/**************************************************************************** ** ** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). ** All rights reserved. ** Contact: Nokia Corporation (qt-info@nokia.com) ** ** This file is part of the QtCore module of the Qt Toolkit. ** ** $QT_BEGIN_LICENSE:LGPL$ ** Commercial Usage ** Licensees holding valid Qt Commercial licenses may use this file in ** accordance with the Qt Commercial License Agreement provided with the ** Software or, alternatively, in accordance with the terms contained in ** a written agreement between you and Nokia. ** ** GNU Lesser General Public License Usage ** Alternatively, this file may be used under the terms of the GNU Lesser ** General Public License version 2.1 as published by the Free Software ** Foundation and appearing in the file LICENSE.LGPL included in the ** packaging of this file. Please review the following information to ** ensure the GNU Lesser General Public License version 2.1 requirements ** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html. ** ** In addition, as a special exception, Nokia gives you certain additional ** rights. These rights are described in the Nokia Qt LGPL Exception ** version 1.1, included in the file LGPL_EXCEPTION.txt in this package. ** ** GNU General Public License Usage ** Alternatively, this file may be used under the terms of the GNU ** General Public License version 3.0 as published by the Free Software ** Foundation and appearing in the file LICENSE.GPL included in the ** packaging of this file. Please review the following information to ** ensure the GNU General Public License version 3.0 requirements will be ** met: http://www.gnu.org/copyleft/gpl.html. ** ** If you have questions regarding the use of this file, please contact ** Nokia at qt-info@nokia.com. ** $QT_END_LICENSE$ ** ****************************************************************************/ #ifndef QMATH_H #define QMATH_H #include #include QT_BEGIN_HEADER QT_BEGIN_NAMESPACE QT_MODULE(Core) #define QT_SINE_TABLE_SIZE 256 extern Q_CORE_EXPORT const qreal qt_sine_table[QT_SINE_TABLE_SIZE]; inline int qCeil(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return int(ceilf(float(v))); else #endif return int(ceil(v)); } inline int qFloor(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return int(floorf(float(v))); else #endif return int(floor(v)); } inline qreal qSin(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return sinf(float(v)); else #endif return sin(v); } inline qreal qCos(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return cosf(float(v)); else #endif return cos(v); } inline qreal qAcos(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return acosf(float(v)); else #endif return acos(v); } inline qreal qSqrt(qreal v) { /* #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return sqrtf(float(v)); else #endif return sqrt(v); */ /* double y = (double)v; double x, z, tempf; unsigned long *tfptr = ((unsigned long *)&tempf) + 1; tempf = y; *tfptr = (0xbfcdd90a - *tfptr)>>1; x = tempf; z = y*0.5; x = (1.5*x) - (x*x)*(x*z); //x = (1.5*x) - (x*x)*(x*z); // comment out if presicion is good enough //x = (1.5*x) - (x*x)*(x*z); //x = (1.5*x) - (x*x)*(x*z); //x = (1.5*x) - (x*x)*(x*z); return x*y; */ float y = (float)v; float xhalf = 0.5f*y; int i = *(int*)&y; i = 0x5f3759df - (i >> 1); y = *(float*)&i; y = y*(1.5f - xhalf*y*y); //y = y*(1.5f - xhalf*y*y); return 1.f/y; } inline qreal qLn(qreal v) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return logf(float(v)); else #endif return log(v); } inline qreal qPow(qreal x, qreal y) { #ifdef QT_USE_MATH_H_FLOATS if (sizeof(qreal) == sizeof(float)) return powf(float(x), float(y)); else #endif return pow(x, y); } #ifndef M_PI #define M_PI (3.14159265358979323846) #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; } QT_END_NAMESPACE QT_END_HEADER #endif // QMATH_H