/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ /* * This file is part of the LibreOffice project. * * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. * * This file incorporates work covered by the following license notice: * * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed * with this work for additional information regarding copyright * ownership. The ASF licenses this file to you under the Apache * License, Version 2.0 (the "License"); you may not use this file * except in compliance with the License. You may obtain a copy of * the License at http://www.apache.org/licenses/LICENSE-2.0 . */ #pragma once #include #include #include #include #include #include // standard PI defines from solar.h, but we do not want to link against tools #ifndef F_PI #define F_PI M_PI #endif #ifndef F_PI2 #define F_PI2 M_PI_2 #endif #ifndef F_PI4 #define F_PI4 M_PI_4 #endif #ifndef F_PI180 #define F_PI180 (M_PI/180.0) #endif #ifndef F_PI1800 #define F_PI1800 (M_PI/1800.0) #endif #ifndef F_PI18000 #define F_PI18000 (M_PI/18000.0) #endif #ifndef F_2PI #define F_2PI (2.0*M_PI) #endif // fTools defines namespace basegfx { /** Round double to nearest integer @return the nearest integer */ inline sal_Int32 fround( double fVal ) { if (fVal >= std::numeric_limits::max() - .5) return std::numeric_limits::max(); else if (fVal <= std::numeric_limits::min() + .5) return std::numeric_limits::min(); return fVal > 0.0 ? static_cast( fVal + .5 ) : static_cast( fVal - .5 ); } /** Round double to nearest integer @return the nearest 64 bit integer */ inline sal_Int64 fround64( double fVal ) { return fVal > 0.0 ? static_cast( fVal + .5 ) : -static_cast( -fVal + .5 ); } /** Prune a small epsilon range around zero. Use this method e.g. for calculating scale values. There, it is usually advisable not to set a scaling to 0.0, because that yields singular transformation matrices. @param fVal An arbitrary, but finite and valid number @return either fVal, or a small value slightly above (when fVal>0) or below (when fVal<0) zero. */ inline double pruneScaleValue( double fVal ) { // old version used ::std::min/max, but this collides if min is defined as preprocessor // macro which is the case e.g with windows.h headers. The simplest way to avoid this is to // just use the full comparison. I keep the original here, maybe there will be a better // solution some day. //return fVal < 0.0 ? // (::std::min(fVal,-0.00001)) : // (::std::max(fVal,0.00001)); if(fVal < 0.0) return std::min(fVal, -0.00001); else return std::max(fVal, 0.00001); } /** Convert value from degrees to radians */ constexpr double deg2rad( double v ) { // divide first, to get exact values for v being a multiple of // 90 degrees return v / 90.0 * M_PI_2; } /** Convert value radians to degrees */ constexpr double rad2deg( double v ) { // divide first, to get exact values for v being a multiple of // pi/2 return v / M_PI_2 * 90.0; } /** Snap v to nearest multiple of fStep, from negative and positive side. Examples: snapToNearestMultiple(-0.1, 0.5) = 0.0 snapToNearestMultiple(0.1, 0.5) = 0.0 snapToNearestMultiple(0.25, 0.5) = 0.0 snapToNearestMultiple(0.26, 0.5) = 0.5 */ BASEGFX_DLLPUBLIC double snapToNearestMultiple(double v, const double fStep); /** Snap v to the range [0.0 .. fWidth] using modulo */ double snapToZeroRange(double v, double fWidth); /** Snap v to the range [fLow .. fHigh] using modulo */ double snapToRange(double v, double fLow, double fHigh); /** return fValue with the sign of fSignCarrier, thus evtl. changed */ inline double copySign(double fValue, double fSignCarrier) { #ifdef _WIN32 return _copysign(fValue, fSignCarrier); #else return copysign(fValue, fSignCarrier); #endif } /** RotateFlyFrame3: Normalize to range defined by [0.0 ... fRange[, independent if v is positive or negative. Examples: normalizeToRange(0.5, -1.0) = 0.0 normalizeToRange(0.5, 0.0) = 0.0 normalizeToRange(0.5, 1.0) = 0.5 normalizeToRange(-0.5, 1.0) = 0.5 normalizeToRange(-0.3, 1.0) = 0.7 normalizeToRange(-0.7, 1.0) = 0.3 normalizeToRange(3.5, 1.0) = 0.5 normalizeToRange(3.3, 1.0) = 0.3 normalizeToRange(3.7, 1.0) = 0.7 normalizeToRange(-3.5, 1.0) = 0.5 normalizeToRange(-3.3, 1.0) = 0.7 normalizeToRange(-3.7, 1.0) = 0.3 */ BASEGFX_DLLPUBLIC double normalizeToRange(double v, const double fRange); class BASEGFX_DLLPUBLIC fTools { public: /// Get threshold value for equalZero and friends static double getSmallValue() { return 0.000000001f; } /// Compare against small value static bool equalZero(const double& rfVal) { return (fabs(rfVal) <= getSmallValue()); } /// Compare against given small value static bool equalZero(const double& rfVal, const double& rfSmallValue) { return (fabs(rfVal) <= rfSmallValue); } static bool equal(const double& rfValA, const double& rfValB) { // changed to approxEqual usage for better numerical correctness return rtl_math_approxEqual(rfValA, rfValB); } static bool equal(const double& rfValA, const double& rfValB, const double& rfSmallValue) { return (fabs(rfValA - rfValB) <= rfSmallValue); } static bool less(const double& rfValA, const double& rfValB) { return (rfValA < rfValB && !equal(rfValA, rfValB)); } static bool lessOrEqual(const double& rfValA, const double& rfValB) { return (rfValA < rfValB || equal(rfValA, rfValB)); } static bool more(const double& rfValA, const double& rfValB) { return (rfValA > rfValB && !equal(rfValA, rfValB)); } static bool moreOrEqual(const double& rfValA, const double& rfValB) { return (rfValA > rfValB || equal(rfValA, rfValB)); } static bool betweenOrEqualEither(const double& rfValA, const double& rfValB, const double& rfValC) { return (rfValA > rfValB && rfValA < rfValC) || equal(rfValA, rfValB) || equal(rfValA, rfValC); } }; } // end of namespace basegfx /* vim:set shiftwidth=4 softtabstop=4 expandtab: */