotANumber; } public: /// Interpolate a Z value for a coordinate from two other coordinates. template static double zInterpolate(const geom::CoordinateXY& p, const CoordType& p1, const CoordType& p2) { return interpolate(p, p1, p2); } /// Calculate an average interpolated Z value from two pairs of other coordinates. template static double zInterpolate(const geom::CoordinateXY& p, const C1& p1, const C1& p2, const C2& q1, const C2& q2) { return interpolate(p, p1, p2, q1, q2); } /// Interpolate an M value for a coordinate from two other coordinates. template static double mInterpolate(const geom::CoordinateXY& p, const CoordType& p1, const CoordType& p2) { return interpolate(p, p1, p2); } /// Calculate an average interpolated M value from two pairs of other coordinates. template static double mInterpolate(const geom::CoordinateXY& p, const C1& p1, const C1& p2, const C2& q1, const C2& q2) { return interpolate(p, p1, p2, q1, q2); } /// Return the first non-NaN Z value from two coordinates, or NaN if both values are NaN. template static double zGet(const C1& p, const C2& q) { return get(p, q); } /// Return the first non-NaN M value from two coordinates, or NaN if both values are NaN. template static double mGet(const C1& p, const C2& q) { return get(p, q); } /// Return a coordinates's non-NaN Z value or interpolate it from two other coordinates if it is NaN. template static double zGetOrInterpolate(const C1& p, const C2& p1, const C2& p2) { return getOrInterpolate(p, p1, p2); } /// Return a coordinates's non-NaN M value or interpolate it from two other coordinates if it is NaN. template static double mGetOrInterpolate(const C1& p, const C2& p1, const C2& p2) { return getOrInterpolate(p, p1, p2); } }; } }