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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2020 Paul Ramsey * * 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 #include #include // Forward declarations namespace geos { namespace geom { class Geometry; class Envelope; class PrecisionModel; } namespace operation { } } namespace geos { // geos. namespace operation { // geos.operation namespace overlayng { // geos.operation.overlayng using namespace geos::geom; /** * Unions a collection of geometries in an * efficient way, using {@link OverlayNG} * to ensure robust computation. * @author Martin Davis */ class GEOS_DLL PrecisionUtil { private: static double robustScale(double inherentScale, double safeScale); /** * Determines the maximum magnitude (absolute value) of the bounds of an * of an envelope. * This is equal to the largest ordinate value * which must be accommodated by a scale factor. * */ static double maxBoundMagnitude(const Envelope* env); /** * Computes the scale factor which will * produce a given number of digits of precision (significant digits) * when used to round the given number. * * For example: to provide 5 decimal digits of precision * for the number 123.456 the precision scale factor is 100; * for 3 digits of precision the scale factor is 1; * for 2 digits of precision the scale factor is 0.1. * * Rounding to the scale factor can be performed with {@link PrecisionModel#round} * * @see PrecisionModel.round */ static double precisionScale(double value, int precisionDigits); public: static constexpr int MAX_ROBUST_DP_DIGITS = 14; PrecisionUtil() {}; /** * Determines a precision model to * use for robust overlay operations. * The precision scale factor is chosen to maximize * output precision while avoiding round-off issues. * * NOTE: this is a heuristic determination, so is not guaranteed to * eliminate precision issues. * * WARNING: this is quite slow. */ static PrecisionModel robustPM(const Geometry* a, const Geometry* b); /** * Determines a precision model to * use for robust overlay operations for one geometry. * The precision scale factor is chosen to maximize * output precision while avoiding round-off issues. * * NOTE: this is a heuristic determination, so is not guaranteed to * eliminate precision issues. * * WARNING: this is quite slow. */ static PrecisionModel robustPM(const Geometry* a); /** * Determines a scale factor which maximizes * the digits of precision and is * safe to use for overlay operations. * The robust scale is the minimum of the * inherent scale and the safe scale factors. */ static double robustScale(const Geometry* a, const Geometry* b); /** * Determines a scale factor which maximizes * the digits of precision and is * safe to use for overlay operations. * The robust scale is the minimum of the * inherent scale and the safe scale factors. */ static double robustScale(const Geometry* a); /** * Computes a safe scale factor for a numeric value. * A safe scale factor ensures that rounded * number has no more than MAX_PRECISION_DIGITS * digits of precision. */ static double safeScale(double value); /** * Computes a safe scale factor for a geometry. * A safe scale factor ensures that the rounded * ordinates have no more than MAX_PRECISION_DIGITS * digits of precision. */ static double safeScale(const Geometry* geom); /** * Computes a safe scale factor for two geometries. * A safe scale factor ensures that the rounded * ordinates have no more than MAX_PRECISION_DIGITS * digits of precision. */ static double safeScale(const Geometry* a, const Geometry* b); /** * Computes the inherent scale of a number. * The inherent scale is the scale factor for rounding * which preserves all digits of precision * (significant digits) * present in the numeric value. * In other words, it is the scale factor which does not * change the numeric value when rounded: * * num = round( num, inherentScale(num) ) */ static double inherentScale(double value); /** * Computes the inherent scale of a geometry. * The inherent scale is the scale factor for rounding * which preserves all digits of precision * (significant digits) * present in the geometry ordinates. * * This is the maximum inherent scale * of all ordinate values in the geometry. */ static double inherentScale(const Geometry* geom); /** * Computes the inherent scale of two geometries. * The inherent scale is the scale factor for rounding * which preserves all digits of precision * (significant digits) * present in the geometry ordinates. * * This is the maximum inherent scale * of all ordinate values in the geometries. */ static double inherentScale(const Geometry* a, const Geometry* b); /** * Determines the * number of decimal places represented in a double-precision * number (as determined by Java). * This uses the Java double-precision print routine * to determine the number of decimal places, * This is likely not optimal for performance, * but should be accurate and portable. */ static int numberOfDecimals(double value); /** * Applies the inherent scale calculation * to every ordinate in a geometry. */ class GEOS_DLL InherentScaleFilter: public CoordinateFilter { private: double scale; void updateScaleMax(double value) { double scaleVal = PrecisionUtil::inherentScale(value); if (scaleVal > scale) { scale = scaleVal; } } public: InherentScaleFilter() : scale(0.0) {} void filter_ro(const geom::Coordinate* coord) override { updateScaleMax(coord->x); updateScaleMax(coord->y); } double getScale() const { return scale; } }; }; } // namespace geos.operation.overlayng } // namespace geos.operation } // namespace geos