/* * Portions Copyright (C) 2003 Sun Microsystems, Inc. * All rights reserved. */ /* * * COPYRIGHT NVIDIA CORPORATION 2003. ALL RIGHTS RESERVED. * BY ACCESSING OR USING THIS SOFTWARE, YOU AGREE TO: * * 1) ACKNOWLEDGE NVIDIA'S EXCLUSIVE OWNERSHIP OF ALL RIGHTS * IN AND TO THE SOFTWARE; * * 2) NOT MAKE OR DISTRIBUTE COPIES OF THE SOFTWARE WITHOUT * INCLUDING THIS NOTICE AND AGREEMENT; * * 3) ACKNOWLEDGE THAT TO THE MAXIMUM EXTENT PERMITTED BY * APPLICABLE LAW, THIS SOFTWARE IS PROVIDED *AS IS* AND * THAT NVIDIA AND ITS SUPPLIERS DISCLAIM ALL WARRANTIES, * EITHER EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED * TO, IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE. * * IN NO EVENT SHALL NVIDIA OR ITS SUPPLIERS BE LIABLE FOR ANY * SPECIAL, INCIDENTAL, INDIRECT, OR CONSEQUENTIAL DAMAGES * WHATSOEVER (INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS * OF BUSINESS PROFITS, BUSINESS INTERRUPTION, LOSS OF BUSINESS * INFORMATION, OR ANY OTHER PECUNIARY LOSS), INCLUDING ATTORNEYS' * FEES, RELATING TO THE USE OF OR INABILITY TO USE THIS SOFTWARE, * EVEN IF NVIDIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. * */ package demos.vertexProgRefract; import java.awt.*; import java.awt.event.*; import java.awt.image.*; import java.io.*; import java.nio.*; import java.util.*; import javax.imageio.*; import javax.imageio.stream.*; import javax.swing.*; import net.java.games.jogl.*; import net.java.games.jogl.util.*; import demos.util.*; import gleem.*; import gleem.linalg.*; /** Wavelength-dependent refraction demo
It's a chromatic aberration!
sgreen@nvidia.com 4/2001

Currently 3 passes - could do it in 1 with 4 texture units

Cubemap courtesy of Paul Debevec

Ported to Java by Kenneth Russell */ public class VertexProgRefract { private GLCanvas canvas; private Animator animator; private volatile boolean quit; public static void main(String[] args) { new VertexProgRefract().run(args); } public void run(String[] args) { canvas = GLDrawableFactory.getFactory().createGLCanvas(new GLCapabilities()); canvas.addGLEventListener(new Listener()); animator = new Animator(canvas); Frame frame = new Frame("Refraction Using Vertex Programs"); frame.setLayout(new BorderLayout()); canvas.setSize(512, 512); frame.add(canvas, BorderLayout.CENTER); frame.pack(); frame.show(); canvas.requestFocus(); frame.addWindowListener(new WindowAdapter() { public void windowClosing(WindowEvent e) { animator.stop(); System.exit(0); } }); animator.start(); } class Listener implements GLEventListener { private int vtxProg; private int cubemap; private int bunnydl; private int obj; private GLUT glut = new GLUT(); private ExaminerViewer viewer; private boolean doViewAll = true; private Time time = new SystemTime(); private float animRate = (float) Math.toRadians(-6.0f); // Radians / sec private float refract = 1.1f; // ratio of indicies of refraction private float wavelengthDelta = 0.05f; // difference in refraction for each "wavelength" (R,G,B) private float fresnel = 2.0f; // Fresnel multiplier private boolean wire = false; private boolean toggleWire = false; private static final String transformRefract = "!!ARBvp1.0\n" + "# Refraction\n" + "\n" + "# Parameters\n" + "PARAM mvp [4] = { state.matrix.mvp }; # modelview projection matrix\n" + "PARAM mvit[4] = { state.matrix.modelview.invtrans }; # modelview matrix inverse transpose\n" + "PARAM mv [4] = { state.matrix.modelview }; # modelview matrix\n" + "PARAM tex [4] = { state.matrix.texture }; # texture matrix\n" + "PARAM eyePosition = program.env[0]; # eye position\n" + "PARAM fresnel = program.env[1]; # fresnel multiplier\n" + "PARAM texScale = program.env[2]; # texture scale\n" + "PARAM misc = program.env[3]; # misc. constants\n" + "PARAM refraction = program.env[4]; # refractive index\n" + "\n" + "# Per vertex inputs\n" + "ATTRIB iPos = vertex.position; #position\n" + "ATTRIB iCol0 = vertex.color; #color\n" + "ATTRIB iNorm = vertex.normal; #normal\n" + "\n" + "# Temporaries\n" + "TEMP r0;\n" + "TEMP r1;\n" + "TEMP r2;\n" + "TEMP r3;\n" + "TEMP r8;\n" + "TEMP r9;\n" + "TEMP r11;\n" + "\n" + "# Outputs\n" + "OUTPUT oPos = result.position; #position\n" + "OUTPUT oCol0 = result.color; #primary color\n" + "OUTPUT oTex0 = result.texcoord[0]; #texture coordinate set 0\n" + "OUTPUT oTex1 = result.texcoord[1]; #texture coordinate set 1\n" + "\n" + "\n" + "# transform vertex position to eye space\n" + "DP4 r9.x, mv[0], iPos ;\n" + "DP4 r9.y, mv[1], iPos ;\n" + "DP4 r9.z, mv[2], iPos ;\n" + "DP4 r9.w, mv[3], iPos ;\n" + "\n" + "# transform normal to eye space\n" + "DP3 r11.x, mvit[0], iNorm ;\n" + "DP3 r11.y, mvit[1], iNorm ;\n" + "DP3 r11.z, mvit[2], iNorm ;\n" + "\n" + "# vertex->eye vector\n" + "ADD r0, -r9, eyePosition;\n" + "\n" + "# normalize\n" + "DP3 r8.w, r0, r0;\n" + "RSQ r8.w, r8.w;\n" + "MUL r8, r0, r8.w; # r8 = eye/incident vector\n" + "\n" + "# refraction, Renderman style\n" + "\n" + "# float IdotN = I.N;\n" + "# float k = 1 - eta*eta*(1 - IdotN*IdotN);\n" + "# return k < 0 ? (0,0,0) : eta*I - (eta*IdotN + sqrt(k))*N;\n" + "\n" + "DP3 r0.x, r11, -r8; # r0 = N.I\n" + "\n" + "MAD r1.x, -r0.x, r0.x, misc.y; # r1 = -IdotN*IdotN + 1\n" + "MUL r1.x, r1.x, refraction.y; # r1 = -(r1*eta*eta)+1\n" + "ADD r1.x, misc.y, -r1.x;\n" + "\n" + "RSQ r2.x, r1.x;\n" + "RCP r2.x, r2.x;\n" + "MAD r2.x, refraction.x, r0.x, r2.x;\n" + "MUL r2, r11, r2.x;\n" + "MAD r2, refraction.x, -r8, r2;\n" + "\n" + "# transform refracted ray by cubemap transform\n" + "DP3 oTex0.x, tex[0], r2;\n" + "DP3 oTex0.y, tex[1], r2;\n" + "DP3 oTex0.z, tex[2], r2;\n" + "\n" + "# calculate reflection\n" + "MUL r0, r11, misc.z;\n" + "DP3 r3.w, r11, r8;\n" + "MAD r3, r3.w, r0, -r8;\n" + "\n" + "# transform reflected ray by cubemap transform\n" + "DP3 oTex1.x, tex[0], r3;\n" + "DP3 oTex1.y, tex[1], r3;\n" + "DP3 oTex1.z, tex[2], r3;\n" + "\n" + "# cheesy Fresnel approximation = (1-(I.N))^p\n" + "DP3 r0.x, r8, r11;\n" + "ADD r0.x, misc.y, -r0.x;\n" + "MUL r0.x, r0.x, r0.x;\n" + "MUL oCol0, r0.x, fresnel;\n" + "\n" + "# transform vertex to clip space\n" + "DP4 oPos.x, mvp[0], iPos ;\n" + "DP4 oPos.y, mvp[1], iPos ;\n" + "DP4 oPos.z, mvp[2], iPos ;\n" + "DP4 oPos.w, mvp[3], iPos ;\n" + "\n" + "END\n"; public void init(GLDrawable drawable) { GL gl = drawable.getGL(); GLU glu = drawable.getGLU(); float cc = 1.0f; gl.glClearColor(cc, cc, cc, 1); gl.glColor3f(1,1,1); gl.glEnable(GL.GL_DEPTH_TEST); try { initExtension(gl, "GL_ARB_vertex_program"); initExtension(gl, "GL_NV_register_combiners"); initExtension(gl, "GL_ARB_multitexture"); } catch (RuntimeException e) { quit = true; throw(e); } b[' '] = true; // animate by default int[] vtxProgTmp = new int[1]; gl.glGenProgramsARB(1, vtxProgTmp); vtxProg = vtxProgTmp[0]; gl.glBindProgramARB (GL.GL_VERTEX_PROGRAM_ARB, vtxProg); gl.glProgramStringARB(GL.GL_VERTEX_PROGRAM_ARB, GL.GL_PROGRAM_FORMAT_ASCII_ARB, transformRefract.length(), transformRefract); gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 0, 0.0f, 0.0f, 0.0f, 1.0f); // eye position gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 1, fresnel, fresnel, fresnel, 1.0f); // fresnel multiplier gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 2, 1.0f, -1.0f, 1.0f, 0.0f); // texture scale gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 3, 0.0f, 1.0f, 2.0f, 3.0f); // misc constants int[] cubemapTmp = new int[1]; gl.glGenTextures(1, cubemapTmp); cubemap = cubemapTmp[0]; gl.glBindTexture(GL.GL_TEXTURE_CUBE_MAP_ARB, cubemap); gl.glTexParameteri(GL.GL_TEXTURE_CUBE_MAP_ARB, GL.GL_TEXTURE_MAG_FILTER, GL.GL_LINEAR); gl.glTexParameteri(GL.GL_TEXTURE_CUBE_MAP_ARB, GL.GL_TEXTURE_MIN_FILTER, GL.GL_LINEAR_MIPMAP_LINEAR); try { loadPNGCubemap(gl, glu, "demos/data/cubemaps/uffizi", true); } catch (IOException e) { runExit(); throw new RuntimeException(e); } gl.glTexEnvi(GL.GL_TEXTURE_ENV, GL.GL_TEXTURE_ENV_MODE, GL.GL_REPLACE); gl.glDisable(GL.GL_CULL_FACE); initCombiners(gl); try { bunnydl = Bunny.gen3DObjectList(gl); } catch (IOException e) { throw new RuntimeException(e); } drawable.addKeyListener(new KeyAdapter() { public void keyTyped(KeyEvent e) { dispatchKey(e.getKeyChar()); } }); // Register the window with the ManipManager ManipManager manager = ManipManager.getManipManager(); manager.registerWindow(drawable); viewer = new ExaminerViewer(MouseButtonHelper.numMouseButtons()); viewer.setNoAltKeyMode(true); viewer.attach(drawable, new BSphereProvider() { public BSphere getBoundingSphere() { return new BSphere(new Vec3f(0, 0, 0), 1.0f); } }); viewer.setVertFOV((float) (15.0f * Math.PI / 32.0f)); viewer.setZNear(0.1f); viewer.setZFar(10.0f); } public void display(GLDrawable drawable) { if (quit) { return; } time.update(); GL gl = drawable.getGL(); GLU glu = drawable.getGLU(); gl.glClear(GL.GL_COLOR_BUFFER_BIT|GL.GL_DEPTH_BUFFER_BIT); if (doViewAll) { viewer.viewAll(gl); doViewAll = false; } if (getFlag(' ')) { viewer.rotateAboutFocalPoint(new Rotf(Vec3f.Y_AXIS, (float) (time.deltaT() * animRate))); } if (toggleWire) { toggleWire = false; wire = !wire; if (wire) { gl.glPolygonMode(GL.GL_FRONT_AND_BACK, GL.GL_LINE); } else { gl.glPolygonMode(GL.GL_FRONT_AND_BACK, GL.GL_FILL); } } // draw background gl.glDisable(GL.GL_DEPTH_TEST); drawSkyBox(gl, glu); gl.glEnable(GL.GL_DEPTH_TEST); gl.glPushMatrix(); viewer.update(gl); ManipManager.getManipManager().updateCameraParameters(drawable, viewer.getCameraParameters()); ManipManager.getManipManager().render(drawable, gl); gl.glBindProgramARB(GL.GL_VERTEX_PROGRAM_ARB, vtxProg); gl.glEnable(GL.GL_VERTEX_PROGRAM_ARB); gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 62, fresnel, fresnel, fresnel, 1.0f); // set texture transforms gl.glActiveTextureARB(GL.GL_TEXTURE0_ARB); gl.glBindTexture(GL.GL_TEXTURE_CUBE_MAP_ARB, cubemap); gl.glEnable(GL.GL_TEXTURE_CUBE_MAP_ARB); gl.glMatrixMode(GL.GL_TEXTURE); gl.glLoadIdentity(); gl.glScalef(1.0f, -1.0f, 1.0f); viewer.updateInverseRotation(gl); gl.glActiveTextureARB(GL.GL_TEXTURE1_ARB); gl.glBindTexture(GL.GL_TEXTURE_CUBE_MAP_ARB, cubemap); gl.glEnable(GL.GL_TEXTURE_CUBE_MAP_ARB); gl.glMatrixMode(GL.GL_TEXTURE); gl.glLoadIdentity(); gl.glScalef(1.0f, -1.0f, 1.0f); viewer.updateInverseRotation(gl); gl.glEnable(GL.GL_REGISTER_COMBINERS_NV); gl.glColor3f(1.0f, 1.0f, 1.0f); if (getFlag('s')) { // single pass setRefraction(gl, refract); drawObj(gl, glu, obj); } else { // red pass gl.glColorMask(true, false, false, false); setRefraction(gl, refract); drawObj(gl, glu, obj); gl.glDepthMask(false); gl.glDepthFunc(GL.GL_EQUAL); // green pass gl.glColorMask(false, true, false, false); setRefraction(gl, refract + wavelengthDelta); drawObj(gl, glu, obj); // blue pass gl.glColorMask(false, false, true, false); setRefraction(gl, refract + (wavelengthDelta * 2)); drawObj(gl, glu, obj); gl.glDepthMask(true); gl.glDepthFunc(GL.GL_LESS); gl.glColorMask(true, true, true, false); } gl.glDisable(GL.GL_REGISTER_COMBINERS_NV); gl.glDisable(GL.GL_VERTEX_PROGRAM_ARB); gl.glMatrixMode(GL.GL_MODELVIEW); gl.glPopMatrix(); } // Unused routines public void reshape(GLDrawable drawable, int x, int y, int width, int height) {} public void displayChanged(GLDrawable drawable, boolean modeChanged, boolean deviceChanged) {} //---------------------------------------------------------------------- // Internals only below this point // private boolean[] b = new boolean[256]; private void dispatchKey(char k) { setFlag(k, !getFlag(k)); // Quit on escape or 'q' if ((k == (char) 27) || (k == 'q')) { runExit(); return; } switch (k) { case '1': obj = 0; break; case '2': obj = 1; break; case '3': obj = 2; break; case '4': obj = 3; break; case 'v': doViewAll = true; break; case 'w': toggleWire = true; break; default: break; } } private void setFlag(char key, boolean val) { b[((int) key) & 0xFF] = val; } private boolean getFlag(char key) { return b[((int) key) & 0xFF]; } // FIXME: note we found that we had to swap the negy and posy portions of the cubemap. // Not sure why this is the case. Vertical flip in the image read? Possible, but doesn't // appear to be the case (have tried this and produced wrong results at the time). String[] suffixes = { "posx", "negx", "negy", "posy", "posz", "negz" }; int[] targets = { GL.GL_TEXTURE_CUBE_MAP_POSITIVE_X_ARB, GL.GL_TEXTURE_CUBE_MAP_NEGATIVE_X_ARB, GL.GL_TEXTURE_CUBE_MAP_POSITIVE_Y_ARB, GL.GL_TEXTURE_CUBE_MAP_NEGATIVE_Y_ARB, GL.GL_TEXTURE_CUBE_MAP_POSITIVE_Z_ARB, GL.GL_TEXTURE_CUBE_MAP_NEGATIVE_Z_ARB }; private void loadPNGCubemap(GL gl, GLU glu, String baseName, boolean mipmapped) throws IOException { for (int i = 0; i < suffixes.length; i++) { String resourceName = baseName + "_" + suffixes[i] + ".png"; BufferedImage img = ImageIO.read(getClass().getClassLoader().getResourceAsStream(resourceName)); if (img == null) { throw new RuntimeException("Error reading PNG image " + resourceName); } makeRGBTexture(gl, glu, img, targets[i], mipmapped); } } private void makeRGBTexture(GL gl, GLU glu, BufferedImage img, int target, boolean mipmapped) { ByteBuffer dest = null; switch (img.getType()) { case BufferedImage.TYPE_3BYTE_BGR: case BufferedImage.TYPE_CUSTOM: { byte[] data = ((DataBufferByte) img.getRaster().getDataBuffer()).getData(); dest = ByteBuffer.allocateDirect(data.length); dest.order(ByteOrder.nativeOrder()); dest.put(data, 0, data.length); break; } case BufferedImage.TYPE_INT_RGB: { int[] data = ((DataBufferInt) img.getRaster().getDataBuffer()).getData(); dest = ByteBuffer.allocateDirect(data.length * BufferUtils.SIZEOF_INT); dest.order(ByteOrder.nativeOrder()); dest.asIntBuffer().put(data, 0, data.length); break; } default: throw new RuntimeException("Unsupported image type " + img.getType()); } if (mipmapped) { glu.gluBuild2DMipmaps(target, GL.GL_RGB8, img.getWidth(), img.getHeight(), GL.GL_RGB, GL.GL_UNSIGNED_BYTE, dest); } else { gl.glTexImage2D(target, 0, GL.GL_RGB, img.getWidth(), img.getHeight(), 0, GL.GL_RGB, GL.GL_UNSIGNED_BYTE, dest); } } private void initExtension(GL gl, String glExtensionName) { if (!gl.isExtensionAvailable(glExtensionName)) { final String message = "OpenGL extension \"" + glExtensionName + "\" not available"; new Thread(new Runnable() { public void run() { JOptionPane.showMessageDialog(null, message, "Unavailable extension", JOptionPane.ERROR_MESSAGE); runExit(); } }).start(); throw new RuntimeException(message); } } // initalize texture combiners to compute: // refraction*(1-fresnel) + reflection*fresnel private void initCombiners(GL gl) { gl.glCombinerParameteriNV(GL.GL_NUM_GENERAL_COMBINERS_NV, 1); // combiner 0 // a*b+c*d gl.glCombinerInputNV(GL.GL_COMBINER0_NV, GL.GL_RGB, GL.GL_VARIABLE_A_NV, GL.GL_TEXTURE0_ARB, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); gl.glCombinerInputNV(GL.GL_COMBINER0_NV, GL.GL_RGB, GL.GL_VARIABLE_B_NV, GL.GL_PRIMARY_COLOR_NV, GL.GL_UNSIGNED_INVERT_NV, GL.GL_RGB); gl.glCombinerInputNV(GL.GL_COMBINER0_NV, GL.GL_RGB, GL.GL_VARIABLE_C_NV, GL.GL_TEXTURE1_ARB, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); gl.glCombinerInputNV(GL.GL_COMBINER0_NV, GL.GL_RGB, GL.GL_VARIABLE_D_NV, GL.GL_PRIMARY_COLOR_NV, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); // output: // (stage, portion, abOutput, cdOutput, sumOutput, scale, bias, abDotProduct, cdDotProduct, muxSum) gl.glCombinerOutputNV(GL.GL_COMBINER0_NV, GL.GL_RGB, GL.GL_DISCARD_NV, GL.GL_DISCARD_NV, GL.GL_SPARE0_NV, GL.GL_NONE, GL.GL_NONE, false, false, false); // final combiner // output: Frgb = A*B + (1-A)*C + D // (variable, input, mapping, componentUsage); gl.glFinalCombinerInputNV(GL.GL_VARIABLE_A_NV, GL.GL_SPARE0_NV, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); gl.glFinalCombinerInputNV(GL.GL_VARIABLE_B_NV, GL.GL_ZERO, GL.GL_UNSIGNED_INVERT_NV, GL.GL_RGB); gl.glFinalCombinerInputNV(GL.GL_VARIABLE_C_NV, GL.GL_ZERO, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); gl.glFinalCombinerInputNV(GL.GL_VARIABLE_D_NV, GL.GL_ZERO, GL.GL_UNSIGNED_IDENTITY_NV, GL.GL_RGB); } private void drawSkyBox(GL gl, GLU glu) { // Compensates for ExaminerViewer's modification of modelview matrix gl.glMatrixMode(GL.GL_MODELVIEW); gl.glLoadIdentity(); gl.glActiveTextureARB(GL.GL_TEXTURE1_ARB); gl.glDisable(GL.GL_TEXTURE_CUBE_MAP_ARB); gl.glActiveTextureARB(GL.GL_TEXTURE0_ARB); gl.glBindTexture(GL.GL_TEXTURE_CUBE_MAP_ARB, cubemap); gl.glEnable(GL.GL_TEXTURE_CUBE_MAP_ARB); // This is a workaround for a driver bug on Mac OS X where the // normals are not being sent down to the hardware in // GL_NORMAL_MAP_EXT texgen mode. Temporarily enabling lighting // causes the normals to be sent down. Thanks to Ken Dyke. gl.glEnable(GL.GL_LIGHTING); gl.glTexGeni(GL.GL_S, GL.GL_TEXTURE_GEN_MODE, GL.GL_NORMAL_MAP_EXT); gl.glTexGeni(GL.GL_T, GL.GL_TEXTURE_GEN_MODE, GL.GL_NORMAL_MAP_EXT); gl.glTexGeni(GL.GL_R, GL.GL_TEXTURE_GEN_MODE, GL.GL_NORMAL_MAP_EXT); gl.glEnable(GL.GL_TEXTURE_GEN_S); gl.glEnable(GL.GL_TEXTURE_GEN_T); gl.glEnable(GL.GL_TEXTURE_GEN_R); gl.glTexEnvi(GL.GL_TEXTURE_ENV, GL.GL_TEXTURE_ENV_MODE, GL.GL_REPLACE); gl.glMatrixMode(GL.GL_TEXTURE); gl.glPushMatrix(); gl.glLoadIdentity(); gl.glScalef(1.0f, -1.0f, 1.0f); viewer.updateInverseRotation(gl); glut.glutSolidSphere(glu, 5.0, 40, 20); gl.glDisable(GL.GL_LIGHTING); gl.glPopMatrix(); gl.glMatrixMode(GL.GL_MODELVIEW); gl.glDisable(GL.GL_TEXTURE_GEN_S); gl.glDisable(GL.GL_TEXTURE_GEN_T); gl.glDisable(GL.GL_TEXTURE_GEN_R); } private void drawObj(GL gl, GLU glu, int obj) { switch(obj) { case 0: gl.glCallList(bunnydl); break; case 1: glut.glutSolidSphere(glu, 0.5, 64, 64); break; case 2: glut.glutSolidTorus(gl, 0.25, 0.5, 64, 64); break; case 3: drawPlane(gl, 1.0f, 1.0f, 50, 50); break; } } private void setRefraction(GL gl, float index) { gl.glProgramEnvParameter4fARB(GL.GL_VERTEX_PROGRAM_ARB, 4, index, index*index, 0.0f, 0.0f); } // draw square subdivided into quad strips private void drawPlane(GL gl, float w, float h, int rows, int cols) { int x, y; float vx, vy, s, t; float ts, tt, tw, th; ts = 1.0f / cols; tt = 1.0f / rows; tw = w / cols; th = h / rows; gl.glNormal3f(0.0f, 0.0f, 1.0f); for(y=0; y