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/* -*- 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 <rtl/math.h>
#include <cmath>
#include <math.h>
#include <basegfx/basegfxdllapi.h>
#include <limits>
#include <algorithm>
// 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<sal_Int32>::max() - .5)
return std::numeric_limits<sal_Int32>::max();
else if (fVal <= std::numeric_limits<sal_Int32>::min() + .5)
return std::numeric_limits<sal_Int32>::min();
return fVal > 0.0 ? static_cast<sal_Int32>( fVal + .5 ) : static_cast<sal_Int32>( 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<sal_Int64>( fVal + .5 ) : -static_cast<sal_Int64>( -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 )
{
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);
namespace fTools
{
/// Get threshold value for equalZero and friends
inline double getSmallValue() { return 0.000000001f; }
/// Compare against small value
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool equalZero(const T& rfVal)
{
return (fabs(rfVal) <= getSmallValue());
}
/// Compare against given small value
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool equalZero(const T& rfVal, const T& rfSmallValue)
{
return (fabs(rfVal) <= rfSmallValue);
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool equal(T const& rfValA, T const& rfValB)
{
// changed to approxEqual usage for better numerical correctness
return rtl_math_approxEqual(rfValA, rfValB);
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool equal(const T& rfValA, const T& rfValB, const T& rfSmallValue)
{
return (fabs(rfValA - rfValB) <= rfSmallValue);
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool less(const T& rfValA, const T& rfValB)
{
return (rfValA < rfValB && !equal(rfValA, rfValB));
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool lessOrEqual(const T& rfValA, const T& rfValB)
{
return (rfValA < rfValB || equal(rfValA, rfValB));
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool more(const T& rfValA, const T& rfValB)
{
return (rfValA > rfValB && !equal(rfValA, rfValB));
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool moreOrEqual(const T& rfValA, const T& rfValB)
{
return (rfValA > rfValB || equal(rfValA, rfValB));
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value, bool>::type = false>
inline bool betweenOrEqualEither(const T& rfValA, const T& rfValB, const T& rfValC)
{
return (rfValA > rfValB && rfValA < rfValC) || equal(rfValA, rfValB) || equal(rfValA, rfValC);
}
};
} // end of namespace basegfx
/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
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