/**************************************************************************** ** ** Copyright (C) 2016 The Qt Company Ltd. ** Contact: https://www.qt.io/licensing/ ** ** This file is part of the QtCore module of the Qt Toolkit. ** ** $QT_BEGIN_LICENSE:LGPL$ ** Commercial License Usage ** Licensees holding valid commercial Qt licenses may use this file in ** accordance with the commercial license agreement provided with the ** Software or, alternatively, in accordance with the terms contained in ** a written agreement between you and The Qt Company. For licensing terms ** and conditions see https://www.qt.io/terms-conditions. For further ** information use the contact form at https://www.qt.io/contact-us. ** ** GNU Lesser General Public License Usage ** Alternatively, this file may be used under the terms of the GNU Lesser ** General Public License version 3 as published by the Free Software ** Foundation and appearing in the file LICENSE.LGPL3 included in the ** packaging of this file. Please review the following information to ** ensure the GNU Lesser General Public License version 3 requirements ** will be met: https://www.gnu.org/licenses/lgpl-3.0.html. ** ** GNU General Public License Usage ** Alternatively, this file may be used under the terms of the GNU ** General Public License version 2.0 or (at your option) the GNU General ** Public license version 3 or any later version approved by the KDE Free ** Qt Foundation. The licenses are as published by the Free Software ** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3 ** included in the packaging of this file. Please review the following ** information to ensure the GNU General Public License requirements will ** be met: https://www.gnu.org/licenses/gpl-2.0.html and ** https://www.gnu.org/licenses/gpl-3.0.html. ** ** $QT_END_LICENSE$ ** ****************************************************************************/ #ifndef QMATH_H #define QMATH_H #if 0 #pragma qt_class(QtMath) #endif #include #include #ifndef _USE_MATH_DEFINES # define _USE_MATH_DEFINES # define undef_USE_MATH_DEFINES #endif #include #ifdef undef_USE_MATH_DEFINES # undef _USE_MATH_DEFINES # undef undef_USE_MATH_DEFINES #endif QT_BEGIN_NAMESPACE #define QT_SINE_TABLE_SIZE 256 extern Q_CORE_EXPORT const qreal qt_sine_table[QT_SINE_TABLE_SIZE]; template int qCeil(T v) { using std::ceil; return int(ceil(v)); } template int qFloor(T v) { using std::floor; return int(floor(v)); } template auto qFabs(T v) { using std::fabs; return fabs(v); } template auto qSin(T v) { using std::sin; return sin(v); } template auto qCos(T v) { using std::cos; return cos(v); } template auto qTan(T v) { using std::tan; return tan(v); } template auto qAcos(T v) { using std::acos; return acos(v); } template auto qAsin(T v) { using std::asin; return asin(v); } template auto qAtan(T v) { using std::atan; return atan(v); } template auto qAtan2(T1 y, T2 x) { using std::atan2; return atan2(y, x); } template auto qSqrt(T v) { using std::sqrt; return sqrt(v); } template auto qLn(T v) { using std::log; return log(v); } template auto qExp(T v) { using std::exp; return exp(v); } template auto qPow(T1 x, T2 y) { using std::pow; return pow(x, y); } // TODO: use template variables (e.g. Qt::pi) for these once we have C++14 support: #ifndef M_E #define M_E (2.7182818284590452354) #endif #ifndef M_LOG2E #define M_LOG2E (1.4426950408889634074) #endif #ifndef M_LOG10E #define M_LOG10E (0.43429448190325182765) #endif #ifndef M_LN2 #define M_LN2 (0.69314718055994530942) #endif #ifndef M_LN10 #define M_LN10 (2.30258509299404568402) #endif #ifndef M_PI #define M_PI (3.14159265358979323846) #endif #ifndef M_PI_2 #define M_PI_2 (1.57079632679489661923) #endif #ifndef M_PI_4 #define M_PI_4 (0.78539816339744830962) #endif #ifndef M_1_PI #define M_1_PI (0.31830988618379067154) #endif #ifndef M_2_PI #define M_2_PI (0.63661977236758134308) #endif #ifndef M_2_SQRTPI #define M_2_SQRTPI (1.12837916709551257390) #endif #ifndef M_SQRT2 #define M_SQRT2 (1.41421356237309504880) #endif #ifndef M_SQRT1_2 #define M_SQRT1_2 (0.70710678118654752440) #endif inline qreal qFastSin(qreal x) { int si = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower. qreal d = x - si * (2.0 * M_PI / QT_SINE_TABLE_SIZE); int ci = si + QT_SINE_TABLE_SIZE / 4; si &= QT_SINE_TABLE_SIZE - 1; ci &= QT_SINE_TABLE_SIZE - 1; return qt_sine_table[si] + (qt_sine_table[ci] - 0.5 * qt_sine_table[si] * d) * d; } inline qreal qFastCos(qreal x) { int ci = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower. qreal d = x - ci * (2.0 * M_PI / QT_SINE_TABLE_SIZE); int si = ci + QT_SINE_TABLE_SIZE / 4; si &= QT_SINE_TABLE_SIZE - 1; ci &= QT_SINE_TABLE_SIZE - 1; return qt_sine_table[si] - (qt_sine_table[ci] + 0.5 * qt_sine_table[si] * d) * d; } Q_DECL_CONSTEXPR inline float qDegreesToRadians(float degrees) { return degrees * float(M_PI/180); } Q_DECL_CONSTEXPR inline double qDegreesToRadians(double degrees) { return degrees * (M_PI / 180); } Q_DECL_CONSTEXPR inline float qRadiansToDegrees(float radians) { return radians * float(180/M_PI); } Q_DECL_CONSTEXPR inline double qRadiansToDegrees(double radians) { return radians * (180 / M_PI); } namespace QtPrivate { constexpr inline quint32 qConstexprNextPowerOfTwo(quint32 v) { v |= v >> 1; v |= v >> 2; v |= v >> 4; v |= v >> 8; v |= v >> 16; ++v; return v; } constexpr inline quint64 qConstexprNextPowerOfTwo(quint64 v) { v |= v >> 1; v |= v >> 2; v |= v >> 4; v |= v >> 8; v |= v >> 16; v |= v >> 32; ++v; return v; } constexpr inline quint32 qConstexprNextPowerOfTwo(qint32 v) { return qConstexprNextPowerOfTwo(quint32(v)); } constexpr inline quint64 qConstexprNextPowerOfTwo(qint64 v) { return qConstexprNextPowerOfTwo(quint64(v)); } } // namespace QtPrivate constexpr inline quint32 qNextPowerOfTwo(quint32 v) { #if defined(QT_HAS_BUILTIN_CLZ) if (v == 0) return 1; return 2U << (31 ^ QAlgorithmsPrivate::qt_builtin_clz(v)); #else return QtPrivate::qConstexprNextPowerOfTwo(v); #endif } constexpr inline quint64 qNextPowerOfTwo(quint64 v) { #if defined(QT_HAS_BUILTIN_CLZLL) if (v == 0) return 1; return Q_UINT64_C(2) << (63 ^ QAlgorithmsPrivate::qt_builtin_clzll(v)); #else return QtPrivate::qConstexprNextPowerOfTwo(v); #endif } constexpr inline quint32 qNextPowerOfTwo(qint32 v) { return qNextPowerOfTwo(quint32(v)); } constexpr inline quint64 qNextPowerOfTwo(qint64 v) { return qNextPowerOfTwo(quint64(v)); } QT_END_NAMESPACE #endif // QMATH_H