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path: root/src/gui/math3d/qmath3dutil.cpp
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/****************************************************************************
**
** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
** Contact: Qt Software Information (qt-info@nokia.com)
**
** This file is part of the $MODULE$ of the Qt Toolkit.
**
** $TROLLTECH_DUAL_LICENSE$
**
****************************************************************************/

#include "qmath3dutil_p.h"

QT_BEGIN_NAMESPACE

#ifdef QT_GL_FIXED_PREFERRED

// The table that follows was automatically generated by the following code:
//
//#include <math.h>
//#include <stdio.h>
//
//int main()
//{
//    double angle;
//    int count = 0;
//    for (angle = 0.0; angle < 360.0; angle += 1.0) {
//        if ((count % 4) == 0)
//            printf("   ");
//        printf(" qf2vt(%f)", sin(angle * M_PI / 180.0));
//        ++count;
//        if (count != 360)
//            printf(",");
//        if ((count % 4) == 0)
//            printf("\n");
//    }
//    return 0;
//}

#define qf2vt(x) (int((x) * 65536.0))

static int const sinTable[360] = {
    qf2vt(0.000000), qf2vt(0.017452), qf2vt(0.034899), qf2vt(0.052336),
    qf2vt(0.069756), qf2vt(0.087156), qf2vt(0.104528), qf2vt(0.121869),
    qf2vt(0.139173), qf2vt(0.156434), qf2vt(0.173648), qf2vt(0.190809),
    qf2vt(0.207912), qf2vt(0.224951), qf2vt(0.241922), qf2vt(0.258819),
    qf2vt(0.275637), qf2vt(0.292372), qf2vt(0.309017), qf2vt(0.325568),
    qf2vt(0.342020), qf2vt(0.358368), qf2vt(0.374607), qf2vt(0.390731),
    qf2vt(0.406737), qf2vt(0.422618), qf2vt(0.438371), qf2vt(0.453990),
    qf2vt(0.469472), qf2vt(0.484810), qf2vt(0.500000), qf2vt(0.515038),
    qf2vt(0.529919), qf2vt(0.544639), qf2vt(0.559193), qf2vt(0.573576),
    qf2vt(0.587785), qf2vt(0.601815), qf2vt(0.615661), qf2vt(0.629320),
    qf2vt(0.642788), qf2vt(0.656059), qf2vt(0.669131), qf2vt(0.681998),
    qf2vt(0.694658), qf2vt(0.707107), qf2vt(0.719340), qf2vt(0.731354),
    qf2vt(0.743145), qf2vt(0.754710), qf2vt(0.766044), qf2vt(0.777146),
    qf2vt(0.788011), qf2vt(0.798636), qf2vt(0.809017), qf2vt(0.819152),
    qf2vt(0.829038), qf2vt(0.838671), qf2vt(0.848048), qf2vt(0.857167),
    qf2vt(0.866025), qf2vt(0.874620), qf2vt(0.882948), qf2vt(0.891007),
    qf2vt(0.898794), qf2vt(0.906308), qf2vt(0.913545), qf2vt(0.920505),
    qf2vt(0.927184), qf2vt(0.933580), qf2vt(0.939693), qf2vt(0.945519),
    qf2vt(0.951057), qf2vt(0.956305), qf2vt(0.961262), qf2vt(0.965926),
    qf2vt(0.970296), qf2vt(0.974370), qf2vt(0.978148), qf2vt(0.981627),
    qf2vt(0.984808), qf2vt(0.987688), qf2vt(0.990268), qf2vt(0.992546),
    qf2vt(0.994522), qf2vt(0.996195), qf2vt(0.997564), qf2vt(0.998630),
    qf2vt(0.999391), qf2vt(0.999848), qf2vt(1.000000), qf2vt(0.999848),
    qf2vt(0.999391), qf2vt(0.998630), qf2vt(0.997564), qf2vt(0.996195),
    qf2vt(0.994522), qf2vt(0.992546), qf2vt(0.990268), qf2vt(0.987688),
    qf2vt(0.984808), qf2vt(0.981627), qf2vt(0.978148), qf2vt(0.974370),
    qf2vt(0.970296), qf2vt(0.965926), qf2vt(0.961262), qf2vt(0.956305),
    qf2vt(0.951057), qf2vt(0.945519), qf2vt(0.939693), qf2vt(0.933580),
    qf2vt(0.927184), qf2vt(0.920505), qf2vt(0.913545), qf2vt(0.906308),
    qf2vt(0.898794), qf2vt(0.891007), qf2vt(0.882948), qf2vt(0.874620),
    qf2vt(0.866025), qf2vt(0.857167), qf2vt(0.848048), qf2vt(0.838671),
    qf2vt(0.829038), qf2vt(0.819152), qf2vt(0.809017), qf2vt(0.798636),
    qf2vt(0.788011), qf2vt(0.777146), qf2vt(0.766044), qf2vt(0.754710),
    qf2vt(0.743145), qf2vt(0.731354), qf2vt(0.719340), qf2vt(0.707107),
    qf2vt(0.694658), qf2vt(0.681998), qf2vt(0.669131), qf2vt(0.656059),
    qf2vt(0.642788), qf2vt(0.629320), qf2vt(0.615661), qf2vt(0.601815),
    qf2vt(0.587785), qf2vt(0.573576), qf2vt(0.559193), qf2vt(0.544639),
    qf2vt(0.529919), qf2vt(0.515038), qf2vt(0.500000), qf2vt(0.484810),
    qf2vt(0.469472), qf2vt(0.453990), qf2vt(0.438371), qf2vt(0.422618),
    qf2vt(0.406737), qf2vt(0.390731), qf2vt(0.374607), qf2vt(0.358368),
    qf2vt(0.342020), qf2vt(0.325568), qf2vt(0.309017), qf2vt(0.292372),
    qf2vt(0.275637), qf2vt(0.258819), qf2vt(0.241922), qf2vt(0.224951),
    qf2vt(0.207912), qf2vt(0.190809), qf2vt(0.173648), qf2vt(0.156434),
    qf2vt(0.139173), qf2vt(0.121869), qf2vt(0.104528), qf2vt(0.087156),
    qf2vt(0.069756), qf2vt(0.052336), qf2vt(0.034899), qf2vt(0.017452),
    qf2vt(0.000000), qf2vt(-0.017452), qf2vt(-0.034899), qf2vt(-0.052336),
    qf2vt(-0.069756), qf2vt(-0.087156), qf2vt(-0.104528), qf2vt(-0.121869),
    qf2vt(-0.139173), qf2vt(-0.156434), qf2vt(-0.173648), qf2vt(-0.190809),
    qf2vt(-0.207912), qf2vt(-0.224951), qf2vt(-0.241922), qf2vt(-0.258819),
    qf2vt(-0.275637), qf2vt(-0.292372), qf2vt(-0.309017), qf2vt(-0.325568),
    qf2vt(-0.342020), qf2vt(-0.358368), qf2vt(-0.374607), qf2vt(-0.390731),
    qf2vt(-0.406737), qf2vt(-0.422618), qf2vt(-0.438371), qf2vt(-0.453990),
    qf2vt(-0.469472), qf2vt(-0.484810), qf2vt(-0.500000), qf2vt(-0.515038),
    qf2vt(-0.529919), qf2vt(-0.544639), qf2vt(-0.559193), qf2vt(-0.573576),
    qf2vt(-0.587785), qf2vt(-0.601815), qf2vt(-0.615661), qf2vt(-0.629320),
    qf2vt(-0.642788), qf2vt(-0.656059), qf2vt(-0.669131), qf2vt(-0.681998),
    qf2vt(-0.694658), qf2vt(-0.707107), qf2vt(-0.719340), qf2vt(-0.731354),
    qf2vt(-0.743145), qf2vt(-0.754710), qf2vt(-0.766044), qf2vt(-0.777146),
    qf2vt(-0.788011), qf2vt(-0.798636), qf2vt(-0.809017), qf2vt(-0.819152),
    qf2vt(-0.829038), qf2vt(-0.838671), qf2vt(-0.848048), qf2vt(-0.857167),
    qf2vt(-0.866025), qf2vt(-0.874620), qf2vt(-0.882948), qf2vt(-0.891007),
    qf2vt(-0.898794), qf2vt(-0.906308), qf2vt(-0.913545), qf2vt(-0.920505),
    qf2vt(-0.927184), qf2vt(-0.933580), qf2vt(-0.939693), qf2vt(-0.945519),
    qf2vt(-0.951057), qf2vt(-0.956305), qf2vt(-0.961262), qf2vt(-0.965926),
    qf2vt(-0.970296), qf2vt(-0.974370), qf2vt(-0.978148), qf2vt(-0.981627),
    qf2vt(-0.984808), qf2vt(-0.987688), qf2vt(-0.990268), qf2vt(-0.992546),
    qf2vt(-0.994522), qf2vt(-0.996195), qf2vt(-0.997564), qf2vt(-0.998630),
    qf2vt(-0.999391), qf2vt(-0.999848), qf2vt(-1.000000), qf2vt(-0.999848),
    qf2vt(-0.999391), qf2vt(-0.998630), qf2vt(-0.997564), qf2vt(-0.996195),
    qf2vt(-0.994522), qf2vt(-0.992546), qf2vt(-0.990268), qf2vt(-0.987688),
    qf2vt(-0.984808), qf2vt(-0.981627), qf2vt(-0.978148), qf2vt(-0.974370),
    qf2vt(-0.970296), qf2vt(-0.965926), qf2vt(-0.961262), qf2vt(-0.956305),
    qf2vt(-0.951057), qf2vt(-0.945519), qf2vt(-0.939693), qf2vt(-0.933580),
    qf2vt(-0.927184), qf2vt(-0.920505), qf2vt(-0.913545), qf2vt(-0.906308),
    qf2vt(-0.898794), qf2vt(-0.891007), qf2vt(-0.882948), qf2vt(-0.874620),
    qf2vt(-0.866025), qf2vt(-0.857167), qf2vt(-0.848048), qf2vt(-0.838671),
    qf2vt(-0.829038), qf2vt(-0.819152), qf2vt(-0.809017), qf2vt(-0.798636),
    qf2vt(-0.788011), qf2vt(-0.777146), qf2vt(-0.766044), qf2vt(-0.754710),
    qf2vt(-0.743145), qf2vt(-0.731354), qf2vt(-0.719340), qf2vt(-0.707107),
    qf2vt(-0.694658), qf2vt(-0.681998), qf2vt(-0.669131), qf2vt(-0.656059),
    qf2vt(-0.642788), qf2vt(-0.629320), qf2vt(-0.615661), qf2vt(-0.601815),
    qf2vt(-0.587785), qf2vt(-0.573576), qf2vt(-0.559193), qf2vt(-0.544639),
    qf2vt(-0.529919), qf2vt(-0.515038), qf2vt(-0.500000), qf2vt(-0.484810),
    qf2vt(-0.469472), qf2vt(-0.453990), qf2vt(-0.438371), qf2vt(-0.422618),
    qf2vt(-0.406737), qf2vt(-0.390731), qf2vt(-0.374607), qf2vt(-0.358368),
    qf2vt(-0.342020), qf2vt(-0.325568), qf2vt(-0.309017), qf2vt(-0.292372),
    qf2vt(-0.275637), qf2vt(-0.258819), qf2vt(-0.241922), qf2vt(-0.224951),
    qf2vt(-0.207912), qf2vt(-0.190809), qf2vt(-0.173648), qf2vt(-0.156434),
    qf2vt(-0.139173), qf2vt(-0.121869), qf2vt(-0.104528), qf2vt(-0.087156),
    qf2vt(-0.069756), qf2vt(-0.052336), qf2vt(-0.034899), qf2vt(-0.017452)
};

void qt_math3d_sincos(qreal angle, qrealinner *s, qrealinner *c)
{
    if (angle == qFloor(angle)) {
        // The angle is an integer number of degrees, so look up the results.
        int a = (int)angle;
        if (a >= 0)
            a = (a % 360);
        else
            a = 360 - (-a % 360);
        s->setBits(sinTable[a]);
        c->setBits(sinTable[(a + 90) % 360]);
    } else {
        qreal a = angle * M_PI / 180.0f;
        *s = qSin(a);
        *c = qCos(a);
    }
}

#else

void qt_math3d_sincos(qreal angle, qrealinner *s, qrealinner *c)
{
    qreal a = angle * M_PI / 180.0f;
    *s = qSin(a);
    *c = qCos(a);
}

#endif

QT_END_NAMESPACE