examples/opengl/hellogl_es/glwidget.cpp
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     1 /****************************************************************************
       
     2 **
       
     3 ** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
       
     4 ** All rights reserved.
       
     5 ** Contact: Nokia Corporation (qt-info@nokia.com)
       
     6 **
       
     7 ** This file is part of the examples of the Qt Toolkit.
       
     8 **
       
     9 ** $QT_BEGIN_LICENSE:LGPL$
       
    10 ** No Commercial Usage
       
    11 ** This file contains pre-release code and may not be distributed.
       
    12 ** You may use this file in accordance with the terms and conditions
       
    13 ** contained in the Technology Preview License Agreement accompanying
       
    14 ** this package.
       
    15 **
       
    16 ** GNU Lesser General Public License Usage
       
    17 ** Alternatively, this file may be used under the terms of the GNU Lesser
       
    18 ** General Public License version 2.1 as published by the Free Software
       
    19 ** Foundation and appearing in the file LICENSE.LGPL included in the
       
    20 ** packaging of this file.  Please review the following information to
       
    21 ** ensure the GNU Lesser General Public License version 2.1 requirements
       
    22 ** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
       
    23 **
       
    24 ** In addition, as a special exception, Nokia gives you certain additional
       
    25 ** rights.  These rights are described in the Nokia Qt LGPL Exception
       
    26 ** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
       
    27 **
       
    28 ** If you have questions regarding the use of this file, please contact
       
    29 ** Nokia at qt-info@nokia.com.
       
    30 **
       
    31 **
       
    32 **
       
    33 **
       
    34 **
       
    35 **
       
    36 **
       
    37 **
       
    38 ** $QT_END_LICENSE$
       
    39 **
       
    40 ****************************************************************************/
       
    41 
       
    42 #include "glwidget.h"
       
    43 #include <QPainter>
       
    44 #include <math.h>
       
    45 
       
    46 #include "bubble.h"
       
    47 #include "cl_helper.h"
       
    48 
       
    49 
       
    50 const int bubbleNum = 8;
       
    51 
       
    52 inline void CrossProduct(qreal &xOut, qreal &yOut, qreal &zOut, qreal x1, qreal y1, qreal z1, qreal x2, qreal y2, qreal z2)
       
    53 {
       
    54    xOut = y1 * z2 - z1 * y2;
       
    55    yOut = z1 * x2 - x1 * z2;
       
    56    zOut = x1 * y2 - y1 * x2;
       
    57 }
       
    58 
       
    59 inline void Normalize(qreal &x, qreal &y, qreal &z)
       
    60 {
       
    61     qreal l = sqrt(x*x + y*y + z*z);
       
    62     x = x / l;
       
    63     y = y / l;
       
    64     z = z / l;
       
    65 }
       
    66 
       
    67 GLWidget::GLWidget(QWidget *parent)
       
    68     : QGLWidget(parent)
       
    69 {
       
    70     qtLogo = true;
       
    71     createdVertices = 0;
       
    72     createdNormals = 0;
       
    73     m_vertexNumber = 0;
       
    74     frames = 0;
       
    75     setAttribute(Qt::WA_PaintOnScreen);
       
    76     setAttribute(Qt::WA_NoSystemBackground);
       
    77     setAutoBufferSwap(false);
       
    78     m_showBubbles = true;
       
    79 }
       
    80 
       
    81 GLWidget::~GLWidget()
       
    82 {
       
    83   if (createdVertices)
       
    84       delete[] createdVertices;
       
    85   if (createdNormals)
       
    86       delete[] createdNormals;
       
    87 }
       
    88 
       
    89 void GLWidget::setScaling(int scale) {
       
    90 
       
    91     if (scale > 50)
       
    92         m_fScale = 1 + qreal(scale -50) / 50 * 0.5;
       
    93     else if (scale < 50)
       
    94         m_fScale =  1- (qreal(50 - scale) / 50 * 1/2);
       
    95     else 
       
    96       m_fScale = 1;
       
    97 }
       
    98 
       
    99 void GLWidget::setLogo() {
       
   100     qtLogo = true;
       
   101 }
       
   102 
       
   103 void GLWidget::setTexture() {
       
   104     qtLogo = false;
       
   105 }
       
   106 
       
   107 void GLWidget::showBubbles(bool bubbles)
       
   108 {
       
   109    m_showBubbles = bubbles;
       
   110 }
       
   111 
       
   112 //! [2]
       
   113 void GLWidget::paintQtLogo()
       
   114 {
       
   115     glDisable(GL_TEXTURE_2D);
       
   116     glEnableClientState(GL_VERTEX_ARRAY);
       
   117     glVertexPointer(3,q_vertexTypeEnum,0, createdVertices);
       
   118     glEnableClientState(GL_NORMAL_ARRAY);
       
   119     glNormalPointer(q_vertexTypeEnum,0,createdNormals);
       
   120     glDrawArrays(GL_TRIANGLES, 0, m_vertexNumber / 3);
       
   121 }
       
   122 //! [2]
       
   123 
       
   124 void GLWidget::paintTexturedCube()
       
   125 {
       
   126     glEnable(GL_TEXTURE_2D);
       
   127     glBindTexture(GL_TEXTURE_2D, m_uiTexture);
       
   128     q_vertexType afVertices[] = {
       
   129         f2vt(-0.5), f2vt(0.5), f2vt(0.5), f2vt(0.5),f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(-0.5),f2vt(0.5),
       
   130         f2vt(0.5), f2vt(-0.5), f2vt(0.5), f2vt(-0.5),f2vt(0.5),f2vt(0.5),f2vt(0.5),f2vt(0.5),f2vt(0.5),
       
   131         f2vt(-0.5), f2vt(-0.5), f2vt(-0.5), f2vt(0.5),f2vt(-0.5),f2vt(-0.5),f2vt(-0.5),f2vt(0.5),f2vt(-0.5),
       
   132         f2vt(0.5), f2vt(0.5), f2vt(-0.5), f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(-0.5),
       
   133 
       
   134         f2vt(0.5), f2vt(-0.5), f2vt(-0.5), f2vt(0.5),f2vt(-0.5),f2vt(0.5),f2vt(0.5),f2vt(0.5),f2vt(-0.5),
       
   135         f2vt(0.5), f2vt(0.5), f2vt(0.5), f2vt(0.5),f2vt(0.5),f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(0.5),
       
   136         f2vt(-0.5), f2vt(0.5), f2vt(-0.5), f2vt(-0.5),f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(-0.5),f2vt(-0.5),
       
   137         f2vt(-0.5), f2vt(-0.5), f2vt(0.5), f2vt(-0.5),f2vt(0.5),f2vt(-0.5),f2vt(-0.5),f2vt(0.5),f2vt(0.5),
       
   138 
       
   139         f2vt(0.5), f2vt(0.5),  f2vt(-0.5), f2vt(-0.5), f2vt(0.5),  f2vt(0.5),  f2vt(-0.5),  f2vt(0.5),  f2vt(-0.5),
       
   140         f2vt(-0.5),  f2vt(0.5),  f2vt(0.5),  f2vt(0.5),  f2vt(0.5),  f2vt(-0.5), f2vt(0.5), f2vt(0.5),  f2vt(0.5),
       
   141         f2vt(-0.5),  f2vt(-0.5), f2vt(-0.5), f2vt(-0.5), f2vt(-0.5), f2vt(0.5),  f2vt(0.5), f2vt(-0.5), f2vt(-0.5),
       
   142         f2vt(0.5), f2vt(-0.5), f2vt(0.5),  f2vt(0.5),  f2vt(-0.5), f2vt(-0.5), f2vt(-0.5),  f2vt(-0.5), f2vt(0.5)
       
   143     };
       
   144     glEnableClientState(GL_VERTEX_ARRAY);
       
   145     glVertexPointer(3,q_vertexTypeEnum,0,afVertices);
       
   146 
       
   147     q_vertexType afTexCoord[] = {
       
   148         f2vt(0.0f),f2vt(0.0f), f2vt(1.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f),
       
   149         f2vt(1.0f),f2vt(1.0f), f2vt(0.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f),
       
   150         f2vt(1.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f),
       
   151         f2vt(0.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f),
       
   152 
       
   153         f2vt(1.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f),
       
   154         f2vt(0.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f),
       
   155         f2vt(0.0f),f2vt(0.0f), f2vt(1.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f),
       
   156         f2vt(1.0f),f2vt(1.0f), f2vt(0.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f),
       
   157 
       
   158         f2vt(0.0f),f2vt(1.0f), f2vt(1.0f),f2vt(0.0f), f2vt(1.0f),f2vt(1.0f),
       
   159         f2vt(1.0f),f2vt(0.0f), f2vt(0.0f),f2vt(1.0f), f2vt(0.0f),f2vt(0.0f),
       
   160         f2vt(1.0f),f2vt(0.0f), f2vt(1.0f),f2vt(1.0f), f2vt(0.0f),f2vt(0.0f),
       
   161         f2vt(0.0f),f2vt(1.0f), f2vt(0.0f),f2vt(0.0f), f2vt(1.0f),f2vt(1.0f)
       
   162     };
       
   163     glEnableClientState(GL_TEXTURE_COORD_ARRAY);
       
   164     glTexCoordPointer(2,q_vertexTypeEnum,0,afTexCoord);
       
   165 
       
   166     q_vertexType afNormals[] = {
       
   167 
       
   168         f2vt(0),f2vt(0),f2vt(-1), f2vt(0),f2vt(0),f2vt(-1), f2vt(0),f2vt(0),f2vt(-1),
       
   169         f2vt(0),f2vt(0),f2vt(-1), f2vt(0),f2vt(0),f2vt(-1), f2vt(0),f2vt(0),f2vt(-1),
       
   170         f2vt(0),f2vt(0),f2vt(1), f2vt(0),f2vt(0),f2vt(1), f2vt(0),f2vt(0),f2vt(1),
       
   171         f2vt(0),f2vt(0),f2vt(1), f2vt(0),f2vt(0),f2vt(1), f2vt(0),f2vt(0),f2vt(1),
       
   172 
       
   173         f2vt(-1),f2vt(0),f2vt(0), f2vt(-1),f2vt(0),f2vt(0), f2vt(-1),f2vt(0),f2vt(0),
       
   174         f2vt(-1),f2vt(0),f2vt(0), f2vt(-1),f2vt(0),f2vt(0), f2vt(-1),f2vt(0),f2vt(0),
       
   175         f2vt(1),f2vt(0),f2vt(0), f2vt(1),f2vt(0),f2vt(0), f2vt(1),f2vt(0),f2vt(0),
       
   176         f2vt(1),f2vt(0),f2vt(0), f2vt(1),f2vt(0),f2vt(0), f2vt(1),f2vt(0),f2vt(0),
       
   177 
       
   178         f2vt(0),f2vt(-1),f2vt(0), f2vt(0),f2vt(-1),f2vt(0), f2vt(0),f2vt(-1),f2vt(0),
       
   179         f2vt(0),f2vt(-1),f2vt(0), f2vt(0),f2vt(-1),f2vt(0), f2vt(0),f2vt(-1),f2vt(0),
       
   180         f2vt(0),f2vt(1),f2vt(0), f2vt(0),f2vt(1),f2vt(0), f2vt(0),f2vt(1),f2vt(0),
       
   181         f2vt(0),f2vt(1),f2vt(0), f2vt(0),f2vt(1),f2vt(0), f2vt(0),f2vt(1),f2vt(0)
       
   182     };
       
   183     glEnableClientState(GL_NORMAL_ARRAY);
       
   184     glNormalPointer(q_vertexTypeEnum,0,afNormals);
       
   185 
       
   186     glDrawArrays(GL_TRIANGLES, 0, 36);
       
   187 }
       
   188 
       
   189 void GLWidget::initializeGL ()
       
   190 {
       
   191     q_glClearColor(f2vt(0.1f), f2vt(0.1f), f2vt(0.2f), f2vt(1.0f));
       
   192 
       
   193     glEnable(GL_TEXTURE_2D);
       
   194     glGenTextures(1, &m_uiTexture);
       
   195     m_uiTexture = bindTexture(QImage(":/qt.png"));
       
   196 
       
   197     q_glTexParameter(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR );
       
   198     q_glTexParameter(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR );
       
   199     glEnable(GL_LIGHTING);
       
   200     glEnable(GL_LIGHT0);
       
   201 
       
   202     q_vertexType aLightPosition[] = {f2vt(0.0f),f2vt(0.3f),f2vt(1.0f),f2vt(0.0f)};
       
   203 
       
   204     q_glLightv(GL_LIGHT0, GL_SPOT_DIRECTION, aLightPosition);
       
   205     m_fAngle = 0;
       
   206     m_fScale = 1;
       
   207     createGeometry();
       
   208     createBubbles(bubbleNum - bubbles.count());
       
   209 }
       
   210 
       
   211 void GLWidget::paintGL()
       
   212 {
       
   213     createBubbles(bubbleNum - bubbles.count());
       
   214 
       
   215 //! [3]    
       
   216     QPainter painter;
       
   217     painter.begin(this);
       
   218 
       
   219     glMatrixMode(GL_PROJECTION);
       
   220     glPushMatrix();
       
   221     glLoadIdentity();
       
   222 //! [3]    
       
   223 
       
   224 //! [4]    
       
   225     glMatrixMode(GL_MODELVIEW);
       
   226     glPushMatrix();
       
   227     glMatrixMode(GL_TEXTURE);
       
   228     glPushMatrix();
       
   229 
       
   230     //Since OpenGL ES does not support glPush/PopAttrib(GL_ALL_ATTRIB_BITS) 
       
   231     //we have to take care of the states ourselves
       
   232 
       
   233     q_glClearColor(f2vt(0.1f), f2vt(0.1f), f2vt(0.2f), f2vt(1.0f));
       
   234     glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
       
   235     glEnable(GL_TEXTURE_2D);
       
   236 
       
   237     q_glTexParameter(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR );
       
   238     q_glTexParameter(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR );
       
   239     glEnable(GL_LIGHTING);
       
   240     glEnable(GL_LIGHT0);
       
   241 
       
   242     glShadeModel(GL_FLAT);
       
   243     glFrontFace(GL_CW);
       
   244     glCullFace(GL_FRONT);
       
   245     glEnable(GL_CULL_FACE);
       
   246     glEnable(GL_DEPTH_TEST);
       
   247 
       
   248     glMatrixMode(GL_MODELVIEW);
       
   249     glLoadIdentity();
       
   250 
       
   251     q_glRotate(f2vt(m_fAngle), f2vt(0.0), f2vt(1.0), f2vt(0.0));
       
   252     q_glRotate(f2vt(m_fAngle), f2vt(1.0), f2vt(0.0), f2vt(0.0));
       
   253     q_glRotate(f2vt(m_fAngle), f2vt(0.0), f2vt(0.0), f2vt(1.0));
       
   254     q_glScale(f2vt(m_fScale), f2vt(m_fScale),f2vt(m_fScale));
       
   255     q_glTranslate(f2vt(0),f2vt(-0.2),f2vt(0));
       
   256 
       
   257     q_vertexType matDiff[] = {f2vt(0.40), f2vt(1.0), f2vt(0.0), f2vt(1.0)};
       
   258     q_glMaterialv(GL_FRONT_AND_BACK, GL_DIFFUSE, matDiff);
       
   259 
       
   260     if (qtLogo)
       
   261         paintQtLogo();
       
   262     else
       
   263         paintTexturedCube();
       
   264 //! [4]    
       
   265 
       
   266 //![5]
       
   267     glMatrixMode(GL_MODELVIEW);
       
   268     glPopMatrix();
       
   269     glMatrixMode(GL_PROJECTION);
       
   270     glPopMatrix();
       
   271     glMatrixMode(GL_TEXTURE);
       
   272     glPopMatrix();
       
   273 
       
   274     glDisable(GL_LIGHTING);
       
   275     glDisable(GL_LIGHT0);
       
   276 
       
   277     glDisable(GL_DEPTH_TEST);
       
   278     glDisable(GL_CULL_FACE);
       
   279 //![5]
       
   280 
       
   281 //! [6]
       
   282     if (m_showBubbles)
       
   283         foreach (Bubble *bubble, bubbles) {
       
   284             bubble->drawBubble(&painter);
       
   285     }
       
   286 //! [6]
       
   287 
       
   288 //! [7]
       
   289     QString framesPerSecond;
       
   290     framesPerSecond.setNum(frames /(time.elapsed() / 1000.0), 'f', 2);
       
   291 
       
   292     painter.setPen(Qt::white);
       
   293 
       
   294     painter.drawText(20, 40, framesPerSecond + " fps");
       
   295 
       
   296     painter.end();
       
   297 //! [7]
       
   298     
       
   299 //! [8]
       
   300     swapBuffers();
       
   301 //! [8]
       
   302 
       
   303     QMutableListIterator<Bubble*> iter(bubbles);
       
   304 
       
   305     while (iter.hasNext()) {
       
   306         Bubble *bubble = iter.next();
       
   307         bubble->move(rect());
       
   308     }
       
   309     if (!(frames % 100)) {
       
   310         time.start();
       
   311         frames = 0;
       
   312     }
       
   313     m_fAngle += 1.0f;
       
   314     frames ++;
       
   315 }
       
   316 
       
   317 void GLWidget::createBubbles(int number)
       
   318 {
       
   319     for (int i = 0; i < number; ++i) {
       
   320         QPointF position(width()*(0.1 + (0.8*qrand()/(RAND_MAX+1.0))),
       
   321                         height()*(0.1 + (0.8*qrand()/(RAND_MAX+1.0))));
       
   322         qreal radius = qMin(width(), height())*(0.0175 + 0.0875*qrand()/(RAND_MAX+1.0));
       
   323         QPointF velocity(width()*0.0175*(-0.5 + qrand()/(RAND_MAX+1.0)),
       
   324                         height()*0.0175*(-0.5 + qrand()/(RAND_MAX+1.0)));
       
   325 
       
   326         bubbles.append(new Bubble(position, radius, velocity));
       
   327     }
       
   328 }
       
   329 
       
   330 void GLWidget::createGeometry()
       
   331 {
       
   332     vertices.clear();
       
   333     normals.clear();
       
   334 
       
   335     qreal x1 = +0.06f;
       
   336     qreal y1 = -0.14f;
       
   337     qreal x2 = +0.14f;
       
   338     qreal y2 = -0.06f;
       
   339     qreal x3 = +0.08f;
       
   340     qreal y3 = +0.00f;
       
   341     qreal x4 = +0.30f;
       
   342     qreal y4 = +0.22f;
       
   343 
       
   344     quad(x1, y1, x2, y2, y2, x2, y1, x1);
       
   345     quad(x3, y3, x4, y4, y4, x4, y3, x3);
       
   346 
       
   347     extrude(x1, y1, x2, y2);
       
   348     extrude(x2, y2, y2, x2);
       
   349     extrude(y2, x2, y1, x1);
       
   350     extrude(y1, x1, x1, y1);
       
   351     extrude(x3, y3, x4, y4);
       
   352     extrude(x4, y4, y4, x4);
       
   353     extrude(y4, x4, y3, x3);
       
   354 
       
   355     const qreal Pi = 3.14159f;
       
   356     const int NumSectors = 100;
       
   357 
       
   358     for (int i = 0; i < NumSectors; ++i) {
       
   359         qreal angle1 = (i * 2 * Pi) / NumSectors;
       
   360         qreal x5 = 0.30 * sin(angle1);
       
   361         qreal y5 = 0.30 * cos(angle1);
       
   362         qreal x6 = 0.20 * sin(angle1);
       
   363         qreal y6 = 0.20 * cos(angle1);
       
   364 
       
   365         qreal angle2 = ((i + 1) * 2 * Pi) / NumSectors;
       
   366         qreal x7 = 0.20 * sin(angle2);
       
   367         qreal y7 = 0.20 * cos(angle2);
       
   368         qreal x8 = 0.30 * sin(angle2);
       
   369         qreal y8 = 0.30 * cos(angle2);
       
   370 
       
   371         quad(x5, y5, x6, y6, x7, y7, x8, y8);
       
   372 
       
   373         extrude(x6, y6, x7, y7);
       
   374         extrude(x8, y8, x5, y5);
       
   375     }
       
   376 
       
   377 //! [1]
       
   378     m_vertexNumber = vertices.size();
       
   379     createdVertices = new q_vertexType[m_vertexNumber];
       
   380     createdNormals = new q_vertexType[m_vertexNumber];
       
   381     for (int i = 0;i < m_vertexNumber;i++) {
       
   382       createdVertices[i] = f2vt(vertices.at(i) * 2);
       
   383       createdNormals[i] = f2vt(normals.at(i));
       
   384     }
       
   385     vertices.clear();
       
   386     normals.clear();
       
   387 }
       
   388 //! [1]
       
   389 
       
   390 //! [0]
       
   391 void GLWidget::quad(qreal x1, qreal y1, qreal x2, qreal y2, qreal x3, qreal y3, qreal x4, qreal y4)
       
   392 {
       
   393     qreal nx, ny, nz;
       
   394 
       
   395     vertices << x1 << y1 << -0.05f;
       
   396     vertices << x2 << y2 << -0.05f;
       
   397     vertices << x4 << y4 << -0.05f;
       
   398 
       
   399     vertices << x3 << y3 << -0.05f;
       
   400     vertices << x4 << y4 << -0.05f;
       
   401     vertices << x2 << y2 << -0.05f;
       
   402 
       
   403     CrossProduct(nx, ny, nz, x2 - x1, y2 - y1, 0, x4 - x1, y4 - y1, 0);
       
   404     Normalize(nx, ny, nz);
       
   405 
       
   406     normals << nx << ny << nz;
       
   407     normals << nx << ny << nz;
       
   408     normals << nx << ny << nz;
       
   409 
       
   410     normals << nx << ny << nz;
       
   411     normals << nx << ny << nz;
       
   412     normals << nx << ny << nz;
       
   413 
       
   414     vertices << x4 << y4 << 0.05f;
       
   415     vertices << x2 << y2 << 0.05f;
       
   416     vertices << x1 << y1 << 0.05f;
       
   417 
       
   418     vertices << x2 << y2 << 0.05f;
       
   419     vertices << x4 << y4 << 0.05f;
       
   420     vertices << x3 << y3 << 0.05f;
       
   421 
       
   422     CrossProduct(nx, ny, nz, x2 - x4, y2 - y4, 0, x1 - x4, y1 - y4, 0);
       
   423     Normalize(nx, ny, nz);
       
   424 
       
   425     normals << nx << ny << nz;
       
   426     normals << nx << ny << nz;
       
   427     normals << nx << ny << nz;
       
   428 
       
   429     normals << nx << ny << nz;
       
   430     normals << nx << ny << nz;
       
   431     normals << nx << ny << nz;
       
   432 }
       
   433 //! [0]
       
   434 
       
   435 void GLWidget::extrude(qreal x1, qreal y1, qreal x2, qreal y2)
       
   436 {
       
   437     qreal nx, ny, nz;
       
   438 
       
   439     vertices << x1 << y1 << +0.05f;
       
   440     vertices << x2 << y2 << +0.05f;
       
   441     vertices << x1 << y1 << -0.05f;
       
   442 
       
   443     vertices << x2 << y2 << -0.05f;
       
   444     vertices << x1 << y1 << -0.05f;
       
   445     vertices << x2 << y2 << +0.05f;
       
   446 
       
   447     CrossProduct(nx, ny, nz, x2 - x1, y2 - y1, 0.0f, 0.0f, 0.0f, -0.1f);
       
   448     Normalize(nx, ny, nz);
       
   449 
       
   450     normals << nx << ny << nz;
       
   451     normals << nx << ny << nz;
       
   452     normals << nx << ny << nz;
       
   453 
       
   454     normals << nx << ny << nz;
       
   455     normals << nx << ny << nz;
       
   456     normals << nx << ny << nz;
       
   457 }